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Calc 2 7.5

 

<== Calculus 2
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 foot-pounds
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
cross-section 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 foot-pounds 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