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Equations of Motion

A body of mas...

Question

A body of mass $1 k g$ is traveling with a velocity of $3 m / s$ accelerates uniformly with $8 m / s^{2}$ to travel for $2 s$ . Find its final momentum

19 N s

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6 N s

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12 N s

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20 N s

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Solution

The correct option is A $19 N s$
$p = m \times v$
Using equation of motion for relating $u$ and $v$
$v = u + a t$
Initial momentum $p_{0} = m u = 1 \times 3 = 3 N s$
Change in momentum
$Δ p = m (v - u) = m \times a t$
$= 1 \times 8 \times 2 = 16 N s$
Therefore final momentum $p = p_{0} + Δ p$
$= 3 + 16 = 19 N s$

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