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The force of gravity on the Moon is 1.6 m/s2 and on Mars it is 3.7 m/s2. How does the weight of an
astronaut on the Moon compare to that of an astronaut on Earth or Mars? (1 point)
The astronaut weighs the most on Mars and the least on the Earth.
The astronaut weighs the most on Earth and the least on Mars.
The astronaut weighs the most on the Moon and the least on Mars.
The astronaut weighs the most on Earth and the least on the Moon.

Sagot :

Lanuelidn

The weight of an  astronaut on the Moon compare to that of an astronaut on Earth or Mars as: D. The astronaut weighs the most on Earth and the least on the Moon.

Given the following data:

  • Acceleration due to gravity on the Moon = 1.6 [tex]m/s^2[/tex]
  • Acceleration due to gravity on the Mars = 3.7 [tex]m/s^2[/tex]

We know that acceleration due to gravity (a) for an object on Earth is equal to 9.8 meter per seconds square.

Mathematically, the weight of an object is calculated by using the following formula;

[tex]Weight = mg[/tex]

Where:

  • m is the mass of an object.
  • g is the acceleration due to gravity.

In order to determine the weight of an astronaut on the Moon, we would assume a value for his mass as 100 kilograms.

[tex]Weight \; on\; Moon = 100[/tex] × [tex]1.6[/tex]

Weight on Moon = 160 Newton

For Mars:

[tex]Weight \; on\; Mars = 100[/tex] × [tex]3.7[/tex]

Weight on Mars = 370 Newton

For Earth:

[tex]Weight \; on\; Earth = 100[/tex] × [tex]9.8[/tex]

Weight on Earth = 980 Newton

Therefore, we can deduce from the above calculations that, the astronaut weighs the most on Earth and the least on the Moon.