Physics: What is the centripetal acceleration of the moon around the earth, realizing that the gravitational force is the centripetal force?

B. sent through the atmosphere ...

What is the centripetal acceleration of the moon

zlyzoh

01.01.2022

$a = 2.7\times 10^{-3} m/s^2$

Explanation:

As we know that moon is revolving around the Earth in circular path

Here the centripetal force on the moon is due to Earth and always towards the position of the Earth

This force is given as

$F = \frac{GM_eM_m}{r^2}$

here we know that

M_e = mass of Earth

M_m = mass of moon

= distance between the center of moon and Earth

so we know by Newton's II law that

F = ma

$a = \frac{F}{M_m}$

$a = \frac{GM_e}{r^2}$

$M_e = 5.98 \times 10^{24} kg$

r = 384400 km

now we have

$a = \frac{6.67 \times 10^{-11} 5.98 \times 10^24}{(384400\times 10^3)^2}$

$a = 2.7\times 10^{-3} m/s^2$

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