# Suppose a 925-kg car climbs a 2.05° slope at a constant speed of 30.5 m/s. Calculate the power output, in watts, needed for the car to make this climb, while encountering wind resistance and friction totaling 595 N.

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Suppose a 925-kg car climbs a 2.05° slope at a constant speed of 30.5 m/s.

Calculate the power output, in watts, needed for the car to make this climb, while encountering wind resistance and friction totaling 595 N.

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Step 1

Since, the car climbs the slope with a constant velocity, the expression for the power required is,

Step 2

Here, F is the force that is required to balance the opposing forces and v is the car’s velocity.

The forces opposing the car’s motion are the frictional force f and the sine component of the car’s weight. That is, F must be equivalent to

Step 3

Substitute the value of F i...

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