An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -9 N , 2 N># and the second is #F_2 = < -4 N, -3 N>#. What is the object's magnitude and direction of acceleration?
The magnitude of acceleration is
And it makes an angle
The net force in x-direction is :
The net force in y-direction is :
The magnitude of the net force:
Thus the force makes an angle
Hence the magnitude of acceleration:
And the direction will be same as that of the net force.