Calculate the average density of earth in terms of G,R,M ? (Hint - volume of a sphere is = 4/3 π r³)
Question
Calculate the average density of earth in terms of G,R,M ? (Hint - volume of a sphere is = 4/3 π r³)
Solution
Sure, here is the step by step solution:
Step 1: The formula for the volume of a sphere is V = 4/3 π r³. We know that the radius of the Earth is R, so we can substitute R in place of r in the volume formula. So, V = 4/3 π R³.
Step 2: The formula for density is ρ = M/V, where M is the mass and V is the volume. We know the mass of the Earth is M and we have just calculated the volume, so we can substitute these values into the density formula.
Step 3: Substituting the values we get ρ = M / (4/3 π R³).
Step 4: Simplifying the equation we get ρ = 3M / (4π R³).
So, the average density of the Earth in terms of G, R, M is ρ = 3M / (4π R³).
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