Question

A star destroyer of mass 12255 kg carries a tie fighter of mass 547 kg travels at a speed 345 m/s to the right. The tie fighter launches to the right and afterwards the star destroyer is moving backwards at a speed of -25 m/s. How fast did the tie fighter launch?

Answer 1

Answer on Question #65515-Physics-Other

A star destroyer of mass 12255 kg carries a tie fighter of mass 547 kg travels at a speed 345 m/s to the right. The tie fighter launches to the right and afterwards the star destroyer is moving backwards at a speed of -25 m/s. How fast did the tie fighter launch?

Solution

From the conservation of momentum:

$$(M + m)V = m v - M V'$$ $$m v = (M + m) V + M V'$$

The speed of the tie fighter is

$$v = \left(\frac{M}{m} + 1\right) V + \frac{M}{m} V' = \left(\frac{12255}{547} + 1\right) 345 + \frac{12255}{547} 25 = 8634 \frac{m}{s}.$$

Answer: 8634 $\frac{m}{s}$.

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