Sarah is demolishing two clock towers, one on either side of the city. She sets up the explosives to go off at the same time when she sends the signal from the center of the city. She sends the signal and sees both clock towers blow up at the same time and sees both towers show 1pm exactly. Adam is flying past the earth traveling at a speed close to the speed of light as sees the building farthest away from him blow up first. Explain how Sarah can see them blow up at the same time, but Adam sees them blow up at different times.

Answers

Answer 1

Answer:

According to Lorentz transformation, the time observed of by objects moving in different reference frames are related to their velocity of motion and the speed of light

The time measured by Sarah who is located at the source of the signal and the center of the explosion is different from the time measured by Adam who is moving relative to Sarah and observes the signals moving at different speeds and therefore observes the buildings blow up not immediately but at different times

Explanation:

The time and space dilation equations are given as follows;

[tex]\Delta t = \dfrac{\Delta t'}{\sqrt{1 - \dfrac{v^2}{c^2} } }[/tex]

[tex]L = L' \times \sqrt{1 - \dfrac{v^2}{c^2} }[/tex]

Where;

Δt' = The time measured by Adam

Δt = The time measured by Sarah

L' = The distance measured by Adam

L= The distance measured by Sarah

v = The velocity at which Adam is moving

Let 'u' represent the speed of the signals

Given that Adam is traveling in between the two clock towers such that one signal is moving in the opposite direction towards him while the other signal moves in the his direction, by relativistic velocity addition, we have;

The velocity with which Adam observes the signal coming towards him, v' is given as follows;

v'' = (v + u)/(1 + v·u/c²)

∴ v'' > v

For the signal moving in the direction of Adam, we have;

v''' = (v - u)/(1 - v·u/c²)

v''' < v

Therefore, we have;

The time it takes the light to reach Adam from the furthest Tower which he passes as he is flies past Sarah in the middle, Δt'' is given as follows;

[tex]\Delta t'' = {\Delta t'} \times {\sqrt{1 - \dfrac{v''^2}{c^2} } }[/tex]

For the closer tower which Adam approaches, we have;

[tex]\Delta t''' = {\Delta t'} \times {\sqrt{1 - \dfrac{v'''^2}{c^2} } }[/tex]

Given that v'' > v''', therefore Δt'' < Δt''' and the time the light from the furthest building is seen first by Adam before the light from the closer building.


Related Questions

A car accelerates at a rate of 13m/s^2[S]. If the car's initial velocity is 120km/h[N]. What will its final velocity be in m/s, after two seconds.

Answers

Answer:

the final velocity of the car is 59.33 m/s [N]

Explanation:

Given;

acceleration of the car, a = 13 m/s²

initial velocity of the car, u = 120 km/h = 33.33 m/s

duration of the car motion, t = 2 s

The final velocity of the car in the same direction is calculated as follows;

v = u + at

where;

v is the final velocity of the car

v = 33.33 + (13 x 2)

v = 59.33 m/s [N]

Therefore, the final velocity of the car is 59.33 m/s [N]

A(n) _______ studies physical components and characteristics of celestial objects.

The answer is ASTROPHYSICIST!

Answers

Answer:

Astronomers?

Explanation:

Answer:

Astrophysicist?

Explanation:

The upper layer of soil consisting of rock particles, water, air, and organic matter is the​

Answers

Answer: Bedrock

Explanation:

Bedrock is the solid layer of rock beneath the soil. Soil is a mixture of rock particles, minerals, decayed organic material, air, and water. The decayed organic material in soil is humus, a dark-colored substance that forms as plant and animal remains decay.

For every 120 joules of energy input a car wastes 85 joules , find the useful energy output of the car ?

Answers

Answer:

35 Joules

Explanation:

Applying

Input Energy(Q) = Useful energy output(U)+Wasted Energy(W)

Q = U+W.............................. Equation 1

Make U the subject of the equation

U = Q-W................... Equation 2

From the question,

Given: Q = 120 Joules, W = 85 Joules

Substitute these values into equation 2

U = 120-85

U = 35 Joules

Part II. True or False 1. Bernoulli's principle is a statement of energy conservation in static fluids. 2. For most solids, the coefficient of volume expansion is proportional to the coefficient of linear expansion. 3. Latent heat of a material does not affect the amount of heat transfer across a slab by conduction. 4. If the net force acting upon a body is zero, the particle is always at rest. 5. A football kicked at an angle 0 with respect to the horizontal means that the acceleration is 9.8m/s2 at all times. 6. Equilibrant force is the combination of all the forces acting on an object. 7. Reflection occurs when there is the presence of medium where light can travel. 8. Diverging Lenses always have negative focal length. 9. The total mechanical energy in the system must always be equal to zero. 10. Electric field is the strongest when it is close to the charged particle creating the field.

Answers

Answer:

True 1, 2,3, 6, 8 and 10

False 4, 5, 7 and 9

Explanation:

In this exercise, several situations will be analyzed, to know if they are true/false

1) True. Bernoulli's equation is the conservation of energy

2) True. The volumetric expansion is approximately 4 times the linear expansion

3) True. Latent heat is the heat used in a phase transformation and does not change the temperature of the body and the conduction is proportional to the change in temperature.

4) False. The particle can be at rest or at constant velocity

5) False. Acceleration depends on the force of the kick

6) True. The sum of force must be zero

7) False. Reflection occurs at the interface between two different media

8) True. Diverging lenses the focal length is negative

9) False. Manganic energy is the sum of the energies, therefore it must be different from zero

10) True. The electric field is inversely propositional to the square of the distance

If the temperature (at constant volume) of an ideal gas with 20 K is increased to 60 K, the pressure will be:

increased to 3P

increased to 40P

decreased by 3P

decreased by 40P

Answers

Answer:

it will obviously be decreased by 40p

Object A and Object B have the same volume of 10 cm³. Object A has a mass of 20 grams. Object B has a mass of 50 grams. Which object will have the greater density and why?​

Answers

Answer:

Object B has greater density

desity A=20/10=2 g cm^-3 . density B=50/10=5 g cm^-3

the object that has greater mass has the greater density because the volume of the those two objects are same

PLEASE ANSWER ASAP, WILL MARK BRAINLIEST***

Answers

The answer is to your question is c

See the picture and Anwser This

Answers

Answer:

20 m/s

Explanation:

Look at the time on the x-axis. Go up from 2 seconds until you reach a point. From that point go to the left and read from the y-axis.

What is the characteristic of image formed by a convex lens that is placed at the focal length of the lens?

Answers

Answer:

The image will be real, inverted, and enlarged. For convex lenses, when the object is placed inside F, the image will be on the same side of the lens as the object and it will be virtual, upright, and enlarged.Feb

How does the motion of the atoms in the spoon change when the spoon is placed in the hot coffee?
А
The atoms vibrate faster due to the conduction of heat through atoms in the spoon.
B
The atoms vibrate slower due to the conduction of heat through atoms in the spoon
С
The atoms move closer toward each other due to the radiation of heat through atoms in the spoon.
D
The atoms move away from each other due to the convection of heat through atoms in the spoon.

Answers

Answer:

A.The atoms vibrate faster due to the conduction of heat through atoms in the spoon.

What is the product of an oxidation reaction?
Ozone
Oxygen
Oxide

Answers

Answer:

Oxide

Explanation:

Ozone and oxygen are oxidising agents

[tex]O _{3} \: \: ozone \\ \\ O _{2} \: \: oxygen[/tex]

Answer:

Oxygen

Explanation:

The name oxidation actually originates from the word oxygen so the question answers it's self.

In case you don't know what oxidation is:

Oxidation occurs when an atom, molecule, or ion loses one or more electrons in a chemical reaction. When oxidation occurs, the oxidation state of the chemical species increases. Oxidation doesn't necessarily involve oxygen! Originally, the term was used when oxygen caused electron loss in a reaction.

Have a great day <3

A projectile is launched from the ground with an initial velocity of 12ms at an angle of 30° above the horizontal. The projectile lands on a hill 7.5m away. The height at which the projectile lands is most nearly

A- 1.78m
B- 3.10m
C- 5.34m
D- 6.68m
E- 12.0m

Answers

Answer:

A. 1.78 m

Explanation:

Given;

initial velocity of the, u = 12 m/s

angle of projection, θ =  30°

the range of the projectile, R = 7.5 m

To obtain the height through which the projectile lands, we must calculate the maximum height reached by the projectile.

[tex]H = \frac{u^2\ sin^2\theta}{2g} \\\\H = \frac{(12)^2\times (sin(30))^2}{2 \times 9.8} \\\\H = \frac{144 \times (0.5)^2}{19.6} \\\\H = 1.84 \ m[/tex]

Therefore, the height is most nearly 1.78 m

Of all of the structures in a cell, which actually contains the cell's DNA? A. Mitochondria B. Cell membrane C. Nucleus D. Cytoplasm​

Answers

Answer:

C. Nucleus

Explanation:

The nucleus, formed by a nuclear membrane around a fluid nucleoplasm, is the control center of the cell. Threads of chromatin in the nucleus contain deoxyribonucleic acid (DNA), the genetic material of the cell.

have a good day and here’s a funny comic just for fun! :)

The nucleus is basically the heart of the cell holding genetic information

Help please, with #18, it’s a basketball question

Answers

Answer: D

Explanation:

Answer:

C. A lob pass.

Hope this helps!!

Can anyone answer this its a science question NO LINKS!!!

Answers

Answer:

The correct answer is C I took the mastery test

Explanation:

Answer:

d last one

Explanation:

A baseball is thrown at a 22.5° angle and an initial velocity of 65 m/s. What will be its horizontal
and vertical velocity?*

Answers

Answer:

Horizontal

Explanation:

It is going more sideways than upwards

Tyra made the following bar graph shown to represent the relative distances of four different astronomical bodies from Earth.

The title of the bar graph is Distance of Bodies in Space from Earth. Four bars are labeled A, B, C, and D. Bar C is the shortest. Bar D is about three times the size of bar C. Bar A is about six times the size of bar C. Bar B is about eight times the size of bar C.

If D represents Mercury, which of the following could be represented by B and C?

B could be the moon, and C could be Venus.
B could be Venus, and C could be the moon.
B could be the moon, and C could be Jupiter.
B could be Jupiter, and C could be the moon.

Answers

Answer: D

Choice A calls B the moon which is incredibly tiny compared to Venus so this is wrong, choice B calls B Venus which is a relatively small planet and C the moon... that is a bit overkill so no. Choice C says B is the moon and C is Jupiter, Jupiter being the largest planet this is a easy no, leaving D to be the only logical and correct answer.

Explanation: MARK ME BRAINLIEST PLZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer: Answer D. because B. Jupiter is the farthest from Earth from those answer choices and C. is the moon because it is the closest out of those answer choices.

So, the answer is D: B could be Jupiter, and C could be the moon.

Explanation: Please give Brainlist.

Hope this helps!!!!

What are successfulness of the Competition policy in South Africa?​

Answers

Answer:

The product choices along with its competitive prices were provided to the consumers. Practices such as horizontal collusion and resale price maintenance was declared unlawful in 1984. Prevention of monopoly growth was the aim of the competition policy act.

Explanation:

hope this helps you

a sample contains 110 g of a radioactive isotope. how much radioactive isotope will remain in the sample after 1 half-life?

a. 100g
b. 25 g
c. 75 g
d. 50 g

Answers

Answer:

The half-life of a radioactive isotope is the time such that the initial amount of the isotope is reduced to its half.

Thus, if we start with A grams of a given radioactive isotope, after a 1 half-life, we will have A/2 grams of the radioactive isotope.

In this case, we know that the sample has 110g of a radioactive isotope.

Then, after 1 half-life, we should have half of 110g, which is:

110g/2 = 55g

Then we should have 55 g of a radioactive isotope.

The answer that is closer to this result is option d (50 g), so that is the correct one.

mechanical energy is two types ??​​​​​​​​​

Answers

Answer:

Yes Kinetic and Potential energy

Yup kenitkick and potatoes wnergy

Using the diagram above, the coefficient of kinetic friction for copper is ____ (Your answer should be given to the nearest thousandths.)
This coefficient _____ applies to all similar copper surfaces.

Answers

Answer:

 μ= 0.0375,  kinetic

Explanation:

For this exercise we set a reference system with the x axis parallel to the chord

Y axis  

      N - W = 0

      N = W

     

X axis

      T - fr = 0

the expression for the friction force is

      fr = μ N

       

we substitute

       T - μ W = 0

       μ = T / W

we calculate

         μ = 1.5 / 40

        μ= 0.0375

coefficient of kinetic friction

Which of these scenarios describes circular motion?
es )
A)
The moon orbiting the Earth
B)
A cannonball flying from a cannon
C)
A car moving along a straight track
D)
The pendulum of a grandfather clock

Answers

A)

The moon orbiting the Earth

Where was the first FIFA World Cup held?
(HINT: The host country won the tournament

Answers

Answer:

The 1930 FIFA World Cup was the inaugural FIFA World Cup, the world championship for men's national association football teams. It took place in Uruguay from 13 to 30 July 1930.

Explanation:

hope it helps if so pls give it the brainliest answer

Answer:

[tex]\huge\boxed{Uruguay\hookleftarrow}[/tex]

The first FIFA World Cup Championship took place in Uruguay from from 13 July 1930 to 30 July 1930.

(c) Another spring has a spring constant of 250 N/m.
Calculate the work done in stretching the spring by 0.30 m.
State the unit.
Use the equation
E = 12 x K x x2

Answers

It is E=something which leases another something equaling another something

A student uses 80 joules of energy to lift a backpack in a time of 0.75 seconds. How much power
does the student have?

Answers

Answer:

P = 106.7 W

Explanation:

Given that,

Work done in lifting a backpack, W = 80 J

It is lifted in 0.75 seconds

We need to find the power of the student. The power of an object is defined as work done per unit time. So,

[tex]P=\dfrac{W}{t}[/tex]

Put all the values,

[tex]P=\dfrac{80}{0.75}\\\\P=106.7\ W[/tex]

So, the power of the student is 106.7 W.

A monochromatic beam of light has a frequency of 6.5 x 10" hertz. What color is the light?
O orange
O yellow
O violet
O blue

Answers

Answer:

violet

Explanation:

When will electric charges flow?
A. When the circuit is open.
B. When the circuit is incomplete.
C. When the circuit is closed.
D. When the switch is off.

Answers

c. when the circuit is closed

Answer:

A

Explanation:

A bird is standing on an electric transmission line carrying a large amount of current. Find the power dissipated by the bird If the
current it experiences is 1.35^-10 A which results in a potential difference of .0054V.

Side Note:
(I know the answer is 7.3 x 10^-11 W, I just don’t know how to get it)

Answers

P = 7.3 × 10^-13 Watt

Explanation:

First of all, are you sure that what you have is the right answer?

Anyway, the definition of power dissipated is given by

P = I^2×R

where I is the current and R is the resistance. But we also know from Ohm's law that

V = IR

so we can rewrite the equation for power P as

P = I^2R = I(IR) = VI

= (0.0054 volt)(1.35 × 10^-10 A)

= 7.3 × 10^-13 Watt

Help please!!


What are the three criteria that determine if a wave is a sound wave?

Answers

Answer:

Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed.

Explanation:

Sound wave can be described by five characteristics: Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed. The minimum distance in which a sound wave repeats itself is called its wavelength. That is it is the length of one complete wave

Answer: Sound wave can be described by five characteristics: Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed.

Explanation:

The minimum distance in which a sound wave repeats itself is called its wavelength. That is it is the length of one complete wave.

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