Final answer:
To determine the weight of a child on the moon, we can use the ratios of acceleration due to gravity on Earth and the moon.
Step-by-step explanation:
The weight of an object depends on the acceleration due to gravity, which varies between different celestial bodies. On Earth, the acceleration due to gravity is 9.8 m/s², while on the Moon it is only 1.625 m/s². To determine how much a child who weighs 30 1/2 kilograms on Earth would weigh on the moon, we can use the ratios of the acceleration due to gravity:
Weight on the Moon = (Weight on Earth / Acceleration due to gravity on Earth) x Acceleration due to gravity on the Moon
Weight on the Moon = (30.5 kg / 9.8 m/s²) x 1.625 m/s²