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 - Page 212: 119c

Answer

The answer to part (b) does not depend on the mass of the ball.

Work Step by Step

We can use conservation of energy to find an expression for the speed when it is 3.0 meters below the window: $K_f+U_f = K_0+U_0$ $K_f = K_0+U_0-U_f$ $\frac{1}{2}mv_f^2 = \frac{1}{2}mv_0^2+mg(h_0-h_f)$ $v_f^2 = v_0^2+2g(h_0-h_f)$ $v_f = \sqrt{v_0^2+2g(h_0-h_f)}$ We can see that the final speed depends on the initial speed, the acceleration due to gravity, and the difference in initial height and final height. The answer to part (b) does not depend on the mass of the ball.
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