An airplane is traveling 835km/h in a direction 41.5 west of north. Find the components of the velocity vector in the northerly
1 answer:
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Answer:
a) Find the time it took for his voice to reach the earth via radio waves.
1.28s
b) Determine the minimum time that will be required for a message from Mars to reach the earth via radio waves.
186.6s
Explanation:
The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities. That radiation is formed by electromagnetic waves, which are transverse waves formed by an electric field and a magnetic field perpendicular to it.
The distribution of the radiation in the electromagnetic spectrum is given in frequency, in the following order from the highest to the lower frequencies:
- X-rays
- Ultraviolet rays
- Visible region
- Infrared
- Microwave
- Radio waves
Light propagates as electromagnetic wave in vacuum with a speed of . Therefore, radio waves will have the same speed in vacuum.
<em>a) Find the time it took for his voice to reach the earth via radio waves.</em>
Then, to know the time that it took for Neil A. Armstrong's voice to reach the Earth via radio waves from the Moon, the next equation can be used:
(1)
Where v is the speed of light, d is the distance and t is the time.
Notice that t can be isolated from equation 1.
(2)
Hence, it took 1.28 seconds for his voice to reach the Earth via radio waves from the Moon.
<em>(b) Determine the minimum time that will be required for a message from Mars to reach the earth via radio waves.</em>
For this part, the same approach described above will be used.
For this case,
Hence, the minimum time that will be required for a message from Mars to reach the earth via radio waves is 186.6 seconds.
Answer:
313.6 m downward
Explanation:
The distance covered by the bullet along the vertical direction can be calculated by using the equation of motion of a projectile along the y-axis.
In fact, we have:
where
y(t) is the vertical position of the projectile at time t
h is the initial height of the projectile
is the initial vertical velocity of the projectile, which is zero since the bullet is fired horizontally
t is the time
a = g = -9.8 m/s^2 is the acceleration due to gravity
We can rewrite the equation as
where the term on the left, , represents the vertical displacement of the bullet. Substituting numbers and t = 8 s, we find
So the bullet has travelled 313.6 m downward.