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
zimovet [89]
3 years ago
10

According to observer o, two events occur separated by a time interval-At=0.48 us and at locations separated by 45 m (a) Accordi

ng to observer O, who is in motion relative to O at a speed of u=0.970c in the positive x direction, what is the time interval between the two events? 146 (b)What is the spatial separation between the two events, according to 07 349.1496
Physics
1 answer:
Lisa [10]3 years ago
4 0

Answer:

(a) \Delta t'=1.38\mu s

(b) \Delta x'=-389.46m

Explanation:

We use Lorentz transformations, since they relate the measures of a physical magnitude obtained by two different observers, these are:

\Delta x'=\frac{\Delta x-u\Delta t}{\sqrt{1-\frac{u^2}{c^2}}}\\\Delta t'=\frac{\Delta t-\frac{u\Delta x}{c^2}}{\sqrt{1-\frac{u^2}{c^2}}}

Here \Delta x is the spatial separation according to O, \Delta x' is the spatial separation according to O', \Delta t is the time interval according to O, \Delta t'  is the time interval according to O', u is the relative speed between the two observers and c is the speed of light.  All we do now is write the quantities we were given, recall that 1\mu s=10^{-6}s

(a)

\Delta t'=\frac{0.48*10^{-6}s-\frac{0.97c(45m)}{c^2}}{\sqrt{1-\frac{(0.97c)^2}{c^2}}}\\\Delta t'=\frac{0.48*10^{-6}s-\frac{0.97(45m)}{(3*10^{8}\frac{m}{s})}}{\sqrt{1-0.97^2}}\\\Delta t'=1.38*10^-6 s=1.38\mu s

(b)

\Delta x'=\frac{45m-(0.97*3*10^8\frac{m}{s})0.48*10^{-6}s}{\sqrt{1-\frac{(0.97c)^2}{c^2}}}\\\Delta x'=-389.46m

The minus sign means that the second event is closer for one observer and the first is closer for the other.

You might be interested in
According to the theory of plate tectonics, the lithosphere is separated into sections that are called tectonic plates. These pl
loris [4]

Answer:

Transform :j

Explanation:

4 0
3 years ago
3. Take sugar, oil, corn syrup, a glass and water. Pour the water in the glass and then add each of the above the substances one
hoa [83]

Here are the observations

<u>S</u><u>u</u><u>g</u><u>a</u><u>r</u><u>:</u><u>-</u>

  • Sugar is soluble in water
  • so It will dissolve in water .

<u>C</u><u>o</u><u>r</u><u>n</u><u> </u><u>s</u><u>y</u><u>r</u><u>u</u><u>p</u><u>:</u><u>-</u>

  • Corn syrup is also basically a sugar.
  • It will dissolve in water too .
  • If we shake the mixture in glass then corn syrup will be dissolved.

<u>O</u><u>i</u><u>l</u><u>:</u><u>-</u>

  • Oil is not soluble in water
  • Hence it won't dissolve in water.
  • It will float over water and make two layers
7 0
2 years ago
The Hubble Space Telescope has a mass of 1.16*10^ 4 kg and orbits the Earth at an altitude of 5.68 * 10 ^ 5 above Earth's surfac
andrezito [222]

Answer:

E=8.13\times 10^{12}\ J

Explanation:

Given that,

The mass of a Hubble Space Telescope, m_1=1.16\times 10^4\ kg

It orbits the Earth at an altitude of 5.68\times 10^5\ m

We need to find the potential energy the telescope at this location. The formula for potential energy is given by :

E=\dfrac{Gm_1m_e}{r}

Where

m_e is the mass of Earth

Put all the values,

E=\dfrac{6.67\times 10^{-11}\times 1.16\times 10^4\times 5.97\times 10^{24}}{5.68\times 10^5}\\\\E=8.13\times 10^{12}\ J

So, the potential energy of the telescope is 8.13\times 10^{12}\ J.

5 0
2 years ago
your friend rides her bicycle across town at a constant speed. Describe how you could determine her speed
Alchen [17]
You measure the total distance the bike travels, and the total time it takes to travel that distance. You then divide the distance by the time
6 0
3 years ago
The formula v = √2.5r models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radiu
mel-nik [20]

Answer:

The maximum safe speed of the car is 30.82 m/s.

Explanation:

It is given that,

The formula that models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature r r, is in feet is given by :

v=\sqrt{2.5\ r}.........(1)

A highway crew measures the radius of curvature at an exit ramp on a highway as 380 feet, r = 380 feet

Put the value of r in equation (1) as :

v=\sqrt{2.5\ \times 380}

v = 30.82 m/s

So, the maximum safe speed of the car is 30.82 m/s. Hence, this is the required solution.

4 0
3 years ago
Other questions:
  • The discovery that one current-carrying wire exerts a force on a second current-carrying wire was made by _________. Coulomb Oer
    6·2 answers
  • When a warm air mass catches up with a cold air mass, forming a warm front, the warm air slides over the top of the cold air, be
    12·1 answer
  • The electric force between two charged objects depends on which of the following
    5·2 answers
  • A nonconducting sphere has radius R = 2.81 cm and uniformly distributed charge q = +2.35 fC. Take the electric potential at the
    7·1 answer
  • Could you help me with a science question really quick?
    13·1 answer
  • A physicist drops astone off the top of cliff over looking a lake. She hears the splash 4 second after releasing the stone?
    9·1 answer
  • Please answer the question asked in the image.
    9·1 answer
  • I NEED HELP WITH THE LAST QUESTION ASAP D':
    5·1 answer
  • Use the drop-down menus to explain how noise cancellation works. Waves with similar are created to interfere with unwanted sound
    6·2 answers
  • Where do you weight more on top of Mt. Everest (Highest Mt. in the world) or at the beach
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!