In mechanics, acceleration is the rate of change of the velocity of an object with respect to time.
Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object. The magnitude of an object's acceleration, as described by Newton's Second Law, is the combined effect of two causes:
the net balance of all external forces acting onto that object — magnitude is directly proportional to this net resulting force;
that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to the object's mass.The SI unit for acceleration is metre per second squared (m⋅s−2,
m
s
2
{\displaystyle {\tfrac {\operatorname {m} }{\operatorname {s} ^{2}}}}
).
For example, when a vehicle starts from a standstill (zero velocity, in an inertial frame of reference) and travels in a straight line at increasing speeds, it is accelerating in the direction of travel. If the vehicle turns, an acceleration occurs toward the new direction and changes its motion vector. The acceleration of the vehicle in its current direction of motion is called a linear (or tangential during circular motions) acceleration, the reaction to which the passengers on board experience as a force pushing them back into their seats. When changing direction, the effecting acceleration is called radial (or orthogonal during circular motions) acceleration, the reaction to which the passengers experience as a centrifugal force. If the speed of the vehicle decreases, this is an acceleration in the opposite direction and mathematically a negative, sometimes called deceleration, and passengers experience the reaction to deceleration as an inertial force pushing them forward. Such negative accelerations are often achieved by retrorocket burning in spacecraft. Both acceleration and deceleration are treated the same, they are both changes in velocity. Each of these accelerations (tangential, radial, deceleration) is felt by passengers until their relative (differential) velocity are neutralized in reference to the vehicle.
Homework Statement
A cart is acclerating to the right with a=3m/s^2. Fluid is in hydrostatic state. Find the force on the back wall. Cart goes .8m into the page. In the image dotted line is free surface when cart is stationary.
Homework Equations
\vec{\nabla P}=\rho (\vec{g} -...
A test rocket is launched, starting on the ground, from rest, by
accelerating it along an incline with constant acceleration a. The incline has length
L, and it rises at θ degrees above the horizontal. At the instant the rocket leaves the
incline, its engines turn off and it is subject only...
I thought that one of the features of GRT was to allow for ACCELERATING reference frames. Yet none of my textbooks seem to show any examples of this. Even the Kerr metric, for a rotating black hole or mass, seems to be "inertial" in the translational directions.
(1) Is all that correct...
Homework StatementA rocket is accelerated for 10 years at a constant rate of 10 m/s². Then starts braking at -10 m/s². Then goes all the way back to its starting point by again first accelerating 10 years at 10m/s² and then braking at the opposite rate for 10 years. How much time has it been for...
Homework Statement
If I pulled out in front of a car tht was going constant velocity of say 10m/s and I accelerated to 10m/s in 5 sec, is there a use for calculus to show the point of a collision if any or time safe distance required to avoid a collision?
Homework Equations
The...
The static friction force which provides the acceleration of a car does not move through a distance (the point of application is stationary with respect to the road at any instant). Isn't it that only external forces may change the translational kinetic energy of an object? If so, and if the...
Homework Statement
I am working on the analysis portion of a lab. The experiment was dropping varying masses connected to a cart by a string and pulley. The cart's mass was constant in each trial, but the hanging mass was increased each trial. We were measuring the acceleration of the cart...
Homework Statement
A car accelerates down a hill,going form rest to 30.0m/s in 6.00s.A toy inside the car hangs by a string form he car's ceiling.The ball in the figure represents the toy,of mass 0.100 kg.The acceleration id such that the string remains perpendicular to the ceiling.Determine...
We have a frictionless hemisphere M,of a radius R and a body m on the top of it.We give to the hemisphere a horizontal constant acceleration W and consequently the body begins to slide down the accelerating hemisphere.What is the relative velocity of the body in respect to the hemisphere when...
For the record, I completely accept the concept of an accelerating universe and the role dark energy plays (as the guys who figured these ideas out are light years beyond what I can hope to wrap my brain around). So, I am hoping someone can explain to me in layman terms why this the case...
my guess was Jefimenko's equations could be used, am i right? also are there any other relevant equations or methods? also what does the current density derivative in the equation (in terms of the acceleration) for the magnetic field physically mean? p.s. my first post on the internet!
Homework Statement
When a vessel containing a liquid is accelerated as shown in the attachment its surface slopes as shown, making an angle θ with the horizontal. Does this happen?
Homework Equations
Consider a differential mass element inside the liquid.
It experiences forces F1 and F2...
Suppose I'm standing on Earth and i see an iron rod accelerating through space with a rate of 1m/s^2. Will it undergo length contraction after reaching a speed nearly to the c?
Will there be any deformations to a spinning disk?
Homework Statement
A uniform thin rod of length ##L## and mass ##M## is pivoted at one end. The pivot is attached to the top of a car accelerating at rate ##A##. What is the equilibrium value of the angle ##\theta## between the rod and the top of the car?
Homework Equations
None in...
I don't understand what the logic is behind the formula for the distance traveled by an object under the influence of a constant accelerating force, namely [(Vf+Vi)/2].t
How come it equals the distance?
I mean, I understand that you can derive the distance based on a constant velocity by...
Homework Statement
When a car is accelerating with a pendulum hanging inside it, then why does the pendulum get aligned with the vertical at an angle? Can you explain it without using the concept of pseudo force? I tried it but I was not able to get it. The Attempt at a Solution
My Attempt...
When a Beaker is accelerating in the x-direction, the water level gets sloped. Why does this happen? Is this situation analogous to the sloping pendulum in an accelerating cart? Similarly why doesn't the water level change in shape when the beaker is accelerated in y-direction? That is, the...
Consider a spaceship and a source, with no relative motion but spatially separated. At t=0, spaceship moves with velocity v \hat{a}_x w.r.t source and at t = 0 source emits a photon.
After photon has been emitted, the speed of spaceship starts increasing in same direction. So what parameters...
Homework Statement
A wedge of mass M rests on a horizontal table. A block of mass m rests on the wedge.
http://imgur.com/cS02MvM
(a) What horizontal acceleration, a, must M have relative to the table to keep the block stationary relative to the wedge, assuming no friction?
(b) What...
Homework Statement
The coefficient of kinetic friction between the inclined face of a wedge of mass M and a block of mass m sitting on its inclined face is μk (see figure below). The vertical face of the wedge is pushed with a horizontal force such that m slides up the inclined surface with an...
Hi, I am currently enrolled in a first year Physics for Scientists and Engineers course at a university, but I am a biochemistry student without a physics background. I am relatively certain that the problem is a forces problem, but there is a chance that it could be energy as we have just begun...
Suppose a cylinder is resting on a horizontal platform on plane x-y with its axis parallel to the y axis, and the platform accelerates in the x direction. Assume that the axis remains parallel to the y-axis and the surface is rough.
What is the motion (acceleration:linear as well as rotational)...
What I think I know:
1. universe is expanding (from red shift observation?)
2. expansion is accelerating; farther galaxies move away at faster rate than nearer galaxies.
3. expansion rate will exceed speed of light
4. observable universe will be a lonely, dark place.
Question:
1. how can...
This is an analysis of how a classic Einstein light clock behaves when accelerated orthogonal to its main axis. The results might be considered slightly controversial, so I am putting the details of the calculation here so that they can be checked.Consider a light clock that has its long axis...
kinematics question -- An automobile accelerating and braking
Homework Statement
According to recent test data, an automobile travels 0.250 mi in 19.9 s, starting from rest. The same car, when braking from 60.0 mi/h on dry pavement, stops in 146 ft. Assume constant acceleration in each part...
I don't really understand how to calculate the stress in a deformable body that is unconstrained and acted on by an external force. For example, consider a rod with a circular cross-section lying parallel to the x-axis. If one end is constrained from translating in the x direction and the other...
Is there any thing that could, or any way to increase the atomic decay rate of already unstable elements, such as the radio active elements. magnetically or otherwise, even if the thought is only plausible or otherwise theory, I wouldn't mind hearing it.
A thought accord to me, what if...
This is simply a thought experiment.
Say that I had a spacecraft capable of constantly accelerating or decelerating at a rate of 1g to 3g. I want to hit a target 20 light years away. How would I know where along the way to turn the ship around if I wanted to end at my destination decelerating...
Universe appears to be expanding at an increasing rate.
What measurements were performed to support this idea?
My current understanding is that in general redshift of distant stars/galaxies is increasing with time.
So to me the measurements may look like this:
We choose one star...
This is my 'virgin' attempt at intercourse in this venue, so please be roughly gentle.
(I.E.; this is my first post, I'm a bit slow (intellectually) but willing to learn. I tend to be somewhat playful in how I use words. I hope you will forgive me if I step outside the boundaries of...
I have had a physics related question buzzing around my head for some time now, but have not been able to find the answer to it. I should state that have no training in physics, but have an interest in science and the universe.
The question; if space is accelerating, what are the...
Hello everybody, I am first year student and I have a few questions about these two particles.
Do accelerating protons emit radiation?If yes,under which circumstances?
Do bound accelerating electrons (in an atom), emit radiation? If they don't, why?
Thanks in advance :)
If an object is subject to different forces at different times and these forces are totally unpredictable (the force at any instant after the current time cannot be predicted). How would we make the position change due to acceleration as accurate as possible?
I have chosen a method but I've...
Homework Statement
Starting from rest, an elevator accelerates uniformly between the 1st and 2nd floors, and decelerates uniformly between the 5th and 6th floors, coming to a stop at the 6th floor. Between the 2nd and 5th floors, the elevator covers the 6 meter distance between each two...
My school textbook says that discovery of the 1a supernova was what led to the understanding that the universe expansion is accelerating
but doesn't hubble's equation already suggest that the universe would expand at an accelerating rate?
V = Hd (V = velocity, H = hubble's constant, d =...
Homework Statement
In the figure a block of mass 'm' is placed on a wedge of mass M. The wedge is subject to a horizontal force 'F' and slides on a friction less surface. The coefficient of static friction between the block and wedge is μs. Find the range of values of 'F' for which the block...
Homework Statement
You place a 2kg box against the side of a cart. Nothing is used to stick the box to the cart which accelerates to the right. The coefficient of static friction is 0.6.
Find the minimum acceleration of the cart needed so that the box does not fall
Homework Equations...
So we know that an accellerating charge will emit EM waves.
Consider putting a voltage through a circular wire. Electrons are traveling in the wire with constant speed but their velocity is changing constantly as it is changing direction due to the shape of the wire. Now does that mean the...
I'm attempting to build a line follower robot and I'm currently in the process of building appropriate models.
For the control system I need to define a coordinate system. The most convinient coordinate system from many point of views would be a coordinate system that moves along and changes...
Homework Statement
a ball was hanging by an inextensible string to a small airplane. firstly, it was hanging straight down but when the pilot started the motor the string made an angle of 30 degrees wrt the vertical.
Assuming that the ball is a point mass, find the acceleration (m/s²) of...
In the diagram attached, a force acts tangentially on the edge of a wheel. To make things easier, the wheel is massless, so moment of inertia doesn't need to be taken into account. However there is a concentrated mass M at the axle(It could be taken as the mass of the axle). Two equal but...
Hi all,
I need to calculate the pressure in a fluid at some fixed distance from a flat plate which is accelerating (normal to its surface) through a fluid.
If you assume the plate to be infinite (i.e. a rigid half-space), then I think the problem can be formalised as a one dimensional...
Everything radiates. Then when we accelerate an electron (in the experiment of diffraction of electron to prove wave-particle duality), we say electron behaves as a wave, why can't we say its kinetic energy makes it radiates wave with higher frequency?
When we say the electron behaves like a...
Hi, first post on the forum :smile:
I am watching this video of a conversation with Stephen Hawking, Carl Sagan and Arthur C. Clarke and about 9 minutes into the film Carl Sagan says: "The galaxys are running away from each other. The further away they are from each other, the faster they are...
If an accelerating traveler, at some given instant in his travels, is told that his question "How old is my home twin right now?" has no unique, definite answer, then wouldn't he have to regard that statement as implying that she must not really EXIST at that instant at all? If she DOES exist...
We all remember the experiment where two wheels, one made of metal that is hollow and one of solid wood, of equal mass, circumference, and width are raced down a ramp, how the wooden wheel accelerates faster.
If you cut the wheels in half and used one part of each to create another wheel, half...
In Cosmology books and tv programs it is mentioned the galaxies are accelerating and running away from us. My question relates to this observation.
When they are looking through telescope to the edges of visible universe, they find extremely bright supernova or "celestial candles", calculate...
I have been reading a lot of relativity-related material and clearing up a few gaps in my general knowledge. I read something that struck me as off. Perhaps I am missing something.
Usenet Physics FAQ -> The Relativistic Rocket
http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html...