Question

if 'm' is the mass of a body, 'v' it's velocity and 'p' the momentum then write a relationship between change in momentum , mass and velocity of the body when - 1) v is almost equal to c . the velocity of light .2) v is very less as compare to c . the velocity of light.

Answer 1

1) when the velocity is equal to c :
∆p(change in momentum)= ∆(mass*velocity)
as mass differs with velocity as per the expression m=m(rest mass)/√1-v²/c so Delta sign would also apply to mass

2) when v<<c
∆p=m∆v
as the velocity is very less compared to c
then mass hardly changes so there is no need to add Delta∆ sign in front of m

Answer 2

Answer:

1) when the velocity is equal to c :

∆p(change in momentum)= ∆(mass*velocity)

as mass differs with velocity as per the expression m=m(rest mass)/√1-v²/c so Delta sign would also apply to mass

2) when v<<c

∆p=m∆v

as the velocity is very less compared to c

then mass hardly changes so there is no need to add Delta∆ sign in front of m