Work and Energy of a motorcycle

AI Thread Summary
To sustain a steady speed of 20 m/s, the motorcycle must overcome the air resistance of 200 N, indicating that the applied force from the engine must equal this drag force. The kinetic energy of the motorcycle is calculated to be 50,000 J. When the road is level, the power required can be determined using the relationship between power, force, and velocity. On an upward slope of 37 degrees, additional power is needed to counteract gravitational forces. Understanding these dynamics is crucial for calculating the power requirements in different scenarios.
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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...
 
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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?
 

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