A 2 kg object slides down a rough inclined plane with an ang...

Question

A 2 kg object slides down a rough inclined plane with an angle of 30 degrees. The initial velocity is , and the coefficient of kinetic friction between the object and the surface is . After 3 seconds, calculate the change in the object's momentum, assuming the direction down the incline is positive.

To calculate the change in the object's momentum, we need to follow these steps:

Determine the forces acting on the object

The object is sliding down a rough inclined plane with an angle of . The forces acting on the object are:

The gravitational force, which has a component along the incline:

The frictional force, which opposes the motion: , where is the normal force

Calculate the gravitational and frictional forces

Given:

First, calculate the gravitational force component along the incline:

Next, calculate the frictional force:

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