A 5.65 103-kg rocket takes off from the moon where the acceleration due to gravity is 1.60 m/s2 by exhausting 6.60 kg of gas per second at a speed of 2.20 103 m/s. Determine the acceleration of the rocket.

5 m/s2

Explanation:

The equation of impulse for the exhaust gas leaving the rocket can be modeled as the following:

where m is the mass of the exhaust gas, v is the speed of the exhaust gas, F is the force generated by exhaust gas leaving the rocket, and Δt is the time it takes. This equation can be transformed to the following:

Using Newton 2nd law we can find the acceleration generated by this

Taking the moon gravity into account, the net acceleration would be

a = 6.6 - 1.6 = 5 m/s2