A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dM (t ) dt= bv^2 (t ) where v (t ) is its instantaneous velocity. The instantaneous acceleration…

Question

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dM (t ) dt= bv^2 (t ) where v (t ) is its instantaneous velocity. The instantaneous acceleration of the satellite is

Accepted Answer

Correct answer: C. (c) JEE Main 2020 F= dP dt= ( dM dt )v ⇒M (t )a=- (bv^2 )v ⇒a=- bv^3M (t )

$A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate \frac{dM ( t )}{dt} = bv^{2} (t) where v (t) is its instantaneous velocity. The instantaneous acceleration of the satellite is$

Solution

More Collision & Variable Mass PYQs