Answer:
The radius of the curve is 9,183.67 m.
Explanation:
Given;
velocity of the jet plane, v = 600 m/s
acceleration of the jet plane, a = 4g = 4 x 9.8 m/s² = 39.2 m/s²
The radius of the curve is calculated from centripetal acceleration formula as given below;

Therefore, the radius of the curve is 9,183.67 m.
Enclosed is some guidance algebra.I find this q a little confusing. It quotes "RC" which usually makes me think of electrical circuits and time constants based on converting calculating RC value and equating that to t for one time constant then 2RC for two time constants etc. The theory being that after 5 time constants - 5RC - a circuit is stable. BUT, this q then goes on to mention HALF LIFE. The curves for both half life and time constant are both exponential, as in the number e to the power of something, but the algebra is slightly different. I hope my algebra is ok.
Average force applied by the call on the glove = 780 N
Explanation:
mass of baseball=0.140 kg
initial velocity = Vi= 35 m/s
Final velocity=Vf= 0
distance traveled=11 cm= 0.11 m
using the kinematic equation Vf²= Vi²+ 2 a d
where a = acceleration
0²= 35²+ 2 a (0.11)
a=-5568.2 m/s²
Now force is given by F= ma
F= 0.140 (5568.2)
F=-780 N
The negative sign signifies that the force acts in the opposite direction.
so the average force= 780 N
Answer: 
Explanation:
We know the total diameter of the cell (assumed spherical) is:

Then its total radius 
On the other hand, we know the thickness of the cell wall is
and its density is the same as water (
).
Since density is the relation between the mass
and the volume
:

The mass is:
(1)
Now if we are talking about this cell as a thin spherical shell, its volume will be:
(2)
Where 
Then:
(3)
(4)
Substituting (4) in (1):
(5)
(6)
Knowing
and
: