Question

For a rocket propulsion velocity of exhaust gases relative to rocket is 2km/sec .if mass of rocket is 1000kg then rate of fuel consumption to rocket to rise up with acc. 4.9m/s2 will be

Answer 1

equation of force
vr*dm/dt -mg =ma
2000*dm/dt-1000*10=1000*4.9
2000*dm/dt=1000+4900
2000*dm/dt=14900
dm/dt= 7.45kg per sec
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Answer 2

First of all, assume the mass of the rocket, the velocity of the rocket, linear momentum, mass of the rocket propellant, velocity of exhaust in the rocket and others.

ma = vr * m-mg, ma = 2000 *m - mg, 1000 + 4900 = 2000 * m, m = 7.45kg per second.