Physics, 06.04.2020 19:32 morganluvsblueow9wtm

Space pilot Mavis zips past Stanley at a constant speed relative to him of 0.800c. Mavis and Stanley start timers at zero when the 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. Express your answer in seconds.

Answers: 3

Show answers

Answers

Answer from: emmalie52

a) $x=2*10^{9} m$ and t=8.35 s

b) t = γt', so it is 8.35 s.

Explanation:

a) The equation of Lorentz transformations is given by:

$x=\gamma(x'+ut')$

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 su =0.800 c, c is the speed of light 3*10⁸ m/s

$\gamma=\frac{1}{\sqrt{1-(u/c)^{2}}}$

$\gamma=\frac{1}{\sqrt{1-(0.800c/c)^{2}}}$

$\gamma=\frac{1}{\sqrt{1-(0.800)^{2}}}$

$\gamma=1.67$

x=1.67(0+0.800c*5.00)

$x=2*10^{9} m$

Now, to find t we apply the same analysis:

$t=\gamma(t'+\frac{ux'}{c^{2}})$

but as x'=0 we just have:

$t=\gamma(t')$

t=1.67*5.00=8.35 s

b) Here, Mavis reads 5 s on her watch and Stanley measured the events at a time affected by the Lorentz factor, in other words t = γt', if we see it is the same a) part. So the time interval will be equal to 8.35 s.

I hope it helps you!

Answer from: daydallas01

a) x = 2 × 10⁹m and t = 8.34s

b)t = 8.34s

Explanation:

Part a

The Lorentz factor is given by

$\gamma =\frac{1}{\sqrt{1-\frac{u^2}{c^2} } }$

$\gamma = \frac{1}{\sqrt{1-(\frac{0.8c}{c})^2 } } \\\\ = 1.667$

From Lorentz transformation we have

$x = \gamma (x'+ut')\\\\ x = \gamma (0 + ut') \\\\ x= \gamma ut'$

substitute the values

$x = (1.667)(0.8c)(5.0s)\\\\x=(1.667)(0.8\times 3.0 \times 10^8m/s)(5.0s)\\\\x=2.0\times10^9m$

From Lorentz transformation we have

$t = \gamma (t'+\frac{ux'}{c^2} ) \\\\t = \gamma(t'+\frac{u(0)}{c^2} )\\\\t= \gamma t'$

$t = (1.667)\times 95.0s)\\\\t=8.34s$

Part b

From the concept of timr dilation we have,

$\Delta T = \gamma \Delta T_0$

$= 1.667\times 5.0\\\\=8.34s$

The value of time found is same as part a

Answer from: Quest

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol

b. a hockey puck sliding across the ice

c. a compressed spring

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice is the correct option.

Answer from: Quest

0.93xc=0.93x3x10^8m/s

2.54cm is 1 inch

360seconds i 1 hr

Another question on Physics

Physics, 22.06.2019 05:50

Sawyer is studying diffraction. he draws a diagram of a plane wave to show how light waves travel. which best describes sawyer’s error? the wave fronts should be perpendicular to the direction in which the waves move. the arrow showing the direction of movement of the waves should be pointing to the left. the arrow showing the direction of movement of the waves should be pointing downward. the wave fronts should be both parallel and perpendicular to the direction in which the waves move.

Answers: 2

Answer

Physics, 22.06.2019 11:40

The ozone hole appears in antarctica during

Answers: 1

Answer

Physics, 22.06.2019 19:00

Ahorizontal force of 400.0 n is required to pull a 1760 n truck across the floor at a constant speed. find the coefficient of sliding friction.

Answers: 1

Answer

Physics, 22.06.2019 19:20

Which best describes the difference between internal and thermal energy?