Ahmax 0.97m AL=0.035m Mouser = = 0.0Blesky i) Use energy conservation to find a mathematical expression to relate the height of the ball to the compression of the spring. Hint: only two forms of energy are needed (ignore drag, for now). Hint²: consider what you just measured when deciding how to set up your energy equation. /K (A)² = mysh mux = 13.65g b) Now solve your equations for the spring constant k (symbolically first!), then plug in the values you have measured to determine k. k= 2mg ohmux 20.01345 9810 0.57 10.035)2 = 190.20 N/m 2 K=190.70 Nm c) How much work did the spring do on the bullet? Hint: how does work relate to energy? W √ = 1/½/2• 190.20 (0.055)2². W = 11653 d) Using your answer for work from above, determine the average force of the spring on the bullet throughout the spring's displacement.

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Please solve subparts c, d, and e using the values given above in the picture

 

e) Use your answer for the average force from part d to find the maximum force the spring im-
parted to the ball, then calculate the spring constant k by using Hooke's Law. Is your value of k
the same as you found earlier? (Hint: It should be!)
Transcribed Image Text:e) Use your answer for the average force from part d to find the maximum force the spring im- parted to the ball, then calculate the spring constant k by using Hooke's Law. Is your value of k the same as you found earlier? (Hint: It should be!)
Ahmax 0.97m AL=0.035m Mouser =
=
0.0Blesky
i) Use energy conservation to find a mathematical expression to relate the height of the ball to the
compression of the spring. Hint: only two forms of energy are needed (ignore drag, for now).
Hint²: consider what you just measured when deciding how to set up your energy equation.
/K (A)² = mysh mux
= 13.65g
b) Now solve your equations for the spring constant k (symbolically first!), then plug in the values
you have measured to determine k.
k= 2mg ohmux
20.01345 9810 0.57
10.035)2
= 190.20 N/m
2
K=190.70 Nm
c) How much work did the spring do on the bullet? Hint: how does work relate to energy?
W
√ = 1/½/2• 190.20 (0.055)2².
W = 11653
d) Using your answer for work from above, determine the average force of the spring on the
bullet throughout the spring's displacement.
Transcribed Image Text:Ahmax 0.97m AL=0.035m Mouser = = 0.0Blesky i) Use energy conservation to find a mathematical expression to relate the height of the ball to the compression of the spring. Hint: only two forms of energy are needed (ignore drag, for now). Hint²: consider what you just measured when deciding how to set up your energy equation. /K (A)² = mysh mux = 13.65g b) Now solve your equations for the spring constant k (symbolically first!), then plug in the values you have measured to determine k. k= 2mg ohmux 20.01345 9810 0.57 10.035)2 = 190.20 N/m 2 K=190.70 Nm c) How much work did the spring do on the bullet? Hint: how does work relate to energy? W √ = 1/½/2• 190.20 (0.055)2². W = 11653 d) Using your answer for work from above, determine the average force of the spring on the bullet throughout the spring's displacement.
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