What is the speed of a particle whose momentum is 300mc Sho
What is the speed of a particle whose momentum is 3.00mc ?
Show equations and explain variables please & thank you.
Solution
here by using relativistic momentum
P = m *v / sqrt( 1 - v^2 / c^2 )
P = 3.00 m* c
then by solving both equation
3 * c * m = m * v / sqrt( 1 - v^2 / c^2)
1 - v^2 / c^2 = v^2 / 9c^2
9c^2 - 9v^2 = v^2
9c^2 = 10v^2
v = sqrt( 9 / 10) * c
the velcoity is sqrt( 9 / 10) * c