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White raven [17]
4 years ago
10

Astronaut Rob leaves Earth in a spaceship at a speed of 0.960crelative to an observer onEarth. Rob's destination is a star syste

m 14.4 light-years away (one light-year is the distance lighttravels in one year). Relative to a frame of reference that is fixed with respect to Earth, how longdoes it take Rob to complete the trip?
Physics
1 answer:
Slav-nsk [51]4 years ago
5 0

To solve this problem we will use the mathematical definition of the light years in metric terms, from there, through the kinematic equations of motion we will find the distance traveled as a function of the speed in proportion to the elapsed time. Therefore we have to

1Ly =9.4605284*10^{15}m \rightarrow 'Ly'means  Light Year

Then

14.4Ly = 1.36231609*10^{17} m

If we have that

v= \frac{x}{t} \rightarrow t = \frac{x}{t}

Where,

v = Velocity

x = Displacement

t = Time

We have that

t = \frac{1.36231609*10^{17}}{0.96c} \rightarrow c= Speed of light

t = \frac{1.36231609*10^{17}}{0.96(3*10^8)}

t= 454105363 s (\frac{1hour}{3600s})

t= 126140 hours(\frac{1day}{24hours})

t= 5255.85 days(\frac{1 year}{365days})

t = 14.399 years

Therefore will take 14.399 years

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If the mass of the earth and all objects on it were suddenly doubled, then the ________
krok68 [10]

Answer:

The force of universal gravitation between earth and all objects in it will be quadrupled

Explanation:

Newtons law of universal gravitation tell us the force of attraction between two bodies on the earth surface . This force is directly proportional to the product of the masses of the bodies and inversely proportional to their distance apart.

f is directly proportional to m1*m2

doubling these masses will be 2m1*2m2 = 4m1m2

if mas of earth is Me and mass of all objects is Mo

the f is proportional to Me*Mo

doubling the masses of the earth and all objects we have, 2Me*2Mo= 4MeMo

This means that doubling the masses of the earth and all objects on it will cause the force of gravitational attraction to be quadrupled.

3 0
3 years ago
When a hammer thrower releases her ball, she is aiming to maximize the distance from the starting ring. Assume she releases the
Taya2010 [7]

Answer:

The angular velocity is 15.37 rad/s

Solution:

As per the question:

\theta = 54.6^{\circ}

Horizontal distance, x = 30.1 m

Distance of the ball from the rotation axis is its radius, R = 1.15 m

Now,

To calculate the angular velocity:

Linear velocity, v = \sqrt{\frac{gx}{sin2\theta}}

v = \sqrt{\frac{9.8\times 30.1}{sin2\times 54.6}}

v = \sqrt{\frac{9.8\times 30.1}{sin2\times 54.6}}

v = \sqrt{\frac{294.98}{sin109.2^{\circ}}} = 17.67\ m/s

Now,

The angular velocity can be calculated as:

v = \omega R

Thus

\omega = \frac{v}{R} = \frac{17.67}{1.15} = 15.37\ rad/s

8 0
3 years ago
Which would best describe what occurs when a ball is thrown against a wall
Minchanka [31]

It depends on how hard the ball is one and so if its hard it might put a dent in the wall depending on how the ball is thrown at the wall and how hard the ball is and like any other way or big and small and other ways you have to pay attention on how hard it is, how hard you threw it, and how big it is

6 0
4 years ago
Noise-canceling headphones are an application of destructive interference. Each side of the headphones uses a microphone to pick
exis [7]
The question for this problem would be the minimum headphone delay, in ms, that will cancel this noise.
The 200 Hz. period = (1/200) = 0.005 sec. It will need to be delayed by 1/2, so 0.005/2, that is = 0.0025 sec. So converting sec to ms, will give us the delay of:Delay = 2.5 ms.
4 0
3 years ago
A train leaves the station heading west on the tracks. It takes the train 8 seconds to reach 80 miles per hour. It completes the
Darina [25.2K]
 im not sure about most of this but ill try to help

so there are three formulas you need to know first: the formula for rate distance and time.

to find distance:
distance = rate * time

to find time:
time = distance / rate

and to find rate (which is what we need)
rate = distance / time


now we just use our formula and plug in the numbers

rate = distance * time

rate = 160 / 2 = 80

so our rate is 80. thats all i know i have no idea about the rest but i always use these messurments. im sure you can google most of it to get other formulas and calculators though. sorry i couldnt help much! good luck :D
8 0
4 years ago
Read 2 more answers
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