A child bounces in a harness suspended from a door frame by three parallel elastic bands. (a) If each elastic band stretches 0.230 m while supporting a 6.75 kg child, what is the force constant for each elastic band? 287.61 How is the force constant of a spring related to the stretch of the spring? N/m (b) What is the time for one complete bounce of this child? 0.963 (c) What is the child's maximum velocity if the amplitude of her bounce is 0.230 m? 15.01 At what point does the child have a maximum speed? A minimum speed? Can you relate the two points with energy conservation? What types of energy are relevant? m/s

Physics for Scientists and Engineers, Technology Update (No access codes included)
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ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Circular Motion And Other Applications Of Newton’s Laws
Section: Chapter Questions
Problem 6.8P: Consider a conical pendulum (Fig. P6.8) with a bob of mass m = 80.0 kg on a string of length L =...
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A child bounces in a harness suspended from a door frame by three parallel elastic bands.
(a) If each elastic band stretches 0.230 m while supporting a 6.75 kg child, what is the force constant for each elastic band?
287.61
How is the force constant of a spring related to the stretch of the spring? N/m
(b) What is the time for one complete bounce of this child?
0.963
S
(c) What is the child's maximum velocity if the amplitude of her bounce is 0.230 m?
15.01
At what point does the child have a maximum speed? A minimum speed? Can you relate the two points with energy conservation? What types of energy are relevant? m/s
Transcribed Image Text:A child bounces in a harness suspended from a door frame by three parallel elastic bands. (a) If each elastic band stretches 0.230 m while supporting a 6.75 kg child, what is the force constant for each elastic band? 287.61 How is the force constant of a spring related to the stretch of the spring? N/m (b) What is the time for one complete bounce of this child? 0.963 S (c) What is the child's maximum velocity if the amplitude of her bounce is 0.230 m? 15.01 At what point does the child have a maximum speed? A minimum speed? Can you relate the two points with energy conservation? What types of energy are relevant? m/s
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