Question
A rocket of initial mass 6000 kg ejects mass at a constant rate of 16 kh/s with constant relative speed of 11 km/s. What is the acceleration of the rocket one minute after blast?
Solution
Here,
mo = 6000 kg
u = 11 km/s = 11000 m/s
Acceleration,a = ?
Time taken, t = =1 min = 60 sec
Mass left after 1 minute = mo - (dm/dt) t
= 6000 - ( 16 x 60)
= 5040 kg
Using the formula,
F = m. (dv/dt)= u . (dm/dt), we get
a = dv/dt =