Question

What is the gravitational attraction between you and the Earth if you are at 7.5 x 10^6 m from the center of the Earth and your mass is 90 kg?

Answer 1

@Data_LG2

Answer 2

lets use newtons gravitational attraction formula
$$ \Large F = \frac{GmM}{r^2}$$

Answer 3

what is earths mass, and what is G ?

Answer 4

whoops i forgot to add this but the mass of the earis is 5.98x10^24 kg

Answer 5

ok thanks, and is G given, the universal gravity constant?

Answer 6

nope but i feel like it would be 9.8 m/s

Answer 7

nope, thats the acceleration of gravity near the surface of the earth

Answer 8

we can look up 'universal gravitational constant'

Answer 9

6.67x10^-11 m^3

Answer 10

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Answer 11

whats next?

Answer 12

$$
\Large F = \frac{GmM}{r^2}
\\\Large F = \frac{6.67384 \times 10^{-11} \cdot 90 }{(7.5 \times 10^6)^2}
$$

Answer 13

then do i just simplify

Answer 14

yes, i would use a calculator at this point

Answer 15

okay! thanks so much for the help!!