why the work done on an object moving with uniform cercular motion zero
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Work done on an object is the product of force applied and the displacement covered in the direction of force applied. If the force is inclined at an angle then work will be the product of the component of force in the direction of displacement and the displacement.
In circular motions, or more precisely uniform circular motion, resultant force which is known as centripetal force is directed towards center while the object moves at right angle to it at any instant. Mathematically, θ will become 90 degrees and cos(θ) is zero. Hence, the work done will be zero. Physically, there is no component of force in the direction of motion. Only one component remains which does not do work at all. Hence, the work done in a uniform circular motion is always zero.
In circular motions, or more precisely uniform circular motion, resultant force which is known as centripetal force is directed towards center while the object moves at right angle to it at any instant. Mathematically, θ will become 90 degrees and cos(θ) is zero. Hence, the work done will be zero. Physically, there is no component of force in the direction of motion. Only one component remains which does not do work at all. Hence, the work done in a uniform circular motion is always zero.
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