Final answer:
The acceleration of the apple on the moon, calculated using Newton's second law of motion (F = ma), is 1.6 m/s², which matches the known gravitational acceleration on the moon.
Step-by-step explanation:
The acceleration of the apple on the moon can be calculated by using Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by the acceleration of the object (F = ma). Given that the weight of the apple on the moon is 0.64kg·m/s² (which is the force), and the mass of the apple is 0.4kg (400g), we can rearrange the equation to solve for the acceleration (a = F/m).
By dividing the weight by the mass (0.64kg·m/s² / 0.4kg), we find the acceleration to be 1.6 m/s², which corresponds to the known acceleration due to gravity on the moon.