Question

An astronaut on the moon places a package on a scale and finds it weight to be 15 N. 10. What is the package's mass on the moon?

Answer 1

the mass of the package on the moon is 9.25 kilograms

Step-by-step explanation

The weight of an object is the force on it due to gravity,caused by the presence of a massive second object, such as the Earth or Moon, it depends on the mass of the object and the acceleration due to gravity

`\begin{gathered} weight=\text{ mass*gravity} \\ \end{gathered}`

hence, if the astronaut places the package on a scale on the moon, he is measuring the

Step 1

a)

let

`\begin{gathered} weigth=15\text{ N} \\ mass=mass\text{ on earth= mass on moon} \\ gravity\text{ on moon=1.6}(m)/(s^2) \end{gathered}`

replace and solve for mass

`\begin{gathered} we\imaginaryI ght=\text{massgrav}\imaginaryI\text{ty} \\ 15\text{ N=m*1.62}(m)/(s^2) \\ divide\text{ both sides by 1.62}(m)/(s^2) \\ \\ (15N)/(1.62(m)/(s^2))\text{=}(m*1.62(m)/(s^2))/(1.62(m)/(s^2)) \\ 9.25\text{ kg=m} \\ \end{gathered}`

hence,

the mass of the package on the moon is 9.25 kilograms

I hope this helps you