Question

The period of the pendulum T is said to depend directly on the mass M of the bob, the length of the string from the fixed position to the center of the bob L, and the gravitational constant g. It is given by F = K[M^x][L^y][g^z]. What are the values of x, y, and z?

a) x = 1, y = 1, z = -1
b) x = 2, y = 1, z = 0
c) x = 1, y = 0, z = 2
d) x = 0, y = 1, z = 2

Answer 1

The period of a simple pendulum depends on its length and the acceleration due to gravity, not the mass. The correct values for x, y, and z in the formula given are x = 0, y = 1, and z = -1.

Step-by-step explanation:

The period of a simple pendulum depends on its length and the acceleration due to gravity. The period is completely independent of other factors, such as mass or amplitude. The formula given, F = K[Mx][Ly][gz], does not accurately represent the relationship between the period and the mass, length, and gravitational constant.

The correct values for x, y, and z are x = 0, y = 1, and z = -1. This means that the period does not depend on the mass of the bob, but it does depend on the length of the string and the gravitational constant.