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Uniform Circular Motion
Quiz 1
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Q.1
How many radians does a circle have?
360 degrees
2π radians
π radians
2 radians
Q.2
When an object experiences uniform circular motion, the direction of the acceleration is A) in the same direction as the velocity vector. B) in the opposite direction of the velocity vector. C) is directed toward the center of the circular path. D) is directed away from the center of the circular path.
A
B
C
D
Q.3
A rubber stopper on the end of string is swung steadily in a horizontal circle. In one trial, it moves at speed v in a circle of radius r. In a second trial, it moves at a higher speedin a circle of radius 3r. In the second trial the acceleration is
the same as in the first trial
three times larger
one-third as large
nine times larger
One-ninth as large.
Q.4
Convert π/4 radians to degrees
90⁰
45⁰
60⁰
30⁰
Q.5
Determine the angular velocity in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.
360π rad/min
12π rad/min
360 rad/min
720π rad/min
Q.6
A ceiling fan withinch blades rotates atrpm. Find the angular velocity of the fan in rad/min. Round to the nearest tenth.
90 rad/min
282.7 rad/min
45 rad/min
141.4
Q.7
A horse gallops around a circular arena. The centripetal force on the horse is ___.
directed outward
tension
directed toward the center of the arena
9.8 N
Q.8
Which one of the following statements concerning the two “gravitational constants” G, the universal constant, and g the magnitude of the acceleration due to the gravity is true?
The value for G and g do not depend on location.
The value of G is the same everywhere in the universe, but the value of g is not.
The value of G and g are equal on the surface of any planet, but in general, vary with location in the universe.
Q.9
A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand isN. What is the maximum speed of the mass if the string is not to break? A)m/s B)m/s C)m/s D)m/s
A
B
C
D
Q.10
Two masses m and M are separated by a distance d. If the distance between the masses is increased to 3d, how does the gravitational force between them change?
becomes 1/3 as great
1/9 as great
3x greater
9x greater
Q.11
The velocity is always _____ to the line of a circle.
outwards
towards the center
tangent
faster
Q.12
What type of acceleration does an object moving with constant speed in a circular path experience? A) free fall B) constant acceleration C) linear acceleration D) centripetal acceleration
A
B
C
D
Q.13
An object moves in a circular path at a constant speed. Compare the direction of the object's velocity and acceleration vectors. A) Both vectors point in the same direction. B) The vectors point in opposite directions. C) The vectors are perpendicular. D) The question is meaningless, since the acceleration is zero
A
B
C
D
Q.14
Is it possible for an object moving with a constant speed to accelerate? Explain. A) No, if the speed is constant then the acceleration is equal to zero. B) No, an object can accelerate only if there is a net force acting on it. C) Yes, although the speed is constant, the direction of the velocity can be changing. D) Yes, if an object is moving it can experience acceleration
A
B
C
D
Q.15
An object moves with a constant speed ofm/s on a circular track of radiusm. What is the magnitude of the acceleration of the object? A) zero B) 0.m/s C) 5.0 m/sD) 6.0 m/s2
A
B
C
D
Q.16
An object moves in a circle. The net force is 5.0 N. If the student doubles the speed, what force is needed? ΣFnet = mv2r\Sigma F_{net}\ =\ \frac{mv^2}{r}ΣFnet = rmv2
2.5 N
5.0 N
10.0 N
20.0 N
Q.17
A 3.0 N centripetal force acts on a toy car, if the car's mass is doubled then the force is... ΣFnet = mv2r\Sigma F_{net}\ =\ \frac{mv^2}{r}ΣFnet = rmv2
3.0 N
6.0 N
9.0 N
1.5 N
Q.18
If a ball is swinging at the end of a rope and the rope is suddenly cut, assuming there is no gravity, what best describes the path it will take?
It will fly in a straight line forward from where it was cut
It will fly in a curved line away from the circle
It will fly inward toward the circle
None of these
Q.19
Which is true about centripetal force and centripetal acceleration?
The centripetal acceleration is always pointing toward the center of an orbit and the centripetal force is always pointing outward
The centripetal acceleration is always pointing outward from the center of an orbit and the centripetal force is always pointing inward
The centripetal acceleration is always pointing toward the center of an orbit and the centripetal force also pointing toward the center but in a totally different location
The centripetal acceleration is always pointing toward the center of an orbit and the centripetal force also pointing toward the center and in the same exact location as the centripetal acceleration
Q.20
A specific vehicle can go around a curve with a radius ofm with a maximum speed ofm/s without sliding off the road. To have the same acceleration, at what maximum speed can the same vehicle go around a curve having a radius ofm?
64 m/s
45 m/s
32 m/s
23 m/s
16 m/s
0 h : 0 m : 1 s
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