Answer: 0%
Explanation: hope this help
Answer:
See the answers below.
Explanation:
The total power of the circuit is equal to the sum of the powers of each lamp.
![P=60+100\\P=160 [W]](https://tex.z-dn.net/?f=P%3D60%2B100%5C%5CP%3D160%20%5BW%5D)
Now we have a voltage source equal to 240 [V], so by means of the following equation we can find the current circulating in the circuit.
![P=V*I](https://tex.z-dn.net/?f=P%3DV%2AI)
where:
P = power [W]
V = voltage [V]
I = current [amp]
![I = P/V\\I=160/240\\I=0.67 [amp]](https://tex.z-dn.net/?f=I%20%3D%20P%2FV%5C%5CI%3D160%2F240%5C%5CI%3D0.67%20%5Bamp%5D)
So this is the answer for c) I = 0.67 [amp]
We know that the voltage of each lamp is 240 [V]. Therefore using ohm's law which is equal to the product of resistance by current we can find the voltage of each lamp.
a)
![V=I*R](https://tex.z-dn.net/?f=V%3DI%2AR)
where:
V = voltage [V]
I = current [amp]
R = resistance [ohms]
Therefore we replace this equation in the first to have the current as a function of the resistance and not the voltage.
![P=V*I\\and\\V = I*R\\P = (I*R)*I\\P=I^{2}*R](https://tex.z-dn.net/?f=P%3DV%2AI%5C%5Cand%5C%5CV%20%3D%20I%2AR%5C%5CP%20%3D%20%28I%2AR%29%2AI%5C%5CP%3DI%5E%7B2%7D%2AR)
![60 = (0.67)^{2}*R\\R_{60}=133.66[ohm] \\and\\100=(0.67)^{2} *R\\R_{100}=100/(0.66^{2} )\\R_{100}=225 [ohm]](https://tex.z-dn.net/?f=60%20%3D%20%280.67%29%5E%7B2%7D%2AR%5C%5CR_%7B60%7D%3D133.66%5Bohm%5D%20%5C%5Cand%5C%5C100%3D%280.67%29%5E%7B2%7D%20%2AR%5C%5CR_%7B100%7D%3D100%2F%280.66%5E%7B2%7D%20%29%5C%5CR_%7B100%7D%3D225%20%5Bohm%5D)
b)
The effective resistance of a series circuit is equal to the sum of the resistors connected in series.
![R = 133.66 + 225\\R = 358.67 [ohms]](https://tex.z-dn.net/?f=R%20%3D%20133.66%20%2B%20225%5C%5CR%20%3D%20358.67%20%5Bohms%5D)
The centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
<h3>What is centripetal acceleration?</h3>
Centripetal acceleration is simply the acceleration of a body traversing a circular path.
It is expressed as;
ac = v²/r
Where v is velocity and r is radius.
But, Velocity v = 2πr/t.
Hence,
ac = ( 2πr/t )²/r
Given that;
- Mass m = 2.5kg
- Radius r = 20.0m
- Elapsed time t = 4.0s
- Centripetal acceleration = ?
ac = ( (2 × π × 20m) / 4.0s )² / 20m
ac = ( 31.4m/s )² / 20m
ac = (985.96m²/s²) / 20m
ac = 49.3m/s²
Therefore, the centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
Learn more about centripetal acceleration here: brainly.com/question/14465119
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Answer:
Explanation:
We know that , for an object to remain in circular motion , a force towards centre is required which is called centripetal force. In the circular motion of
satellites around planet , this force is provided by the gravitational attraction between satellite and planet.
If M be the mass of planet and m be the mass of satellite, G be gravitational constant and R be the distance between planet and satellite or R be the radius of orbit
Gravitational force = G Mm / R²
If v be the velocity with which satellite is orbiting
centripetal force
= m v² /R
Centripetal force = gravitational attraction
m v² /R = G Mm / R²
v = ![\sqrt{\frac{GM}{R} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BGM%7D%7BR%7D%20%7D)
Time period = time the satellite takes to make one rotation
= distance / orbital velocity
= 2πR/ v
= ![\frac{2\pi R\sqrt{R} }{\sqrt{GM} }](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20R%5Csqrt%7BR%7D%20%7D%7B%5Csqrt%7BGM%7D%20%7D)
T = ![\frac{2\pi R^\frac{3}{2} }{\sqrt{GM} }](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20R%5E%5Cfrac%7B3%7D%7B2%7D%20%7D%7B%5Csqrt%7BGM%7D%20%7D)
Answer:
Velocity = 12 m/s
Explanation:
Given the following data;
Wavelength = 6 meters
Period = 0.5 seconds. This is due to the fact that the student is moving his hand up and down twice each second.
To find the velocity;
Velocity = wavelength * frequency
But, frequency = 1/period
Frequency = 1/0.5
Frequency = 2
Substituting the values into the velocity formula, we have;
Velocity = 6 * 2
Velocity = 12 m/s
Therefore, the velocity of the wave is 12 meters per seconds.