Answer:
C. 3,200
Explanation:
MA= F out/ F in.
multiply F in on both sides to cancel it out so you can solve for F out.
Fin*MA=F out
400 * 8 = F out
3,200= F out
A wave that is traveling fast can be said to have a high speed.<em> (b) </em>
Just like a car, motorcycle, or freight train that is traveling fast.
Answer:
Potential energy plus kinetic energy equals mechanical energy because mechanical energy is basically just all of an object's energy, it's just two kinds of energy. The potential is stored inside and kinetic is being used. Both of those together is the total amount of the objects energy, which is the mechanical energy.
Explanation:
Answer:
Part a)
![v = \sqrt{xg + \frac{MLg}{m}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7Bxg%20%2B%20%5Cfrac%7BMLg%7D%7Bm%7D%7D)
Part b)
t = 12 s
Explanation:
Part a)
Tension in the rope at a distance x from the lower end is given as
![T = \frac{m}{L}xg + Mg](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7Bm%7D%7BL%7Dxg%20%2B%20Mg)
so the speed of the wave at that position is given as
![v = \sqrt{\frac{T}{\mu}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%7D%7D)
here we know that
![\mu = \frac{m}{L}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7Bm%7D%7BL%7D)
now we have
![v = \sqrt{\frac{ \frac{m}{L}xg + Mg}{m/L}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7B%20%5Cfrac%7Bm%7D%7BL%7Dxg%20%2B%20Mg%7D%7Bm%2FL%7D)
![v = \sqrt{xg + \frac{MLg}{m}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7Bxg%20%2B%20%5Cfrac%7BMLg%7D%7Bm%7D%7D)
Part b)
time taken by the wave to reach the top is given as
![t = \int \frac{dx}{\sqrt{xg + \frac{MLg}{m}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cint%20%5Cfrac%7Bdx%7D%7B%5Csqrt%7Bxg%20%2B%20%5Cfrac%7BMLg%7D%7Bm%7D%7D%7D)
![t = \frac{1}{g}(2\sqrt{xg + \frac{MLg}{m}})](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B1%7D%7Bg%7D%282%5Csqrt%7Bxg%20%2B%20%5Cfrac%7BMLg%7D%7Bm%7D%7D%29)
![t = \frac{2}{9.8}(\sqrt{(39.2\times 9.8) + \frac{8(39.2)(9.8)}{1}})](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B2%7D%7B9.8%7D%28%5Csqrt%7B%2839.2%5Ctimes%209.8%29%20%2B%20%5Cfrac%7B8%2839.2%29%289.8%29%7D%7B1%7D%7D%29)
![t = 12 s](https://tex.z-dn.net/?f=t%20%3D%2012%20s)
Answer:
R= 20 ohm
Explanation:
Given that
Current ,I = 6 A
Voltage difference ,ΔV = 120 V
Lets take resistance of the stem iron = R
We know that ,the relationship between current ,voltage difference and resistance is given as
ΔV = I R
![R=\dfrac{\Delta V}{I}](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B%5CDelta%20V%7D%7BI%7D)
Now by putting the values in the above equation we get
![R=\dfrac{120}{6}\ ohm](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B120%7D%7B6%7D%5C%20ohm)
R= 20 ohm
Therefore the resistance of the steam will be 20 ohm.