During spring semester at MIT, residents of the parallelbuildings of the East Ca

Question

During spring semester at MIT, residents of the parallelbuildings of the East Campus dorms battle one another with largecatapults that are made with surgical hose mounted on a windowframe. A balloon filled with dyed water is placed in a pouchattached to the hose, which is then stretched through the width ofthe room. Assume that the stretching of the hose obeys Hooke's lawwith a spring constant of 112 N/m. Ifthe hose is stretched by 4.70 m andthen released, how much work does the force from the hose do on theballoon in the pouch by the time the hose reaches its relaxedlength? in joules??? During spring semester at MIT, residents of the parallelbuildings of the East Campus dorms battle one another with largecatapults that are made with surgical hose mounted on a windowframe. A balloon filled with dyed water is placed in a pouchattached to the hose, which is then stretched through the width ofthe room. Assume that the stretching of the hose obeys Hooke's lawwith a spring constant of 112 N/m. Ifthe hose is stretched by 4.70 m andthen released, how much work does the force from the hose do on theballoon in the pouch by the time the hose reaches its relaxedlength? in joules???

Explanation / Answer

let the stretch length = x ans spring constant of hose = k work done by the hose W = kx^2 / 2 plugging in the given values we can sovle for ' W' .

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