You weigh 650 N. What would you weigh if the Earth were three times as massive as it is and its radius were fo

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You weigh 650 N. What would you weigh if the Earth were three times as massive as it is and its radius were fo

[From: ] [author: ] [Date: 12-01-27] [Hit: ]

......

You weigh 650 N.
What would you weigh if the Earth were
three times as massive as it is and its radius
were four times its present value?
Answer in units of N

-Shay.

-

3x more massive ups the weight by a factor of 3
4x distance lowers the weight by a factor of 1/4² = 1/16
combined, that is 3/16

(3/16)(650) = 122 N

-

gravity is proportional to M / R^2
so g2/g1 = m2/m1 * (r1/r2)^2
= 3 * (1/4) ^2
= 3/16

so all weights would be 3/16 of the value here on earth.
Hence you would weigh 3/16 of 650 N

1

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