Work From Electric Force Video Lessons

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Problem: A battery-operated car utilizes a 120.0 V source.Find the charge the batteries must be able to move in order to accelerate the 720 kg car from rest to 25 m/s, make it climb a 1.85 x 102 m high hill, and then cause it to travel at a constant 25 m/s by exerting a 5.1 x 102 N force for an hour.

FREE Expert Solution

Work done by a battery:

W=qV

Kinetic energy:

KE=12mv2

Gravitational potential energy:

U=mgh

Work done by constant force:

W=F·d

The work done on the car is divided into three:

1. Accelerating the car. Work done is equal to the kinetic energy of the car.

2. Climbing a hill. work done is equal to gravitational potential energy.

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Problem Details

A battery-operated car utilizes a 120.0 V source.

Find the charge the batteries must be able to move in order to accelerate the 720 kg car from rest to 25 m/s, make it climb a 1.85 x 102 m high hill, and then cause it to travel at a constant 25 m/s by exerting a 5.1 x 102 N force for an hour.

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