Which of the following describes the mass of an object precisely ? *
2.34 kg
2.345 kg
2 kg
2.3 kg
​

The equation \(15v_{i} + 2*0 = (15 + 2)v_{f} \) (option 3) represents the horizontal momentum of a 15 kg lab cart moving with a constant velocity, v, and that continues moving after a 2 kg object is dropped into it.  

The horizontal momentum is given by:

\( p_{i} = p_{f} \)

\( m_{1}v_{1}_{i} + m_{2}v_{2}_{i} = m_{1}v_{1}_{f} + m_{2}v_{2}_{f} \)

Where:

Then, the horizontal momentum is:

\( 15v_{1}_{i} + 2*0 = 15v_{1}_{f} + 2v_{2}_{f} \)

When the object is dropped into the lab cart, the final velocity of the lab cart and the object will be the same, so:

\( 15v_{1}_{i} + 2*0 = v_{f}(15 + 2) \)

Therefore, the equation \(15v_{i} + 2*0 = (15 + 2)v_{f} \) represents the horizontal momentum (option 3).

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The energy consumption per hour of the heater is 9 kJ/hour and the energy consumption per hour of the electric motor is 3 kJ/hour.

Let's denote the energy consumption per hour of the heater as "h" and the energy consumption per hour of the electric motor as "m".

From the first piece of information, we can set up the equation:

2h + 4m = 25 (equation 1)

Similarly, from the second piece of information, we can set up another equation:

3h + 2m = 18 (equation 2)

We now have two equations with two unknowns, which we can solve using algebraic methods. Multiplying equation 2 by 2 and subtracting it from equation 1 multiplied by 3, we get:

(3h + 6m) - 2(3h + 2m) = 25(3) - 18(2)

Simplifying this expression, we get:

h = 9

Substituting this value of h into equation 2, we get:

3(9) + 2m = 18

Simplifying this expression, we get:

m = 3

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Work by gravity plus work by water equals 0 or 2692 = F *1.10 or F = 2447 Newtons

As work-energy, you could:

Since she began and concluded at rest, her initial and final K are both zero. Total work = ΔK.

Gravity: force * distance

mgΔh = 67 * 9.8 * 4.10 = 2692 Joules.

Force * Dist =- F *1.10

Work by gravity + work by water  =  0

2692 - F *1.10   = 0  

2692  =  F *1.10    

F = 2447 Newtons!

Because gravity continues to affect her even when she is submerged, take note of the total distance she travels: 3.00 + 1.10!

Work now being done by the water: Because of the force pushing up on her as she descends, the equation  is negative. Work is negative when the directions of force and distance are in opposition.

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It is easier to break rocks with a large hammer than a small one because:

Work output in physics refers to the labor performed by a simple machine, a compound machine, or any engine model. In layman's words, it is the energy output, which, for basic machines, is always smaller than the energy input, despite the fact that the forces may be very dissimilar.

As the work output and collision area of every impact is high for large hammer, it is more effective in rock breaking compare to small one.

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Answer:

Explanation:

Answer:

V orbital=GM−−−−√R is the formula for orbital speed

Explanation:

I hope this helps

The total resistance of the resistors in the circuit from the diagram is 20  Ω.

Resistance is a measure of the opposition to current flow in an electrical circuit.

To calculate the total resistance of the resistors in parallel, we use the formula below.

Note: Both resistors are connected in series.

Formula:

For series connection

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the total resistance is 20 Ω.

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Answer:

18.9 m.

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 0 m/s

Final velocity (v) = 70 km/h

Height (h) =?

Next, we shall convert 70 km/h to m/s. This can be obtained as follow:

3.6 km/h = 1 m/s

Therefore,

70 km/h = 70 km/h × 1 m/s / 3.6 km/h

70 km/h = 19.44 m/s

Finally, we shall determine the height. This can be obtained as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 19.44 m/s

Acceleration due to gravity (g) = 10 m/s²

Height (h) =?

v² = u² + 2gh

19.44² = 0² + (2 × 10 × h)

377.9136 = 0 + 20h

377.9136 = 20h

Divide both side by 20

h = 377.9136 / 20

h = 18.9 m

Thus, the car will fall from a height of 18.9 m

the angle of elevation from Phillip to the space shuttle is approximately 34.42 degrees.

We can use trigonometry to solve this problem. Let's draw a diagram to better understand the situation:

P (Phillip)

|\

| \

| \

| \ S (Space shuttle)

| \

| \

| \

| \

| \

| \

| \

------------

D (distance = 9 miles)

We want to find the angle of elevation θ, which is the angle between Phillip's line of sight and the horizontal line passing through the space shuttle. We know that the opposite side is the height of the space shuttle, which is 5.9 miles, and the adjacent side is the distance between Phillip and the space shuttle, which is 9 miles.

Therefore, we can use the tangent function:

tan(θ) = opposite/adjacent

tan(θ) = 5.9/9

θ = tan⁻¹(5.9/9)

θ ≈ 34.42 degrees

So the angle of elevation from Phillip to the space shuttle is approximately 34.42 degrees.

the angle of elevation is the angle formed between the horizontal and the line of sight from the observer (in this case, Phillip) to an object (in this case, the space shuttle). It is important to note that the observer, the object, and the point of reference (in this case, the horizontal) must form a right triangle.

In this problem, we used the tangent function to find the angle of elevation. The tangent function relates the opposite and adjacent sides of a right triangle to the angle opposite the opposite side.

In this case, we used the tangent function because we were given the opposite side (the height of the space shuttle) and the adjacent side (the distance between Phillip and the space shuttle).

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According to the idea that early galaxies grew from the repeated mergers of smaller gas clouds, the properties of galaxies must have changed over time. The properties of galaxies that could have changed over time  to the  include size, mass, luminosity, and metallicity.

As gas clouds merge, they add to the overall mass of the galaxy, which can lead to an increase in size. Additionally, the increased mass can lead to an increase in luminosity, as there are more stars being formed. However, the metallicity of the galaxy may decrease over time, as smaller gas clouds tend to have lower metallicities than larger gas clouds. This means that as the smaller gas clouds merge and contribute to the overall metallicity of the galaxy, the average metallicity may decrease.

 As smaller gas clouds merge, more stars are formed, causing the overall stellar mass of the galaxy to increase. As the available gas in the galaxies is used up over time to form stars, the star formation rate decreases. As stars evolve and die, they produce and release metals into the interstellar medium, which in turn increases the metallicity of the galaxy. The repeated mergers of smaller gas clouds cause galaxies to grow in size as they accumulate more mass and stars.  the properties of galaxies change over time due to repeated mergers of smaller gas clouds: stellar mass and metallicity increase, while star formation rate decreases, and the size of galaxies increases.

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Using 3rd equation of kinematics

\(\\ \rm\longmapsto v^2-u^2=2as\)

\(\\ \rm\longmapsto s=\dfrac{v^2-u^2}{2a}\)

\(\\ \rm\longmapsto s=\dfrac{30^2-15^2}{2(5)}\)

\(\\ \rm\longmapsto s=\dfrac{900-225}{10}\)

\(\\ \rm\longmapsto s=\dfrac{675}{10}\)

\(\\ \rm\longmapsto s=67.5m\)

When the fighter plane opens the fire, its momentum will be in backward direction and its speed decreases.When pursued plan opens fire in backward direction.then the momentum of plane will be in forward direction and its speed increases.

Answer:

uhh

Explanation:

Newton's first and second laws of motion both do, but I think the one you're looking for is: The First Law of Motion.  That description is a little more direct.

It says that if an object is not acted on by a net external force, then it continues in "constant, uniform motion".

Answer:

Steps to create a new solar system:

1. Cloud Collapse

2. Protostar Formation

3. Disk Formation

4. Formation of Planets

5. Moon formation

6. Asteroids and comets

7. Exoplanet

Cloud collapse: A large cloud of gas and dust collapses under its gravity.

Protostar formation: The center of the cloud heats up and begins to glow, forming a protostar.

Disk formation: The remaining gas and dust in the cloud flatten into a disk around the protostar.

Planet formation: Small particles in the disk collide and merge to form larger and larger bodies, eventually forming planets.

Moon formation: Planets can also form moons, which are thought to be formed when a large object collides with a planet and ejects material into orbit around it.

Asteroids and comets: The remaining material in the disk forms asteroids and comets.

Exoplanets: Exoplanets, or planets that orbit stars other than the Sun, can also form.

The formation of a solar system is a long and complex process that can take millions or even billions of years.

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The temperature in a classroom is usually around room temperature, which typically ranges from 68-72°F (20-22°C). This means that the temperature is closest to 50°C.

Temperature is a measure of the average kinetic energy of the particles in a system. It is a physical quantity that indicates how hot or cold something is. Temperature is typically measured in units of degrees Celsius (°C) or kelvin (K). Temperature can be affected by many environmental factors, such as air pressure, radiation levels, humidity, and altitude. Heat and cold are also related to temperature, with heat being the result of increased temperature and cold being the result of decreased temperature. Temperature affects many physical and chemical processes, and is an important factor to consider when studying the behavior of matter.

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Answer:

Here's what I get  

Explanation:

When two waves meet, they interfere with each other.

1. Constructive interference

If the crests of the waves happen to line up, as in Fig. 1,  the amplitudes add up.

The crests become twice as high. The troughs also line up, so they become twice as deep.

We call this constructive interference.

2. Destructive interference

If the trough of one wave meets the crest of another, as in Fig. 2, the opposite happens.

The trough of one wave subtracts from the crest of the other, so the two waves cancel.

We call this effect destructive interference.

Part A

The sound generated moves back and forth in simple harmonic motion. The formula for calculating maximum speed, vmax is expressed as

vmax = wA

where

w is the angular velocity

A is the amplitude

Recall,

w = 2 x pi x frequency

Thus,

vmax = 2 x pi x frequency x amplitude

From the information given,

frequency = 1.6KHz

We would convert from KHz to Hz

Recall,

1 KHz = 1 x 10^3 Hz

1.6 KHz = 1.6 x 10^3 Hz

amplitude = 2.5 μm

we would convert μm to m

Recall,

1 μm = 1 x 10^-6 m

2.5 μm = 2.5 x 10^-6 m

pi = 3.14

By substituting these values into the formula, we have

vmax = 2 x 3.14 x 1.6 x 10^3 x 2.5 x 10^-6

vmax = 0.025 m/s

Part B

The formula for calculating maximum acceleration, Amax is

Amax = w^2A

where

a = amplitude

Amax = (2 x pi x frequency)^2A

Amax = (2 x 3.14 x 1.6 x 10^3)^2 x 2.5 x 10^-6

Amax = 252.4 m/s^2

The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

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1) Determine the mass of the expelled CO2, 2) Calculate the acceleration of the CO2 using Newton's second law, and 3) Multiply the mass by the acceleration to obtain the force exerted by the CO2 on the system.

Newton's second law states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. To apply this principle to predict the force exerted by expelled CO2 on a system, the following steps can be followed:

Determine the mass of the expelled CO2: This can be achieved by measuring the mass of the CO2 or using known properties such as the molar mass of CO2 and the quantity of CO2 expelled.

Calculate the acceleration of the CO2: The acceleration can be determined by considering the forces acting on the CO2. In this case, the main force acting on the CO2 would be the expulsion force. Other factors such as air resistance can be taken into account if necessary.

Multiply the mass by the acceleration: Once the mass and acceleration are determined, multiply them together to obtain the force exerted by the CO2 on the system. The unit of force is typically Newtons (N).

By following this method and applying Newton's second law, it is possible to predict the force exerted by the expelled CO2 on the system. It is important to ensure accurate measurements and consider all relevant forces to obtain a reliable prediction.

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The peak value of the magnetic field from the sun's radiant energy is approximately 1.68 x 10^(-5) Tesla (T).

To determine the peak value of the magnetic field from the given intensity of the plane electromagnetic waves, we can use the relationship between intensity (I) and the peak values of the electric field (E) and magnetic field (B):

I = 0.5 * ε₀ * c * E₀^2

where I is the intensity, ε₀ is the vacuum permittivity (approximately 8.85 x 10^(-12) F/m), c is the speed of light (approximately 3 x 10^8 m/s), and E₀ is the peak value of the electric field.

Since the electromagnetic waves consist of both electric and magnetic fields, the relationship between the peak values of the electric field (E₀) and the magnetic field (B₀) is given by:

E₀ = c * B₀We can rearrange the equation for intensity to solve for E₀:

E₀ = sqrt(2 * I / (ε₀ * c))

Now, let's substitute the given intensity into the equation:

E₀ = sqrt(2 * 1330 W/m² / (8.85 x 10^(-12) F/m * 3 x 10^8 m/s))

Simplifying the expression, we have:

E₀ = sqrt(7.5492 x 10^19 V²/m²)

Finally, since E₀ = c * B₀, we can find the peak value of the magnetic field (B₀) by dividing E₀ by the speed of light (c):

B₀ = E₀ / c

Substituting the values, we get:

B₀ = sqrt(7.5492 x 10^19 V²/m²) / (3 x 10^8 m/s)

Evaluating this expression, we find:

B₀ ≈ 1.68 x 10^(-5) T

Therefore, the peak value of the magnetic field from the sun's radiant energy is approximately 1.68 x 10^(-5) Tesla (T).

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The net force on the object is 70 N to the right.

The formula to calculate net force is Net Force = ΣF = F1 + F2 + F3 + ... Fn, where ΣF is the sum of all forces acting on an object.

Balanced forces are forces that cancel each other out and do not cause a change in the object's motion, while unbalanced forces are forces that result in a change in the object's motion.

To find the net force, we need to add the individual forces together:

Net force = 25 N + 10 N + 25 N + 10 N

Net force = 70 N

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Answer:

The parallel-plate capacitor with plate area 4.0 cm2 and air-gap separation 0.50 mm is connected to a 12-V battery, and fully charged. The battery is then disconnected.

Explanation:

The capacitance of a parallel-plate capacitor is given by the following equation:

C = \epsilon_0 \frac{A}{d}

C = 8.854 × 10^{-12} F/m \cdot \frac{4.0 × 10^{-4} m^2}{0.50 × 10^{-3} m} = 3.54 × 10^{-10} F

C = 8.854 × 10^{-12} F/m \cdot \frac{4.0 × 10^{-4} m^2}{0.50 × 10^{-3} m} = 3.54 × 10^{-10} F

Q = CV = 3.54 × 10^{-10} F \cdot 12 V = 4.24 × 10^{-9} C

The voltage of the battery is 12 V and the distance between the plates is 0.50 mm. Therefore, the electric field between the plates is:

U = \frac{1}{2} CV^2 = \frac{1}{2} \cdot 3.54 × 10^{-10} F \cdot (12 V)^2 = 2.59 × 10^{-9} J

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The neutron number can be calculated by subtracting the atomic number from the mass number. In this case, 54 - 23 = 31. Therefore, the neutron number is 31.
To determine the element identity, we need to find the element with a mass number of 54 and a proton number of 23. This can be done by looking at the periodic table. Based on these numbers, we know that the element has 23 protons, which places it in the 23rd position on the periodic table. The element with the atomic number 23 is vanadium (V). Therefore, the element identity is vanadium (V).
In summary, for an element with a mass number of 54 and a proton number of 23, the neutron number is 31 and the element identity is vanadium (V).
To determine the neutron number and element identity, you can use the given mass number (A) and proton number (Z).
1. Neutron number:
Neutron number = Mass number (A) - Proton number (Z)
Neutron number = 54 - 23
Neutron number = 31
2. Element identity:
Since the proton number (Z) is also the atomic number, you can use it to identify the element. With an atomic number of 23, the element is Vanadium (V).
In summary, for the element X with mass number 54 and proton number 23, the neutron number is 31, and the element is Vanadium (V).

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After considering the given data the height from which the gannet dived is approximately 51.84 m.

To evaluate the height from which a gannet dived if it hits the water at 32 m/s, assuming that the gannet was motionless before starting its dive, we can apply the law of conservation of energy, which projects  that the initial potential energy of the gannet is equivalent to its final kinetic energy prior to hitting the water. Then, we can write:
\(mgh = (1/2)mv^2\)
Here:
m = mass of the gannet
g = acceleration due to gravity
h = height from which the gannet dived
v = velocity of the gannet just before hitting the water
Considering that the mass of the gannet is 1 kg, and applying substitution of the given values, we get:
\((1 kg)(9.8 m/s^2)(h) = (1/2)(1 kg)(32 m/s)^2\)
\(h = (1/2)(32 m/s)^2 / (9.8 m/s^2)\)
h = 51.84 m
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The complete question is
A gannet is a seabird that fishes by diving from a great height. If a gannet hits the water at 32 m/s , what height did it dive from? Assume that the gannet was motionless before starting its dive.

A foodservice operation typically has 48 hours to correct a violation of a priority item.

Foodservice operations are subject to regular inspections by health departments to ensure that they comply with food safety regulations. Priority items refer to violations that are most likely to contribute to foodborne illness or injury if not addressed immediately.

Priority items include, but are not limited to, issues related to food temperature control, inadequate cooking, poor hygiene practices, and contaminated food contact surfaces. When a priority item violation is identified during an inspection, the foodservice operation is typically given 48 hours to correct the issue.

The exact timeline for correction may vary depending on the severity of the violation and the specific requirements of the local health department. Failure to correct priority item violations within the specified timeframe can result in fines, closure of the foodservice operation, or legal action.

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The total magnetic field at the center point between the two squares is \(2 *10^{(-4)}\) Tesla.

Let's assume the current passing through each square of wire is I = 15 mA = \(15 *10^{(-3)} A\).

The magnetic field produced by a square wire at its center can be calculated using the formula for the magnetic field of a long straight wire:

B = (μ₀ * I) / (2 * π * r)

Where:

B is the magnetic field

μ₀ is the permeability of free space\((4\pi × 10^{(-7)} T.m/A)\)

I is the current

r is the distance from the wire

For each square wire, the distance from its center to the center point between the two squares is 1.5 cm = 0.015 m.

Calculating the magnetic field produced by each square wire:

B1 =\((4\pi * 10^{(-7)} T.m/A * 15 * 10^{(-3)} A) / (2 *\pi * 0.015 m)\)

B1 =\(10^{(-4)} T\)

Since the current passes through both squares in a counterclockwise direction, the magnetic fields produced by both squares will have the same magnitude and direction.

Therefore, the total magnetic field at the center point between the two squares is:

B_total = B1 + B1

B_total =\(2 * 10^{(-4)} T\)

B_total = \(2 *10^{(-4)} T\)

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--The complete Question is, Two squares of wire, each with a side length of 4 cm, are placed side by side on a table with a distance of 3 cm between the closest sides of the two squares. A 15 mA current passes counterclockwise through both squares. What is the total magnetic field at the center point between the two squares?--