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Q.

A force $(2 \hat{i} + \hat{j} - \hat{k}) N$ acts on a body, which is initially at rest. At the end of 20s the velocity of the body is $(4 \hat{i} + 2 \hat{j} - 2 \hat{k}) m s^{- 1}$ , then the mass of the body is

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An Intiative by Sri Chaitanya

a

10 kg

b

4.5 kg

c

5 kg

d

8 kg

answer is D.

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Detailed Solution

$|\bar{F}| = \sqrt{4 + 1 + 1} = \sqrt{6}$

$|\bar{V}| = \sqrt{16 + 4 + 4} = \sqrt{24}$

$F = \frac{m (v - u)}{t} \Rightarrow m = 10 k g$

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A force 2i^+j^−k^Nacts on a body, which is initially at rest. At the end of 20s the velocity of the body is 4i^+2j^−2k^ms−1, then the mass of the body is