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given that Earth's surface gravitational field strength has a magnitude of 9.8N/kg, determine the distance above Earth's surface at which the magnitude of the field strength is 3.2N/kg
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\[F=Gm _{1}m _{2}/r ^{2}\] use this to see that the force changes invers proportionaly to square of distance
m1 is mass of earth? G is gravitational constant? what is m2?
m2 would be one kg, but you don't need that. 9,8/r2 = 3.2
the answer is 0.75.
sqroot(9.8/3.2)=1.75
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i would say 1,75 earth radius
M= earth mass m= 1 kg G = universal constant r = distance \[9,8 = GMm/r _{1}^{2}\] \[3.2 = GMm/r _{2}^{2}\] deviding bouth: \[9,8/3,2 = r _{2}^{2}/ r _{1}^{1}\rightarrow 1,75 r _{1} =r _{2}\]
ok thanks
i got it
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