Centripetal Force


 
 
Concept Explanation
 

Centripetal Force

Motion of Moon around Earth and Centripetal Force:

The motion of the moon around the earth is due to centripetal force provided by the force of attraction of the Earth. The force that keeps a body moving along the circular path is acting towards the centre and responsible for the change in direction of velocity or acceleration is called centripetal (centre seeking) force. The motion of the moon around the earth is due to the centripetal force. The centripetal force is provided by the force of attraction of the earth. If there were no such force, then the moon would pursue a uniform straight line motion. If an object of mass m moves with a uniform speed (v) along a circular path of radius (r), its acceleration is

a = frac{v^2}{ r}

. Then by Newton’s second law of motion, the centripetal force is

F = ma = frac{mv^2}{ r}.

Example:

1. Spinning a ball on a string or twirling a lasso.

2. Turning a car.

3.Going through aloop on aroller coaster.

4. Planets around the sun.

Sample Questions
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Question : 1

The motion of the moon around the earth is due to __________________  provided by the force of attraction of the Earth.

Right Option : B
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Question : 2

What will be the centripital force when  an object with mass equal to 2Kg is moving with a  velocity of 3m/s around a circle of radius 2m..

 

Right Option : C
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Question : 3

What will be the centripital force when  an object with mass equal to 2.5 Kg is moving with a  velocity of 6 m/s around a circle of radius 200 cm..

 

Right Option : B
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Explanation
 
 
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