Question

For an object spinning around a central point, what will happen if its distance from the center is decreased

Answer 1

Its a acceleration will increase

Step-by-step explanation:

The force required to keep an object in a circular motion is given by

`F=(mv^2)/(R)`

where v is the radial velocity and R is the radius of the object with mass m.

Now our question is what happens to the above equation as we decrease R?

We can see that as R decreases the quantity mv^2 /R increases (since R is getting smaller ).

Hence, we conclude that F increases. But what if F? it is the centripetal force.

Since centripetal force has increased, so has the quantity v^2 /R (called the acceleration ).

Meaning an increase in centripetal force implies an increase n acceleration.

Since in the answer choices we are not given the option to increase our centripetal force, the next best choice is to choose 'acceleration will increase. '