Calc1 i need the exact answer and only the final answer

math_1.docx

Home >Mathematics homework help >Calc1 i need the exact answer and only the final answer

1-The force on a particle is described by 5 x^3 - 1 at a point along the -axis. Find the work done in moving the particle from the origin to x = 7 .

2-A force of pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.8 feet beyond its natural length?

3-A trough is 7 feet long and 1 foot high. The vertical cross-sections of the trough parallel to its ends are shaped like the graph of $y=x^{8}$ from x=-1 to x=1 . The trough is completely filled with water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62.5 pounds per cubic foot. Work = ft-lb

4-A trough is 18 feet long and 7 foot high. The vertical cross-sections of the trough parallel to its ends are right triangles with a vertical side of height 7 feet and a horizontal side of width 4 feet along the top. The trough is completely filled with water. Find the amount of work in foot-pounds required to empty the trough by pumping the water to a level 5 feet above the top of the trough. Note: The weight of water is 62.5 pounds per cubic foot. Work = ft-lb

5-A circular swimming pool has a diameter of m. The sides are m high and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is $9.8 \ \textrm{m}/ \textrm{sec}^2$ and the density of water is $1000 \ \textrm{kg} / \textrm{m}^3$ .) Answer: Joules

6-A 10-ft chain weighs 30 lb and hangs from a ceiling. Find the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end. Work = ft-lb

7-A chain lying on the ground is 10 meters long and its mass is 94 kilograms. The chain is threaded through a pulley, which is fixed to the ground, and pulled directly up so that it forms the shape of an L. How much work is required to raise one end of the chain to a height of 5 meters? Use that the acceleration due to gravity is 9.8 m/s^2 . You may assume that the chain slides effortlessly and without friction along the ground as its end is lifted. Your answer must include the correct units. Work =