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Q.

A child pulls a toy car through a distance of 10 metres on a horizontal floor. The string held in the child’s hand makes an angle of 600with the horizontal surface. If the force applied by the child is 10 N, then which of the following is the work done by the child in pulling the toy car?


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a

70 joule

b

50 joule

c

40 joule

d

None of these 

answer is B.

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Detailed Solution

The work done by the child in pulling the toy car is  50 Joule.
Applied force and the displacement are not in the same direction, we will calculate the work
done by the formula
= Fs cos θ---1
Given,
Force F=10N
Magnitude of the displacement s = 10
Angle between force and displacement, θ = 60°
Substituting these values in the above formula (1),
we get
W=(10) × (10) cos 60° 
W=10 × 10 × 12=50 joule (cos 600=12)  
Work done by the child in pulling the toy car is given by 50 joule
 
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