Question

A bucket and a rope are used to draw water from a 100- foot deep well. The bucket weighs 5lbs, and the rope has a negligible weight. a) Calculate the work required to life only the empty bucket 100 feet. b) Assume the bucket is filled with 40lb of water. Calculate the work required to life the bucket 100 feet. c) Now suppose the bucket leaks water at the rate of 0.1lb/s. Write down an expression that gives the weight of the filled bucket after t seconds, assuming that it is filled with 40lb of water at t = 0. (The answer will be the function of t ) d)Now suppose tat the bucket is lifted at the rate of 3ft/s, and leaks water as in part (c). So, after t seconds, the bucket is y = 3t feet above the 100 foot depth. Use this fact and your answer to (c) to write and expression to the weight of the filled bucket when it is y feet above the 100-foot depth. (The answer will be a function of y ) e) Integrate your answer to part (d) to calculate the work required to lift the filled leaky bucket of water 100 feet (assuming it is filled with 40lbs of water at t = 0)

          A bucket and a rope are used to draw water from a 100- foot deep well. The bucket weighs 5lbs, and the rope has a negligible weight.

a) Calculate the work required to life only the empty bucket 100 feet.

b) Assume the bucket is filled with 40lb of water. Calculate the work required to life the bucket 100 feet.

c) Now suppose the bucket leaks water at the rate of 0.1lb/s. Write down an expression that gives the weight of the filled bucket after t seconds, assuming that it is filled with 40lb of water at t = 0. (The answer will be the function of t )

d)Now suppose tat the bucket is lifted at the rate of 3ft/s, and leaks water as in part (c). So, after t seconds, the bucket is y = 3t feet above the 100 foot depth. Use this fact and your answer to (c) to write and expression to the weight of the filled bucket when it is y feet above the 100-foot depth. (The answer will be a function of y )

e) Integrate your answer to part (d) to calculate the work required to lift the filled leaky bucket of water 100 feet (assuming it is filled with 40lbs of water at t = 0)

A bucket and a rope are used to draw water from a 100- foot deep well. The bucket weighs 5lbs, and the rope has a negligible weight.

a) Calculate the work required to life only the empty bucket 100 feet.

b) Assume the bucket is filled with 40lb of water. Calculate the work required to life the bucket 100 feet.

c) Now suppose the bucket leaks water at the rate of 0.1lb/s. Write down an expression that gives the weight of the filled bucket after t seconds, assuming that it is filled with 40lb of water at t = 0. (The answer will be the function of t )

d)Now suppose tat the bucket is lifted at the rate of 3ft/s, and leaks water as in part (c). So, after t seconds, the bucket is y = 3t feet above the 100 foot depth. Use this fact and your answer to (c) to write and expression to the weight of the filled bucket when it is y feet above the 100-foot depth. (The answer will be a function of y )

e) Integrate your answer to part (d) to calculate the work required to lift the filled leaky bucket of water 100 feet (assuming it is filled with 40lbs of water at t = 0)

Added by Joyce W.

Question

Please give Ace some feedback