Question 4 of 14 Sapling Learning Map A A spring with force constant 387 N/m is

Question

Question 4 of 14 Sapling Learning Map A A spring with force constant 387 N/m is in a compressed state, 0.363 m shorter than its relaxed length. In this condition, the s earthquakes. A curious at renders the earthquake detector useless, and it fails to warn of than relaxed ength. a very strong earthquake that subsequently shatters all the lawn sculptures in the area-fortunately with no other damage orinjury Although some might consider this to be beneficial, the physicist's boss does not. some extremely So imposes a unattractive plaster gnomes around her yard and loved d and of elastic potential energy that he caused by his meddling. What does he find? Number AO Previous Check Answer 0 Next HExi Hint

Explanation / Answer

Intial potential energy of the spring, when x1 = 0.363 m

Ui = 1/2 k x1^2

Ui = 1/2 x 387 x 0.363^2 = 25.5 J

Final energy when, x2 = 0.145 m

Uf = 1/2 k x2^2

Uf = 1/2 x 387 x 0.145^2 = 4.1 J

The chage in Potential energy of the spring is:

Delta U = Uf - Ui

Delta U = 4.1 - 25.1 = 21.4 J

Hence, delta U = 21.4 J

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