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A spring gun is made by compressing a spring in a tube and then latching the spring at the compressed position. A 4.87-g pellet is placed against the compressed and latched spring. The spring latches at a compression of [04]____________________ cm, and it takes a force of 9.13 N to compress the spring to that point. How much work (J) is done by the spring when the latch is released and the pellet leaves the tube?

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okpalawalter8

Complete Question

The complete question is shown on the first uploaded image

Answer:

The work done by the spring is = [tex]0.27 J[/tex]

Explanation:

Force = torque × length

Given

F = 9.13 N

length (L) = 5.91 cm  = 0.0591 m                         [Note 1 m = 100 cm ]

considering the formula above

          [tex]9.13 = k * 0.0591[/tex]    where k denotes torque

          [tex]k = 154.48\ N/m[/tex]

Energy Stored  [tex]= \frac{1}{2} k x^2[/tex]

                          [tex]= \frac{1}{2} * 154.48 * (0.0591)^2[/tex]

                         [tex]= 0.27J[/tex]  

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