a rocket ship at an interstellar fuel station and fills it\'s fuel tank. the mas

Question

a rocket ship at an interstellar fuel station and fills it's fuel tank. the mass of the fuel is 0.35 times the total mass of the ship. starting from rest what is the maximum speed the rocket ship can attain one tank of fuel? the exhaust velocity is 4.5*10^3 m/s a rocket ship at an interstellar fuel station and fills it's fuel tank. the mass of the fuel is 0.35 times the total mass of the ship. starting from rest what is the maximum speed the rocket ship can attain one tank of fuel? the exhaust velocity is 4.5*10^3 m/s a rocket ship at an interstellar fuel station and fills it's fuel tank. the mass of the fuel is 0.35 times the total mass of the ship. starting from rest what is the maximum speed the rocket ship can attain one tank of fuel? the exhaust velocity is 4.5*10^3 m/s

Explanation / Answer

Maximum speed would be at the time the engines are cut off since the force is always positive during the time the engines are firing so acceleration will also always be positive.

initial momentum = final momentum

1.35 m *4.5*10^3 = m* v
1.35 *4.5*10^3 = v
v = 6.075 x 10^3 m/s = 6.075 km/s

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