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A block is moved from rest through a distance of 4 m along a straight line path. The mass of the block is 5 kg and the force acting on it is 20 N. If the kinetic energy acquired by the block be 40 J, at what angle to the path is the force acting?

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45°

30°

60°

none of these

answer is C.

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Detailed Solution

Let required angle is $θ$ .
Work done = change in KE

$\Rightarrow Fs \cos θ = 40 - 0$

$\Rightarrow 20 \times 4 \cos θ = 40 \Rightarrow θ = 60 °$

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