Question

direve conservation of momentum

Answer 1

Hey ya Himanshi...here is ur answer!✌️✌️
__________

●Law of conservation states that when 2 objects collide with each other, the sum of their linear momentum always remain same/conserved.

●Derivation
let,

mA = Mass of A
mB = ______B

uA = Initial velocity of A
uB = _____________B

vA = Velocity after collision of A
vB = ___________________B

Fab = Force exerted by A on B
Fba = _____________B on A

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Now,

●Change in momentum of A = momentum of A after collision - momentum of A before collision

= mA vA - mA uA

Rate of change of momentum A = change in momentum of A ÷ Time

= (mA vA - mA uA) ÷ t

Fba = (mA vA - mA uA) ÷ t ......【1】

In the same way...

●Rate of change of momentum of B =

(mB vB - mB uB) ÷ t

Fab = (mB vB - mB uB) ÷ t ......【2】

●Now, accr to Newton's 3rd law of motion
(every action has an equal n' opposite reaction)

Fab = -Fba
( - sign is used to show that the Object A is moving in opposite direction after the collision)

●By using eq. 【1】&【2】

(mA vA - mA uA) ÷ t = -(mB vB - mB uB) ÷ t
mA vA - mA uA = -(mB vB - mB uB)

◆ mA vA + mB vB = mB uB + mA uA

So, it was the *Derivation of conservation of Linear Momentum*

__________

I hope this will help u.....☺️^-^☺️

Answer 2

ᴀɴsᴡᴇʀ࿐

ᴅᴇғɪɴɪᴛɪᴏɴ:-

ᴍᴏᴍᴇɴᴛᴜᴍ ɪs ᴛʜᴇ ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏғ ᴍᴏᴛɪᴏɴ ᴏғ ᴀ ᴍᴏᴠɪɴɢ ʙᴏᴅʏ, ᴍᴇᴀsᴜʀᴇᴅ ᴀs ᴀ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ɪᴛs ᴍᴀss ᴀɴᴅ ᴠᴇʟᴏᴄɪᴛʏ.

=>ᴍᴏᴍᴇɴᴛᴜᴍ= ᴍᴀss × ᴠᴇʟᴏᴄɪᴛʏ

ᴅɪᴍᴇɴsɪᴏɴᴀʟ ғᴏʀᴍᴜʟᴀ ᴏғ ᴍᴏᴍᴇɴᴛᴜᴍ

=>ᴘ = [ᴍ]x [ʟᴛ^(-1)]

ᴄᴏɴsᴇʀᴠᴀᴛɪᴏɴ ᴏғ ᴍᴏᴍᴇɴᴛᴜᴍ:-

ʟᴀᴡ ᴏғ ᴄᴏɴsᴇʀᴠᴀᴛɪᴏɴ ᴏғ ᴍᴏᴍᴇɴᴛᴜᴍ ɪs ᴅᴇғɪɴᴇᴅ ᴀs ᴀ ᴘʀɪɴᴄɪᴘʟᴇ ɪɴ ᴘʜʏsɪᴄs ᴛʜᴀᴛ sᴛᴀᴛᴇs ᴛʜᴀᴛ ғᴇᴡ ᴘᴀʀᴛs ɪɴ ᴀɴ ɪsᴏʟᴀᴛᴇᴅ sʏsᴛᴇᴍ ʀᴇᴍᴀɪɴɪɴɢ sᴛᴇᴀᴅʏ ᴀɴᴅ ᴜɴᴄʜᴀɴɢɪɴɢ ᴏᴠᴇʀ ᴛɪᴍᴇ ᴇᴠᴇɴ ᴡʜᴇɴ ᴏᴛʜᴇʀs ᴀʀᴇ ᴍᴏᴠɪɴɢ.