A body weighing 5 kg moves in a circle with a radius of 10 m, making 5 revolutions in a time of 3.1 s

A body weighing 5 kg moves in a circle with a radius of 10 m, making 5 revolutions in a time of 3.1 s. Determine the resulting force on the body.

To find the magnitude of the resulting force acting on a body moving along a circle, we use the formula: F = m * a = m * 4 * Π ^ 2 * R / T ^ 2 = m * 4 * Π ^ 2 * R * n ^ 2 / t ^ 2.

Variable values: m – body weight (m = 5 kg); R is the radius of the circle (R = 10 m); n is the number of full revolutions (n = 5 revolutions); t – movement time (t = 3.1 s).

Calculation: F = m * 4 * Π ^ 2 * R * n ^ 2 / t ^ 2 = 5 * 4 * 3.14 ^ 2 * 10 * 5 ^ 2 / 3.1 ^ 2 = 5.13 * 10 ^ 3 H = 5.13 kN.

Answer: The resulting force is 5.13 kN.