TP 29.42

          Given:   m0 = 8.20 x 1011 kg

 

                        p = 7.74 x 1020 kg-m/s

 

           Find:   v - ?

 

p = m0 v /(1-v2/c2)1/2

p/m0 = v /(1-v2/c2)1/2

(p/m0)2 = v2 /(1-v2/c2)

(p/m0)2(1-v2/c2) = v2

(p/m0)2 – (v2/c2) (p/m0)2  = v2

(p/m0)2 = (v2/c2) (p/m0)2  + v2

(p/m0)2 = v2((p/m0)2/c2 + 1)

(p/m0)2/((p/m0)2/c2 + 1)  = v2

v = 2.85 x 108 m/s