If the radius of the Earth's orbit around the Sun is 150 million km, what is the speed of the Earth?

1 Answer
Mar 20, 2018

Answer:

The gravitation force grant the centripetal force.

Explanation:

#F_g = F_c#
#F_g=(G M_(sun) M_(earth))/(R^2)# Newton gravitation law
where #G=6.67*10^(-11) m^3/(kg*s)#, #R=1.5 *10^11 m, M_(sun)=2*10^30#
#(G M_(sun) M_(earth))/(R^2)=M_(earth)v^2/R#
#v^2=G M_(sun)/R#
#v=29.8 (km)/s#
#v_(mean)=29,783 (km)/s# sorce: https://en.wikipedia.org/wiki/Earth