The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector. If there is a change in speed, direction or both, then the object has a changing velocity and is said to be undergoing an acceleration.
The answers were
1) 150 km/h
2) 200 km/h
3 )500 km/h
4) 700 km/h
5) 800 km/h (Chosen Solution)
I know that values 700km/h ,100km/h ,-100km/h are possible scenarios but in what ways are 150km/h ,200km/h and 500km/h possible ?
referring to the image
in fig 1 there is a rail carriage subject to an unknown velocity vector Vu (velocity unknown). Vu has a constant velocity Vu in the direction as shown. In the ceiling of the carriage is a light shown in blue and a columnator on the floor.
The rail carriage is sitting on...
Pretending the siren is at rest in air:
Wavelength = velocity/frequence --> (343 m/s) / 10,000 Hz = .0343m.
I don't believe this is the correct way to go about solving the problem, since the vehicle is moving at the start and the siren is not at rest.
Summary: I am looking to determine the velocity of a the gust of air normal to a falling object. Say if you to be standing next to an open frame building with a flat roof then take away all the columns and let the roof free fall. What kind of wind velocity would you experience.
I am looking to...
Figure given in question-:
I first found out the time when force will be equal ro friction.After force becomes equal to friction there will be no acceleartion further,so velocity after that time will be same.I calculated the velocity by getting a relation of it with time.I got the velocity as...
Hubble's Law and Star Velocity
By using Hubble's law and the principle of velocity superposition of relativity, we can deduce when the distance of star from the observation point is (photometric distance)r, its velocity V can be expressed as:
V = Csin (Hr/C)
Therefore, the...
In an accelerator when you're pushing/pulling a charged particle with a field that travels at the speed of light why should we expect to the particle to exceed the speed of light.
so I have this problem from olympiad
the maximum value of the satellite velocity component parallel to the high axis of the ellipse(a)
and the answer should be vmax=a/b*sqrt(G*M/a). How to prove this?
So here is what is going on in my mind:
We have a turn that is 400m away from the center of the turn. The faster the car goes, the harder it is for it to maintain its radius.
We have a component of the normal force that points towards the center, and static friction which does the same.
I...
I need some clarification on how the Higgs field work. The popular science explanation explains the effect on moving particles the way an object would be impacted by moving through a medium of maple syrup. I understand this is a very bad, inaccurate analogy. What I want to understand is does...
Here's the given F-t graph
My Attempt...
Fsmax=10N & Fk= 5N
I made equatiom F=5t-5 ( by seeing Force force and Counteracting kinetic friction)
reduced the formula to a=(5t-t)/2 wrote a=dv/dt and solved it but got wrong answer.
I want to make a small mechanical calculator with no electric parts, nothing too advanced but a few binary gates capable of some basic functions.
All the examples I were able to find were amazing but were still dependent on electricity to drive the mechanism. One possibility is a spring but I...
A ballistics-esque question. Suppose we are driving at ##x \text{ m/s}## and we have to suddenly brake. For students in driving schools they are told something along the lines of "during the braking, the body experiences ##y \text{ kg}## of force" or "the mass of the body is much higher than at...
When only force acting on body is a central force, angular momentum is constant and given by:
L = mr^2 * w
where r is distance from origin, and w is angular velocity.
Angular momentum can also be written as following:
L = r x mv = rmv * sin(theta) where v is tangential velocity, which is...
So I am almost sure I know how to solve this, just curious about the maximum velocity. Anyway, if you could double check my calculations, here it is.
##T = \frac{t}{n} = \frac{10s}{15} = \frac{2}{3}s##
##\omega = \frac{2\pi}{T} = 2\pi \frac{3}{2} = 3\pi##
a). position at ##t = 0.8s##...
Problem Statement: 1.I'm asked to find the northerly and easterly velocity of kite skier. the skier is moving 25 ms^1 in the N 25degrre E direction.
2. Wind from the west makes the skier accelerate to the east at 2.0ms^1 for 1.8s CAlculate the new velocity.
3. Use the answer from (1) to...
I am new to Simulink and I wanted to start practicing using a spring mass damper system. My first tutorial was this:
Later, I wanted to model a spring system where a mass moving at a known velocity hits the spring. The governing equation and a similar modeling method given in the previous...
My approach:
Let us take two orthogonal axes: x, parallel to the racket's plane and y, perpendicular to it. For the ball to not spin, the components of initial velocities of the racket and the ball along x-axis must be same. Also, as the line of collision is along the normal to the racket's...
Hi all, I have a problem that I've been grappling with for the past 2 hours.
I was confident at first that I found the correct solution, but when I tried to verify I didn't have a constant in my v(x) function.
Here is my attempt:
I appreciate your help kind internet strangers!
In the attached fig 1 you have a moving frame of reference (MFR) moving in the direction V at velocity V
Looking from above in the MFR there are 2 identical train carriages (car 1 and car 2), Car 1 is on a long set of tracks. Car 2 cannot move but is on train tracks.
There are also 2 Identical...
Edit: I see this was discussed in the related thread sorry for a repost.
If acceleration causes a change in velocity, and jerk causes a change in acceleration, snap causes a change in jerk, crackle causes a change in snap, pop causes a change in crackle, stop causes a change in pop, drop causes...
Problem Statement: The motorcycle is traveling at 40 m/s when it is at A. If the speed is then decreased at v'=-(0.05s)m/s^2, where s is in meters measured from A, determine its speed and acceleration when it reaches B. I attached a picture of the problem.
Relevant Equations: S = S_0 + v_0(t)...
I have came across a term "coherence length of velocity field ##\lambda## ",tried to search in the internet but doesn't find any result...will anyone please give a brief summary of this in this context..
Step 1. Integrate the function --> it comes out to -1.8t3+t2-8t+c
Step 2. Figure out the integration constant --> I know that the velocity of the car is 30m/s at t=0s so making 30m/s = -1.8(0s)3+(0s)2-8(0s)+C it would seem that C is 30m/s
Step 3. Calculate velocity at 4s --> V(4s)=...
Hi, a newbie to the site and hoping someone can help. Its been a long time since I studied physics or math at school.
I am having some difficulty calculating the angular velocity of the arm trhough a partial movement (phase). The data set I have separates the angular velocity into the three...
I calculated that the velocity of the head prior to the collision is sqrt(2gh), as all of the gravitational potential energy is converted to kinetic energy.
And I believe the velocity at point A after the collision is given by the formula vf=e•sqrt(2gh), with e representing the coefficient of...
(a)
My question :
Are all the formulas correct?
If so I can write ##v_{rms}## in form (2) and compare that result with the other velocities to get the answer (rms > average > most probable)
T1 + V1 = T2 + V2
0 + mAgh = 0.5mAV2A1 + 0
40 = (5/32.2)VA2
VA1 = 16.0499 ft/s
Edit: Accidentally Used two notations for Kinetic Energy in the "Useful equations" section. Changed it to correctly notate Kinetic and Potential. This notation is used in R.C. Hibbeler Dynamics 14th Ed.
(i) A rotating machine shaft turns through 2100 revolutions in 3 minutes. Determine the average angular velocity, w, of the machine shaft in rad/s.
the answer for this is
2100 x 2 pie = 4200 pie radian
3 mins = 180 seconds
4200 / 180 = 73.3 rad/s
(ii) Determine the area and arc length of the...
Unable to understand why this is the case?
Also, if it were in two dimensions then I am guessing the same would apply, only the 'x-co-ordinates' and 'y-coordinates' would add up separately?
Lastly, does the same hold for acceleration.
I am aware that this is a trivial question, many books...
I don't understand what I am supposed to do. I know how to find the acceleration of the system, but I am not sure how to find the com acceleration. My guess would be something along the lines of xcom = (m1a1*x + m2a2*x)/(m1a1 +m2a2). Then do the same for the y axis. Then to find the velocity all...
The graph provided is below. The problem asks for the speed of the wave at 0.12s. I used the formula v=w*xmax*cos(wt), provided in our textbook where xmax is the amplitude of 2 cm, w (omega) is 2pi divided by the period of 0.2. However, for some reason this formula doesn't give me the correct...
This time, i have a question that came to my mind a few days ago. There is an ideal nozzle having inlet to throat ratio of 8:1. Air will enter the nozzle at around 84 m/s velocity. it can be easily understood that the velocity will become sonic much ahead of the throat. And I am wondering what...
Summary: I've posted this in a few forums but still confused on this problem. If the plane is moving at 200km/h and the wind pushes the plane with a velocity of 85km/h, then the resultant velocity would be 217km/h, and using sine inverse, 217.sin(theta=85, I got 23°, which is B, but the answer...
So first I tried to use KE=1/2 x m x v^2 but then realized I didn’t have the velocity and I can’t figure out a way to obtain it. I then tried to work out the energy using a different equation, W= q x v but that left me with 1.28x10^-14 J which seemed too small.
I also then have to calculate the...
hi, so I've been trying to find the initial velocity of this projectile; but i ended up getting a negative value for seconds squared. I've gone over my solution multiple times but don't see where i went wrong. alternatively, was i supposed to take the absolute value of seconds squared?
thanks...
Summary: Constant Velocity between two connecting shafts?
Many mechanical machines have a requirement for two shafts to be joined. Explain the requirements for constant velocity ratio between the two shafts?
I think this is to do with the requirement for continual acceleration and direction...
Me and a Partner are presenting the physics of diving as our final in physics. He wants a ton of detail about the activity we choose so I thought it would be a good idea to show the difference from a cannonball vs a normal dive and the change in velocity that occurs with both, and also how much...
I am aware of the equation of the velocity of a forced vortex, which is simply ## v = r\omega ##. However, the velocity for a free vortex is ## v = \frac{c}{r} ## (## c ## is the 'circulation constant', ## r ## is the radius, ## v ## is the velocity and ## \omega ## is the angular velocity). I...
For the attempt at a solution view the Excel screenshots (1).
A screenshot with all the lengths is provided (2).
The 4-linkage system is shown in screenshot (3).
The problem is shown in screenshot (4).
A screenshot from the whole assembly is also provided to add some insights (5).
Thanks...
Why ##\frac{\partial (0.5*m*\dot{x}^2-m*g*x)}{\partial x}=-mg##? why ##\frac{\partial \dot{x}}{\partial x}=0##?
Why ##\frac{\partial (0.5*m*\dot{x}^2-m*g*x)}{\partial \dot{x}}=m*\dot{x}## ? why ##\frac{\partial x}{\partial \dot{x}}=0##?
Does it assume that speed is same at every location?
I...