Question
A rocket has mass 6000kg. 25% of the initial mass of the rocket is fuel. The fuel burns at the rate of 25kg/s. If the gases leave the rocket with speed 2000m/s w.r.t. rocket, then find the velocity of rocket at t = 40s. Assume the rocket takes off from rest.
Solution
The velocity of rocket at any instant
is given by,
... (1)
Given,
Mass of rocket,
Rate of burning of fuel, dm/dt = 25 kg/s
Speed with which the gas leaves rocket, u = 2000m/s
Time, t = 40 s
Putting the values in eqn. (1), we have
=
= 364.64 m/s
is given by,
... (1)Given,
Mass of rocket,
Rate of burning of fuel, dm/dt = 25 kg/s
Speed with which the gas leaves rocket, u = 2000m/s
Time, t = 40 s
Putting the values in eqn. (1), we have
=
= 364.64 m/s
