Answer:9.51 m/s
Explanation:
Given
Window is 4.35 m above ground
time taken=1.2 s
Let u be the initial velocity of keys
![s=ut+\frac{gt^2}{2}](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7Bgt%5E2%7D%7B2%7D)
where s=distance traveled
u=initial velocity
t=time taken
g=acceleration due to gravity
![4.35=u\times 1.2+\frac{(-9.8)1.2^2}{2}](https://tex.z-dn.net/?f=4.35%3Du%5Ctimes%201.2%2B%5Cfrac%7B%28-9.8%291.2%5E2%7D%7B2%7D)
![u=\frac{11.4132}{1.2}=9.511 m/s](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B11.4132%7D%7B1.2%7D%3D9.511%20m%2Fs)
(b)velocity of keys just before they were caught
v=u+at
![v=9.511-9.8\times 1.2](https://tex.z-dn.net/?f=v%3D9.511-9.8%5Ctimes%201.2)
v=-2.26 m/s
Here negative sign indicates downward motion of keys
The force exerted by the Sun on the Earth is ![=3.557 \times 10^{22}](https://tex.z-dn.net/?f=%3D3.557%20%5Ctimes%2010%5E%7B22%7D)
<h3>What is the Netwon law of the gravity state?</h3>
Newton's law of gravity states that the force executed by a body on another body is calculated
![$F=\frac{G \cdot m_1 \cdot m_2}{d^2}$](https://tex.z-dn.net/?f=%24F%3D%5Cfrac%7BG%20%5Ccdot%20m_1%20%5Ccdot%20m_2%7D%7Bd%5E2%7D%24)
<h3>What is universal gravitation?</h3>
The universal gravitation constant
![$G=6 \cdot 67 \times 10^{-11} \cdot \mathrm{m}^3 \cdot 8^{-2} \cdot \mathrm{kg}^{-1}$](https://tex.z-dn.net/?f=%24G%3D6%20%5Ccdot%2067%20%5Ctimes%2010%5E%7B-11%7D%20%5Ccdot%20%5Cmathrm%7Bm%7D%5E3%20%5Ccdot%208%5E%7B-2%7D%20%5Ccdot%20%5Cmathrm%7Bkg%7D%5E%7B-1%7D%24)
Here we know that
The mass of the sun is
is the
The mass of the moon is ![$m_M=7.3 \times 10^{22} \mathrm{~kg}$](https://tex.z-dn.net/?f=%24m_M%3D7.3%20%5Ctimes%2010%5E%7B22%7D%20%5Cmathrm%7B~kg%7D%24)
The mass of the Earth is ![$m_E=6.0 \times 10^{24} \mathrm{kg}$](https://tex.z-dn.net/?f=%24m_E%3D6.0%20%5Ctimes%2010%5E%7B24%7D%20%5Cmathrm%7Bkg%7D%24)
The distance between the Sun and the Earth is
![$$d_{S E}=1.5 \times 10^{11} \mathrm{~m}$$](https://tex.z-dn.net/?f=%24%24d_%7BS%20E%7D%3D1.5%20%5Ctimes%2010%5E%7B11%7D%20%5Cmathrm%7B~m%7D%24%24)
The distance between the earth and the moon is
![$$d_{E M}=3.85 \times 10^8 \mathrm{~m} \text {. }$$](https://tex.z-dn.net/?f=%24%24d_%7BE%20M%7D%3D3.85%20%5Ctimes%2010%5E8%20%5Cmathrm%7B~m%7D%20%5Ctext%20%7B.%20%7D%24%24)
Here the calculation is:
![F_{S E}=\frac{G \cdot m_S \cdot m_E}{\left(d_{S E}\right)^2}](https://tex.z-dn.net/?f=F_%7BS%20E%7D%3D%5Cfrac%7BG%20%5Ccdot%20m_S%20%5Ccdot%20m_E%7D%7B%5Cleft%28d_%7BS%20E%7D%5Cright%29%5E2%7D)
![$=\frac{6.67 \times 10^{-11} \times 2.0 \times 10^{30} \times 6.0 \times 10^{24}}{\left(1.5 \times 10^{11}\right)^2}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B6.67%20%5Ctimes%2010%5E%7B-11%7D%20%5Ctimes%202.0%20%5Ctimes%2010%5E%7B30%7D%20%5Ctimes%206.0%20%5Ctimes%2010%5E%7B24%7D%7D%7B%5Cleft%281.5%20%5Ctimes%2010%5E%7B11%7D%5Cright%29%5E2%7D%24)
![$=\frac{80.04 \times 10^{43}}{1.5^2 \times 10^{22}}=\frac{80.04 \times 10^{21}}{2.25}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B80.04%20%5Ctimes%2010%5E%7B43%7D%7D%7B1.5%5E2%20%5Ctimes%2010%5E%7B22%7D%7D%3D%5Cfrac%7B80.04%20%5Ctimes%2010%5E%7B21%7D%7D%7B2.25%7D%24)
![=3.557 \times 10^{22}](https://tex.z-dn.net/?f=%3D3.557%20%5Ctimes%2010%5E%7B22%7D)
To learn more about quadratic equations, refer: brainly.com/question/21570007
#SPJ4
In a series circuit, the CURRENT must be the same at every point.
Answer:
The goal of physics is to understand how things work from first principles. ... Courses in physics reveal the mathematical beauty of the universe at scales ranging from subatomic to cosmological. Studying physics strengthens quantitative reasoning and problem solving skills that are valuable in areas beyond physics.