10. A cart on a roller coaster is upside down at the top of a clothoid loop. At this point, riders feel weightless. The radius of the loop at the top is 10.0 m. What is the speed of the cart? a) 7.0 m/s c) 14 m/s b) 9.9 m/s d) 98 m/s
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- 8. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 55.0 m, how fast must the cart be moving in order for you to feel 2.75 times as heavy at the bottom of the loop? X 44.98 m/s Show my other submissions 30 E JO D D C $ 208 R F 96 5 B T G 6 MacBook Air B Y & H 7 49 N J DR FR K M MOSISO commandA child on a sled starts from rest at the top of a 20.0° frictionless slope that is 100m long. What is the child's speed at the bottom of the slope? A) 26 m/s B) 90 m/s C) 11 m/s D) 47 m/s E) 34 m/s8. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 55.0 m, how fast must the cart be moving in order for you to feel 2.75 times as heavy at the bottom of the loop? X 44.96 m/s E 30 J R V 96 T FO G B MacBook Air 20 Y H & 7 N w 8 CHI M ( 9 K MOSISO FO O P command option
- 2. A block projected up in a frictionless inclined plane with a speed of v,. The angle of incline is 0. a) How far up the incline does it go? b.) How long will it take to get there? c.) What is its speed when it gets back to the bottom? Find the numerical answers for 0 =35 and vo = 8.2 ft/s1. A 100 kg cart goes around the inside of a vertical loop of a roller coaster. The radius of the loop is 3 m and the cart moves at a speed of 6 m/s at the top. What is the force exerted by the track on the cart at the top of the loop?7. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 45.0 m, how fast must the cart be moving in order for you to feel 3.75 times as heavy at the bottom of the loop? m/s 60 S 60 S ssfo
- 8. An electron (m = 9.11×10-31kg) travels in a circle with a radius of 0.003 meters. What is the speed of the eleca on in m/s if the force acting on it is 5.2x10-14 N?A sled and a rider together have a combined mass of 87 kg. They slide from rest down a frictionless hill elevated at 0=30° for a distance d 45 m to reach the bottom. Find the speed at the bottom of the hill. (g 10 m/s²) %3D A. 20 m/s B. 15 m/s C. 21.2 m/s D. 18.7 m/s 1. E. 30 m/s OB 00 O OA particle of mass m moves in the XY-plane, and its position vector is given by = a cos wtî + b sin wtĵ where a, b, and w are positive constants, and a > b. Show that a. The particle moves in an ellipse. b. The force acting on the particle is always directed toward the origin. c. The total work done by the force in moving the particle once around the ellipse is zero d. The force is conservative.
- 5. View the YouTube video: Tony Hawk's Loop of Death. The video shows skateboarders going through a loop-the-loop. Assume the top of the ramp is a distance 3.25R above the ground where R is the radius of the loop and the skateboarder has mass M. The skateboarder starts from rest at the top of the ramp and successfully goes around the loop. a. What is the skateboarder's speed at the top of the loop? b. What is the normal force that the track exerts on the skateboarder at the top of the loop? Suggestion: draw the free body diagram. c. What is the minimum speed of the skateboarder at the top of the loop so that the skateboarder stays in contact with the track?8. A mass m slides down a frictionless loop-the-loop track shown in the diagram below. 4r 111 a B. Vb = C. vb = 8rg D. vb = √√8rg E. Vb = √6rg f 6r If the mass is released from rest at point "a" and there is no appreciable air resistance, determine the speed of the mass at points b in terms of m, r, and g. A. Vb = 4rg √4rgA 54.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 3.70 m. What speed does he need at the bottom?