Complete the following table by solving for the unknown variable labeled with either X, Y or Z.  The data table shows the gravitational force on various objects located on either the Moon, the Earth or Mars.  You will be calculating either the gravitational force, the mass or gravity acting on the objects.  Round your answers to the nearest tenth.

 

 

Gravitational Force

Mass of Object

Gravity

Moon

X

7.85 kg

1.62 m/s²

Earth

262 N

26.62 kg

Y

Mars

1053 N

Z

3.71 m/s²

1 answer

To solve for X, we use the formula for gravitational force:

Gravitational force = mass * gravity

For the Moon:
X * 1.62 m/s² = 7.85 kg
X = 7.85 kg / 1.62 m/s²
X ≈ 4.8 N

To solve for Y, we use the same formula:

262 N = 26.62 kg * Y
Y = 262 N / 26.62 kg
Y ≈ 9.8 m/s²

To solve for Z, we use the same formula:

1053 N = Z * 3.71 m/s²
Z = 1053 N / 3.71 m/s²
Z ≈ 283.7 kg
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