Question

The mass of the moon is $7.34\times {10}^{22}kg$ and the radius is $1.74\times {10}^{6}m$. The value of gravitation acceleration on the moon will be

• A. $1.45N/kg$
• B. $1.55N/kg$
• C. $1.75N/kg$
• D. $1.62N/kg$

Answer 1

The correct option is D

$1.62N/kg$

Solution:

Step 1: Given data:

The mass of the moon is $M=7.34\times {10}^{22}kg$

The radius of the moon is $R=1.74\times {10}^{6}m$

Step 2: Formula used:

The value of gravitational acceleration $g=\frac{GM}{R^2}$.Here$G$ is the gravitational force ,$M$is the mass of moon and $R$is the radius.

Step 3: Calculate the gravitational force:

Know that $G=6.67\times {10}^{-11}$

The value of gravitational force

$$\begin{gathered} g=\frac{6.67\times {10}^{-11}\times 7.34\times {10}^{22}}{{\left(1.74\times {10}^6\right)}^2} \\ g=1.62m/s^2 \end{gathered}$$

Therefore the value of gravitational acceleration is $g=1.62m/s^2$.

Hence, the correct option is D.