In which diagram 1 or 2 would the person be experiencing winter? explain
1 answer:
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Answer:
When both initial speed and initial displacement is doubled then amplitude will be doubled.
Explanation:
Given that :- Amplitude of simple harmonic Oscillator is doubled.
So,
Formula of Simple harmonic oscillator is ...........(1)
Where X = Position in (m,cm,km.....)
A = Amplitude in (m,cm,km.....)
F = Frequency in (Hz)
T = Time in (sec.)
Ф = Phase in (rad)
For initial displacement taking t=0 we get,
Initial displacement = .................(2)
Now taking equation (1) and differentiating it w.r.t to (t) we get
taking t=0 for initial speed then we get,
Initial speed = ...............(3)
observing equation (2) & (3) that the initial displacement and initial speed depends on the Amplitude of the Oscillator.
Hence,
when both initial speed and displacement is doubled then amplitude will be doubled.
1) 9.57 N
We have two forces applied on the apple:
- The force of gravity, in the downward direction:
W = 9.42 N
- The force exerted by the wind, in the horizontal direction (to the right):
Fw = 1.68 N
The two forces are perpendicular to each other, so we can find the magnitude of the net force by using Pythagorean's theorem.
Therefore, we have:
2)
The direction of the net external force, measured from the downward vertical, can be measured using the following formula:
where
is the force in the horizontal direction
is the force in the vertical direction
In this problem,
and so we find: