Acceleration of Space ship with thrust

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SUMMARY

The discussion focuses on calculating the thrust and acceleration of a space vehicle during launch. The thrust produced by the engine is confirmed to be 65,550,000 N, based on a fuel consumption rate of 1.90 x 10^4 kg/s and an exhaust speed of 3.45 x 10^3 m/s. The next step involves determining the vehicle's acceleration at lift-off, considering its initial mass of 3.00 x 10^6 kg and all acting forces, including gravity. A free body diagram is recommended for clarity in understanding the forces at play.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic principles of rocket propulsion
  • Understanding of free body diagrams
  • Knowledge of gravitational force calculations
NEXT STEPS
  • Calculate the acceleration of the vehicle using the formula: a = (Thrust - Weight) / Mass
  • Study the principles of rocket propulsion in detail, focusing on the Tsiolkovsky rocket equation.
  • Learn how to draw and interpret free body diagrams for dynamic systems.
  • Explore the effects of varying fuel consumption rates on thrust and acceleration.
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Aerospace engineers, physics students, and anyone interested in the mechanics of rocket launches and thrust calculations.

mtv
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New to the forum looking for Acceleration of Space ship with thrust

The first stage of a space vehicle consumed fuel and oxidizer at the rate of 1.90 104 kg/s with an exhaust speed of 3.45 *10^3 m/s.


(a) Calculate the thrust produced by this engine.
I got 65550000 N this answer was correct.


(b) Find the acceleration the vehicle had just as it lifted off the launch pad on the Earth, taking the vehicle's initial mass as 3.00* 10^6 kg.
But I am stuck on this question
 
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mtv said:
The first stage of a space vehicle consumed fuel and oxidizer at the rate of 1.90 104 kg/s with an exhaust speed of 3.45 *10^3 m/s.


(a) Calculate the thrust produced by this engine.
I got 65550000 N this answer was correct.


(b) Find the acceleration the vehicle had just as it lifted off the launch pad on the Earth, taking the vehicle's initial mass as 3.00* 10^6 kg.
But I am stuck on this question

Be sure to take into account all the forces that are acting on the vehicle. Draw a free body diagram for the instant of launch.
 

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