Question

A body is situated at the height of 20 m from the ground The potential energy of a body is 100Joule. Calculate the mass of the body.(given g=10m/s²) 0.5kg, 0.5g, 5kg, 5g​

Answer 1

Provided that:

• Height = 20 m
• Potential energy = 100 J
• g = 10 mps sq.

To calculate:

• Mass

Solution:

• Mass = 0.5 kg

Using concept:

• Potential energy formula

Using formula:

• PE = mgh

Where, PE denotes potential energy, m denotes mass, g denotes acceleration due to gravity and h denotes height.

Required solution:

»»» Potential energy = mgh

»»» 100 = m × 10 × 20

»»» 100 = m × 200

»»» 100/200 = m

»»» 1/2 = m

»»» m = 0.5 kg

»»» Mass = 0.5 kg

• Henceforth, mass = 0.5 kg Therefore, option (1) is correct! $\:$

Answer 2

✠ Question :-

A body is situated at the height of 20 m from the ground. The potential energy of a body is 100Joule. Calculate the mass of the body.

⠀

✠ Answer :-

• The Mass of body = 0.5 kg .

⠀

✠ Explanation :-⠀

⟼ Given :-

• Height = 20 Metre
• Potential Energy = 100 Joule
• G = 10 m/s²⠀

⟼ To Find :-

• Mass of the body ?⠀

⟼ Solution :-

⠀⠀⠀⠀$\small\sf \pink{Formula \: Required :-} \: \sf{PE = mgh} \\ \\ \small \sf{100 = m\times10 \times 20 } \\ \\ \small \sf{100 = } \: m \times 200 \\ \\ \small \sf{m = \cancel\frac{100}{200} } \\ \\ \small \sf{m = \frac{1}{2} } \\ \\ \small \sf{m = 0.5} \\ \\ \Longrightarrow \: \small \sf \pink{Mass = 0.5 \: kg}$

⟼ Hence :-

• The correct option is First .

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