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JEE Main 201226 MayOnline

Exam: JEE Main
Year: 2012
Date: 26 May
Mode: Online
Subject: Physics
Chapter: Laws of Motion

JEE Main 2012 · 26 May · Online · Physics · Laws of Motion

A satellite moving with velocity v in a force free space collects...

A satellite moving with velocity

v

in a force free space collects stationary interplanetary dust at a rate of

\frac{d M}{d t}=\alpha v

where

M

is the mass (of satellite + dust) at that instant. The instantaneous acceleration of the satellite is

Options

A $-\frac{\alpha v^2}{2 M}$
B $-\frac{\alpha v^2}{M}$
C $-\alpha v^2$
D $-\frac{2 \alpha v^2}{M}$

Correct answer

B. $-\frac{\alpha v^2}{M}$

Step-by-step solution

a_{\text{inst }}=\frac{\alpha \mathrm{V}^2}{\mathrm{M}}

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