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Pushing on the pump of a soap dispenser compresses asmall spring. When the sprin

ID: 1756695 • Letter: P

Question

Pushing on the pump of a soap dispenser compresses asmall spring. When the spring is compressed 0.54 cm, its potentialenergy is 0.0025j. a. What is the force constant of the spring ? Note; Need answer in kN/m . b. What compression is required for the spring potentialenergy to equal 0.0082j ? Note need answer in cm . Pushing on the pump of a soap dispenser compresses asmall spring. When the spring is compressed 0.54 cm, its potentialenergy is 0.0025j. a. What is the force constant of the spring ? Note; Need answer in kN/m . b. What compression is required for the spring potentialenergy to equal 0.0082j ? Note need answer in cm .

Explanation / Answer

Pushing on the pump of a soap dispenser compresses asmall spring. When the spring is compressed 0.54 cm, its potentialenergy is 0.0025j. a. What is the force constant of the spring ? Note; Need answer in kN/m .
work done =potential energy =1/2k*x*x
                 =0.0025=0.5k*0.0054*0.0054=>
k=171.46N/m=0.171Kn/m
b. What compression is required for the spring potentialenergy to equal 0.0082j ? Note need answer in cm .

potential energy =1/2k*x*x
0.0082=1/2k*x*x=0.5*171.46*x*x
calculating x=0.9780cm

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