### Q.7:- A body of mass 5 kg is acted upon by two perpendicular forces 8 N and 6 N. Give the magnitude and direction of the acceleration of the body.

**Answer:-**

Mass of the body, *m* = 5 kg

The given situation can be represented as follows:

The resultant of two forces is given as:

θ is the angle made by *R* with the force of 8 N

∴ θ = *tan*^{-1}(-6/8) = -36.87^{0}

The negative sign indicates that *θ* is in the clockwise direction with respect to the force of magnitude 8 N.

As per Newton’s second law of motion, the acceleration (*a*) of the body is given as:

*F *= *ma*

∴ *a* = *F* / m = 10 / 5 = 2 ms^{-2}