Statics and Dynamics Quiz
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DYNAMICS
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A rocket (modeled as a particle) of initial mass M0=1000 kgM_0 = 1000 \text{ kg} ejects mass at a constant rate m˙=20 kg/s\dot{m} = 20 \text{ kg/s} with an exhaust speed of ve=500 m/sv_e = 500 \text{ m/s} relative to the rocket. The rocket moves in free space (no gravity). At t=0t = 0, the rocket is at rest.
Using the variable-mass impulse-momentum principle, what is the rocket's velocity at t=10 st = 10 \text{ s}? Assume the thrust force equals m˙ve\dot{m}v_e and the mass at time tt is M(t)=M0−m˙tM(t) = M_0 - \dot{m}t.
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