m = kr^3/a^2
using the given point,
59.4 = k * 14^3 / 821
Now you have k, so write the equation. Use that to get the missing value.
Or, get it directly, since
ma^2/r^3 is constant.
You want m such that
m*1018^2/8^3 = 59.4 * 821^2 / 14^3
The mass of a spherical ball varies as the cube of the radius and inversely as the surface area. When the radius is 14, area =821, the mass is 59.4. Find the equation connecting the relationship and mass when area=1018, radius=8
2 answers
m = k r*3/ r^2 = k r
59.4 = k * 14
k = 59. 4 / 14
m = (59.4/14) ^ 8 = 59.4 * 4/7
59.4 = k * 14
k = 59. 4 / 14
m = (59.4/14) ^ 8 = 59.4 * 4/7
1 answer