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# Physics Circular Motion: Centripetal Force Derivation

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@UpbeatArchetype

### In the context of circular motion, what is the role of centripetal force?

• Bends the path of the particle into a circular trajectory (correct)
• Causes the particle to move along a straight line
• Increases the speed of the particle
• Pushes the particle away from the center of the circle
• ### If a string attached to a ball moving in a circular path snaps, what does the ball do?

• Slows down and stops
• Moves in a zigzag pattern
• Continues to move in a circle
• Follows a straight line path (correct)
• ### Which force prevents a ball from moving in a straight line when it is attached to a string and moves in a circle?

• Friction force
• Centrifugal force
• Tension force
• Centripetal force (correct)
• ### What happens to a ball's path when the centripetal force acting on it is removed?

<p>It becomes a straight line path</p> Signup and view all the answers

### Which of the following is an example of centripetal force in action?

<p>Force keeping a satellite in orbit</p> Signup and view all the answers

### What type of motion does a particle in circular motion exhibit when there is no centripetal force present?

<p>Linear motion at constant speed</p> Signup and view all the answers

### How does centripetal force affect the velocity of a particle moving in a circle?

<p>Changes the direction of velocity</p> Signup and view all the answers

## Study Notes

### Centripetal Force

• Centripetal force is the force that bends the normally straight path of a particle into a circular path.
• Without centripetal force, a particle will move in a straight line, not a circular path.
• Examples of centripetal force include:
• Force acting on electrons in fixed orbits around the nucleus.
• Force acting on artificial and natural satellites.
• Force acting on earth around the sun.

### Centripetal Acceleration and Force

• Consider a particle moving in a circle of radius 'r' with uniform speed v.
• The acceleration of the particle is a = Δv / Δt, where Δv is the change in velocity and Δt is the time required to move from one point to another.
• Since the speed of the particle is constant, the velocities at points A and B are v₁ and v₂, respectively.
• The centripetal force is responsible for the centripetal acceleration, which is necessary for the particle to maintain its circular motion.

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## Description

This quiz focuses on explaining centripetal force in circular motion and deriving the relation for it. It covers the concept of a force that redirects the path of an object into a circular trajectory. The quiz also explores scenarios where the centripetal force is necessary to maintain circular motion.

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