During spring semester at MIT, residents of the parallel buildings of the East C
ID: 2253050 • Letter: D
Question
During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law and has a spring constant of 106 N/m. If the hose is stretched by 4.9 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?
Explanation / Answer
work done =energy = 0.5 kx^2
= 0.5 * 106 * 4.9 * 4.9
= 1272.53 Joules
= 1.273 K Joules
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