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A water park rider (mass = 20.0 kg) starts from rest at the top of a 48.0-m tall
water slide (A). The height at B is 16.0 m. Assuming mechanical energy
conservation, determine the potential energy (PE) and kinetic energy (KE) values
at locations A, B and C. Use g = 10.0 N/kg.

Respuesta :

hamzaahmeds

This question involves the concept of the law of conservation of energy.

The potential energy at A,B,C is "9.6 J","3.2 KJ","0 KJ", respectively.

The kinetic energy at A,B,C is "0 KJ","6.4 KJ","9.6 KJ", respectively.

What is the law of conservation of energy?

The law of conservation of energy states that total energy of the system at any instant must remain constant.

At point A

At point A, the rider is at rest at a height of 48 m on top of the slide. So the kinetic energy of the rider must be 0 KJ. And the potential energy will be given as follows:

[tex]P.E=mgh[/tex]

where,

  • P.E = potential energy = ?
  • m = mass = 20 kg
  • g = 10 m/s²
  • h = height = 48 m

Therefore,

[tex]P.E = (20\ kg)(10\ m/s^2)(48\ m)\\[/tex]

P.E = 9600 J = 9.6 KJ

At point B

The potential energy at point B will be:

[tex]P.E=mgh[/tex]

where,

  • P.E = potential energy = ?
  • m = mass = 20 kg
  • g = 10 m/s²
  • h = height = 16 m

Therefore,

[tex]P.E = (20\ kg)(10\ m/s^2)(16\ m)\\[/tex]

P.E = 3200 J = 3.2 KJ

According to the law of conservation of energy the rest of the total energy shall be converted to kinetic energy:

K.E = 9.6 KJ - 3.2 KJ

K.E = 6.4 KJ

At point C

At the lowest point C of the ride, the potential energy will become 0 KJ, and the whole energy shall be converted to kinetic energy, that is 9.6 KJ.

Learn more about the law of conservation of energy here:

https://brainly.com/question/12050604

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