The three longest wavelengths for the standing waves on a 264-cm long string that is fixed at both ends are:
- 5.2 meters.
- 2.6 meters.
- 1.7meters.
Given data:
Length of the fixed string = 264cms = 2.64 meters
The wavelength for standing waves is given by:
λ = 2L/n
where,
- λ is the wavelength
- L is the length of the string
For n = 1,
= 5.2 meters
For n = 2,
= 2.6 meters
For n = 3,
= 1.7 meters
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Potential energy (PE ) = m g h
Where:
m = mass = 3800 kg
g = acceleration due gravity = 10 m/s^2
h = heigth = 110 meters
Replacing:
PE = 3800 * 10 * 110 = 4,180,000 J
To develop this problem it is necessary to apply the concepts related to Wavelength, The relationship between speed, voltage and linear density as well as frequency. By definition the speed as a function of the tension and the linear density is given by
Where,
T = Tension
Linear density
Our data are given by
Tension , T = 70 N
Linear density , 
Amplitude , A = 7 cm = 0.07 m
Period , t = 0.35 s
Replacing our values,
Speed can also be expressed as
Re-arrange to find \lambda
Where,
f = Frequency,
Which is also described in function of the Period as,
Therefore replacing to find 
Therefore the wavelength of the waves created in the string is 3.49m
The three different motions are;
- The upward motion of the woman is constant
- The downward motion of the woman is also constant
- The horizontal motion of the woman is zero.
<h3>
What is force diagram?</h3>
Force diagram is a pictorial or graphical illustration of different forces acting on object.
In this given question, there two forces acting on the woman as depicted in the force diagram.
- The first force is surface force (Fs)
- The second force is force of Earth (FE)
In the given force diagram, the woman is in equilibrium, this implies that the surface force and the Earth force are equal.
The three different types of motion of the woman that are consistent with the force diagram include the following;
- The upward motion of the woman is constant
- The downward motion of the woman is also constant
- The horizontal motion of the woman is zero since there is no horizontal force on the woman.
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Answer:
D
Explanation:
There is a variety of many types of energies. Some of which are mechanical, thermal, electromagnetic, nuclear, chemical, sonic, and more.
