Proton is accelerated to a speed of 0.93c, what is the 1. a proton has a mass of 1.673 x 10-27 kg. if the proton is accelerated to a speed magnitude of the relativistic momentum of the proton? a. 6.2 x 10-17 kg. m/s b. 1.3 x 10-18 kg. m/s c. 4.7 x 10-19 kg. m/s d. 5.9 x 10-24 kg. m/s e. 1.8 * 10-18 kg . m/s

Answer : The correct option is, (B)

Explanation : Given,

Mass of proton =

Speed of proton = 0.93 c

Formula used for relativistic momentum of the proton is:

where,

p = relativistic momentum of the proton

= mass of proton

v = speed of proton

c = speed of light =

Now put all the given values in the above formula, we get:

Therefore, the relativistic momentum of the proton is,

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s