First slide

Newton's laws of motion

Question

A body A of mass m₁ exerts a force on another body B of mass m₂. If the acceleration of .B be a₂, then the acceleration (in magnitude) of A is

Moderate

A

$\frac{m_{2}}{m_{1}} a_{2}$
B

$\frac{m_{1}}{(m_{1} + m_{2})}$
C

$\frac{m_{1}}{m_{2}} a_{2}$
D

$\frac{(m_{1} + m_{2})}{m_{1}}$

Solution

$Force on B = m_{2} a_{2} ∴ Force on A = m_{1} a_{1}$
$Acceleration of A = \frac{m_{2} a_{2}}{m_{1}}$

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