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Question

A shell of mass 200 g is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 ms1, then the recoil speed of the gun is:

A
16 cms1
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B
8 cms1
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C
8ms1
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D
2ms1
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Solution

The correct option is D 16 cms1
Here,
Mass of the shell, m = 200g = 200×103kg
Mass of the gun, M = 100 kg
Muzzle speed of the shell, V = 80 ms1
Recoil speed of the gun, v = ?
According to the principle of conversation of linear momentum,
mV+Mv=0
v=mVM=(200×103kg)(80ms1)100kg
=16×102ms1=16cms1
-ve sign shows that the recoil speed of the gun will be in a direction opposite to that of the shell.

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