High School

The Millennium Force Roller Coaster at Cedar Point has a hill height of 94 m and reaches a speed of 36 m/s at the bottom of the hill. If the roller coaster car starts at rest and has a mass of 120 kg, how much energy is lost to friction and heat?

Answer :

The energy lost due to friction and heat is 32784 Joule.

Given parameters:

Mass of the car; M = 120 kg.

speed of the car at bottom; v = 36 m/s.

Height of the hill; h = 94 m.

Then, Gain of Kinetic energy of the car = 1/2× mass × speed²

= 1/2×120×36² Joule

= 77760 Joule.

Loss of potential energy of the car = mass× acceleration due to gravity × height

= 120 × 9.8 × 94

= 110544 Joule.

Energy lost due to friction and heat = Loss of potential energy of the car - Gain of Kinetic energy of the car

= 110544 Joule - 77760 Joule.

= 32784 Joule.

Hence, energy lost due to friction and heat is 32784 Joule.

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