Question

an object of the mass 40 kg is raised to a height of 5m above the ground what is the potential energy if the object is allowed to fall find it kinetic energy when it's halfway down

Answer 1

_/\_Hello mate__here is your answer--

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Given:-

m = 40 kg

g = 9.8 m/s^2

h = 5 m

We know that,

potential energy = mgh

= 40 × 9.8 × 5 J

= 1960 J

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♦♦The total mechanical energy (Kinetic and potential energy) of an object remains constant. (law of conservation of energy)

Therefore, when the object is half-way down, its potential energy become half the original energy and remaining half converted into kinetic energy.

Hence, the kinetic energy = ½ (1960) J = 980 J

I hope, this will help you.☺

Thank you______❤

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Answer 2

ɢɪᴠᴇɴ:

ᴍᴀss (ᴍ) = 40 ᴋɢ

ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴅᴜᴇ ᴛᴏ ɢʀᴀᴠɪᴛʏ (ɢ)= 10ᴍ/s²

ʜᴇɪɢʜᴛ (ʜ)= 5ᴍ

ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ= ᴍ × ɢ× ʜ

ᴘ.= 40 × 10 × 5 = 2000ᴊ

ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ = 2000ᴊ ( 2000

ᴊᴏᴜʟᴇs)

ᴀᴛ ᴀ ʜᴇɪɢʜᴛ ᴏғ 5 ᴍᴇᴛʀᴇ ᴏʙᴊᴇᴄᴛ ʜᴀs ᴀ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ ᴏғ 2000 ᴊ.

ᴡʜᴇɴ ᴛʜɪs ᴏʙᴊᴇᴄᴛ ɪs ᴀʟʟᴏᴡᴇᴅ ᴛᴏ ғᴀʟʟ

ᴀɴᴅ ɪᴛ ɪs ʜᴀʟғ ᴡᴀʏ ᴅᴏᴡɴ ɪᴛs ʜᴇɪɢʜᴛ

ᴀʙᴏᴠᴇ ᴛʜᴇ ɢʀᴏᴜɴᴅ ᴡɪʟʟ ʙᴇ ʜᴀʟғ ᴏғ 5 ᴍ= 5/2= 2.5ᴍ.

ᴘ.ᴇ ᴀᴛ ʜᴀʟғ ᴡᴀʏ ᴅᴏᴡɴ= ᴍ× ɢ×ʜ

ᴘ.ᴇ= 40× 10 × 2.5= 1000ᴊ

[ʜ= 2.5 ᴍ]

ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ ᴀᴛ ʜᴀʟғ ᴡᴀʏ ᴅᴏᴡɴ= 1000 ᴊᴏᴜʟᴇs.

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ʟᴀᴡ ᴏғ ᴄᴏɴsᴇʀᴠᴀᴛɪᴏɴ ᴏғ ᴇɴᴇʀɢʏ:

ᴛᴏᴛᴀʟ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ= ᴘᴏᴛᴇɴᴛɪᴀʟ ᴇɴᴇʀɢʏ ᴀᴛ ʜᴀʟғ ᴡᴀʏ ᴅᴏᴡɴ+ ᴋɪɴᴇᴛɪᴄ ᴇɴᴇʀɢʏ ᴀᴛ ʜᴀʟғ ᴡᴀʏ ᴏғ ᴀ ᴅᴏᴡɴ

2000 = 1000 + ᴋ.ᴇ ᴀᴛ ʜᴀʟғ ᴡᴀʏ ᴅᴏᴡɴ

ᴋ.ᴇ ᴀᴛ ʜᴀʟғ ᴡᴀʏ ᴅᴏᴡɴ= 2000- 1000= 1000ᴊ ᴋɪɴᴇᴛɪᴄ ᴇɴᴇʀɢʏ ᴀᴛ ʜᴀʟғ ᴡᴀʏ

ᴅᴏᴡɴ= 1000 ᴊᴏᴜʟᴇs.