Question

An object with a mass of `4 kg` is on a plane with an incline of `pi/12`. If the object is being pushed up the plane with `1 N` of force, what is the net force on the object?

Answer 1

`9.1457N` down the slope

Explanation:

Assuming there is no friction, we may resolve the weight force into components and write an equation for the resultant force in the direction parallel to the incline (X-direction) as follows, choosing down the slope as positive :

`sumF_x=4gsin15^@-1`

`=9.1457N`

Note hence by Newotn's 2nd Law of Motion that the acceleration will be down the slope and have magnitude `9.1457/4=2.2864m//s^2`.