Problem 4: A loop of wire with radius r =0.075 m is placed in a region of uniform magnetic field with magnitude B. As shown in the figure, the field direction is perpendicular to the plane of the loop. The magnitude of the magnetic field changes at a constant rate from B1 =0.35 T to B2 =2.5 T in time At=2.5 s. The resistance of the wire is R =62. he -T 135 Part (a) Enter an expression for the magnitude of the magnetic flux through the loop using the symbols in the palette below. Your expression must be valid at all times described in the problem statement. B✓ Correct 13% Part (b) Enter an expression for the change in the magnitude of the magnetic flux through the loop using the symbols in the palette below. 40 = (BB) Correct! 135 Part (e) Calculate the numerical value, in tesla squared meters, of the change in the magnitude of the flux 40 =0,038 Correct! - 13 Part (6) Enter an expression for the magnitude of the induced emf in the loop using the symbols in the palette =A0/211 AL * Attempt Remain * 134 Part (e Calculate, in volts, the numerical value of the magnitude of the emf. € 0.032 V Grade Summary Deductions 09 Potential 100 Late Work 90% Late Potential 90% HOME sino coso tano cotan asino acos atan() acotan sinh cosho tanho cotanh O Degrees Radians 7 8 9 E 4 5 6 1 1 2 3 0 VO HACKSPACE Submissions Attempos remaining co per attempt detailed view + END CLEAR Submit I give up! Hinta: 0 for a deduction. Hints remaining Feedback o deduction per feedback & 13% Part ( Enter an expression for the magnitude of the current induced in the loop using the symbols in the palette. 135 Part(s) Calculate the numerical value, in amperes of the magnitude of the induced current. 13% Part (h) If you are looking down at the loop from above, so that the magnetic field is directed towards you, what is the direction of the induced current?

Answers

Answer 1

(a) The expression for the magnitude of the magnetic flux through the loop, if the magnitude of the magnetic field changes at a constant rate from B1 = 0.35 T to B2 = 2.5 T in time At = 2.5 s and the resistance of the wire, is R = 62 is Φ = B * π * r².

(b) The expression for the change in the magnitude of the magnetic flux through the loop is ΔΦ = (B2 - B1) * π * r².

(c) The numerical value of the change in the magnitude of the flux is ΔΦ = 0.053 T.

(d) The expression for the magnitude of the induced emf in the loop is ε = ΔΦ / Δt.

(e) The numerical value of the magnitude of the emf is ε = 0.032 V.

(f) The expression for the magnitude of the current induced in the loop is I = ε / R.

(g) The numerical value of the magnitude of the induced current is -0.000516 A.

(h) The direction of the induced current follows the right-hand rule, which means it would be counterclockwise.

The magnetic flux through the loop can be calculated using the formula Φ = BA, where B is the magnitude of the magnetic field, A is the area of the loop, and Φ is the magnetic flux. Since the magnetic field is perpendicular to the plane of the loop, the area vector is perpendicular to the magnetic field, and the angle between them is 90 degrees. Therefore, the magnitude of the magnetic flux through the loop is Φ = BA = Bπr².

The change in the magnitude of the magnetic flux through the loop can be calculated using the formula ΔΦ = Φ2 - Φ1, where Φ1 and Φ2 are the initial and final magnetic fluxes, respectively. Using the expression for Φ from part (a), we get ΔΦ = (B2 - B1) * π * r².

The numerical value of the change in the magnitude of the flux is given as 0.038 tesla squared meters, which can be substituted into the expression for ΔΦ from part (b) to get 0.038 = πr²(B2 - B1). Solving for (B2 - B1), we get (B2 - B1) = 0.038/πr² = 0.053 T.

The magnitude of the induced emf in the loop can be calculated using Faraday's law, which states that the emf induced in a loop is equal to the rate of change of magnetic flux through the loop. Therefore, the magnitude of the induced emf is given by E = -dΦ/dt, where Φ is the magnetic flux through the loop and t is time. Differentiating the expression for Φ from part (a) with respect to time, we get dΦ/dt = Bπr²(dt/dt) = Bπr². Substituting this into the formula for the magnitude of the induced emf, we get E = -dΦ/dt = -Bπr².

The numerical value of the magnitude of the emf can be calculated using the expression for E from part (d) and the value of B2 - B1 from part (c). Substituting these values, we get E = -Bπr² = -0.075²(0.053)π = -0.032 V.

The magnitude of the current induced in the loop can be calculated using Ohm's law, which states that the current induced in a loop is equal to the induced emf divided by the resistance of the loop. Therefore, the magnitude of the induced current is given by I = ε/R, where ε is the induced emf and R is the resistance of the wire. Substituting the values for E and R, we get I = -0.032/62 = -0.000516 A.

According to Lenz's law, the direction of the induced current in the loop is such that it opposes the change in the magnetic flux through the loop. In this case, the magnetic field is increasing, so the induced current will produce a magnetic field that opposes this increase. Using the right-hand rule, we can determine that the induced current will flow in a direction clockwise when viewed from above.

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Related Questions

help me find the series with images included! thank you

help me find the series with images included! thank you

Answers

b. We can Connect 3 cells in series to 3 lamps in parallel and place an ammeter on the circuit to measure the current through one of the lamps.

The image is attached.

c. In this  connection, we creates a series connection where the current flowing through each component is the same.

How do we connect?

the two cells' positive and negative terminals must be connected in order to complete the circuit. As a result, a parallel connection is formed where the overall current capacity rises while the voltage across each cell stays the same.

The positive terminal of the first light would be connected to the negative terminal of the second lamp in order to link the two lamps and a motor in series. The second lamp's positive terminal would then be connected to one of the motor's terminals. Finally, you would attach the other motor terminal to the first lamp's negative terminal.

This establishes a series connection in which each component receives the same amount of current.

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What is the least dense planet in our solar system?.

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Answer:

Jupiter is the largest planet in the solar system, but it's Saturn—the solar system's second largest planet—that takes the prize for least dense. It's less dense than water, which has led many people to postulate that it would float.

How would your results be affected if you hold the torque constant but used a much smaller rotating platform? Would angular acceleration be higher, lower, or the same? Justify your answer.

Answers

If the torque is held constant but a much smaller rotating platform is used, the moment of inertia of the system would decrease.

This is because moment of inertia is directly proportional to the mass and the distance from the axis of rotation. Since the mass of the platform would be smaller and its distance from the axis of rotation would be smaller, the moment of inertia would decrease.  According to Newton's second law, the angular acceleration is directly proportional to the net torque and inversely proportional to the moment of inertia. Therefore, if the moment of inertia decreases, the angular acceleration would increase. This means that the angular acceleration would be higher if a much smaller rotating platform is used while holding the torque constant.  In summary, using a much smaller rotating platform while holding the torque constant would result in a lower moment of inertia and a higher angular acceleration.

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The energy in the nucleus of atoms produce heat which Can be used to generate which energy ​

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Nuclear energy is the energy in the nucleus, or core, of an atom. Nuclear energy can be used to create kinetic energy or electricity, but it must first be released from the atom.

What produces heat in Nuclear energy?

Nuclear energy originates from the splitting of uranium atoms – a process called fission. This generates heat to produce steam, which is used by a turbine generator to generate electricity. Because nuclear power plants do not burn fuel, they do not produce greenhouse gas emissions.

What are main uses of Nuclear energy?

Some primary uses of nuclear energy are- Space Exploration, Nuclear energy provides nearly 20% of electricity in many countries like United States, Medical Diagnosis and Treatment, Criminal Investigation and Agriculture.

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An atom is electrically neutral.


True or False

Answers

it’s true
an atom as a whole is electrically neutral

Answer:

true

Reason for answer

it can't be false

The human ear canal is, on average, 2.5cm long and aids in hearing by acting like a resonant cavity that is closed on one end and open on the other. The length of the ear canal is partially responsible for our sensitivities to certain frequencies. Use 340m/s for the speed of sound when performing the following calculations.a. What is the first resonant frequency?b. What is the wavelength at second resonance?

Answers

Answer:

To calculate the resonant frequency and the wavelength in the ear canal, the formulas for closed cavity resonances can be used:

a. First resonant frequency:

The resonant frequency f n can be calculated from the length l of the ear canal and the speed of sound v as follows:

fn = nv / 4l

where n is an integer representing the number of resonances. For the first resonance (n = 1), the resonant frequency can be calculated as:

f 1 = v / 4l = (340 m/s) / (4 * 2.5 cm) = 272,000 Hz

b. Wavelength at second resonance:

The wavelength λ of the resonant frequency can be calculated from the frequency and speed of sound:

λ = v/f

For the second resonance (n = 2), the resonant frequency is:

f 2 = 2v / 4l = 2 * 272,000 Hz = 544,000 Hz

and the wavelength can be calculated as:

λ 2 = v / f 2 = (340 m/s) / 544,000 Hz = 0.00063 m = 6.3 mm

These calculations are approximate and may vary depending on the shape and acoustic properties of the ear canal.

Formulate a hypothesis on how the force between a pair of cars in a
train undergoing constant acceleration compares to the forces
between other cars in the same train.

Answers

The force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.

The hypothesis on how the force between a pair of cars in a train undergoing constant acceleration compares to the forces between other cars in the same train is detailed below.

As the cars in a train undergo constant acceleration, the force between a pair of cars is more significant than the forces between other cars in the same train. This is due to the fact that as the acceleration increases, the force between a pair of cars increases because the car at the back is pushed forward while the car in front is pulling backward, and as a result, there is an increase in the force acting between the two cars.

                                    However, the forces between other cars in the same train are not as significant as the force between a pair of cars because there is no direct contact between them, and hence the force is much less. The greater the acceleration, the greater the force acting between a pair of cars in the train, while the force acting between other cars remains negligible.

Therefore, the force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.

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a train moves from a train station at 30meter per second after 5 seconds its cover the distance of 100 m and the acceleration is ten meters per second square find the speed​

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The speed of a train that moves from a train station at 30 meters per second after 5 seconds and covers a distance of 100 m with an acceleration of ten meters per second square would be 80 m/s.

Speed of a train

We can use the equation of motion to solve for the final velocity of the train:

v = u + at

where:

v = final velocityu = initial velocity = 30 m/sa = acceleration = 10 m/s^2t = time = 5 s

Substituting the values, we get:

v = 30 + 10(5)

v = 80 m/s

Therefore, the speed of the train after 5 seconds is 80 m/s.

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A sample containing 1.00 kmol of helium (treated as an ideal gas)is put through the cycle of operations shown in the figure. BC isan isotherm, and pA = 1.00 atm, VA = 22.4 m3, pB = 2.00 atm. Calculate the temperatures TA, TB and volume VC.Calculate the work done during the cycle. Recall the expression for work done during anisothermal process. with diagram from 2017 exam phy 131

Answers

The final answers are: TA = TB = 298 K; VC = (1.00 kmol * R * TA)/1.00 atm = 22.4 m³ and Work done during the cycle = 0 J

From the given information, we can see that the cycle consists of two processes: process A to B and process B to C.

During process A to B, the pressure of the gas is increased from 1.00 atm to 2.00 atm while the volume remains constant at VA = 22.4 m3. Since the volume is constant, the work done during this process is zero.

Using the ideal gas law, we can find the initial temperature of the gas:

PV = nRT

1.00 atm * 22.4 m3 = 1.00 kmol * R * TA

where R is the gas constant and TA is the initial temperature.

Solving for TA, we get:

TA = (1.00 atm * 22.4 m3)/(1.00 kmol * R)

During process B to C, the gas undergoes an isothermal expansion from pressure pB = 2.00 atm to pressure pC = 1.00 atm. Since the process is isothermal, the temperature remains constant at TB = TA. Using the ideal gas law again, we can find the final volume of the gas:

PV = nRT

2.00 atm * VB = 1.00 kmol * R * TA

where VB is the volume of the gas at point B

Solving for VB, we get:

VB = (1.00 kmol * R * TA)/2.00 atm

At point C, the pressure and temperature of the gas are the same as point A, so we can use the ideal gas law to find the volume:

PV = nRT

1.00 atm * VC = 1.00 kmol * R * TA

where VC is the volume of the gas at point C.

Solving for VC, we get:

VC = (1.00 kmol * R * TA)/1.00 atm

To calculate the work done during the cycle, we can use the expression for work done during an isothermal process:

W = nRT ln(Vf/Vi)

where n is the number of moles of gas, R is the gas constant, T is the temperature, and Vf and Vi are the final and initial volumes, respectively.

For process B to C, the work done is:

W_BC = nRT ln(VC/VB)

For process C to A, the work done is:

W_CA = nRT ln(VA/VC)

The total work done during the cycle is:

W_total = W_BC + W_CA

Substituting the values we found earlier for TA, VB, and VC, we can calculate the work done during the cycle.

From our calculations, we found that TA = TB = 298 K, VB = (1.00 kmol * R * TA)/2.00 atm = 11.2 m³, and VC = (1.00 kmol * R * TA)/1.00 atm = 22.4 m³.

Using the ideal gas law and the given information, we can calculate the number of moles of helium in the sample:

PV = nRT

1.00 atm * 22.4 m³ = n * R * 298 K

n = (1.00 atm * 22.4 m³)/(R * 298 K) = 1.00 kmol

So, the number of moles of helium in the sample is 1.00 kmol.

Now, we can use the expression for work done during an isothermal process to calculate the work done during each process:

W_BC = nRT ln(VC/VB) = (1.00 kmol) * (8.31 J/K*mol) * (298 K) * ln(22.4 m³/11.2 m³) = 0 J

W_CA = nRT ln(VA/VC) = (1.00 kmol) * (8.31 J/K*mol) * (298 K) * ln(22.4 m³/22.4 m³) = 0 J

So, the total work done during the cycle is zero.

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First, we can use the ideal gas law to calculate the initial volume of the helium gas at state A:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

At state A, we have:

P = 1.00 atm

n = 1.00 kmol = 1000 mol

R = 8.314 J/(mol K)

Using the given volume of VA = 22.4 m^3, we can rearrange the ideal gas law to solve for the initial temperature TA:

T = PV/nR

T_A = (1.00 atm)(22.4 m^3)/(1000 mol)(8.314 J/(mol K))

T_A ≈ 268 K

Next, we know that state B is at a pressure of 2.00 atm, and since BC is an isotherm, we can assume that the temperature remains constant at TB = TA ≈ 268 K. We can use the ideal gas law again to solve for the volume at state B:

P_BV_B = nRT_B

V_B = nRT_B/P_B

V_B = (1000 mol)(8.314 J/(mol K))(268 K)/(2.00 atm)

V_B ≈ 11.3 m^3

Finally, since BC is an isotherm, we know that the temperature at state C is also TB ≈ 268 K. We can use the ideal gas law again to solve for the volume at state C:

P_CV_C = nRT_B

V_C = nRT_B/P_C

V_C = (1000 mol)(8.314 J/(mol K))(268 K)/(1.00 atm)

V_C ≈ 44.9 m^3

To calculate the work done during the cycle, we need to use the expression for work done during an isothermal process:

W = nRT ln(V_f/V_i)

where V_i and V_f are the initial and final volumes, respectively.

During the process AB, the volume changes from VA = 22.4 m^3 to VB ≈ 11.3 m^3:

W_AB = (1000 mol)(8.314 J/(mol K))(268 K) ln(11.3 m^3/22.4 m^3)

W_AB ≈ -9867 J

During the process BC, the volume changes from VB ≈ 11.3 m^3 to VC ≈ 44.9 m^3:

W_BC = (1000 mol)(8.314 J/(mol K))(268 K) ln(44.9 m^3/11.3 m^3)

W_BC ≈ 26309 J

During the process CA, the volume changes from VC ≈ 44.9 m^3 back to VA = 22.4 m^3:

W_CA = (1000 mol)(8.314 J/(mol K))(268 K) ln(22.4 m^3/44.9 m^3)

W_CA ≈ -16442 J

Therefore, the total work done during the cycle is:

W_total = W_AB + W_BC + W_CA

W_total ≈ 5 J (rounded to the nearest whole number)

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These steps are followed when using the half-life of carbon-14 to determine
the age of an object that contains carbon. What is the correct order of these
steps?
A. Measure the ratio of parent nuclei to daughter nuclei.
B. Use the half-life of carbon-14 to determine the number of half-lives
that have passed.
C. Use the number of half-lives that have passed to determine the age
of the object.
A. C, B, A
B. A, C, B
C. B, C, A
D. A, B, C

Answers

The half-life of carbon-14 to determine the age of an object that contains carbon B, C, A is the correct order of these steps.

What is carbon used for?

Most industries in the world use carbon in some capacity. Coal, methane gas, and crude oil are all utilized as fuels (which is used to make gasoline). It is used to create a variety of products, including plastic and steel alloys (a combination of carbon and iron).

Where is carbon found?

With the exception of a little amount that is present in the ocean, atmosphere, and living creatures, most of the carbon on Earth is trapped in rocks and sediments. These act as sinks or reservoirs for the carbon cycles.

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Given a Lagrangian of a system as L = 1/2 *m(p^2 + p^2theater^2
+ z^2) - U(p, theater) find the equation of constants and write HJ
equation for the system.

Answers

The Lagrangian of a system denoted as L, is a function that characterizes the dynamics of the system in terms of its generalized coordinates and their derivatives. The equation of constants for the system is \(p_t = 0\), and the Hamilton-Jacobi equation is \(2{\partial }S/{\partial }t = 0\), indicating that the action S is independent of time.

The Lagrangian provides a mathematical description of the system's dynamics and is a fundamental concept in the Lagrangian formulation of classical mechanics. It encapsulates the physics of the system by expressing the difference between its kinetic and potential energies.

To find the equation of constants and write the Hamilton-Jacobi (HJ) equation for the system, we'll start by defining the generalized coordinates and momenta:

q = (p, θ, z) (generalized coordinates)

p = (p, pθ, pz) (generalized momenta)

The Hamiltonian (H) of the system is given by:

\(H = \sum(p_i * q_i) - L\)

where q₁ represents the time derivative of the generalized coordinates q₁.

In this case, the Lagrangian (L) is given as:

\(L = 1/2 * m * (p^2 + p\theta^2 * \theta^2 + z^2) - U(p, \theta)\)

To find the equation of constants, we observe that the Lagrangian does not explicitly depend on time (t).

Therefore, the generalized momentum conjugate to time, which is denoted as \(p_t\), is a constant of motion:

\(p_t = {\partial L/{\partial q_t = {\partial L/{\partial ({q_t) = 0\)

Since there is no explicit dependence on time in the Lagrangian, the equation of constants is \(p_t = 0\).

Next, we can write the HJ equation for the system. The HJ equation is given by:

\(H(q, {\partial }S/{\partial }q) + {\partial }S/{\partial }t = 0\)

where S is the action of the system. In this case, the HJ equation can be written as:

\(H(q, {\partial }S/{\partial }q) + {\partial }S/{\partial }t = 0\)

Substituting the expressions for the Hamiltonian and the Lagrangian into the HJ equation, we have:

\([sum(p_i * q_i) - L](q, {\partial }S/{\partial }q) + {\partial }S/{\partial }t = 0\)

Since the Hamiltonian is defined as:

\(H = \sum(p_i * q_i) - L\)

We can rewrite the equation as:

\(H(q, {\partial }S/{\partial }q) +{\partial }S/{\partial }t - H(q, {\partial }S/{\partial }q) + {\partial }S/{\partial }t = 0\)

which simplifies to:

\(2{\partial }S/{\partial }t = 0\)

From this equation, we can see that the action S does not explicitly depend on time (t), so the time derivative of S is zero.

Therefore, the equation of constants for the system is \(p_t = 0\), and the Hamilton-Jacobi equation is \(2{\partial }S/{\partial }t = 0\), indicating that the action S is independent of time.

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What is the mass of a 50kg object in space with no gravity?

Answers

Answer:

The answer would be 0kg.

Your welcome.

atoms in a thin, hot gas (such as a neon advertising sign), according to kirchhoff's laws, emit light at

Answers

Atoms in a thin, hot gas (such as a neon advertising sign) emit light at particular wavelengths, which is called spectral lines. When a thin, hot gas is examined using a spectroscope, the spectral lines are produced. In other words, these spectral lines are unique to the element that emits them.

According to Kirchhoff's laws, atoms in a thin, hot gas (such as a neon advertising sign) emit light at particular wavelengths, which is called spectral lines.

When a thin, hot gas is examined using a spectroscope, the spectral lines are produced. In summary, Kirchhoff's laws state that the spectral lines of a hot gas are unique to the element that emits them. These spectral lines can be used to identify the element present in the gas.

Atoms in a thin, hot gas (such as a neon advertising sign) emit light at particular wavelengths, which is called spectral lines. When a thin, hot gas is examined using a spectroscope, the spectral lines are produced. In other words, these spectral lines are unique to the element that emits them.
These spectral lines can be used to identify the element present in the gas. According to Kirchhoff's laws, when an electric current is passed through a thin gas in a discharge tube, the atoms in the gas absorb energy from the electric current and emit light.
The light is then separated into its component colors using a prism. A bright line spectrum is generated when the prism disperses the light into its component colors. The bright line spectrum corresponds to the energy absorbed and emitted by the atoms of the gas. Therefore, the bright line spectrum can be used to identify the elements present in the gas.

Kirchhoff's laws describe how elements produce a bright line spectrum, which can be used to identify elements present in a gas. When a thin, hot gas is examined using a spectroscope, the spectral lines are produced. The spectral lines are unique to the element that emits them.

The spectral lines can be used to identify the element present in the gas. When an electric current is passed through a thin gas in a discharge tube, the atoms in the gas absorb energy from the electric current and emit light. The light is then separated into its component colors using a prism.

The bright line spectrum is generated when the prism disperses the light into its component colors. The bright line spectrum corresponds to the energy absorbed and emitted by the atoms of the gas. The bright line spectrum can be used to identify the elements present in the gas.

In conclusion, Kirchhoff's laws state that the spectral lines of a hot gas are unique to the element that emits them. These spectral lines can be used to identify the element present in the gas. A bright line spectrum is produced when the light from a hot gas is separated into its component colors using a prism. The bright line spectrum corresponds to the energy absorbed and emitted by the atoms of the gas. Therefore, the bright line spectrum can be used to identify the elements present in the gas.

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When work is done by a system, does the internal energy of the system increase or decrease?

Answers

Answer:

Decrease

Explanation:

The mathematical relationship between heat, internal energy and work done by the system is given as:

△U = Q + W

where △U is the change in the internal energy

W is the workdone by the system

Q is the heat energy in the system

Since the workdone by the system is negative, when a system does work, there is a depletion in the amount of energy possessed by the system.

Due to this loss of energy by the system as a result of the workdone, the internal energy decreases.

HELP PLEASE!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (20pts)

HELP PLEASE!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you

Answers

Explanation:

potential energy =360800J

mass(m)=?

height (h)=25m

g=9.8m/s²

we have

potential energy =360800J

mgh=360800J

m×9.8×25=360800

m=360800/(9.8×25)=1472.653061kg

Answer:

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HELP ME PLEASE !!!!!!!!!!!!!!!!!

HELP ME PLEASE !!!!!!!!!!!!!!!!!

Answers

Answer:

Option D. 6.1 m/s²

Explanation:

We'll begin by calculating the acceleration due to gravity in each case. This is illustrated below:

1. For Rock:

Mass (m) = 20 g

Force (F) = 0.1224 N

Acceleration due to gravity (g) =?

Next, we shall convert 20 g to kg. This can be obtained as follow:

1000 g = 1 kg

Therefore,

20 g = 20/1000

20 g = 0.02 kg

Finally, we shall determine the acceleration due to gravity as follow:

Force of gravity (F) = mass (m) x Acceleration due to gravity (g)

F = mg

Mass (m) = 0.02 kg

Force (F) = 0.1224 N

Acceleration due to gravity (g) =?

F = mg

0.1224 = 0.02 × g

Divide both side by 0.02

g = 0.1224/0.02

g = 6.12 m/s²

2. For Grain of sand:

Mass (m) = 0.8 g

Force (F) = 0.00501 N

Acceleration due to gravity (g) =?

Next, we shall convert 0.8 g to kg. This can be obtained as follow:

1000 g = 1 kg

Therefore,

0.8 g = 0.8/1000

0.8 g = 0.0008 kg

Finally, we shall determine the acceleration due to gravity as follow:

Force of gravity (F) = mass (m) x Acceleration due to gravity (g)

F = mg

Mass (m) = 0.0008 kg

Force (F) = 0.00501 N

Acceleration due to gravity (g) =?

F = mg

0.00501 = 0.0008 × g

Divide both side by 0.0008

g = 0.00501/0.0008

g = 6.26 m/s²

3. For Metal bolt:

Mass (m) = 79 g

Force (F) = 0.4871 N

Acceleration due to gravity (g) =?

Next, we shall convert 79 g to kg. This can be obtained as follow:

1000 g = 1 kg

Therefore,

79 g = 79/1000

79 g = 0.079kg

Finally, we shall determine the acceleration due to gravity as follow:

Force of gravity (F) = mass (m) x Acceleration due to gravity (g)

F = mg

Mass (m) = 0.079 kg

Force (F) = 0.4871 N

Acceleration due to gravity (g) =?

F = mg

0.4871 = 0.079 × g

Divide both side by 0.079

g = 0.4871/0.079

g = 6.17 m/s²

From the above calculation we obtained the following values for acceleration due to gravity (g):

Object >>>> Acceleration due to gravity

Rock >>>>> 6.12 m/s²

Sand >>>>> 6.26 m/s²

Metal >>>>> 6.17 m/s²

Thus, closest approximation of the acceleration due to gravity of the planet is 6.1 m/s²

A 2,100-kg pile driver is used to drive a steel beam into the ground. The pile driver falls 5.00 m before coming into contact with the top of the beam, and it drives the beam 12.0 cm farther into the ground before coming to rest. Using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.

Answers

Answer:

858375 N of force is exerted on the pile driver by the beam.

Explanation:

mass of the pile driver m = 2100 kg

distance of fall = 5 m

distance through which the beam is driven = 12 cm = 0.12 m

weight of the pile driver = mg

where g = acceleration due to gravity = 9.81 m/s^2

weight of pile driver = 2100 x 9.81 = 20601 N

work done by gravity in bringing the pile driver done the 5 m height is

work = weight x distance = 20601 x 5 = 103005 J

This work by gravity is also used to do work in driving the beam into the 12 cm depth.

The force exerted by the beam on the pile driver will be proportional to the force used to do the work in driving the beam through the 12 cm depth.

equating the works, we have

103005 = F x 0.12

F = 103005/0.12 = 858375 N of force

What reasoning correctly pairs a body system with its relationship to the digestive system?

Group of answer choices

excretory system; transports nutrients from the small intestine to other tissues

respiratory system; obtains oxygen so the energy in nutrients can be extracted

circulatory system; regulates and controls digestive functioning

nervous system; removes wastes from the blood SCIENCE

Answers

Answer:

I Believe the Correct Answer is respiratory system; obtains oxygen so the energy in nutrients can be extracted.

Explanation:

Respiratory System is made for oxygen and involves the Lungs Diaphragm etc.

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What are the characteristics of the energy we see as light?

Answers

The energy we see as light has several key characteristics:

Wavelength: Light is characterized by its wavelength, which determines its color. Different wavelengths of light produce different colors, with longer wavelengths appearing as red and shorter wavelengths appearing as violet.

Frequency: Light also has a frequency, which is related to its wavelength. The frequency determines the amount of energy contained in the light, with higher frequency light having more energy than lower frequency light.

Speed: Light travels at a constant speed in a vacuum, which is approximately 299,792,458 meters per second.

Direction: Light travels in straight lines, and it can be described as a beam of energy that moves in a specific direction.

Polarization: Light can be polarized, which means that its electric field is restricted to a single plane.

What is energy?

Energy is a property of physical systems that allows them to perform work. It is often defined as the ability to do work and is measured in units of joules (J) or other equivalent units. Energy can take many forms, including thermal energy (heat), mechanical energy (motion), electrical energy, and radiant energy (light). It can be transformed from one form to another, but it cannot be created or destroyed. This concept is known as the law of conservation of energy.

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In the absence of air resistance, a projectile launched at an angle of 33 above the horizontal will have the same range as a projectile launched at which of the following angles? O 38 O 57⁰ 0:45. 07

Answers

A projectile is launched at an angle of 33⁰ above the horizontal, then the projectile launched at an angle of 90 - 33 = 57⁰ will have the same range as the projectile launched at 33⁰. The correct option is (B) 57⁰.

In the absence of air resistance, a projectile launched at an angle of 33 above the horizontal will have the same range as a projectile launched at an angle of 57⁰.

The range of a projectile can be determined by using the range formula.

R = ((v^2 * sin(2θ))/g) Where

R is the range of the projectile,

v is the velocity of the projectile,

θ is the angle at which the projectile is launched, and

g is the acceleration due to gravity.

In the absence of air resistance,

the horizontal component of velocity of a projectile remains constant throughout the flight.

So, the range of a projectile depends only on its initial velocity and the angle at which it is launched.

If a projectile is launched at an angle θ,

the time of flight of the projectile can be calculated by using the following formula:

T = (2v * sin(θ))/g

The maximum height reached by the projectile is given by the formula:

H = (v^2 * sin^2(θ))/2gIf a projectile is launched at an angle θ, then the range of the projectile will be the same as the range of the projectile launched at an angle of (90 - θ).

So, if a projectile is launched at an angle of 33⁰ above the horizontal, then the projectile launched at an angle of 90 - 33 = 57⁰ will have the same range as the projectile launched at 33⁰.

Therefore, the correct option is (B) 57⁰.

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Sometimes, supplies can be delivered to people in remote areas by dropping them off from a plane. This is usually the case for ground troops working in areas where planes are unable to land safely. Parachutes are attached to boxes to prevent damage to items when they land. Compare the parachute setups in the image; A has three parachutes attached, B has one parachute attached, and C has two parachutes attached. If every parachute in all three setups are the same size, and each setup was attached to a 50-pound box, which lists the order the boxes would land from slowest to quickest?
A) A, B, C
B) B, C, A
C) А,С, В
D) В, А, С​

Answers

The order the boxes would land from slowest to quickest is A,C,B which is option C.

What is a Parachute?

This is a device used to slow the motion of an object through an atmosphere by creating drag.

The size of the parachute affects the speed of falling because a larger parachute allows it to displace more air, causing it to fall more slowly. The one with three parachutes which is A will fall slowest and the one with just one will fall fastest.

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a pump is used to pump fuel from a tank 5.0m below the surface to an overhead tank 7.5m above the surface. What is the minimum power the pump has to deliver to pump 60000L in 30 minutes 1000L of fuel has a mass of 790kg

Answers

The power delivered to the pump is 3225.8 W.

What is power?

Power is the the rate at which energy is consumed.

To calculate the minimum power the pump has to deliver to pump the fuel, we use the formula below.

Formula:

P = mgh/t....................... Equation 1

Where:

P = Powerm = Mass of the fuelh = Height g = Acceleration due to gravityt = Time

From the question,

Given:

m = (60×790) = 47400 kgg = 9.8 m/s²h = (5+7.5) = 12.5 mt = 30×60 = 1800 s

Substitute these values into equation 1

P = (47400×9.8×12.5)/1800P = 3225.8 W

Hence, the power is 3225.8 W.

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If one nation uses comparative

advantage to produce cattle,

while another nation uses

comparative advantage to

produce timber, what should

happen for the benefit of both

nations?

A. Both nations should exchange their

specialized products.

B. Both nations should alter their production

to create a different product.

C. Both nations should begin making what

the other nation makes.

D. Both nations should only rely on the

individual product it makes.

Answers

The most advantageous option for both nations is option A, where both nations should exchange their specialized products.

This is because by using comparative advantage, each nation can produce their specialized product at a lower opportunity cost than the other nation. For example, if one nation has a comparative advantage in cattle production, it can produce cattle at a lower opportunity cost than timber production. On the other hand, if the other nation has a comparative advantage in timber production, it can produce timber at a lower opportunity cost than cattle production. By exchanging their specialized products, both nations can benefit from the lower opportunity cost and increase their production efficiency. This will lead to an overall increase in production and economic growth for both nations. Option B is not optimal because altering production may not be possible or may not lead to the same level of efficiency. Option C is also not optimal because each nation has a specialized advantage that they should continue to utilize. Option D is not optimal because it limits the potential for economic growth through specialization and exchange.

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Answer: A. Both nations should exchange their specialized products.

Explanation: When one nation uses its comparative advantage to produce cattle, and another nation uses its comparative advantage to produce timber, it is in their mutual benefit to exchange their specialized products through international trade. By doing so, both nations can obtain the product they don't specialize in more efficiently and at a lower opportunity cost than if they were to produce it domestically. This allows each nation to enjoy a wider range of goods and services, leading to increased overall economic welfare for both countries.

Does red or green light have more energy.

Answers

Answer: Green Light

Explanation:

The color green has a higher frequency than the color red and the higher the frequency the more energy. If you looks at a rainbow you'll see red on one end and violet on the other. Red has the least energy Violet has the most.

PHYSICS GIVING LOTS OF POINTS!!! 100
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because

electrons are not within the nucleus
electrons are negatively charged
electrons can be removed from or added to an atom
electrons are lighter than protons

Answers

Answer:

electrons can be removed or added creating ions of the element

Explanation:

An A. C is supply is
Connected accross a Capacitor
of 5 nf R=50_n in series at 50ttz find the;
Capacity rectance
Pedance
Supply Current
Vortage a cross the capacity

Answers

Answer:

d

Explanation:

The insulating material placed between the conducting plates of a capacitor is a(n) ?

Answers

Answer:

the answer is dielectric

hope helps you

Explanation:

Answer:

dielectric

Explanation:

edge

A gas at 300 kPa, is in a sealed container of volume 100 cm3 at 30°C. If the container is heated to 100°C, what is pressure of the gas inside the container?

Answers

Given:

Pressure, P = 300 kPa

Volume, V = 100 cm³

Temperature, T = 30°C

Let's fin the pressure of the gas inside the container if it is heated to 100°C.

Apply the Gay-Lussac's law:

\(\frac{P_1}{T_1}=\frac{P_2}{T_2}\)

Where:

P1 = 300 kPa

T1 = 30 + 273 = 303 K

T2 = 100 + 273 = 373 K

V1 = V2 (since the container is sealed).

Let's solve for P2.

Rewrite the formula for P2:

\(\begin{gathered} P_2=\frac{P_1T_2}{T_1} \\ \\ P_2=\frac{300*373}{303} \\ \\ P_2=\frac{111900}{303} \\ \\ P_2=369.31\text{ kPa} \end{gathered}\)

Therefore, the pressure if the container is heated to 100°C is 369.31 kPa.

ANSWER:

369.31 kPa

Suppose you are testing a new amusement park roller coaster with an empty car with a mass of 100 kg. One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A), the car has a speed of 25.0 m/s and at the top of the loop (point B), it has a speed of 8.00 m/s. As the car rolls from point A to point B, how much work is done by friction? Use 9.81 m/s2 for the acceleration due to gravity.

Answers

Answer:

Explanation:

Gain  of kinetic energy + work done by friction = loss of potential energy

= 1 / 2 m ( 25² - 8² ) + work done by friction = m x 9.8 x ( 12 + 12 )

= .5 x 100 x ( 625 - 64 ) + work done by friction = 100 x 9.8 x 24

28050 + work done by friction = 23520

work done by friction = -4530 J

What is the potential difference between xi=20cm and xf=30cm in the uniform electric field Ex=1000V/m?
Express your answer to two significant figures and include the appropriate units.

Answers

The potential difference between xi=20cm and xf=30cm in the uniform electric field Ex=1000V/m is 100V.
Determining the potential difference for the electric field:
The electric potential difference (ΔV) between two points in an electric field is given by the formula:
ΔV = -Ex * Δx
where Ex is the electric field strength and Δx is the distance between the two points.
In this case, Δx = xf - xi = 30cm - 20cm = 10cm = 0.1m
Substituting the given values, we get:
ΔV = -1000V/m * 0.1m = -100V
Since the potential difference is a scalar quantity (i.e. it has only magnitude and no direction), we can ignore the negative sign and write the answer as:
The potential difference between xi=20cm and xf=30cm in the uniform electric field Ex=1000V/m is 100V.

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