Question

A fruit hangs from a tree and is about to fall to the ground of 10 meters height. It has potential energy of 22.5 J. Calculate the mass of the fruit

Answer 1

The mass of the fruit is equal to 0.23 kg

Given,

height, h = 10 m

potential energy, P.E = 22.5 J

To Find,

mass, m

Solution,

We have been given that fruit hanging on a tree is about to fall to the ground from a height of 10 m

Also, it possesses potential energy of 22.5 J

We know the formula of energy as follows:

$P.E = m \times g \times h$

where g is the acceleration due to gravity, and g = 9.8 m/s

substituting the known values in the above equation, we get

$22.5 = m \times 9.8 \times 10$

⇒ $m = \frac{22.5}{9.8\times10}$

⇒ $m = \frac{22.5}{98}$

⇒ $m = 0.22959 \hspace{0.1cm} kg$

⇒ $m \approx 0.23 \hspace{0.1cm} kg$

Therefore, the mass of the fruit is equal to 0.23 kg

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