The Physics of Everyday Phenomena
The Physics of Everyday Phenomena
8th Edition
ISBN: 9780073513904
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Chapter 6, Problem 1CQ

Equal forces are used to move blocks A and B across the floor. Block A has twice the mass of block B, but block B moves twice the distance moved by block A. Which block, if either, has the greater amount of work done on it? Explain.

Expert Solution & Answer
Check Mark
To determine

Which among the given blocks has greater amount of work done on it.

Answer to Problem 1CQ

The block B has greater amount of work done on it.

Explanation of Solution

Given info: Mass of block A is twice that of block B and the block B moves twice the distance moved by the block A.

The general expression for the work done on a block for moving it in the horizontal plane is,

W=Fd

Here,

W is the work done

F is the magnitude of the horizontally applied force

d is the distance moved by the block

It is clear that the work done is a function of force and distance moved. It is not a function of the mass of the object on which the work is done.

Here, same force is acting on the bocks A and B but the block B moves more distance than A. Hence, even though the mass of block A is larger, the block B has the greater amount of work done on it because it is moved more distance as compared to A, when the force is applied.

Conclusion:

Therefore, the block B has greater amount of work done on it.

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The Physics of Everyday Phenomena

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Mechanical work done (GCSE Physics); Author: Dr de Bruin's Classroom;https://www.youtube.com/watch?v=OapgRhYDMvw;License: Standard YouTube License, CC-BY