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A bag of produce weighs 5.72 lb on Earth. What should it weigh on the moon, where the free-fall acceleration is 1/6 that on Earth? Answer in units of N.

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Final answer:

To find the weight of a 5.72 lb bag of produce on the moon, the weight in pounds is first converted to mass in kilograms, and then the gravitational force is calculated using the moon's gravity, yielding approximately 4.217 N.

Step-by-step explanation:

To determine the weight of the produce on the moon, we need to calculate the force due to moon's gravity acting on the mass of the produce. On Earth, the gravitational acceleration (g) is approximately 9.80 m/s2. The weight of an object on Earth can be calculated using the formula F = m * g, where F is the force (or weight) in newtons (N), m is the mass in kilograms (kg), and g is the acceleration due to gravity. Since the bag weighs 5.72 lb (pounds) on Earth, we first need to convert this weight into kilograms. There are approximately 0.453592 kilograms in a pound, so the bag's mass is 5.72 lb * 0.453592 kg/lb = 2.595 kg on Earth.

Given the gravitational acceleration on the moon is 1/6 of that on Earth, it is approximately 1.625 m/s2. We'll now use the moon's gravitational acceleration to find the bag's weight on the moon: Fmoon = m * gmoon = 2.595 kg * 1.625 m/s2 = approximately 4.217 N. Hence, the weight of the produce on the moon would be around 4.217 newtons.

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