how fast does a 15200 kg spaceship have to go for its relati
how fast does a 15,200 kg spaceship have to go for its relativistic momentum to exceed its classical momentum by a factor of 100%?
Solution
Here,
mass of spaceship ,m0 = 15200 Kg
let the speed of the spacehip is v
Now, for the spaceship\'s momentum to exceed its classical momentum 100 %
final momentum = m0*v/sqrt(1 - (v/c)^2)
2 * m0 * v = m0*v/sqrt(1 - (v/c)^2)
2 = 1/sqrt(1 - (v/c)^2)
solving for v
v = 0.866 * c
the speed of the spaceship must be 0.866 *c
