Lets say that a man with a standing height of 185cm bent his knee 30 degrees, how many centimeters will be reduced from his standing height? Assume his femur length is 60cm and his tibia (shin) length is 50cm.
Can anyone give me a hint?
I've tried to use trigonometry but i don't think i fully...
Really need to help getting started with this one.
They've given NPSH = (Ps - Pvp)/qg
Where Ps = Suction pressure at pump inlet
Pvp = vapour pressure of liquid at temp of pumping
q = density of liquid
g = acc due to grav
They've also provided Darcys friction Equation
The examiners tip (its a...
Energy is always conserved, when something drops to the ground, potential energy changes to kinetic energy and as soon as it hits the ground it changes to another form of energy. If it's an elastic collision, from what I have learnt, the kinetic energy on colliding with the ground will be...
So far all I can work out is that the angle of incidence of the outer two and inner two rays is zero degrees, however, I can't work out how to get started on the problem. I feel like I need to use vertical slowness rather than the normal snell's law since I'm working with a dZ rather than a dX...
Suppose Jack and Jane are the same height, and Jack's height increases by 15% to 5.75 ft. If Jane does not grow, what is her height?Thank you in advance for your help and time.
I'm having some conceptual difficulty with this; here's what (little!) I've done so far.
Suppose the distance between the centres of the Earth and the moon is ##x## and that the radius of the Earth is ##r##, and let the gravitational field strength due to the moon at the near side, far side and...
The function should use (r,z,t) variables
The domain is (0,H)
Since U is not dependent on angle, then theta can be ignored in the expression for Laplacian in cylindrical coordinates(?)
Hi,
Could I please ask for help regarding the following question.
The book answer H = ( 3 - 3 sqrt(2)/4 ) L
(natural length of string is L)
Here is my diagram:
The green level represents the unstretched string.
The blue level is the string and mass in equilibrium.
The purple level is the...
how to find upper bound height and lower bound height of 3-ary ordered tree that have leaves of 101? ( the tree don't have to be complete tree, but have to be have 3 children)
$$m^h \ge 101=3^h \ge 101$$
$$log \, m^h \ge 101=3^h \ge 101$$
$$h \ge 5$$
but how to know upper bound and lower...
a)
Eg = Gme/r^2
r = √Gme/Eg
r = √[(6.67x10^-11 N*m^2*kg^2)(5.98x10^24 kg)]/(4.5 N/kg)
r = 9.41x10^6 m
h = r2 - r1
h = 9.41x10^6 m - 6.38x10^6 m
h = 3.03x10^6 m
that's over 3000 km. Did I not use for right equation? Is Eg not 4.5 N/kg?
Also for b), isn't the force of gravity the centripetal...
Greetings,
Looking for the best way to calculate TDH for some rainwater catchment systems I am designing in Texas. Some homes we are installing these systems on have large footprints, between 6,000 to 8,000 sq feet. The large rainwater collection tanks we install range between 30,000 and...
Magnitude of acceleration of system:
a = (4.59kg - 1.71kg)(9.81N/kg)/(4.59kg + 1.71kg)
= 4.48 m/s^2
Velocity of lighter mass when heavier one hits the ground:
vf^2 = vi^2 + 2ad
= 0 + 2(4.48m/s^2)(2.60m)
vf = 4.83 m/s [up]
I am not sure what to do from here? I don't really understand what...
Hello,
Could anyone help me understand the steps on the below questions?
A cone has a total surface area of 300π cm² and a radius of 10 cm. What is its slant height?
A cone has a slant height of 20 cm and a curved surface area of 330 cm2. What is the circumference of its base? I'd really...
First, I tried solving for the total time of flight, which I got as 100 = 5cos25*t --> t=22 s
Since we know the height at which the object lands, but not at which it is launched, I tried setting up the equation as:
yf = 40 - y0 = y0 + 5sin25*(22) - 1/2(9.8)(22)^2
However, I got y0 = 1183 m...
If we take a slab of air with cross-sectional area of A and height dz in our atmosphere. Now, what we do is make an argument like this :-
Pressure from below must balance both the weight and Pressure from above to keep the slab at rest. ( I have added an attachment for clarification)
And...
Just had this pondering: Does the force on a water dam depend merely on the height of the water column behind it or does it depend on the total amount of water behind it? For the same dam if I have a lake behind it that is just a few metres wide vs. having a vastly large lake behind it with the...
Say I have two identical circles, both of radii of one, overlapping, as shown in the diagram below:
In this diagram, x is the circumference of the circles, and the bit of the bottom circle which is drawn blue (the overlapping bit) is 1/6th of the whole circumference.
What I'm looking for is...
Summary: Lower than average weight at the equator causes the Earth to be wider, yet positive gravity anomalies are claimed to cause an increase in sea height.
Summary: Lower than average weight at the equator causes the Earth to be wider, yet positive gravity anomalies are claimed to cause an...
I am talking about low wing single engine WWII fighter types.
In particular, I am interested in accelerated propeller airflow through the transition/curvature of the prop slipstream spiral distribution around the wing, from being partly below, towards mainly above the wing. This as the wing's...
$$f = -\frac{-30}{2} = 15$$
solving for ##d_0## in $$f^{-1} = d_i^{-1} + d_0^{-1}$$,
$$d_0 = (f^{-1} - d_i^{-1})^{-1}$$
= -36.1364
solving for ##h_i## in $$m = \frac{h_i}{h_0} =-\frac{d_i}{d_o}$$,
$$h_i = -d_i\times\frac{h_0}{d_o} = 0.4987$$
I'm told by webassign that it should be negative...
I am in the process of making a tent and need to get two curved surfaces to meet.
I need to find the length of a Chord of a circle given that I have the Arc length and Arc Height (that's all), no radius or anything else.
I suspect that I will need a radius to find this. Or am I missing a...
Some thoughts that I've had on the question are saying the volume flow rate (##Q##) in, must equal the volume flow rate out. If that's the case, then:
##Q_{in} = Q_{out}##
##A_1V_1=A_2V_2##
But... no areas have been given. And height doesn't enter this equation at all.
Then I thought it...
Here's a fully typed version of the problem with a diagramMy attempt:
Given the angle of the hill, I know that the horizontal displacement of the arrow and my vertical height on the hill are related by
##Δx=d+\frac h {Tan(60)}## ...(1)
where d is the distance of the enemy from the base of...
To find vx
vx = dx/t = 3.86 m/1.5 s= 2.573 m/s
To find Ek
Ek = ½mvx²= ½(79.4)(2.573)²= 262.8 J
W = FnetΔd
Fnet = 262.8 J/ 3.86 m = 68 N
He hits him with a force of 68N
Homework Statement
Fire hose has diameter of 4.0 cm and flow rate of 10 L/s. There is pressure of 2.2 bar inside the hose. How high the water can go at best? Water density is 1.00E3 kg/m^3 and air pressure outside the hose is 1.0 bar.
Homework Equations
Flow rate
$$ Q = Av $$
Newtons...
Homework Statement
A frustum is made by removing a small cone from a large cone. The cones are mathematically similar.
(please see picture attached)
The large cone has base radius r cm and height hcm. Given that
volume of frustum/volume of large cone = 98/125
Find an expression, in terms of...
Why the height of liquid is not affected by the radius of U-Shaped tube . ..my textbook says this and it does make sense because if increase the radius of u shaped tube the height of liquid should decrease as the liquids take shape of their container.
Edit : I could not make the title longer...
Homework Statement
Homework Equations
The kinematic equations--namely, Sf = S0 + V0Δt
The Attempt at a Solution
[/B]
I am a bit confused as it seems this problem is very straight-forward.
My known variables:
X0 = 0m
Y0 = 1.7m
Δt = 3.92s
V0 = 29m/s
Θ = 60ο
Yf = ?
So, I just use the above...
Hello, I am trying to understand the maths/physics/chemistry behind this situation. Here is the scenario. I have 8 grams of pressurized N2O in a cylinder at 60 bar/ 900 psi. If the temperature stays constant (let's say 50-70°C, or at a temperature where the N2O can stay as pressurized as...
Homework Statement
There is an object at the top of a frictionless hemispherical hill with radius R. t time t=0, it is given a small impulse so that it starts sliding down the hill. Find the height from the ground where the ball becomes airborne. Express your answer in terms of R.
Homework...
A friend of mine was able to photograph STEVE and later found out that another photographer also captured the same event. One captured it from the south and the other from the north. He has asked me if using the the information from both locations, can the height of STEVE be calculated? The two...
To start with problem #5 i cut the shape
Into 2, a triangle and a square, i know that the additional leg length to the triangle can be found by subtracting base 1 and base 2=4 so i have a triangle with a hypotenuse of 8 inches, 1 leg=4 and now i have to find the length of the other leg. The...
So the question is...From point C on the ground level, the angle of elevation to the top of a tree is 30 degrees. From point D, which is closer to the tree, the angle of elevation is measured to be 45 degrees. Find the distance between points C and D if the height of the tree is 4m.
I know...
Hi all,
I am new to this forum and seeking help with a project that I am working on at the condominium complex where I live in Thailand during the winter months. We currently have 3 ponds with water spouts in each pond. At this time the water nozzles spray (bubble up) to about 12-14 inches. My...
Homework Statement
Tarzan runs at 6 m/s and grabs a vertical vine (negligible mass) of length 4.1 m which is tied to a branch at the top. Tarzan then swings up.
Determine the maximum height Tarzan will swing up and the maximum angle the vine will make with respect to vertical.
Homework...
Homework Statement
An air parcel is investigated to study the weather.It rises up and rests at an equilibrium height in the atmosphere,where its weight is exactly balanced by the upward buoyant force. We shall assume
ideal gas law to hold for all processes and neglect the mass of the air...
Homework Statement
Please look at the problem attached as a screenshot.
Homework Equations
Assuming frictionless, Ei = Ef, which means objects that are the same will end up in the same heights (so we can group A&C, B&D, and E&F).
For A&C and E&F, mgh = KE_rot + KE_trans
For B&D, it is mgh...
Hi,
I'm trying to attempt the "Try it yourself" on the bottom-right corner of the image attached, but I am struggling.
As you see in the other image I attached, in one scenario I took into account the kinetic friction (which did not lead me anywhere since I needed to know the velocity of the...
Homework Statement
This is not my homework question, I was asked to help with it, but I've been out of the engineering field for many years now. Here's the question:
Starting from rest, a 2500 kg helicopter accelerates straight up at a constant 1.7 m/s2. What is the helicopter's height at the...
A 50.0-kg male dancer leaps 0.32 m high.
(a) With what momentum does he reach the ground?
I know that to find momentum the equation is P = mv, but I only have the mass and distance. I have tried finding the time (D = 1/2at^2) and later used that time to find the velocity (v = d/t). I later used...
Homework Statement
Show that the variation of gravity with height can be accounted for approximately by the following potential function
V = mgz(1+z/re)
in which re is the radius of the Earth. find the force given by the above potential function.
Homework Equations
V = GM/r
The Attempt at a...
Homework Statement
A rocket takes off from the launch pad and moves directly upward with an acceleration of 29.4 m/s2. It runs out of fuel after 4s and continues to coast upward, reaching a maximum height before falling back down to Earth.
a) Find the rocket's maximum height.
b) What is the...
Homework Statement
A ball is kicked with an initial speed of 20m/s at an angle of 50° above the horizontal. What maximum height does the ball reach?
Homework Equations
Vfx=VicosΘ
Δx=VicosΘt
Vfy=(VisinΘ)+ay⋅t
(Vfy)^2=(VisinΘ)^2+2ay⋅Δy
Δy=1/2(Vfy+(VisinΘ))⋅t
The Attempt at a Solution
I...
Homework Statement
This is the exercise 10.6 from Feynman lectures on Physics 2.
Two coaxial pipes of radii a and b(a<b) are lowered vertically into an oil bath. If a voltage V is applied between the pipes, show that the oil rises a height H.
Show that H=(V^2)(κ-1)ε_0/[ln(b/a)ρ(b^2-a^2)g]
where...
Hello.
I am wondering how I can find the area of a trapezoid from its two legs and bases.
My problem:
ABCD is a trapezium with AB parallel to CD such that AB = 5, BC = 3, CD = 10 and AD = 4. What is the area of ABCD?
If we trace a straight line from A down parallel to the height of the...