   Chapter 5, Problem 9P

Chapter
Section
Textbook Problem

A mechanic pushes a 2.50 × 103-kg car from rest to a speed of v, doing 5.00 × 103 J of work in the process. During this time, the car moves 25.0 m. Neglecting friction between car and road, find (a) v and (b) the horizontal force excited on the car.

(a)

To determine
The speed of the car.

Explanation

Given Info:

The mass of the car is 2.50×103kg .

The work done by the mechanic is 5.00×103J .

The distance that the car moved is 25.0m

The work energy theorem states that the net work done on an object is the change in kinetic energy of the object.

Wnet=KEfKEi

• KEf is the finial kinetic energy
• KEi is the initial kinetic energy

Since the car is rest initially, the initial kinetic energy of the car is zero.

Thus,

The net work done is,

Wnet=KEf       (I)

Since KEf=12mv2

Equation (I) is given by,

Wnet=

(b)

To determine
The horizontal force excreted on the car.

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