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
solong [7]
2 years ago
11

Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54×107 light-years from Earth. If the lifetime of a human i

s taken to be 90.0 years, a spaceship would need to achieve some minimum speed vmin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between vmin and the speed of light c.
Physics
1 answer:
Varvara68 [4.7K]2 years ago
7 0

Answer:

0.0018833\ \text{m/s}

Explanation:

d = Distance of Andromeda Galaxy from Earth = 2.54\times 10^7\ \text{ly}

t = Time taken = 90\ \text{years}

c = Speed of light = 3\times 10^8\ \text{m/s}

We have the relation

t=t_o\sqrt{1-\dfrac{v^2}{c^2}}\\\Rightarrow 90=2.54\times 10^7\sqrt{1-\dfrac{v^2}{c^2}}\\\Rightarrow \dfrac{90^2}{(2.54\times 10^7)^2}=1-\dfrac{v^2}{c^2}\\\Rightarrow 1-\dfrac{90^2}{(2.54\times 10^7)^2}=\dfrac{v^2}{c^2}\\\Rightarrow v=c\sqrt{1-\dfrac{90^2}{(2.54\times 10^7)^2}}

c-v=c(1-\sqrt{1-\dfrac{90^2}{(2.54\times 10^7)^2}})\\\Rightarrow c-v=3\times 10^8(1-\sqrt{1-\dfrac{90^2}{(2.54\times 10^7)^2}})\\\Rightarrow c-v=0.0018833\ \text{m/s}

The required answer is 0.0018833\ \text{m/s}.

You might be interested in
Which leader maintained control of Cuba from 1934 to 1959?
Alexeev081 [22]
The leader Fulgencio Batista maintained control of Cuba from 1934 to 1959.

Answer: B. Fulgencio Batista
8 0
3 years ago
Describe how we know the plates once formed a supercontinent and how we know this.
Lady_Fox [76]

Answer:

<h3>How did scientists “discover” Pangea and other supercontinents of the past?</h3>

Nowadays, they can study the geologic record and use radioactive dating, seismic surveys, and other technologies to construct maps of how the world looked at various points in Earth's history.

3 0
2 years ago
Which of the following statements about electromagnetic radiation it true? A.electromagnetic waves with long wavelength are more
mina [271]

Answer:

Electromagnetic radiation is an electric and magnetic disturbance traveling through space at the speed of light (2.998 × 108 m/s). It contains neither mass nor charge but travels in packets of radiant energy called photons, or quanta.

7 0
2 years ago
____ is a chemical messenger released by virus infected cells
MaRussiya [10]

Answer:

Cytokines is the answer

Explanation:

it is another word for the chemical messanger

5 0
2 years ago
State: the units for acceleration are?
krok68 [10]

A unit of acceleration needs a unit of length in the numerator
and a squared unit of time in the denominator.

Example:    meters / second²
                    feet / minute²
                    smoots / hour² 
                    furlongs / fortnight² .

Ideally, in order to completely describe an acceleration vector,
you also need to state a direction.
 
7 0
3 years ago
Other questions:
  • What is the fleas acceleration as it extends its legs
    8·1 answer
  • What part of an atom is responsible for producing magnetic fields
    8·1 answer
  • What is the approximate radius of a nitrogen nucleus that has seven protons and seven neutrons?
    8·1 answer
  • A car accelerates from rest at a constant rate of 1.6
    7·1 answer
  • A 0.200 H inductor is connected in series with a 88.0 Ω resistor and an ac source. The voltage across the inductor is vL=−(12.0V
    6·1 answer
  • 1.) What is the equation for Average Speed?
    10·2 answers
  • 2. Write an expression for the work
    12·1 answer
  • A go cart with a mass of 60 kg is moving at a rate of 10 m/s. How much Kinetic Energy does the go cart have?
    13·2 answers
  • What is force? And tell it's unit
    9·2 answers
  • A hollow cylinder is given a velocity of 5.3 m/s and rolls up an incline to a height of 2.87 m. If a hollow sphere of the same m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!