Answer:
<em>The velocity of sound in the guitar string = 129.99 m/s</em>
Explanation:
Harmonics: A harmonic is a note with frequency equal to an integral multiple of that of the fundamental frequency.
<em>Note:</em> The harmonics of a string is the same as the harmonics of an open pipe.
f₆ = 3v/l ............................ Equation 1
making v the subject of the equation,
v = f₆l/3 ......................... Equation 2
Where f₆ = Is the sixth harmonics of the the string, v = velocity of sound in the guitar string, l = length of the guitar string.
<em>Given: </em>f₆ = 557.14 Hz, l = 70 cm = 0.7 m.
Substituting into equation 2
v = (557.14×0.7)/3
<em>v = 129.99 m/s</em>
<em>Thus the velocity of sound in the guitar string = 129.99 m/s</em>
Earth's surface warms up in the sunlight. At night, Earth's surface cools, releasing the heat back into the air. But some of the heat istrapped<span> by the greenhouse </span>gases<span> in the </span>atmosphere<span>. ... Greenhouse </span>effect<span> of Earth's </span>atmosphere<span> keeps some of the Sun's energy from escaping back into space at night.</span>
Force = (mass) x (acceleration)
Force = (18 kg) x (3 m/s²) = 54 newtons
As long as you continue pushing the cart with 54 newtons of force,
it will accelerate at 3 m/s².
At the instant you release it, or keep your hands on it but stop pushing,
it will stop accelerating. It'll continue forward at the speed it had when
the 54 newtons of force stopped.
The Maximum Kinetic energy of a proton is -
E(max) = 0.063 x joules.
We have a Cyclotron designed to accelerate protons.
We have to determine the Maximum Kinetic energy of Protons.
<h3>What is a Cyclotron? On what principle it works?</h3>
Cyclotron is a device used to accelerate charged particles to high energies. It works on the principle that a charged particle moving normal to a magnetic field experiences magnetic Lorentz force due to which the particle moves in a circular path. The magnetic Lorentz force is given by-
F = qvB sinθ
According to the question -
In a cyclotron the force by a magnetic field is equal to the centrifugal force.
Now, for r(max) - ( Since v = rω)
q v(max) B sin (90) =
Now -
r(max) = 0.35 m
B = 0.8 Tesla
Therefore -
v(max) =
v(max) = 0.28 x m/sec
Therefore, the Maximum kinetic energy =
E(max) =
E(max) =
E(max) = 0.063 x joules
Hence, the Maximum Kinetic energy of a proton is -
E(max) = 0.063 x joules.
To solve more questions on Cyclotron, visit the link below-
brainly.com/question/14555284
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The voltage at the end of the conductors is 12V
<u>Explanation:</u>
Given:
Resistance, R = 12Ω
Heat released, H = 144J
Time, t = 12s
Voltage, V = ?
According to joule's law:
H = I²RT
where,
I is the current
T is the time
R is the resistance
The above formula can also be written as:
where,
V is the voltage
On substituting the value in the formula we get:
Therefore, the voltage at the end of the conductors is 12V