A long string carries the wave; a segment of the string measuring 6.00 meters in length and weighing 180 grams contains four full wavelengths. The string vibrates sinusoidally at a 50.0 Hz frequency with a 15.0 cm peak-to-valley displacement. The vertical distance between the farthest positive and negative positions is known as the "peak-to-valley" distance. The function that describes this wave traveling in the positive x direction is
.

If phase constant is
then
equation is ![$y=7.5 \times 10^{-2} \sin \left[100 \pi t-\frac{4 \pi}{3} x+\phi\right]$](https://tex.z-dn.net/?f=%24y%3D7.5%20%5Ctimes%2010%5E%7B-2%7D%20%5Csin%20%5Cleft%5B100%20%5Cpi%20t-%5Cfrac%7B4%20%5Cpi%7D%7B3%7D%20x%2B%5Cphi%5Cright%5D%24)
∴ equation is 
- A wave is a disturbance that moves from one location to another, carrying energy but not always matter.
- The square of the equation provides a probability density map of the locations where an electron has a specific statistical likelihood to be at any given moment in time. Wave functions have no direct physical meaning.
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Answer:
Explanation:
Given
mass 

(inclination)=

Let T be the tension in the rope
From Diagram
-----------------1
where 

For block 
-----------2
From 1 & 2




Scientific Notation: 4.580 x 10^-4
Scientific e Notation: 4.580e-4
Answers: 1) 3 kg m²
2) 2.88 kg m²
Explanation: <u> </u><u>Question 1</u>
I = m(r)²+ M(r)²
I = 1.2 kg × (1 m )² +1.8 kg ×(1 m )²
∴ I = 3 kg m²
<u> </u><u>Question 2 </u>
ACCORDING TO THE DIAGRAM DRAWN FOR QUESTION 2
we have to decide where the center of gravity (G) lies and obviously it should lie somewhere near to the greater mass.<em> (which is 1.8 kg). S</em>ince we don't know the distance from center of gravity(G) to the mass (1.8 kg) we'll take it as 'x' and solve!!
<u>moments around 'G' </u>
F₁ d ₁ = F₂ d ₂
12 (2-X) = 18 (X)
24 -12 X =18 X
∴ X = 0.8 m
∴ ( 2 - x ) = 1.2 m
∴ Moment of inertia (I) going through the center of mass of two masses,
⇒ I = m (r)² +M (r)²
⇒ I = 1.2 × (1.2)² + 1.8 × (0.8)²
⇒ I = 1.2 × 1.44 + 1.8 × 0.64
⇒ I = 1.728 + 1.152
⇒ ∴ I = 2.88 kg m²
∴ THE QUESTION IS SOLVED !!!
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That is because work requires energy. According to the law of conservation of energy, it cannot be created or destroyed. When doing work, energy change forms and gets transferred to the object until it is released.
for example, when you lift up an object and place it on a higher elevation, you transferred energy to it and gave it potential energy. The potential energy is transformed into kinetic energy when the object falls down, and if it hits a surface, the energy will scatter, vibrating the areas around it and producing sound.
Also, work= force X distance. The energy does not go away, but rather get changed into some other form of energy