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?

Expert Solution

genius_generous answered 6 months ago

Roller coaster ride: A roller coaster is being designed that will accommodate 64 riders. The maximum...

Roller coaster ride: A roller coaster is being designed that will accommodate 64 riders. The maximum weight the coaster can hold safely is 12,800 pounds. Hence, the maximum mean weight allowed for 64 men on the ride is 200 lbs. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 194 pounds and standard deviation 68 pounds. Assume that U. S. men’s weights are normally distributed. Show which program was used on a TI-84 plus...

Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum...

Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 191 pounds and standard deviation 65 pounds, and the weights of adult U.S. women have mean 167 pounds and standard deviation 74 pounds. Use the TI-84 Plus calculator. Part 1 of 3 (a) If 60 people are riding the coaster,...

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.

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 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...

Unlike a roller coaster, the seats in a Ferris wheel swivel so that the rider is...

Unlike a roller coaster, the seats in a Ferris wheel swivel so that the rider is always seated upright. An 80-ft-diameter Ferris wheel rotates once every 24 s. What is the apparent weight of a 60 kg passenger at the lowest point of the circle? What is the apparent weight of a 60 kg passenger at the highest point of the circle?

-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 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 roller coaster needs 100,000 N of energy to make it over the next hill. It...

A roller coaster needs 100,000 N of energy to make it over the next hill. It starts at 110 m high from rest and falls to 10 m high from the ground. The coaster has a mass of 100 kg. The value of gravity is 9.8 m/s2, will the coaster make it? Why?

Question