# 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?

Mar 21, 2016

$9.1457 N$ 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 :

$\sum {F}_{x} = 4 g \sin {15}^{\circ} - 1$

$= 9.1457 N$

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