(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two spacecraft from different nations have linked in space and are coasting with their engines off, heading directly toward Mars. The spacecrafts are thrust apart by large springs. Spacecraft 1, with a mass of 1.9 x 10^4 kg, then has a velocity of 3.5 x 10^3 km/h at 5.1 degrees to its original direction. Spacecraft 2, whose mass is 1.7 x 10^4 kg, has a velocity of 3.4 x 10^3 km/h at 5.9 degrees to its original direction. Determine the original speed of the two craft when they were linked together.

m1 = 1.9 x 10^4 kg

v1 = 972 m/s

m2 = 1.7 x 10^4 kg

v2 = 944 m/s

2. The attempt at a solution

Pf1 = (1.9 x 10^4 kg)(972 m/s) = 1.8 x 10^7 Ns

Pf2 = (1.7 x 10^4 kg)(944 m/s) = 1.6 x 10^7 Ns

The initial momentum will be the parallel components of the final momentum, so

Pti = (1.8 x 10^7 Ns)(cos5.1) + (1.6 x 10^7 Ns)(cos5.9) = 3.4 x 10^7 Ns

v = (3.4 x 10^7 Ns)/(3.6 x 10^4 kg) = 944 m/s

I'm not sure of it at all, help appreciated.

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# Momentum in Two Dimensions

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