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Sagot :
The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule, 0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.
Energies at the top:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 70 Joule
Potential energy = 2.38 x 10⁷ Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²
Kinetic Energy = 0 Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )
Total Energy = 23.8 x 10⁶ Joule
Energies at the bottom:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 0 Joule
Potential energy = 0 Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²
Kinetic Energy = 2.448 x 10⁶ Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )
Total Energy = 2.448 x 10⁶ Joule
The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.
So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.
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