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A Space ship of mass 5000 kg is heading towards the moon and wants to change...

A Space ship of mass 5000 kg is heading towards the moon and wants to change its trajectory by 20 degrees relative to original path. The rocket has a velocity of 110 m/s. How much gas must be used up if it burns its rockets (using up fuel) and expels gas at a velocity of 1200 m/s (perpendicular to its direction of motion)? Please show and explain as much work as possible. Thank you!

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