Question

The gravitational force on the surface of the moon is only $\frac{1}{6}$ as strong as the gravitational force on the earth. What is the weight in Newtons of a $10kg$ object on the moon and on the earth?

Answer 1

Step1: Given data

$Thegravitationalforceonthesurfaceofthemoon=\frac{1}{6}\times gravitationalforceontheearth$

Mass of the object $m=10kg$

Step2: Formula for calculating weight on earth

$$\begin{gathered} W=m\times g \\ W\to Weight \\ m\to Mass \\ g\to accelerationduetogravityonearth=9.8m/s^2 \end{gathered}$$

Step2: Calculating weight on earth

$$\begin{gathered} W=m\times g \\ \Rightarrow W=10kg\times 9.8m/s^2 \\ \Rightarrow W=98N \end{gathered}$$

Thus, the weight of the object on earth is $98N$.

Step2: Calculating weight on the moon

$Thegravitationalforceonthesurfaceofthemoon=\frac{1}{6}\times gravitationalforceontheearth$

$weight=\frac{1}{6}\times 98=16.33N$

Thus, the weight of the object on the moon is $16.33N$.