A swinging pendulum has a total energy of . The amplitude of the pendulum's oscillations is then increased by a factor of 4. By what factor does the total energy stored in the moving pendulum change? Ignore damping.

(for small oscillations)

Explanation:

The total energy of the pendulum is equal to:

For small oscillations, the equation can be re-arranged into the following form:

Where:

, measured in radians.

If the amplitude of pendulum oscillations is increase by a factor of 4, the angle of oscillation is and the total energy of the pendulum is:

The factor of change is:

the answer is false. this is because for ice to melt, it requires latent heat of melting. latent heat means heat energy required to change phase without any increase in temperatures. therefore, the ice will take energy from the environment to melt hence atmospheric temperatures will reduce.