Question

In: Physics

A roller coaster car with its three passengers (a total of 450̅ kg) is pulled up...

A roller coaster car with its three passengers (a total of 450̅ kg) is pulled up to the top of a 30.0 meter hill where it is released at a speed of 1.00 meter per second to begin its hurtle down the track toward a 15.0 meter diameter loop the loop at the bottom. Unfortunately, the maintenance crew still has some work to do on the old rusty roller coaster track and the average frictional force on the 65.0 meter long angled descent is 595 N. Luckily the loop-the-loop portion of the roller coaster track has been recently polished and Teflon coated to reduce friction to practically nothing. What will be the speed of the car at the top of the loop-the-loop, and will this be enough to have the car stay on the track all the way round the loop (please verify your answer)

Solutions

Expert Solution


Related Solutions

A roller coaster car with its passengers has a mass of 220 kg and it goes...
A roller coaster car with its passengers has a mass of 220 kg and it goes through a series of horizontal and vertical curves. A. Draw the free body diagrams for the car going around a horizontal curve, the bottom of a vertical loop, and the top of a vertical loop in which the cart is upside down. Indicate the direction of the acceleration on each diagram. B. If the car is moving at 25 m/s what is the smallest...
A car of a roller coaster has a total mass of 1000 kg including the passenger....
A car of a roller coaster has a total mass of 1000 kg including the passenger. At position A (the top of the first incline), it cruises at 2m/s. Calculate its velocity at position C at the top of the second incline which is 5 m below the top of the first incline, if there are no losses due to friction on the track or air drag. Calculate the average resistance force (due to friction and drag) between points A...
A roller coaster car has a mass of 250 Kg. The car is towed to the...
A roller coaster car has a mass of 250 Kg. The car is towed to the top of a 30 m hill where it is released from rest and allowed to roll.   The car plunges down the hill, then up an 8 m hill and through a loop with a radius of 8 m. Assuming no friction: (8 points) What is the potential energy of the car at the top of the 30 m hill? What are the Kinetic Energy...
A roller-coaster track is being designed so that the roller-coaster car can safely make it around...
A roller-coaster track is being designed so that the roller-coaster car can safely make it around the circular vertical loop of radius R = 24.5 m on the frictionless track. The loop is immediately after the highest point in the track, which is a height h above the bottom of the loop. What is the minimum value of h for which the roller-coaster car will barely make it around the vertical loop?
1) A roller coaster car on the leveled portion of a track is moving at a...
1) A roller coaster car on the leveled portion of a track is moving at a speed of 35 m/s, heading toward a hump. Based on the principle of conservation of energy, predict what is the velocity of the car on the top of the hump if the lost of energy due to friction and air resistance is negligiable. The highest point of the hump is 14 above the leveled track.
1. If a roller coaster has a total of 6396 Joules of energy at the top...
1. If a roller coaster has a total of 6396 Joules of energy at the top of a hill, then at the bottom of the hill how much total energy will it have. (assume: no brakes, no motor, no air resistance, no external forces) Hint: use conservation of energy! Question 2 If a roller coaster begins at rest at the top of a 20 meter hill, then at the bottom of the hill how fast will it be going? Hint:...
You have been hired to design a spring-launched roller coaster that will carry two passengers per...
You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 20m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5m and that a loaded car will have a maximum mass of 450kg . For safety reasons, the spring constant should be 15% larger than the minimum needed for the car to just make it over the...
1. A 1200 kg roller coaster is given an initial velocity of 28 m/s (not the...
1. A 1200 kg roller coaster is given an initial velocity of 28 m/s (not the answer to problem 7) and travels uphill to a height of 30m above the ground. What is the velocity at the top of the hill? 2. A 1200 kg roller coaster is given an initial velocity of 28 m/s (not the answer to problem 7) and travels uphill to a height of 30m above the ground, then drops to a height of 13m above...
A roller-coaster car is starting from rest from the top of the slope of height H....
A roller-coaster car is starting from rest from the top of the slope of height H. As it reaches the bottom of the slope, it is moving at 30 m/s along a straight horizontal track. Using the principle of conservation of energy, a. Calculate the height H. b. Calculate the speed of the roller-coaster car after climbing the 10 m hill shown in the figure. Ignore friction. c. What is the change in kinetic energy as the car goes a....
A roller coaster car with a mass 700 Kilograms starts from rest at h1 above the...
A roller coaster car with a mass 700 Kilograms starts from rest at h1 above the ground and slides along a track. The car encounters a loop of radius 12 m. The bottom of the loop is a height h2 = 5 m from the ground. What would be the max height of release h1 for the roller coaster car if the amount of thermal energy produced between the point of release and the top of the loop should not...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT