Determine the acceleration and normal force of system below. Assume no friction, the mass equal to 10.0 kg and the angle equal to 60.0 degrees. Assume gravity equals 9.8 m/s/s.

The picture looks like a right triangle with a box sliding down it.

I am a 9th grader in conceptual physics, so the calculus is already provided for us. So if you could solve this without calculus, that would be great!

1 answer

The normal force of the box is mg*cosTheta.

The force of gravity down the plane is mg*SinTheta

so the net force down the plane is
forcegravity-friction

because the friction is zero, then you don't have to worry about normal force in the motion.

Netforce=mass*acceleration
or acceleration= mgSinTheta/m= g*sinTheta