Question

(37) Discuss the motion of a rocket as a variable mass problem. Find the
expression for speed of the rocket at time T after its launch​

Answer 1

Answer:

Now we deal with the case where the mass of an object is changing. We analyze the motion of a rocket, which changes its velocity (and hence its momentum) by ejecting burned fuel gases, thus causing it to accelerate in the opposite direction of the velocity of the ejected fuel (see (Figure)). Specifically: A fully fueled rocket ship in deep space has a total mass  

m

0

(this mass includes the initial mass of the fuel). At some moment in time, the rocket has a velocity  

→

v

and mass m; this mass is a combination of the mass of the empty rocket and the mass of the remaining unburned fuel it contains.

Explanation: