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1 vote
If the radius of Earth were one half what it is now, and the mass were the same, what would be the value of g?

2 Answers

1 vote

Answer:

4g

Step-by-step explanation:

the equation of g (field gravity)

g = G M/R²

because G (Contant of Gravitasion) and M (Mass of earth) same, them

g2/g1 = R1²/R2²

g1 = g now

g2 = g which the value we looking for

g2/g = 1/(1/2)²

g2/g = 1/(1/4)

g2/g = 4

g2 = 4g

User Quixrick
by
4.6k points
3 votes

Answer:

4 times what it is now.

Step-by-step explanation:

g=G(M/r^2)

G is constant, so ignore.

We have (1M/0.5r^2), or 4.

User Grishma U
by
4.0k points