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.
Homework Statement
The lawn tractor in figure 18 goes up a hill at a constant velocity. Calculate the power that is developed by the tractor.
Mass: 120.0 kg
Angle of incline: 21 degrees
Distance: 12.0 m
Velocity: no velocity given other than it is constant
Time: idk
Homework Equations
None...
Homework Statement
The question and the known/given variables are on the image in part 3. The question says that a 20-g bead is attached to a light 120 cm-long string. Now in my mind the bead will travel in a circular path if it is pushed really hard. So Isn't the length of the string, 120 cm...
Homework Statement
The exercise is this: The mass of the car is m=500 kg. The maximum speed of the car on flat road is v1=35 m/s and on 10 % up hill (tan(alpha)=0.1, alpha is with respect to flat) the maximum speed is v2=20 m/s. The friction force is double on up hill because it has been made...
Homework Statement
What is the escape speed of an electron launched from the surface of a 1.0-cm-diameter glass sphere that has been charged to 10nC?
Homework Equations
Given:
d= 1.0cm
r= 0.05cm= 0.0005m
q1 = 10nC = 10 x 10-9 (sphere)
q2 = -1.6 x 10-19 (electron)
Equation:
U = (kq1q2)/r
KE=...
Homework Statement
A proton is released from rest at the positive plate of a parallel plate capacitor. It crosses the capacitor and reaches the negative plate with a speed of 50,000 m/s. What will be the final speed of an electron released from rest at the negative plate?
Homework Equations...
Homework Statement
A small but very powerful bar magnet falls from rest under gravity through the center of a horizontal ring of conducting wire, as shown in the figure below (on the left). The speed-versus-time graph, in arbitrary units, of the magnet will correspond most closely to which of...
Does centrifugal force generate in increase in overall speed? For example, if I am driving down a highway on-ramp which goes in a circular fashion, with my speed slowly increasing, does my overall speed increase because of the centrifugal force generated from the circular on-ramp? Is more force...
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$\textsf{The following equations each describe the motion of a particle.}$
$\textsf{ For which path is the particle's speed constant?}$
\begin{align*} \displaystyle
R_1(t)&= t^7\textbf{i}+t^4\textbf{j}\\
R_2(t)&= \cos(3t)\textbf{i}+\sin(8t)\textbf{j}\\
R_3(t)&=...
We are using VR technology for people with spinal cord injury ( incomplete so they can walk with assistance) for a study. They will be walking on a treadmill wearing an oculus. We have a question regarding relative speed since we are updating the software view based on that
if person A runs at 5...
Homework Statement
The spring in the figure (Figure 1) is compressed by length Δx. It launches the block across a frictionless surface with speed v0. The two springs in the figure (Figure 2) are identical to the spring of figure 1. They are compressed by the same length Δx and used to launch...
Homework Statement
The question is as follows: A 50kg ice skater is gliding along the ice, heading due north at 4.0m/s. The ice has a small coefficient of static friction, to prevent the skater from slipping sideways, but kinetic friction =0. Suddenly, a wind from the northeast exerts a force...
Hello!
I have been brushing up my Rigid Body Dynamics.
I tried computing the angular speed with respect the Center of Mass (CM) using the usual split of kinetic energy and also the split of Angular momentum using the CM.
First, a simple case: Two particles of mass M each separated by a distance...
Can anyone help me with a very basic question please.
Is it really not possible for anything to travel faster than the speed of light, as dictated by relativity theory ?
I am a complete beginner to Physics and only have very basic mathematics knowledge and I'm trying to understand the basics of...
This is something I haven't been able to wrap my head around yet.
In physics, I've always been told that gravity is a force that ALWAYS works between "objects" with mass. Now, it seems clear to me that if a feather and a hammer were to be dropped at the same time on Earth (without air...
I'm working on some decorative items made of copper. I'd like to have them achieve the brown color of an old copper penny (or the old copper pipes in my home). I've read you can do this with some chemicals, but due to size/shape I'd like to do this some other way. I'm also concerned that any...
Homework Statement
This is an example problem I found on khan academy and it didn't have an official problem statement... So I am going to have to make up my own problem statement from what was given. I can link the video if any of you want to see it.
A positive charge 4uC and a negative...
Say a super fast car is going car is going at twice the speed of sound, an there is an aircraft going at the same speed. Normally, maneuvering and controlling at high speeds (slowing down, speeding up, stopping and changing direction) is very hard. Now, I just want to make sure by asking, what...
Dear Everybody,
How to get started for this problem?
An Earth satellite has its apogee at 2,400 km above the surface of Earth and perigee at 750 km above the surface of Earth. At apogee its speed is 6,800 m/s. What is its speed at perigee (in m/s)? Earth's radius is 6,370 km (see the figure...
Earlier today, when I saw that Firefox was installing an update when I fired it up, I did my usual groaning facepalm and wondered what I might find broken this time. I've been a faithful Firefox user since 2004, shortly after it appeared on the market. But in recent years, my loyalty has been...
I may have a fundamental misunderstanding of the concept, but I was wondering, how does the accelerating expansion of the universe calculate for the time dilation in light travel?
From my understanding, we know that the universe expansion is accelerating because the farthest galaxies that we...
If two clocks start from the same point, and one travels double the speed of another, will they be showing the same time when they get together at the destination point.
Obviously, faster clock will arrive first, and will have to wait for the slower one to arrive.
Hello,
I have been looking at physics calculators, but cannot seem to find precisely what I need. I don't need a very precise answer, merely a realistic ballpark one.
I need to know how we find the rough speed of an object's movement when a certain amount of force is applied to it.
For...
Homework Statement
The power driving the railroad engine is switched off. The engine stops, from its speed of 16m/s^-1, without braking in a distance of 1.1km. A student hypothesis that the horizontal resistive force is constant. Based on the hypothesis, calculate the mass of the railway...
Homework Statement
This is a problem from the Cambridge Natural Science Admissions Assesment.
A student carries out an experiment to measure the speed of sound. A loudspeaker that emits sound in all directions is placed between two buildings that are 128 m apart as shown. The student and...
Hi all.
I am not a mechanical engineer but I've been working on an idea which consists of a linear shaft with Reciprocating motion.
Since the device only works with rather a high speed shaft, I wanted to know what are the speed restrictions of a linear shaft?
So let's give it some numbers.
The...
Homework Statement
An object of mass m=2 kg slides down on a track from a height of h = 10 m. The track is frictionless except the horizontal range between the points A and B. The friction force is constant between A and B. What is the speed of the object at point B if the magnitude of the...
Homework Statement
They stated in the problem that the radius is 6.3. Why did they multiply it by 10^3 during the calculation?
Homework Equations
It's in part 1 and 3.
The Attempt at a Solution
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Homework Statement
Three freight cars of equal mass are coupled together. The freight cars are traveling at 6.7m/s down a straight track when they collide with two more stationary identical cars. If all five cars are coupled together after the collision, then what is their speed if they are on...
I recall reading on this forum that a theorem had been proved to the effect that is there was a effective speed limit c in SR then there would only be one such limit for all relevant phenomena.
Is this true and if so can you point me at it as I don't seem to be able to formulate the question...
GW170817 showed that gamma rays came 2 seconds after gravitational waves. (after 130M years) Are these two seconds uncertainty at determination of difference of these speeds? Or is it possible to explain, why 2 seconds of difference, or is it possible to explain, at least, a part of this...
Suppose at the instant a gravitational wave passes through an interferometer, one of the interferometer's arm get stretched by 1%. Would the wavelength of the photon traveling in the arm also get stretched by 1%? If so, then would the frequency of the photon remain the same and hence increasing...
Homework Statement
The question wants us to find the velocity that the car can take without assistance from friction. The friction, in this case, is the normal friction, weight friction, and the static friction (pointing towards the right). I understand how it got ncos(15) - w = 0 for the y...
Let's say there are two objects. One is thrown directly downward at v0 and the other is thrown horizontally (90 degrees) at v0, both from height h. Which object will have a higher speed by the time they hit the ground? Would they have the same speed?
For the object thrown downward...
h = (vf2 -...
Homework Statement
Two cars are 1.4 km apart and driving towards each other. One car starts from rest and accelerates uniformly at 1.2 m/s^2. The other car is driving at a constant speed of 18 m/s. When will the cars meet?
Homework Equations
d=vt
d=ut + 1/2at^2
d=vt-1/2at^2
v^2 = u^2 + 2ad...
Homework Statement
A 0.14-km wide river flows with a uniform speed of 4.0 m/s toward the east. It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank. What is the speed of the boat relative to the water?
I'm mostly concerned about the...
Homework Statement
A mass hangs from a light string of length 45cm attached at its other end to the ceiling. If the mass is given an initial speed of 5m/s, what is its speed when it reaches point A in its circular path (see Figure 1)?
https://imgur.com/a/ERdlD
Homework Equations
##E_i = E_f##...
Hi all, I've been lurking around the forums for a while to get help with homework but I figured I'd finally make an account to get direct feedback.
I'm having problems with this centripetal acceleration problem, Homework Statement
"In an old-fashioned amusement park ride, passengers stand...
Homework Statement
Maxine (mass m) slides down an icy slope then along a flat surface before coming to a stop.
The slope has angle θ and height h.
a. Derive a formula for speed at the bottom of the hill in terms of the angle of the hill θ, the height from which she starts h, and the...
Homework Statement
A boat, moving at the velocity of 9,9m/s turns off its engine and starts decelerating at the rate of a=-kv^2. What is the velocity of the boat after 4,9 seconds if the constant k is k=5,5m
Homework EquationsThe Attempt at a Solution
I tried to integrate deceleration to get...
Hi! I am confused with the speed regulation for Isochronous control. In Droop control, we can surely solve for a value of speed regulation because droop allows the generator to have a varying frequency. However, in Isochronous control, the frequency and speed from no-load to full-load is the...
Help with the question of the concept of the stability of the speed of light. I gather that current atomic clocks are based upon the speed of the electron around their nucleus, which is a function of the speed of light. Measurements of the speed of light that depend upon atomic clocks therefore...
Question: The speed of waves in shallow water depends only on the acceleration due to gravity (g) and the water depth (h). Which of the following formulas describes the speed of the wave?
a) (1/2)gh^2
b) gh
c) h/g
d)(gh)^(1/2)
Attempt:
Change in V = at
t= ΔV/a
Δx=vt+(1/2)at2
Δx =...
This is a thought experiment so the mentioned values are only for example purpose.
I was wondering about an electrical train. So here is the setup, we have rails and an electric train with an overhead wire. In one case the train gets its power from DC and in the other case the train is powered...
Hi!
I have this homework problem that has me completely stumped. Any help is greatly appreciated!
In coming to a stop, a car leaves skid marks 80m long on the highway. Assuming a deceleration of 7.00m/s2, estimate the speed of the car just before braking.
I just can't figure out what formula...
Dear Everybody,
I need some help to help the distance for part a. b) If the block comes back down after it was push, what is the speed back down.
A 3.25 kg block starts with a speed of 15 m/s at the bottom of a plane inclined at 35° to the horizontal. The coefficient of sliding friction...
1. We have a moving platform traveling 700 miles per hour to the Right-Direction.
2. In the middle of the platform, we have a gun which fires a laser both at the front and back of the platform at the same time.
3. We have at both the front and back of the platform, a mechanical device. These...
Homework Statement
A parallel-plate capacitor is charged to 4850 V. A proton is fired into the center of the capacitor at a speed of v0=2.81 * 10^5 m/s. The proton is deflected while inside the capacitor, and the plates are long enough that the proton will hit one of them before emerging from...