Question

Calculate the mass of a body if the energy possessed by it at the height of 15m above the ground is 300J
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.pls answer fast

Answer 1

Given,

• Height (h) = 15 m
• Potential energy of a body (P.E) = 300 J
• Acceleration due to gravity (g) = 9.8 m/s²

To Find,

• The mass of a body.

According to the question,

Applying potential energy formula,

P.E = mgh

[ Put the values ]

⇢ 300 = m × 9.8 × 15

⇢ 300 = m × 147

⇢ m = 300/147

⇢ m = 2.04 kg

Therefore,

The mass of a body is 2.04 kg.

For information,

Formula of Kinetic energy,

• K.E = ¹/2 × mv²

Formula of mechanical energy,

• M.E = P.E + K.E

Answer 2

$\star\small\sf\underline\blue{Given:-}$

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• The energy possessed by it at the height of 15m above the ground is 300J.
• The acceleration due to gravity is 9.8 m/s².

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$\star\small\sf\underline\blue{Find \: Out:-}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The required mass of the body = ?

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$\star\small\sf\underline\blue{Solution:-}$

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$\footnotesize\bold{\underline{\underline{\sf{\red{Formula\: Used:-}}}}}$

${\underline{\boxed{\sf{Potential\: Energy = Mass \times Gravity \times Height}}}}$

$\footnotesize\bold{\underline{\underline{\sf{\red{Putting\: the\: values:-}}}}}$

$\leadsto \sf \: 300 = Mass \times 9.8 \times 15 \\ \\ \leadsto \sf \: 300 = Mass \times 147 \\ \\ \leadsto \sf \: Mass = \cancel\dfrac{300}{147} \\ \\ \leadsto \sf\red{Mass} = \large{\boxed{\bf\blue{2.04 \: kg }}}$

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$\star\small\sf\underline\blue{AnswEr:-}$

• The required mass of the body is 2.04 kg.