Question

An object moves in a circle. If the mass is tripled, the speed halved, and the radius unchanged then the centripetal force must change by a factor of:


3/2


3/4


9/4


6


12

Answer 1

Answer: 3/4

Explanation:

Fc = mv^2/r

Applying the condition will give

Fc= 3mv^2/4r

Answer 2

The change in the centripetal force of the object which moves ina circle is 3/4. Option B is the correct option.

What is centripetal force?

Centripetal force is the force that is required to keep rotating a body in a circular path. The direction of the centripetal force is inward of the circle, towards the center of the rotational path.

The centripetal force of moving body in a circular path can be given as,

$F_c=\dfrac{mv^2}{r}$

Here, (m) is the mass of the body, (v) is the speed of the body, and (r) is the radius of the circular path.

Now, the mass is tripled, the speed is halved, and the radius is unchanged. Thus the new mass of the body is,

$m=3m$

New speed of the object is,

$v=\dfrac{v}{2}$

Put the values in the above formula as,

$F_c=\dfrac{(3m)(\dfrac{v}{2}^2)}{r}\\F_c=\dfrac{3}{4}\times\dfrac{mv^2}{r}$

Hence, the change in the centripetal force of the object which moves in a circle is 3/4. Option B is the correct option.

Learn more about the centripetal force here;

https://brainly.com/question/20905151