Answer:
The unknown force will be 18.116 lb.
Explanation:
Given that,
Three forces act on a flange as shown in figure.
The net force acting on the flange is a minimum.

We need to calculate the unknown force
Using formula of net force

Put the value into the formula


The magnitude of net force,




On differentiating w.r.to F




Negative sign shows the direction of force which is downward.
Hence, The unknown force will be 18.116 lb.
Answer:
Geology Notes
1 Veryovkina Cave 2212[1] 13.5 km (8.4 mi)[1] Abkhazia / Georgia 43°23′52″N 40°21′37″E.
Answer:
A. 11.5 m
Explanation:
Given,
The initial velocity of the soda cap, u = 15 m/s
The soda bottle cap is projected vertically upwards,
Hence, the angle formed with the ground, Ф = 90°
The maximum height of the projectile is given by the formula,

Substituting the given values in the above equation

= 11.5 m
Hence, the maximum height of the cap is h = 11.5 m
The negative sign on the acceleration is only a vector quantity that means the object is accelerating to the left. Hence, we can only focus on it magnitude which is 4 m/s^2. Acceleration is the change in velocity over time. The change in velocity must be 24 m/s - 0 m/s, if you want the object to stop. Therefore,
a = (v2 - v1)/t
4 = (24 - 0)t
t = 6 seconds
The object will stop after 6 seconds.
Here we can say that rate of flow must be constant
so here we will have

now we know that


now from above equation



so velocity will reduce by factor 0.14