The centripetal force of an object moving in a circle varies jointly with the mass of the object and the square of its velocity and
inversely as the radius of the circle. a 7-gram object moving in a circle with a radius of 25 centimeters and at velocity of
20 centimeters per second has a centripetal force of 112 dynes. find the radius of the circle (in cm) on which of a 17-gram
object moving in a circle travels with velocity of 40 centimeters per second and the force on the object is 5,440 dynes.

5 cm

Explanation:

Centripetal force varies directly with mass and the square of velocity, and inversely with radius.  If k is the constant of proportionality:

F = k m v² / r

When m = 7 g, v = 20 cm/s, and r = 25 cm, then F = 112 dynes.  Solving for k:

112 = k (7) (20)² / 25

k = 1

When m = 17 g, v = 40 cm/s, and F = 5440 dynes:

5440 = 1 (17) (40)² / r

r = 5

The radius is 5 cm.

hèllo, sorry i really need some more points so if you need this qustion answered than retype it

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.