A shell of mass $$200$$ g is fired by a gun of mass $$100$$ kg. If the muzzle speed of the shell is $$80$$ $$ms-1$$, then the recoil speed of the gun is

Question

A shell of mass $$200$$ g is fired by a gun of mass $$100$$ kg. If the muzzle speed of the shell is $$80$$ $$ms-1$$, then the recoil speed of the gun is

Infinity Learn · Accepted Answer

Here,Mass of the shell, m $$=$$ $$200g$$ $$=$$ $$200$$ ×$$10-3$$ kgMass of the gun, M $$=$$ $$100$$ kgMuzzle speed of the shell, V $$=$$ $$80$$ $$ms-1Recoil$$ speed of the gun, v $$=$$ ?According to the principle of conservation of linear momentum,mV $$+$$ Mv $$=$$ $$0v$$ $$=$$ mVM $$=$$ $$-(200$$ × $$10-3kg)(80$$ $$ms-1)100$$ $$kg=$$ $$-16$$ × $$10-2$$ $$ms-1$$ $$=$$ $$-16$$ cm $$s-1-ve$$ sign shows that the recoil speed of the gun will be in a direction opposite to that of the shell.

A shell of mass 200 g is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 ${ms}^{- 1}$ , then the recoil speed of the gun is

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A shell of mass 200 g is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 ms-1, then the recoil speed of the gun is

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A shell of mass 200 g is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 ${ms}^{- 1}$ , then the recoil speed of the gun is