why is a force needed to keep a body moving over a circular path find a formula for a force acting on a body moving with uniform speed over a circular path
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I want to remind you Newton's law of motion , according to law " body changes the direction or move in accelerating motion when any external force act on it .
Now when a body moving over a circular path with uniform speed , body moves in accelerating motion due to change in direction of velocity of body every point of trajectory of motion , due to this , a centripetal force act on body towards centre of circular path.
Now you can say me , if a force act on you and you have to balance this force , then what you have to do ?
Of course you have to apply same amount of force but in opposite direction .
Same here , a centrifugal force act on body for balancing its motion in circular path.
Let v is the uniform speed of object of mass m moving in circular path of radius r
Then, F = ma
But in circular path a = v²/r [ a is centripetal acceleration ]
so, F = mv²/r
Now when a body moving over a circular path with uniform speed , body moves in accelerating motion due to change in direction of velocity of body every point of trajectory of motion , due to this , a centripetal force act on body towards centre of circular path.
Now you can say me , if a force act on you and you have to balance this force , then what you have to do ?
Of course you have to apply same amount of force but in opposite direction .
Same here , a centrifugal force act on body for balancing its motion in circular path.
Let v is the uniform speed of object of mass m moving in circular path of radius r
Then, F = ma
But in circular path a = v²/r [ a is centripetal acceleration ]
so, F = mv²/r
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