Answer:
A, sqrt(Fr/m)
Explanation:
We know that force is equal to mass times acceleration. Centriptial acceleration is v^2/r. Therefore:
[tex]F= m*a\\a = \frac{v^2}{r}\\ F= m*\frac{v^2}{r}\\\frac{F*r}{m}= v^2\\ v= \sqrt{\frac{F*r}{m}}[/tex]
That's how I got A.
Answer:
The velocity of the object in circular motion, [tex]v=\sqrt{\dfrac{F_cr}{m}}[/tex]
Explanation:
The second law of motion given the magnitude of force acting on an object. It is equal to the product of its mass and acceleration i.e.
[tex]F=m\times a[/tex]..........(1)
In a circular path the acceleration of the object is called centripetal acceleration, [tex]a=\dfrac{v^2}{r}[/tex]
Equation (1) becomes,
[tex]F=m\times \dfrac{v^2}{r}[/tex]
We know that, in circular motion the force acting on the object is centripetal force. The formula for centripetal force is given by :
[tex]F_c=m\times \dfrac{v^2}{r}[/tex]
[tex]v=\sqrt{\dfrac{F_cr}{m}}[/tex]
So, the correct option is (a). Hence, this is the required solution.
