From the law of conservation of momentum, the velocity of the rocket after the fuel is expelled is 1.09 m/s.
The law of conservation of momentum is employed in determining the velocity of the rocket after the fuel is expelled.
According to the law of conservation of linear momentum:
where;
m1 be the mass of the rocket = 3.0 kg
m2 - the mass of fuel = 640 g or 0.64 kg
v1 - velocity of the rocket after the fuel has been expelled
v2 - average velocity of expelled fuel = 5.1 m/s
making v1 subject of the equation of the conservation of momentum
v1 = v2*m2 / m1
v1 = 5.1 * 0.64/3
v1 = 1.09m/s
Therefore, the velocity of the rocket after the fuel is expelled is 1.09 m/s.
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