Answer to Question #107357 in Physics for Nyx

Question

A 4.8 g lead bullet moving at 252 m/s strikes
a steel plate and stops.
If all its kinetic energy is converted to thermal energy and none leaves the bullet, what is
its temperature change? Assume the specific
heat of lead is 128 J/kg ·◦ C.
Answer in units of ◦C.

Answer 1

$$Q=K\to mc\Delta T=0.5mv^2$$

$$2c\Delta T=v^2$$

$$2(128)\Delta T=252^2$$

$$\Delta T=248\degree C$$