Number 
Question 
Answer 
See the work 
1.

When a particle is located a distance x meters from the origin, a force of cos(πx/5) newtons acts on it. Find the work done in moving the particle from
x= 2 to x= 2.5 ________ Find the work done in moving the particle from x=2.5 to x=3 ____________ Find the work done in moving the particle from x= 2 to x= 3 ___________

x= 2 to x= 2.5 = 0.077895974
x=2.5 to x=3
= 0.077895974
x= 2 to x=3
= 0 
The work
Point Cost: 2 
2.

A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work is done in stretching the spring from its natural length to 1 feet beyond its natural
length?

2.5 footpounds 
The work
Point Cost: 3 
3.

there is a work of 3 Joules done in stretching a spring from its natural length to 13 cm beyond its natural length. What is the force in N that holds the spring stretched at the same distance?

46.1538461538462 N

The work
Point Cost: 3 
4.

A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the water is 2.5 m. acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3. How much work in J is required to: (a) pump all of the water over the side? (b) pump all of the water out of an outlet 1 m over the side?

a. 5291620.12589 b. 7215845.6262

The work
Point Cost: 2 
5.

A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is density = 1470kg/m^3

25818168.7942461 
The work
Point Cost: 2 
6.

A trough is 4 feet long and 1 foot high. The vertical crosssection of the trough parallel to an end is shaped like the graph of y= x^2 from x= 1 to x= 1 . The trough is full of water. Find the amount of work in footpounds required to empty the trough by pumping the water over the top. The weight of water is 62 pounds per cubic foot.

1984/15 
The work
Point Cost: 2 