Understanding Centripetal Net Force in Circular Motion

In summary, when swinging a ball in a horizontal circle, the net force acting on the ball is inward and perpendicular to the velocity at any given moment of time. This force is a result of the inward centripetal force and is offset by the ball pulling on the string with an equal and opposite force according to Newton's 3rd law. As a result, the net force on the ball is zero and it maintains a constant velocity.
  • #1
keemosabi
109
0

Homework Statement


If you swing a ball in a horizontal circle around your head, what is the direction and magnitude of the net force acting on the ball?


Homework Equations





The Attempt at a Solution


I said none because the ball is moving at a constant velocity. Is this correct? Or does the centripetal force come into play?
 
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  • #2
The direction of the force is inward, perpendicular to the velocity at any given moment of time.
 
  • #3
twotaileddemon said:
The direction of the force is inward, perpendicular to the velocity at any given moment of time.
Is it a net force? If it were, wouldn't the ball be accelerating inward? Doesn't that force just offset the ball pulling on the string?
 
  • #4
good point.. I didn't see that "net" there.

In that case, I do believe the -net- force is zero, as you said.
 
  • #5
keemosabi said:
Is it a net force?
yes
If it were, wouldn't the ball be accelerating inward?
yes, it is , in the inward centripetal x direction.
Doesn't that force just offset the ball pulling on the string?
No, that's Newton's 3rd law, the string pulls on the ball, and the ball pulls on the string, with a force equal in magnitude and opposite in direction, always.
 

FAQ: Understanding Centripetal Net Force in Circular Motion

What is centripetal net force?

Centripetal net force is the force that is required to keep an object moving in a circular path. It is always directed towards the center of the circle and is responsible for changing the direction of an object's velocity.

What are some examples of centripetal net force?

Some examples of centripetal net force include the force of gravity keeping planets in orbit around the sun, the tension force in a string holding a ball in circular motion, and the force of friction on a car making a turn.

How is centripetal net force calculated?

Centripetal net force can be calculated using the equation Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.

What happens if there is no centripetal net force?

If there is no centripetal net force acting on an object, it will continue to move in a straight line at a constant speed, rather than following a circular path. This is known as Newton's first law of motion.

What is the relationship between centripetal net force and centripetal acceleration?

Centripetal net force and centripetal acceleration are directly proportional. This means that as the force increases, so does the acceleration, and vice versa. The equation for centripetal acceleration is ac = v^2/r.

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