(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a)how much work is done by gravity as a 2kg mass is raised 2m vertically?

b)what is the change in gravitation potential energy of a 2kg mass raised 2m vertically?

c)How much work is done by a spring with a spring constant k = 50N/m as it is compressed by 0.1m from its relaxed position?

d) what is the change in the potential energy of a spring with spring constant k = 50N/m as it is compressed by0.1m from is relaxed position?

e) A 0.05kg mass is held against a spring( with spring constant k = 50N/m) while the spring is compressed by 0.1m. The mass is released and accelerated by the spring. What is the final speed of the mass?

3. The attempt at a solution

A. Wg= mgh wg = (2)(9.8)(2) = 39.2J

B. PE = mgh PE = (2)(9.8)(2) = 39.2J

C. Ws = 1/2kx^2 Ws = 1/2(50)(.1)^2 = 0.25J

D. Us = 1/2 kx^2 Us = 1/2(50)(.1)^2 = 0.25J

E. I dont know....

W = change KE

attempt 1/2kx^2 = 1/2mv^2

1/2(50)(.1)^2 = 1/2(.005)v^2

vf = sqrt(10)m/s

can someone check my work?

I need some help and explanation for problem e.

Im not too sure about the signs.

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# Work/Potential Energy of a Spring

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