A 100 kgblock is pulled at a constant speed of 5.0 m/sacross a horizontal floor by an applied force of 122 Ndirected37°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, 4.9×102W.

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, θ=37°.

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.d

Formula:

W=F.dPavg=Wt

03

Calculate the work done

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

Pavg=Wt=FdcosθtPavg=Fvcosθ

(As dt=v),

Substitute all the value in the above equation.

Pavg=122N×5.0m/s×cos37=4.9×102W

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

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