Acceleration Definition and 1000 Threads

m1 = top left m2 = bottom left m3 = top right m4 = bottom right My questions: 1. Will all the object (m1, m2, m3,and m4) have same acceleration? 2. Should I assume initial extension of both spring is the same? (only based on the picture) 3. Will the extension of the spring change after the...

Hello! I am trying to solve for the velocity in terms of position of a particle moving with non-constant acceleration. a=c*t (where c is a constant) I can easily solve for velocity in terms of t. dv/dt=a dv/dt=c*t I differentiate and get v=1/2*c*t^2+v0 (where v(0)=v0) However I am not sure...

I did (0.9-0.1)/(1.5-0.5) = 0.8/1 --> 0.8 m/s^2 This doesn't look right to me. Is this actually correct or do I need to solve the problem a different way?

Multipart question: 1) How long would it take to travel to the moon from Earth at a constant 1 g acceleration? 2) How does fuel consumption work with constant 1 g acceleration or acceleration in general? I read that "it doesn't take a constant amount of energy to maintain a constant...

Taking upward direction as positive why will the acceleration be -9.8? Is it due to the curve of the graph?

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...

An elevator in outer space where there is negligible gravity, accelerates at the most precise constant acceleration that current technology enables. Inside that elevator, resides an accelerometer that is the most precise accelerometer that current technology enables, but not more precise than...

Hi. I am looking for some references of acceleration frame in SR, such as an accelerating rocket problem. I have some equations regarding the time, distance, velocity measured in the Earth frame, etc. But the reference I have does not provide the derivation of those equations, so I need some...

Normal acceleration is equivalent to a uniform gravitational field throughout all of space. Thus, if I am normally accelerating, I should observe an event horizon shifted as compared to a non-accelerating observer. Is this correct?

Let ##μ_k## = 0.5 ##F_a## = 10 Newtons ##\theta## is the angel of the Applied force. How will the acceleration of the block change if the angle of the applied force is increase by ##5^o##? Write Increase, Decrease or Stay the same. Recently we were discussing a question similar to this in...

Given such a diagram as shown above, we know that the normal force must be mg/sintheta. How is this normal force greater than the gravitational force conceptually? Is it due to the horizontal traveling (which must have been started by someone exerting a force?) compressing the sides of the cone...

(1) Uniformly moving frames I begin with a drawing of the situation. The events are labelled as ##\color{red}{E_1}## and ##\color{red}{E_2}##. We note the time of those events : ##t_1 = t'_1 = 30s## and ##t_2 = t_2' = 30+60 = 90s##. I attempt the problem in two different ways. (a) By...

I have some troubles with this relatively simple problem My idea was to find the acceleration by F = ma and then integrate the graph and then find the velocity to t = 10 s + start velocity The graph will be - 2x And integrated -x¨^2 But this seems wrong Thanks in regards

Say that we have an instance where something falls down from a certain height with constant acceleration g. We know that the average speed with regards to the time period is less than (u+v)/2 since we spend less time at the higher speeds. How do we actually calculate the average speed over a...

I am not sure about my free body diagram. I assume the cylinder rolls without slipping so the forces acting on the cylinder are: Weight directed vertically downwards Normal force directed perpendicular to the plane friction directed upwards, parallel to the plane Am I correct till this point...

First and foremost, thank you so much for your help! I'm new to Physics Forums, and this is my first post. I thought I understood the problem, but as I moved on to the subsequent parts of it became apparent that I was missing something. I set up my ##F = ma## equation as below, and solved that...

a) ##a_y=\dfrac{\sum{F_y}}{m}=\dfrac{N-mg\cos{\alpha}}{m}=(1-\cos{\alpha})g## ##a_x=\dfrac{\sum{F_x}}{m}=\dfrac{mg\sin{\alpha}}{m}=g\sin{\alpha}## ##a_y=(1-0,866)9,81\;m/s^2=1,31\;m/s^2## ##a_x=(0,5)9,81\;m/s^2=4,91\;m/s^2## How can it be a perpendicular acceleration?; which coordinate system am...

Torque=225 Ncm Torque=α*0.35 kg.cm² α=225Ncm/0.35kg.cm² =225 kg.m/s²*cm/0.35kg.cm² =225*100/.35s² =64285.7/s² but the answer is wrong

Bob is standing on Earth and Alice is on a distant planet at a constant distance from Earth. Their watches are already synchronized in the following sense: Suppose Alice's planet is a light-year away from Earth. Bob emits a light signal to Alice at time t = 0 according to Bob's watch. When Alice...

I was watching the above video which is part of a series explaining the mechanics behind a gyroscope. In the video the author explains the mechanics of the gyroscope when stationary (the disc is not rotating). Here he derives a result that the angular acceleration is g/r which is non zero...

In the example above, the authors claim that when ##r=r_0e^{\beta t}##, the radial acceleration of the particle is 0. I don't quite understand it because they did not assume ##\beta=\pm \omega##. Can anyone please explain it to me? Many thanks.

Basically I just want to work out a constant acceleration problem in relativity, of the same kind of introductory physics. Vo= 0.9999c Vf = 0 D= 50 Au Accel, Earth frame? Accel, Ship frame? Time of transit, Earth frame? Time of transit, ship frame? Motion is 1-D. All origins line up at the...

##\vec r=r \hat r## ##\vec v=\dot r \hat r + r \dot \theta \hat \theta## ##\vec a = (\ddot r - r \dot \theta^2)\hat r + (2 \dot r \dot \theta + r \ddot \theta)\hat \theta## Given that, ##2 \dot r \dot \theta + r \ddot \theta =0## Also, ##r \theta=constant## ##\Rightarrow \dot r \theta + r \dot...

In order to find force( and hence the Acceleration) on the Pentagonal plate,we must find the Resistance of the plate.But to find the resistance we must know how the current is flowing through the given plate(see attached figure). My question is how is the current flowing through the Pentagonal...

vavg=(Vi+Vf)/2 vavg=h/t then vavg*t=h h=(Vi+Vf)/2 * t Vf=at (Vit+at2)*1/2=h But formula on every resource I found says it should be; (Vit+at2*1/2)=h What mistake did I do ?

I initially attempted to get the answer by multiplying the mass by 50, as I assumed if the upward acceleration was 5g then the weight could be found by just multiplying the mass by the acceleration of 50ms^-2. However that resulted in an answer of 3750 which was far below the correct answer of...

Say... A ball is moving to the right, and we want to say that it doesn't slip. My doubt is, in which case we put Vrot = - Vcm = - α*r or Vrot = Vcm = α * r

I´m currently studying Newtons 2nd law and I don't get how can force only depend on mass and acceleration and not on velocity.. I mean, if I punch something with my fist going at constant velocity ( acceleration=0) it stills has a force right?

I know the acceleration of the rock is equal to g, but why. If we neglect air resistance, what is actually making the rock fall? Wouldn't it be that g overcomes the acceleration of the y plane at some point so the rock starts coming down or in this case accelerate more by throwing below 0 degrees?

Okay, here is a question I just can't solve. The 120W motor starts to lift a load of 20 kg. During which time, this load will reach a speed of 0.5 m / s, taking into account the potential energy. PS: Ignore losses in the mechanism!

1. When calculating a car's acceleration, is it ok to substitute Torque into a= F/ma= F/m T= FrF= T/rwhere a= acceleration, F= force, m= mass, T= Torque, r= radius,a= T/rm ?

[Mentor Note -- OP deleted his posts after receiving help. His posts are restored below] @ocean1234 -- Check your messages. Deleting your post is not allowed here, and is considered cheating. Problem was given: ##\theta(t) = at - bt^2 + ct^4## a) calculate ##\omega(t)## b) calculate...

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...

Hi, I am building a drone for a school project and I am also looking into how it flies. Recently I have been looking into angular momentum, torque, moment of inertia and angular acceleration. However I am struggling to understand moment of inertia and angular acceleration. If possible please...

Hey guys, Theres something I've been confused about when looking at circular motion. When does an object have just centripetal acceleration as the acceleration of the object, if ever. I think that the acceleration vector is between the centripetal and tangential acceleration when an objects...

Centripetal force is defined as the force causing the body to follow a curved path, acting towards the center and always orthogonal to the direction of motion. For uniform circular motion the formula for centripetal acceleration is $$a_c = \frac{v^2}{r}$$. But my understanding of centripetal...

I don't understand the problem. Does not block A and B make a system, so they should have the same velocity and acceleration at all time? If not, why do they have different accelerations? I don't understand this part of the problem either: "pull applied to block B equals 12.0 N, then block B has...

1. ρmars atmosphere = 0.02 kgm^-3 volume of a sphere = 4 / 3 𝜋 𝑟^3 gmars = 3.8 ms^-2 So: Volume of a hemisphere=2/3 𝜋 𝑟^3 r=7.75 m Archimedes' principle states that the upthrust on an object is equal to the weight of fluid that the body displaces To find the upthrust produced...

Hey all, I need a reality check and verification on some work I have been doing. I feel as though I might be too close to the problem now and am missing something about this. It's also been a few years since I studied physics at University, so I'm a little rusty. Problem: An initially...

$\tiny{299}$ For $t \ge 0$ the position of a particle moving along the x-axis is given by $v(t)=\sin t—\cos t$ What is the acceleration of the particle at the point where the velocity is first equal to 0? $a. \sqrt{2}$ $b. \, —1$ $c. \, 0$ $d. \, 1$ $e. —\sqrt{2}$Ok well originally it was...

I have searched the forum a bit but could not find a discussion of this Astrophysics letter: 'Evidence for anisotropy of cosmic acceleration', Jacques Colin et. al, 18 Oct 2019. Can someone please direct me to any forum discussion?

In this experiment, I still can't figure out why the graph between time period and distance from point of oscillation is like that. Why does it first decrease and increase so steeply? I got the second part because it goes near the centre of gravity and time period becomes almost infinite there...

I have solved part a using the conservation of energy, getting a (correct) answer of 47.9 km/h, but I am unable to make headway with part b. Based on the flywheel rotating at 237rev/s when the car is moving at 86.5 km/h, I obtained omega = (237*2pi)v/24=62v. Differentiating both sides should...

Now, if I recall correctly, lighter objects with smaller inertia do go faster in terms of acceleration and farther than objects with heavier mass or inertia when the same force is exerted on them. But what about same accelerations? If a light object and a heavy object were to undergo the same...

for example take a look on this graph

I solved this problem using second Newton law for translational motion and the same law for rotational motion, and got $$a= \frac {F} {m+ \frac {I} {R^{2}}} (cosϕ−rR)$$ where m is spool mass. Now, we have three cases: (a) ##cos\phi>\frac{r}{R}##, when spool is accelerating to the right, (b)...

This is what I've done so far:

Here's my calculations for (a) and (b)

Let me preface this by saying I have no background in physics or any of the above other than hours and hours of reading. Could someone explain why (if a method was developed) we couldn't use EFA as a thrust system for a rocket? My reasoning is instead of using fuel to fight gravity and push...