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.
Potential and Kinetic energy
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: https://brainly.com/question/14427111
