Answer:
On the standing waves on a string, the first antinode is one-fourth of a wavelength away from the end. This means

This means that the relation between the wavelength and the length of the string is

By definition, this standing wave is at the third harmonic, n = 3.
Furthermore, the standing wave equation is as follows:

The bead is placed on x = 0.138 m. The maximum velocity is where the derivative of the velocity function equals to zero.


For this equation to be equal to zero, sin(59.94t) = 0. So,

This is the time when the velocity is maximum. So, the maximum velocity can be found by plugging this time into the velocity function:

Answer:
Heat has accelerated water atoms enough to break the surface tension which leads the liquid to turn into a gas
Explanation:
The state of a substance depends on the distribution of its atoms, therefore any atmosphere change (in this case heat) enough to change the atoms Distribution results in a change of state.
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Answer:
387 volts
Explanation:
Ohm's law is used to relate voltage, current and resistance.
The formula is as follows:V = I * R
where:
V is the applied voltage (measured in volts)
I is the current flowing (measured in amperes)
R is the resistance (measured in ohm)
In the given, we have:
current (I) = 9 amperes
resistance (R) = 43 ohm
Substitute with the givens in the above formula to get the voltage as follows:
V = 9 * 43
V = 387 volts
Hope this helps :)
The resultant displacement of the man is 109.77 km in the direction N60°E.
<h3>Displacement</h3>
Displacement is the distance travelled in a specified direction.
To calculate displacement, the straight line from starting point to end point of travel is taken and calculated.
<h3>Resultant displacement of the man </h3>
In the example above, a man walks 95 km, East, then 55 km, north.
The two distances form a right-angled triangle with two sides 95 and 55 units. The hypotenuse gives the resultant displacement, D.
Using Pythagoras rule:
D^2 = 95^2 + 55^2
D^2 = 12050
D = 109.77
Thus, the resultant displacement is 109.77 km
To calculate the direction:
Let the direction be y
y + x = 90°
tan x = 55/95
tanx x = 0.578
x = 30°
Then, y = 90 - 30
y = 60°
Therefore, the resultant displacement of the man is 109.77 km in the direction N60°E.
Learn more about displacement at: brainly.com/question/321442