Question

1. Calculate the potential energy, kinetic energy, mechanical energy, velocity, and height of the ball at the various locations.

Answer 1

At 1.

`PE = mgh = 50 * 9.8 * 4 = 1960J`.

`KE = O`

`ME = PE + KE = 1960 + 0 = 1960J`

`V=0`

At 2.

`PE = 50 * 9.8 * 3 = 1470J`

`KE= 1960 - 1970 = 490J`

`ME = PE + KE = 1960J`.

From CO E-

`(1)/(2) * 50 * V^2 = 1960 - 1470 = 490`

`V = \sqrt{(490)/(23) } =4.43m/s.`

At 3.

`PE = 0`

`KE= 1960J`

`ME = 1960J`

`V=\sqrt{(2 * 1960)/(50) } =8.854 m/s`

At 4.

`PE = 1960-900 = 1060J`

`KE= (1)/(3) * 50* 6^2 = 900J`

`ME = 1960J`.

`V = 6 m/s`

What is energy and velocity?

Energy is an intrinsic characteristic of matter, characterized by its ability to perform work or generate heat. It exists in diverse manifestations including kinetic energy, potential energy, thermal energy, chemical energy, among other forms.

Velocity, conversely, is a vector quantity illustrating the speed and direction of an object's movement, denoting the rate of change of its position over time.