* Work and Force: Work is done when a force causes a displacement. The formula for work is:
* *Work (W) = Force (F) * Displacement (d) * cos(θ)*
* θ is the angle between the force and displacement.
* Weight and Displacement: Weight (the force due to gravity) acts vertically downwards. Since the body is moving horizontally on a frictionless surface, its displacement is also horizontal. Therefore, the angle between the weight force and the displacement is 90 degrees.
* Cosine of 90 degrees: cos(90°) = 0
Putting it together:
* The work done by weight is W = F * d * cos(90°) = F * d * 0 = 0
In simpler terms:
Since the body is moving horizontally and weight acts vertically, the weight force doesn't contribute to the body's motion. It's like pushing a box on a smooth floor – your horizontal push does the work, not the box's weight.
