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JEE Mains Previous Years Questions with Solutions

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AIEEE 2002

MCQ (Single Correct Answer)
If a body looses half of its velocity on penetrating $$3$$ $$cm$$ in a wooden block, then how much will it penetrate more before coming to rest?
A
$$1$$ $$cm$$
B
$$2$$ $$cm$$
C
$$3$$ $$cm$$
D
$$4$$ $$cm$$

Explanation

We know the work energy theorem, $$W = \Delta K = FS$$

For first penetration, by applying work energy theorem we get,

$${1 \over 2}m{v^2} - {1 \over 2}m{\left( {{v \over 2}} \right)^2} = F \times 3\,\,...(i)$$

For second penetration, by applying work energy theorem we get,

$${1 \over 2}m{\left( {{v \over 2}} \right)^2} - 0 = F \times S\,...(ii)$$

On dividing $$(ii)$$ by $$(i)$$

$${{1/4} \over {3/4}} = S/3$$

$$\therefore$$ $$S = 1\,cm$$

Questions Asked from Work Power & Energy

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