Calculate the gravitational acceleration at the surfaces of the transiting super

Question

Calculate the gravitational acceleration at the surfaces of the transiting super-Earth CoRoT 7b. CoRoT 7b is 4.8 times more massive than the Earth. its radius is 1.7 times that of Earth.

Express your answer to two significant figures and include the appropriate units.

Calculate the gravitational acceleration at the surfaces of the transiting super-Earth GJ 1214B. GJ 1214B is 6.6 times more massive than the Earth. its radius is 2.7 times that of Earth.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

gravitational acceleration = GM/R2

R = 1.7Re

M = 4.8Me

a= 4.8*GMe /1.7^2 * Re^2

= 4.8/1.7^2 *9.81

=16.29 m/s2

super-Earth GJ 1214B

R= 2.7Re

M = 6.6Me

a = G *6.6 Me /(2.7Re)^2

=9.81 * 6.6/(2.7^2) =8.88 m/s2

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.