claytonbeast22
contestada

Which statement is true about an object that is moving in a circular motion due to centripetal force, F, when the radius of its circular motion is doubled?

The new force then becomes equal to 2F
The new force then becomes equal to F
The new force then becomes equal to F/2
The new force then becomes equal to F2
The new force then becomes equal to 1/F

Respuesta :

Answer:

I think it would be F/2

Explanation:

how would it be 1/2 F, when that's not even an option?

onyebuchinnaji

The new force then becomes equal to F/2.

  • Let the centripetal force = F
  • Let the radius of the circle = r

The centripetal force is calculated as follows;

[tex]F = ma_c = \frac{mv^2}{r} \\\\Fr = mv^2\\\\Fr = K\\\\F_1r_1 = F_2r_2[/tex]

When the radius is doubled, the centripetal force becomes;

[tex]F_2 = \frac{F_1r_1}{r_2} \\\\F_2 = \frac{F_1r_1}{2r_1} \\\\F_2 = \frac{F_1}{2}[/tex]

Thus, the new force then becomes equal to F/2.

Learn more about centripetal force here: https://brainly.com/question/898360

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