Laws Of Motion Question 299
Question: A satellite in a force free space sweeps stationary interplanetary dust at a rate$ ( dM/dt )=av $ . The acceleration of satellite is
Options:
A) $ \frac{-2\alpha v^{2}}{M} $
B) $ \frac{-\alpha v^{2}}{M} $
C) $ \frac{-\alpha v^{2}}{2M} $
D) $ -\alpha v^{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Thrust on the satellite, $ F=\frac{-vdM}{dt}=-v( \alpha v )=-\alpha v^{2} $
$ \text{Acceleration =}\frac{F}{M}=\frac{-\alpha v^{2}}{M} $
