A frictionless rollercoaster does a vertical loop with a radius of 6.0 m. What is the minimum speed that the roller coaster must have at the top of the loop so that it stays in touch with the rail? Include a force diagram.

A frictionless rollercoaster does a vertical loop with a radius of 6.0 m. What is the minimum speed that the roller coaster must have at the top of the loop so that it stays in touch with the rail? Include a force diagram.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 55AP: A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an...

See similar textbooks

Related questions

Q: A 515kg roller coaster is at the bottom of a loop with a radius of 10 m. If the speed at bottom of…

A: Given that, Mass (m) = 515 kg radius (r) =10m. Speed at the bottum is 20m/s.

Q: 45. A ball of mass m = 0.275 kg swings in a vertical circular path on a string L = 0.850 m long as…

A: Here given a ball of mass 0.275 kgswings in a vertical path with a string of length L= 0.850 m. We…

Q: motorcyclist in the Globe of Death, pictured at the start of the chapter, rides in a 2.2-m-radius…

A: Balance the vector equation of force in vertical direction, to calculate the minimum speed of rider…

Q: Lola can do a loop-the-loop on a skateboard of radius 4.9 m. What is the minimum speed needed for…

Q: A rollercoaster rolls thru a vertical circular loop with a radius of 28 m. Find the minimum speed at…

Q: A roller-coaster car has a mass of 1050 kg when fully loaded with passengers. As the car passes over…

A: The roller coaster is moving in a uniform circular motion.

Q: A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.…

A: Given: R=13.2 m g=9.81 m/s

Q: A roller coaster goes through a loop at a constans speed. Where is the normal force it experiences…

A: When a roller coaster is moving with constant speed in the vertical circular path, the centripetal…

Q: 5. As a roller coaster car crosses the top of a 54.0-m-diameter loop-the-loop, it's apparent weight…

Q: A 17.5 KN automobile is traveling down the 10° inclined road at a speed of 6 m/s determine how far…

Q: 10. A cart on a roller coaster is upside down at the top of a clothoid loop. At this point, riders…

Q: When a car gets to the bottom of a hill, the driver releases the accelerator so that the car coasts…

Q: Omar can do a loop-the-loop on a skateboard of radius 4.9 m. What is the minimum speed needed for…

Q: A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.…

A: Given : Radius of a loop (r) = 13.2 m

Q: To alleviate the traffic congestion between two cities such as Boston and Washington, D.C.,…

Q: A motorcyclist rides in loop. To keep control the normal force on his tires at the top of the loop…

A: The radius of the vertical circle is given by r=2.2 m

Q: A 1500 kg car drives at 30 m/s over a circular hill that has a radius of 460 m. At the point shown…

A: Write a given values of this question. m=1500kgv=30m/sr=460mθ=30∘

Q: Estimate the minimum force that Microraptor must exert to fly.A. 0.65 N B. 1.3 NC. 1.0 N D. 10 N

A: Microraptor is like four winged dinosaurs.

Q: A 51.5-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The…

A: (a) The speed of the car at the top of the vertical loop is, Fg=Fcmg=mvloop2Rg=vloop2Rvloop=gR

Q: A roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If…

A: Let v be the minimum speed of the car at the top of the loop so that the passenger will not fall.mg…

Q: A 7000 lb airplane loops at a speed of 300mi/hr. Find a. the radius of the largest circular loop…

A: Write the given values with the suitable variables. W=7000 lbv=300 mi/hr=300×1.46667 ft/s=440 ft/s…

Q: Calculate the kinetic friction force (N). When the ramps slope is 32°. The objects mass is…

A: given, the slope is 32°. The object's mass is 0.40566kg The normal force is 3.37N The gravity…

Q: As a roller coaster car crosses the top of a 40-m-diameter loop-the-loop, its apparent weight is the…

Q: Suppose that the mass of the cart of a roller coaster below is 800 kg. If the radius of the circular…

Q: A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race…

A: In the system, weight of car is balanced by the vertical component of normal reaction force.

Q: You are designing the section of a roller coaster ride shown in the figure. Previous sections of the…

A: Given: The speed of train (v) = 10.7 m/s. Initial height of train (h) = 36.7 m.

Q: A 0.15 kg baseball is thrown horizontally (parallel to the ground) from a height of 2 m with an…

A: UH=25 m/sUv=0 m/sR=UHt18=25×tt=1825t=0.72 s

Q: A roller coaster car filled with passengers has a mass of 4800 kg. What speed must it have at the…

Q: A bobsled travels along a frictionless track. It crosses the starting line with a speed of v0=3.1…

Q: If an object is moving in a circle at constant speed, the work done by the centripetal force will…

A: Work done on an object by force is the dot product of force and its displacement. Work done can be…

Q: You have a coin and you put it 20.0 cm from the middle of a spinning, horizontal turntable slips…

Q: In the figure, a stunt car driver negotiates the frictionless track shown in such a way that the car…

A: Analyze the following figure. In the above figure, figure 1 (a) represent the car’s FBD at the…

Q: On a planet where g = 10.0 m/s^2 and air resistance is negligible, a sled is at rest on a rough…

Q: A roller coaster has a circular loop with a diameter (height) of 39 meters. When the coaster is…

Q: A roller-coaster vehicle has a mass of 565 kg when fully loaded with passengers (see figure). 10 m…

Q: A 38.0-kg child swings in a swing supported by two chains, each 3.08 m long. The tension in each…

Q: Sheila (m=62 kg) is riding the Demon roller coaster ride. The turning radius of the top of the loop…

Q: A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.…

Q: The figure shows a version of the loop-the-loop trick for a small car. If the car is given an…

A: Given, Initial velocity = 4.0 m/s

Q: A 200 g ball moves in a vertical circle on a 1.08 mm -long string. If the speed at the top is 4.30…

A: Given data The mass of the ball is m = 200 g. The length of the string is l = 1.08 mm. The speed of…

Q: In addition to the remarkable top speed, cheetahs have impressive cornering abilities. In one study,…

A: Given Mass of cheetah m=50kg Force acting on sideways ,F=960N Speed of cheetah v=20m/s

Q: A person at the top of a roller coaster loop (point B) feels three times their regular weight. If…

A: Given:Speed v=25 m/s Apparent weight at the top of roller coaster loop=3 times regular weight Let…

Q: A ball of mass m = 0.275 kg swings in a vertical circular path on a string L = 0.850 in long as in…

Q: At what minimum speed must a roller coaster be traveling when upside down at the top of a circle so…

Q: A 35.0-kg child swings in a swing supported by two chains, each 2.96 m long. The tension in each…

A: The lowest point of the swing is the equilibrium point, so the condition for equilibrium of the…

Q: A m= 500. kg Initial Velocity at point A = 1.5m/s

A: The initial velocity at point A is u = 1.5 m/s The height of point A from the ground is h = 60 m…

Q: A 53.0-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The…

Question

A frictionless rollercoaster does a vertical loop with a radius of 6.0 m. What is the minimum speed
that the roller coaster must have at the top of the loop so that it stays in touch with the rail? Include a
force diagram.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an expression for the normal force acting on the car when it is at the top of the arc. (b) At what minimum speed will the normal force become zero (causing the occupants of the car to seem weightless) if r = 30.0 m?
A motorcyclist in the Globe of Death, pictured at the start of the chapter, rides in a 2.2-m-radius vertical loop. To keep control of the bike, the rider wants the normal force on his tires at the top of the loop to equal or exceed his and the bike's combined weight. What is the minimum speed al which the rider can take the loop?
A rollercoaster goes over a hump of radius 15 m. What is the maximum speed itcan have at the highest point of the hump without the riders flying out of theirseats?
A person at the top of a roller coaster loop (point B) feels three times theirregular weight. If their speed is 25 m/s, what is the radius of the loop? Includean FBD.
A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to four times her weight as she goes through the dip. If r = 16.5 m, how fast is the roller coaster traveling at the bottom of the dip?
A skateboarder enters a loop the loop with a radius of 3 meters. His velocity is 17m/s. What is his speed at 3 o'clock, 6 o'clock and 9 o' clock? Friction is negligible.
A 0.60-kg rock is swung in a circular path and in a vertical plane on a 0.50-m-length string. At the top of the path, its speed is 4 m/s. What is the tension in the string at that point?
A fullback is running a sweep around the left side of the line. As he rounds the turn, he is momentarily moving in circular motion, sweeping out a quarter-circle with a radius of 4.17 meters. If the 83.5-kg fullback makes the turn with a speed of 5.21 m/s, then what is his acceleration, the net force, the angle of lean (measured to the vertical), and the total contact force with the ground? PSYW a = ____________ Fnet = ____________ Fgrav = ____________ Fnorm = ____________ Ffrict = ____________ Fcontact = ____________ Angle of Lean = ____________
A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. -If the radius of the loop is R=13.2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car. -Find the minimum H value?
A car moves at speed v across a bridge made in theshape of a circular arc of radius r. (a) Find an expression forthe normal force acting on the car when it is at the top of thearc. (b) At what minimum speed will the normal force becomezero (causing the occupants of the car to seem weightless) ifr = 30.0 m?
What is the tension in a 0.500 meter rope which carries a 2.50 kg bucket of water in a vertical circle with a velocity of 3.00 m/s when the bucket is at the bottom of its swing?
A 5kg ball travels in a circle of radius 2m. If it experiences a 20 N force indoing so, what is its speed?