Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 8 - Potential Energy and Conservation of Energy - Problems: 12c

Answer

speed of snowball when it reaches the ground will not change

Work Step by Step

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
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