| 1. | Which of the following diagrams shows the instantaneous velocity v
and centripetal force F for an object in uniform circular motion.
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| 2. | A 1.2 m long pendulum reaches a speed of 4.0 m/s at the bottom of its
swing.
![]() What is the tension in the string at this position?
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| 3. | A 1200 kg car rounds a flat circular section of road at 20 m/s as shown
in the diagram.
![]() The coefficient of friction between the car tires and the road surface
is 0.65. What minimum friction force is required for the car to follow
this curve?
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| 4. | A 65 kg student is in a car travelling at 25 m/s on a hill of radius
110 m. When the car is at the top of the hill, what upward force does the
seat exert on the student?
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| 5. | An object attached to a rotating table is moving in a circular path
with a constant speed.
![]() Which is the correct free body diagram for the object?
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| 6. | An object travels with a constant speed in a circular path. The net
force on the object is
A. zero. B. towards the centre. C. away from the centre. D. tangent to the object's path. |
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| 7. | A car moving in a circular path with a constant speed has
A. no acceleration. B. outward acceleration. C. tangential acceleration. D. centripetal acceleration. |
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| 8. | A person is moving at constant speed in a vertical circular path.
![]() Which is the correct free body diagram for the person while passing through the lowest point?
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| 9. | A 61 kg skateboarder is moving down a ramp with
a 7.0 m radius of curvature. At the bottom of this ramp he reaches a speed
of 7.8 m/s.
![]() What upward force acts on the skateboarder at the bottom of the ramp?
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| 10. | A 9.0 × 10 -3 kg ball is attached
to a 3.6 × 10 -2 kg mass M by a string
that passes through a hole in a horizontal frictionless surface. The ball
travels in a circular path of radius 0.35 m.
![]() What is the speed of the ball?
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| 11. | Hans, whose mass is 50 kg, rides on a ferris
wheel in a circular path at constant speed. When he is at the top of the
wheel, the seat exerts an upward force of 420 N on Hans.
![]() What is the centripetal force on Hans at the top of the wheel?
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| 12. | A 1.2 kg mass on the end of a string is rotated in a vertical circle
of radius 0.85 m.
![]() If the speed of the mass at the top of the circle is 3.6 m/s, what is
the tension in the string at this location?
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| 13. | An object of mass m is on a horizontal rotating platform. The
mass is located 0.22 m from the axle and makes one revolution every 0.74
s.
![]() The friction force needed to keep the mass from sliding is 13 N. What
is the object's mass?
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| 14. | A bus of weight g is moving at a constant speed over over a hill and
dip that have the same radius of curvature.
![]() When the bus is passing over the crest of the hill, the road exerts
a normal force on the bus equal to three quarters of the bus's weight (3/4
Fg) . What is the normal force the road
exerts on the bus when the bus is passing through the bottom of the dip?
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| 15. | A child is riding on a merry-go-round which is rotating at a constant
rate. Which of the following describes the child's speed, velocity, and
magnitude of acceleration?
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| 16. | A 3.5 kg object is suspended by a string and moves in a horizontal
circle of radius 0.60 m. The tension in the string is 36 N.
![]() a) What is the magnitude of the net force on the object? (3 marks) b) What is the period of revolution of the object? (4 marks) |
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| 17. | A 6.1 kg object on the end of a massless connecting rod moves in uniform
circular motion in a vertical circle with radius 1.2 m. The period of revolution
is 0.80 s.
![]() a) Calculate the tension in the connecting rod at this position. (7 marks) |
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