## Fundamentals of Physics Extended (10th Edition)

The total energy of snowball respect to the ground initially will be: $E_{tot}=E_{k0}+E_{p0}=\dfrac {mv^{2}_{0}}{2}+mgh(1)$ Total energy of snowball is conserved so when it hits the ground lets write total energy of snowball respect to ground again : $E_{tot}=E_{kB}+E_{pB}=\dfrac {mv^{2}_{B}}{2}+0\left( 2\right)$ so from (1) and (2) we get: $v_{B}=\sqrt {v^{2}_{0}+2gh}\left( 3\right)$ So when we look at equation (3) we see the speed of snowball when it reaches the ground doesnt depent on mass of snowball but rather depends on magnitute of initial speed and the height of building so if mass of snowball is $2.5 kg$ speed of snowball when it reaches the ground will not change