)Calculate the velocity of the carriage at the top of the Loop-D-Loop?
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A roller coaster includes a long ramp that leads into a Loop-D-Loop. A carriage starts from rest at the top of the ramp and rolls downward (the system is frictionless) The value of gravitational acceleration is 4.8m/s, The mass of the carriage is 80kg, The initial height of the carriage is 5, and the radius of the Loop-D-Loop 10m
1. a) Draw a photo of the carriage at the top of the ramp, and another at the top of the Loop.
b)Calculate the velocity of the carriage at the top of the Loop-D-Loop?
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- Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. D B minimum Imaximum C A What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 16.0 m and the downward acceleration of the car is 1.50 g? 24.5 What is the relationship between centripetal acceleration and tangential speed? m/sIn the figure below, a solid ball rolls smoothly from rest (starting at height H = 8.3 m) until it leaves the horizontal section at the end of the track, at height h = 2.3 m. How far horizontally from point A does the ball hit the floor?A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed. The length of the string is 1.25 m. The mass of the ball is 2.10 kg. The maximum tension the string can withstand is 61.0 N. What is the max speed of the ball without breaking the string when the ball is at the top of the circle (point a)?
- Shown is a 100 g puck revolving at 100 rpm on a 20-cm-radius circle on a frictionless table. A string attached to the puck passes through a hole in the middle of the table. The end of the string below the table is then slowly pulled down until the puck is revolving in a 10-cm-radius circle. How many revolutions per minute does the puck make at this new radius?A 3200 kg coaster car rolls along the frictionless track shown. To safely make it through the loop there is a minimum speed the coaster must have at the top of the loop. At this speed the normal force of the track pushing downward on the coaster is zero. The radius of the circular loop is 14.1 meters. At the top of the loop of radius 14.0 m the force of gravity is the only force acting on the coaster. What is the magnitude of the coaster's acceleration at the top of the loop?A circus motorcycle acrobat is trying to calculate the speed required to perform a loop- the-loop with a motorcycle. The loop has a radius of 10 m. At what speed must the motorcycle enter the loop at the bottom to negotiate a complete loop against gravity, without the use of its engine while in the loop? We do not have enough information. Mass is required. b) More than 20 m/s. c) More than 25 m/s. Exactly 20 m/s. Exactly 25 m/s.
- A bucket of water with a mass of 2.36 kg is attached to a rope that is wound around a cylinder. The cylinder has a mass of 3.00 kg and is mounted horizontally on frictionless bearings. The bucket is released from rest. A) Find the speed of the bucket after it has fallen through a distance of 0.800 m. in m/s B) What is the tension in the rope? in N C) What is the acceleration of the bucket? Enter a positive value if the acceleration of the bucket is upward and enter a negative value if the acceleration of the bucket is downward. in m/s^2A 50 g ball of clay is thrown from the left tangent to the top of a 2.0 kg, 30-cm-diameter sphere that spins at a frequency of 1 rev/s ccw about its center. Assuming that the clay sticks to the sphere, how fast must you throw the clay to ensure that the spinning sphere comes to a stop?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?
- T3.14 Please help me answer this physics question.A circus motorcycle acrobat is trying to calculate the speed required to perform a loop- the-loop with a motorcycle. The loop has a radius of 10 m. At what speed must the motorcycle enter the loop at the bottom to negotiate a complete loop against gravity, without the use of its engine while in the loop? We do not have enough information. Mass is required. b) More than 20 m/s. More than 25 m/s. d) Exactly 20 m/s. Exactly 25 m/s.At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders “plastered” against the wall. Suppose the radius of the room is 7.9 m and the coefficient of friction between the rider and the wall is 0.839, what is the minimum the safe speed of the wall for the rider not to drop when the floor falls away. Use g=9.8 m/s2.