Answered: a force of 30.0 N is required to push a…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter10: Work, Energy And Machines

Section10.1: Work And Energy

Problem 8PP

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Question

a force of 30.0 N is required to push a 20.0kg mass 2.00 m across the floor. the mass is then lifted a distance of 1.00 m to the top of a shelf. how much work was done on the mass?

Expert Solution

Step 1

The work done by a force is given by,

$W = F d \cos θ$

Here, F is the magnitude of the force, d is the distance moved by the object and $θ$ is the angle between the force and the displacement.

The angle between the applied force in the horizontal direction and the displacement of the mass is $0 °$ . Work done the applied force to push the mass through the floor is given by,

$\begin{array}{rcl} W_{x} & = & F_{x} x \cos 0 ° \\ = & F_{x} x \end{array}$

Here, $F_{h}$ is the applied horizontal force and x is the distance moved by the mass through the floor.

Substituting,

$\begin{array}{rcl} W_{x} & = & (30.0 N) (2.00 m) \\ = & 60.0 J \end{array}$

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