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A rocket in deep space has an empty mass of 160 kg and exhausts the hot gases of burned fuel at 2500 m/s. What mass

A rocket in deep space has an empty mass of 160 kg and exhausts the hot gases of burned fuel at 2500 m/s.

What mass of fuel is needed to reach a top speed of 4000 m/s?

I thought it was 100kg but it wasnt.

 

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