5. A heavy rope is 5 m long whose mass is 30 kg, hangs over the edge of a building 10 m high. a. How much work is done in pulling the rope to the top of the building? b. How much work is done in pulling half of the rope to the top of the building?
5. A heavy rope is 5 m long whose mass is 30 kg, hangs over the edge of a building 10 m high. a. How much work is done in pulling the rope to the top of the building? b. How much work is done in pulling half of the rope to the top of the building?
College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:5. A heavy rope is 5 m long whose mass is 30 kg, hangs over the edge of a building 10 m high.
a. How much work is done in pulling the rope to the top of the building?
b. How much work is done in pulling half of the rope to the top of the building?
6. A tank which has the shape of an inverted circular cone with a height of 8 m and a base
radius of 4 m is full of water. Find the work required to pump all of the water out to the top of
the tank. (The density of water is 1000 kg/m³.)
7. A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well
that is 80 ft deep. The bucket is filled with 40 lb of water and is pulled up at a rate of 2 ft/s, but
water leaks out of a hole in the bucket at a rate of 0.2 Ib/s. Find the work done in pulling the
bucket to the top of the well.
8. A bucket of mass 0.5 kg is attached to a rope with density of 0.4 kg/m. It is used to draw
water from a well that is 6 m deep. The bucket is filled with 10 L of water.
a. Find the work done in pulling the bucket to the top of the well.
b. Find the work done in pulling the bucket to the top of the well if water leaks out of a hole in
the bucket at a rate of 0.1 L/s and it is pulled up at a rate of 0.5 m/s.
Hint: Add the work for pulling the rope to the work for pulling the bucket.
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