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Suppose an astronaut has landed on Mars. Fully equipped, the astronaut has a mass of 135 kg, and when the astronaut gets on a scale, the reading is 500 N. What is the acceleration (in m/s²) due to gravity on Mars?

Answer :

ANSWER:

3.7 m/s²

STEP-BY-STEP EXPLANATION:

Given:

Mass (m) = 135 kg

Force (F) = 500 N

We can determine the value of acceleration as follows:

[tex]\begin{gathered} F=m\cdot a \\ \\ \text{ We solve for a:} \\ \\ a=\frac{F}{m} \\ \\ \text{ We replacing:} \\ \\ a=\frac{500}{135} \\ \\ a=3.7\text{ m/s}^2 \end{gathered}[/tex]

The value of the acceleration due to gravity on Mars is 3.7 m/s²

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Rewritten by : Barada

The acceleration due to gravity on Mars is calculated by dividing the astronaut's weight (500 N) by their mass (135 kg), giving approximately [tex]3.70\ m/s^2[/tex].

To determine the acceleration due to gravity on Mars from the given data of the astronaut, we can use the formula [tex]Weight\ (W) = Mass\ (m) \times gravity\ (g)[/tex]. Knowing the astronaut's weight is 500 N and mass is 135 kg, we can rearrange the formula to solve for g:

[tex]g = \frac{W}{m}[/tex]

Substituting the given values:

[tex]g = \frac{500\ N}{135\ kg}[/tex]

This calculation gives you:

[tex]g = 3.70\ m/s^2[/tex]

Therefore, the acceleration due to gravity on Mars for the astronaut is approximately [tex]3.70 m/s^2.[/tex]