thrust force getting from the burning of mass should balance the weight of the rocket
here thrust force is given as
[tex]F_t = v\frac{dm}{dt}[/tex]
now by force balance we can say
[tex]mg = v \frac{dm}{dt}[/tex]
now plug in all values in this
[tex](2 \times 10^6)(9.8) = 3500 \times \frac{dm}{dt}[/tex]
[tex]\frac{dm}{dt} = \frac{19.6 \times 10^6}{3500}[/tex]
[tex]\frac{dm}{dt} = 5600 kg/s[/tex]
so rate of mass burning per second will be 5600 kg per second in order to lift up the rocket
