what is momentum? and how to derive the formula..
Anonymous:
Do you want the derivation of Conservation of momentum?
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It is the product of mass and velocity. Its SI Unit is kg m/s. It is vector quantity due to the velocity. It denoted by 'p'.
p = m × v
p = m × v
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Initial linear momentum = mu
final linear momentum = mv
change in linear momentum in 't' seconds = mv - mu
rate of change of linear momentum = mv - mu/ t
according to Newton's second law of motion, F is directly proportional to mv-mu/t OR
F is directly proportional to m(v-u)/t
from equations of motion, v-u/t = a
Therefore, F is directly proportional ma⇒F=kma where 'k' is constant of proportionality
Thus, F = kma⇒(unit force) = k(unit mass)(unit acceleration)
1=k × 1×1
Thus, F = ma
final linear momentum = mv
change in linear momentum in 't' seconds = mv - mu
rate of change of linear momentum = mv - mu/ t
according to Newton's second law of motion, F is directly proportional to mv-mu/t OR
F is directly proportional to m(v-u)/t
from equations of motion, v-u/t = a
Therefore, F is directly proportional ma⇒F=kma where 'k' is constant of proportionality
Thus, F = kma⇒(unit force) = k(unit mass)(unit acceleration)
1=k × 1×1
Thus, F = ma
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