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Chapter 1: Q4 DQ (page 389)

Equation (12.7) shows that an area ratio of 100 to 1 can give 100 times more output force than input force. Doesn鈥檛 this violate conservation of energy? Explain.

Short Answer

Expert verified

It doesn鈥檛 violate the concept of conservation of energy.

Step by step solution

01

Given Data

The area ratio is 100:1.

02

Understanding the amount of work

In this question, the concept of amount of work will be applied for evaluating the work output and work input. The amount of work is equivalent to the multiplication of force as well as distance.

03

Determining the amount of work output and input

The relation of work done is written as:

W=F脳d

Here, Fis the force and dis the distance.

The given area ratio is 100:1. From this, it is obtained that the output force will be 100 times greater than the input force. Also, by using the above relation, it can be said that the smaller force is exerted through a larger distance (100 times larger) as compared to the greater force.

Thus, the work output will be equivalent to the work input and the energy is conserved.

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