Question

A car travels up a hill at a constant speed. The incline of the plane is constant. The power that the engine provides to the car...

A.) Stays constant as it moves up the incline

B.) Decreases as it moves up the incline

C.) Increases as it moves up the incline

D.) Is zero

Answer 1

Given, a car is travelling with constant velocity(V) up hill

inclination ? is constant

                Work done(W) = Fx

Where, F- force by engine, x- distance travelled along hill

By equating forces F = Mg sin? (as velocity is constant resultant force is zero)

Power = dW/dt

            =F dx/dt

            =FV            (dx/dt = V)

           = Mg sin? V (constant)

Therefore, power provided is constant.