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 40kg girl and an 8.4 kg sled are on the frictionless ice of afrozen lake, 15m apart but connected by a rope of negligible mass. The girl exerts a horizontal 5.2 N force on the rope. Whatare the aceleration magnitudes of a) the sled and b) the girl? c) How far from the firls...
First of all I'm not sure if this is the right forum for this problem.
Homework Statement
Given that \overline{F}=m\overline{a} is valid in the lab frame S, show that:
(a) it is also valid in a moving frame S' with a constant velocity relative to S,
but (b) invalid in a moving frame with...
Good day to all. I'm working on something that requires me to determine the forces acting on an accelerating vehicle. I have been receiving some prior instruction from someone I know and he tells me that quite simply, an accelerating car would experience forces (1) due to the aerodynamic drag...
I have a question that I have tried to answer by searching the internet, and by writing a few astronomy professors and professors of astrophysics. One replied however in it, he only confirmed what I knew and didn’t address the question.
As I understand the accelerating Universal expansion...
The CMB data suggests that the Universe is flat with in 0.4%. CMB data also shows that the expansion of the Universe is accelerating (from the sum of angles of triangle formed by distant hot spots- Saul Perlmutter, Brian P. Schmidt, and Adam G. Riess). The pushing out dark energy is about 74% of...
Here is a picture of a situation I thought of:
The circles between the magnets indicate a wire with current flowing in the direction given. This picture is a cross section of a loop of wire, looking down. Not included in this picture is the battery and non-conductive connecting materials...
Homework Statement
A particle with a charge of 3.2x10^-19 C accelerates from rest between two charged plates. The electric field is uniform and is 39000 N/C. The distance between the plates is 4.5x10^-3 m.
A) Calculate the force on the particle
B) How much work is done by the electric...
Homework Statement
A rocket is accelerating vertically, and it is ejecting gas downwards (which allows it to move upwards) at a rate of B. The gas is ejected at a velocity w relative to the rocket.
What is the velocity and acceleration of the rocket as a function of time?
Homework Equations...
If I travel toward a star 100 ly distance (measured when at "rest") at a low % of c, the star will continue to appear about 100 ly away.
If within 1 year, I accelerate to γ=2 (about 87% c), time dilation will halve my experience of the trip's duration, and to compensate, distance compression...
Hello, I've been trying to internally conceptualize as much of physics as I could, and doing so I realized that something I thought I understood at first does not actually make any sense in my head anymore. And since it doesn't, I'm afraid that I might have misunderstood a lot of other concepts...
Homework Statement
Two stars move in circular orbits about one another with period T due to
their mutual gravitational attraction. If the objects are suddenly stopped, show that they
will then collide with one another after a time T /(4√2)
Homework Equations
T = ∫dt
dA/dt = (1/2)r2d∅/dt
Fg=...
Homework Statement
http://imageshack.us/a/img594/4821/fileeq.jpg
So, the problem is to find the minimum acceleration required to keep the block on the ramp, when the ramp is being pushed at an angle to the horizontal (so going diagonally)
I know that the coefficient of static friction...
Homework Statement
When the wheels rotate backwards,a backward force is exerted on the ground by the tyres.
By 3rd law,a equal but opposite force acts on the tyre by the ground,so the car
accelerates.
But I have also found some websites that states static friction is the only external...
I've heard that a flat Universe is one where there is enough density in the Universe to prevent a big crunch or ever-accelerating expansion, and that the fate of such a Universe is that the expansion slows down to zero as time goes to infinity. I have also heard that the Universe is accelerating...
Homework Statement
Two objects, masses 6.0 kg and 8.0 kg, are connected by a lightweight cord that passes over a massless, frictionless pulley as shown in the diagram. An upward force of 250.0 N acts on the axle of the pulley, causing the entire system to move upward (the pulley is still...
Alright so I have a question on the work done with constant acceleration up a hill. I was working an example problem that asked for the work a hiker must do on a 15.0 kg backback to carry it up a hill of height h = 10.0m with the hiker keeping a constant velocity...
It is well accepted that the universe is expanding at an increasing rate. Looking at the evidence, I certainly accept the universe is expanding as well, but is it expanding at an increasing rate?
I also understand it as an expansion of fabric of space, no simply a trait of motion between...
Homework Statement
Identify all forces acting on the object and draw the free-body diagram.
Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other...
Correct me if I'm wrong, but doesn't accelerating an object at 5mph per second for 10 seconds take the same amount of energy as accelerating it at 10mph per second for 5 seconds? Either way the object would be going 50mph. So why does the latter get worse gas mileage in a car?
http://www.smartphysics.com/Content/Media/Images/Mechanics/06/acceleratingtruck.png
A box rests on top of a flat bed truck. The box has a mass of m = 24.0 kg. The coefficient of static friction between the box and truck is μs = 0.84 and the coefficient of kinetic friction between the box and...
Problem text:
Forces act on block A and block B, which are connected by a massless string. Force \vec{F}A=(12 N)\hat{i} acts on block A, with mass 4.0 kg. Force \vec{F}B=(24 N)\hat{i} acts on block B, with mass 6.0 kg. What is the tension in the string?
The system looks something like this...
Homework Statement
The fastball of a famous pitcher in the National League has
been clocked in excess of 95 mph. Calculate the work done
by the pitcher in accelerating the ball to that speed. The
mass of a baseball is 0.145 kg.
mass = 0.145 kg
final velocity (in m/s) = 42.4688 m/s...
Suppose two observers A and B are accelerating at the same rate with respect to an inertial reference frame. In A's frame, does B move at a constant velocity? I'm pretty sure (but not certain) that the answer is yes, but even if it is I can't think of a justification.
Since the most distant galaxies appear to be faster than the speed of light, due to the insertion of new space, does this mean that galaxies haven't actually gained any velocity as the universe accelerates?
Hi:
When a mass is accelerated, what happens to its length and volume? I know that when the acceleration ends, its length is governed by the equation l = l0 x sqrt (1 - v^2/C^2), but what about during the acceleration?
ion accelerating source setup
I'm currently building a rectified, filtered power supply for use as an ion accelerator.
The setup is attached as a JPEG.
I am wondering how/where I can add resistors to the arrangement to make it so that when the dielectric breakdown voltage is between the...
Hi, my question in full; Do DIFFERENT observers (in different INERTIAL reference frames) see a DIFFERENT force (Magnitude specifically) acting on an accelerating body?
I believe yes . Because... :
ƩF = d(p)/d(t) = m*a + v * d(m)/d(t)
where m = m0/√(1-v^2/c^2)
where v is different...
Suppose two observers A and B are each accelerating at the same rate wrt an inertial reference frame, but are moving relative to one another at some uniform velocity. Will the transformation between the coordinates of an event as measured by A and B be the Lorentz transformation?
An elevator slows down with a 6 m/s2 acceleration and an object m=3 kg is freely released as shown in figure There is no friction between object an semispherical shape.
The object reaches L point what is the force which the object exerts L point?
A)120 N
B)240 N
C)360 N
D)480 N
E)600 N...
Hello everyone! This is my first posting. According to Maxwell, an accelerating charge emits a EM wave. All the books I have referred to, talk about the frequency of oscillating charge. How can we determine the frequency of EM wave emitted by a charge that is accelerating linearly? Thank you...
Homework Statement
The same force that gives the standard 1 kg mass an acceleration of 1.00 m/s2 acts first on body A, producing an acceleration of 0.640 m/s2, and then on body B, producing an acceleration of 0.359 m/s2. Find the acceleration produced when A and B are attached and the same...
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 22.0 m/s , and the distance between them is 60.0 m . After t1= 5.00 s , the motorcycle starts to accelerate at a rate of 5.00...
This is a practical physics question from a sailboat cruiser in Hawaii.
My name is Randall. Sadly, from the perspective of this forum, I was an English major, and so may not know the best way to frame the following question.
I will soon be sailing solo from Hawaii to Alaska. The...
Spreadsheet of data: http://i1105.photobucket.com/albums/h355/magnethead494/Screenshot2012-05-14at103445PM.png
Example dyno graph: http://i1105.photobucket.com/albums/h355/magnethead494/turbo_busa_dyno_hahn_stg1.jpg
I'm familiar with F = MA/G => F*G/M = A for english units (G = 32.17).
This...
Homework Statement
When the elevator is at rest, the scale reads W.
Suppose the elevator now accelerates down-ward at a constant rate of 0.4 g.
What is the ratio of the new scale reading to the value W of the scale reading when the
elevator is at rest?
Homework Equations
Force...
In Feynman lectures vol 2, chap 28, it is given that for an electron at rest, the net self force exerted on itself is zero(due to repulsions etc.). But when accelerated, owing to the retardation of the electromagnetic fields, there would be a net self force. A series expansion(with unknown...
I know that if you have alternating current in a wire, it will produce electromagnetic waves since the electric and magnetic field change direction continuously as the wave propagates, and that the wave direction, orientation of the E component, and orientation of the B component will all be...
Hi,
I am interested to hear what people think of the following argument that in an accelerating Universe virtual particles that are separated by the Hubble radius R(t) or more cannot annihilate and thus become real particles. Thus, by the uncertainty principle, particle pairs with energy E...
Homework Statement
We have an accelerating vehicle with constant a. Air inside it with mass m.
It is kind of closed box of length L and front area S.
First objetive: we want to derive the steady state pressure distribution inside the box.
Second objetive: we want to derive the transient...
It is known that if a charged particle accelerates then it emits electromagnetic wave (energy). If so then this means that the work we do on particle, W=F*s, doesn't all go to particles kinetic energy, E=0.5*m*v^2. Then this means that Newton's F=m*a doesn't hold for charged objects, particles...
Homework Statement
A bridge takes 2 minutes to open up fully from 0 to 80 degrees. The first 20 degrees it is accelerating, and the last 60 degrees it is traveling with even velocity.
I will have to find acceleration for the first 20 degrees and angular velocity for the last 60 degrees...
If a car is going around a 360 degree circle at 1 g (its maximum centripetal acceleration, and its maximum total acceleration) and then longitudinally accelerates ("gives it the gas") at .5 g (or tries to, while still cornering) for the next 45 degrees, what would be the formula for the radius...
A car which is originally at rest accelerates down a road with a net force of 32000 N acting on a 1980 kg car. At t = 12 seconds the driver slams on the brakes to avoid hitting a deer. Calculate the distance traveled by the car.
Coefficient of kinetic friction for the rubber on pavement is...
A pendulum of length, b, and bob with mass, m, is attached to a massless support moving vertically upward with constant acceleration a. Find the equation of motion.
This problem is easy with the help of Lagrangian dynamics: bθ''+(g+a)θ=0
But how to solve this problem using Newton's...
Homework Statement
Problem is described in the picture
I do not understand how can \alpha^{'}R=a^{'}.
The dimensions do not seem correct. Angular velocity x distance from the origin = tangential velocity, is that correct ? How can this equal acceleration then ?
3. Attempt to solution
I...
I watched an interview with Edward Witten some time ago and something he said surprised me.
(http://www.youtube.com/watch?v=eEutI_JKr7A) 3:25
"Which in GR causes the acceleration of the universe to accelerate."
Did he literally meant this?
I'm not sure how accurately you can talk about the...
Homework Statement
A uniform sphere rolls down a 30 degree incline θ from height h. Initially, the solid is at rest. Find the acceleration for the center of the mass of the solid.
I am not sure where to start with this problem. I started with the energy formulas, but I am not sure how to find...
One dimensional motion-- object accelerating straight downwards
Homework Statement
A rocket, initially at rest, is fired at "t = 0" vertically down from a building of height "H". The rocket's acceleration, including the effects of gravity, is downwards with increasing magnitude given by a(t)...
Hi does anyone know where I can find a video that shows what one would see if one went on a relativistic journey from Earth, accelerating at 1g to a distant star?
I have some idea for example length contraction when looking perpendicular from the direction of travel, and things in front would...