Question

A ball has 116. 62 J of gravitational potential energy at a height of 85 m. What is the mass of the ball?.

Answer 1

We are given –

• Gravitational potential Energy $\sf E_k$= 116.62 J
• Hight, h = 85 m
• Gravitational acceleration, g =9.8 m/s ²
• Mass,m =?

Substituting values–

$\qquad$$\purple{ \bf \twoheadrightarrow E_k = mgh}$

$\qquad$$\bf \twoheadrightarrow E_k = m \times 9.8 \times 85$

$\qquad$$\bf \twoheadrightarrow 116.62 = m \times 833$

$\qquad$$\bf \twoheadrightarrow m \times 833 = 116.62$

$\qquad$$\bf \twoheadrightarrow m =\cancel{ \dfrac{116.62}{833}}$

$\qquad$$\purple{ \bf \twoheadrightarrow m = 0.14\: kg}$

• Henceforth , mass of ball 0.14 kg.

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