Question

A comet is traveling through space with speed 3.41 ✕ 10⁴ m/s when it encounters an asteroid that was at rest. The comet and the asteroid stick together, becoming a single object with a single velocity. If the mass of the comet is 1.41 ✕ 10¹⁴ kg and the mass of the asteroid is 6.18 ✕ 10²⁰ kg, what is the final velocity of their combination? (Assume the comet's initial direction is positive. Indicate the direction with the sign of your answer.)

Answer 1

Here,

The conservation of momentum is,

Then,