Tom has built a large slingshot, but it is not working quite right. He thinks he can model the slingshot like an ideal spring with spring constant of 35.0 N/m. When he pulls the slingshot back 0.375 m from a nonstretched position, it just does not launch its payload as far as he wants. His physics professor "helps" by telling him to aim for an elastic potential energy of 17.0 J. Tom decides he just needs elastic bands with a higher spring constant. By what factor does Tom need to increase the spring constant to hit his potential energy goal? factor of spring constant increase: During a follow-up conversation, Tom's physics professor suggests that he should leave the slingshot alone and try pulling the slingshot back further without changing the spring constant. How many times further than before must Tom pull the slingshot back to hit the potential energy goal with the original spring constant? factor of pullback distance increase: In which of the two scenarios does Tom have to pull harder? O they are equal O increased spring constant increased pullback distance

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 78AP: A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the...
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Tom has built a large slingshot, but it is not working quite right. He thinks he can model the slingshot like an ideal spring with a
spring constant of 35.0 N/m. When he pulls the slingshot back 0.375 m from a nonstretched position, it just does not launch its
payload as far as he wants. His physics professor "helps" by telling him to aim for an elastic potential energy of 17.0 J. Tom
decides he just needs elastic bands with a higher spring constant. By what factor does Tom need to increase the spring constant
to hit his potential energy goal?
factor of spring constant increase:
During a follow-up conversation, Tom's physics professor suggests that he should leave the slingshot alone and try pulling the
slingshot back further without changing the spring constant. How many times further than before must Tom pull the slingshot
back to hit the potential energy goal with the original spring constant?
factor of pullback distance increase:
In which of the two scenarios does Tom have to pull harder?
they are equal
increased spring constant
increased pullback distance
Transcribed Image Text:Tom has built a large slingshot, but it is not working quite right. He thinks he can model the slingshot like an ideal spring with a spring constant of 35.0 N/m. When he pulls the slingshot back 0.375 m from a nonstretched position, it just does not launch its payload as far as he wants. His physics professor "helps" by telling him to aim for an elastic potential energy of 17.0 J. Tom decides he just needs elastic bands with a higher spring constant. By what factor does Tom need to increase the spring constant to hit his potential energy goal? factor of spring constant increase: During a follow-up conversation, Tom's physics professor suggests that he should leave the slingshot alone and try pulling the slingshot back further without changing the spring constant. How many times further than before must Tom pull the slingshot back to hit the potential energy goal with the original spring constant? factor of pullback distance increase: In which of the two scenarios does Tom have to pull harder? they are equal increased spring constant increased pullback distance
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