Work and Energy of a motorcycle

[Cheddar]

Homework Statement

A motorcycle (mass of cycle plus rider = 250 kg) is traveling at a steady speed of 20 m/s. The force of air resistance acting on the cycle and rider is 200 N. Find the power necessary to sustain this speed if (a) the road is level and (b) the road is sloped upward ar 37degrees with respect to the horizontal.

Homework Equations

Kinetic energy = 1/2 * m * v(squared)

The Attempt at a Solution

Using the equation above, kinetic energy = 50,000 J
Not sure where to go from here...

 

[cepheid]

Hint: If the speed is constant, what is the net force on the motorcycle?

What does this say about the relationship between the applied force (which comes from the engine) and the drag force?

What is the relationship between power, force, and velocity?