Answer:
The current in the heater is 12.5 A
Explanation:
It is given that,
Power of electric heater, P₁ = 1400 W
Power of toaster, P₂ = 1150 W
Power of electric grill, P₃ = 1560 W
All three appliances are connected in parallel across a 112 V emf source. We need to find the current in the heater. We know that in parallel combination of resistors the current flowing in every branch of resistor divides while the voltage is same.
Electric power, ![P_1=V\times I_1](https://tex.z-dn.net/?f=P_1%3DV%5Ctimes%20I_1)
![I_1=\dfrac{P_1}{V}](https://tex.z-dn.net/?f=I_1%3D%5Cdfrac%7BP_1%7D%7BV%7D)
![I_1=\dfrac{1400\ W}{112\ V}](https://tex.z-dn.net/?f=I_1%3D%5Cdfrac%7B1400%5C%20W%7D%7B112%5C%20V%7D)
![I_1=12.5\ A](https://tex.z-dn.net/?f=I_1%3D12.5%5C%20A)
So, the current in the heater is 12.5 A. Hence, this is the required solution.
1) 0.0011 rad/s
2) 7667 m/s
Explanation:
1)
The angular velocity of an object in circular motion is equal to the rate of change of its angular position. Mathematically:
![\omega=\frac{\theta}{t}](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7B%5Ctheta%7D%7Bt%7D)
where
is the angular displacement of the object
t is the time elapsed
is the angular velocity
In this problem, the Hubble telescope completes an entire orbit in 95 minutes. The angle covered in one entire orbit is
rad
And the time taken is
![t=95 min \cdot 60 =5700 s](https://tex.z-dn.net/?f=t%3D95%20min%20%5Ccdot%2060%20%3D5700%20s)
Therefore, the angular velocity of the telescope is
![\omega=\frac{2\pi}{5700}=0.0011 rad/s](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7B2%5Cpi%7D%7B5700%7D%3D0.0011%20rad%2Fs)
2)
For an object in circular motion, the relationship between angular velocity and linear velocity is given by the equation
![v=\omega r](https://tex.z-dn.net/?f=v%3D%5Comega%20r)
where
v is the linear velocity
is the angular velocity
r is the radius of the circular orbit
In this problem:
is the angular velocity of the Hubble telescope
The telescope is at an altitude of
h = 600 km
over the Earth's surface, which has a radius of
R = 6370 km
So the actual radius of the Hubble's orbit is
![r=R+h=6370+600=6970 km = 6.97\cdot 10^6 m](https://tex.z-dn.net/?f=r%3DR%2Bh%3D6370%2B600%3D6970%20km%20%3D%206.97%5Ccdot%2010%5E6%20m)
Therefore, the linear velocity of the telescope is:
![v=\omega r=(0.0011)(6.97\cdot 10^6)=7667 m/s](https://tex.z-dn.net/?f=v%3D%5Comega%20r%3D%280.0011%29%286.97%5Ccdot%2010%5E6%29%3D7667%20m%2Fs)
Many things can affect a material's resistance, The type of material, how the material is being held (If its laying flat, being pulled, etc). What the material is used for, and how much material there is. Hope this helps!
Answer: A) because forces are what stop and start motion
Explanation:
From Newton's first law, an object tends to stay in state of rest or motion unless acted upon by an unbalanced external force. This is also known law of inertia. This is because a force can stop or start a motion. A force cause body to accelerate to decelerate otherwise the body continues with constant speed.
<span>Wave energy is an idea that Robert Hutchings Goddard introduced in his “Further Developments” to his research "A Method of Reaching Extreme Altitudes" </span>