Concept explainers
The height of the first hill.
Answer to Problem 80A
The height of the first hill must be increased by four times.
Explanation of Solution
Introduction:
The kinetic energy of an object of mass
And, conservation of Mechanical Energy is given as,
Where
Also, the PE of an object of mass, m , due to its height, h , and gravity is given by,
The initial velocity at the top of the roller coaster will be zero, while the height at the bottom of the roller coaster will be 0, thus
Then to have the velocity at the bottom of the roller coaster doubled, the height of the first hill must be increased by four times.
Conclusion:
The height of the first hill must be increased by four times to have the velocity at the bottom of the hill doubled.
Chapter 11 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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