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Question

Captains of two cricket team decide to go for a stump shootout . The umpire pulls out the off and the leg stump and the middle stump is left standing. Both captains are asked to stand at the other end of the wicker and shoot a bullet at the top of the stump. The one who knocks over the stump wins . One captain shoots with a real bullet and the other shoots with a rubber bullet . If the mass and speed of both bullets are same which captain has a better chance of knocking the stump over ?

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Solution

Given that both bullets have same mass and velocity... So their kinetic energy is same...

But rubber have less density than real bullet material

Since,
Density
=mass/volume

Density inversely proportional to volume

So the rubber bullet will have higher volume since it's density is less


So, the rubber bullet is larger in size means when it hits the stumps the energy is transferred to a larger area than the bullet does... So knocking by rubber is lesser and
the real bullet have a higher chance of knocking

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