Physics Principles and Problems 2009

Chapter 5: Forces in Two Dimensions

Chapter Test Practice

1
What are the components of a vector of magnitude 28.5 km at an angle of 42.0° from the positive x-axis?
A)604 km, 544 km
B)21.2 km, -19.1 km
C)112 km, 91 km
D)21.2 km, 19.1 km
2
Which of the following equations represents the Pythagorean theorem?
A)R2 = A2 - B2
B)R2 = A2 + B2 + 2AB cos ?
C)R2 = A2 + B2 - 2AB cos ?
D)R2 = A2 + B2
3
Find the magnitude of the sum of a 10-m displacement and a 5-m displacement when the angle between them is 45°.
A)11 m
B)9 m
C)7 m
D)14 m
4
A car is driven 724.0 km due north, then 895.0 km due west. What is the magnitude of its displacement?
A)171 km
B)1151 km
C)805 km
D)1619 km
5
A(n) __________ is a vector that is equal to the sum of two or more vectors.
A)resultant
B)graphical representation
C)displacement
D)addition vector
6
To find the magnitude of the resultant vector for two vectors that are at some angle other than 90°, use __________.
A)the Pythagorean theorem
B)R2 = A2 + B2
C)R2 = A2 - B2
D)the Law of Cosines
7
The process of breaking a vector into its components is called __________.
A)trigonometry
B)graphical representation
C)vector resolution
D)reduction
8
Find the magnitude of the sum of a 27-m displacement and a 34-m displacement when the angle between them is 118°.
A)52 m
B)43 m
C)32 m
D)16 m
9
What is the magnitude of your displacement when you follow directions that tell you to walk 150.0 m north, then 25.0 m east?
A)150 m
B)152 m
C)175 m
D)127 m
10
When there is no relative motion between two surfaces, the force exerted by one surface on the other is called __________.
A)resistance
B)the kinetic force
C)kinetic friction force
D)the static friction force
11
A sled of mass 40.0 kg is pulled along flat, snow-covered ground. The static friction coefficient is 0.28, and the kinetic friction coefficient is 0.080. What force is needed to keep the sled moving at a constant velocity?
A)310 N
B)3.2 N
C)31 N
D)3900 N
12
The __________ is the force exerted on one surface by another when the surfaces are in relative motion.
A)apparent weight
B)kinetic friction force
C)kinetic coefficient
D)static friction force
13
A sled of mass 40.0 kg is pulled along flat, snow-covered ground. The static friction coefficient is 0.28, and the kinetic friction coefficient is 0.08. What force will be needed to start the sled moving?
A)110 N
B)31 N
C)147 N
D)392 N
14

In the diagram below, if A's magnitude is 16 N and B's is 25 N, what is the magnitude of C?

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0078807220/617913/lm.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
A)30 N
B)19 N
C)16 N
D)41 N
15
A 75-kg person on skis is going down a hill sloped at 30.0°. The coefficient of kinetic friction between the skis and the snow is 0.15. How fast is the skier going 10.0 s after starting from rest?
A)78 m/s
B)78 m/s2
C)36 m/s2
D)36 m/s
16
A 475-N trunk is resting on a plane inclined 40.0° above the horizontal. Find the components of the weight force parallel and perpendicular to the plane.
A)Fgx = -364 N, Fgy = -305 N
B)Fgx = 364 N, Fgy = 305 N
C)Fgx = 305 N, Fgy = 364 N
D)Fgx = -305 N, Fgy = -364 N
17
A force that produces equilibrium is a(n) __________
A)net force
B)constant
C)equilibrant
D)resultant
18
Two ropes pull on a ring. One exerts a 50.0-N force at 42.0°, the other an 87.0-N force at 70.0°. What is the net force on the ring?
A)133 N at 60.0°
B)100 N at 60.0°
C)133 N at 30.0°
D)100 N at 56.0°
19

If in the diagram below, the skier has mass 45 kg and the slope is at 35°, what is the normal force of the hill on the skier?

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0078807220/617913/ln.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>
A)cannot be determined with the given information
B)440 N
C)250 N
D)360 N
20
Two forces are exerted on an object. A 43-N force acts exactly at 240° and a 67-N force acts at 300°. What are the magnitude and direction of the equilibrant?
A)98 N at 7°
B)98 N at 277°
C)84 N at 97°
D)98 N at 97°
21

In the diagram below, if B's magnitude is 50 N and C's is 30 N, what is the magnitude of A?

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0078807220/617913/lm.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
A)80 N
B)20 N
C)40 N
D)58 N
22
A 175-N sign is supported in a motionless position by two ropes that each make 53.0° angles with the horizontal. What is the tension in the ropes?
A)146 N
B)310 N
C)175 N
D)110 N
Glencoe Online Learning CenterScience HomeProduct InfoSite MapContact Us

The McGraw-Hill CompaniesGlencoe

Please read our Terms of Use and Privacy Policy before you explore our Web site. To report a technical problem with this Web site, please contact the Web Producer.