A heat pump? it might be furnace but i think its heat pump
Explanation:
Given that,
Terminal voltage = 3.200 V
Internal resistance ![r= 5.00\ \Omega](https://tex.z-dn.net/?f=r%3D%205.00%5C%20%5COmega)
(a). We need to calculate the current
Using rule of loop
![E-IR-Ir=0](https://tex.z-dn.net/?f=E-IR-Ir%3D0)
![I=\dfrac{E}{R+r}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BE%7D%7BR%2Br%7D)
Where, E = emf
R = resistance
r = internal resistance
Put the value into the formula
![I=\dfrac{3.200}{1.00\times10^{3}+5.00}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7B3.200%7D%7B1.00%5Ctimes10%5E%7B3%7D%2B5.00%7D)
![I=3.184\times10^{-3}\ A](https://tex.z-dn.net/?f=I%3D3.184%5Ctimes10%5E%7B-3%7D%5C%20A)
(b). We need to calculate the terminal voltage
Using formula of terminal voltage
![V=E-Ir](https://tex.z-dn.net/?f=V%3DE-Ir)
Where, V = terminal voltage
I = current
r = internal resistance
Put the value into the formula
![V=3.200-3.184\times10^{-3}\times5.00](https://tex.z-dn.net/?f=V%3D3.200-3.184%5Ctimes10%5E%7B-3%7D%5Ctimes5.00)
![V=3.18\ V](https://tex.z-dn.net/?f=V%3D3.18%5C%20V)
(c). We need to calculate the ratio of the terminal voltage of voltmeter equal to emf
![\dfrac{Terminal\ voltage}{emf}=\dfrac{3.18}{3.200 }](https://tex.z-dn.net/?f=%5Cdfrac%7BTerminal%5C%20voltage%7D%7Bemf%7D%3D%5Cdfrac%7B3.18%7D%7B3.200%20%7D)
![\dfrac{Terminal\ voltage}{emf}= \dfrac{159}{160}](https://tex.z-dn.net/?f=%5Cdfrac%7BTerminal%5C%20voltage%7D%7Bemf%7D%3D%20%5Cdfrac%7B159%7D%7B160%7D)
Hence, This is the required solution.
Winds that blow from the north and south poles would be called k<span>atabatic winds. I'm not sure if I spelled that right, but that's the answer I hope.</span>
Data:
F (force) = ? (Newton)
k (<span>Constant spring force) = 50 N/m
x (</span>Spring deformation) = 15 cm → 0.15 m
Formula:
![F = k*x](https://tex.z-dn.net/?f=F%20%3D%20k%2Ax)
Solving:
![F = k*x](https://tex.z-dn.net/?f=F%20%3D%20k%2Ax)
![F = 50*0.15](https://tex.z-dn.net/?f=F%20%3D%2050%2A0.15)
![\boxed{\boxed{F = 7.5\:N}}\end{array}}\qquad\quad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7BF%20%3D%207.5%5C%3AN%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Cquad%5Ccheckmark)
Data:
E (energy) = ? (joule)
k (Constant spring force) = 50 N/m
x (Spring deformation) = 15 cm → 0.15 m
Formula:
![E = \frac{k*x^2}{2}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Bk%2Ax%5E2%7D%7B2%7D%20)
Solving:(Energy associated with this stretching)
![E = \frac{k*x^2}{2}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Bk%2Ax%5E2%7D%7B2%7D%20)
![E = \frac{50*0.15^2}{2}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B50%2A0.15%5E2%7D%7B2%7D%20)
![E = \frac{50*0.0225}{2}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B50%2A0.0225%7D%7B2%7D%20)
![E = \frac{1.125}{2}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B1.125%7D%7B2%7D%20)
![3*10^{8} m = 3*10^{5} km = 3*10^{2} Mm = 3*10^{-1} Gm](https://tex.z-dn.net/?f=3%2A10%5E%7B8%7D%20m%20%3D%203%2A10%5E%7B5%7D%20km%20%3D%203%2A10%5E%7B2%7D%20Mm%20%3D%203%2A10%5E%7B-1%7D%20Gm)
Each increase in the prefix is a division by 1000.