Question
(a) Find the momentum of a $1.00 \times 10^9 \textrm{ kg}$ asteroid heading towards the Earth at 30.0 km/s . (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that $\gamma = 1 + \dfrac{1}{2} \dfrac{v^2}{c^2}$ at low velocities.)
1. $3.00 \times 10^{13} \textrm{ kg}\cdot\textrm{m/s}$
2. 1.000000005
Solution Video