Answer:
x(t) = 0.077cos(6.455t)
Explanation:
If the spring can be stretched 0.2 m by a force of 50 N, then the spring constant is:
k = 50 / 0.2 = 250 N/m
The equation of simple harmonic motion is as the following:

where 
We also know that the initial velocity is 0.5 m/s, which is also the maximum speed at the equilibrium:


is the initial phase
Therefore, the position of the mass after t seconds is
x(t) = 0.077cos(6.455t)
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:
if we measure the change in height of the gas within the had and obtain a straight line in relation to the depth we can conclude that the air complies with Boye's law.
Explanation:
The air in the tube can be considered an ideal gas,
P V = nR T
In that case we have the tube in the air where the pressure is P1 = P_atm, then we introduce the tube to the water to a depth H
For pressure the open end of the tube is
P₂ = P_atm + ρ g H
Let's write the gas equation for the colon
P₁ V₁ = P₂ V₂
P_atm V₁ = (P_atm + ρ g H) V₂
V₂ = V₁ P_atm / (P_atm + ρ g h)
If the air obeys Boyle's law e; volume within the had must decrease due to the increase in pressure, if we measure the change in height of the gas within the had and obtain a straight line in relation to the depth we can conclude that the air complies with Boye's law.
The main assumption is that the temperature during the experiment does not change
probabilityAnswer:
2/27
Explanation:
The elk can not be eaten so we remove that from the probablity
so we have x/18
songbird = 4/18
mice = 6/18
4/18*6/18 = 2/27
Answer:
I am not a driver, but I think it's C.
Explanation: