Part (a) Write an equation for the work done by gravity as a 100-kg object falls from a height R, above the earth to a height R₂. Part (b) Calculate the work done by gravity in megajoules (MJ) as the 100-kg object falls from a height R₁ = 46000 km to a height R₂ = 8100 km. Part (c) Calculate the work done by gravity in megajoules (MJ) as the 100-kg object falls from a very large distance (infinity) to a height R₂ =

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Chapter5: Energy
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As a 100-kg object falls toward the Earth in space, the gravitational force is
directed toward the Earth and is modeled by the function F(x) = -k/r², where k is a constant equal
to 4.0x 1016 N-m².
8100 km
R₂
R₁
Part (a) Write an equation for the work done by gravity as a 100-kg object falls from a height Ry above the earth to a height R₂.
Part (b) Calculate the work done by gravity in megajoules (MJ) as the 100-kg object falls from a height R₁ = 46000 km to a height R₂ = 8100 km.
Part (c) Calculate the work done by gravity in megajoules (MJ) as the 100-kg object falls from a very large distance (infinity) to a height R₂ =
Transcribed Image Text:As a 100-kg object falls toward the Earth in space, the gravitational force is directed toward the Earth and is modeled by the function F(x) = -k/r², where k is a constant equal to 4.0x 1016 N-m². 8100 km R₂ R₁ Part (a) Write an equation for the work done by gravity as a 100-kg object falls from a height Ry above the earth to a height R₂. Part (b) Calculate the work done by gravity in megajoules (MJ) as the 100-kg object falls from a height R₁ = 46000 km to a height R₂ = 8100 km. Part (c) Calculate the work done by gravity in megajoules (MJ) as the 100-kg object falls from a very large distance (infinity) to a height R₂ =
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