Question

a ball was changed vertically upwards with kinetic energy 200 joule what will be the total energy and Midway​

Answer 1

Part 1; The total energy = Constant = 200 J

Part 2; Midway, the potential energy = The kinetic energy = 100 J

Step-by-step explanation:

Part 1

According to the first law of thermodynamics, energy is neither created nor destroyed but changed from one form to another

The total (mechanical) energy = Potential energy + Kinetic energy = Constant

The kinetic energy given to the ball changed vertically up = 200 J

Potential energy = Mass, m × Gravity, g × Height, h

Given that the mass m of the ball and the acceleration due to gravity, g, remain the same, we have;

Potential energy ∝ The height of the ball

The potential energy at ground level = 0 J (Height , h = 0)

∴ The total (mechanical) energy = 0 J + 200 J = 200 J

At the maximum height, the ball momentarily stops, and the kinetic energy = 0 J

Therefore;

The potential energy of the ball at the maximum height,
`h_(max)`,
`P.E._(max)` = 200 J

∴
`P.E._(max)` = m·g·
`h_(max)` = 200 J

Part 2

At midway we have, the height, h = (
`h_(max)`)/2

Therefore,
`P.E._(Midway)` = (m·g·(
`h_(max)`))/2 = (
`P.E._(max)`)/2 = (200 J)/2 = 100 J

The potential energy midway = 100 J

The remaining 200 J - 100 J = 100 J is the kinetic energy remaining in the ball

The kinetic energy midway = 100 J

Therefore, the total energy midway = 100 J + 100 J = 200 J