Question

Asked Mar 25, 2019

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 with a spring constant of 120 N/m. If the hose is stretched by 2.30 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?

Number____________ units _____________

Step 1

Since, the hose acts like a spring, the work done by the force from the hose on the balloon will be equal to the total elastic energy stored in the hose when it is stretched.

Step 2

Thus,

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