Physics

To find the impulse experienced by the object as it slides down the frictionless incline, we will first calculate the change in momentum, which is equivalent to the impulse.

 

Determine the velocity at the bottom of the incline

We can use the principle of energy conservation since there are no non-conservative forces (like friction) doing work. The gravitational potential energy lost by the object is converted into kinetic energy.

 

Initial gravitational potential energy at the top (point A) is:

where is the vertical height of the incline (since is the length of the incline and is the angle of inclination).

 

Thus:

 

The kinetic energy at the bottom (point B) is:

where is the velocity at the bottom.

 

By energy conservation: