please answer parts E, F, and G In Newton's late 17th century era, there were relatively accurate estimates, from terrestrial andastronomical observations and experiments, of the distance of the Earth to the Sun (dEs = 150 million1.%3Dkilometers) and the circumference of the Earth (CE= 40,000 kilometers [the meter was later definedduring the late 18th century French revolution in relation to the size of the Earth]). Newton furtherestimated, likely based on the density of rocks, that the Earth was a solid sphere with a density about6 times the density of water, which has density of pwater =1 g/cm3.A) Based on these estimates, what is the mass of the Earth Mp?B) From Newton's 2"d law, what is the magnitude of the force on a 1 kg mass falling freely near thesurface of the Earth?C) The force in B) is due to Earth's gravity, which from Newton's law of universal law ofgravitation is given by Fg= GmMgwhere the radius of the Earth Rg serves as the distanceRE2between the two masses. Use this formula, the result in B), the mass of the Earth from A), andthe estimates above to deduce a value for the universal constant G. Check that it reasonablyagrees with the modern "textbook" value.D) What is the period of the Earth's orbit around the sun (here assumed to be circular and uniform)?E) From D) what is the angular speed of the Earth in orbit?F) From E) and the estimates above, what is the linear speed v of Earth in its orbit?G) From F) and the estimates what is the acceleration of Earth in its orbit?H) From Newton's 2nd law and G) what is the force on the Earth in its orbit?I) If the force in H) is due to the gravitational pull of the sun, use the values you've calculated so farand Newton's universal law of gravitation to find the mass of the sun Ms.J) How far from the (center of the) sun is the center of mass of the Earth-Sun system? Note that thisis the point, and not the sun, that is in fact fixed in the com frame of this system. Is this distancelarger or smaller than the radius of the sun, RĘ ~ 700,000 km? [A nice mnemonic to helpdevelop your sense of scale at the planetary level is that Jupiter's radius is about 10 times biggerthan Earth's and the Sun's radius is about 10 times bigger than Jupiter's.]

Question

please answer parts E, F, and G In Newton's late 17th century era, there were relatively accurate estimates, from terrestrial andastronomical observations and experiments, of the distance of the Earth to the Sun (dEs = 150 million1.%3Dkilometers) and the circumference of the Earth (CE= 40,000 kilometers [the meter was later definedduring the late 18th century French revolution in relation to the size of the Earth]). Newton furtherestimated, likely based on the density of rocks, that the Earth was a solid sphere with a density about6 times the density of water, which has density of pwater =1 g/cm3.A) Based on these estimates, what is the mass of the Earth Mp?B) From Newton's 2&#34;d law, what is the magnitude of the force on a 1 kg mass falling freely near thesurface of the Earth?C) The force in B) is due to Earth's gravity, which from Newton's law of universal law ofgravitation is given by Fg= GmMgwhere the radius of the Earth Rg serves as the distanceRE2between the two masses. Use this formula, the result in B), the mass of the Earth from A), andthe estimates above to deduce a value for the universal constant G. Check that it reasonablyagrees with the modern &#34;textbook&#34; value.D) What is the period of the Earth's orbit around the sun (here assumed to be circular and uniform)?E) From D) what is the angular speed of the Earth in orbit?F) From E) and the estimates above, what is the linear speed v of Earth in its orbit?G) From F) and the estimates what is the acceleration of Earth in its orbit?H) From Newton's 2nd law and G) what is the force on the Earth in its orbit?I) If the force in H) is due to the gravitational pull of the sun, use the values you've calculated so farand Newton's universal law of gravitation to find the mass of the sun Ms.J) How far from the (center of the) sun is the center of mass of the Earth-Sun system? Note that thisis the point, and not the sun, that is in fact fixed in the com frame of this system. Is this distancelarger or smaller than the radius of the sun, RĘ ~ 700,000 km? [A nice mnemonic to helpdevelop your sense of scale at the planetary level is that Jupiter's radius is about 10 times biggerthan Earth's and the Sun's radius is about 10 times bigger than Jupiter's.]

Accepted Answer

(E) The angular speed of the earth in the orbit is :
Equating the centripetal force and…

E) From D) what is the angular speed of the Earth in orbit? F) From E) and the estimates above, what is the linear speed v of Earth in its orbit? G) From F) and the estimates what is the acceleration of Earth in its orbit?