A force of 5N gives a mass m₁an acceleration of 8 m/s²,and a mass $m_{2}$ an acceleration of 24 $m / s^{2}$ . What acceleration would it give if both the masse's are tied together.
Please explain step by step.

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Solution

We know the base equation $F = m a$
m = mass
a = acceleration
F = force = 5 N
For the mass $m_{1}$ acceleration $a_{1} = 8 m / s^{2}$
$F = m_{1} a_{1}$
$5 = m_{1} \times 8$
$m_{1} = 5 / 8 k g = 0.625 k g$
Simlarly for $m_{2}$ the $F$ gives an acceleration $a_{2} = 24 m / s^{2}$
$5 = m_{2} a_{2}$
$5 = m_{2} \times 24$
$m_{2} = 5 / 24 = 0.2083 k g$
if $m_{1}$ and $m_{2}$ both are tied together then mass will be $M = m_{1} + m_{2} = 0.833$
$F = M a$
$a = F / M = 5 / 0.833 = 6 m / s^{2}$ .

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A force of 5N gives a mass m₁an acceleration of 8 m/s²,and a mass $m_{2}$ an acceleration of 24 $m / s^{2}$ . What acceleration would it give if both the masse's are tied together.
Please explain step by step.