A bus and a car have a same kinetic energy which one of this w/o is mo

1.	A bus and a car have a same kinetic energy which one of this w/o is moving faster Explain
Answer» Let the car have a mass m and MOVE with a velocity V. Let the bus have a mass M and move with a velocity v. Then, Momentum of the car = m V, Momentum of the bus= M v SINCE the two momenta are equal we have, mV = M v = p ( p is magnitude of momentum) Kinetic energy of the car = p²/2m,………1 Kinetic energy of the bus= p²/2M, … ….2 Comparing EQUATIONS 1 and 2, Kinetic of the car › Kinetic energy of the bus ( as the kinetic energy of the vehicle is inversely proportional to the mass of the vehicle. A lighter vehicle has larger kinetic energy. Because to have the same momentum a lighter vehicle needs to travel MUCH faster. And since Kinetic energy is proportional to square of velocity its kinetic energy is more than of the HEAVIER vehicle).

A bus and a car have a same kinetic energy which one of this w/o is moving faster Explain

Answer»

Let the car have a mass m and MOVE with a velocity V. Let the bus have a mass M and move with a velocity v. Then,

Momentum of the car = m V,

Momentum of the bus= M v

SINCE the two momenta are equal we have,

mV = M v = p ( p is magnitude of momentum)

Kinetic energy of the car = p²/2m,………1

Kinetic energy of the bus= p²/2M, … ….2

Comparing EQUATIONS 1 and 2,

Kinetic of the car › Kinetic energy of the bus ( as the kinetic energy of the vehicle is inversely proportional to the mass of the vehicle. A lighter vehicle has larger kinetic energy. Because to have the same momentum a lighter vehicle needs to travel MUCH faster. And since Kinetic energy is proportional to square of velocity its kinetic energy is more than of the HEAVIER vehicle).

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