1. In which situation is an object undergoing centripetal acceleration? (C) a car accelerating on a drag strip (D) a hockey puck gliding on ice

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1 Physics 3204 Assignment 2.1 UCM DUE: Thursday Nov 24, 2017 Name: Part A. Multiple Choice: Select the best possible answer. Place the answer on the answer sheet. 1. In which situation is an object undergoing centripetal acceleration? (A) a car going around a curve (B) a cent tripped by petals of a flower (C) a car accelerating on a drag strip (D) a hockey puck gliding on ice 2. What does UCM mean? A) uniform centripetal motion B) uniform circular motion C) uniform central mass D) United Centripetal Motion 3. In an amusement park ride, a large cylinder is set in rotation. The floor then drops away leaving the riders suspended against the wall in a vertical position as shown below. What provides the centripetal force for the rider? (A) (B) (C) (D) friction of rider and wall normal force of wall on rider s back force of rider against the wall force of gravity 4. What factor change in centripetal force will result if an object doubles its speed without changing the radius of its turn? (A) increase by 2 (B) increase by 4 (C) decrease by 2 (D) decrease by 4 5. A phonograph record spins at 45 revolutions per minute. Determine the speed of a point that is 15 cm from the centre. (A) 0.71 cm/s (B) 71 cm/s (C) 5.0 x 10 3 cm/s (D) cm/s Nov 2017 Page 1

2 6. The diagram below shows a ball on the end of a string moving at a constant speed in a horizontal circle. A target (Mr. Sanders) is located near the path of the ball as shown. At which point should the ball be released in order to hit the target? (A) A (B) B (C) C (D) D 7. What is the direction of the velocity at point P if the object shown moves uniformly in a horizontal circle? (A) A (B) B (C) C (D) D 8. A car rounds a horizontal curve with a speed of 15 m/s. If it is traveling with a speed such that it just barely avoids slipping on the road, where does the centripetal force come from? (A) force of static friction between the tires and the road (B) force of kinetic friction between the tires and the road (C) force of the engine (D) gravity 9. Which best describes the direction of the centripetal acceleration of an object in uniform circular motion? (A) In the direction of motion (B) Inward toward the centre of the circle (C) Opposite the direction of motion (D) Outward from the centre of the circle Nov 2017 Page 2

3 10. What is the maximum speed a car can travel along a level circular path, as shown below, if the coefficient of friction is 0.26 and the radius of the curve is 150 m? (A) 4.4 m/s (B) 6.2 m/s (C) 14 m/s (D) 20. m/s 11. A roller coaster car of mass, m, is on a track that forms a circular loop of radius r in a vertical plane. If the car is to just maintain contact with the track, what expression represents the minimum speed at the top of the loop? (A) rg (B) rg (C) rmg (D) rmg 12. A 25.0 kg girl is spinning around at 1.25 m/s on a merry-go-round with a radius of 2.39 m. What is the centripetal force on the girl? (A) 13.1 N (B) 16.3 N (C) 32.5 N (D) 47.8 N Nov 2017 Page 3

4 Part B. SHOW ALL NECESSARY WORK. 14. How fast must a pilot fly in a loop-the-loop stunt of radius 50. m if the pilot experiences no force (weightless) when he is at the top of the loop? To be considered "weightless," all forces on the pilot must be in balance, or the gravitational force must be entirely used up in providing the centripetal force. 15. Give one situation that you have personally experienced that involves circular motion. Reflect and comment on this example. (Describe where the centripetal force comes from) [2] Nov 2017 Page 4

5 16. How can a motion with constant speed be an accelerated motion? [1] 17. A string used to make a pendulum has a breaking strength of 15.0 N and a length of 1.80 m. A 1.00 kg mass is used as a bob and set in motion. What is the critical speed (the highest speed at the bottom of the arc so that the string does not break)? 18. A ball on the end of a string is revolved in a vertical circle at a uniform rate. The radius of the circle is 42.0 cm. If the speed of the ball is 13.0 m/s at the top of the swing, and the mass of the ball is kg, what is the tension in the string at this point? Draw a free body diagram Nov 2017 Page 5

6 19. In a washing machine, during the spin cycle, the clothes are pressed against the inside of the vertical wall of a rotating drum 0.35 m in radius that has a period of 0.25 s about a vertical axis. A) Viewed from a stationary frame of reference outside the drum, what is the magnitude and direction of the force of the wall on a pair of jeans that weighs 1.2 kg. [2] B) If the coefficient of static friction between the jeans and the wall is 0.2, will the jeans to the base of the drum? Justify your answer. Bonus: What is the friction force acting on the jeans. (Magnitude and direction) [2] Nov 2017 Page 6

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