An ice cube with a mass of exactly 0.2843267 kg is sliding down an incline with
an acceleration of 5 m/s^2. calculate the angle of the incline (in degrees).

i’m confused on how to find the angle can some explain?

Explanation:

Assuming there is no friction, the only force acting on the ice cube along the incline is the component of the weight of the cube parallel to the incline, that is:

where

m is the mass of the cube

g is the acceleration of gravity

is the angle of the incline

The equation of the forces along the incline therefore is

where a is the acceleration.

Here we have the following data:

Solving for , we find the angle of the incline:

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15.3 cos 65 degrees trig