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Chapter 1: Q6DQ (page 193)

In Example 5.5 (Section 5.1), how does the work done on the bucket by the tension in the cable compare with the work done on the cart by the tension in the cable?

Short Answer

Expert verified

The total work done on bucket is negative and work done on the cart is positive.

Step by step solution

01

Describe the Work

The expression for the work is given by,

W=F鈫�.s鈫�

Here,F鈫� is the force ands鈫� is the displacement.

02

Compare the work done by the tension in the cable on the bucket and cart

The tension is the sum of mass times of the acceleration and mass times of gravitational force.

T=ma+mg

In the given example, the tension force is acting in upward direction, and the displacement of the bucket is in the downward direction. So, the work done on the bucket by the tension force is negative.

Similarly, the displacement in the cart is in the same direction as of the tension force. So, the work done by the tension force on the cart will be positive.

Therefore, the total work done on bucket is negative and work done on the cart is positive.

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