Question

A 2.00- kg ball has zero potential and kinetic energy.

Mariadrops the ball into a 10.0- m deep well. After the ball comes
to astop in the mud, the sum of its potential and kinetic
energyis?

Answer 1

- 196.2 J

Step-by-step explanation:

Given:

Mass of the ball = 2.00 kg

Height through which ball drops = 10.0 m

Since it is mentioned that the ball comes to a stop in the mud, therefore the velocity of the ball will be zero i.e v = 0 m/s

Thus.

the kinetic energy =
`(1)/(2)mv^2`

=
`(1)/(2)m*0^2` = 0 J

Now,

The potential energy = - mgh

here, g is the acceleration due to gravity

and, the negative sign depicts that the ball is falling down

thus,

The potential energy = - 2 × 9.81 × 10 = - 196.2 J

Hence, the total energy = - 196.2 + 0 = - 196.2 J