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Relative Motion and Inertial Reference Frames
Relative Motion and Inertial Reference Frames
Relative Motion and Inertial Reference Frames
SOLVED: Two cars collide inelastically on a city street. For the two-car system, which of the following are the same in any inertial reference frame? A. The amount of energy dissipated and the momentu [1]
Get 5 free video unlocks on our app with code GOMOBILE. For the two-car system, which of the following are the same in any inertial reference frame?
A moving body collides elastically with another body of equal mass at rest. Then(A) a part of the energy is dissipated as heat.(B) momentum is conserved but $\mathrm{KE}$ is not conserved.(C) both masses start moving with the same velocity.(D) the moving mass transfers whole of its energy to the mass at rest.
Which of the following quantities is conserved in a perfectly elastic collision?(A) Total velocity of the system(B) Total linear momentum of the system(C) Total kinetic energy of the system(D) Both A and C(E) Both B and C. In this problem the amount of energy Andy amount of energy dissipated and momentum exchange and momentum exchange for momentum conservation
(Solved) – Two cars collide inelastically on a city street. For the two-car… (1 Answer) [2]
We store cookies data for a seamless user experience. two-car system, which of the following are the same in any inertial reference
A 0.70-kg basketball dropped on a hardwood floor rises back. height of 1.5 m, how much energy is dissipated in the first bounce? (b) How
Does the question reference wrong data/reportor numbers?. particle I has map m, momentum 2p, and particle 2 has mass
Inertial frame of reference [3]
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It is a frame in which an isolated physical object—an object with zero net force acting on it—is perceived to move with a constant velocity or, equivalently, it is a frame of reference in which Newton’s first law of motion holds.[1] All inertial frames are in a state of constant, rectilinear motion with respect to one another; in other words, an accelerometer moving with any of them would detect zero acceleration.. It has been observed that celestial objects which are far away from other objects and which are in uniform motion with respect to the cosmic microwave background radiation maintain such uniform motion.[2]
In analytical mechanics, an inertial frame of reference can be defined as a frame of reference that describes time and space homogeneously, isotropically, and in a time-independent manner.[4]. – in any region small enough for the curvature of spacetime and tidal forces[5] to be negligible, one can find a set of inertial frames that approximately describes that region.[6][7]
Does the mechanical energy of a system depend on the condition of the inertial frame? [4]
The question arose because of the following situation:. Two cars with the same mass are side by side on the same track with speed $v_1$ in the same direction
The total energy of the shock for an observer in the car that did not crash will be, relative to the cars, $E_{car}=E_1+E_2$, where $E_1=M(0)²/2$ and $E_2=M(v_1+v_2)²/2$, while that a stationary observer on earth goes $E_{earth}=E_1’+E_2’$, where $E_1’=Mv_1²/2$ and $E_2’=M(v_2)²/2$. Clearly the sum of energies are not the same: $E_{car}=M(v_1²+2v_1v_2+v_2²)/2 ≠ E_{earth}=M(v_1²+v_2²)/2$
Now the question is: if the mechanical energy depends on the inertial frame, then shouldn’t the observer who sees the collision with more energy see a more serious accident between the cars?
[Solved] Which of the following statements is false with regard to Ei [5]
Which of the following statements is false with regard to Einstein’s special theory of relativity?. – Special relativity is a theory of the structure of space-time.
– According to this theory, all the physical laws should be the same in the inertial frame of reference(non-accelerated or frame which is at rest or under uniform motion known as an inertial frame of reference).. – The second postulate of this theory is the speed of light c is a constant, independent of relative motion of the source.
– Inertial frame of reference: The frame of reference having zero acceleration is called the Inertial frame of reference.. – This frame of reference will be either in rest or will be moving with a constant velocity.
Frame of Reference: Overview & Definition [6]
Have you ever noticed when you’re speeding down the highway at \(65\,\mathrm{mph}\) that the cars next to you look like they are moving slowly? But when you get out of the car and stand on the side of the road, the vehicles nearly knock you off your feet: they’re moving extremely fast. Explore our app and discover over 50 million learning materials for free.
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How does that make any sense? The other cars seem to be slow because you are in a moving reference frame relative to them. Since your frame of reference is moving along the road with you, you see the motion of other vehicles relative to your own
6.4 Fictitious Forces and Non-Inertial Frames: The Coriolis Force [7]
By the end of this section, you will be able to do the following:. What do taking off in a jet airplane, turning a corner in a car, riding a merry-go-round, and the circular motion of a tropical cyclone have in common? Each exhibits fictitious forces—unreal forces that arise from motion and may seem real, because the observer’s frame of reference is accelerating or rotating.
Yet a physicist would say that you tend to remain stationary while the seat pushes forward on you, and there is no real force backward on you. An even more common experience occurs when you make a tight curve in your car—say, to the right
Again, a physicist would say that you are going in a straight line but the car moves to the right, and there is no real force on you to the left. We can reconcile these points of view by examining the frames of reference used
Non-inertial Frames, Translation and Rotating Coordinate Systems [8]
Let us quickly remind ourselves about the definition of a so-called inertial frame of reference. An inertial frame of reference in classical physics (and in special relativity as well) possesses the property that in this frame of reference a body with zero net force acting upon it does not accelerate; that is, such a body is at rest or moving at a constant velocity
An inertial frame of reference can be defined in analytical terms as a frame of reference that describes time and space homogeneously, isotropically, and in a time-independent manner.. Conceptually, the physics of a system in an inertial frame has no causes external to the system
All inertial frames are in a state of constant, rectilinear motion with respect to one another; an accelerometer moving with any of them would detect zero acceleration. Measurements in one inertial frame can be converted to measurements in another by a simple transformation (the Galilean transformation in Newtonian physics and the Lorentz transformation in special relativity)
DOE Explains…Relativity [9]
Relativity is two related theories: special relativity, which explains the relationship between space, time, mass, and energy; and general relativity, which describes how gravity fits into the mix. Albert Einstein proposed these theories starting in 1905
First, the speed of light in a vacuum is the same for any observer, regardless of the observer’s location or motion, or the location or motion of the light source. Second, the laws of physics are the same for all reference frames that are not speeding up or slowing down relative to each other
For example, when you drive down the road, your car can be thought of as your reference frame. You are at rest with respect to your car and everything in it
Classical Dynamics: Appreciating Reference Frames [10]
A desperate attempt at making reference frames interesting. We may regard the present state of the universe as the effect of its past and the cause of its future
Before we begin, I must confess that this article primarily serves as an interlude; we’ll avoid most of the mathematics and instead, just focus on what reference frames really mean and why they’re important. But to appreciate them in all their glory, we must first recount some of their history.
In writing Principia, Newton gave us the three laws of motion and in writing Dialogue on the Two Chief Systems of the World, Galileo offered us a deeper insight into the nature of celestial bodies — probably the single greatest scientific achievement in history, you might think. You might also think this pretty much wraps it up for classical mechanics
Sources
- https://www.numerade.com/ask/question/two-cars-collide-inelastically-on-a-city-street-for-the-two-car-system-which-of-the-following-are-the-same-in-any-inertial-reference-frame-a-the-amount-of-energy-dissipated-and-the-momentum-56388/
- https://www.transtutors.com/questions/two-cars-collide-inelastically-on-a-city-street-for-the-two-car-system-which-of-the–7550504.htm
- https://en.wikipedia.org/wiki/Inertial_frame_of_reference
- https://physics.stackexchange.com/questions/690085/does-the-mechanical-energy-of-a-system-depend-on-the-condition-of-the-inertial-f
- https://testbook.com/question-answer/which-of-the-following-statements-is-false-with-re–5a9cf936c17d180c5924444e
- https://www.studysmarter.co.uk/explanations/physics/kinematics-physics/frame-of-reference/
- https://www.texasgateway.org/resource/64-fictitious-forces-and-non-inertial-frames-coriolis-force
- https://mhjensen.github.io/Physics321/doc/pub/frames/html/frames-reveal.html
- https://www.energy.gov/science/doe-explainsrelativity
- https://medium.com/quantaphy/classical-dynamics-appreciating-reference-frames-d4b2cdca477d
