Roller Coaster Physics

A roller coaster at the top of a hill has gravitational potential energy of 5000 J. If the roller coaster's mass is 200 kg, what is the height of the hill? (Assume g = 9.8 m/s²)

• • 25 m

• • 50 m

• • 2.5 m

• • 0.25 m

A ride called the "Gravitron" spins its passengers in a circular path with a radius of 5 meters. If the ride completes one revolution in 3 seconds, what is the centripetal acceleration of a passenger?

A bumper car with a mass of 150 kg is moving at 2 m/s and collides head-on with another bumper car of mass 100 kg moving at -1 m/s. What is the total momentum of the system before the collision?

• • 100 kg·m/s

• • 200 kg·m/s

• • 250 kg·m/s

• • 300 kg·m/s

A person with a mass of 70 kg is riding a Ferris wheel of radius 10 meters, completing one revolution every 30 seconds. What is the normal force experienced by the person at the top of the Ferris wheel? (Assume g = 9.8 m/s²)

A roller coaster descends a vertical drop of 50 meters. If the mass of the roller coaster is 500 kg, what is its speed at the bottom of the drop? (Ignore friction and air resistance, g = 9.8 m/s²)

• • 10 m/s

• • 20 m/s

• • 31.3 m/s

• • 50 m/s

A swing ride moves in a horizontal circle with a radius of 8 meters at a speed of 4 m/s. What is the tension in the cable if the mass of the rider is 60 kg?

• • 120 N

• • 240 N

• • 360 N

• • 720 N

A 50 kg rider on a bumper car moving at 3 m/s comes to a stop in 2 seconds. What is the average force exerted on the rider during this time?

A roller coaster car of mass 300 kg is traveling at 15 m/s at the bottom of a loop. What is its kinetic energy at that point?

• • 33,750 J

• • 22,500 J

• • 67,500 J

• • 45,000 J

At the top of a 40-meter-high hill, a roller coaster car has both kinetic and potential energy. If its speed is 5 m/s and its mass is 250 kg, what is its total mechanical energy?

• • A. 102,500 J

• • 82,500 J

• • 52,500 J

• • 62,500 J

A roller coaster car of mass 500 kg is at the top of a vertical loop with a radius of 10 meters, moving at 10 m/s. What is the centripetal force acting on the car?