Ask Question
9 February, 21:46

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.

+1
Answers (1)
  1. 9 February, 22:02
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers