Chapter 14, Problem 34P

To determine

Mass of ice melted after collision

Answer to Problem 34P

Solution:

$0.00\text{52 kg}$

Explanation of Solution

Given Info:

Mass of bullet is 55 g and it is moving at 250 m/sec

Formula used:

Heat for melting is given by

$Q=mL$

Where L is latent heat

Calculation:

Kinetic energy of the bullet is used to melt the ice

$\begin{array}{l}\frac{1}{2}m{v}^2=m_{ice}L\\ \frac{1}{2}\times 0.055\text{kg}\times {(}^{250}=m_{ice}(3.33\times {10}^5\text{J/kg})\\ m_{ice}=0.0052\text{kg}\end{array}$