Rocket physics

         

A rocket's engine ejects fuel at a rate of 40 kg/s 40 \text{ kg/s} with an exhaust velocity of 4000 m/s. 4000 \text{ m/s}. If the rocket's initial mass is 24000 kg, 24000 \text{ kg}, what is the approximate change in velocity after 24 24 seconds?

A rocket whose mass is Mi=2600 kg, M_i = 2600 \text{ kg}, of which 2080 kg 2080 \text{ kg} is fuel, consumes fuel at a rate of R=26 kg/s. R = 26 \text{ kg/s}. The exhaust velocity of the fuel relative to the rocket engine is ve=400 m/s. v_e = 400 \text{ m/s}. If the fuel consumption rate is changed to double the thrust, how long can the rocket fire the engine?

A 5000 kg 5000 \text{ kg} space shuttle moving toward Moon with velocity 100 m/s 100 \text{ m/s} fires its rocket engine. The rocket engine ejects exhaust at a speed of 300 m/s 300 \text{ m/s} relative to engine. If the final speed of the shuttle is 130 m/s, 130 \text{ m/s}, what is the approximate amount of exhaust the shuttle has ejected?

A rocket of mass 5000 kg 5000 \text{ kg} ejects fuel at a rate of R=5 kg/s R = 5 \text{ kg/s} with an exhaust velocity of ve=3000 m/s. v_e = 3000 \text{ m/s}. If the rocket's initial velocity is vi=1800 m/s, v_i = 1800 \text{ m/s}, approximately how long will it take to reach a velocity of vf=2700 m/s? v_f =2700 \text{ m/s}?

A rocket whose initial mass is Mi=1380 kg M_i = 1380 \text{ kg} consumes fuel at rate of R=22 kg/s. R = 22 \text{ kg/s}. The exhaust velocity of fuel relative to the rocket engine is ve=200 m/s. v_e = 200 \text{ m/s}. Find the thrust that the rocket engine provides.

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