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Q.

A body of mass 5kg starts from origin with a velocity $\bar{u} = (30 \hat{i} + 40 \hat{j}) {ms}^{- 1}$ . If a constant force $\bar{F} = - (\hat{i} + 5 \hat{j}) N$ acts on the body, then pick up the correct statements

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a

x- component of the velocity becomes zero at t = 180 second

b

y - component of the velocity becomes zero at t = 40 second

c

the direction of motion changes only once along x and y – directions

d

body will never attain permanent rest

answer is A, B, C, D.

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Detailed Solution

Along y axis

{(Δ P)}_{y} = F_{y} dt

$m [0 - 40] = - 5 \times (t - 0)$

$- 5 \times 40 = - 5 \times t$

$t = 40 s$

Along x – axis

${(Δ P)}_{x} = F_{x} Δ t$

$m [0 - 30] = - 1 \times (t - 0)$

$- 5 \times 30 = - t$

$t = 150s$

*body coil never attain permanent rest

*conceptual

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