Answer:
The speed of sound in this gas is 409.6 m/s.
Explanation:
The length of the column changes from 20 cm from resonance to resonance. Thus,
The length change from one resonance to resonance. so, there is 1 loop change. So,
ΔL = 1 loop = λ/2
ΔL = 20 cm (given)
Also, 1 cm = 0.01 m
So,
ΔL = 0.2 cm (given)
The wavelength is:
λ = ΔL×2
λ = 2x0.2 = 0.4 m
Given:
Frequency (ν) = 1024 Hz
<u>Velocity of the sound in the gas = ν×λ = 1024×0.4 m/s = 409.6 m/s</u>
Answer:
Their kinetic energies have the same magnitude and sign.
Explanation:
Hi there!
Kinetic energy is not a vector, then it has no direction and therefore it does not matter the sense of movement of the car relative to a system of reference. Mathematically it would be also impossible to obtain a negative kinetic energy. The equation of kinetic energy (KE) is the following:
KE = 1/2 · m · v²
where m is the mass of the car (always positive) and v is its speed (not velocity, remember that the speed is the magnitude of the velocity vector, that´s why the kinetic energy is not a vector. I agree that the "v" in the formula is confusing).
So, even if we use a negative speed (that would be wrong), the kinetic energy will be positive because the speed is squared.
Then, if the cars have the same mass and speed, they will have the same kinetic energy, magnitude and sign (positive).
(a) The maximum height reached by Jane is 1.8 m.
(b) The length of the vine will affect the time of her motion, which will impact on speed and maximum height attained.
<h3>
Maximum height Jane can swing</h3>
apply the principle of conservation of energy;
P.E = K.E
mgh = ¹/₂mv²
h = v²/2g
where;
- v is speed of jane
- g is acceleration due to gravity
h = (6²)/(2 x 9.8)
h = 1.84 m
<h3>Time of motion of Jane</h3>
Assuming Jane to be in simple harmonic motion, the time of motion is calculated as;
T = 2π√(L/g)
where;
- L is the length of the vine
Thus, the length of the vine will affect the time of her motion, which will impact on speed and maximum height attained.
Learn more about maximum height here: brainly.com/question/12446886
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Answer: When the worker is on the top rung
Explanation: When the ladder was initially resting on the wall, the torque from the normal reaction on ladder from the horizontal surface is equal to the torque from the vertical surface on ladder.
The weight of the worker produces a torque which is in the direction of the torque from the normal reaction on ladder, produced by the vertical surface. Therefore for the ladder to stay in rotational equilibrium, the torque on ladder from the normal reaction produced by the horizontal surface must increase.
This increase is possible when the worker is on the lower rung, but as the worker goes high, the magnitude of normal reaction from the vertical surface would increase, thereby increasing the risk of slipping of ladder.
Answer:
Explanation:
Let´s find the capacitor impedance:
Using the data provided:
Ω
Now let´s find the capacitance:
μF
We can calculate the capacitor impedance for the second case:
Ω
Finally we can calculate the voltage of the second generator: