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Constrained Motion : General Approach

A force of ...

Question

A force of $150 N$ produces an acceleration of $2 m s^{- 2}$ in a body and a force of $200 N$ produces an acceleration of $3 m s^{- 2}$ . The mass of the body and the coefficient of kinetic friction are:

50 k g, 0.1

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25 k g, 0.1

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50 k g, 0.5

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50 k g, 0.2

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Solution

The correct option is A $50 k g, 0.1$
We know: $m a = F - μ m g$
Thus, $2 M = 150 - 10 μ M$
And, $3 M = 200 - 10 μ M$
Solving simultaneously we get:
$M = 50 k g a n d μ = 0.1$

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