The centripetal force is given by the expression
- $ \frac{Mv^{2}}{R} $
- $ \frac{M^{2}v}{R} $
- $ \frac{Mv}{R^{2}} $
- $ \frac{Mv}{R} $
The Correct Option is A
Approach Solution - 1
$F_{o}=\frac{Mv^{2}}{R} $
Approach Solution -2
The force which deviates a moving particle from its linear path to move it along a circular path and acts along the radius and towards the center of the circle is called Centripetal force.
Due to a change in the direction of the motion of the particle, its velocity changes, and hence particle is accelerated. This acceleration is called Centripetal acceleration.
For a body moving with velocity v in a circle of radius R, the centripetal acceleration of the body is given by
Centripetal acceleration, aC = v2/R
The force associated with the centripetal acceleration on a body of mass m gives Cnetripetal force, that is given by
Centripetal force, FC = maC = mv2/R
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Concepts Used:
Laws of Motion
The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.
Newton’s First Law of Motion
Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.
Newton’s Second Law of Motion
Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Newton’s Third Law of Motion
Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.