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Roller coaster - vertical circular motion

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Wize University Physics Textbook (Master) > Circular Motion

Uniform Circular Motion

5 Activities

A roller coaster vehicle has a mass of 500 kg when fully loaded with passengers. (a) If the vehicle has a speed of 20.0 m/s at point A, what is the force of the track on the vehicle at the point? (b) What is the maximum speed the vehicle can have at point B for gravity to hold it on the track?

More Uniform Circular Motion Questions:
Example : circular motion
A 1.6kg ball is attached to a 1.8m string and is swinging in circular motion horizontally at the string's full length. If the string can withstand a tension force of 87N, what is the maximum speed the ball can travel without the string breaking?
A car goes around a curve of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for the second time, compared to the first time?
Practice question
A race car moving with a constant speed of 40m/s completes one lap around a circular track in 50 s. What is the magnitude of the acceleration in m/s2 of the race car?
Practice question
A race car moving with a constant speed of 40m/s completes one lap around a circular track in 50 s. What is the magnitude of the acceleration in m/s2 of the race car?
Example : circular motion
A 1.6kg ball is attached to a 1.8m string and is swinging in circular motion horizontally at the string's full length. If the string can withstand a tension force of 87N, what is the maximum speed the ball can travel without the string breaking?
Example : circular motion
A 1.6kg ball is attached to a 1.8m string and is swinging in circular motion horizontally at the string's full length. If the string can withstand a tension force of 87N, what is the maximum speed the ball can travel without the string breaking?
Example : circular motion
A 1.6kg ball is attached to a 1.8m string and is swinging in circular motion horizontally at the string's full length. If the string can withstand a tension force of 87N, what is the maximum speed the ball can travel without the string breaking?
A 1000 kg car rounds a flat, circular track with radius 10 m. If μsmax⁡=0.81,\mu _{s\max }=0.81,what is the maximum speed the car can travel without slipping? (in m/s, two sig figs)
A boy standing in one spot, swings a box on a string around him as fast as he can. The box ends up moving around him in a circle at a constant height. The string is 1.25 meters long.
a) Draw a free-body diagram for the box. (Hints: what are the forces in the vertical direction? What about the horizontal direction? Remember: centripetal force is NOT some "new" force, it is included in the forces already on your FBD!))
b) If the tension in the string is 100 N and the mass of the box is 5.0 kg, how fast is the box moving? (That is, what is the tangential speed? Enter your answer to two sig figs in meters per second.)
A carousel moves at 8.0m/s. The radius of the circle is 7.4m.
A 76kg pilot does a vertical loop in his plane. The loop is 52.0m in radius, and at the bottom it is moving at 48m/s. What is the normal force on the pilot?
A bug is sitting on a spinning disk. The bug is slowing moving into the centre of the disk. Which of the following statements are true?
A man riding a bicycle with a 100 kg total mass is performing horizontal circles on flat track. If the coefficient of static friction between the tires and track is 0.600, find the smallest radius the man can make when travelling at a speed of 10.0 m/s.
Ellen is swinging a 0.01kg yo-yo in a circular path perpendicular to the ground. The yo-yo moves in a clockwise direction with a constant speed of 2ms.
What is the velocity of the yo-yo at the bottom of the circle?
Example : circular motion
A 1.6kg ball is attached to a 1.8m string and is swinging in circular motion horizontally at the string's full length. If the string can withstand a tension force of 87N, what is the maximum speed the ball can travel without the string breaking?
A car goes around a curve of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for the second time, compared to the first time?
Uniform Circular Motion
A 1000kg car rounds a circular track with radius 10m. If μsmax⁡=0.81,\mu _{s\max }=0.81,what is the maximum speed the car can travel?
A ball of mass M is released from rest at a vertical height h above the ground. The ball rolls down a frictionless inclined plane and makes it to a loop the loop of radius R.
a) What is the velocity of the ball as it reaches to the bottom of the incline?
b) What is the normal force at the bottom?
An object in a uniform circular motion (constant speed v around a circle with constant R is acted upon by a centripetal force. Which statement below is FALSE? The centripetal force:
A runner is running at a speed of 10m/s along a circular track of radius 25 m.
(a) Find the time it takes to complete one lap when he is running at constant speed.
(b) Find the radial acceleration during this time.
Practice question
A race car moving with a constant speed of 40m/s completes one lap around a circular track in 50s. What is the magnitude of the acceleration in m/s2 of the race car?
Circular Motion
A 20-g marble is free to slide on a frictionless wire loop with radius of 15 cm. The loop starts to rotate about its vertical axis until the bead slides up to θ=60∘ as shown below. What is the angular velocity of the loop at this moment?