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VashaNatasha [74]
3 years ago
10

Consider the 4-step staircase. All steps provide an equal elevation gain. The potential energy (PE) on the top step is 16.0 J. D

etermine the PE and KE values of the ball at the indicated positions. (I entered the other values)

Physics
1 answer:
iragen [17]3 years ago
6 0

Potential energy, PE = 0, 4, 8 and 12 at level 1, 2, 3, 4 respectively.

At Level 5, potential energy = 0 and Kinetic energy = 24 J.

<h3>Potential and Kinetic energy</h3>

Potential energy is the energy a body has by virtue of its position or state.

The formula for calculating the potentials energy of a body is given as:

  • Potential energy, PE = mgh

where m = mass of the body

g = acceleration due to gravity

h = height

Kinetic energy is the the energy a body has by virtue of its motion.

The formula for calculating kinetic energy of a body is given as:

  • Kinetic energy, KE = 1/2mv^2

The sum of the kinetic energy and potential energy of a body is constant.

Assume the ball has unit mass; m = 1

g = 10 m/s^2

At the top, total energy of the body = 16 + 8 = 24J

Calculating the gain in height for each step:

At Level 4, PE = 16 J

mgh = 16 J

1 × 10 × h = 16

h = 16/10

h = 1.6 m

Since there are four steps, each step will have a height increase = 1.6/4 = 0.4

At Level 1, h = 0

PE = 0 × 1 × 10

PE = 0 J

At Level 2, h = 0.4 m

PE = 0.4 × 1 × 10

PE = 4 J

At Level 3, h = 0.8 m

PE = 0.8 × 1 × 10

PE = 8 J

At Level 5, PE + KE = 24 J

Since PE = 0

KE = 24

Therefore, potential energy, PE = 0, 4, 8 and 12 at level 1, 2, 3, 4 respectively.

At Level 5, potential energy = 0 and Kinetic energy = 24 J.

Learn more about potential energy and Kinetic energy at: brainly.com/question/14427111

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