Solve Physics Problem: 3000kg Space Capsule

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AI Thread Summary
A 3000kg space capsule traveling at 200m/s fires a 25kg projectile at 2000m/s perpendicular to its motion. The momentum conservation equation is applied, leading to a calculated speed of 1833.3m/s for the capsule after firing. The user expresses confusion about whether to use Pythagorean theorem for further calculations regarding the angle of direction change. Clarification on the correct approach to find the angle and final speed is requested. The discussion highlights the challenges of applying momentum principles in physics problems.
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Homework Statement



A 3000kg space capsule is traveling with a velocity of 200m/s. In an effort to alter its course, it fires a 25.0 kg projecticle perpendicular to its original direction of motion at a speed of 2000 m/s. What is the speed of the capsule and by what angle has its direction changed.

* my teacher said assume mass stays the same*

Homework Equations



P = mv
m1v1 + m2v2 = m1v1' + m2v2'
M = m1 + m2
V = combined velocity

The Attempt at a Solution



MV = m1v1' + m2v2'
(3000)(200) = (3000)(v1') + (25)(2000)
v1' = 1833.3

Is this right so far? I'm very confused and am not sure if I should be using Pythagoras to find it or what?
 
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Can anyone please help me out? I've been stuck on this question for over half an hour. :(
 
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