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A Rocket having initial mass $5 \times 10^{6} kg, which includes mass of fuel of mass 4 \times 10^{6} kg is ejecting$ gas with velocity 4000 m/s relative to Rocket. Then what will be the velocity of the Rocket when entire fuel finishes? $(\ln (5) = 1.6094)$

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6438 m/s

4500 m/s

3785 m/s

4000 m/s

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detailed solution

Correct option is A

V = urec.ln(mM)V = 4000.ln(5×1061×106)V = 4000 ln(5)V = 6437.75 m/s

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A Rocket having initial mass 5 × 106 kg, which includes mass of fuel of mass 4 × 106 kg is ejecting gas with velocity 4000 m/s relative to Rocket. Then what will be the velocity of the Rocket when entire fuel finishes? ln5=1.6094

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A Rocket having initial mass $5 \times 10^{6} kg, which includes mass of fuel of mass 4 \times 10^{6} kg is ejecting$ gas with velocity 4000 m/s relative to Rocket. Then what will be the velocity of the Rocket when entire fuel finishes? $(\ln (5) = 1.6094)$