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American System Physics

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5.0 Displacement and Force in Two Dimensions: Vectors, Friction and Inclined Planes – Check yourself

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Displacement and Force in Two Dimensions American Physics check yourself quiz: free practice for American System Physics. Work through this Displacement and Force in Two Dimensions American Physics check yourself 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.

1.
On a 30° incline, component of weight along the slope
mg
0.5 mg
0.87 mg
0
2.
Which statement best describes Equilibrant?
Force equal and opposite to the resultant, producing equilibrium.
A tilted surface; weight splits into components parallel and perpendicular.
Prevents motion; Ff ≤ μsFN.
Ff = μkFN for sliding surfaces.
3.
A 25 kg crate rests on a 35° ramp. What is the normal force from the ramp?
201 N
141 N
245 N
20.5 N
4.
A block slides down a 24° slope at constant velocity. What is μk between block and slope?
0.407
0.445
0.914
2.25
5.
Using the data in the table, what is the acceleration of the toboggan sliding down the hill?
3.35 m/s²
3.81 m/s²
2.89 m/s²
9.21 m/s²
6.
Which red arrow in the diagram could be the equilibrant of the two blue forces, and what is its magnitude?
Dr Dabour Hub Academy - figure 1
Y, 37 N
X, 47 N
Z, 23 N
X, 37 N
7.
A block is held at rest by friction on the 35° slope shown. Which arrow is the weight of the block?
Dr Dabour Hub Academy - figure 2
A
D
B
C
8.
The block in the diagram is released and slides down. Using the mass, angle and μk shown, find the friction force on it.
Dr Dabour Hub Academy - figure 3
23.5 N
11.8 N
20.4 N
58.8 N
9.
A bird feeder hangs from two equal wires as shown. What is the tension in each wire?
Dr Dabour Hub Academy - figure 4
39.2 N
43.3 N
78.4 N
92.8 N
10.
Using the expressions in the table, what is the sliding friction on a 6.0 kg box on a 40° slope with μk = 0.35?
13.2 N
20.6 N
15.8 N
45.0 N
11.
The force equal and opposite to the resultant, producing equilibrium, is the _____.
component
normal force
equilibrant
tension
12.
On an inclined plane, the normal force equals mg. True or false?
False, because with no other perpendicular forces it equals mg cosθ, which is less than mg
True
True only when the slope is rough
False, because the normal force is zero on slopes
13.
On a frictionless 30° slope, the weight component down the slope is half of the weight. True or false?
False, because it equals the full weight
True
False, because it is 0.87 of the weight
True only when the block is light
14.
An object slides at constant velocity down a slope when mg sinθ = μk mg cosθ. True or false?
False, because it would accelerate
False, because friction must be zero
True
True only when the slope is steep
15.
Equilibrium in two dimensions requires ΣFx = 0 and ΣFy = 0. True or false?
False, because only ΣFx must be zero
False, because only the largest force must be balanced
True only when the object is at rest
True
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