The mechanical energy is lost due to friction between the two peak is 78,458.688 J
What is mechanical energy?
The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
Given is a roller coaster ride the total mass of a cart - with two passengers included - is 319 kg. Peak K is at 43.6 m above the ground and peak L is at 24.4 m. At location K the speed of the cart is 16.4 m/s, and at location L it is 12.4 m/s.
Total energy at peak K,
TE₁ = 1/2 mv₁² +mgh₁
Substitute the values, we get
TE₁ = 1/2 x319 x 16.4² +319 x 9.81 x 43.6
TE₁ = 179,340. 524 J
Total energy at peak L,
TE₂ = 1/2 mv₂² +mgh₂
Substitute the values, we get
TE₂ = 1/2 x319 x 12.4² +319 x 9.81 x 24.4
TE₂ = 100,881. 836 J
The mechanical energy lost is
M.E = TE₁ -TE₂
M.E = 179,340. 524 J - 100,881. 836 J
M.E = 78,458.688 J
Thus, the mechanical energy is lost due to friction between the two peak i
Learn more about mechanical energy.
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