(a) Frequency of sound wave is inversely proportional to string length.
(b) Pitch of a sound depends on the frequency while loudness depends on the amplitude of sound.
<h3>
Relationship between string length and frequency</h3>
The relationship between string length and frequency is given as;
λ = 2L
where;
- λ is wavelength
- L is length of the string
v = fλ
f = v/λ
f = v/2L
Thus, frequency of sound wave is inversely proportional to string length.
<h3>Relationship between pitch and loudness of sound</h3>
The pitch of a sound depends on the frequency while loudness of a sound depends on the amplitude of sound waves.
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When two magnets are brought together, the opposite poles will attract one another, but the like poles will repel one another. This is similar to electric charges. Like charges repel, and unlike charges attract.
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Answer:
dr/dt = -2 cm/s.
Explanation:
The volume of a cone is given by:
(1)
- r is the radius
- h is the height
Let's take the derivative with respect to time in each side of (1).
(2)
We know that:
- dh/dt = 10 cm / s (rate increasing of height)
- dV/dt = 0 (constant volume means no variation with respect of time)
- r = 4 cm
- h = 10 cm
We can calculate how fast is the radius changing using the above information.
Therefore dr/dt will be:

The minus signs means that r is decreasing.
I hope it helps you!
Answer:
the magnitude of the work done by the two blocks is the same.
Explanation:
The work done by block a on block b is given by:

where Fa is the force exerted by block a on block b, and d is the distance they cover.
The work done by block b on block a is given by:

where Fb is the force exerted by block b on block a, and d is still the distance they cover.
For Newton's third law, the force exerted by block a on block b is equal to the force exerted by block b on block a, therefore

and so

Potential energy is present in the river water behind a dam.
<h3>How is potential energy defined?</h3>
- Potential energy is a form of stored energy that is dependent on the relationship between different system components.
- When a spring is compressed or stretched, its potential energy increases.
- If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
- The object's mass, its mass in relation to some reference points, and the gravitational field it is in all affect the potential energy of the object.
- Joule is the SI unit of potential energy as a result (J)
- As weight and height increase, gravitational potential energy rises.
learn more about Potential energy here
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