If no net force acts on a massless object can there be any acceleration of the object?

**My attempt:**

$$F=ma\\ \implies a=F/m\\ \implies a=0/0 $$

$\implies a$ can be anything.

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# [Physics] Can there be an acceleration when no net force acts on a massless object

forcesnewtonian-mechanics

If no net force acts on a massless object can there be any acceleration of the object?

**My attempt:**

$$F=ma\\ \implies a=F/m\\ \implies a=0/0 $$

$\implies a$ can be anything.

## Best Answer

In a theory view point, it is possible. For example, consider figure below. The string is massless and inelastic (rigid). (There is no friction)

The string moves with the mass $m$, so its acceleration is $a=\large{\frac Fm}$. But, the net force acting on the string is zero.

$$\Sigma F_{\text{string}}=F-T=0$$