Question bank/JEE Main/Physics

Two blocks of masses $M_{1}$ and $M_{2}$are connected to each
other through a light spring as shown in figure. If we push mass $M_{1}$
with force F and cause acceleration $a_{1}$ in mass $M_{1}$, what will
be the magnitude of acceleration in $M_{2}$?

A$F/M_{2}$B$F/\left( M_{1} + M_{2} \right)$C$a_{1}$D$\left( F - M_{1}a_{1} \right)/M_{2}$

Show answer and solution▾

$kx = M_{2}a_{2}$ [Newton's II law for $M_{2}$]
By adding both equations.
$F = M_{1}a_{1} + M_{2}a_{2} \Rightarrow a_{2} = \frac{F - M_{1}a_{1}}{M_{2}}$

Source: Grass-G / P-06 Physics paper 14 October.docx