15. A bucket of water is raised from a well using a rope wrapped around a cylind

Question

15. A bucket of water is raised from a well using a rope wrapped around a cylinder. The cylinder is turned by crank that is 48 cm long. The handle follows a circle that has a circumference of 3 m. If the force on the crank is 200 N, how much work is done each time it goes around? A 1200 kg car is travelling south at 19 m/s. It gets into a head on collision with a 1000 kg car travelling north at 10 m/s What is the final momentum of the two vehicles? What is the final velocity of the two vehicles? Which way are they travelling?

Explanation / Answer

part II:

Momentum along x axis ( say north) = Px = mVx = 1200* 19 = 2.28 e 4 kgm/s

Momentum aong y axis = Py = MVy = 1000 * 10 = 1 e 4 kgm/s

so

final Momentum PNet^2 = Px^2 + Py^2

Pnet^2 = 2.28^2+ 1^2

Pnet = 2.489 e 4 Kgm//s
.
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final veocity V = Pnet/(m1+m2)

V = 2.489e 4/(1200+1000)

V = 7.6 m/s

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directon tan theta = y/x

tan theta = 2.28/1 = 2.28

theta = 66.31 deg from North of East

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