# Inertia

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what is the formula for the acceleration of an object of X mass on a slope of Y degrees? if there is one this is basically a question of inertia but i cant seem to find anything on it (no this isnt homework im in 9th grade do you really think we are into this stuff yet) thanks alot [grin]

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What's inertial about it? It's an acceleration problem, not an inertial one.

Anyway, mass m, angle θ, position x, y. Ignoring friction.

  o/|  / | /  |/___|

IIRC:

We have an object at the top (o). It's going to get a force F down along that side of the triangle it sits on. The force acting on it is gravity, Fg. The force o experiences will be the projection of Fg in the direction of the slope. Since Fg is vertical we end up with Fx=Fg sin(θ) and Fy=Fg cos(θ), where Fx is the force on the object in the x direction and Fy is the force in the y direction.
(Note that this uses y positive in the downward direction. If yours is upward, just make Fy negative.)
We know F=ma, and from this we can easily work out the acceleration in the x and y directions.

I think that's right.

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