Answer:
mechanical waves,
.
the quality of a sound governed by the rate of vibrations producing it; the degree of highness or lowness of a tone.
.
If the amplitude increases the volume increases and vice versa.
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The type of medium affects a sound wave as sound travels with the help of the vibration in particles.
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The higher the frequency, the shorter the wavelength.
Explanation:
Length of the pipe = 0.39 m
Number of harmonics = 3
Now there are 3 loops so here we can say
![3\times \frac{\lambda}{2} = 0.39](https://tex.z-dn.net/?f=3%5Ctimes%20%5Cfrac%7B%5Clambda%7D%7B2%7D%20%3D%200.39)
![\lambda = 0.26 m](https://tex.z-dn.net/?f=%5Clambda%20%3D%200.26%20m)
now here at the center of the pipe it will form Node
we need to find the distance of nearest antinode
So distance between node and its nearest antinode will be
![d = \frac{\lambda}{4}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B%5Clambda%7D%7B4%7D)
![d = \frac{0.26}{4} = 0.065 m = 6.5 cm](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B0.26%7D%7B4%7D%20%3D%200.065%20m%20%3D%206.5%20cm)
So the distance will be 6.5 cm
Hi there!
We can use Newton's Second Law:
![\Sigma F = ma](https://tex.z-dn.net/?f=%5CSigma%20F%20%3D%20ma)
ΣF = Net force (N)
m = mass (kg)
a = acceleration (m/s²)
We can rearrange the equation to solve for the acceleration.
![a = \frac{\Sigma F}{m}\\\\a = \frac{24}{4} = \boxed{6 \frac{m}{s^2}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B%5CSigma%20F%7D%7Bm%7D%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B24%7D%7B4%7D%20%3D%20%5Cboxed%7B6%20%5Cfrac%7Bm%7D%7Bs%5E2%7D%7D)
Hello!
A stretched spring has 5184 J of elastic potential energy and a spring constant of 16,200 N/m. What is the displacement of the spring ?
Data:
![E_{pe}\:(elastic\:potential\:energy) = 5184\:J](https://tex.z-dn.net/?f=E_%7Bpe%7D%5C%3A%28elastic%5C%3Apotential%5C%3Aenergy%29%20%3D%205184%5C%3AJ)
![K\:(constant) = 16200\:N/m](https://tex.z-dn.net/?f=K%5C%3A%28constant%29%20%3D%2016200%5C%3AN%2Fm)
![x\:(displacement) =\:?](https://tex.z-dn.net/?f=x%5C%3A%28displacement%29%20%3D%5C%3A%3F)
For a spring (or an elastic), the elastic potential energy is calculated by the following expression:
![E_{pe} = \dfrac{k*x^2}{2}](https://tex.z-dn.net/?f=E_%7Bpe%7D%20%3D%20%5Cdfrac%7Bk%2Ax%5E2%7D%7B2%7D)
Where k represents the elastic constant of the spring (or elastic) and x the deformation or displacement suffered by the spring.
Solving:
![E_{pe} = \dfrac{k*x^2}{2}](https://tex.z-dn.net/?f=E_%7Bpe%7D%20%3D%20%5Cdfrac%7Bk%2Ax%5E2%7D%7B2%7D)
![5184 = \dfrac{16200*x^2}{2}](https://tex.z-dn.net/?f=5184%20%3D%20%5Cdfrac%7B16200%2Ax%5E2%7D%7B2%7D)
![5184*2 = 16200*x^2](https://tex.z-dn.net/?f=5184%2A2%20%3D%2016200%2Ax%5E2)
![10368 = 16200\:x^2](https://tex.z-dn.net/?f=10368%20%3D%2016200%5C%3Ax%5E2)
![16200\:x^2 = 10368](https://tex.z-dn.net/?f=16200%5C%3Ax%5E2%20%3D%2010368)
![x^{2} = \dfrac{10368}{16200}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%20%5Cdfrac%7B10368%7D%7B16200%7D)
![x^{2} = 0.64](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%200.64)
![x = \sqrt{0.64}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B0.64%7D)
![\boxed{\boxed{x = 0.8\:m}}\end{array}}\qquad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7Bx%20%3D%200.8%5C%3Am%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Ccheckmark)
Answer:
The displacement of the spring = 0.8 m
_______________________________
I Hope this helps, greetings ... Dexteright02! =)
Answer:
7.5 m
Explanation:
= initial speed of the ball = 8 m/s
= angle of launch = 40° deg
Consider the motion along the vertical direction :
= initial velocity along vertical direction =
= 8 Sin40 = 5.14 m/s
= acceleration along vertical direction = - 9.8 m/s²
= time of travel
= vertical displacement = - 1 m
Using the kinematics equation
![y = v_{oy}t + (0.5)a_{y}t^{2}](https://tex.z-dn.net/?f=y%20%3D%20v_%7Boy%7Dt%20%2B%20%280.5%29a_%7By%7Dt%5E%7B2%7D)
![- 1 = (5.14)t + (0.5)(- 9.8)t^{2](https://tex.z-dn.net/?f=-%201%20%3D%20%285.14%29t%20%2B%20%280.5%29%28-%209.8%29t%5E%7B2)
= 1.22 sec
Consider the motion along the horizontal direction :
= initial velocity along horizontal direction =
= 8 Cos40 = 6.13 m/s
= acceleration along vertical direction = 0 m/s²
= time of travel = 1.22 sec
= horizontal displacement = ?
Using the kinematics equation
![x = v_{ox}t + (0.5)a_{x}t^{2}](https://tex.z-dn.net/?f=x%20%3D%20v_%7Box%7Dt%20%2B%20%280.5%29a_%7Bx%7Dt%5E%7B2%7D)
![x = (6.13)(1.22) + (0.5)(0)(1.22)^{2](https://tex.z-dn.net/?f=x%20%3D%20%286.13%29%281.22%29%20%2B%20%280.5%29%280%29%281.22%29%5E%7B2)
= 7.5 m