In everyday use and in kinematics, the speed (commonly referred to as v) of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity. The average speed of an object in an interval of time is the distance travelled by the object divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
Speed has the dimensions of distance divided by time. The SI unit of speed is the metre per second (m/s), but the most common unit of speed in everyday usage is the kilometre per hour (km/h) or, in the US and the UK, miles per hour (mph). For air and marine travel the knot is commonly used.
The fastest possible speed at which energy or information can travel, according to special relativity, is the speed of light in a vacuum c = 299792458 metres per second (approximately 1079000000 km/h or 671000000 mph). Matter cannot quite reach the speed of light, as this would require an infinite amount of energy. In relativity physics, the concept of rapidity replaces the classical idea of speed.
**My Attempt:** Here, I considered for 2 kg mass the resultant motion is zero, which means it's acceleration (a) would be zero. So, if we consider the Tension force from the 1.5 kg mass to keep 2 kg mass from falling is L, then 2×9.8-L=ma=2× 0 ⇒ L=19.6 N. But where does the tension force from...
a. To find the speed, I need to find the height where the cords first become loose, which is when the cord is 25 m long.
$$h=30-\sqrt{25^2 - 5^2}$$
But the teacher's working is ##h=30-\sqrt{25^2 - 4^2}##
How to get 4?
b. My idea is to use Newton's 2nd law so I draw free body diagram of the...
I have several confusion about this question:
1) Since the sand spilling out downwards, it means that there is change in momentum in vertical direction (before the sand spills and after the sand spills) but no change in momentum in horizontal direction so no net force in horizontal direction...
Hey dear physics community :)
I ask myself what exactly happens to forces between materia when the materia hits near lightspeed.
I know, that for an objective bystander watching let's say elon in his rocket with 99,99999% the speed of light, that the time goes slower, the mass of the rocket...
I have no problem in following the literature on this, i find it pretty easy. My concern is on the derived function, i think the textbook is wrong, it ought to be,
##S^{'}(t)##=##\frac {4t} {\sqrt{1+4t^2}}=0## is this correct? if so then i guess i have to look for a different textbook to use...
Though average speed over a finite interval of time is greater or equal to the magnitude of the average velocity, Instantaneous speed at an instant is equal to the magnitude of the instantaneous velocity at that instant. Why so?
To an average person with high school math knowledge how would you explain in a few words why no object could travel faster than the speed of light ?
Well it's because...
Derek Muller is the Veritasium YouTube channel host and he had a wager against UCLA professor Alexander Kusenko on whether a unpowered car going downwind can go faster than the wind.
Derek Muller said it can go faster than the wind, while Alexander Kusenko said it only seems that way because...
Summary:: Question: a car of mass 800kg, 3600N driving force experiences resistive forces of 120v Accelerates from rest. Form equation and show max speed is 30 ms^-1, assuming driving force does not change.
my attempt at a solution -I can not see how to rectify it as I don’t think I did...
I would like to know how to calculate, for any specified frequency in Hz, the required diameter of a 90 degree phased, quadrature coil array such that its generated EM field achieves rotation at the speed of light.
Could someone please provide an example of the calculation using a specific...
I was discussing stepper motors with a friend. We touched upon different aspects. I showed how the coils in the motor have a limit to how fast they can be fully saturated with current, and how this time can be calculated by the aid of Kirchhoff's and Lentz's law. The theoretical speed calculated...
In competitive rowing, the more people in a boat, the faster it goes, but what is the ratio of additional human to speed, and what is the theoretical limit?
If I could fabricate a boat where each additional person added 100kilos, 100watts of power, and 1 meter of length to the wetted surface...
Hi Everyone,
What is the difference between "Rated speed nC(1/min)" and "output speed" in servo motors.
At the same time While "rated motor speed" is 1405(1/min) in gearbox catalogue, Rated speed is 3000 (1/min) in servo motor catalogue for the same gearbox.
If someone has a knowledge about...
Based on Maxwell's Law, the speed of light can be defined by:
$$c= \frac{1}{\sqrt{\epsilon_{0}\mu_{0}}}$$
Based on that, can we find a medium where a mechanical wave travels faster than a electromagnetic one? If so, how does that works?
Diameter of metallic ball : 3.000 inches
SG of ball is : 2
ID of pipe is : 4.05 inches
ID of seat : 2.885 inches
Pressure behind ball when released from seat #1 is 1100 psi
Fluid in pipe is Seawater (above and below the ball)
Fluid flow rate after ball is released is 800 litres pr minute
The...
So recently I watched a video detailing how it is impossible to measure the speed of light in a straight line because it's not possible to synchronize two-time measuring devices without first knowing the speed of light.
But I was thinking if light can orbit a black hole in the photon sphere...
Someone asked a really interesting question on a comment thread somewhere's, and ever since, I could never really stop thinking about what the proper answer to it could be. It's a really basic question, but it unpacks a can of worms.
The exact question I read was the following
This question...
The question I'm in doubt about is
The motor coil has a resistance of 10 Ω and is powered by a voltage of 120 V. When the motor is operating at rated speed, its emf is 70 V. Thus, it is questioned:
a) What is the coil current when the motor is started?
b) What is the coil current at rated...
Hi so to those of you who don't know the problem here is a video that explains it very well. -
I have an idea on how to measure it, can someone please tell me if, and why it is incorrect. Thank you!
Okay so we will have a timer, and a lot of mirrors, set up in a circle, a light beam is fired...
Homework Statement:: I'm trying to figure out what miles per hour setting I need to use to simulate a pitched baseball traveling 50 miles per hour from a distance of 46 feet. I need to know the equivalent speed setting on a pitching machine to simulate the same speed at a distance of 36 feet...
In a block of metal, each metal has a characteristic speed of sound. When metal is under tension, such as a guitar string, the speed rises as the tension increases. How does the speed vary (in a block say) as a function of tension along each of the three axes? I am assuming that transverse...
A bird is flying at an altitude of 10m above you, his angular position from your point of view is changing at 0.5 rad · s^-1. How fast is the bird flying when he is directly above you?
Can someone give a meaningful explanation that the relative speed of two oppositely directed light beams is why only one light speeds?
I understand that based on the Einstein relativity theory, the relative speed of two beams is C, because nothing can be quicker than light speed. However it is...
Assuming the position x = 0 if no air gap, max stroke of plunger is L.
Bordery conditions: x(t=0) = L, x(t=T)= 0.
Given magnetic force F(x) = kx(t)^-2, here k is constant.
If uncontrolled, there is big crash noise afer solenoid actuated, so I wish it pull plunger at constant power.
Help me find...
What is the best recent experimental evidence for effective mass increase (momentum/velocity) with speed, with experimental details? Searching the web all I find is either very old ones (early 1900s). Or vague generalized statements like (Wikipedia) "Many additional experiments concerning the...
I've having trouble understanding a derivation of the speed of sound waves, which is actually similar to another derivation I found a couple days ago.
Let's suppose the sound is moving through water in a long cylindrical horizontal pipe. The premises of the derivation are
1.) For a given...
We know linear spring force F = kx(t), k = spring constant, during any moment t of energy release.
displacement x(t) = ʃv(t)dt
the power p = F*V = kx(t)v(t)= kv(t)* ʃv(t)dt
My question:
Is there a mathematical function of special v(t) to make power p constant?
[Mentors' note: This question was orginally assumed a train traveling at the speed of light. Further discussion shows that this assumption is not required for the question; any relativistic velocity is enought to raise the question. The post has been edited, changes in boldface, to reflect...
Let us consider the co-moving observer ##\mathscr{C}## for whom ##E = \epsilon## and ##\mathbf{\vec{V}} = \mathbf{\vec{0}}##. Doing the perturbation stuff to the first of the relevant equations gives$$\partial_t \delta \epsilon + \boldsymbol{\nabla} \cdot ([\epsilon + p] \delta \mathbf{\vec{V}})...
I solved this problem easily using Newton's second law, but I had problems trying to use mechanical energy conservation to solve it.
How I solved using Newton's second law:
##\text{(part of the rope that is on the left)}\, m_1=x\rho g,\, \text{(part of the rope that is on the right)}\...
I thought the answer was no. I.e. the traveler's proper time always passes more slowly than a stationary observer's clock regardless of the traveler's direction with respect to the observer. I was watching Brian Greene's NOVA episode on time, however, and, at 23:15, he has a demonstration...
In this part of the lab we pushed a block on a flat table and let it slide until it stopped. So it is decelerating with no force being applied to it while moving. In this case acceleration is negative. The only force acting on it is kinetic friction. Therefore I have come up with the following...
A company called SpinLaunch claims it can get something to 2200 m/s by spinning it up on a carbon fiber composite arm. I'm trying to figure out the limit of that approach. How fast can you go with existing materials?
I tried to work it out for a constant with cable with no payload (result...
I need to calculate the overall uncertainty of the value I have obtained for the speed of sound in water, using Mackenzies equation... I am not sure in what way to combine the above uncertainties. Any help would be greatly appreciated!
Lloyd
John is walking at a constant speed in front of a motion sensor. After 1 s, she is 2.5m from the sensor, 2 s later, she is 4 m from the sensor.
a) Find an equation of in the form d=mt+b
b) Determine the slope and d intercept and explain what they mean
c) How far will John be from the sensor 5s...
It has been put to me that a simple spectroscope could in theory demonstrate the isotropy of the speed of light . By using a frequency standard (laser comb or Th Lamp for example) with the spectroscope in various orientations the lack of shift of the spectral lines would prove its isotropic via...
Chain length: 1400mm.
Pitch of the chain:12,7 mm
Diameter: Ø55 For z=12
Diameter: Ø71 For z=16
Diameter: Ø87 For z=20
Hello friends,
Can someone who has knowledge of how to calculate the speed transferred to the sprocket wheel can help in such systems with various gear numbers (z = 20, 16)...
Let me clarify my question, is there any experiment directly proved the invariance of light speed to observers? Let's not get to the argument of equivalence between source and observer.
SR was based on the postulate that the light speed is constant and independent of both the motions of source...
Yess! speed of light it's driving me crazy. I know it might sound too noob and silly but please enlighten me, First of all how does we concluded that speed of light is constant for every observer in all possible inertial frames of reference. Next thing how come a photon doesn't experience...
Is there a equation for the speed at the end of the whip.
is there a consistent way to calculate how fast the tip of the whip will be including constant velocity and trajectory or is it chaotic.
Im new to physics and had a thought that with enough legnth and power a wiphs end colud reach the...
1) Applying conservation of linear momentum:
$$m.u = M.V + m.v$$
where ##V## is final linear speed of the rod
$$V=\frac{m.u-m.v}{M}$$2) Applying formula of circular motion:
$$V=\omega . r$$
$$\omega = \frac{\left(\frac{mu-mv}{M} \right)}{\frac{1}{2}L-x}$$
Is this correct?And can this be...