   Chapter 5, Problem 4P

Chapter
Section
Textbook Problem

a shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25° below the horizontal. The force is just sufficient to overcome various frictional forces, so the cart moves at constant speed, (a) Find the work done by the shopper as she moves down a 50.0-m length aisle, (b) What is the net work done on the cart? Why? (c) The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by frictional forces doesn’t change, would the shopper’s applied force be larger, smaller, or the same? What about the work done on the cart by the shopper?

(a)

To determine
The work done by the shopper.

Explanation

Given Info:

The force that the shopper pushes the cart is 35N .

The angle with which the shopper pushes the cart is 25°C .

The length that the shopper moves down is 50.0m .

Formula to calculate the work done on the cart by the shopper is,

Wshopper=(Fcosθ)d

• θ is the angle between the force applied and the horizontal line of cart
• F is the force applied
• d is the length that the cart moved

Substitute 25°C for θ , 35N for F and 50

(b)

To determine
The net work done on the cart.

(c)

To determine
The shopper’s applied force is larger, smaller or same and the work done on the cart by the shopper.

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