During spring semester at MIT, residents of the parallel buildings of the East C

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 105 N/m. If the hose is stretched by 5.2 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

The work done is 1/2*k*x^2 = 1/2*105N/m*(5.2m)^2 = 1419.6J

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