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ID: 1469549 • Letter: F

Question

Firefox File Edit View History Bookmarks Tools Window Help di 26% Sun 2:45 PM Q. E Africa: A Healthcare in... Describing cl... my students... LB Quiz out. G describin... G google tr... C Home I my students. Zimbra: Inbo PHY 101 x https://zimbra. umassd.edu service/home/~/PHY 101 Midterm Bonus.pdf auth co&loc; en US&id; 7321 Search G Most visited Getting Started 4t Page 1 of 1 a Automatic Zoom This is the bonus take-home part of the third Midterm. It is due on November 22, 2015 in class. Please show all your work. Answers without supporting work will not be given credit. Independent work is expected. Name: Spring Theory 20 points An object of mass m 10 kg is released from a height of 2 m on top of a vertically aligned spring with spring constant k 1000 N/m. The relaxed length of the spring is 1 m and the lower end is attached on a rigid level surface. Assume that the spring is massless and ideal; and neglect air-resistance. Calculate the maximum compression and extension of the spring after the released object falls on top of the spring.

Explanation / Answer

change in potential energy of mass = gin in spring potential energy

=> mgh = 1/2Kx^2

=> 10*9.8*(2-1) = 1/2*1000*x^2

=> x = 0.4427 m

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