Question

A ball of mass of 0.5kg is dropped from a height of 2m.

Assuming that all of the GPE is transferred to KE, what
will be the velocity of the ball when it hits the ground?​

Answer 1

6.3m/s

Step-by-step explanation:

Given parameters:

Mass of the ball = 0.5kg

Height = 2m

Unknown:

Velocity when the ball hits the ground = ?

Solution:

Since the potential energy is transformed into kinetic energy;

P.E = K.E

mgh =
`(1)/(2)` m v²

cancelling m;

gh =
`(1)/(2)` v²

v² = 2gh

v = √2gh

Insert the parameters and solve;

v = √2gh = √ 2 x 9.8 x 2 = 6.3m/s