The wave speed completely depends on the characteristics and properties of the medium . . . physical properties for mechanical waves, electrical properties for electromagnedtic waves.
So if you want to change the speed of a wave, you have to change the medium . . . shoot it through some different kind of stuff. <em>(B) </em>
Answer:
(a) α = 35.20 rad/s^2
(b) θ = 802°
(c) v = 139.73 cm/s
(d) a = 156.64 cm/s^2
Explanation:
(a) To find the angular acceleration of the disc you use the following formula:
(1)
w: angular speed of the disc = 31.4 rad/s
wo: initial angular speed = 0 rad/s
t: time = 0.892s
You replace the values of the parameters in the equation (1):
![\alpha=\frac{31.4rad/s-0rad/s}{0.892s}=35.20\frac{rad}{s^2}](https://tex.z-dn.net/?f=%5Calpha%3D%5Cfrac%7B31.4rad%2Fs-0rad%2Fs%7D%7B0.892s%7D%3D35.20%5Cfrac%7Brad%7D%7Bs%5E2%7D)
The angular acceleration of the disc, for the given time, is 35.20rad/s^2
(b) To calculate the angle describe by the disc in such a time you use:
(2)
![\theta=\frac{1}{2}(35.20rad/s^2)(0.892s)^2=14.00rad](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B1%7D%7B2%7D%2835.20rad%2Fs%5E2%29%280.892s%29%5E2%3D14.00rad)
In degrees you have:
![\theta=14.00rad*\frac{180\°}{\pi \ rad}=802\°](https://tex.z-dn.net/?f=%5Ctheta%3D14.00rad%2A%5Cfrac%7B180%5C%C2%B0%7D%7B%5Cpi%20%5C%20rad%7D%3D802%5C%C2%B0)
The angle described by the disc is 802°
(c) To calculate the tangential speed of the microbe for t=0.892s, you use the following formula:
(3)
w: angular speed for t = 0.892s = 31.4rad/s
r: radius of the disc = 4.45cm
![v=(31.4rad/s)(4.45cm)=139.73\frac{cm}{s}](https://tex.z-dn.net/?f=v%3D%2831.4rad%2Fs%29%284.45cm%29%3D139.73%5Cfrac%7Bcm%7D%7Bs%7D)
The tangential speed is 139.73 cm/s
(d) The tangential acceleration is calculated by using the following formula:
![a=\alpha r](https://tex.z-dn.net/?f=a%3D%5Calpha%20r)
α: angular acceleration for t=0.892s
![a=(35.20rad/s^2)(4.45cm)=156.64\frac{cm}{s^2}](https://tex.z-dn.net/?f=a%3D%2835.20rad%2Fs%5E2%29%284.45cm%29%3D156.64%5Cfrac%7Bcm%7D%7Bs%5E2%7D)
The tangential acceleration is 156.64cm/s^2
It takes 3 half-lives:
1. 1000 -> 500
2. 500 -> 250
3. 250 ->125
I'm not sure about the Virginia thing so good luck!
And congratulations on being my first answer-person!!
Answer:
F = 2.6692 x 10⁻⁹ N
Explanation:
Given,
The mass of the rock, m = 10 kg
The mass of the boulder, M = 100 kg
The distance between them, d = 5 m
The gravitational force between the two bodies is proportional to the product of their masses and inversely proportional to the square of the distance between them. It is given by the formula
<em> F = GMm/d² newton</em>
Where,
G - Universal gravitational constant
Substituting the given values,
F = 6.673 x 10⁻¹¹ x 100 x 10 / 5²
F = 2.6692 X 10⁻⁹ N
Hence, the force between the two bodies is, F = 2.6692 X 10⁻⁹ N
Robert threw the Frisbee at 10 m/s.
This is because the formula for average speed is: v = d/t
v = Average speed or average velocity
d = Distance
t = Time
so the formula would say v = 50m/5s; v = 10m/s