While painting the walls of his house, a person stands on a ladder...

While painting the walls of his house, a person stands on a ladder holding a bucket containing paint in one hand and a brush in the other. Suddenly, the bucket slips from his grasp and falls to the floor. If the bucket with the paint possessed a mass of

6.0 \text{ kg}

and was at a height of

2.0 \text{ m}

when it slipped, how much gravitational potential energy is lost together with the paint?

Options

A $59 \text{ J}$
B $120 \text{ J}$
C $118 \text{ J}$
D $235 \text{ J}$

Correct answer

C. $118 \text{ J}$

Step-by-step solution

The loss in gravitational potential energy is given by:

\Delta U = mgh

Substituting the given values

m = 6.0 \text{ kg}

h = 2.0 \text{ m}

, and

g = 9.8 \text{ m/s}^2

\Delta U = 6.0 \times 9.8 \times 2.0

\Delta U = 117.6 \text{ J}

Rounding to the nearest integer, the lost gravitational potential energy is

118 \text{ J}

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