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QNEET-2013-Ph-1589: NEET 2013 Physics - Class 11 NEET-2013-Ph-1589 Solution: A person holding a rifle (mass of person and rifle together is…

A person holding a rifle (mass of person and rifle together is 100 kg) stands on a smooth surface and fires 10 shots horizontally in 5 s. Each bullet has a mass of 10 g with a muzzle velocity of

800\ \text{m s}^{-1}

. The final velocity acquired by the person and the average force exerted on the person are:

-0.08\ \text{ms}^{-1} 16\ \text{N}

-0.8\ \text{ms}^{-1} 8\ \text{N}

-1.6\ \text{ms}^{-1} 16\ \text{N}

-1.6\ \text{ms}^{-1} 8\ \text{N}

Multiple Choice Options

A $-$ _ 0.08 ms $-$ _ 1 , 16 N
B $-$ _ 0.8 ms $-$ _ 1 , 8 N
C $-$ _ 1.6 ms $-$ _ 1 , 16 N
D $-$ _ 1.6 ms $-$ _ 1 , 8 N

Step-by-Step Verified Solution

According to law of conservation of momentum MV + mnv = 0 _ V _ _ m N v M _ _ 0.01 k g _ 10 _ 800 m / s 100 _ _ 0.8 m / s According to work energy theorem, Average work done = Change in average kinetic energy i.e, F a v _ S a v = 1 2 m V r m s 2 _ F a v V max t 2 = 1 2 m V r m s 2 2 _ F a v = 8 N

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