Question on: SS1 Physics - Work, Energy, And Power
A roller coaster car has a mass of 500 kg and reaches a height of 30 meters. If it started from rest, calculate its final velocity at the bottom of the hill, assuming no energy losses due to friction.
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Potential Energy at the top = Kinetic Energy at the bottom
Potential Energy = Mass × Acceleration due to gravity × Height
Kinetic Energy = (1/2) × Mass × Velocity2
500 kg × 9.8 m/s2 × 30 m = (1/2) × 500 kg × Velocity2
14,700 J = 250 kg × Velocity2
Velocity2 = 58.8 m2/s2
Velocity = √(58.8) ≈ 7.67 m/s
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