Work and Pumping Fluids

A chain weighs 0.5 pounds per foot of length. If a 36 foot chain is hanging from the edge of the roof of a tall building, how much work will it take to pull the chain up onto the roof? Round your answer to the nearest 25 ft-lb.

• 250 ft-lb

• 275 ft-lb

• 300 ft-lb

• 325 ft-lb

A leaky bucket that holds 50L (490 N) of water is hauled to the top of a building 20 m above the ground. When it reaches the top, 10L (98 N) of water are still in the bucket. How much work is done lifting the water? Do no include the bucket or rope. Round to the nearest 5 Joules,

• 5875 J

• 5880 J

• 5885 J

• 5890 J

A spring has a natural length of 10 in. An 800-lb force stretches the spring to 14 in. How much work is done in stretching the spring from 10 inches to 12 inches?

• 200 in-lb

• 300 in-lb

• 400 in-lb

• 500 in-lb

A spring has a natural length of 10 in. An 800-lb force stretches the spring to 14 in. How far beyond its natural length with a 1600-lb force stretch the spring?

• 6 in

• 8 in

• 10 in

• 12 in

A right cylindrical tank, with a height of 6 ft and a radius of 2 ft, is filled by pumping water from a lake 15 feet below the bottom of the tank. The the water can enter through a valve at the bottom of the tank. How much work is done filling the tank from its base? Round your answer to the nearest 10 ft-lb.

• 84,680 ft-lb

• 84,690 ft-lb

• 84,700 ft-lb

• 84,710 ft-lb

A right cylindrical tank, with a height of 6 ft and a radius of 2 ft, is filled by pumping water from a lake 15 feet below the bottom of the tank. The the water can enter through by puming it over the top.. How much work is done filling the tank from its base? Round your answer to the nearest 10 ft-lb.

• 98,800 ft-lb

• 98,810 ft-lb

• 98,820 ft-lb

• 98,830 ft-lb

Suppose a conical tank, with its vertex below its base, is filled to 2 ft below the top with milk. The tank has a maximum height of 10 feet and a base radius of 5 feet. If milk weighs 64.5 lb/cubic foot, how much work is done pumping the milk to the rim of the tank? Round to the nearest ft-lb

• 34,582 ft-lb

• 34,583 ft-lb

• 34,584 ft-lb

• 34,585 ft-lb

A force of  $F\left(x\right)=350x$  newtons moves a particle along a line from x = 0 m to x = 5 m.  Which of the following gives the best approximation of the work done by the force?

• 2916.67 J

• 3281.25 J

• 4375.01 J

• 4612.08 J

A spring has a natural length of 0.10 m. A 200-n force stretches the spring to a length of 0.15 m. Which of the following gives the work done in stretching the spring from 0.10 m to 0.15 m?

• 5 J

• 10 J

• 15 J

• 20 J