A cart is initially moving at 0.5 m/s along a track with constant friction. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the car travel before coming to rest

When an object rolls without slipping down an inclined plane, the true statement(s) about static friction force are: It provides the torque to cause the angular acceleration and it goes against gravity to reduce the acceleration caused by gravity. The correct answer is B and E.

Friction is the force that opposes relative motion between surfaces in contact. It is also called a contact force because it operates between the surfaces in contact when they're in motion or when a force tries to move them relative to one another.

An inclined plane is a simple machine that consists of a sloping surface that connects a lower point to a higher point. It is one of the six classical simple machines that is used to reduce the effort needed to raise a weight to a certain height.

Rolling without slipping is a combination of translational motion (movement in a straight line) and rotational motion (movement around an axis) without any slipping occurring between the surfaces in contact. A wheel or any other circular object rolls without slipping when its forward motion is the same as its rotational motion.

Static friction is the force that keeps an object at rest or in a state of uniform motion on a surface when a force is applied on it. When two surfaces are in contact, static friction is the force required to overcome the sticking between them that resists motion.

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The centripetal force is the force that keeps a body moving in a circular path.

The centripetal force is given by; F = mv^2/r

1) We have;

F = 5,600 N

v = 20 m/s

r =?

m = 700 kg

Making r the subject of the formula;

r =mv^2/F

r = 700 × (20)^2/5,600

r = 50 m

2) F = mv^2/r

F = 900 × (5)^2/30

F = 750 N

3) Making r the subject of the formula;

r =mv^2/F

r = 800 × (40)^2/ 16,000

r = 80 m

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Answer:

The phenomenon known as the photoelectric effect occurs when the light of a specific frequency strikes a substance. The material's surface then experiences an electron emission.

Newtonian physics could not account for this event.

The energy in Newtonian physics is not discrete. The energy in quantum physics is discrete. This is the major reason why Newtonian physics could not account for the photoelectric effect.

Photons make up light. The photon is an energy particle. Quanta is another name for it. The photons' energy is quantized.

When a photon collides with a metal surface, an electron within the metal absorbs the energy of the photon so that it can eject from the surface.

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Sunlight photons are absorbed and infrared photons are reflected.

Edmentum

Considering the definition of atomic mass, isotopes and atomic mass of an element, the average atomic mass of lanthanum is 151.186 amu.

The atomic mass is obtained by adding the number of protons and neutrons in a given nucleus of a chemical element.

The same chemical element can be formed by different atoms, that is, their atomic numbers are the same, but the number of neutrons is different, thus generating the isotopes of the element.

The atomic masses of chemical elements are usually calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

In this case, you know:

The average mass of lanthanum can be calculated as:

average mass of lanthanum= 138.9 amu×0.9991 + 137.9 amu×0.09

average mass of lanthanum= 151.186 amu

Finally, the average atomic mass of the element in this case is 151.186 amu.

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A machine part is initially rotating at 0.500 rad/s. Its rotation speeds up with constant angular acceleration 2.50 rad/s². The machine part has rotated when its angular speed equals 3.25 rad/s through 8.8125 radians.

Angular velocity is defined as the rate at which an object rotates or moves around a central axis per unit time, measured in radians per second (rad/s).

The rate of change of angular velocity is known as angular acceleration, which is a vector quantity measured in radians per second per second. Angular acceleration is also known as rotational acceleration or centripetal acceleration. It is measured in radians per second squared (rad/s²) in the SI unit system.

The angular speed of the object at any moment in time t can be calculated by integrating the angular acceleration function over the time interval t0 to t. The angle travelled by the object in time t is equal to the area under the angular velocity function's graph from time t0 to t.

The angle rotated by the machine part can be calculated using the formula for angular displacement (θ):
θ = (ω₂² - ω₁²) / 2α
Where ω₁ is the initial angular speed (0.500 rad/s), ω₂ is the final angular speed (3.25 rad/s) and α is the angular acceleration (2.50 rad/s²).
Plugging these values into the equation, we get θ = 8.8125 radians.

The angular displacement of an object rotating with constant angular acceleration can be calculated by taking the difference in the square of the initial and final angular speeds, and dividing it by twice the angular acceleration. The result is the angle (in radians) through which the object has rotated. This is a useful formula to calculate the angular displacement of objects in many situations.

In this problem, the initial angular speed (ω₁) was 0.500 rad/s, the final angular speed (ω₂) was 3.25 rad/s, and the angular acceleration (α) was 2.50 rad/s². Plugging these values into the equation for angular displacement, the angle rotated by the machine part was calculated to be 8.8125 radians.

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Answer:

C-30m/s that my answer

The magnitude of the torque on the circular current loop is 5.36 × 10^-7 N m.

τ = μ x B x sin(θ)

B_wire = 4π × 10^-7 * 2.0 / 0.03 = 8.45 × 10^-5 T

B_loop = 4π × 10^-7 * 0.20 / (π * 0.002^2) = 0.001 T

τ = μ * B_wire * sin(90°) + μ * B_loop * sin(90°)

τ = π * r_loop^2 * I_loop * B_loop

τ = π * (0.03)^2 * 0.20 * 0.001 = 5.36 × 10^-7 N m

A current loop refers to a method of transmitting electrical signals over a long distance using a continuous loop of wire. The loop is typically made up of two wires, with one wire carrying the current and the other serving as a return path. Current loops are commonly used in industrial control systems and process automation applications because they are robust and immune to noise and interference.

In a typical current loop, a transmitter sends a low-level current signal through the loop, which is then detected by a receiver at the other end of the loop. The receiver measures the current and converts it back into a usable signal for further processing. Current loops can transmit analog or digital signals, and they are often used in applications such as temperature sensing, pressure sensing, and level sensing.

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Answer:

vestigation 4

Explanation:

Answer:

The resultant velocity of the boat = 5 m/s

The time it will take for the man to reach the other shore of the river =  25 s

Explanation:

width of river = 100 m

The velocity of the motorboat = 4 m/s eastward

The velocity of the water current = 3 m/s northward

The resultant velocity of the boat is:

R^2 = 4^2 + 3^2

= √ (4^2) + (3^2)

= √16 + 9

=√25

= 5 m/s

The time it will take for the man to reach the other shore of the river is:

d = 100 m

v = 4 m/s

t = d / v

t = 100 / 4

t =  25 s

The total work done by the compressor motor in the refrigerator is 8 Joules.

You placed your lunch leftovers in the refrigerator, and it needs to remove 4 joules (J) of thermal energy from the lunch to cool it to the inside temperature.

Simultaneously, the refrigerator produces 4 J of thermal energy that it expels into the kitchen. To determine the total work done by the compressor motor in the refrigerator, follow these steps:

Step 1: Understand the energy conservation principle.

The refrigerator works based on the principle of energy conservation. The energy that is removed from your lunch is not destroyed but transferred to another form, which is the thermal energy expelled into the kitchen.

Step 2: Calculate the total energy.
Since the refrigerator removes 4 J of thermal energy from your lunch and generates 4 J of thermal energy expelled into the kitchen, the total energy involved is the sum of these two values.

Total Energy = Energy removed from lunch + Energy expelled into the kitchen

Total Energy = 4 J + 4 J

Total Energy = 8 J

Step 3: Determine the work done by the compressor motor.
The work done by the compressor motor is equal to the total energy involved in the process, as there are no thermal losses due to friction in the motor.

Total Work Done = Total Energy

Total Work Done = 8 J

So, the total work done by the compressor motor in the refrigerator is 8 Joules.

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Answer:

When a branch of a tree is shaken, some of the fruits may fall down. Why? Solution : The fruits fall down due to inertia of rest.

Answer:

I HOPE IT WILL HELP YOU A LOT....

Vdst and Vdsq are different measurements of the voltage drop across the drain-source terminals of a MOSFET transistor, and to find Vdsq from Vdst, we need to measure Vdst and use a formula that takes into account Vgs and Vth.

To understand how to find Vdsq from Vdst, we need to first understand what these terms represent.

Vdst is the voltage drop across the drain-source terminals of a MOSFET transistor when it is in its ON state. This voltage drop is caused by the current flowing through the transistor, and it is a dynamic value that changes as the current changes.

Vdsq, on the other hand, is the voltage drop across the drain-source terminals of a MOSFET transistor when it is in its steady-state or quiescent state. This voltage drop is caused by the biasing of the transistor and is a static value that remains constant as long as the biasing conditions remain the same.

To find Vdsq from Vdst, we need to first measure the value of Vdst while the transistor is in its ON state. This can be done using a multimeter or an oscilloscope. Once we have the value of Vdst, we can then calculate Vdsq using the following formula:

Vdsq = Vdst + Vgs - Vth

where Vgs is the voltage applied to the gate of the transistor and Vth is the threshold voltage of the transistor.

As for how the value of 7 for Vdsq was found, it is impossible to say without more context. It could have been calculated using the formula above, or it could have been measured using experimental methods.

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derivation of moment of inertia from the sum of torques and sum of forces equation is I=mr(g-rα(net)/ α(fr) + α(net)

In physics, a moment of inertia is a quantitative measure of a body's rotational inertia—that is, the body's resistance to having its speed of rotation about an axis altered by the application of a torque (turning force).

Torque on system = (mg) x r - (m xa)x r -

a = rα(net) (the relationship between linear and rotational acceleration)

SO, T = mgr - mr2 α(net)

Torque is also given by T = I α

here α =α(fr) + α(net)

Hence α(fr) + α(net)= mgr - mr2 α(net)

I=mr(g-rα(net)/ α(fr) + α(net)

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The mean lifetime of A is given by τ(A) = 26 × 10⁻¹⁰ s. The A decays into p + e⁻ + ve with a branching fraction of BR(A → p + e⁻ + ve) = 83 × 10⁻⁴.The mean lifetime of A⁺ (udc) is given by τ(A⁺) = 2-1 × 10⁻¹³ s.

The branching fraction of A into A⁺ + e⁺ + ve is given as follows: First, we can calculate the decay constant for A.λ = (1/τ) = (1/26 × 10⁻¹⁰) s⁻¹.The half-life of A is given by t₁/₂ = ln(2) / λ = (ln2 × τ) = 2.667 × 10⁻¹⁰ s. The branching fraction of A → A⁺ + e⁺ + ve is given as follows: BR(A → A⁺ + e⁺ + ve) = 1 - BR(A → p + e⁻ + ve) = 1 - (83 × 10⁻⁴) = 0.99917.

The measured value of the branching fraction of A → A⁺ + e⁺ + ve is BR(e+ve) = 2106 %.This is greater than 100%. Therefore, the value must be a typographical error. The correct percentage is probably 21.06%.The estimated branching fraction of A → A⁺ + e⁺ + ve is 99.917%, which is very close to 100%. This implies that the A mainly decays into A⁺ + e⁺ + ve.

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When the velocity of a particle moving along an axis is known, the instantaneous acceleration equal to zero is given as 0.6t.

We estimate the average speed between two places in time separated by t while allowing t to decrease. The outcome is the velocity function's derivative, v. (t).

The slope of the tangent line to the graph at any given location on the graph corresponds to the instantaneous acceleration there. The instantaneous acceleration of the particle is equal to 0 when this line is horizontal and has a slope of 0. According to the plot, these times correlate to the velocity function's extrema, which can be found at t = 1.75, 2.75, 3.25, and for all t = 4.

t = 0.6 is the most likely choice.

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The required force to push the box straight up at a constant speed is zero.

The net force on the box is calculated by applying Newton's second law of motion as follows;

∑F = 0

F - Ff = ma

(at constant speed, acceleration is zero)

\(F- F_f = ma\\\\F - 0 = 0\\\\F = 0\)

Thus, the required force to push the box straight up at a constant speed is zero.

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Answer:

Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.

Answer:

False

Explanation:

It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.

The Tenth Value Layer (TVL) for copper, when exposed to a 1 MeV photon beam, is approximately 4.87 cm.

In the context of x-rays, the Half Value Layer (HVL) represents the distance at which the intensity of the x-rays is reduced by half.

Similarly, the Tenth Value Layer (TVL) refers to the distance at which the x-ray beam is attenuated to one-tenth (10%) of its original intensity.

If a copper material is exposed to a photon beam with an energy of 1 MeV, we can determine the TVL as the distance at which the beam's intensity is reduced to one-tenth of its original strength.

The TVL in copper hit by a photon beam of 1 MeV

The linear attenuation coefficient, denoted as μ, represents the measure of how a material attenuates or reduces the intensity of a radiation beam as it passes through.

It quantifies the ability of the material to absorb or scatter the radiation.

μ = λ/N, where λ is the mean free path and N is the number of atoms per unit volume.

Mean free path, λ is the average distance that a photon can travel before it interacts with matter.

For the given material (copper) and energy (1 MeV), the linear attenuation coefficient is 1.43 cm⁻¹.

The TVL can be calculated using the formula:

TVL = (ln10/μ) cmSubstitute the value of linear attenuation coefficient (μ) in the above equation,

TVL = (ln10/μ) cm= (ln10/1.43) cm≈ 4.87 cm

Therefore, the Tenth Value Layer (TVL) for copper, when exposed to a 1 MeV photon beam, is approximately 4.87 cm.

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Answer: 1CM CUBE OF LEAD

Explanation:

Answer:

hydraulic lift pump moves the lift piston out in a series of movements. and a hydraulic brake moves it out in one short break.

Given parameters:

Mass of object = 6.7kg

Velocity  = 8m/s

Unknown parameter:

Kinetic energy  = ?

Energy is defined as the ability to do work. There are two forms of energy;

Kinetic and potential energy.

Kinetic energy is the energy due to the motion of a body. Whereas, potential energy is the energy due to the position of a body usually at rest.

Kinetic energy is mathematically expressed as;

             Kinetic energy  = \(\frac{1}{2} m v^{2}\)

where m is the mass of the body

           v is the velocity of the body

Since we have been given both mass and velocity, input the parameter to solve for the unknown;

            Kinetic energy  = \(\frac{1}{2}\) x 6.7 x 8²   = 214.4‬J

So the kinetic energy of the body is  214.4‬J

The fact that the water is surrounded by sturdy rock, soil, and sand has some aspects that are highly advantageous if I were in charge of assessing a site for a hydraulic dam to generate electricity.

Therefore we know that, a hydraulic dam is where power is generated.

Electricity is produced at the dam and distributed throughout the entire nation. A dam is formed by six main elements.

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The fraction of the iceberg that is above the surface of the water is 8.3 %.

The specific gravity of any material is defined as the ratio of the density of the material to the density of water.

Mathematically, the formula for specific gravity of materials is given as;

S.G = density of the material / density of water

The given parameters include the following;

the specific gravity of the iceberg = 0.917

the specific gravity of the seawater = 1.025

The fraction of the iceberg submerged in the seawater is given as ;

= 0.917 = 0.917 x 100 %

= 91.7 %

The fraction of the iceberg that is above the surface of the water is calculated as;

= 1 - 0.917

= 0.083

= 0.083 x 100 %

= 8.3 %

Thus, the fraction of the iceberg submerged in the water is a function of the specific gravity of the iceberg.

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Answer/Explanation:

In chemistry, concentration is the abundance of a constituent divided by the total volume of a mixture. Several types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.

A concentration refers to a subject or study within a specific major. As part of the degree coursework, concentration classes count toward your major requirements as well.

ud = 0.511kg

od = 0.0525m

density = 4396.77 kg/m^3

(a) The approximate value of the mass, ud, is (1.0+0.022)/2 = 0.511 kg.

(b) The approximate value of the length, od, is (0.1+0.005)/2 = 0.0525 m.

(c) The estimated density can be calculated using the formula D = M/L^3.

          D = 0.511/(0.0525)^3 = 4396.77 kg/m^3.
To calculate the estimated error, we can use the formula for the propagation of errors, which states that the error in a function of two independent variables is the square root of the sum of the squares of the individual errors. In this case, the error in the density is given by:
error = sqrt((dD/dM * error in M)^2 + (dD/dL * error in L)^2)
where dD/dM = 1/L^3, dD/dL = -3M/L^4, error in M = (0.022-1.0)/2 = 0.489 kg, and error in L = (0.0052-0.1)/2 = 0.0474 m.
Substituting the values, we get:
error = sqrt((1/(0.0525)^3 * 0.489)^2 + (-3*0.511/(0.0525)^4 * 0.0474)^2) = 256.88 kg/m^3.
Therefore, the estimated density with the error in engineering notation is:
D = 4400 +/- 260 kg/m^3.

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Answer:

The GPE, stored is 640 Joules

Explanation:

The given parameters are;

The given mass of the astronaut, m = 80 kg

The height of the top of the lunar lander to which the astronaut climbs, h = 5 m

The gravity strength on the moon, g = 1.6 N/kg

The Gravitational Potential Energy, GPE, stored is given according to the following equation;

GPE stored = m·g·h

Therefore, by substituting the known values, we have;

GPE Stored = 80 kg × 1.6 N/kg × 5 m = 640 Joules

The GPE, stored = 640 Joules.

Answer:

Measurement is the assignment of a number to a characteristic of an object or event

Explanation:

Answer:

Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or event

The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.

Eukaryotic creatures known as fungi include yeasts, moulds, and mushrooms as well as other microorganisms. These creatures fall under the category of fungi. The organisms that make up the Kingdom Fungi are ubiquitous and have a cell wall. They fall under the category of heterotrophs among biological things.

Decomposition, also known as rot, is the breakdown of dead organic matter into more basic organic or inorganic elements like carbon dioxide, water, simple sugars, and mineral salts. The procedure, which is a component of the nutrient cycle, is crucial for recycling the limited amount of matter that takes up real estate in the environment. After a living thing expires, its body starts to decompose. Animals like worms also contribute to the breakdown of the organic elements. Decomposers  are organisms that carry out this process. Despite the fact that no two organisms decompose in exactly the same manner, they all go through the same sequential phases. Taphonomy, which comes from the Greek word taphos, which means tomb, is the general name for the discipline that studies decomposition.

In this question, since both fungi and bacteria are decomposers,  therefore they obtain their energy from decomposing the dead tree trunk and the fallen apples.

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Answer:

Density is defined as how tightly or loosely packed a substance is, or to the number of things or people in a certain area.

Explanation:

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