Concept explainers
a) The speed of the mass when it is at the normal length
b) The speed of the mass at half its original extension
Answer to Problem 75GP
Solution:
a) The speed is
b) The speed is
Explanation of Solution
Given
The mass m is attached to a spring and held stretched by a force F .
The stretch by the force F is x .
Therefore, the spring constant
Formula used
Energy conservation conditions must be used here.
For part a, the kinetic energy of the mass is equal to the spring potential energy,
For part b, the spring potential energy,
Calculations
Part a
Therefore, the speed for return to its normal length is
Part b
For return to half the original extension,
Conclusion: Therefore, the speed for return to its half of original extension is
Chapter 6 Solutions
Physics: Principles with Applications
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