ᴡʀɪᴛᴇ ᴛʜᴇ ʟᴀᴡ ᴏғ ᴄᴏɴsᴇʀᴠᴀᴛɪᴏɴ ᴏғ ᴍᴏᴍᴇɴᴛᴜᴍ ᴀɴᴅ ᴘʀᴏᴠᴇ ɪᴛ ?
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Law of conservation of momentum
when the two bodies collide they exert a force on each other
let,
massof body 1 = m1 and mass of body 2 = m2
initial velocity of body1=u1 and initial velocity of body 2=u2
final velocity of body1=v1 and final velocity of body 2= v2
time duration =t
if f1and f2 is the force exerted by the body 1 and 2
then,
F1= m1(v1-u1)/t and F2=m2(v2-u2)/t
from newtom third law of motion action reaction are equal
so, we can write
F1=-F2
or , m1(v1-u1)/t = - m2(v2-v1)/t
m1v1+m2v2=m1u1+m2u2
thus,
sum of the final momentum of two bodies = sum of the initial momentum of the two bodies
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