Below is a table of values of gamma. At what speed (approximately) is the kinetic energy of a particle equal to its rest mass energy?
Yellow: v=0.50c Pink: v=0.75c Green: v=0.87c Blue: v=0.96c
Purple: None of these (to two place precision).
|
v/c |
gamma |
|
0.1 |
1.0050 |
|
0.5 |
1.155 |
|
0.6 |
1.250 |
|
0.7 |
1.400 |
|
0.8 |
1.667 |
|
0.9 |
2.29 |
|
0.95 |
3.20 |
|
0.99 |
7.09 |
|
0.999 |
22.4 |
|
0.9999 |
70.7 |
|
0.99999 |
223 |
Answer: v=0.87c. Gamma = 2