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worty [1.4K]
2 years ago
15

A new ride being built at an amusement park includes a vertical drop of 70.0 meters. Starting from rest, the ride vertically dro

ps that distance before the track curves forward. The velocity at the bottom of the drop is 12.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg.
a. Calculate the potential, kinetic and total energy at the top.



b. Calculate the potential, kinetic and total energy at the bottom.

c.Is the total energy at the top equal to the total energy at the bottom? Justify your observation.
Physics
1 answer:
Alexeev081 [22]2 years ago
7 0

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.

Learn more about Energy here:

brainly.com/question/18963960

#SPJ10

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