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You weigh 640N. What would you weigh if the Earth were seven times as massive as it is and its radius were two times its present calue? Answer in units of N.

2006-10-10 12:06:23 · 2 answers · asked by glorydefined 1 in Education & Reference Homework Help

2 answers

Gravitational Force = G(m1 * m2)/r^2

When comparing small masses to extremely large ones, ignore the small mass:
g = G(mass of earth)/r^2

So, if you mulitply m1 by 7, and r by 2, then you're mulitplying g by 7/2^2 = 7/4.

Thus, you weigh 640 N * 7/4 = 1120N.

2006-10-11 03:50:32 · answer #1 · answered by ³√carthagebrujah 6 · 0 0

7 times as heavy i.e.640*7 Newtons=4480N if the earth were 7 times as massive
if the radius is twice it will alter the 'g' and accordingly the weight will change as weight=mass*acceleration due to gravity

2006-10-10 19:11:21 · answer #2 · answered by raj 7 · 0 0

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