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30 June, 06:58

soccer is also called association football" A soccer ball is a sphere, with circumference of 70 centimeters. in developing a new material to use for a soccer ball when NASA attempts to colonize mars, you test a materials with a specific gravity of 1.21. Assume the ball will be a solid sphere made from this material. What is the weight in units of newtons [N] of the ball on Mars? Recall gravity on Mars is 3.7 meters per second squared [m/s] Recall the circumference of a circle is equal to the diameter times pi: C = πD.

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  1. 30 June, 07:40
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    Answer: Weight on Mars = 0.02593N

    Explanation:

    Given; Circumference C of Sphere = 70cm = 0.7m,

    Specific Gravity S. G. of material = 1.21,

    acceleration due to gravity in the Mars gm = 3.7m/s^2

    We know that Weight W = mass m * acceleration due to gravity.

    Let the Weight in on the Mars be Wm.

    Wm = m * gm

    Since we are given gm, we need to calculate for m. (Note that mass m is the same everywhere)

    But mass = specific gravity * volume

    Since we know the specific gravity, let's go ahead to calculate for the volume of the ball.

    We know that Volume of a Sphere V = (4/3) πr^3

    To get r, we know that C = 2πr

    Therefore, r = C / (2π) = 0.7 / (2π) = (7/10) / 2π = 7/20π (in meters)

    V = (4/3) * π * (7/20π) ^3 = 343/6000π^2 (in meter^3)

    m = 343/6000π^2 * 1.21 = 7.01*10^ (-3) kg

    Wm = 7.01*10^ (-3) * 3.7 = 0.02593N
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