Asked by Anonymous
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
Answers
Answered by
oobleck
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
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
Answered by
Damon
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.