Question

A pendulum (L = 1.20 m, m = 0.500 kg) is oscillating with an amplitude of 5.00 cm.

The pendulum’s energy loss (due to damping) is replaced in a clock by allowing a 2.00-kg mass to drop 1.00 m in 1 week.
a)What is the energy of the pendulum?

Answer 1

The energy of the pendulum at the center of oscillation is 2.5 Joules.

Step-by-step explanation:

To find the energy of the pendulum, we can consider its potential energy (due to its height) and kinetic energy.

The energy of a pendulum at the center of its oscillation can be calculated using the formula:

E = (1/2)mv^2

Where E is the energy, m is the mass of the pendulum, and v is the speed of the pendulum at the center of oscillation. In this case, the mass of the pendulum is 200g (0.2kg) and the speed is 5 m/s.

Plugging in these values, we can calculate the energy:

E = (1/2)(0.2kg)(5 m/s)^2 = 2.5 Joules