Question

4500 J of energy is used to raise an object with a mass of 50 kg to a height h .Calculate h

Answer 1

Given :-

• Potential Energy (P.E) = 4500 J
• Acceleration de to gravity (g) = 10 (approx of 9.8)
• Mass (m) = 50 kg.

To Find :-

• Height (h)

We have to find the height (h) here and we know the formula of Potential Energy (P.E) = m × g × h

In this, we have P.E , m & g and h isn't there

So, we put the values and solve it

→ P.E = m × g × h

→ 4500 = 50 × 10 × h

→ 4500 = 500 h

→ 500h = 4500

→ h = 4500/500

→ h = 9

Thus, the height is 9 m

Answer 2

Answer

Given :-

• Energy, E = 4500 J
• Mass, M = 50 kg
• Acceleration due to gravity, g = 9.8 m/s²

To find :-

• Height - h

Solution :-

• E = 4500 J
• M = 50 kg
• g = 9.8 m/s²

Substituting the value in formula :-

⟹ $\boxed{\sf E = mgh}$

⟹ $\sf 4500 = 50 \times 9.8 \times h$

⟹ $\sf 4500 = 490h$

⟹ $\sf h = \frac{450\cancel{0}}{49\cancel{0}}$

⟹ $\sf h = 9.18 m$