Phobos has a mass of 1.07 x 1016 kg, and Mars has a mass of 6.42 x1023 kg. The gravitational force between them is 5.2 x 1015 N. Calculate the distance between Mars and Phobos. Answer: 9.4x106 m
How do I get that answer?
How do I get that answer?
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the law of universal gravitation states that F = G*(m1*m2/r^2)
rearrange to get r^2 = (G*(m1*m2/F))
put in the numbers
r^2 = 6.673e-11 x (1.07e16 x 6.42e23)/5.2e15
r^2 = 8.815e13
square root of this gives r
r = 9.39e6 m
rearrange to get r^2 = (G*(m1*m2/F))
put in the numbers
r^2 = 6.673e-11 x (1.07e16 x 6.42e23)/5.2e15
r^2 = 8.815e13
square root of this gives r
r = 9.39e6 m
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F:gravity force
G: unversal gravitational constant= 6.674*10^(-11)
m1: first object's mass
m2: second objects mass
d: distance between the objects mass centers.
F = (m1*m2) / (d^2) so d = sqroot ( (m1*m2) / F)
Be careful with your values.
G: unversal gravitational constant= 6.674*10^(-11)
m1: first object's mass
m2: second objects mass
d: distance between the objects mass centers.
F = (m1*m2) / (d^2) so d = sqroot ( (m1*m2) / F)
Be careful with your values.