Advertisements
Advertisements
Question
Calculate the average density of the earth in terms of g, G and R
Advertisements
Solution
Let the earth be a sphere of radius R.
Now Density, ρ = `"Mass"/"Volume" = "M"/"V"`
From Newton's law of gravitation
g = "G""M"/"R"^2` or M= ("gR"^2)/"G"`
Volume of earth, V = `4/3π"R"^3`
∴ ρ = `"gR"^2/"G" xx 3/(4π"R"^3)`
= `(3"g")/(4π"RG")`
APPEARS IN
RELATED QUESTIONS
The density of gold is 19 g/cm3. Find the volume of 95 g of gold.
If the relative density of a substance is 7.1, what will be its density in SI units ?
Calculate the density of an object of volume 3 m3 and mass 9 kg. State whether this object will float or sink in water. Give reason for your answer.
Write down an equation that defines density.
5 kg of material A occupy 20 cm3 whereas 20 kg of materia! B occupy 90 cm3. Which has the greater density : A or B ? Support your answer with calculations.
Define density. What is the SI unit of density ?
The density of turpentine is 840 kg/m3. What will be its relative density ? (Density of water = 1000 kg/m3)
The density of water is 1000 kg/m3 and the density of copper is 8900 kg/m3. Which of the following statements is incorrect?
Numerical Problem.
Density of mercury is 13600 kg m–3. Calculate the relative density.
To find out the relative density of the substance, with respect to the density of water ______C is taken.
