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In a rocket the mass of the fuel is 90% of the total mass. The rocket is blasted from the launching pad. If the exhaust gases are ejected at a rate of $500 {ms}^{- 1}$ what is the maximum speed attained by the rocket ? Neglect the effects of gravity and air resistance.

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1.15kms−1

1kms−1

1.5kms−1

9kms−1

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detailed solution

Correct option is A

Maximum speed attained =Vmax=VlnM0McAs mass of the fuel is 90% of the total mass=500×2.303log10⁡10=1.15kms−1∵Mc= mass of the container =M∘−90100M∘=10100M∘⇒M∘Mc=10

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In a rocket the mass of the fuel is 90% of the total mass. The rocket is blasted from the launching pad. If the exhaust gases are ejected at a rate of 500ms−1what is the maximum speed attained by the rocket ? Neglect the effects of gravity and air resistance.

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Ready to Test Your Skills?

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In a rocket the mass of the fuel is 90% of the total mass. The rocket is blasted from the launching pad. If the exhaust gases are ejected at a rate of $500 {ms}^{- 1}$ what is the maximum speed attained by the rocket ? Neglect the effects of gravity and air resistance.