When an object moves
on a circular path what is a work done?specify the reason
When an object moves on a circular path, the work done on the object is zero. This is because work is defined as the product of the force applied on an object and the displacement of the object in the direction of the force.
In the case of an object moving in a circular path, the force applied is always perpendicular to the displacement of the object. This is because the force acts towards the center of the circle, while the displacement is tangent to the circle. Since the angle between the applied force and the displacement is 90 degrees, the dot product of these two vectors is zero, resulting in zero work done.
To understand this concept mathematically, the work done is calculated using the equation:
Work = Force * Displacement * cos(theta)
Where theta is the angle between the force and the displacement vectors. In the case of circular motion, cos(90) = 0, so the work done becomes zero.
Therefore, when an object moves on a circular path, the work done on the object is zero due to the perpendicular relationship between the force and displacement vectors.