A roller coaster goes around a vertical loop that has a diameter of 40 m. What is the minimum speed that the roller coaster car must go at the top of the loop to stay on track? (the total mass is 600 kg) (

A roller coaster goes around a vertical loop that has a diameter of 40 m. What is the minimum speed that the roller coaster car must go at the top of the loop to stay on track? (the total mass is 600 kg) (

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 14WUE

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: In which one of the following situations will there be an increase in kinetic energy? A…

A: Required: To select a situation from given options where an increase in Kinetic Energy (KE)

Q: A person on a sled coasts down a hill and then goes over a slight rise with speed 2.4 m/s. The top…

Q: 4. A 0.40 kg small box starts from rest and slides down a frictionless curved surface ( % of a…

A: According to work energy theorem Work done = change in kinetic energy

Q: A frictionless rollercoaster does a vertical loop with a radius of 6.0 m. What is the minimum speed…

A: Given Data : The radius of the loop is given as r = 6 m.

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

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 side view of a 0.45 kg ball moving in a circular path in a vertical plane is shown in the gure.…

Q: 92. A 2 kg ball is attached to a 0.80 m string and whirled in a horizontal circle at a constant…

A: Given: Mass m = 2kg Length of string L = 0.80 m Speed = 6 ms. To determine: The work done on the…

Q: A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates…

Q: 10. A roller coaster reaches the top of the steepest hill with a speed of 5.40 km/h. It then…

A: 10)Write the expression for the difference between the force of gravity and frictional force will be…

Q: A roller coaster begins with the 500 [kg] car (including riders) on the lowest horizontal section of…

Q: A helicopter is traveling at 50m/s at a constant altitude of 150m over a level field. If a wheel…

Q: 13. A man moves the 0.1 kg object shown in a vertical plane from position X to position Y along a…

A: We know that , work done = mgh Given that , Mass = .1 kg Radius = 2 m

Q: A roller coaster can be represented by a block mass of 45kg the car is released from a height of…

A: There is no frictional force acting on the car. Gravity acts on it and it is a conservative force.…

Q: A 2,000-kg minivan is traveling on level ground at a constant speed of 10 m/s in a circle of radius…

A: Given data: Mass (m) = 2000 kg Speed (v) = 10 m/s Radius of circular path (r) = 50 m Required: Work…

Q: 4. A 0.40 kg small box starts from rest and slides down a frictionless curved surface ( % of a…

A: According to work energy theorem Work done = change in kinetic energy

Q: A snowboarder drops from rest into a halfpipe of radiusR and slides down its frictionless surface to…

A: a)PEi at top = mgRKEi at the top = 0PEf at top = 0KEf at the top = 1/2mv2

Q: What is the minimum speed a 805 kg roller coaster needs to have at the top of a 6 m radius vertical…

Q: An engineer is working on a new roller coaster, and he begins by making a scale model. On this…

Q: A skier weighing 0.80 kN comes down a frictionless ski run that is circular (R = 30 m) at the…

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: An object is constrained by a cord to move in a circular path of radius 0.5m on a horizontal…

A: Given: The radius is R=0.5 m. The tension on cord is F=16 N. The expression of kinetic energy is…

Q: A skateboarder enters a loop the loop with a radius of 3 meters. His velocity is 17m/s. What is his…

A: Required : Speed of the skateboarder.

Q: An engineer is working on a new roller coaster, and he begins by making a scale model. On this…

A: This problem can be solved using the mechanical energy conservation principle. According to this…

Q: figure below shows a roller-coaster car on a track. The car is fully loaded with passengers and has…

A: Car will loose contact if if there is no normal force or normal reaction becomes zero. At point B…

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: A 2100 kg car starts from rest at the top of a driveway that is sloped at an angle of 20° with the…

A: Given data: Mass of the car, m=2100 kg Angle, θ=20° Energy lost, ΔE=20×103 J Speed of the car at the…

Q: A 59.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is…

Q: QUESTION 11 What minimum velocity must a small roller-coaster car have at the bottom of a…

A: Given: Radius, r = 8.00 m/s Acceleration due to gravity, g= 9.8 ms2 To Find: The minimum…

Q: A block with mass m is placed on the top of a smooth cline. The cline is h=4.7m high. The block is…

A: According to work-energy theorem :- work done by all the forces is equal to change in kinetic…

Q: During a performance in an airshow, a 529 kg stunt plane makes a circular horizontal turn of radius…

Q: A 67.5-kg skier encounters a dip in the snow's surface that has a circular cross section with a…

Q: A roller coaster of mass 380.0 kg is moving with a speed of 2.50 m/s at point A, at a height of h=…

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

Q: A rectangular block is moving along a frictionless path when it encounters the circular loop as…

A: Option (A): It's speed is a mininum is the correct answer. Because , At point 3 , kinetic energy…

Q: An engineer is working on a new roller coaster, and he begins by making a scale model. On this…

A: vo=1.5 m/sinitial height, h1=2 mmass of car,m=0.5 Kgfinal height at A, h2= 1.9 m

Q: True or False? "In the circular motion, there is a kinetic energy but the work due to the…

Q: A roller coaster car starts from rest and descends from the top of a 40 m hill. If the car has a…

Q: The figure shows a ball with mass m = 0.69 kg attached to the end of a thin rod with length L = 0.99…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

Q: A 54.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is…

Q: Which of the following statements is true? A ball moves in a uniform circular motion, the work done…

A: The standard expression for the work done due to centripetal force (F) acting on an object moving…

Q: A roller coaster of mass 380.0 kg is moving with a speed of 2.50 m/s at point A, at a height of h=…

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

When a body slides down an inclined plane, does the work of friction depend on the body’s initial speed? Answer the same question for a body sliding down a curved surface.
A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each vertical loop, instead of being circular, is shaped like a teardrop (Fig. P5.22). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0 in high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the care have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having teardrop-shaped loops.
What is the minimum speed a 805 kg roller coaster needs to have at the top of a 6 m radius vertical loop?
A 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?
A roller coaster has a circular loop with a diameter (height) of 39 meters. When the coaster is upside down at the top of the loop, what is the minimum speed it must be traveling so that the passengers do not fall out?
A matchbox car track begins at a height y=1.0, goes down hill to y=0, goes around a vertical loop of radius 0.2 m and then goes back up a smaller hill to end at a height y=0.3 m. The speed of the car at the end of the track is closest to which value?
A 59.0 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 3.20 mWhat speed does he need at the bottom?
the speed of the roller coaster, in meters per second, is 16.71. At the top of the loop if the radius of curvature is 15 m the downward acceleration of the car is 1.9g. The height of the loop is 14.15 m. If the loop actually starts 6.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose to friction? Its mass is 1400 kg.
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 roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 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.
A roller coaster begins with the 500 [kg] car (including riders) on the lowest horizontal section of track released from a horizontal spring that has been compressed 6 [m]. It then enters a loop of radius 20 [m].a) Find the spring stiffness k such that the car barely has enough speed to make it around the loop without falling.b) Find the speed of the car as it exits the loop if it barely made it around. c) Find the normal force on the car due to the track when it is 40 degrees away from the top of the loop. (Draw a radial line that touches the top of the loop and another that touches the car. The angle between these two radial lines at the center of the loop should be 40 degrees.)
In a truck-loading station at a post office, a small 0.200 kg package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m. The size of the package is much less than 1.60 m, so the package can be treated as a particle. It slides down the track and reaches point B with a speed of 4.80 m/s. From point B, it slides on a level surface a distance of 3.00 m to point C, where it comes to rest. (a) What is the coefficient of kinetic friction on the horizontal surface? (b) How much work is done on the package by friction as it slides down the circular arc from A to B?