Question

two bodies A and B of masses 10 kg and 20 kg respectively are at the same height above the ground. which of the two has the greater potential energy​

Answer 1

$\huge\mathfrak\orange{\underline{\underline{Question}}}$

ᴛᴡᴏ ʙᴏᴅɪᴇs ᴀ ᴀɴᴅ ʙ ᴏғ ᴍᴀssᴇs 10 ᴋɢ ᴀɴᴅ 20 ᴋɢ ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ ᴀʀᴇ ᴀᴛ ᴛʜᴇ sᴀᴍᴇ ʜᴇɪɢʜᴛ ᴀʙᴏᴠᴇ ᴛʜᴇ ɢʀᴏᴜɴᴅ. ᴡʜɪᴄʜ ᴏғ ᴛʜᴇ ᴛᴡᴏ ʜᴀs ᴛʜᴇ ɢʀᴇᴀᴛᴇʀ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ ?

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

$\huge\mathfrak\blue{\underline{\underline{Solution}}}$

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

ᴛʜᴇ ʙᴏᴅʏ ʙ ʜᴀᴠɪɴɢ ᴍᴀss 20 ᴋɢ ʜᴀs ᴛʜᴇ ɢʀᴇᴀᴛᴇʀ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ. ᴛʜɪs ᴄᴀɴ ʙᴇ ᴇxᴘʟᴀɪɴᴇᴅ ᴀs ғᴏʟʟᴏᴡs :

ᴘ.ᴇ. = ᴍɢʜ .

ғᴏʀ ʙᴏᴛʜ ᴛʜᴇ ʙᴏᴅɪᴇs ɢʀᴀᴠɪᴛʏ ᴀɴᴅ ʜᴇɪɢʜᴛ ᴀʀᴇ sᴀᴍᴇ sᴏ ᴛʜᴇ ʙᴏᴅʏ ᴡɪᴛʜ ɢʀᴇᴀᴛᴇʀ ᴍᴀss ᴘᴏssᴇssᴇs ɢʀᴇᴀᴛᴇʀ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ.

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀•━━━ ✽ • ✽ ━━━•

Answer 2

The body B having mass 20 kg has the greater potential energy. This can be explained as follows :P.E. = mgh .

The body B having mass 20 kg has the greater potential energy. This can be explained as follows :P.E. = mgh .For both the bodies gravity and height are same so the body with greater mass possesses greater potential energy.