1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crank
3 years ago
6

A light flashes at position x=0m. One microsecond later, a light flashes at position x=1000m. In a second reference frame, movin

g along the x-axis at speed v, the two flashes are simultaneous. Is this second frame moving to the right or to the left relative to the original frame?
Physics
1 answer:
padilas [110]3 years ago
7 0

Answer:

To the right relative to the original frame.

Explanation:

In first reference frame <em>S</em>,

Spatial interval of the event, \rm \Delta x=1000\ m-0\ m=1000\ m.

Temporal interval of the event, \rm \Delta t = 1\ \mu s=10^{-6}\ s.

In the second reference frame <em>S'</em>, the two flashes are simultaneous, which means that the temporal interval of the event in this frame is \rm \Delta t'=0\ s.

The speed of the frame <em>S' </em>with respect to frame <em>S</em> = v.

According to the Lorentz transformation,

\rm \Delta t'=\dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}\left( \Delta t-\dfrac{v\Delta x}{c^2}\right ).\\\\Since,\ \Delta t'=0,\\\therefore \dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}\left( \Delta t-\dfrac{v\Delta x}{c^2}\right )=0\\\Rightarrow \Delta t-\dfrac{v\Delta x}{c^2}=0\\\dfrac{v\Delta x}{c^2}=\Delta t\\v=\dfrac{c^2\Delta t}{\Delta x }.\\\\Also, \ \Delta t,\ \Delta x>0\ \Rightarrow v>0.

And positive v means the velocity of the second frame<em> </em><em>S'</em> is along the positive x-axis direction, i.e., to the right direction relative to the original frame <em>S</em>.

You might be interested in
What is seafloor spreading
liubo4ka [24]

Answer:

A

Explanation:

The process by which molten materials add new oceanic crust to the ocean floor.

7 0
3 years ago
The wavelengths of light emitted by an excited atom are determined by the:
Natalka [10]
Difference in energy between the exicted states and ground states
7 0
3 years ago
Read 2 more answers
Someone please help me
Murrr4er [49]

Answer:

A: any mirror.

hope it's help you

6 0
3 years ago
Read 2 more answers
Most geologists think that the movement of Earth's plates is cause by 
kramer
<span>c) convection currents in the mantle </span>
5 0
3 years ago
Read 2 more answers
A particle moving along the x-axis has its velocity described by the function vx =2t2m/s, where t is in s. its initial position
Nesterboy [21]

The position of the object at time t =2.0 s is <u>6.4 m.</u>

Velocity vₓ of a body is the rate at which the position x of the object changes with time.

Therefore,

v_x= \frac{dx}{dt}

Write an equation for x.

dx=v_xdt\\ x=\int v_xdt

Substitute the equation for vₓ =2t² in the integral.

x=\int v_xdt\\ =\int2t^2dt\\ =\frac{2t^3}{3} +C

Here, the constant of integration is C and it is determined by applying initial conditions.

When t =0, x = 1. 1m

x= \frac{2t^3}{3} +C\\ x_0=1.1\\ x= (\frac{2t^3}{3} +1.1)m

Substitute 2.0s for t.

x= (\frac{2t^3}{3} +1.1)m\\ =\frac{2(2.0)^3}{3} +1.1\\ =6.43 m

The position of the particle at t =2.0 s is <u>6.4m</u>




5 0
3 years ago
Other questions:
  • The total energy of a 0.050 kg object travelling at 0.70 c is:
    8·2 answers
  • What are infrasound usages​
    15·2 answers
  • What is the definition of a "revolution"? user: which planet is closest to the sun?
    10·2 answers
  • What is the vacuole in a plant cell?
    9·2 answers
  • LIULIS.<br> What would happen to speed if distance increased in the same amount of time?
    14·1 answer
  • Why is rust formed on iron
    11·1 answer
  • A bowling ball has a mass of 10 kilograms. A tennis ball has a mass of 0.08 kilogram. How much inertia does the bowling ball hav
    6·1 answer
  • CHALLENGE
    8·2 answers
  • A car is traveling at 35.8 m/s. What acceleration would it have if it took 2.0 s to come to a complete stop?
    10·1 answer
  • The following coplanar forces pull on a ring 200N at 30 degrees and 500N at 80 degrees and 300N at 240 degrees and an unknown fo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!