Complete question:
A taut rope has a mass of 0.123 kg and a length of 3.54 m. What average power must be supplied to the rope to generate sinusoidal waves that have amplitude 0.200 m and wavelength 0.600 m if the waves are to travel at 28.0 m/s ?
Answer:
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.
Explanation:
Velocity = Frequency X wavelength
V = Fλ ⇒ F = V/λ
F = 28/0.6 = 46.67 Hz
Angular frequency (ω) = 2πF = 2π (46.67) = 93.34π rad/s
Average power supplied to the rope will be calculated as follows

where;
ω is the angular frequency
A is the amplitude
V is the velocity
μ is mass per unit length = 0.123/3.54 = 0.0348 kg/m
= 1676.159 watts
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.
Hi there!
Recall the equation for spring potential energy:

k = Spring constant (N/m)
x = extension of spring from equilibrium (m)
PE = Potential Energy (J)
Plug in the given values:

The average velocity of an object is given by:
Average velocity = total displacement / total time
First, we calculate the time taken to reach the maximum height of the ball. This occurs when the final velocity is 0.
Vf = Vi + at
0 = 19.6 - 9.81 * t
t = 2 seconds
The total trip will be of 4 seconds (2 seconds up, 2 seconds down)
The total displacement is given by:
s = ut + 1/2 * at²
s = 19.6 * 2 - 0.5 * 9.81 * 2²
s = 19.6 meters
This is the distance maximum height, so the total height is
19.6 * 2 = 39.2 meters
Average velocity = 39.2 / 4
Average velocity = 9.8 m/s
Answer:

Explanation:
We have,
Speed of an electron is 
It is required to find the De Broglie wavelength of electron. The formula for the De- Broglie wavelength is given by :

h is Planck's constant
m is mass of an electron
Plugging all the values we get :

So, the De-Broglie wavelength of an electron is 
It's the number of protons that are in an element