High School

If, in actuality, a 710-kg car with an initial speed of 114 km/h is observed to coast up a hill and stops at a height of 25 m above its starting point, how much thermal energy was generated by friction in joules (J)?

Answer :

The thermal energy was generated by friction is 180490.52J.

What is thermal energy?

Molecules moving within an item or substance are referred to as thermally moving. The sun is the main source of thermal energy in our solar system, but every material possesses some form of thermal energy. Heat is a flow of thermal energy that occurs when energy is transferred from one substance or object to another.

Given,

Initial speed = 114km/h = 114000/3600 = 31.66 m/s

Height = 25m

[tex]E_{intial} = E_{final}[/tex]

mg[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex] = mg[tex]y_{f}[/tex] +1/2m[tex]v^{2} _{f{} }[/tex]

Solving [tex]y_{f}[/tex] we have,

[tex]y_{f}[/tex] = m(g[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex]-1/2m[tex]v^{2} _{f{} }[/tex])

[tex]y_{f}[/tex] = (0+ 1/2 (114×1000/60×60)²-0)/9.8

[tex]y_{f}[/tex] = h = 50.94m

loss of energy = mg (50.94 - 25)

loss of energy = 710× 9.8× 25.94

loss of energy = 180490.52J.

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