Answer:
<em><u>A.9</u></em><em><u> </u></em><em><u>kWh</u></em>
Explanation:
Tv is rated 0.1 kW
in one day energy used will be 0.1kW ×3hr=0.3kwh
in 30 days energy used will be 0.3kwh×30=9kwh
It’s not arrested because if you look closer it’s plug walk I don’t even understand how it talk tho
Initially, the energies are:
![U_{i}=-\frac{G M_{\varepsilon} m}{r_{e}} \\ =K_{i}=\frac{1}{2} m v_{0}^{2}](https://tex.z-dn.net/?f=U_%7Bi%7D%3D-%5Cfrac%7BG%20M_%7B%5Cvarepsilon%7D%20m%7D%7Br_%7Be%7D%7D%20%5C%5C%0A%3DK_%7Bi%7D%3D%5Cfrac%7B1%7D%7B2%7D%20m%20v_%7B0%7D%5E%7B2%7D)
At final point, the energies are:
![U_{f}=-\frac{G M_{\varepsilon} m}{r_{e}+h} \\ K_{f}=\frac{1}{2} m(0)^{2}=0](https://tex.z-dn.net/?f=U_%7Bf%7D%3D-%5Cfrac%7BG%20M_%7B%5Cvarepsilon%7D%20m%7D%7Br_%7Be%7D%2Bh%7D%20%5C%5C%0AK_%7Bf%7D%3D%5Cfrac%7B1%7D%7B2%7D%20m%280%29%5E%7B2%7D%3D0)
Using conservation law of energy,
The equation is further simplified as:
![r_{e}+h &=\left(\frac{2 r_{e}}{2 G M_{e}-r_{e} v_{0}^{2}}\right) G M_{e} \\ h &=\frac{2 r_{e} G M_{e}}{2 G M_{e}-r_{e} v_{0}^{2}}-r_{e} \\ &=\frac{2 r_{e} G M_{e}-2 r_{e} G M_{e}+r_{e}^{2} v_{0}^{2}}{2 G M_{e}-r_{e} v_{0}^{2}} \\ & h=\frac{r_{e}^{2} v_{0}^{2}}{2 G M_{e}-r_{e} v_{0}^{2}}](https://tex.z-dn.net/?f=r_%7Be%7D%2Bh%20%26%3D%5Cleft%28%5Cfrac%7B2%20r_%7Be%7D%7D%7B2%20G%20M_%7Be%7D-r_%7Be%7D%20v_%7B0%7D%5E%7B2%7D%7D%5Cright%29%20G%20M_%7Be%7D%20%5C%5C%0Ah%20%26%3D%5Cfrac%7B2%20r_%7Be%7D%20G%20M_%7Be%7D%7D%7B2%20G%20M_%7Be%7D-r_%7Be%7D%20v_%7B0%7D%5E%7B2%7D%7D-r_%7Be%7D%20%5C%5C%0A%26%3D%5Cfrac%7B2%20r_%7Be%7D%20G%20M_%7Be%7D-2%20r_%7Be%7D%20G%20M_%7Be%7D%2Br_%7Be%7D%5E%7B2%7D%20v_%7B0%7D%5E%7B2%7D%7D%7B2%20G%20M_%7Be%7D-r_%7Be%7D%20v_%7B0%7D%5E%7B2%7D%7D%20%5C%5C%0A%26%20h%3D%5Cfrac%7Br_%7Be%7D%5E%7B2%7D%20v_%7B0%7D%5E%7B2%7D%7D%7B2%20G%20M_%7Be%7D-r_%7Be%7D%20v_%7B0%7D%5E%7B2%7D%7D)
Maggie is trying to find out if the amount of sugar in a liquid affects the amount of time it takes to freeze
A good hypothesis is: The more sugar in the drink the longer it takes to freeze
Conclusion= she concludes that her hypothesis is correct as the unsweetened tea froze the fastest while the root beer took the longest time as it contained the most sugar