A 20 m long spring is attached to the wall When pulled horizontaly with a forceof 100 N. the spring stretches to a length of 30m.-30 m-100 Na) Calculate the value of the spring constant.333.34n/mThe same spring is placed vertically on the ground and a 10 kg block is held 15 mabove the spring. The block is dropped, hits the spring, and compresses it.start0.15 m0+ -0maxcompressionbị Calculate the maximum oompression of the spring."

Answered: A 20 m long spring is attached to the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 34P: A 35.0-cm long spring is hung vertically from a ceiling and stretches to 41.5 cm when a 7.50-kg...

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A 20 m long spring is attached to the wall When pulled horizontaly with a force
of 100 N. the spring stretches to a length of 30m.
-30 m-
100 N
a) Calculate the value of the spring constant.
333.34n/m
The same spring is placed vertically on the ground and a 10 kg block is held 15 m
above the spring. The block is dropped, hits the spring, and compresses it.
start
0.15 m
0+ -0
max
compression
bị Calculate the maximum oompression of the spring."

Expert Solution

Step 1 :Introduction

The force provided to stretch the spring is $F = 100 N$ , which is calculated by using the formula $F = k x$ , where k is the spring constant and $x = 0.3 m$ is the stretched length .

According to the law of conservation of energy , energy can neither be created nor destroyed ,but can only be converted from one form to another . The gravitational potential energy will be equal to the spring potential energy , which is , $m g ∆ h = \frac{1}{2} k x^{2}$ , where $m = 10 k g$ is the mass of block , $g = 9.8 m / s^{2}$ is the acceleration due to gravity and $∆ h = 0.15 m$ is the height .

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