A roller coaster with people on board has a total mass of 4500 kg and starts at a height of 22 meters with a speed of 2.0 m/s. 50 kJ of work is done by friction on the way to the bottom of the ride. What is the speed at the bottom of the ride?

Question

Physics

Miranda Suarez

23 October, 22:51

A roller coaster with people on board has a total mass of 4500 kg and starts at a height of 22 meters with a speed of 2.0 m/s. 50 kJ of work is done by friction on the way to the bottom of the ride. What is the speed at the bottom of the ride?

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Jovany Wise · Answer 1

Energy at the bottom

= 1/2 mu² + mgh - work done by friction

= 1/2 x 4500 x 2² + 4500 x 9.8 x 22 - 50000

= 9000+970200 - 50000

= 929200 J

1/2 m V² = 929200

V = 20.32 m / s