You go to a dog park that is shaped like a rectangle. You walk into the park at the entrance in the northwest corner. The park is called The Land of 133 Puppies! That's a very specific name. You only see 16 puppies at the entrance. You walk 33.8 meters to the east to go to the puppy water fountain to see if you can find the other puppies. It is 3 o'clock in the afternoon and there are 21 puppies here. The fountain has a circumference of 6.71 meters. Interesting. The one with with the black and white spots plays with a golf ball rolling down a ramp. You leave and walk 41.1 meters south to the puppy playground. There are 21 puppies running around and playing. There is a statue of a doggo that is 10.47 meters tall. Wow. You hear excited yips to the west, so you walk 33.8 meters back to the western side of the park to find a Puppy Food Truck! Here, there are 98 puppies! The park is aptly named. How much shorter would it have been to have gone straight to the puppy food truck from the entrance instead of the route you chose? (Distance minus displacement)

(1) centripetal force is inversely proportional to the radius of an object moving in a circular form.

Centripetal force = mv^{2}/r.

m=mass, v=velocity, r=radius.

(2). Doubling the mass affect the centripetal force following the fact that the centripetal force is directly proportional to the mass therefore, if the centripetal force increases four times (Radius kept constant), the mass increases two times.

(3) If radius is increased, then the centripetal force will decrease.

(4).  If mass is doubled, then the centripetal force will also double.

Explanation:

from the above relation, centripetal force is inversely proportional to the radius and is directly proportional to the mass and velocity.

If only the centripetal force is increase and others are kept as it is, then the moving object will gradually move towards the focus point reducing the radius proportional to the increase in centripetal force.

for example:- relating to mass and velocity, if the centripetal force is increase four times, the mass or velocity will increase two times keeping the radius constant for the condition.