Acceleration of Space ship with thrust

AI Thread Summary
The discussion focuses on calculating the thrust and acceleration of a space vehicle during launch. The thrust produced by the engine was correctly calculated at 65,550,000 N based on fuel consumption and exhaust speed. The next step involves determining the vehicle's acceleration at lift-off, considering its initial mass of 3,000,000 kg. Participants are encouraged to account for all acting forces and to create a free body diagram for clarity. The conversation emphasizes the importance of thorough analysis in understanding vehicle dynamics at launch.
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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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