Answer
given,
mass of satellite = 545 Kg
R = 6.4 x 10⁶ m
H = 2 x 6.4 x 10⁶ m
Mass of earth = 5.972 x 10²⁴ Kg
height above earth is equal to earth's mean radius
a) satellite's orbital velocity
centripetal force acting on satellite = ![\dfrac{mv^2}{r}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmv%5E2%7D%7Br%7D)
gravitational force = ![\dfrac{GMm}{r^2}](https://tex.z-dn.net/?f=%5Cdfrac%7BGMm%7D%7Br%5E2%7D)
equating both the above equation
![\dfrac{mv^2}{r} = \dfrac{GMm}{r^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmv%5E2%7D%7Br%7D%20%3D%20%5Cdfrac%7BGMm%7D%7Br%5E2%7D)
![v = \sqrt{\dfrac{GM}{r}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cdfrac%7BGM%7D%7Br%7D%7D)
![v = \sqrt{\dfrac{6.67 \times 10^{-11}\times 5.972 \times 10^{24}}{2 \times 6.4 \times 10^6}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cdfrac%7B6.67%20%5Ctimes%2010%5E%7B-11%7D%5Ctimes%205.972%20%5Ctimes%2010%5E%7B24%7D%7D%7B2%20%5Ctimes%206.4%20%5Ctimes%2010%5E6%7D%7D)
v = 5578.5 m/s
b) ![T= \dfrac{2\pi\ r}{v}](https://tex.z-dn.net/?f=T%3D%20%5Cdfrac%7B2%5Cpi%5C%20r%7D%7Bv%7D)
![T= \dfrac{2\pi\times 2\times 6.4 \times 10^6}{5578.5}](https://tex.z-dn.net/?f=T%3D%20%5Cdfrac%7B2%5Cpi%5Ctimes%202%5Ctimes%206.4%20%5Ctimes%2010%5E6%7D%7B5578.5%7D)
![T= \dfrac{2\pi\times 2\times 6.4 \times 10^6}{5578.5}](https://tex.z-dn.net/?f=T%3D%20%5Cdfrac%7B2%5Cpi%5Ctimes%202%5Ctimes%206.4%20%5Ctimes%2010%5E6%7D%7B5578.5%7D)
T = 14416.92 s
![T = \dfrac{14416.92}{3600}\ hr](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B14416.92%7D%7B3600%7D%5C%20hr)
T = 4 hr
c) gravitational force acting
![F = \dfrac{GMm}{r^2}](https://tex.z-dn.net/?f=F%20%3D%20%5Cdfrac%7BGMm%7D%7Br%5E2%7D)
![F = \dfrac{6.67 \times 10^{-11}\times 545 \times 5.972 \times 10^{24} }{(6.46 \times 10^6)^2}](https://tex.z-dn.net/?f=F%20%3D%20%5Cdfrac%7B6.67%20%5Ctimes%2010%5E%7B-11%7D%5Ctimes%20545%20%5Ctimes%205.972%20%5Ctimes%2010%5E%7B24%7D%20%7D%7B%286.46%20%5Ctimes%2010%5E6%29%5E2%7D)
F = 5202 N
Answer:
i think D I hope this helps!!!!
Distance, since distance represents how far something has travelled, which would be in our case 2.5m.
Answer:
![1030.83\ \text{N}](https://tex.z-dn.net/?f=1030.83%5C%20%5Ctext%7BN%7D)
Explanation:
= Cambio en la longitud de la cuerda = 0.25 cm
T = tensión en cuerda
A = Área de la cadena = ![\dfrac{\pi}{4}d^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpi%7D%7B4%7Dd%5E2)
d = Diámetro de la cuerda = 0.2 cm
L = Longitud original de la cuerda = 1.6 m
El cambio de longitud de una cuerda viene dado por
![\Delta L=\dfrac{TL}{AE}\\\Rightarrow T=\dfrac{\Delta LAE}{L}\\\Rightarrow T=\dfrac{0.25\times 10^{-2}\times \dfrac{\pi}{4}(0.2\times 10^{-2})^2\times 210\times 10^9}{1.6}\\\Rightarrow T=1030.84\ \text{N}](https://tex.z-dn.net/?f=%5CDelta%20L%3D%5Cdfrac%7BTL%7D%7BAE%7D%5C%5C%5CRightarrow%20T%3D%5Cdfrac%7B%5CDelta%20LAE%7D%7BL%7D%5C%5C%5CRightarrow%20T%3D%5Cdfrac%7B0.25%5Ctimes%2010%5E%7B-2%7D%5Ctimes%20%5Cdfrac%7B%5Cpi%7D%7B4%7D%280.2%5Ctimes%2010%5E%7B-2%7D%29%5E2%5Ctimes%20210%5Ctimes%2010%5E9%7D%7B1.6%7D%5C%5C%5CRightarrow%20T%3D1030.84%5C%20%5Ctext%7BN%7D)
La tensión en la cuerda es
.
Choice-C is a correct statement.