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Write any three uses of copper....

Write any three uses of copper.

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Centripetal force
If a particle is uniform circular motion, there must be centripetal acceleration towards the center of the circle. If there is acceleration then there must be some force acting on it with respect to an inertial frame. This force is called centripetal force.
As we have seen in chapter 2, the centripetal acceleration of a prticle in the circular motion is given by `a=(v^2)/(r )` and it acts towards center of the circle. According to Newton's second law, the centripetal force is given by
`F_(cp) = m a_(cp) = (mv^2)/(r )`
The word Centripetal force means center seeking force.
In vector notation `vecF_(cp) = -(mv^2)/(r ) hatr`
For uniform circular motion `vecF_(cp) = -m omega^2 r ""hatr`
The direction `-hatr` points towards the center of the circle which is the direction of centripetal force as shown in figure.

It should be noted that 'centripetal force' is not other forces like gravitational force or spring force. It can be said as 'force towards center'. The origin of the centripetal force can be gravitational force, tension in the string, frictional force, Coulomb force etc.
Any of these forces can act as a cetripetal force.
1. In the case of whirling motion of a stone tied to string, the centripetal force on the string. In circular motion in an amusement park, the centripetal force is provided by the tension in the iron ropes.
2. In motion of satellites around the Earth, the centripetal force is given by Earth's gravitational force on the satellites. Newton's second law for satellite motion is
F= earth's gravitational force `=(mv^2)/(r )`
Where r- distance of the planet from the center of the Earth.
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