Question

A 5.0 g copper-bullet is fired into a fence post. The initial speed of the bullet is 270 m/s, and when it comes to rest, half its kinetic energy goes into heating the bullet. How much does the bullet's temperature increase?

Answer 1

Find the initial kinetic energy by using relation \[E=\frac{1}{2}mv^2\]Now, according to question half the kinetic energy goes in to heating. so, divide the obtained result by 2 to get the amount of heat energy. i.e. \(H=\frac{1}{2}E\)
Now use the relation, \(H=ms\Delta \theta\) to find the rise in temperature of bullet. here s is specific heat capacity of bullet!