# A small body weighing 0.1 kg rests on a smooth horizontal surface. Two horizontally directed forces simultaneously

A small body weighing 0.1 kg rests on a smooth horizontal surface. Two horizontally directed forces simultaneously begin to act on it, the moduli of which are 0.3 N and 0.4 N. What is the maximum acceleration in modulus that this body can acquire?

The body will acquire the maximum acceleration if the forces act on it in one direction. Let’s write Newton’s second law for this case:
ma = F1 + F2, where
m = 0.1 kg is the mass of the body in question,
F1 = 0.3 N – the first force acting on the body,
F2 = 0.4 N – the second force acting on the body,
a =? is the acceleration to be found.
We get the formula for calculating the acceleration:
a = (F1 + F2) / m
Substitute the given values:
a = (0.3 H + 0.4 H) / 0.1 kg = 7 m / s ^ 2

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