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
