Physics · 2020
JEE Main · 5 September 2020, Shift 2 · Q3
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate (dM ( t ))/dt= b v^2( t ), where v( t ) is its…
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $\displaystyle \frac{\mathrm{dM}(\mathrm{t})}{\mathrm{dt}}=\mathrm{b} v^2(\mathrm{t})$, where $\displaystyle v(\mathrm{t})$ is its instantaneous velocity. The instantaneous acceleration of the satellite is:
Official answer
(2)
$\displaystyle -\frac{\mathrm{b} v^3}{\mathrm{M}(\mathrm{t})}$
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JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.