Question #276860

Compute the mass of the earth, assuming it to be a sphere of radius 6.37 x 10^6 m.


1
Expert's answer
2021-12-12T16:40:11-0500

Let's first find the volume of Earth:


V=43πr3.V=\dfrac{4}{3}\pi r^3.

Finally, we can find the mass of Earth from the definition of the density:


ρ=mV,\rho=\dfrac{m}{V},m=ρV=43πρr3,m=\rho V=\dfrac{4}{3}\pi\rho r^3,m=43×π×5510 kgm3×(6.37×106 m)3=5.97×1024 kg.m=\dfrac{4}{3}\times\pi\times5510\ \dfrac{kg}{m^3}\times(6.37\times10^6\ m)^3=5.97\times10^{24}\ kg.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS