Consider a block of mass m sliding down an inclined plane andit has three forces

Question

Consider a block of mass m sliding down an inclined plane andit has three forces acting on it (1) a gravitational force(pointing down). (2) a normal force perpendicular to the surface ofthe plane. (3) a friction force opposing motion down theplane. In the case of a surface with negligible, Friction force iszero, and there are only two external forces acting on theblock. What will the acceleration of a cart be according to thetheory- Newton's laws? How will it compare to the magnitude of the gravitationalacceleration g?
Please put it into words. Consider a block of mass m sliding down an inclined plane andit has three forces acting on it (1) a gravitational force(pointing down). (2) a normal force perpendicular to the surface ofthe plane. (3) a friction force opposing motion down theplane. In the case of a surface with negligible, Friction force iszero, and there are only two external forces acting on theblock. What will the acceleration of a cart be according to thetheory- Newton's laws? How will it compare to the magnitude of the gravitationalacceleration g?

Explanation / Answer

let the angle of the inclined plane be , the force acton the direction of the motion (along the surface)
is gravitational force with the negligible of Frictionforce accroding to Newton's Law, let acceleration along surface bea, we have F = mgsin = ma a = gsin compare with g, it is a fraction of g and depends on the angle

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