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
The problem asks for the tangential and normal acceleration of the acceleration. We were given that:
$$a_x=c*cos[d*t]$$ and $$a_y=c*sin[d*t]$$ where c and d are constants.
Homework Equations
The book gives us
$$a_t=(r\ddot{\theta}+2\dot{r}\dot{\theta})$$, (1)...
I would be very grateful for help with deriving the following equation...
"A smooth fixed plane is inclined at 30 degrees to the horizontal. A wedge of mass M and angle 30 degrees is held on the surface so that its upper face is horizontal, and a particle of mass m rests on this face. The...
Homework Statement
"The fastest measured pitched baseball left the pitcher's hand at the speed of 45 m/s. If the pitcher was in contact with the ball over a distance of 1.50m and produced constant acceleration, (a) what acceleration did he give the ball, and (b) how much time did it take him to...
This question came to mind from the thread...
https://www.physicsforums.com/threads/can-a-photon-be-accelerated.901484/
Knowing...
1) Strong gravitational fields create strong curves in spacetime
2) Light traveling through strong gravitational fields get curved along the spacetime
3)...
1. A ship is launched into the water down a ramp making an angle of 8 degrees with the horizontal. The coefficient of kinetic friction between the bottom of the ship and the ramp is μk=0.06. What is the acceleration of the ship down the ramp?2. I know that the equation to solve this is
a =...
I find it beyond me to understand all of this paper, only that cosmic acceleration is not slowing down, which is IRC against a lot theories. Bouncing universe for one, and a guaranteed heat death. That is if the U does not slow in the near future.
https://arxiv.org/abs/1701.04973
The possible...
Homework Statement
A stone is dropped from the top of a tall building. It accelerates at a rate of 9.81m/s^2. How long will the stone take to pass a window that is 2.0m high, if the top of the window is 20.0m below the point from which the stone was dropped?
I've already solved the initial...
Homework Statement
A ball of mass m is given an initial velocity ⃗v and entered into a funnel. Model the acceleration of the ball over a period of time.
Note: I don't have a full problem statement because this isn't really a homework question (but I figured it was homework-like enough to post...
Homework Statement
A man was driving a car at 78 km/h, he saw a deer at the distance of 101m, how much time is needed so that the car slows down after it drove 99m and stops.
Homework Equations
Δx = 1/2 (vi + vf) * t
The Attempt at a Solution
I'm thinking about finding the Δx
Homework Statement
[/B]
A thin, uniform, 3.8kg bar, 80cm long has two 2.5 kg balls glued on at either end. It is supported horizontally by a thin, horizontal, frictionless axle passing through its centers and perpendicular to the bar. Suddenly the right hand ball becomes detached and falls off...
Homework Statement
Homework EquationsThe Attempt at a Solution
Since at N the gravity is now heading down towards the person in a positive direction it's acceleration is G, where as velocity goes up then comes down towards the person so it's velocity is now negative, thus -V, but the correct...
Homework Statement
##m=1[kg]##, ##M=5[kg]##, ##u=0.6##
Calculate the minimum force required for the blocks to remain in the same position thourought the motion. For the part a) there is no friction between block 2 and the floor, for the part b there is and its ##u_f##
Homework Equations
3...
Homework Statement
Homework Equations
F=ma
The Attempt at a Solution
I know it's either B or D
Weight = mg so let's say mass of ball is 11kg and gravity on moon is 6, so weight would be 66N
since acceleration a = F/m and we can say that F=mg
therefore a = mg / m which leaves: a=g
and...
Firstly I must say if this is in a wrong sub-forum I apologise. This is my first post and I'm new to the website so please bare with me. Also I was unsure of the Prefix so I again apologise if that to, was incorrect.
But my Question is that is the acceleration (or deceleration) of an object...
Homework Statement
A bascketball player , who has a weight of 890 N , jumps vertically with a height of 1.2 m ,
1- Find his speed when he left the floor.
2- If the time that takes the basketball player to quit the floor is 0.3 s, what is his average acceleration ?
(I don't understand this...
Homework Statement
A 12 kg meteor experiences an acceleration of 7.2 m/s2, when falling towards the earth.
a) How high above the earth’s surface is the meteor?
1.06x10^6
b) What force will a 30 kg meteor experience at the same altitude?
216 NHomework Equations
I was comparing...
Homework Statement
A record player rotates normally at a rate of 18 rev/m.
It takes 70 seconds for it to slow down to a stop when you turn it off.
Homework Equations
Calculate the magnitude of its angular acceleration.
The Attempt at a Solution
answer key says the correct answer should be...
Homework Statement
Two bodies are standing still upon a surface without friction. The mass of body 1 is bigger than the mass of body 2.
i) A constant force is applied to body 1, so it accelerates in a segment to a distance d. The force stops being applied to body 1, and is applied to body 2...
I am coding a game in which I desire a projectile to undergo realistic curving when rotating while moving through the air. Let's consider the instance of a projectile that is initially moving forward while spinning clockwise along an axis placed vertically in it is center of mass. The object...
Homework Statement
For the mechanism shown, determine the speed and magnitude of the acceleration of collar C in terms of b, θ, θ-dot, and θ-dot-dot.
Check the attached file for the diagram.
We are given the length b and angle θ.
Homework Equations
ΣF=ma
The Attempt at a Solution
I...
For Q11(b), what is the relation between the angular acceleration ##\alpha## of the bottom right cylinder and its horizontal acceleration ##a_x##?
I get ##\alpha=\frac{a_x}{\sqrt{3}R}##, which is half the given answer (7.84) below.
After the bottom right cylinder rolls around the top cylinder...
hello, I'm new here
according to this scheme:
i would to know, if the pressure is constant, the spring displacement in the moving part in function of time.
the square is without mass, so i thought to use the energy approach, but i don't know how to consider acceleration
Homework Statement
To lower himself from a balcony an 80kg stuntman grabs a rope connected to a 400kg cylinder with a 1.2m diameter that is free to rotate about its axis of symmetry. What is the stuntman's acceleration as he falls?
Homework Equations
I missed this on a homework assignment. I...
Homework Statement :[/B]
A mass is moving with constant acceleration in the x-y plane. At time t = 0s the mass’s position is 2mˆı+3mjˆ, the mass’s velocity is 3 m/s ˆı −4 m / s jˆ and the mass is subject to an acceleration of 1 m/ s ^2 ˆı + 1 m/ s^ 2 i jˆ.
At what time is the velocity...
Hi,
There is a mass that sits on a bridge between 2 parallel actuator (2 axis gantry), and slides on linear guides. If the mass is not centred, and close to one side of the drives, would that require that 1 of the actuators to put out more force? or would it always be even?
I figure you might...
Homework Statement
This is not a particular problem but a generic one. If one has acceleration stated in terms of velocity (or position) such as a=v, how do we convert these values into time?
Homework Equations
ads=vdv
ad(theta)=wdw
And of course, the usual time-based derivative relations...
Homework Statement
A particle flies along in the positive +x direction. It has a constant force F applied 30º clockwise to the x-axis.
It is moving at .6 c. What is the angle of acceleration?
Homework Equations
a = F/(mγ3)
The Attempt at a Solution
[/B]
I'm pretty sure I know how to do...
Homework Statement
A yo-yo consists of two cylinders with radius ##R##, mass ##M## and height ##H## connected by a smaller cylinder of radius ##r##, mass ##m## and height ##h##.
Determine the yo-yo's acceleration in ##z##-direction, using its moment of inertia.
Homework Equations
Moment of...
Homework Statement
The functions are given:
##r(t)=pe^{kt}##
##\theta (t)=kt##
##v(r)=\sqrt2kr##
##a(t)=2k^2r##
Find the radius of the curvature of the trajectory in the function of ##r##
Homework Equations
$$R=\frac{(\dot x^2 + \dot y^2)^{3/2}}{(\dot x\ddot y - \ddot x\dot y)}$$
There is also...
Homework Statement
A baseball is thrown straight up with a speed of 25 m/s. Determine:
(a) The maximum height reached by the ball
(b) How long it takes the ball to reach its maximum height
(c)The time it takes for the ball to reach a velocity of 5m/s (down)
(d) The speed of the ball when it...
Mods, I wasn't sure whether to put this in quantum physics or relativity, but since the speed of light is the limiting factor I chose here. Move wherever you think is best.
Okay so the speed of light is the asymptote for the speed that objects can accelerate to, and the Planck time is the...
Homework Statement
Find the acceleration of each object. Note: the question mark in the diagram should be θ (angle of inclined plane)
2. Homework Equations
τ = F . r
Στ = I . α
α = a / R
ΣF = m . aThe Attempt at a Solution
For object A:
ΣF = m . a
TA - WA sin θ = mA . aA
TA - mA . g. sin θ...
Homework Statement
An object is moving in a straight line with a constant acceleration. Its position is measured at three different times, as shown in the table below.
Time (s) | Position, (m)
48.40 | 9.100
49.80 | 17.479
51.20 | 32.816
Calculate the magnitude of the acceleration at t=49.80 s...
Homework Statement
To save fuel, some truck drivers try to maintain a constant speed when possible. A truck traveling at 28.0 km/hr approaches a car stopped at the red light. When the truck is 110.7 meters from the car the light turns green and the car immediately begins to accelerate at 3.8...
Homework Statement
m1 is on a frictionless surface and m2 is on a surface with a coefficient of friction of μ.
Find the acceleration of the blocks in terms of m1, m2, g, Ѳ, μ
Homework Equations
ΣF=a*m
The Attempt at a Solution
a=m2gsinѲ/m1+m2
is this correct??
I have a little doubt to get cleared.
Gravity of the Earth causes an acceleration of 9.8 m/s2 which increases the velocity of a body at free fall.
So for a very massive body like a black hole FOR INSTANCE, the acceleration due to gravity on a body will be very high, right? So if a body falls...
Used a mass attached to a dynamic cart via pulley to examine motion under variable acceleration. As the mass was increased, my calculated friction force shows a decrease. I know that friction should increase with larger mass. Any suggestions as to why my calculations show a decrease? Used the...
I am trying to determine what types of field theories have a Lagrangian that is symmetric under an Infinitesimal acceleration coordinate transformations.
Does an infinitesimal generator of acceleration exist?
How could I go about constructing this matrix?
Homework Statement
A(n) 895 N crate is being pushed across a level floor by a force of 397 N at an angle of 21◦ above the horizontal. The coefficient of kinetic friction between the crate and the floor is 0.24. The acceleration of gravity is 9.81 m/s.
What is the acceleration of the box...
Homework Statement
A 50.0-kg block is being pulled up a 16.0° slope by a force of 250 N that is parallel to the slope. The coefficient of kinetic friction between the block and the slope is 0.200. What is the acceleration of the block?
Homework Equations
Fk=μkN
F=MA
The Attempt at a...
The block 1 of m1 sheets of mass on an inclined plane without friction at an angle θ to the horizontal. One end of a non-extendable rope with no mass is attached to lock 1. The chain is wound around a non-frictionally mobile pulley P of negligible mass and is also connected to the wall at the...
Homework Statement
At a fair, Hank and Finn play with a horizontal 5.4 m long bar able to rotate about a pole going through its exact center. Hank pushes with 32 N at one end of the bar and Finn pushes with 18 N in the opposite direction at the other end. (Assume both forces are always...
Hi , I am trying to practice working with new exercises and I've met some problems.
Lifting object with mass of 2kg to height of 10m we do 240J mechanical work.
What is acceleration of lifting?
My calculations:
A=Fs=Fh
F=A/h = 240/10 = 24N
a= F/m = 24/2 = 12 m/s^2 , somehow it's not the right...
As I was driving I was wondering if there is way to know if the other cars on the road accelerating. I think that if I were traveling at a constant, then if the rate at which the distance my car and another car was changing was not constant, then the other car would be accelerating. But is there...
Homework Statement
[/B]
Which of the following is correct?
1. The acceleration of pulley B is g/11 downwards
2. The acc. of pulley C is g/11 upwards
3. Tension in string passing over pulley A is 12.46g N
4. Tension in string passing over pulley A is 10g N
Homework Equations
F=m.a[/B]The...
This example is written in several books, that is if you strike a ball against a wall it applies an action force on the wall and the reaction force from the wall is the reason for the ball bouncing back..Now i have a question here that when you throw the ball, you accelerate it upto some...
Homework Statement
I was in lab and we used a mass hanger and disk and plate attached to pulley to and a motion sensor to measure moment of inertia. Angular acceleration was recorded along with other values such as linear velocity and position and all that.
The question is:
the hanging mass...
Homework Statement
A coin is dropped into a well and the time taken to hit the bottom is 2.48 seconds. Calculate the mass of the coin if the water slows it to a stop in 0.72 seconds exerting an average force of 0.41N on the coin
Homework Equations
F=ma m=f/a
The Attempt at a Solution...