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Transcribed Image Text:Uniform Circular Motion
10. A rollercoaster is at the inside top of a a
circular loop of radius R=150m. How fast must
the rollercoaster be going if it isn't to fall off?
v=?
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- A roller coaster contains a loop-the-loop in which the car and rider are completely upside down at the top of the loop. The radius of the loop is 16 m. What minimum speed (in m/s) must the car have at the top so that the rider does not fall out while upside down? Assume the rider is not strapped to the car. 12.53 m/s. What is the magnitude of the normal force at the top of the loop? What is the magnitude of the normal force at the bottom of the loop?arrow_forwardA car drives around a curve with radius 400 m at a speed of 32 m/s. The road is banked at 7.0 degree. The mass of the car is 1500 kg. What is the magnitude of the centripetal force in order to make this turn? I am given an answer of 3800N, but not quite sure how to get there. Thanks!arrow_forwardA skater is trying to perform a Triple revolution jump. His vertical take off speed is 2.8 m/s. How fast does he need to rotate to complete the triple revolution in the air? (in rotation per second) Assuming g=9.8 m/s² Your Answer: Answerarrow_forward
- It has been suggested that rotating cylinders about 20.0 mi long and 5.49 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/sarrow_forwardHello, Can someone please show how to solve this problem? Thanksarrow_forwardA 4.0 kg car is traveling around a vertical loop with a radius of 2 m. What is the normal force from the surface of the track when the car is at its highest point if it is moving with a speed of 5 m/s? A.40 N B.90 N C.50 N D.10 Narrow_forward
- A ball having a mass of 2.27 kg is swinging at the end of a cord in a vertical circle of radius 0.6 m at 2 rev/s. What is the tension in the cord when the ball is a. at the level of the center? b. At the bottom of the vertical circle?arrow_forwardMCQ 5. A roller-coaster car has a mass of 500 kg when fully loaded with passengers. The car passes over a hill of radius 15 m, as shown. At the top of the hill, the car has a speed of 8.0 m/s. What is the force of the track on the car at the top of the hill? 15 m 8.0 m/s a. 7.0 kN up b. 7.0 kN down c. 2.8 kN down d. 2.8 kN up e. 5.6 kN down 71672arrow_forwardNASA uses a machine often called the "vomit comet" to mimic the effects of low gravity in space during astronaut training. The machine moves in circular arcs at a speed of v = 214 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.arrow_forward
- It has been suggested that rotating cylinders about 12.5 mi long and 5.07 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/sarrow_forwardIn many new science fiction movies large space ships simulate gravity by make very large cylindrical vessels that rotate at correct speeds. If one such space ship has a radius of R = 53.1 m, how many revolutions per hour does it need to make so that the passengers feel the proper simulation of gravity as they are on the edge? Rarrow_forward
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