The __________ energy in food is changed into mechanical energy by your muscles.
1 answer:
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Answer:
The approximate mass of the Milky Way Galaxy within the Sun's orbit is .
Explanation:
The Universal law of gravitation shows the interaction of gravity between two bodies:
(1)
Where G is the gravitational constant, M and m are the masses of the two objects and r is the distance between them.
For this particular case, M is the mass of the Milky Way Galaxy and m is the mass of the Sun. Since it is a circular motion the centripetal acceleration will be:
(2)
Then Newton's second law () will be replaced in equation (1):
By replacing (2) in equation (1) it is gotten:
(3)
Therefore, the mass of the Milky Way Galaxy can be determined if M is isolated from equation (3):
(4)
But r is 27000 light years (r = 27000 ly), Notice that it is necessary to express r in units of meters:
⇒
Before using equation 4 it is necessary to find the velocity:
(5)
Where d is the distance and t is the time, for this case t = 230000000 years.
⇒
Then, the values of d and t can be replaced in equation 5:
Finally, equation 4 can be used:
Hence, the approximate mass of the Milky Way Galaxy within the Sun's orbit is .
Appendix:
The value of a light year in meters can be determined by means of equation 5:
Answer:
attached below
Explanation:
