Question 1

A cylindrical tank of radius 8 m and height 18 m is filled with a liquid whose density is 2.06 kg/m³. How much work is needed to lift the liquid out of the tank?

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Question 2

A conical tank has a diameter of 6 feet and is 9 feet deep. If the tank is filled to a depth of 7 feet with water of density 62.4lbs/ft³, how much work is required to pump the water over the top?

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Question 3

A cylindrical tank is to be filled with gasoline weighing 50lbs/ft³. If the tank is 20 feet high and 8 feet in diameter, how much work is done by the pump in filling the tank through a hole in the bottom of the tank?

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Question 4

A 80 foot chain weighing 20 pounds per foot supports a steel beam weighing 2000 pounds. How much work is done in winding 70 feet of the chain onto a drum.

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Question 5

A dredger scoops a shovel full of mud weighing 4000 pounds from the bottom of a river at a constant rate. Water leaks out uniformly at such a rate that half the weight of the contents is lost when the scoop has been lifted 25 feet. How much work is done by the dredger in lifting the mud this distance?

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Question 6

A cylindrical tank 6 feet in diameter and 12 feet high is filled with water weighing 62.4lbs/ft³. How much work is required to pump the water over the top of the tank?

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Question 7

A spring exerts a force of 32 N when stretched 10 cm. How much work, in Joules, is required to stretch the spring from a length of 370 cm from its natural length to a length of 450 cm from its natural length?

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Question 8

A cylindrical tank 6 feet in diameter and 6 feet high is filled with oil whose density is 48 lbs/ft³. How much work is required to pump the oil over the top of the tank?

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Question 9

A 50 foot length of steel chain weighing 10 pounds per foot is hanging from the top of a building. How much work is required to pull half of it to the top?

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Question 10

Assume 84 J of work stretch a spring 4 cm. Find the spring constant in J/cm.

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Question 11

A spring whose natural length is 35 cm is stretched to a length of 40 cm by a 3-N force. Find the work done in stretching the spring.

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Question 12

A spring exerts a force of 1 ton when stretched 5 feet beyond its natural length. How much work is required to stretch the spring 43 feet beyond its natural length?

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Question 13

An object in deep space is initially considered to be stationary. If a force of 620 N acts on the object over a distance of 575 m, how much work is done on the object?

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Question 14

A bucket weighing 1000 pounds is to be lifted from the bottom of a shaft 20 feet deep. The weight of the cable used to hoist it is 20 pounds per foot. How much work is done lifting the bucket to the top of the shaft?

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Question 15

Find the work done when a variable force of  N in the positive x-direction moves an object from x = 4 m to x = 10 m.

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Question 16

A spring whose natural length is 18 inches exerts a force of 7.2 pounds when stretched to 26 inches. How much work is required to stretch the spring 16 inches beyond its natural length?

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Question 17

A conical tank has a diameter of 12 feet and is 30 feet deep. If the tank is filled with water of density 62.4lbs/ft³, how much work is required to pump the water over the top?

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Question 18

Find the work done when a constant force of 50 lb in the positive x direction moves an object from x = -5 to x = 7 ft.

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Question 19

A 0.9-kg object is moving at 9.7 m/s. If a force in the direction of the motion does 15.8 J of work on the object, what is the object's final speed?

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Question 20

Find the work done when a variable force of F(x) = 10x N in the positive x direction moves an object from x = 0 m to x = 4 m.

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