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A spaceship with a mass of 5.50 104 kg is traveling at 6.16 103 m/s relative...

A spaceship with a mass of 5.50 A spaceship with a mass of 5.50 104 kg is traveli 104 kg is traveling at 6.16 A spaceship with a mass of 5.50 104 kg is traveli 103 m/s relative to a space station. What mass will the ship have after it fires its engines in order to reach a speed of 7.78 A spaceship with a mass of 5.50 104 kg is traveli 103 m/s? Assume an exhaust velocity of 4.69 A spaceship with a mass of 5.50 104 kg is traveli 103 m/s.

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Answer #1

The change in momentum is: dp (m-dm)(v+dv)+(v-u)dm-mv with u the exhaust speed and v which, simplifying is: dpzmdv-udm derivating: dp d dm dt dt dt dm Solving for m: m=58.58x10^3Kg

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