Which of the following shows the relationship between the acceleration due to gravity, \(g\) on the surface of the Earth and the universal gravitational constant, \(G\)?

(A)  \(g = \dfrac {GM}{R^2}\)

(B)  \(g = \dfrac {GM}{R}\)

(C)  \(g = \dfrac {M}{R^2}\)

(D)  \(g = \dfrac {M}{R}\)

An object of mass \(2.00 \space \text {kg}\) weighs \(20.6 \space \text N\) on Earth. 

If the acceleration due to gravity on Neptune is \(11.15 \space \text m \text s^{-2}\), what is the mass of the object on Neptune?

(A)  \(2.64 \space \text {kg}\)

(B)  \(2.00 \space \text {kg}\)

(C)  \(5.42 \space \text {kg}\)

(D)  \(7.64 \space \text {kg}\)

The weight of a \(60 \space \text {kg}\) student is \(1 \space 560 \space \text N\) on the surface of planet \(\text Z\).

What is the magnitude of the acceleration due to gravity on the surface of planet \(\text Z\)?

(A)  \(3.72 \space \text m \text s^{-2}\)

(B)  \(8.87 \space \text m \text s^{-2}\)

(C)  \(11.18 \space \text m \text s^{-2}\)

(D)  \(26.00 \space \text m \text s^{-2}\)

The weight of a \(54 \space \text {kg}\) object is \(603.72 \space \text N\) on the surface of planet \(\text T\).

What is the ratio of the acceleration due to gravity on the surface of planet \(\text T\) to the acceleration due to gravity on the Earth?

The radius of Venus is \(6.05 \times 10^{6} \space \text m\).

What is the mass of Venus if its acceleration due to gravity is \(8.87 \space \text m \text s^{-2}\)?

(A)  \(3.29 \times 10^{23} \space \text {kg}\)

(B)  \(4.87 \times 10^{24} \space \text {kg}\)

(C)  \(5.97 \times 10^{24} \space \text {kg}\)

(D)  \(5.68 \times 10^{26} \space \text {kg}\)