Based on the calculations, the speed required for this satellite to stay in orbit is equal to 1.8 × 10³ m/s.
<u>Given the following data:</u>
- Gravitational constant = 6.67 × 10⁻¹¹ m/kg²
- Mass of Moon = 7.36 × 10²² kg
- Distance, r = 4.2 × 10⁶ m.
<h3>How to determine the speed of this satellite?</h3>
In order to determine the speed of this satellite to stay in orbit, the centripetal force acting on it must be sufficient to change its direction.
This ultimately implies that, the centripetal force must be equal to the gravitational force as shown below:
Fc = Fg
mv²/r = GmM/r²
<u>Where:</u>
- m is the mass of the satellite.
Making v the subject of formula, we have;
v = √(GM/r)
Substituting the given parameters into the formula, we have;
v = √(6.67 × 10⁻¹¹ × 7.36 × 10²²/4.2 × 10⁶)
v = √(1,168,838.095)
v = 1,081.13 m/s.
Speed, v = 1.8 × 10³ m/s.
Read more on speed here: brainly.com/question/20162935
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Answer:
C
Explanation:
I got it right on the test !!
Answer:
never lol
studying is your work
but why all are doing I don't know=_=
Answer:![v=\sqrt{\frac{FL}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7BFL%7D%7Bm%7D%7D)
Explanation:
Given
Ball of mass m
maximum Bearable Tension in string is F
Let length of the cord be L m and moving at a speed of v m/s
Here Tension will Provide Centripetal Force
T=Centripetal Force
![F=T=\frac{mv^2}{L}](https://tex.z-dn.net/?f=F%3DT%3D%5Cfrac%7Bmv%5E2%7D%7BL%7D)
![v=\sqrt{\frac{FL}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7BFL%7D%7Bm%7D%7D)