Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Draw a vector representing the velocity.
20 mph due north
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2.
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Draw a vector representing the velocity. 40 ft/min S  E
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3.
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Two planes take off at the same time from an airport. The first plane is flying
at 250 miles per hour on a bearing of S  E. The second plane is flying in the direction S
 W at 280 miles per hour. If there are no wind currents blowing, how far apart are they
after 3 hours? What is the bearing of the second plane from the first after 3 hours? a. | 1,126 miles, S W | b. | 980 miles, N
W | c. | 1,126 miles, N W | d. | 980 miles, N
W | e. | 922 miles, S W |
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4.
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A ship is  off course. If the ship is traveling at 13 miles
per hour, how far off course will it be after 2 hours? a. | 1.1 mi | b. | 0.7 mi | c. | 1.0
mi | d. | 0.5 mi | e. | 0.8 mi |
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5.
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Vector V with magnitude | V | forms an angle with the positive
x-axis. Give the magnitude of the horizontal and vertical vector components of V,
namely  and  , respectively. 
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6.
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Given the magnitude of the horizontal and vertical vector components  and  of vector V, find the magnitude of
V. 
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7.
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The horizontal and vertical components of the velocity of an arrow shot into the
air are 19.0 feet per second and 24.0 feet per second, respectively. Find the velocity of the
arrow.
a. | 43.9 ft/sec | b. | 27.9 ft/sec | c. | 39
ft/sec | d. | 35.2 ft/sec | e. | 30.6 ft/sec |
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8.
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A 10-pound weight is lying on a sit-up bench at the gym. If the bench is
inclined at an angle of  , there are three forces acting on the weight, as
shown in Figure. N is called the normal force and it acts in the direction perpendicular to
the bench. F is the force due to friction that holds the weight on the bench. If the weight
does not move, then the sum of these three forces is 0. Find the magnitude of N and the
magnitude of F.  a. | |N| = 10.9 lb, |F| = 5.2 lb | b. | |N| = 14.2
lb, |F| = 2.8 lb | c. | |N| = 14.2 lb, |F| = 3.5
lb | d. | |N| = 9.6 lb, |F| = 2.8 lb | e. | |N| = 9.6 lb,
|F| = 3.5 lb |
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9.
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A package is pushed across a floor for a distance of 20 feet by exerting a force
of 65 pounds downward at an angle of  with the horizontal. How much work is
done? a. | 1,200 | b. | 1,100 | c. | 1,000 | d. | 1,300 | e. | 900 |
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10.
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Mark pulls Allison and Mattie in a wagon by exerting a force of 40 pounds on the
handle at an angle of  with the horizontal. How much work is done by
Mark in pulling the wagon 250 feet?  a. | 8,500 | b. | 8,300 | c. | 8,000 | d. | 8,700 | e. | 8,400 |
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