A8.0 kg object is sliding down s frictionless inclined ramp at an acceleration of 2.6/s/s. what is the angle of the inclined plane

Explanation:

There is only one force acting along the direction parallel to the plane: the component of the weight parallel to the incline, which is given by

where

m = 8.0 kg is the mass of the object

is the acceleration of gravity

is the angle of the incline

Therefore, the equation of motion along this direction is

where

is the acceleration of the object

Re-arranging the equation, we can solve to find the angle of the incline: