If Earth were half as far as it actually is from the Sun, the force of...
If Earth were half as far as it actually is from the Sun, the force of gravity attracting Earth to the Sun would be
(a) four times as strong.
(b) twice as strong.
(c) the same.
(d) half as strong.
(e) one-quarter as strong.
Homework Answers
Force of gravity acting between earth and sun is given as
F = G M m/r2 eq-1
where M = mass of sun
m = mass of earth
r = distance between Sun and earth
We see that , the mass of sun and earth remains same and the distance becomes half
So the new force can be given as
Fnew = G M m/(r/2)2
Fnew = 4 GMm/r2
Using eq-1
Fnew = 4 F
Hence the new force is 4 times as strong
(a) four times as strong.
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