A4 8. A roller coaster car is at the lowest point on its circular track. The radius of curvature is 22 m. The apparent weight of one of the passengers is 3.0 times her true weight (i.e. FN = 3Fg ). Determine the speed of the roller coaster. 9. What angle of banking would allow a vehicle to move around a curve with a radius of curvature \"r" at a speed \"\AA 1. A child rides a carousel with a radius of 5.1 m that rotates with a constant speed of 2.2 m/s. Calculate the magnitude of the centripetal acceleration of the child. 2. Explain how the following formulas are derived? _4r Q T2 & ac=4n% 3. A salad spinner with a radius of 9.7 cm rotates clockwise with a frequency of 12 Hz. At a given instant, a piece of lettuce is moving in the westward direction. Determine the magnitude and direction of the centripetal acceleration of the lettuce in the spinner at the moment shown. x" x f K I' 1' _ _ l . l direction\" .L I" MMm\\h f%_j m'j if lanai: 4. The centripetal acceleration at the end of a fan blade is 1750 mfsz. The distance between the tip of the fan blade and the centre is 12.0 cm. Calculate the frequency and the period of rotation of the fan. 5. Suppose an astronaut in deep space twirls a yo-yo on a string. a. What type of force causes the yo-yo to travel in a circle? b. What will happen if the string breaks? 6. A car with a mass of 2200 kg is rounding a curve on a level road. lfthe radius of the curvature of the road is 52 m and the coefcient of friction between the tires and the road is 0.70, what is the maximum speed at which the car can make the curve without skidding off the road? 9|) I'D Two sleds are tied together and pulled east across an icy surface with an applied force of 120 N[E]. The mass of sled 1 is 12 kg and the mass of sled 2 is 8.0 kg. Assume that no friction acts on the sleds. a. Determine the acceleration of the sleds. b. Calculate the magnitude of the tension in the rope. 2. Two objects (m1 = 8.5 kg and m2 = 17 kg) are connected as shown. KI ._ J" H3 lug, m1 I111 1'? kg a. Draw a FBD of the situation with the directions reassigned. b. What is the acceleration of the masses? c. What is the tension in the rope? 3. Two objects (m1 = 1.5 kg and m2 = 0.70 kg) are connected as shown. Assume object 1 slides without friction. E1 3. 1.5\" LP, \")2 (Li m f) 1113 i- 0700 1-13 a. Draw a FBD of the situation with the directions reassigned. b. What is the acceleration of the masses? 0. What is the tension in the rope? 4. Two blocks (m1 = 3.8 kg and m2 = 4.2 kg) are connected by a massless string that passes over a frictionless pulley. a. What is the acceleration of the masses? b. What is the tension in the rope? A2 5. Two blocks (m1 = 45 kg and m2 = 12 kg) are connected by a massless string that passes over a frictionless pulley. a. What is the acceleration of the masses? b. What is the tension in the rope? 6' Blocks A and B are connected by a string passing overan essentially friction- less pulley, as in Figure 6. When the blocks are in motion, BlockA experiences a force of kinetic friction of magnitude 5.7 N. If top, = 2.7 kg and m3 = 3.7 kg, calculate the magnitude of (a) the acceleration of the blocks (b) the tension in the string You are playing with a yo-yo with a mass of 225 g. The full length of the string is 1.2 m. a. Calculate the minimum speed at which you can swing the yo-yo while keeping it on a circular path. b. At the speed just determined, what is the tension in the string at the bottom of the swing