Final answer:
The force holding a 10.0-kg rock on Earth is 98 N, whereas on the Moon, it is 16.2 N.
Step-by-step explanation:
The force holding a 10.0-kg rock on Earth can be calculated using the equation:
F = m * g
where F is the force, m is the mass, and g is the acceleration due to gravity on Earth (approximately 9.8 m/s²). So, the force holding the rock on Earth would be:
F (Earth) = 10.0 kg * 9.8 m/s² = 98 N
On the other hand, the force holding the same rock on the Moon would be:
F (Moon) = 10.0 kg * 1.62 m/s² = 16.2 N
Therefore, the force holding the rock on the Moon is about 16.2 N, which is significantly less than the force holding it on Earth.