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Chapter 1: 45P (page 1)

A 100 kgblock is pulled at a constant speed of 5.0 m/sacross a horizontal floor by an applied force of 122 Ndirected37掳above the horizontal. What is the rate at which the force does work on the block?

Short Answer

Expert verified

The rate of doing work on the block is, 4.9脳102W.

Step by step solution

01

Given

The mass of block is, m=100kg.

The force applied on block is, F=122N.

The velocity of block is, v=5.0m/s.

The direction of force is, 胃=37掳.

02

Concept

The rate at which the force does the work on the object is called as power due to the force. The work done on a particle by a constant force during its displacement is given as

W=F鈫�.d鈫�

Formula:

W=F鈫�.d鈫�Pavg=W鈭�t

03

Calculate the work done

The power due to force is the rate at which force does the work on the object.

Pavg=W鈭�t=Fd肠辞蝉胃tPavg=Fv肠辞蝉胃

(As dt=v),

Substitute all the value in the above equation.

Pavg=122N脳5.0m/s脳cos37=4.9脳102W

Thus, the rate at which the force does work on the block 4.9脳102W.

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