A ball moves in a frictionless inclined table without slipping. The work done by the table surface on the ball is
A frictionless inclined table is a smooth surface tilted at an angle to the horizontal, where no frictional force opposes motion. Objects on the table move solely under the influence of gravity and normal force. It simplifies calculations in physics by eliminating resistance from friction during analysis.
Chapter 5 of Class 11 Physics explains Work Energy and Power. Work is the energy transferred when a force moves an object through a distance. Energy includes kinetic and potential forms and follows the law of conservation. Power is the rate of doing work and is crucial in mechanical studies.
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In the case of a frictionless inclined table, the work done by the table surface on the ball can be analyzed through the forces acting on the ball.
Since there is no friction, the only force acting parallel to the surface is gravity. Gravity does not do work against the normal force of the table. The normal force acts perpendicular to the displacement of the ball.
Work done (W) is given by the formula:
W = F • d • cos(θ)
Where:
– F is the force
– d is the displacement
– θ is the angle between the force and displacement
This implies that the displacement and the force exerted are perpendicular to each other, that is, θ = 90 degrees. This gives cos(90°) = 0. Thus the work done by the table surface on the ball is:
W = F • d • 0 = 0
Final Answer:
The work done by the table surface on the ball is zero.
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