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 exceed 15% of the initial mechanical energy and the normal force at the top should be no more than 580 N? answer in meters

Expert Solution

Thanks! Please rate it up

genius_generous answered 1 year ago

A cart starts from rest at the top of a roller coaster that is 40 meters...

A cart starts from rest at the top of a roller coaster that is 40 meters high. It descends down the first hill all the way to ground level before heading into a vertical circular loop with diameter 20 meters. What is the minimal H(height of the initial hill) needed in order for the cart to just barely make it over the top of the loop?

A roller coaster starts from rest at A, rolls down the track to B, describes a...

A roller coaster starts from rest at A, rolls down the track to B, describes a circular loop of 12-m diameter, and travels up and down past point E. Assume that there is no energy loss due to friction. Given: h = 20 m. Shoe the free body diagrams at points B,D, and E. Determine the force exerted by his seat by a 80 kg rider at B and D and the minimum value of the radius of curvature at...

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 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 starts at ground level and rises up 139 m above the ground on...

A roller coaster starts at ground level and rises up 139 m above the ground on the first hill. What is the maximum speed it can have when it rolls down to the ground level?

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 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 toy car with a mass of 1 kg starts from rest at the top of...

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2 meters down the ramp, then another 3 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at...

-A roller coaster cart of mass (m1=127 kg) initially sits at rest on a track. Once...

-A roller coaster cart of mass (m1=127 kg) initially sits at rest on a track. Once the motor is activated, the cart is accelerated forward (across level ground) until it reaches the bottom of a giant circular loop with a radius of (r1=17.5 m). At this point, the motor is turned off and the cart must "coast" for the remainder of the ride. Assume the track is frictionless and ignore air resistance. At the top of the loop, what is...

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?

Question