The relativistic momentum of the rocket differ from the ordinary momentum by a factor of 1.2m.
The relativistic momentum of the rocket is calculated as follows;
[tex]P = \frac{mv}{\sqrt{1- \frac{v^2}{c^2} } } \\\\P = \frac{m(12010)}{\sqrt{1- \frac{(12010)^2}{(3\times 10^8)^2} } } \\\\P = 12,011.2 m \ (kgm/s)[/tex]
where;
The ordinary momentum of the rock is calculated from the product of mass and velocity of the rocket.
P = mv
P = 12010m (kgm/s)
ΔP = 12,011.2m - 12,010m
ΔP = 1.2m
Thus, the relativistic momentum of the rocket differ from the ordinary momentum by a factor of 1.2m.
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