Answer:
a) ![P=2450\ Pa](https://tex.z-dn.net/?f=P%3D2450%5C%20Pa)
b) ![\delta h=23.162\ cm](https://tex.z-dn.net/?f=%5Cdelta%20h%3D23.162%5C%20cm)
Explanation:
Given:
height of water in one arm of the u-tube, ![h_w=25\ cm=0.25\ m](https://tex.z-dn.net/?f=h_w%3D25%5C%20cm%3D0.25%5C%20m)
a)
Gauge pressure at the water-mercury interface,:
![P=\rho_w.g.h_w](https://tex.z-dn.net/?f=P%3D%5Crho_w.g.h_w)
we've the density of the water ![=1000\ kg.m^{-3}](https://tex.z-dn.net/?f=%3D1000%5C%20kg.m%5E%7B-3%7D)
![P=1000\times 9.8\times 0.25](https://tex.z-dn.net/?f=P%3D1000%5Ctimes%209.8%5Ctimes%200.25)
![P=2450\ Pa](https://tex.z-dn.net/?f=P%3D2450%5C%20Pa)
b)
Now the same pressure is balanced by the mercury column in the other arm of the tube:
![\rho_w.g.h_w=\rho_m.g.h_m](https://tex.z-dn.net/?f=%5Crho_w.g.h_w%3D%5Crho_m.g.h_m)
![1000\times 9.8\times 0.25=13600\times 9.8\times h_m](https://tex.z-dn.net/?f=1000%5Ctimes%209.8%5Ctimes%200.25%3D13600%5Ctimes%209.8%5Ctimes%20h_m)
![h_m=0.01838\ m=1.838\ cm](https://tex.z-dn.net/?f=h_m%3D0.01838%5C%20m%3D1.838%5C%20cm)
<u>Now the difference in the column is :</u>
![\delta h=h_w-h_m](https://tex.z-dn.net/?f=%5Cdelta%20h%3Dh_w-h_m)
![\delta h=25-1.838](https://tex.z-dn.net/?f=%5Cdelta%20h%3D25-1.838)
![\delta h=23.162\ cm](https://tex.z-dn.net/?f=%5Cdelta%20h%3D23.162%5C%20cm)
Answer:
b) True. the force of air drag on him is equal to his weight.
Explanation:
Let us propose the solution of the problem in order to analyze the given statements.
The problem must be solved with Newton's second law.
When he jumps off the plane
fr - w = ma
Where the friction force has some form of type.
fr = G v + H v²
Let's replace
(G v + H v²) - mg = m dv / dt
We can see that the friction force increases as the speed increases
At the equilibrium point
fr - w = 0
fr = mg
(G v + H v2) = mg
For low speeds the quadratic depended is not important, so we can reduce the equation to
G v = mg
v = mg / G
This is the terminal speed.
Now let's analyze the claims
a) False is g between the friction force constant
b) True.
c) False. It is equal to the weight
d) False. In the terminal speed the acceleration is zero
e) False. The friction force is equal to the weight
Based on the calculation of the resultant of vector forces:
- the resultant force due to the quadriceps is 1795 N
- the resultant force due to the quadriceps is 1975 N. Training and strengthening the vastus medialis results in a greater force of muscle contraction.
<h3>What is the resultant force due to the quadriceps?</h3>
The resultant of more than two vector forces is given by:
where:
- Fₓ is the sum of the horizontal components of the forces
- Fₙ is the sum of the vertical components of the forces
- Fx = F₁cosθ + F₂cosθ + F₃cosθ + F₄cosθ
- Fₙ = F₁sinθ + F₂sinθ + F₃sinθ + F₄sinθ
- F₁ = 680N, θ = 90 = 30 = 120°
- F₂ = 220 N, θ = 90 + 16 = 106°
- F₃ = 600 N, θ = 90 + 15 = 105°
- F₄ = 480 N, θ = 90 - 35 = 55°
then:
Fx = 680 * cos 120 + 220 * cos 106 + 600 * cos 105 + 480 * cos 55
Fx = -280.6 N
Fₙ = 680 * sin 120 + 220 * sin 106 + 600 * sin 105 + 480 * sin 55
Fₙ = 1773.1 N
then:
F = √(-280.6)² + ( 1773.1)²
F = 1795.16 N
F ≈ 1795 N
Therefore, the resultant force due to the quadriceps is 1795 N
<h3>What would happen if the vastus medialis was trained and strengthened to contract with 720N of force?</h3>
From the new information provided:
- F₁ = 680N, θ = 90 = 30 = 120°
- F₂ = 220 N, θ = 90 + 16 = 106°
- F₃ = 600 N, θ = 90 + 15 = 105°
- F₄ = 720 N, θ = 90 - 35 = 55°
then:
Fx = 680 * cos 120 + 220 * cos 106 + 600 * cos 105 + 720 * cos 55
Fx = -142.95 N
Fₙ = 680 * sin 120 + 220 * sin 106 + 600 * sin 105 + 720 * sin 55
Fₙ = 1969.72 N
then:
F = √(-142.95)² + ( 1969.72)²
F = 1974.9 N
F ≈ 1975 N
Therefore, the resultant force due to the quadriceps is 1975 N.
Training and strengthening the vastus medialis results in a greater force of muscle contraction.
Learn more about resultant of forces at: brainly.com/question/25239010
Answer:
<h2>1116.9 N</h2>
Explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 438 × 2.55
We have the final answer as
<h3>1116.9 N</h3>
Hope this helps you
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