Question

9. An astronaut on the moon places a package on a scale and finds it weight to be 15 N. What would the package weigh on earth?

Answer 1

Answer:

90.74 N

Explanation:

The weight is equal to

W = mg

Where m is the mass and g is the gravity. On the moon, the weight is 15N and the gravity is 1.62 m/s². Then, we can calculate the mass of the package as

$\begin{gathered} m=\frac{W}{g} \\ \\ m=\frac{15\text{ N}}{1.62\text{ m/s}^2}=9.26\text{ kg} \end{gathered}$

Then, the gravity on Earth is 9.8 m/s², so the weight on Earth will be

$\begin{gathered} W=mg \\ W=(9.26\text{ kg\rparen\lparen9.8 m/s}^2)=90.74\text{ N} \end{gathered}$

Therefore, the weight on Earth will be 90.74 N