WorksheetsProjectile Motion, Rotary and Centripetal Motion
Total questions: 28
Worksheet time: 2hrs 27mins
An object moves in a circular path at a constant speed. Compare the direction of the object's velocity and acceleration vectors.
Both vectors point in the same direction
the vectors point in opposite directions
the vectors are perpendicular
the question is meaningless, since the acceleration is zero.
When an object experiences uniform circular motion, the direction of the acceleration is:
in the same direction as the velocity vector
in the opposite direction of the velocity vector
is directed toward the center of the circular path
is directed away from the center of its circular path
When an object experiences uniform circular motion, the direction of the net force is
is in the same direction as the motion of the object
in the opposite direction of the motion of the object
is directed toward the center of the circular path
is directed away from the center of the circular path
A pilot executes a vertical dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force on him is
less than mg, and pointing up
less than mg, and pointing down
more than mg, and pointing up
more than mg, and pointing down
A car goes around a curve of radius r at constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the first?
four times as big
twice as big
one-half as big
one-fourth as big
Is it possible for an object moving around a circular path to have both centripetal and tangential acceleration?
No, because then the path would not be a circle.
No, an object can only have one or the other at any given time
Yes, this is possible is the speed is constant.
Yes, this is possible if the speed is changing.
An object moves with constant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of the object?
zero
0.17 m/s2
5.0 m/s2
6.0 m/s2
A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceleration?
0.050 m/s2
1.35 m/s2
48.0 m/s2
198 m/s2
How many revolutions per minute must a circular, rotating space station of radius 1000 m rotate to produce an artificial gravity of 9.80 m/s2?
0.65 rpm
0.75 rpm
0.85 rpm
0.95 rpm
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 sting can withstand is 350 N. What is the maximum speed of the mass if the string is not to break?
700 m/s
26 m/s
19 m/s
13 m/s
The maximum force a pilot can stand is about seven times his weight. What is the maximum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?
4.25 m
3.64 m
1060 m
911 m
A car is negotiating a flat curve of radius 50 m with a speed of 20 m/s. The force provided by friction is 1.2x104 N. What is the mass of the car?
500 kg
1000 kg
1500 kg
2000 kg
A car goes around a flat curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the turn?
0.20
0.40
0.60
0.80
What minimum banking angle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? ( ignore friction )
31o
41o
51o
61o
A curve of radius 80 m is banked at 45o. Suppose that an ice storm hits, and the curve is effectively frictionless. What is the safe speed with which to take the curve without either sliding up or down?
9.4 m/s
28 m/s
780 m/s
the curve cannot be taken safely. ( If this was the real world this would be the correct answer )
A boy and girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?
the boy
the girl
both have the same non-zero angular displacement
both have zero angular displacement
A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speed?
the boy
the girl
both have the same non-zero translational velocity
both have a zero translational velocity
Two forces are applied to a door. The first is applied at the midpoint of the door, the second is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?
the first at the midpoint
the second at the doorknob
both exert non-zero toqures
both exert zero torques
What is the quantity used to measure an object's resistance to changes in rotation?
mass
moment of inertia
torque
angular velocity
If a constant net torque is applied to an object, that object will
rotate with constant angular velocity
rotate with constant angular acceleration
having an increasing moment of inertia
have a decreasing moment of inertia.
How many rad/s is 25 revolutions per minute equivalent to?
0.42 rad/s
2.6 rad/s
160 rad/s
240 rad/s
A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rotation?
0.50 Hz
1.0 Hz
2.0 Hz
4.0 Hz
A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the outer rim move in 2.0 s?
3.1 m
41 m
90 m
180 m
The bolts on a car wheel require tightening to a torque of 90 N*m. If a 30 cm long wrench is used, what is the magnitude of the force required when the force is perpendicular to the wrench?
300 N
150 N
30 N
15 N
A rotating flywheel can be used to store energy. If it is required to store 1.00x106 J of energy when rotating at 400 rad/s, what is the moment of inertia of the wheel in kg*m2?
6.25
12.5
25.0
50.0
A solid sphere of mass 1.0 kg and radius 0.01 m starts from rest and rolls without slipping down a a 1.0 m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plance?
3.7 m/s
4.4 m/s
5.6 m/s
6.3 m/s
A hoop of radius 0.50 m and a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m?
2.2 m/s
3.8 m/s
5.4 m/s
7.7 m/s
A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming to rest
0.071 m
0.71 m
7.1 m
71 m
