Gravity and Spring + KE problem

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Lori

Homework Statement


Handwritten energy derivation annotating a spring-and-pulley diagram: W_S = -1/2 k x^2 = -1/2(380)(0.4)^2 = -30.4, W_b = 20(9.8)(0.4) = 78.4, E_T = W_S + W_b = 78.4 - 30.4 = 1/2 m v^2, v = 2.2.


Homework Equations


shown above

KE = .5mv^2
KE = Total Work
Total work = Work by block - work by spring

The Attempt at a Solution


Shown above.

Did i do the problem correctly? I'm always unsure if I am doing the problem right
 
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  • Handwritten energy derivation annotating a spring-and-pulley diagram: W_S = -1/2 k x^2 = -1/2(380)(0.4)^2 = -30.4, W_b = 20(9.8)(0.4) = 78.4, E_T = W_S + W_b = 78.4 - 30.4 = 1/2 m v^2, v = 2.2.
    upload_2017-11-8_14-21-47.png
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Lori said:

Homework Statement


View attachment 214620

Homework Equations


shown above

KE = .5mv^2
KE = Total Work
Total work = Work by block - work by spring

The Attempt at a Solution


Shown above.

Did i do the problem correctly? I'm always unsure if I am doing the problem right
Yes this is right but you made this free body diagram comparing force with work done
 
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Abhishek kumar said:
Yes this is right but you made this free body diagram comparing force with work done
Good point.