Answer to Question #107369 in Physics for Nyx

Question

An iron nail is driven into a block of ice by a
single blow of a hammer. The hammerhead
has a mass of 0.8 kg and an initial speed of
3 m/s. Nail and hammer are at rest after the blow.
How much ice melts? Assume the temperature of both the ice and the nail is 0◦C before
and after. The heat of fusion of ice is 80 cal/g.
Answer in units of g.

Answer 1

$$0.5mv^2=m_{ice}L$$

$$0.5(0.8)(3)^2=(4.186\cdot 80)m_{ice}$$

$$m_{ice}=0.01075\ g$$