Question

A body of mass 20kg is kept at a height of 15m. Calculate the potential energy of the body.

Answer 1

Answer:

Given :-

• A body of mass 20 kg is kept at a height of 15 m.

To Find :-

• What is the potential energy of the body.

Formula Used :-

$\clubsuit$ Potential Energy Formula :

$\mapsto \sf\boxed{\bold{\pink{P.E =\: mgh}}}$

where,

• P.E = Potential Energy
• m = Mass in (kg)
• g = Acceleration due to gravity (9.8 m/s²)
• h = Height in (m)

Solution :-

Given :

$\bigstar\: \: \bf{Mass\: (m)=\: 20\: kg}$

$\bigstar\: \: \bf{Acceleration\: due\: to\: gravity\: (g) =\: 9.8\: m/s^2}$

$\bigstar\: \: \bf{Height\: (h) =\: 15\: m}$

According to the question by using the formula we get,

$\longrightarrow \bf P.E =\: mgh$

$\longrightarrow \sf P.E =\: (20)(9.8)(15)$

$\longrightarrow \sf P.E =\: 20 \times 9.8 \times 15$

$\longrightarrow \sf P.E =\: 196 \times 15$

$\longrightarrow \sf\bold{\red{ P.E =\: 2940\: J}}$

${\small{\bold{\underline{\therefore\: The\: potential\: energy\: of\: the\: body\: is\: 2940\: J\: .}}}}$

Answer 2

$\huge\fcolorbox{lime}{black}{\color{lime}{Answer}}$

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$\sf \red {potential\: Energy:-}$

➳ɪᴛ ɪs ᴛʜᴇ ᴇɴᴇʀɢʏ ᴘᴏssᴇssᴇᴅ ʙʏ ᴀ ʙᴏᴅʏ ʙʏ ᴠɪʀᴛᴜᴇ ᴏғ ɪᴛs ᴘᴏsɪᴛɪᴏɴ ʀᴇʟᴀᴛɪᴠᴇ ᴛᴏ ᴏᴛʜᴇʀs, sᴛʀᴇssᴇs ᴡɪᴛʜɪɴ ɪᴛsᴇʟғ, ᴇʟᴇᴄᴛʀɪᴄ ᴄʜᴀʀɢᴇ, ᴀɴᴅ ᴏᴛʜᴇʀ ғᴀᴄᴛᴏʀs.

➳ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ ɪs ᴀ sᴄᴀʟᴀʀ ǫᴜᴀɴᴛɪᴛʏ ᴀɴᴅ ɪs ᴍᴇᴀsᴜʀᴇᴅ ɪɴ ᴊᴏᴜʟᴇs(J).

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Ⓔⓧⓐⓜⓟⓛⓔⓢ:-

1. ᴀ ʙᴏᴏᴋ ᴏɴ ᴀ ᴛᴀʙʟᴇ ʙᴇғᴏʀᴇ ɪᴛ ғᴀʟʟs.
2. ᴀ ʏᴏ-ʏᴏ ʙᴇғᴏʀᴇ ɪᴛ ɪs ʀᴇʟᴇᴀsᴇᴅ.

________________________

Ⓕⓞⓡⓜⓤⓛⓐ:-

$\sf {\fbox {P.E=mgh}}$

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Ⓦⓗⓔⓡⓔ,

➳ᴍ ɪs ᴛʜᴇ ᴍᴀss ᴏғ ᴛʜᴇ ʙᴏᴅʏ (ɪɴ ᴋɪʟᴏɢʀᴀᴍs)

➳ɢ ɪs ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴅᴜᴇ ᴛᴏ ɢʀᴀᴠɪᴛʏ

➳ɢ= ${9.8m/s^{2}}$ ᴀᴛ ᴛʜᴇ sᴜʀғᴀᴄᴇ ᴏғ ᴛʜᴇ ᴇᴀʀᴛʜ

➳ʜ ɪs ᴛʜᴇ ʜᴇɪɢʜᴛ (ɪɴ ᴍᴇᴛʀᴇs)

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$\sf\purple{Now,\: comming\: to\: the\: problem:-}$

ⓖⓘⓥⓔⓝ:-

➳ᴍᴀss ᴏғ ᴛʜᴇ ʙᴏᴅʏ (ᴍ)=20 ᴋɢ

➳ʜᴇɪɢʜᴛ (ʜ)=15ᴍ

Ⓐⓝⓓ,

${➳g=9.8m/s^{2}}$

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$\sf\pink{Using\: the\: formula:-}$

$➳{P.E=mgh}$

$➳{P.E=20kg×15m×9.8m/s^{2}}$

${➳P.E=2940kgm^{2}/s^{2}}$

${➳P.E=2940J}$

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$\sf\orange{Henceforth,}$

➳ ᴛʜᴇ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ(P.E) ᴏғ ᴛʜᴇ ʙᴏᴅʏ ɪs,

$\sf {\fbox {P.E=2940Joules}}$

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$\fcolorbox{lime}{black}{\color{lime}{Hope\: it\: works}}$