Question

solve given questions number ​

Answer 1

$\bold {\huge {Your ~answer :-}}$

$\bf\huge\boxed{-0.80\:m/s,\: 16\:N}$

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EXPLAINATION ➣

Given —

→Mass of rifle and the man (M) = 100 kg

→mass of bullet (m) = 10 gm

→t = 5 sec

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By applying $\green{\texttt{Linear conservation of momentum}}$

⇨ Pi = Pf

⇨ mu1 + Mu2 = mv1 + Mv2

⇒ 0 + 0 = nmu + (M- nm) v

Here $\green{\texttt{initially velocity is zero }}$

⇒0 = 10 × 10/1000 × 800 + (100- 10× 10× 10¯³) v

On solving

⇒v = - 0.80 m/s

[-ive sign just indicating the direction is $\green{\texttt{ opposite}}$ to the direction of bullets]

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Now By

F = ΔP/Δt [average force]

⇒F = (10×10× 10¯³× 800)/5

⇒F = 16 N

Hence, option (3) is the right answer.

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