Rocket System Momentum Conservation
A rocket with an initial mass of M₀ = 1000 kg is at rest in deep space. It expels fuel at a constant rate of dm/dt = -5.0 kg/s with a velocity of v_ex = 2000 m/s relative to the rocket. What is the total momentum of the rocket-and-fuel system after 100 seconds?
A
1.0×10⁶ kg·m/s
B
5.0×10⁵ kg·m/s
C
0 kg·m/s
D
2.0×10⁶ kg·m/s
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