what is the acceleration two point on a velocity time graph which has coordinate (10sec,15ms)and (20sec,35ms)​

Answer:

the second option

Explanation:

an object vibrating at a second objects natural frequency forces the second object to vibrate

The x-component of the acceleration of the box is given by the product of the acceleration a and the cosine of the angle theta between the force and the x-axis.

The x-component of the acceleration of the box can be found using the following formula:

a_x = F_x / m

Since the force is acting at an angle, we need to first find the x-component of the force, which can be calculated using:

F_x = F × cos(theta)

Assuming that the force F is the net force acting on the box and there are no other forces acting on it, we can use Newton's second law to find the magnitude of the force:

F = ma

where F is the net force, m is the mass of the box, and a is the acceleration of the box.

Therefore, the x-component of the acceleration of the box can be calculated as:

a_x = F_x / m

= (F × cos(theta)) / m

= [(ma) × cos(theta)] / m

= a × cos(theta)

where we have substituted the expression for the magnitude of the force from Newton's second law.

So, the x-component of the acceleration of the box is given by the product of the acceleration a and the cosine of the angle theta between the force and the x-axis.

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According to the question the voltage of the battery is 400 volts.

Voltage is an electrical potential difference between two points in a circuit, measured in volts. It is the energy that powers electric current and is the result of the flow of electrons through a circuit. Voltage is also referred to as electromotive force (EMF) or electric tension.

The voltage of the battery can be calculated using Ohm's Law, which states that voltage (V) is equal to current (I) multiplied by resistance (R). We can rearrange this equation to solve for voltage: V = I × R.

In this circuit, we know the resistance (R) of the bulb is 150 ohms, and the power dissipated by the bulb (P) is 0.4 watts. We can calculate the current (I) by rearranging the equation for power, which states that power (P) is equal to current (I) multiplied by voltage (V): P = I × V. Rearranging this equation to solve for current: I = P/V.

We can plug in the values for power and resistance to calculate the current: I = 0.4 W/150 ohms = 2.67 A.

Finally, we can plug the current (I) and resistance (R) into our equation for voltage: V = I × R = 2.67 A × 150 ohms = 400 V. Therefore, the voltage of the battery is 400 volts.

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(a) Image formed by the left lens is 133.33 mm to the right of the lens. (b) image formed by both lenses is 200 mm to the left of the right lens. (c) real (d) inverted (e) larger.

(a) To find the image formed by the left lens, we can use the three principal rays. The first principal ray passes through the center of the lens and goes straight through, unaffected by the lens. The second principal ray passes through the lens and goes through the focal point on the right side of the lens. The third principal ray passes through the top of the object and also goes through the focal point on the right side of the lens.

After passing through the lens, the two latter rays will converge at a point on the right side of the lens. This point is the image formed by the left lens. To find the location and size of the image, we can use the lens equation:

1/f = 1/do + 1/di,

here,

f is focal length,

do is object distance,

di is image distance.

In this case, f = 100 mm, do = 230 mm, and we are trying to find di.

Reserving values into equation:-

1/100 = 1/230 + 1/di

1/di = 1/100 - 1/230

di = 230 * 100 / (230 + 100)

= 133.33 mm

Hence, the image formed by the left lens is 133.33 mm to the right of the lens and is virtual, erect, and smaller than the object.

(b) To find the image formed by the right lens, we can use the three principal rays that are formed after passing through the image formed by the left lens. The first principal ray passes straight through the center of the right lens, unaffected by the lens. The second principal ray passes through the top of the image and goes through the focal point on the left side of the right lens. The third principal ray passes through the bottom of the image and also goes through the focal point on the left side of the right lens. After passing through the right lens, the two latter rays will converge at a point on the left side of the right lens. This point is the final image formed by both lenses. To find the location and size of the final image, we can use the lens equation again:

1/f = 1/do + 1/di,

here,

f is focal length,

do is object distance,

di is image distance.

In this case, f = 100 mm, do = 133.33 mm (the distance to the image formed by the left lens), and we are trying to find di.

Reserving values into equ.:-

1/100 = 1/133.33 + 1/di

1/di = 1/100 - 1/133.33

di = 133.33 * 100 / (133.33 + 100) = 200 mm

So, the final image formed by both lenses is 200 mm to the left of the right lens and is real, inverted, and larger than the object.

(c) Image will be real.

(d) Image will be inverted.

(e) Image will be larger than the object.

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The Earth's angular velocity for its daily rotation on its axis is in the counterclockwise direction (eastward).

The Earth's angular velocity for its daily rotation on its axis is in the eastward direction. From above, this movement would look like the Earth is moving counterclockwise. This means that the Earth rotates from west to east, causing the sun to appear to rise in the east and set in the west. This is also why time zones are arranged with earlier times to the east and later times to the west. The Earth's rotation on its axis is what causes the cycle of day and night.

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Answer:

Sarah can travel 80 km in 4 hours at a constant speed of 20 km/h.

Explanation:

The distance that Sarah can travel in 4 hours can be calculated by multiplying her speed (20 km/h) by the time (4 hours):

distance = speed x time

distance = 20 km/h x 4 hours = 80 km

Answer:

80 km

Explanation:

Speed = Distance / Time
20 = Distance / 4
Distance = Speed x Time
Distance = 20 x 4
Distance = 80 km

Hope it helps

Chemical potential energy is decreased, electric energy is increased and thermal energy is increased. All the above is correct.

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0.68 m/s² is the magnitude of the acceleration of a skydiver who is currently falling at one-half his eventual terminal speed.

The terminal speed of a skydiver is the maximum velocity that the skydiver reaches in freefall, where the net force acting on the skydiver is equal to zero. The terminal speed is determined by the balance between the gravitational force acting on the skydiver and the air resistance force acting on the skydiver. The acceleration of a skydiver who is currently falling at one-half his eventual terminal speed can be calculated using the equation for the net force acting on the skydiver:

[tex]F net = ma[/tex],

here,

m is mass of the skydiver,

a is acceleration.

Since, the net force is equal to zero at terminal speed, we can calculate the air resistance force at one-half the terminal speed and equate it to the gravitational force to find the acceleration. The air resistance force is proportional to the square of the velocity, so at one-half the terminal speed, the air resistance force is proportional to one-fourth of the terminal speed squared.

Let's call the terminal speed Vt and the skydiver's velocity at one-half the terminal speed V/2:-

[tex]F gravity = m * g[/tex],

here, g is acceleration due gravity (9.8 m/s^2).

[tex]F air = -k * V^2[/tex],

here, k constant that depends on the skydiver's body shape, size, and surface area.

At terminal speed, net force is zero:-

[tex]m * g = -k * Vt^2[/tex]

At one-half the terminal speed, the air resistance force is proportional to one-fourth of the terminal speed squared:-

[tex]F air = -(k/4) * Vt^2 = -(k/4) * (V/2)^2[/tex]

The gravitational force is unchanged:-

[tex]F net = m * g + Fair[/tex]

Reversing in the values:-

[tex]m * g = m * g + (-k/4) * (V/2)^2[/tex]

Rearranging the eq.:

[tex](k/4) * (V/2)^2 = m * g[/tex]

Dividing both sides by m:-

[tex](k/4) * (V/2)^2 / m = g[/tex]

[tex](V/2) / \sqrt{((k/4) / m)} = \sqrt{(g)}[/tex]

Finally, dividing both sides by (V/2):-

[tex]a = \sqrt{(g)} / \sqrt{ ((k/4) / m)}[/tex]

Note that the constant k is difficult to calculate exactly, as it depends on many factors such as the skydiver's body shape, size, and surface area, as well as the air density and altitude. However, we can use an estimated value of k to find an approximate value for the acceleration. For example, a common value used for k is 0.75, so if we use this value, we get:

[tex]a = \sqrt{(9.8 m/s^2)} / \sqrt{((0.75/4) / m)} = 0.677 = 0.68 m/s^2[/tex].

Hence, the magnitude of the acceleration of a skydiver who is currently falling at one-half his 0.68 m/s².

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The magnitude of the electrostatic force that charge A exerts on charge B is [tex]2.7 x 10^24 N.[/tex]

The electrostatic force between two point charges is given by Coulomb's law:

[tex]F = (k * q1 * q2) / r^2[/tex]

where F is the electrostatic force, q1 and q2 are the charges, r is the distance between them, and k is Coulomb's constant, which is approximately equal to [tex]9 x 10^9 N·m^2/C^2.[/tex]

Substituting the given values, we get:

[tex]F = (9 x 10^9 N·m^2/C^2) * (13.0 x 10^27 C) * (14.0 x 10^27 C) / (2.0 x 10^22 m)^2[/tex]

Simplifying the expression, we get:

[tex]F = 2.7 x 10^24 N[/tex]

Therefore, the magnitude of the electrostatic force that charge A exerts on charge B is [tex]2.7 x 10^24 N.[/tex]

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Here, the frequency of the swinging is 0.05 Hz and the length of the rope through the which the oscillatory wave is travelling is 99.3 meters.

Frequency of an oscillation is the number of wave cycles per unit time. It is the inverse of time period. As the length of the pendulum increases, the frequency of oscillation decreases. Therefore, the shorter pendulum will have greater frequency.

Given time period of pendulum =20 s.

then length of pendulum L = T²/4π² g.

l = 20²/4×π² × 9.8 m/s² = 99.3 m.

Frequency of the oscillation is the inverse of its time period. Hence, the frequency of the pendulum for a time period of 8 Hz is :

1/20 = 0.05 Hz.

Therefore, the length of the rope is 99.3 m and the frequency of the oscillation is 0.05 Hz.

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Velocity is a physical quantity that describes the rate at which an object changes its position with respect to time. It is a vector quantity, which means that it has both a magnitude and a direction.

From the given information, we know that the motorboat's initial velocity is 40 ft/s and its final velocity after the motor quits is 20 ft/s. We also know that the boat experiences resistance that is proportional to its velocity. This can be modeled using the differential equation:

dv/dt = -kv

where v is the velocity of the boat and k is the constant of proportionality. To solve for k, we can use the initial and final velocities of the boat:

When t = 0, v = 40 ft/s

When t = 10 s, v = 20 ft/s

Integrating the differential equation, we get:

∫ dv/v = ∫ -k dt

ln|v| = -kt + C

where C is the constant of integration.

Applying the initial condition v(0) = 40, we get:

ln|40| = C

C = ln|40|

Substituting this value into the equation, we get:

ln|v| = -kt + ln|40|

ln|v| = ln|40| - kt

Taking the exponential of both sides, we get:

|v| = e^(ln|40| - kt)

|v| = 40e^(-kt)

Applying the final condition v(10) = 20, we get:

|20| = 40e^(-k*10)

1/2 = e^(-10k)

Taking the natural logarithm of both sides, we get:

ln(1/2) = -10k

k = -ln(1/2)/10

k ≈ 0.0693

Therefore, the constant of proportionality is k ≈ 0.0693. The velocity of the motorboat at time t is given by:

v(t) = 40e^(-0.0693t)

where v is in ft/s and t is in seconds.

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Answer:

86400 seconds is equal to 1 day.

Explanation:

The two factors that determine gravitational attraction are mass and distance.

Gravitational force is the force of attraction between two objects that is directly related to their mass and the distance between them. It is one of the four fundamental forces of nature, along with the electromagnetic force, weak nuclear force, and strong nuclear force. The gravitational force is responsible for keeping planets in orbit around the sun, for holding the Earth and moon in their respective orbits, and for keeping the moon spinning on its axis.

The gravitational force between two objects is determined by the product of their masses and the inverse square of their distance. This can be expressed mathematically as: F = G (m1m2) / d², where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them. As the distance between two objects increases, the force of gravitational attraction between them decreases.

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The resistance of another wire of same material that has the same length but double the diameter will have a resistance one fourth of R.

There is a wire that has a resistance R.

Now there is another wire that has the same material and the same length also but the diameter of that wire is double of the first wire.

We know that the resistance of a material is given by the formula,

R = 4pL/πD²

Where R is the resistance of the material, p is the resistivity, L is the length and D is the diameter of the wire.

If the above mentioned resistance is the resistance of the first wire then the resistance of the second wire of double diameter will be given by,

R' = 4pL/π(2D)²

Now, putting R = 4pL/πD²

R' = R/4.

So, the resistance of the another wire will be one fourth of R.

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During the phase of full moon, the phase you would see for Earth would be a new moon. This is because during a full moon, the Moon is on the opposite side of the Earth from the Sun, so the side of the Moon that is facing the Earth is fully illuminated by the Sun.

When the Moon is positioned so that it is on the other side of the Earth from the Sun, it enters the full moon phase. This indicates that the Moon's side facing Earth is entirely lighted by the Sun, giving it the appearance of a brilliant, rounded disk in the sky.

The lunar cycle's brightest and most noticeable phase, the full moon, usually lasts for one or two nights. The Moon looks to be brightest and fullest at this moment, giving the ground below a dazzling glow.

In many cultures, the full moon is a significant cultural emblem and is frequently linked to mystical or spiritual significance. Additionally, it has been the focus of various scientific studies, including research into its effects on human.

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A spring whose equilibrium length is 6 m is compressed to a length of 1/2 m when a force of 15 n is applied. 187.5 mJ is the work done by the spring force while it is compressed to a length of 5 m.

compression in spring  x = 5m.

spring constant = 15 n/m

Magnitude of work done = Potential energy stored in spring                              W = 1/2 kx²                                  

   = 1/2 × 15 × 5 × 5                                  

   = 187.5 mJ

The spring's natural length is its length without any mass attached. We suppose that the spring obeys Hooke's law: if the spring's length is modified by an amount L from its natural length, the spring produces a force

Fs = kL,

where,

k is a positive quantity known as the spring constant.

F = -kx.

The spring constant is the proportional constant k. It is a measure of the stiffness of the spring. When a spring is stretched or compressed by an amount x from its equilibrium length, it produces a force F = -kx in the direction of its equilibrium position.

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The definition of frequency, expressed in hertz, is the number of oscillations of a wave per unit of time (Hz). The relationship between frequency and pitch is straightforward. Frequencies between 20 and 20000 Hz are audible to humans.

The number of wave cycles or revolutions per second is known as frequency. The following is the frequency-based formula for period (T): If wavelength and velocity are taken into account for any wave, the Frequency Formula is expressed as. f = v λ

he relationship between these two factors is justified by the fact that the speed at which a wave travels is equal to the product of its frequency and wavelength.

V=fλ

f represent frequency

V= speed

λ = wavelength

by using this formula

λ = v/ f = 2nm

Therefore, 2nm is the wavelength of the wave.

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The energy of the sun originally came from the gravitational collapse of a nebula.

A nebula is a massive cloud of gas and dust known. When it gravitationally collapses, it causes the materials within it to heat up and, eventually, form a protostar. This protostar will continue to heat up and increase in pressure until nuclear fusion began in its core. This fusion of hydrogen atoms into helium releases a tremendous amount of energy, which is what powers the sun and gives it its heat and light.

So, the answer is the energy of the sun originally come from the collapse of a nebula.

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Unlocked position. The cam is used to lock the conductor in place, so the locking ring needs to be in the unlocked position in order for the conductor to be passed through the grip head.

A conductor is a person or object that allows the flow of electric current or heat. In electrical systems, a conductor provides a path for the electric current to flow from the power source to the device being powered. In heating systems, a conductor carries the heat from the source to the device or area that needs to be heated. Conductors are typically made of metal, such as copper, aluminum, and silver, as these materials have a higher electrical conductivity than most other materials.

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When a person is standing on a scale, the magnitude of what force is displayed by the scale, The correct option is (d) The normal force of the scale acting on the person.

When a person stands on a scale, the scale displays the magnitude of the normal force that it exerts on the person. This force is known as the "normal force" because it is perpendicular to the surface of the scale and opposes the force of gravity pulling the person down. In this case, the normal force is equal in magnitude to the weight of the person, which is the force of gravity acting on their mass.

In this scenario, the person is not accelerating (since they are standing still), so the net force on them is zero. The normal force of the scale acting on the person balances the force of gravity pulling them down, so the net force is zero. Therefore, the force displayed on the scale is the normal force, which is equal in magnitude to the weight of the person.

Option (a) is incorrect because the acceleration of the person is not relevant in this scenario, as they are not accelerating.

Option (b) is also incorrect because it suggests that the force displayed on the scale is the force of the scale acting on the person minus some other force, which is not accurate.

Option (c) is partially correct in that it refers to the person's weight, but it does not explicitly state that the scale is displaying the normal force acting on the person.

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Well, you didn't tell us what the unit of the 53.14 is.  But whatever it is, the force of friction is the same 53.14 of them.

The only way the box can move with constant velocity is if the forces acting on it all add up to zero. So the force of friction to the left, holding it back, must be exactly equal to the force pushng it forward to the right.

Notice that none of this depends on the mass of the box, or WHAT the constant velocity IS.  None of that information matters, or makes any difference. It's only included in the question to confuse and distract us.  

An object that is travelling to the right would accelerate in the same direction as its motion, which would be to the right. This is so because acceleration, which encompasses both speed and direction of motion, is the rate at which velocity changes.

If an object is going to the right and then accelerates, the acceleration would also be moving to the right, following the motion. This is so because acceleration, which encompasses both speed and direction of motion, is the rate at which velocity changes. While the item in this instance is moving faster, its velocity is rising in the same direction as its motion, and consequently, the acceleration is likewise moving faster. The other possible solutions don't work in this case.The rate at which velocity changes is known as the acceleration, which is a vector quantity. The speed and direction of motion of an object are described by a vector called velocity.

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False. The unit used to measure the energy contained in natural gas is typically joules or cubic meters (m^3) of natural gas. The term "therm" is sometimes used as a unit of energy, but it is more commonly used to describe the amount of energy contained in 100,000 British thermal units (BTUs). In the United States, the therm is sometimes used to describe the amount of energy contained in 100 cubic feet of natural gas.

Using an electric kettle, 200 g of water at 100 is converted into steam at 100 in 300 seconds, so the specific latent heat of steam is 2250 j/g, and here the average of the electrical power used by the kettle is 1500 W.

The amount of heat required to convert 200 g of water at 100 °C to steam at 100 °C is explain below,

Q = m × L (m = mass of water; L = specific latent heat of steam)

Q = 200g × 2250 J/g = 450000 J

The time to convert the water into steam = 300 seconds, thus the average power used is:

P = Q/t = 450000 J/300 s = 1500 W

Hence, here the average of the electrical power used by the kettle with  200g of water is 1500 W.

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The difference between the wattage stated on an appliance and the meter reading from your experiment could be due to inaccuracies in the appliance wattage rating, variability in power consumption, meter accuracy, or additional power consumption beyond the stated wattage.

There are a few reasons why the wattage stated on an appliance may not match the meter reading from your experiment:

Inaccuracy of the appliance wattage rating: The wattage stated on the appliance may not be accurate. This could be due to manufacturing tolerances or errors in the testing process. The actual wattage consumed by the appliance may be higher or lower than the stated rating.

Variability in power consumption: The power consumption of an appliance can vary depending on its usage. For example, a microwave may consume more power when heating food for a longer period of time compared to when it is heating for a shorter time. The wattage stated on the appliance may be an average value, while the meter reading may reflect the actual power consumed during your experiment.

Meter accuracy: The meter used in your experiment may not be accurate. Meters can have errors due to various factors such as age, calibration, or environmental conditions. This could lead to a difference in the reading compared to the wattage stated on the appliance.

Additional power consumption: Appliances may consume additional power beyond their stated wattage due to factors such as power surges, power factor correction, or standby power consumption. These additional factors may not be accounted for in the stated wattage, leading to a difference in the meter reading.

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Option B is correct.

Kinetic energy is the energy that a body possesses as a result of its movement. Potential energy is the energy that a body possesses as a result of its location or state.

While an object's kinetic energy is relevant to the state of other items in its environment, potential energy is fully independent of its surroundings. As a result, the acceleration of an item is not visible in the movement of a single object when other objects in the same environment are also moving.

Here potential energy is being used so work done will be mgh

Where,

M = mass

G = acceleration due to gravity

H = height

Since there is no change in kinetic energy,

So,

W1/W2 = mgh1/mgh2

Now, here mass and acceleration due to gravity are the same

Therefore,

W1/W2 = h1/h2

W2 = 0.5 × 146000J = 73000J

Therefore, the work done to lift the block halfway to the top is 73,000 joules.  

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The momentum is the product of mass and velocity of an object. The momentum of object A is greater than object B.

The momentum is the product of mass and velocity of an object. Momentum is a vector quantity, possessing a magnitude as well as a direction. If 'm' is an object's mass and 'v' is the velocity, then the object's momentum p is:

p = mv

Momentum of Car A, p = mv

m = 1200 kg,

v = (80 × 1000)/ (60 × 60) = 22.22 m/s

p = mv

p = 1200 × 22.22 = 26664 kg.m/s

Momentum of Car B, p = mv

m = 2400 kg,

v = (20 × 1000)/ (60 × 60) = 5.55 m/s

p = mv

p = 2400 × 5.55 = 13333.33 kg.m/s

Therefore, the momentum of Car A is greater than car B.

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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

What is luminosity?
Luminosity is a measure of the amount of energy that is emitted by a star or other celestial object, usually measured in terms of its brightness. It is related to the star's surface area and temperature, as well as its distance from the observer. Luminosity is an important factor in determining the evolution of a star and its eventual fate.

Therefore, Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

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The two automobiles center's of mass are moving at a 19.79 m/s speed. Calculate the system's total mass and canter of mass velocity to get the velocity of the system's center of mass for the two automobiles.

The weighted average of the velocities of each individual object, multiplied by their mass, equals the velocity of the canter of mass.

Let's refer to the center of mass's velocity as V cm. Then:

V cm is equal to (mass of Chrysler times its velocity plus mass of Ford times its velocity) / (total mass of system)

The speeds must first be changed from km/h to m/s:

Chrysler's speed is 81 km/h, or 81 * 1000 / 3600 m/s, or 20.83 m/s.

Ford's speed of 52 km/h is equal to 52 * 1000 / 3600 m/s, or 18.06 m/s.

Then, we may determine the system's overall mass and center-of-mass velocity:

Overall mass equals the sum of the masses of Chrysler and Ford, or 2650 kg plus 1550 kg, totaling 4200 kg.

V cm is equal to (mass of Chrysler times its velocity plus mass of Ford times its velocity) / total mass.

V cm is calculated as (2650 kg at 20.83 m/s and 1550 kg at 18.06 m/s) / 4050 kg.

V cm is equal to 4200 kg / (55,051.5 kg m/s + 25,244 kg m/s).

V cm = 4200 kg / 80,295.5 kg / 19.79 m/s

Hence, the two automobiles  center's of mass are moving at a velocity of 19.79 m/s.

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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

Luminosity is a measure of the total amount of energy a star emits in a given amount of time. Apparent brightness, on the other hand, is the amount of light that reaches us from a star and is influenced by the star's distance from us, as well as its luminosity.

When two stars have the same luminosity, their apparent brightness will be determined by their distance from us. If star Y is four times dimmer looking than star X on relatively unobscured sightlines, it means that star Y must be farther away from us. This is because the amount of light we receive from a star decreases with increasing distance.

Luminosity: The total amount of energy a star emits.

Apparent brightness: The amount of light that reaches us from a star.

Two stars with the same luminosity: apparent brightness determined by distance from us

Star Y three times dimmer: Farther away from us. Apparent brightness decreases with increasing distance.

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