A constant force of $5 N$ can produce an acceleration of $1 m / s^{2}$ on the body of mass m and $2 m / s^{2}$ on the body of mass 2m. If both the bodies are tied together and same force is applied, then what will be the acceleration of the system?

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Solution

Given force $F_{1} = 5 N$ and acceleration $a_{1} = 1 m / s^{2}$ for mass of body m
and mass of second body is $2 m$ acceleration of second body $= 2 m / s^{2}$
We know force $F = m a s s \times a c c e l e r a t i o n$
$m = \frac{5}{1} k g$ and mass of 2nd object $= 2 m = 10 k g$
Now acceleration produced when a force of 5 N applied on both the objects when tied together $F = (5 + 10) a$
$a = \frac{5}{15} m / s^{2}$

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A constant force of 5N can produce an acceleration of 1m/s2 on the body of mass m and 2m/s2 on the body of mass 2m. If both the bodies are tied together and same force is applied, then what will be the acceleration of the system?

A constant force of $5 N$ can produce an acceleration of $1 m / s^{2}$ on the body of mass m and $2 m / s^{2}$ on the body of mass 2m. If both the bodies are tied together and same force is applied, then what will be the acceleration of the system?