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Can you please answer number 8. Tysm❤️

6. The hard disk in a laptop computer contains a small disk that rotates at a rate of 5000 rpm. If this disk has a radius of 2.0 cm, what is the centripetal acceleration of a point at the edge of the disk? 7. The Daytona 500 stock car race is held on a track that is approximately 2.5 mi long, and the turns are banked at an angle of 31°. It is currently possible for cars to travel through the turns at a speed of about 180 mi/h. Assuming these cars are on the verge of slipping into the outer wall of the racetrack, find the coefficient of static friction between the tires and the track. 8. Consider the motion of a rock tied to a string of length 0.50 m. The string is spun so that the rock travels in a vertical circle as shown in Figure B. The mass of the rock is 1.5 kg, and it is twirling at constant speed with a period of 0.33 s. 1.5 kg r = 0.50 m (a) Draw free-body diagrams for the rock when it is at the top and when it is at the bottom of the circle. Your diagrams should include the tension in the string, but the value of T is not yet known. Figure B (b) What is the total force on the rock directed toward the center of the circle? (c) Find the tension in the string when the rock is at the top and when it is at the bottom of the circle. 9. A roller-coaster track is designed so that the car travels upside down on a certain portion of the track as shown in Figure C. What is the minimum speed the roller coaster can have without falling from the track? Assume the track has a radius of curvature of 30 m. Figure C 10. A coin is sitting on a record as sketched in Figure D. It is found that the coin slips off the record when the rotation rate is 0.30 rev/s. What is the coefficient of static friction between the coin and the record? 115 cm Figure D
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Transcribed Image Text:6. The hard disk in a laptop computer contains a small disk that rotates at a rate of 5000 rpm. If this disk has a radius of 2.0 cm, what is the centripetal acceleration of a point at the edge of the disk? 7. The Daytona 500 stock car race is held on a track that is approximately 2.5 mi long, and the turns are banked at an angle of 31°. It is currently possible for cars to travel through the turns at a speed of about 180 mi/h. Assuming these cars are on the verge of slipping into the outer wall of the racetrack, find the coefficient of static friction between the tires and the track. 8. Consider the motion of a rock tied to a string of length 0.50 m. The string is spun so that the rock travels in a vertical circle as shown in Figure B. The mass of the rock is 1.5 kg, and it is twirling at constant speed with a period of 0.33 s. 1.5 kg r = 0.50 m (a) Draw free-body diagrams for the rock when it is at the top and when it is at the bottom of the circle. Your diagrams should include the tension in the string, but the value of T is not yet known. Figure B (b) What is the total force on the rock directed toward the center of the circle? (c) Find the tension in the string when the rock is at the top and when it is at the bottom of the circle. 9. A roller-coaster track is designed so that the car travels upside down on a certain portion of the track as shown in Figure C. What is the minimum speed the roller coaster can have without falling from the track? Assume the track has a radius of curvature of 30 m. Figure C 10. A coin is sitting on a record as sketched in Figure D. It is found that the coin slips off the record when the rotation rate is 0.30 rev/s. What is the coefficient of static friction between the coin and the record? 115 cm Figure D
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