Question

Analyze the data to identify the mathematical relationship between the
amplitude and energy of a mechanical wave. If mechanical wave A has an
amplitude of 2 cm and mechanical wave B has an amplitude of 3 cm, what
will be the relationship between the energy carried by the two waves?
Amplitude
Energy
A. Wave A has about 2.5 times more energy than wave B.
B. Wave A has about 2.25 times more energy than wave B.
C. Wave B has about 2.25 times more energy than wave A.
O D. Wave A has about 1.5 times more energy than wave B.

Answer 1

Answer:

C.) Wave B has about 2.25 times more energy than wave A

Explanation:

Answer 2

The relationship between the energy carried by the two waves is Wave B has about 2.25 times more energy than wave A. The correct option is C.

What is amplitude?

Amplitude is the maximum displacement of the wave from its equilibrium position or x axis.

Given, If mechanical wave A has an amplitude of 2 cm and mechanical wave B has an amplitude of 3 cm.

The position represents the potential energy of the particle in a wave.

So, square of amplitude is proportional to the energy.

From the given table, energy for mechanical wave A with an amplitude of 2 cm is 8 units, and , energy for mechanical wave B with an amplitude of 3cm is 18 units. their comparison is

Eb/Ea = 18/8

Eb =2.25 Ea

Thus, the Wave B has about 2.25 times more energy than wave A.

Learn more about amplitude.

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