Question

A block is at rest on a frictionless ramp that is elevated 22.0 degrees above the horizontal.

a)Determine the acceleration of the block as it slides down the ramp. ​

Answer 1

3.67 m/s²

Step-by-step explanation:

Draw a free body diagram. There are two forces on the object:

Weight force mg pulling straight down,

and normal force N pushing perpendicular to the plane.

Sum the forces in the parallel direction.

∑F = ma

mg sin θ = ma

a = g sin θ

a = (9.8 m/s²) (sin 22.0°)

a = 3.67 m/s²