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
inna [77]
3 years ago
7

Space pilot Mavis zips past Stanley at a constant speed relative to him of 0.800c. Mavis and Stanley start timers at zero when t

he front of Mavis ship is directly above Stanley. When Mavis reads 5.00 s on her timer, she turns on a bright light under the front of her spaceship. (a) Use the Lorentz coordinate transformations to calculate x and tas measured by Stanley for the event of turning the light. (b) Use the time dilation formula to calculate the time interval between the two events (the front of the spaceship passing overhead and turning on the light) as measured by Stanley. Compare to the value of t you calculated in part (a). (c) Multiply the time interval by Mavis speed, both as measured by Stanley, to calculate the distance she has traveled as measured by him when the light turns on. Compare to the value of x you calculated in part (a).
Physics
1 answer:
inna [77]3 years ago
7 0

Answer:

Explanation:

a. The equation of Lorentz transformations is given by:

x = γ(x' + ut')

x' and t' are the position and time in the moving system of reference, and u is the speed of the space ship. x is related to the observer reference.

x' = 0

t' = 5.00 s

u =0.800 c,

c is the speed of light = 3×10⁸ m/s

Then,

γ = 1 / √ (1 - (u/c)²)

γ = 1 / √ (1 - (0.8c/c)²)

γ = 1 / √ (1 - (0.8)²)

γ = 1 / √ (1 - 0.64)

γ = 1 / √0.36

γ = 1 / 0.6

γ = 1.67

Therefore, x = γ(x' + ut')

x = 1.67(0 + 0.8c×5)

x = 1.67 × (0+4c)

x = 1.67 × 4c

x = 1.67 × 4 × 3×10⁸

x = 2.004 × 10^9 m

x ≈ 2 × 10^9 m

Now, to find t we apply the same analysis:

but as x'=0 we just have:

t = γ(t' + ux'/c²)

t = γ•t'

t = 1.67 × 5

t = 8.35 seconds

b. Mavis reads 5 s on her watch which is the proper time.

Stanley measured the events at a time interval longer than ∆to by γ,

such that

∆t = γ ∆to = (5/3)(5) = 25/3 = 8.3 sec which is the same as part (b)

c. According to Stanley,

dist = u ∆t = 0.8c (8.3) = 2 x 10^9 m

which is the same as in part (a)

You might be interested in
⚠HI YOU GUYS HELLLP BRAINLIEST AND 100 PIONTS⚠ Use THE MAP
Setler [38]

Answer:

5.A mid-ocean ridge or mid-oceanic ridge is an underwater mountain range, formed by plate tectonics. This uplifting of the ocean floor occurs when convection currents rise in the mantle beneath the oceanic crust and create magma where two tectonic plates meet at a divergent boundary.

6.The Nazca plate is an oceanic plate, while the South American plate is continental. The fast moving Nazca plate is moving east towards the South American plate at a downward angle and converging. This process is called subduction, resulting in frequent earthquakes & production of the Andes Mountains.

7.The Nazca plate forms the southeastern part of the Pacific plate. The Nazca and the Pacific plate share both divergent and transform type of plate boundary. The Pacific and the Nazca plate are separating at an increasing rate of about 122-142mm/year.

8.Convection currents in the mantle and in the ocean are similar because they both are responsible for the shaping the Earth's surface. Two forces are behind the movement of Earth's huge land masses. Due to combined action of convection currents and gravity, Earth's plates are in constant motion.

Explanation:

8 0
4 years ago
A car travels 30 km north in 25 min. and 40 km east in 35 min. What is the total time in hours? Be careful to carry over the pro
inna [77]
25+35=60mins so 1.0 hours
3 0
3 years ago
Read 2 more answers
The aluminum atom______electrons to form an ion.<br> The ion that is formed is______.
Alchen [17]

The aluminum atom_loses_____electrons to form an ion.

The ion that is formed is_Al³⁺_____.

aluminium has the electronic configuration as 1s² 2s² 2p⁶ 3s² 3p¹

from the electronic configuration , we see that aluminium can attain stability by losing 3 electrons from outer shell.

after losing 3 electrons , the ion formed is given as Al³⁺

hence the correct options to fill in the blanks are lose  and Al³⁺


3 0
3 years ago
Read 2 more answers
Help me please (。'-‿-。)​
Akimi4 [234]

Answer:

the layers of atmosphere are heated through radiation and convection.

Explanation:

  • heat is transferred from sun through radiation

  • and current through convection
7 0
3 years ago
Read 2 more answers
20 points!
MariettaO [177]
Do they give answer choices? or is it free write? i’ll help if you tell me!!
8 0
3 years ago
Other questions:
  • under what conditions would a scale record a weight for an object which is equal to the magnitude of the gravitational force on
    14·2 answers
  • When you put a book on a table the table pushes back. which newton law
    7·1 answer
  • It is weigh-in time for the local under-85-kg rugby team. The bathroom scale used to assess eligibility can be described by Hook
    9·1 answer
  • What happened the year that isaac newton was born
    10·2 answers
  • A voltage amplifier with an input resistance of 40k ohms, an output resistance of 100 ohms, and a gain of 300 V/V is connected b
    6·1 answer
  • Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races.
    11·2 answers
  • Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject materia
    11·1 answer
  • Em muitas situações do dia a dia, temos que solucionar questões que exigem conhecimento das relações existentes entre as grandez
    11·1 answer
  • g f, as a pioneer, you wished to warm your room by taking an object heated on top of a stove into it, which of the following 15
    13·1 answer
  • Which would deliver a greater change in momentum to an opponent’s body - a dodgeball that traveled at 10m/s and rebounded with a
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!