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| At the surface of Jupiter's moon lo, the acceleration due to gravity is g = 1.83m/s?. A watermelon weighs 45.0N at the surface of the earth. (a) What is the watermelon's mass on the earth's surface? (b) What would be its mass and weight on the surface of lo?

| At the surface of Jupiter's moon lo, the acceleration due to gravity is g = 1.83m/s?. A watermelon weighs 45.0N at the surface of the earth. (a) What is the watermelon's mass on the earth's surface? (b) What would be its mass and weight on the surface of lo?

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**Text for Educational Website:** --- At the surface of Jupiter's moon Io, the acceleration due to gravity is \( g = 1.83 \, \text{m/s}^2 \). A watermelon weighs \( 45.0 \, \text{N} \) at the surface of the Earth. (a) What is the watermelon's mass on the Earth's surface? (b) What would be its mass and weight on the surface of Io? --- **Explanation:** In this problem, we are examining the effects of different gravitational forces on the mass and weight of a watermelon. The problem provides the gravitational acceleration on Io and the weight of the watermelon on Earth, inviting us to consider how these factors determine the watermelon’s mass and weight in different celestial environments. The crucial distinction here is between mass, which is constant, and weight, which changes with the gravitational field strength.
Transcribed Image Text:**Text for Educational Website:** --- At the surface of Jupiter's moon Io, the acceleration due to gravity is \( g = 1.83 \, \text{m/s}^2 \). A watermelon weighs \( 45.0 \, \text{N} \) at the surface of the Earth. (a) What is the watermelon's mass on the Earth's surface? (b) What would be its mass and weight on the surface of Io? --- **Explanation:** In this problem, we are examining the effects of different gravitational forces on the mass and weight of a watermelon. The problem provides the gravitational acceleration on Io and the weight of the watermelon on Earth, inviting us to consider how these factors determine the watermelon’s mass and weight in different celestial environments. The crucial distinction here is between mass, which is constant, and weight, which changes with the gravitational field strength.
Expert Solution
Step 1

(a) The mass of the watermelon on the Earth’s surface is as follows:

W=mgm=Wgm=45.0 N9.8 m/s2m=4.59 kg                                                    1

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