Answered: A boy is trying to roll a bowling ball…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A boy is trying to roll a bowling ball up a hill, as shown in the image below. If friction is ignored, what is the minimum initial velocity that the ball must have for it to reach the top of the hill? (Recall that g = 9.8 m/s2)

40 m
A. 28 m/s
B. 14 m/s
C. 21 m/s
D. 7 m/s

Expert Solution

Step 1

Given that,

The height of the hill, h = 40 m

We need to find the minimum initial velocity that the ball must have for it to reach the top of the hill. Let it is equal to v.

When the ball reaches the top of the hill, its kinetic energy is converted to potential energy as per the law of conservation of energy. So,

$m g h = \frac{1}{2} m v^{2} v = \sqrt{2 g h}$

m is the mass of the ball,

g is the acceleration due to gravity

h is height

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