A car is released from rest at an initial height. The farther down the hill the

Question

A car is released from rest at an initial height. The farther down the hill the car rolls, the faster it goes. Is there something related to its motion that can be equated to the potential energy that it loses? If so, what is the relationship between the loss of gravitational potential energy and the increasing speed of the car? ational potential energy and the increasing speed of the as below . A car is released from rest at an initial height. at different distance ollected is shown in the relationship between the velocity of the car.

Explanation / Answer

as by the law of conservation of energy

change in potential energy of the object = chenge in the kinetic enregy

in the figure depicted ,

there is a decrease in the potential energy of the object which is converted to kinetic energy . So the velocity increase

mg[h0-h] = mv2/2

the velocity doesnot depend on the mass of the object

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