The question reads, "Find the dimensions of a cylindrical tennis ball container which has the volume of V(x)=8πx3+17πx2+10πx+π such that the volume is exactly 825π cm3. Hint: V = πr2h."
To start off, I set V(x)=825π and moved it to the right side, giving
0 = 8πx3+17πx2+10πx-824π.
Factoring...
I will try to do what you said
∑F = Fg + Ft = ma
And Fg = mg
so (mg) + Ft = ma
m (-1.6 m/s^2) - 85 N = m (2 m/s^2)
-1.6 m - 85 = 2 m
m = 23.611111111 kg -> 24 kg
how does that look?
Oh sorry. In the downward direction there is Fg and Ft.
By what logic do you add these accelerations? Is it accelerating at rate a faster than gravity?
Hm, I guess I added them because they were in two different directions (the lifting of the string was upward and the gravity as downward, but...
If a string can handle a max tension of 85 N what is the largest mass that could be lifted with this string if it is lifted with an acceleration of 2.0 m/s^2 up on the moon?
Let up be positive in value.
Ft = - 85 N, a = 2.0 m/s^2, Fg = -1.6 m/s^2
Homework Equations
F = ma -> Fg = mg -> Ft =...