At the surface of Jupiter's moon Io, the acceleration due to gravity is 1.81m/s2. A watermelon has a weight of 58.0N at the surface of the earth. In this problem, use 9.81m/s2 for the acceleration due to gravity on earth. Part AWhat is its mass on the earth's surface? Part BWhat is its mass on the surface of Io? Part CWhat is its weight on the surface of Io?

Question

Physics

Yaretzi Sheppard

28 October, 10:15

At the surface of Jupiter's moon Io, the acceleration due to gravity is 1.81m/s2. A watermelon has a weight of 58.0N at the surface of the earth. In this problem, use 9.81m/s2 for the acceleration due to gravity on earth. Part AWhat is its mass on the earth's surface? Part BWhat is its mass on the surface of Io? Part CWhat is its weight on the surface of Io?

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First Mate · Answer 1

Answer: A) mass on earth surface = 5.91kg

B) mass on surface of jupiter = 5.91kg

C) weight on surface of jupiter = 10.697N

Explanation:

The relationship between weight (W), mass (m) and acceleration due gravity (g) is given below

W=mg

From the question, g = 9.8m/s² and weight on the surface on the earth is 58N

A) The mass of watermelon on earth is

m = 58 / 9.8 = 5.91kg

B) the mass of the watermelon on jupiter is 5.91kg.

You will notice this is the same as the mass of watermelon on earth and that is so because mass is a scalar quantity that does not depends on the distance away from the center of the earth (unlike weight which is a vector) thus making it constant all through any location.

C) mass of watermelon is 5.91kg, g=9.8m/s² weight of watermelon on jupiter is given below as

W = mg

W = 5.91 x 9.8

= 10.697N.