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The rover explorer has a mass of 185 kg. How much does this weigh on:

1. The Moon, where [tex]g = \frac{g_{std}}{6}[/tex]?
2. Mars, where [tex]g = 3.75 \, \text{m/s}^2[/tex]?

Answer :

Final answer:

On the moon, the rover explorer would weigh approximately 301.55 N, and on Mars, it would weigh approximately 693.75 N.

Explanation:

To determine the weight of the rover explorer on the moon, we need to use the equation W = mg, where W is the weight, m is the mass, and g is the acceleration due to gravity. On the moon, the acceleration due to gravity is given as g = gstd/6, where gstd is the standard acceleration due to gravity on Earth. The standard acceleration due to gravity is approximately 9.8 m/s², so gstd/6 is approximately 9.8/6 ≈ 1.63 m/s².

Therefore, the weight of the rover explorer on the moon would be W = m * g = 185 kg * 1.63 m/s² ≈ 301.55 N.

On Mars, the acceleration due to gravity is given as g = 3.75 m/s². Using the same equation, the weight of the rover explorer on Mars would be W = m * g = 185 kg * 3.75 m/s² = 693.75 N.

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