A body mass 5kg is acted upon by two perpendicular forces 8N and 6N. Give the magnitude and the direction of the acceleration of the body?

1 Answer
Feb 20, 2018

We need to find the magnitude of the sum of the forces. Since they're acting perpendicularly, we can use pythogoras.

#sqrt((8N)^2 + (6N)^2) = S#

#sqrt(100N^2) = S#

#10N = S#

We know that #F = ma#, therefore

#10 N = 5kg*a#

#a = 2 m/s^2=2ms^-2#

This will be an acceleration in the positive direction, because the applied force acts as a push.

Hopefully this helps!