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)
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)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e28fc64-adcc-441f-8ebe-944d3962711a%2F024d42fa-1f74-4f06-92bf-527fb3012ab7%2F9ffy5e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:40 m
A. 28 m/s
B. 14 m/s
C. 21 m/s
D. 7 m/s
Expert Solution
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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 is the mass of the ball,
g is the acceleration due to gravity
h is height
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