Chapter 7 Review Part2



1.
Find the arc length of the graph of the function over the interval [1,2].
A.
B.
C.
D.
E.
None of the above


2.
Find the arc length of the graph of the function over the interval .
A.
B.
C.
D.
E.


3.
A force of 9 pounds compresses a 20-inch spring 6 inches. How much work is done in compressing the spring from a length of 13 inches to a length of 9 inches?
A.
54 ftlb
B.
59 ftlb
C.
64 ftlb
D.
56 ftlb
E.
49 ftlb


4.
Neglecting air resistance and the weight of the propellant, determine the work done in propelling a 10-ton satellite to a height of

(i) 150 miles above Earth

(ii) 350 miles above Earth

Assume that Earth has a radius of 4000 miles.
A.
(i) 867.47 miton; (ii) 1,931.03 miton
B.
(i) 2,168.67 miton; (ii) 4,827.59 miton
C.
(i) 1,156.63 miton; (ii) 2,574.71 miton
D.
(i) 1,445.78 miton; (ii) 3,218.39 miton
E.
None of the above


5.
An open tank has the shape of a right circular cone. The tank is 6 feet across the top and 5 feet high. How much work is done in emptying the tank by pumping the water over the top edge? Note: The density of water is 62.4 lbs per cubic foot.
A.
1,170ftlb
B.
1,755 ftlb
C.
936 ftlb
D.
702 ftlb
E.
2,106 ftlb


6.
Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. Note: The density of water is 62.4 lbs per cubic foot.

A.
249.6 lb
B.
2,340 lb
C.
468 lb
D.
1,404 lb
E.
62.4 lb


7.
A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank if the tank is half full, assuming that the diameter is 9 feet and the gasoline weighs 42 pounds per cubic foot.
A.
2,551.5 lb
B.
1,275.75 lb
C.
5,103 lb
D.
10,206 lb
E.
20,412 lb



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