(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.90 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.  (B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s2  (C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s2

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Asked Nov 6, 2019
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(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.90 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.

 
(B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)
m/s2
 
(C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)
m/s2

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Expert Answer

Step 1
fart (A)
Caiven
24
Man ol plane M-7-25x 10k
2.10 x 10
g
Mass of moon, m
2.90 x1o m
Aveage dtante betaoeen Planet and moon, d
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fart (A) Caiven 24 Man ol plane M-7-25x 10k 2.10 x 10 g Mass of moon, m 2.90 x1o m Aveage dtante betaoeen Planet and moon, d

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Step 2
fart (A)
from the Newton Loo of goavitation
magnitude of grovitational frce between Planet and moon.
F =
C.67x10 mk3s2 (7.25x18 k)(2.90x10 kg)
(2.90 X10 m)
-
-66 XI20
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fart (A) from the Newton Loo of goavitation magnitude of grovitational frce between Planet and moon. F = C.67x10 mk3s2 (7.25x18 k)(2.90x10 kg) (2.90 X10 m) - -66 XI20

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Step 3
Part lb)
Apply the Newtonx Second lau of motion on the moon
mam
ZFnet
GMm
mam
where, am the acceleraiom f moon and m the maM of moon
maM of moon
fearanging the obove eguation
(6-67x10 m/e3.5(7-25 X1
(2.9bx10 m)
24
XIO
GM
am
d2
5.१५४।0
am
MIs
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Part lb) Apply the Newtonx Second lau of motion on the moon mam ZFnet GMm mam where, am the acceleraiom f moon and m the maM of moon maM of moon fearanging the obove eguation (6-67x10 m/e3.5(7-25 X1 (2.9bx10 m) 24 XIO GM am d2 5.१५४।0 am MIs

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