Answer: 1010.92 m/s
Explanation:
According to Newton's law of universal gravitation:
(1)
Where:
is the gravitational force between Earth and Moon
is the Gravitational Constant
is the mass of the Earth
is the mass of the Moon
is the distance between the Earth and Moon
Asuming the orbit of the Moon around the Earth is a circular orbit, the Earth exerts a centripetal force on the moon, which is equal to
:
(2)
Where
is the centripetal acceleration given by:
(3)
Being
the orbital velocity of the moon
Making (1)=(2):
(4)
Simplifying:
(5)
Making (5)=(3):
(6)
Finding
:
(7)
(8)
Finally:
The function of sleep theory supported by the illustration is sleep conserves and protects.
<h3>
Positive impact of sleep</h3>
From the first sentence, bats sleep a lot because they face little danger from predators and as such, they have a high-calorie diet of insects.
<h3>Negative impact of sleep</h3>
From the second sentence, cows sleep less, because they face more danger from predators and as such, they have a low-calorie diet of insects.
We can conclude that sleep helps to keep animal safe. Therefore, the correct option will be, "Sleep conserves and protects".
Learn more about important of sleep here: brainly.com/question/10224591
Answer:
W = 55.12 J
Explanation:
Given,
Natural length = 6 in
Force = 4 lb, stretched length = 8.4 in
We know,
F = k x
k is spring constant
4 = k (8.4-6)
k = 1.67 lb/in
Work done to stretch the spring to 10.1 in.

![W = \dfrac{k}{2}[x^2]_6^{10.1}](https://tex.z-dn.net/?f=W%20%3D%20%5Cdfrac%7Bk%7D%7B2%7D%5Bx%5E2%5D_6%5E%7B10.1%7D)

W = 55.12 J
Work done in stretching spring from 6 in to 10.1 in is equal to 55.12 J.