An object in motion will remain in motion unless an outside force stops is.
Answer and Explanation:
Let:
The equation representing a simple harmonic motion, where:
As you may know the derivative of the position is the velocity and the derivative of the velocity is the acceleration. So we can get the velocity and the acceleration by deriving the position:
Also, you may know these fundamental formulas:
Now, using the previous information and the data provided by the problem, let's solve the questions:
(a)
(b)
(c)
(d)
We can extract the phase of the motion, the angular frequency and the amplitude from the equation provided by the problem:
(e)
(f)
<span>Since there is no friction, conservation of energy gives change in energy is zero
Change in energy = 0
Change in KE + Change in PE = 0
1/2 x m x (vf^2 - vi^2) + m x g x (hf-hi) = 0
1/2 x (vf^2 - vi^2) + g x (hf-hi) = 0
(vf^2 - vi^2) = 2 x g x (hi - hf)
Since it starts from rest vi = 0
Vf = squareroot of (2 x g x (hi - hf))
For h1, no hf
Vf = squareroot of (2 x g x (hi - hf))
Vf = squareroot of (2 x 9.81 x 30)
Vf = squareroot of 588.6
Vf = 24.26
For h2
Vf = squareroot of (2 x 9.81 x (30 – 12))
Vf = squareroot of (9.81 x 36)
Vf = squareroot of 353.16
Vf = 18.79
For h3
Vf = squareroot of (2 x 9.81 x (30 – 20))
Vf = squareroot of (20 x 9.81)
Vf = 18.79</span>
The first opiton is the answer A)<span>Rahul’s weight
</span>
Answer:
Mariah trained for months leading up to the marathon and won. Her sole motivation was that after seeing her winning the marathon, her friends and family would call her as motivated and athletic. It means that Mariah wanted to fulfill her esteem needs.
Explanation:
<u>According to Abraham Maslow:</u>
Safety needs includes the personal security, the safety of health, resources and property. etc.
Physiological needs falls at the lowest level of basic needs. It includes food, water, rest. etc which are necessary for an individual's survival.
Esteem includes the need of respect and self-confidence.
Cognitive needs includes the desire of knowledge, to know things, to know what is happening and why is it happening around you.
<u>In Mariah's case</u><u>, she needed respect and motivation and thus she was trying to fulfill her esteem needs by winning the marathon.</u>
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