Question

$\huge\fbox\red{Question:-}$

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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Answer 1

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

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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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$\star\small\sf\underline\red{To \: Find:-}$

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The required mass of the body = ?

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

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

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

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

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

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$\star\small\sf\underline\green{AnSweR:-}$

The required mass of the body is 2.04 kg.

Answer 2

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$\huge\frak{\underline{\underline{\purple{Required \: answer:-}}}}$

$\red{\bigstar}$ $\large\boxed{\tt\green{2.04 \: kg}}$

Gíven :-

• Height (h) = 15 m

• Potential energy of a body (P.E) = 300 J

• Acceleration due to gravity (g) = 9.8 m².

To Fínd :-

• The mass of the body.

Sólutíon :-

Here,

$\:\red\looparrowright\:\:\sf {P.E = 300 \:J}$

$\:\:\purple\looparrowright\:\:\sf{m = \:?}$

$\:\:\:\green\looparrowright\:\:\sf {g=9.8 \:cm^2}$

$\:\:\:\:\blue\looparrowright\:\:\sf{h = 15\: m}$

Formula :-

• $\large\boxed{\underline{ \pink{\sf P.E = m \times g \times h }}}$

Putting the values together :-

$: \implies\sf{300 = m \times 9.8 \times 15}$

$: \implies\sf{300 = m \times 147}$

$: \implies\sf{m = \cancel\dfrac{300}{147} }$

$: \implies\sf{m = \dfrac{100}{49} }$

$\sf:\implies \underline{\boxed{\orange{\mathfrak{m= 2.04 \: kg}}}} \: \star$

$\displaystyle\therefore\:\underline{\textsf{The mass of a body is \: \textbf{0.24 kg}}}$

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