The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector. If there is a change in speed, direction or both, then the object has a changing velocity and is said to be undergoing an acceleration.
Hello,
I have completed the question below.
I am just unsure on whether i am correct or not.
I am unsure on Mechanical Advantage. As i have seen a few different equations.
Question:
Answer:
a)
Velocity Ratio = $$\frac{\text{Distance Moved By Effort}}{\text{Distance Moved By Load}}$$...
At time t=0 , a car moving along the + x -axis passes through x=0 with a constant velocity of magnitude v0 . At some time later, t1 , it starts to slow down. The acceleration of the car as a function of time is given by:
a(t)= 0 0≤t≤t1
-c(t−t1) t1<t2
where c is a positive constants in...
Good Morning
When we derive the Euler Lagrange equations using Hamilton's Principle, we make a point of varying the velocity and the position at the same time, (despite the fact that, normally, they are related through a derivative).
I do understand that this is allowed: we are trying to find...
My solutions (attempts) :
a> w=v/r | r=6.35x10^6m | therefore V=7.04x10^-5 m/s
b> speed of rotation is faster at the equator than the pole as w=v/r. As w remains constant, as r increases towards the pole V has to decrease.
c> F = W - R
d> Stuck here. I presume that I have to use the equation...
Angular velocity is the degrees by which something rotates over a time period. If I have an angular velocity in one direction and I resolve it into its components, its components would obviously be of lesser value. Here's what I don't get. When I imagine this scenario, I see that the thing...
Could I please ask for any help with the following question:
Here's my attempt: (i and j are unit vectors in the directions of east and north respectively)
(apologies that LaTeX is simply not working for me, I'll label the angles in each case T and P as shown in my diagram)
Let the...
Answers are the following :
(i) v=(2cost)i - (2sint)j -(1/2)k
(ii)2.06m/s
(iii)2m/s^2 horizontally towards the vertical axis, making an angle of pi/4 with both the I and j axes.
Further given:
- every beam is infinite stiff
- pulleys are massless
- cables don't stretch, no slip, and frictionless.
-Every pulley has a diameter D except pulley Q. Pulley Q has diameter 0.5*D
So what I don't understand is how to calculate/determine the velocity at R and S. Can someone help...
In graphene system, the velocity operator sometimes is v= ∂H/ħ∂p, and its matrix element is calculated as <ψ|v|ψ>, i.e., v_x = v_F cos(θ) and v_y = v_F sin(θ) [the results are the same with Eq. 25] for intraband velocity. Recently, I see a new way to calculate the velocity matrix (Mikhailov...
When calculating the dV available from a rocket booster, the below calculation is used:
(ISP . g) . ln(Mass when full/Mass when empty)
Is 'g' always equal to 9.81 in this equation, or do you use the actual gravitational acceleration that the booster will experience, at it's given altitude, to...
I'm reading a text on special relativity (Core Principles of Special and General Relativity), in which we start with the equation for composition of velocities in non-standard configuration. Frame ##S'## velocity w.r.t. ##S## is ##\vec v##, and the velocity of some particle in ##S'## is ##\vec...
This question came in NEET Exam 2018.Now my first query is that in the question,the mass of one Oxygen molecule is given wrong.Its exactly half it's true value.I don't think anybody has noticed this before because I couldn't find any change in the printed question on so many different books...
Below are equations/formulas/text from
https://en.wikipedia.org/wiki/Schwarzschild_geodesics
https://hepweb.ucsd.edu/ph110b/110b_notes/node75.html
I apologize for not remembering the source for the "v=" equation, or for my inability to find it again.
For a circular orbit, the distance r and...
I think i could deal with this problem interpreting this force like a central force, what seems pretty nice to me, since in a circular orbit the force will always pass through the center, if it is perpendicular to the velocity.
I thought, since the force is central and in this case, spherically...
I thought in this equations
f is the man's pull\
f + dm*g = T < 600
Where dm is equal to the mass of the string that pull the up part (15-x) after descending x meters.
dm/(15-x) = m/15
And, to the man: W - f = Mx''
I can solve this, and i got ~8m/s
Is this right?
So I understand that time is now part of the four vector, and so dividing delta X by delta t (time according to me), would produce just c as the first dimension of the vector, which gives us no intuition as to how fast time is moving for the observer, so is not useful.
I understand why we...
A Problem is posed for a flight from Melbourne to Cairns.
Using the formula for rotational speed at latitude -
1) The latitude of Melbourne is approx 38 degrees south with a rotation velocity of 820 miles/hr
2) The latitude of Cairns is approx 17 degrees south with a rotation velocity of 994...
Hello :
as i read during quarantine introduction to elementary particles by griffth i encounter the following paragraph
"When we speak of the "velocity" of a particle (with respect to the labo-
ratory), we mean, of course, the distance it travels (measured in the lab frame)
divided by the...
I was studying how to derive the cross-section formula in the CoM frame from Mandl & Shaw QFT's book, and they state the following formula for the relative velocity (I'm going to use Vanhees71's notation though)
$$\omega_1 \omega_2 v_{rel} = [(p_1 p_2)^2 - m_1^2 m_2^2]^{1/2} \ \ \ \ (2)$$
Then...
If you derive the equation for orbital velocity you get
\begin{equation}
v_{orbit} = \sqrt{\frac{GM}{R}}
\end{equation}
and for escape velocity you get
\begin{equation}
v_{escape} = \sqrt{\frac{2GM}{R}}=\sqrt{2}\,v_{orbit}
\end{equation}
I'm wondering if there is a logical/geometrical...
I first calculated initial velocity:
√7.09^2+1.07^2=7.17028
acceleration=√7.22^2+2.47^2= 7.63
then i substituted all values into this equation:
final velocity=initial velocity + acceleration x time
so, final velocity=82.0285
so the magnitude=
final velocity-initial velocity= 74.858271
is...
I first calculated the velocity v:
√2.8^2+6.3^2= 6.8942
then i used it as the final velocity, so final velocity=6.8942
and the initial velocity=0
acceleration=9.8
Then i substituted them into this equation:
final velocity=initial velocity + accelerationxtime
then time=0.703489843
hence i...
I do not understand part b.
I know that x180/pi changes the value into a degree, but i do not understand what's going on inside the bracket. And how did the equation calculated the direction?
This is the graph I was given and the answer options. Since the graph is a straight line moving towards the positive direction I thought that meant it was traveling at a constant speed moving in the positive direction. That ended up being the wrong answer. Can anyone offer insight, I missed each...
My answers: a) At points d the instantaneous velocity should be greatest since slope of c-d is greatest I think
b) At point e and g instantaneous velocity is 0
c) at points b, c, and f instantaneous velocity is negative.
Could you please verify my answers?
Hello,
I wrote a program that adds force to a car like so:
Engine Force = Power / Velocity
Drag Force = -Velocity²
Net Force = Engine Force - Drag Force = Power / Velocity - Velocity²
I'd like to determine power based on how fast I want a car of a given mass to reach a given speed, for...
This isn't right, is it?
-\dfrac{GM}{R}+\dfrac12 v^2=-\dfrac{GM}{R+h}
v=\sqrt{\dfrac{GM}{R}}\left( 1-\sqrt{\dfrac{R}{R+h}}\right)
He's doing energy conservation. The mechanical energy at the Earth's surface is equal to the energy when the speed is 0.
For:
a) Avdol did the work because he is the force that is causing the displacement, right?
b) Is there another formula we would have to use? I am confused at how this would work out and what the answer would be.
We have 2 different formulas for escape velocity. and . If we look at the first formula we see that escape velocity is inversely proportional to the square root of Radius of Earth. While in the second formula, escape velocity is directly proportional to the square root of Radius of Earth.
We...
θ=90°= π /2 so the instantaneous angular velocity dθ/dt= lim∆ t -> 0 (θ(t + ∆ t)-θ(t))/(∆ t)
When I calculate it out it is π /2 radians per second. Is this correct?
Below is the work I've attempted. I used 2 PE b'c there were 2 point charges, and only one KE b'c only the proton is moving. The final equation in case it's hard to see is V(esc) = sqrt (4kQq / mr).
I'm not sure if I did it right. Did I set up this equation right? and I am also not sure what...
Hello everyone,
I have a problem where I have to find the final displacement and final velocity which I have found however, I want to post few variations for that same problem which I am curious. It is more for my own knowledge > I would appreciate any help
Please follow graph below with...
To simulate the trayectories of solar systems around a black hole (i.e. a galaxy) I have 3 classes in C++: cSystem, cBlackHole and cGalaxy. cSystem assigns initial values of position, velocity, etc to a solar system. cBlackHole does the same but just for the black hole. And cGalaxy mixes...
The Wikipedia article on Lorentz transformations is a bit confusing by its using speed and velocity almost interchangeably: of course γ (Gamma) stays the same, but (letting c=1) t'=γ(t-vx) , then if this is v⋅x, and x stays the same, then there would be a difference if something were going away...
I know that taking the scalar product of the harmonic (Laplacian) friction term with ##\underline u## is
$$\underline u \cdot [\nabla \cdot(A\nabla \underline u)] = \nabla \cdot (\underline u A \nabla \underline u) - A (\nabla \underline u )^2 $$
where ##\underline u = (u,v)## and ##A## is a...
Hi all,
I can't find a single thing online that translates a cartesian velocity vector directly to spherical vector coordinate system.
If I am given a cartesian point in space with a cartesian vector velocity and I want to convert it straight to spherical coordinates without the extra steps of...
First calculate mean velocity:
400 hl h-1 = 40,000 L / h-1 = 666.67 L/min
1L/min = 10^ -3 m3/min
666.67 L/min = 0.666 m3/min
= 0.0111 m3/sec
Cross sec area = (3.14)(0.1/2)^2 = 7.853 x 10^-3 m2
0.0111/7.853 x 10^-3 = 1.413 m/s
Re = (1010)(1.413)(0.05)/0.0025
= 28,542.6
Am i right here?
Re...
I want to clarfiy some ideas, so let us assume an inital observer measures a 4 velocity of an object. ##\vec{u} = (c\gamma_u, \gamma_uu^x, \gamma_uu^y, \gamma_uu^z)##. When we calculate the magnitude of the 4-velocity we get,
$$\vec{u} \cdot \vec{u} = -c^2\gamma_u^2 + \gamma_u^2U^2$$ where...
Hey! :o
A point is moving linearly with constant velocity $v$ and the movement is $x=a+vt$.
The below information is given:
Find the initial position $a$ and the velocity using the method of least square. Could you give me a hint how we use this method here? Couldn't we use the data of...
Please can I ask for help with the following as to where I'm going wrong.
Book answer is 20 knots and 315 degrees
My solution:
In the below diagram I have sketched the two situations, k is the true speed of the wind.
First question is, is my diagram correct?
The velocity of the wind...
Hi
I found this paper on the measurement of unknown velocity vector of a closed space. Does it mean that it is possible to measure the unknown velocity vector of a closed space ? Can someone explain it to me
The first thing I did, was to find the equations for player A (p) and ball's (b) path (for each i and j component I used the equation I wrote in the relevant equations) and then I found the derivative of both equations so I could have the velocity:
$$\vec{r}_p(t)=(6t^2+3t)\hat{i}+20\hat{j}...
I was told to solve the second equation above for x to get l2 and l2, but that only gets me those in terms of other unknowns. I'm assuming I just need to solve t for my knowns, but I keep getting caught up by my unknowns. i.e., solving for x gives x = (l2*L*v2)/(l1*v1+l2*v2). Please note "l" is...
Greetings,
how do
- the velocity distribution of the solar wind at 1 AU
- the velocity distribution of the solar wind in our line of sight
look like?
I have found the 400 Km/sec but no further information. Is it an average values? Is this radially on the sun the same?
Links with graphs are...
Hi guys
I saw that equation of the velocity of electrons In a periodic potential $$ v = (1/h) grad E(k) $$ in my textbook we use in our solid state physics course without any proof or any thing and when I searched for it I found that its derived in Ashcroft book appendix E :
Is there is any...