Question

A particle of rest mass 0 moves with a speed of 0.9. Calculate its relativistic mass and momentum.

Answer 1

Answer:

We assume that the clock is at rest in S

0

. As observed by stationary observers in S, the clock moves in the

positive x-direction with speed v. Text Eq. (1.30):

t = γ

t

0 +

vx0

c

2

(1)

relates the time t measured in S with the time t

0 measured in S

0 where

γ =

1

p

1 − β

2

(2)

and

β = v/c (3)

Let ∆t

0 be a time interval measured by an observer at rest in S

0

. (∆t

0

is a proper time. ∆t

0

is measured

when ∆x

0 = 0.)