In physics, motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time. The motion of a body is observed by attaching a frame of reference to an observer and measuring the change in position of the body relative to that frame with change in time. The branch of physics describing the motion of objects without reference to its cause is kinematics; the branch studying forces and their effect on motion is dynamics.
If an object is not changing relatively to a given frame of reference, the object is said to be at rest, motionless, immobile, stationary, or to have a constant or time-invariant position with reference to its surroundings. As there is no absolute frame of reference, absolute motion cannot be determined. Thus, everything in the universe can be considered to be in motion.Motion applies to various physical systems: to objects, bodies, matter particles, matter fields, radiation, radiation fields, radiation particles, curvature, and space-time. One can also speak of motion of images, shapes, and boundaries. So, the term motion, in general, signifies a continuous change in the positions or configuration of a physical system in space. For example, one can talk about the motion of a wave or about the motion of a quantum particle, where the configuration consists of probabilities of occupying specific positions.
The main quantity that measures the motion of a body is momentum. An object's momentum increases with the object's mass and with its velocity. The total momentum of all objects in an isolated system (one not affected by external forces) does not change with time, as described by the law of conservation of momentum. An object's motion, and thus its momentum, cannot change unless a force acts on the body.
I know you can't solve it and just give it to me, I just want to know what I'm supposed to do, if you need any more information or clarification please let me know. Thank you for taking the time to help me!
Hi everyone,
The four fundamental forces are gravity (I understand that G.R. does not look upon gravity as a force but I'm not worried about that here), the Lorentz force, the weak force, and the strong force. I'm familiar with the inverse square law for gravitation and the Lorentz force...
I've just learned about simple harmonic motion and I've been given the following examples: The physical pendulum (for small oscillations sin(theta)~theta), with the formula (1st pic), and the LC circuit, with the formula (2nd pic). If possible, I need the demonstration for these 2 formulas...
First I use young's modulus to solve for delta y. I get 5.67x10 -5.
I am not sure what to do after this, but this is my attempt.
Next I do T = 2delta y sqrt(m/k) (I am not sure if I am supposed to put 2 delta y)
Solving for f, i get f = 1/(2delta y sqrt(m/k))
F = kx, mg = kx, m = kx/g...
I went quite confidently on this one, at least at the beginning...
I found the instant velocity on the 3rd second(v1=12.2m/1s) and the one on the 4th(v2=14.4m/1s), and subsequently the acceleration(a=2.2/1m/s*s).
Since the acceleration is constant, using the law "v=v0+aΔt", I have found v0 which...
I don't need to know how to solve this but I was just looking for the answer. Can anyone help?
A man is standing at a launch site. The rocket doesn't liftoff. Frustrated s/he throws it straight up with a speed of 12.42 m/s. It is caught on the way down at a point 5.0 meters above where it was...
Hello forum, i want to make a samulation of a body. The body will be moved horisontal on y,x axis. I want on my simulation the body to change direction many times(for example i want to go for 10sec right and then left end right...). My question is does i need more than one differential equation...
I know I need to solve for acceleration as I am not on Earth and I am assuming I should create a distance vs. time graph. But overall I am unsure what to do. Please help been stuck on this for a while.
1):
a=(V-U)/t
a=(40m/s - 0m/s) /5sec = 8m/s2
2):
U-V/t > t= V/a
t= 0m/s - 40m/s / -3m/s2 = 13.3sec
3):
8m/s2 = 8x8= 64m
64m x 10sec = 640m
How do I work out the total distance traveled over the 3 stages with the information if its correct for question 3?
and do I have to take into...
Summary:: Scooby-Doo wants a Scooby Snack. According to a website I looked up last night, Scooby can run at a speed of 36 km/h. He runs up a ramp (as shown, 2.0 meters high, 4.0 meters long) at that speed and off the edge. Three meters from the end of the ramp, Shaggy has a Scooby-Snack...
So, I simply used the percentage increase formula for the resistance force, but what I come up with is a 9.5% increase, as opposed to the 44% it should be...
Here's my procedure:
I first calculated the speed of two blocks using angular speed, then find the centripetal force of them, but I don't know how to proceed my calculation, what value should I plug into Hooke's law?
A new development race car of mass 400 kg accelerates from 20 km/h to 200 km/h over a distance of 120 metres. Frictional and wind resistance forces can be assumed to be 1000N during the acceleration. Determine the following:
(i)The average acceleration from 20 km/h to 200 km/h
(ii)The time...
Quantum mechanics has argued for years that space is not a vacuum.
Arguments attempting to brush aside quantum mechanics vacuum theory claiming, it's 'just a quantum mathematical theory' can now put to rest.
In this article, laboratory experimentation demonstrates that the Casimir Effect can...
My solution: For the horizontal portion of the chain: let at any instant the length of chain inside the tube is x, and at that instant the chain in the tube is having a velocity v. Then, at any instant:
##F = \frac{\mathrm{d} p}{\mathrm{d} t}##
##p##= mass of the chain in the tube at the...
Hi,
I am just writing a post to follow up on a previous thread I made which I don't think was very clear. The question is mainly about how to use the below equations when there is also a rotation of the body around the fixed reference point.
Please see the diagram here to see how the vectors...
From this question, I do not understand why there are three forces exerted at Point C (2 of it being the tension by weight A and the other is the tension by weight B) I understand that there is tension by the two weights but why is there 2 forces exerted by weight A at point C?
From the...
qvB=mv^2/R
R=mv/qB= p/qB !
As you can see, the difference between this relation and the relation in question is in 'c'.
Maybe my way is wrong. Maybe I should get help from relativity because the speed of light is involved here.
Please help. Thankful
How do you set the direction for this problem? Do you look at the motion of the block? If you set right positive, does that automatically makes upward motion positive? I set right as positive and up as positive for this problem. However, my answer was wrong. Textbook solution set right as...
Hi
I'm having trouble to understand the centripetal force in a rotating rod with a mass in its end.
When ##90°<\theta<270°##, the centripetal acceleration is produced by the tension, which counteracts the radial component of the weight.
But what happens when ##\theta<90°## or ##\theta>270°##...
Hi,
I am reading the following question: "Particle P moves in a circular groove with radius ## a ## which has been cut into a square plate with sides of length ## l ##. The plate rotates about its corner ## O ## with with angular velocity ## \omega \hat k ## and angular acceleration ## \dot...
i. Using Newton's 2nd Law, F = m a
consider the motion of the entire system, so the car, caravan and towbar an be thought of as a single object.
The tension can ignored as it is an internal force.
Braking fore + resistive forces = mass * acceleration
Braking force + 200N +150 N=(1000+1500)*(0.5)...
The displacement of the particle is;
s= ∫v dt
s= ∫4-3t^2 dt
s=4t-t^3+c
When the particle is at the Origin, t=0;
0=4(0)-(0)^3+c
c=0
So this becomes;
s=4t-t^3
The particle next passes through the origin when;
4t-t^3=0
Factor out the common term -t;
-t(t^2-4)=0
Rewrite t^2-4 as t^2-2^2 and factor...
hello I would like some help with the first part of this homework.
for the moment i have done this:
E initial=m*g*h
Efinal= 1/2 m*v ^ 2+1/2I*ω ^ 2
Ei=m*g*h+1/2I*ω ^ 2
Ef=1/2*m*v ^ 2
my doubt is with the potential energy since it confuses me when there is or not...
Question 1:
So we are given three variables;
Mass=90kg
Angle to the vertical = 20 degrees
Speed = 10 ms^-1
There is not enough information to rearrange the formulas for centripetal force or acceleration in terms of r to find the radius. However, I have a attached a free body diagram of a...
The solution states that there's no rotational motion when ##C## is cut (the motion is curvilinear), so we can take torques with respect to the centre of mass of the plate. But, isn't it rotating? I think of it as a pendulum, which describes a circular motion. What's the difference? Wouldn't the...
Consider the classical Heisenberg model without an external field which is defined by the Hamiltonian:
\mathcal{H} = -\sum_{ij} J_{ij} \vec{s_i}\vec{s_j}
where J_{ij} > 0 describes the coupling between the spins \vec{s}_i \in \mathbb{R}^3 on some lattice. (Is there a way to use tex...
This is about the famous, classic experiment of Magdeburg hemispheres with the Wikipedia link below:
https://en.wikipedia.org/wiki/Magdeburg_hemispheres.
"The experiment was designed to demonstrate the vacuum pump invented by Otto von Guericke - but also the tremendous 'strength' of the...
1) We know that for a given Killing vector ##K^\mu## the quantity ##g_{\mu\nu}K^\mu \dot q^\nu## is conserved along the geodesic ##q^k##, ##k\in\{t,r,x,y\}## . Therefore we find, with the three given Killing vectors ##\delta^t_0, \delta^x_0## and ##\delta^y_0## the conserved quantities
$$Q^t :=...
https://www.asi.edu.au/wp-content/uploads/2016/10/ASOEsolns2012.pdf
Q11 D) Markers comments: Few students reached part (d) and very few of those who did realized that the amplitude does affect the time taken for each of Mordred’s bounces. i.e. the energy losses results in shorter periods...
Earth moves through space in a certain direction at a certain speed. Moving faster slows down your clock while moving slower increases your clock.
Does this mean that the direction your moving in has an effect on time dilation? In other words, if you move along with the earth’s initial speed...
sites or books for SHM high school and undergrad level. i want to understand SHM from the ground up and I am finding difficulty with my current sources
and this is my solution
for question (d), it may seems that $$R=(k)/(k-m\omega^2)R_0$$ so that $$\omega ≠ \omega_i =√(k/m)$$
but $$\omega_c <\sqrt{k/m}$$ is always true, ##\omega_i## corresponds to the limit case when ##F_max## is infinitely large
Besides, I don't know other Physics prevents...
These are the solution, I'm not understanding something:
In the absence of gravity, the total kinetic energy and vertical momentum are conserved).
So we have
## \frac{1}{2} m v_0 = \frac{1}{2} M \dot{Y}^2 + \frac{1}{2} m \dot{y}^2 ##
## 0 = m \dot{y} + M \dot{y} ##
Ok. But, if the ball goes...
I watched a video that showed how to calculate the center of gravity of a horizontal bar suspended from two wires, one attached to each end. Each wire was then attached to a vertical wall. The angle each wire made with the wall it was attached to was given. They treated it as an a example of...
Let's say you have a simple structure with two equal masses connected by a massless rigid baton of length L. Like this:
Imagine this structure is totally free in space. It is not hinged in any way. Then forces act on each mass in 2D (x,y). If you have the x and y force vectors acting on each...
If it were supposed that time were a 4th non-spatial dimension how would it influence the gravitational movement ?
The problem I have when trying to solve this invented problem is that Newtonian physics works in coordinates and that there are a lot of ways to find 4d 3+1 hyperbolic-spherical...
I need help to understand this problem taken from Mechanical Vibrations by S. Rao
I know that the equations of motion could be obtained in various ways, for example using the Lagrangian, but, at the moment, I am interested in understanding the method he used. In particular, if I'm not...
I know that I need to find the equation of the line of motion of the two particles, the dot product of which with one of the options will give 0.
I began with founding the coordinates of center of mass:
R = (m1r1+m2r2)/(m1+m2) = (2a/3, 0, a/3)
and velocity of the center of mass:
V =...
In the Schwarzschild metric case why is : $$r=cste,$$
$$\theta(t)=\arccos(\sin\alpha\cos\omega t)),$$
$$\phi(t)=\arctan(\tan(\omega t)/\cos\alpha),$$
$$t=\tau$$
not solution to the geodetic equation ?
Why is my analysis of critically damped motion wrong?
x'' + y*x' + wo²x = 0
Choosing a complex number z as z = A*e^i(wt+a) and putting on the equation calling x as the real part of Z
w = ( i*y +- (4wo²-y²)^(1/2) )/2 (bhaskara)
2wo = y (critical)
w = iy/2
z = A*e^i(ity/2 + a)
z = A*e^(-yt/2...