G*(Mass of the las x(Mass ofthe smaller object Force due to Gravity Distance bet
ID: 297211 • Letter: G
Question
G*(Mass of the las x(Mass ofthe smaller object Force due to Gravity Distance between objects) G is the gravitational constant. For today, just assume it is 1 and you can ignore it. You can do this because it is simply a number and doesn't affect the relationship between the other values. Let's examine the Force due to Gravity between the Earth (the larger object) and the Moon (the smaller object. How would the Force due to Gravity between the Earth and the Moon change if the Moon were suddenly 2 times its current mass? 1. a. Would the Force due to Gravity increase or decrease? b. By how many times? 2. How much Force due to Gravity is there between the Earth and the Moon? How much Force due to Gravity does the Earth exert on the Moon? Fill in the blanks on this equation with words in order to answer this question. a. Gx(Mass x(Mass Force due to Gravity(Distance How much Force due to Gravity does the Moon exert on the Earth? Fill in the blanks on this equation with words to answer this question. b. Gx(Mass of thec larger object (Mass of the smaller object Force due to Gravity Distance between objecs c. HeyExplanation / Answer
1. a) The Force due to gravity would increase.
b) By 2 times.
Explanation : Mass of Earth (M1) = 5.97 * 1024 kg.
Mass of moon (M2) = 7.35 * 1022 kg.
Gravitational constant (G) = 1 (Let).
Distance between earth and the moon (d) = 384,400km.
Forcedue to gravity(F) = (G * M1 * M2)/d2 = (1*5.97*7.35*1046)/(384,400)2 N.
Now, according to the question, the mass of the moon becomes 2 times its current mass. So, new mass of the moon (M2") = 7.35 * 1022 * 2 kg.
So, new Force?due to gravity (F") = (G*M1*M2")/d2
F"= (1*5.97*7.35*1046*2)/(384,400)2 N
F" = 2*(1*5.97*7.35*1046/384,4002) N
F" = 2*F newton.
2. a) Force due to Gravity exerted by earth on moon= G * (Mass?of Moon )* (Mass?of Earth)/(Distance between the Earth and the moon)2.
b) Force?due to Gravity on Earth due to Moon = G*(Massof Earth * Mass?of Moon)/Distance between the Earth and moon2.
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