Question

An astronaut has 80 kg mass on earth :

What will be his mass and weight on mars? [Take g of mars = $3.7m{s}^{-2}$]

Answer 1

Step 1: Given data

Mass of astronauts, $\mathit{m}\mathbf{=}\mathbf{80}\mathbf{}\mathit{k}\mathit{g}$

Mass remains constant throughout the universe.

Acceleration due to gravity on mass,${\mathit{g}}_{\mathbf{m}}\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{7}\mathit{m}\mathbf{/}{\mathit{s}}^{\mathbf{2}}$

Step 2: Finding the Weight of astronaut on Mars:

$$\begin{gathered} {\mathit{W}}_{\mathbf{a}\mathbf{m}}\mathbf{=}\mathit{m}{\mathit{g}}_{\mathbf{m}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{80}\mathbf{\times }\mathbf{3}\mathbf{.}\mathbf{7} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{296}\mathbf{}\mathit{N} \end{gathered}$$

Thus, the weight of the astronaut on Mars is $\mathbf{296}\mathbf{}\mathit{N}$.