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how much would the spring be compressed

how much would the spring be compressed

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 5P: A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m...
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A 27 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 9,150 N/m.
(a)
By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.)
  
(b)
How much energy (in J) is stored in the spring under this circumstance?
Expert Solution
Step 1

Given:

Mass of the person is m=27 kg

Spring constant is k=9150 N/m

Note:

1 N=1 kg·m/s2

1 m=100 cm

1 J=1 Nm

Find:

(a) What is compressed length of spring if person is balanced vertically on pedals of stick.

(b) Energy stored in spring.

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