Laws Of Motion Question 270
Question: A satellite in force-free space sweeps stationary interplanetary dust at a rate $ dM/dt=\alpha v $ where M is the mass, v is the velocity of the satellite and $ \alpha $ is a constant. What is the deacceleration of the satellite[CBSE PMT 1994]
Options:
A) $ -2\alpha v^{2}/M $
B) $ -\alpha v^{2}/M $
C) $ +\alpha v^{2}/M $
D) $ -\alpha v^{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ F=\frac{dp}{dt}=v\ ( \frac{dM}{dt} )=\alpha v^{2} $ $ a=\frac{F}{M}=\frac{\alpha v^{2}}{M} $
