To solve this problem it is necessary to apply the concepts related to the Third Law of Kepler.
Kepler's third law tells us that the period is defined as

The given data are given with respect to known constants, for example the mass of the sun is

The radius between the earth and the sun is given by

From the mentioned star it is known that this is 8.2 time mass of sun and it is 6.2 times the distance between earth and the sun
Therefore:


Substituting in Kepler's third law:






Therefore the period of this star is 3.8years
Since its a sphere, the top is seen first because its the tallest part if the ship. If the earth was flat, the whole ship would be seen.
UTC is generally adopted as the local time at Prime Meridian (PM).
<h3>What is UTC?</h3>
UTC is an abbreviation for Coordinated Universal Time and it can be defined as a local time standard by which all clocks, time and time zones are regulated around the world.
This ultimately implies that, Coordinated Universal Time (UTC) is generally adopted as the local time at Prime Meridian (PM) because it nominally reflects mean solar time.
Read more on UTC here: brainly.com/question/14333785
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Answer:
v = 10.47 m/s
a = 219.32 m/s²
Explanation:
The velocity of the stone can be given by the following formula:
v = r ω
where,
v = linear velocity of the stone = ?
r = radius of tire = 0.5 m
ω = angular velocity = (200 rev/min)(2π rad/1 rev)(1 min/60 s) = 20.94 rad/s
Therefore,
v = (0.5 m)(20.94 rad/s)
<u>v = 10.47 m/s</u>
<u></u>
The acceleration of the stone will be equal to the centripetal acceleration. Therefore,
a = v²/r
a = (10.47 m/s)²/0.5 m
<u>a = 219.32 m/s²</u>
Answer:

Explanation:
The formula for the single-slit diffraction is

where
y is the distance of the n-minimum from the centre of the diffraction pattern
D is the distance of the screen from the slit
d is the width of the slit
is the wavelength of the light
In this problem,


, with n=2 (this is the distance of the 2nd-order minimum from the central maximum)
Solving the formula for d, we find:
