a. The work done by gravity on the elevator
b. The speed of the elevator just before striking the spring
c. Theamount by which the spring compresses
Answer to Problem 76GP
Solution:
a. The work done by gravity is
b. The speed of the elevator is
c. The compression of the spring is approximately
Explanation of Solution
Given:
The mass of the elevator is
The height of the elevator when the
The spring constant of the spring
Formula used
The work done by gravity is
For part b, the kinetic energy of the spring is equal to the work done by gravity.
Thus,
For part c,the kinetic energy of the elevator is equal to the spring energy and the potential energy of the spring extension.
Calculations
a
The work done by gravity on the elevator is,
b
The speed of the elevator just before striking the spring is,
c
Compressed length
Conclusion:
a. The work done by gravity is
b. The speed of the elevator is
c. The compression of the spring is approximately
Chapter 6 Solutions
Physics: Principles with Applications
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