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Question
What force must be applied to a body through a distance of 10 m, such that it does a work of 4000 J. If the mass of body is 20 kg, what is the acceleration of the body?
Numerical
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Solution
Given: Work (W) = 4000 J
Distance (s) = 10 m
Mass (m) = 20 kg
Using W = F × s
F = `W/s`
= `4000/10`
= 400 N
Using Newton’s second law,
F = ma
a = `F/m`
= `400/20`
= 20 m/s2
Therefore, the required force is 400 N and the acceleration is 20 m/s2.
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