A spring has a spring constant of 40 N/cm and is stretched 6 cm. Determine the object's spring potential energy.
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A spring has a spring constant of 40 N/cm and is stretched 6 cm. Determine the object's spring potential energy.
This is a problem based on S.H.M.
The object's spring potential energy while stretching it can be written as,
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Solved in 2 steps
- 1.The work required to stretch a certain spring from an elongation of 4.00 cm to an elongation of 5.00 cm is 30.5 J. (a) Is the work required to increase the elongation of the spring from 5.00cm to 6.00 cm greater than, less than, or equal to 30.5 J?Draw and Explain. (b)Verify your answer to part (a) by calculating the required work.A spring is initially stretched a distance of 0.2m from its natural length. Its elastic potential energy increases from zero to a final value of 25J. The force constant, k of the spring isTom 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…
- 7. A 60 Kg woman is attached to a bungee cord with an unstretched length of 12m. She jumps off a tower; from a height of 70 m. When she finally stops, the cord has a stretched length of 37m. Assuming the spring constant of the bungee cord is 69.8 N/m, what is the total potential energy relative to the ground when the woman stops falling?A spring of negligible mass has force constant k = 1600 N/m. How far must the spring be compressed for 3.20 j of potential energy to be stored in it? 7) %3D a) b) The spring is placed vertically with one end on the floor. A 1.0-kg book is the droped from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed. 1.0 kg h = 0.8 mAs a 1.5×104 kgkg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 6.3×104 N/mN/m . The spring stretches 33 mm to stop the plane What is the elastic potential energy of the spring when the plane comes to a stop?
- Determine the percent increase in the potential energy of the spring if it is stretched from 4.00 cm to 8.00 cm?QUESTION 9 When a spring is compressed or stretched, the elastic potential energy (U=1/2kx²) of the spring: Oa. Stays constant Ob. Decreases Oc Increases Od. Either positive or negativeThe spring constant of a spring is 100 N/m. A force of 10 N stretches the spring by 10 cm. How much potential energy is stored in the spring? а. О.3] b. 0.2J c. 0.4J d. 0.5J