We have that for the Question "suppose it is known that the earth attracts an object with a force that decreases as the rate of 2 N/km when r=30,000 km. how fast does this force change wheb r=15,000 km?" it can be said that ,how fast does this force change wheb in r=15,000 km is
[tex]\frac{dF}{dr}=-16N/km[/tex]
From the question we are told
suppose it is known that the earth attracts an object with a force that decreases as the rate of 2 N/km when r=30,000 km. how fast does this force change wheb r=15,000 km?
Generally the equation for the Gravitational force is mathematically given as
[tex]F=\frac{GMm}{r^2}\\\\Where\\\\\frac{dF}{dr}=2\\\\r=30000\\\\Therefore\\\\\frac{dF}{dr}=\frac{-2(-300)^3}{15000^3}\\\\[/tex]
[tex]\frac{dF}{dr}=-16N/km[/tex]
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