The period of a ball moving in a circle is doubled while the radius stays the same. what happens to the velocity of the ball?

The velocity of the ball becomes half when the time period is doubled.

Explanation:

Let be the time period of the ball, be radius and be the velocity of the ball performing circular motion.

Now, for a circular motion, the velocity is given as:

From the above relation, we can conclude that, velocity is inversely proportional to time period if the radius is constant.

This means that if time period is increased, velocity will decrease and vice-versa.

So, if time period is doubled, the velocity will reduce by half. This can be verified mathematically also given below.

Divide by , we get

Here, are the new and old velocities.

So, it can be concluded that if the time period is doubled, velocity is reduced by half.

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada