Question

Suppose instead that the amount of work done on the car by the frictional and air resistance forces as the car rolls down the hill is 50,001 J. What then is the kinetic energy of the car when it reaches the bottom of the hill?

Given:
KE: 85087.6 J
A car of mass 1000 kg is at the top of a 10 degree hill
Length: 50m

Answer 1

The kinetic energy of the car when it reaches the bottom of the hill, after 50,001 J of work is done against it by friction and air resistance, is 35,086.6 J. This is calculated by subtracting the work done from the initial kinetic energy of 85,087.6 J.

Step-by-step explanation:

To determine the kinetic energy of the car when it reaches the bottom of the hill after having 50,001 J of work done on it by frictional and air resistance forces, you have to consider the initial kinetic energy and the work-energy principle. This principle states that the work done on an object results in a change in kinetic energy. Therefore, if the car had an initial kinetic energy of 85,087.6 J and 50,001 J of work is done against it by friction and air, the kinetic energy at the bottom of the hill would be the initial kinetic energy minus the work done by these forces:

KE_final = KE_initial - Work_done_by_forces

KE_final = 85,087.6 J - 50,001 J

KE_final = 35,086.6 J

So the car would have 35,086.6 J of kinetic energy when it reaches the bottom of the hill.