Question

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

Name: Problem 1, Chapter 6: The Physics of Everyday Phenomena: A Conceptual Introduction to Physics
Uploaded: 2021-09-20T06:13:14-08:00
Duration: 1 min 58 s
Channel: Prabhu Ramji
Description: 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.

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

The Physics of Everyday Phenomena: A Conceptual Introduction to Physics

W. Thomas Griffith,… 6th Edition

Chapter 6, Problem 1

Instant Answer

Solved by Expert Prabhu Ramji

09/20/2021

Step 1

The work done by a force on an object is given by the product of the force and the displacement of the object in the direction of the force. Mathematically, it is represented as $W = F \cdot d$, where $W$ is the work done, $F$ is the force, and $d$ is the Show more…

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

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Key Concepts

Work

Work is a measure of energy transfer resulting from a force causing an object to move. It is calculated as the dot product of the force and the displacement, meaning that both the magnitude of the force and the distance over which it is applied are crucial to determining the total work done.

Force

Force is a vector quantity that can cause an object with mass to change its velocity. In the context of work, it is the external influence applied to an object, and its magnitude directly impacts the amount of work done when combined with the displacement.

Distance

Distance, or more specifically displacement in the direction of the force, is a key factor in the work done. Since work is the product of force and displacement, a greater distance with the same force results in more work being done, regardless of the mass of the object.

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