A bullet of mass $$5g$$ , Travelling with a speed of $$210$$ $$m/s$$ , strikes a fixed wooden target . One half its kinetic energy is converted in to heat in the bullet while the other half is converted in to heat in the wood. The rise of temperature of the bullet if the specific heat of the material is $$0.030$$ $$cal/g-0C1cal=4.2$$×$$107ergs$$ close to:

Question

A bullet of mass $$5g$$ , Travelling with a speed of  $$210$$ $$m/s$$ , strikes a fixed wooden target . One half its kinetic energy is converted in to heat in the bullet while the other half is converted in to heat in the wood. The rise of temperature of the bullet if the specific heat of the material is $$0.030$$ $$cal/g-0C1cal=4.2$$×$$107ergs$$ close to:

Infinity Learn · Accepted Answer

One half of kinetic energy is used up in heating the bullet.​∴$$1212mv2$$ $$=$$ msΔT ​⇒$$14$$ $$210002$$ $$=0.03$$×$$4.2$$×$$1071$$×ΔT​⇒Δ$$T=441$$×$$1064$$×$$0.03$$×$$4.2$$×$$107=87.50C$$

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