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
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