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American System Physics

A Physics Toolkit

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Representing Motion

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Accelerated Motion

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Forces in One Dimension

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Displacement and Force in Two Dimensions

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Motion in Two Dimensions

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Gravitation

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Rotational Motion

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Momentum and Its Conservation

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Energy and Its Conservation

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Thermal Energy

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States of Matter

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Vibrations and Waves

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Sound

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Fundamentals of Light

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Reflection and Refraction

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Interference and Diffraction

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Electrostatics

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Electric Current and Circuits

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Magnetic Fields

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Electromagnetic Induction and Electromagnetism

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Quantum Theory and the Atom

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Solid-State Electronics

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Nuclear and Particle Physics

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Quiz

5.3 Forces in Two Dimensions – Quiz

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Forces in Two Dimensions American Physics quiz: free practice for American System Physics. Work through this Forces in Two Dimensions American Physics quiz and get instant feedback on every answer. If you get stuck, review the 5.3 Forces in Two Dimensions — Notes lesson. More practice: American System Physics — all units. Syllabus: OpenStax free science textbooks.

  • Questions count: 50
  • Passing grade: A-
  • Time limit:
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1.
A 15 kg suitcase rests on an airport ramp tilted at 20°. What component of its weight acts down the ramp?
50.3 N
138 N
147 N
5.13 N
2.
A 70 kg skier stands still on a 12° slope. What normal force does the snow exert?
143 N
671 N
686 N
68.5 N
3.
A skateboarder rolls down a smooth 8.0° ramp with negligible friction. What is her acceleration along the ramp?
9.70 m/s²
9.80 m/s²
1.36 m/s²
1.38 m/s²
4.
A 3.0 kg box slides down a 35° chute with μk = 0.25. What is its acceleration?
5.62 m/s²
7.63 m/s²
3.17 m/s²
3.61 m/s²
5.
The table gives the tilt angle at which each object just began to slip on a book cover. What is μs for the eraser?
0.781
0.616
0.384
0.422
6.
A child slides down a playground slide inclined at 28° at constant velocity. What is μk between clothes and slide?
0.469
0.532
0.883
1.88
7.
Movers push a 40 kg crate up a 15° loading ramp at constant speed with a force parallel to the ramp. If μk = 0.30, how large is the push?
-12.1 N
101 N
215 N
118 N
8.
Why is it convenient to choose x along the slope and y perpendicular to it for a block on an incline?
It makes the weight act along the slope only
It removes friction from the problem
It makes the normal force equal to mg
The acceleration lies along one axis and only the weight has to be resolved
9.
What does ΣFy = 0 perpendicular to the slope allow you to calculate for a block sliding on an incline?
The normal force
The acceleration down the slope
The coefficient of friction directly
The mass of the block
10.
An object is described as being in equilibrium. Which statement must be true?
It must be at rest
The resultant force on it is zero, so its velocity is constant
No forces act on it
Only two forces act on it
11.
Forces of 6 N east and 8 N north act on a ring. Which force is the equilibrant?
10 N at 53.1° north of east
14 N at 53.1° south of west
10 N at 53.1° south of west
10 N at 36.9° south of west
12.
A block rests on the 30° slope shown. Which labelled arrow represents the normal force on the block?
Dr Dabour Hub Academy - figure 1
B
C
D
A
13.
The block in the diagram is at rest on a rough 25° slope. Which arrow shows the static friction force on it?
Dr Dabour Hub Academy - figure 2
A
B
C
D
14.
For the block shown on the smooth ramp (mass and angle on the diagram), what is the component of weight pressing into the ramp?
Dr Dabour Hub Academy - figure 3
66.1 N
164 N
176 N
16.7 N
15.
The diagram shows a cart released from rest on a frictionless incline. How fast is it moving after 1.5 s?
Dr Dabour Hub Academy - figure 4
14.7 m/s
11.3 m/s
9.45 m/s
6.30 m/s
16.
A lantern hangs from two identical cords as shown. What is the tension in each cord?
Dr Dabour Hub Academy - figure 5
24.5 N
29.9 N
49.0 N
42.7 N
17.
Compare this diagram (cords at 10°) with a lantern hung by steeper cords. Why is the cord tension here much larger than the lantern's weight?
Dr Dabour Hub Academy - figure 6
Each cord's small vertical component must support half the weight, so the tension must be large
Shallow cords reduce the lantern's weight
The horizontal components add to the weight
Tension does not depend on angle
18.
The three forces on a knot are drawn tip-to-tail in the diagram. What can be concluded?
Dr Dabour Hub Academy - figure 7
F3 is the resultant of F1 and F2
The triangle is closed, so the resultant is zero and the knot is in equilibrium
The knot accelerates in the direction of F3
The forces cannot all act on one point
19.
A worker pushes the 50 kg roller as shown. What normal force does the ground exert?
Dr Dabour Hub Academy - figure 8
490 N
390 N
590 N
663 N
20.
Two climbing ropes pull on a harness with the tensions and angle shown (each 30° above the horizontal). What is the vertical component of their resultant?
Dr Dabour Hub Academy - figure 9
80.0 N
69.3 N
60.0 N
40.0 N
21.
A trolley was released on a ramp at various angles (graph). How do the results compare with the frictionless prediction a = g sinθ?
Dr Dabour Hub Academy - figure 10
The points lie slightly below the line, suggesting a small friction or air-resistance effect
They lie exactly on the line, proving there is no friction
They show a is proportional to θ, not sinθ
They lie far above the line, so g must be larger
22.
Using the table, what happens to a block on a frictionless incline as θ approaches 90°?
The normal force rises to mg
The normal force falls to zero and the acceleration approaches g (free fall)
The acceleration falls to zero
The block stops sliding
23.
Using the table, what fraction of an object's weight acts down a 30° frictionless slope?
0.870
1.00
0.500
0.250
24.
Complete the table for the box at rest. What are the normal force and the friction force?
FN = 98 N; friction = 49 N down the slope
FN = 49 N; friction = 84.9 N up the slope
FN = 84.9 N; friction = 0
FN = 84.9 N; friction = 49 N up the slope
25.
A student tilts a board until a block slips and records the angle (table). Which result should be excluded before averaging?
Trial 5
Trial 1
Trial 2
Trial 3
26.
Excluding the anomaly in the table, what is the coefficient of static friction?
0.508
0.589
0.649
0.862
27.
Using the measurements in the table, what is the ramp angle?
17.4 °
71.8 °
18.2 °
28.1 °
28.
What is the percentage uncertainty in the height measurement in the table?
0.250 %
2.50 %
0.00800 %
0.800 %
29.
Which method would best test whether the acceleration of a trolley down a ramp depends on its mass?
Keep the angle and ramp surface fixed, add different masses to the trolley and measure a with light gates
Change the angle and mass together
Use different ramps for each mass
Time with a stopwatch from different starting points
30.
The steepest angle at which an object remains at rest on a slope is the angle of _____.
reflection
incidence
repose
elevation
31.
Three forces in equilibrium drawn tip-to-tail form a closed _____.
circle
parallelogram
straight line
triangle
32.
A flat surface tilted at an angle θ to the horizontal is called an _____ plane.
inclined
equilibrium
normal
tangent
33.
For a block on a slope, the axes are usually chosen with x _____ to the slope.
perpendicular
parallel
vertical
horizontal
34.
The component of weight acting down a slope is mg cosθ. True or false?
True
False, because it is mg sinθ; mg cosθ acts into the slope
True only when θ = 45°
False, because weight has no component along a slope
35.
On a frictionless ramp, a loaded trolley accelerates faster than an empty one. True or false?
True
True only when the ramp is steep
False, because a = g sinθ does not depend on mass
False, because heavy trolleys cannot move
36.
An equilibrant has the same magnitude as the resultant but the opposite direction. True or false?
False, because it has twice the magnitude
False, because it points the same way
True only when there are only two forces
True
37.
An aircraft cruising at constant velocity is in equilibrium. True or false?
True
False, because equilibrium requires being at rest
False, because moving objects always have a net force
True only when it flies level
38.
When three forces keep an object in equilibrium, each force equals the equilibrant of the other two. True or false?
False, because only the largest force balances
True
False, because three forces cannot balance
True only when the forces are equal
39.
The normal force on a block on a 20° slope is larger than its weight. True or false?
True
True only when the block slides
False, because FN = mg cos20° is less than mg
False, because normal force is always zero on slopes
40.
A block will stay at rest on any slope for which tanθ is less than μs. True or false?
False, because blocks always slide on slopes
False, because it depends on the mass of the block
True only when the block is heavy
True
41.
Making a slope steeper increases the maximum static friction available to a resting block. True or false?
False, because μs mg cosθ falls as θ increases
True
True only when μs is large
False, because maximum friction is independent of angle
42.
For a flat surface (θ = 0°) there is no component of weight along the surface. True or false?
False, because half the weight acts along it
True
False, because the normal force is zero
True only when the surface is rough
43.
The weight component down a 45° slope equals the component into the slope. True or false?
False, because sin45° is twice cos45°
False, because the components are never equal
True
True only when the slope is frictionless
44.
Tension in a rope pulling at an angle has both horizontal and vertical components. True or false?
False, because tension only acts vertically
False, because ropes cannot be resolved
True only when the rope is short
True
45.
A picture hanging from two wires at 60° to the horizontal has each wire tension less than its weight. True or false?
True
False, because each tension is exactly equal to the weight
False, because tension must exceed the weight
True only when the picture is light
46.
For a 2.0 kg block on a frictionless 30° slope the acceleration is 4.9 m/s². True or false?
False, because a = g = 9.8 m/s²
True
False, because a = g cos30° = 8.5 m/s²
True only when the block is pushed
47.
When finding the angle of repose, tilting the board quickly gives a more reliable angle than raising it slowly. True or false?
True
True only when the block is steel
False, because raising slowly lets you catch the angle at which static friction just reaches its maximum
False, because speed of tilting has no effect
48.
Using light gates to time a trolley on a ramp reduces random timing error compared with a hand-held stopwatch. True or false?
False, because stopwatches are more precise
False, because light gates add reaction time
True only when the ramp is long
True
49.
Plotting a against sinθ for a trolley on a ramp should give a straight line through the origin with gradient close to g. True or false?
True
False, because the gradient should be 1
False, because the graph should be a curve
True only when the trolley is heavy
50.
In a tilting-board experiment, the angle is the dependent variable and the block surface is a control variable. True or false?
False, because the angle is the control variable
True
False, because the block surface is the dependent variable
True only when the board is wooden
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