Answer:
The mass of the rock is approximately 9.97 kg
Explanation:
From the question, we have;
The acceleration due to gravity on the Moon = (1/6) × The acceleration due to gravity on the Earth
The gravitational force under which a rock falls on the Moon = 16.3 N
The acceleration due to gravity on Earth, g ≈ 9.81 m/s²
Therefore, the acceleration due to gravity on the Moon, a = (1/6) × 9.81 m/s² ≈ 1.635 m/s²
The relationship between the force with which the rock falls and the acceleration of the motion resulting in the force is given by the following relationship;
F = m × a
Where;
F = The force = 16.3 N
m = The mass of the object acted on by the force = The mass of the rock
a = The acceleration of the motion of the object = 1.635 m/s²
From F = m × a, we have;
m = F/a
∴ m = 16.3 N/(1.635 m/s²) = 9.96941896 kg
The mass of the rock, m ≈ 9.97 kg.
