An astronomer whose secret hobby is riding merry-go-rounds has dedicated his career to finding the stars that rotate the most rapidly. But the stars are all very far and hence he can not identify the starts that spins more rapidly.
<u>Explanation:</u>
The things in the world rotates. the earth, sun star everything will be spinning. There is a star named Achenar. this is the start that spins at a faster rate. It is the biggest star that stays at the position 10. Its mass is 7 times greater than the sun's mass.The shining of the star can be measured by luminosity. It is the measure of the brightness of the star.
The energy that is given by a star in a second of time is the luminosity of the star. All stars are present in the different distances form the surface of the earth. but when we look from the earth or even when when go at certain altitude we can find all stars to be located at the same distance. hence if we need to find the star that spins more rapidly, then the star spectral lines can be observed. The stars that rotates will be having the wide lines in the spectra.
Answer:
Explanation:
Centripetal acceleration's equation is:
where v is the velocity of the object (moon II) and r is the radius. We have the radius, but we don't have the velocity, and we can't solve for acceleration until we do have it. Assuming moon II is a circle, or close enough to be called a circle, it has a circumference.
C = 2πr. If we can find the circumference of the circle, we can plug in the orbital period for the time, the circumference for the distance, and solve for velocity in d = rt. So let's do that and see what happens.
C = 2(3.14)(9.0 × 10⁷) and
C = d = 5.7 × 10⁸. Plugging in and solving for v:
and
v = 1.9 × 10³. That is the velocity we can use in the centripetal acceleration equation.
and

These are fun!
Complete Question
A field mouse trying to escape a hawk runs east for 5.0m, darts southeast for 3.0m, then drops 1.0m down a hole into its burrow. What is the magnitude of the net displacement of the mouse?
Answer:
The values is 
Explanation:
From the question we are told that
The distance it travels eastward is 
The distance it travel towards the southeast is 
The distance it travel towards the south is
Let x-axis be east
y-axis south
z-axis into the ground
The angle made between east and south is 
The displacement toward x-axis is


The displacement toward the y-axis is


Now the overall displacement of the rat is mathematically evaluated as


Answer:
At the molecular level, materials are held together by bonds, which act like springs for small displacements from the equilibrium spacing between neighboring atoms. Push the atoms close, the bond pushes back to keep them apart. Pull them apart, the bond pulls the atoms closer. For those small displacements, it acts like a spring
The speed of the wave will be related to the stiffness of of those springs - you compress the material - how quickly do all of those little springs rebound and push their neighboring atoms away, sending that wave of compression through the material.
Explanation:
To solve this problem it is necessary to apply the concepts related to gravity as an expression of a celestial body, as well as the use of concepts such as centripetal acceleration, angular velocity and period.
PART A) The expression to find the acceleration of the earth due to the gravity of another celestial body as the Moon is given by the equation

Where,
G = Gravitational Universal Constant
d = Distance
M = Mass
Radius earth center of mass
PART B) Using the same expression previously defined we can find the acceleration of the moon on the earth like this,



PART C) Centripetal acceleration can be found throughout the period and angular velocity, that is

At the same time we have that centripetal acceleration is given as

Replacing


