Answer:
they move in an orbit of a fixed size and also energy
The particle moves with constant speed in a circular path, so its acceleration vector always points toward the circle's center.
At time
, the acceleration vector has direction
such that

which indicates the particle is situated at a point on the lower left half of the circle, while at time
the acceleration has direction
such that

which indicates the particle lies on the upper left half of the circle.
Notice that
. That is, the measure of the major arc between the particle's positions at
and
is 270 degrees, which means that
is the time it takes for the particle to traverse 3/4 of the circular path, or 3/4 its period.
Recall that

where
is the radius of the circle and
is the period. We have

and the magnitude of the particle's acceleration toward the center of the circle is

So we find that the path has a radius
of

The height need to change by 4 to double the final velocity.
<h3>Final velocity of the object</h3>
The final velocity of an object during a free fall is related to maximum height of fall as given the equation below.
v = √2gh
v² = 2gh
v²/h = 2g
v₁²/h₁ = v₂²/h₂
when v₂ = 2v₁, change in height is calculated as;
h₂ = h₁v₂²/v₁²
h₂ = (h₁ (2v₁)²) / (v₁)²
h₂ = 4h₁v₁² / v₁²
h₂ = 4h₁
Thus, the height need to change by 4 to double the final velocity.
Learn more about final velocity here: brainly.com/question/25905661
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Answer:
144 watt
Explanation:
resistance, R = 100 ohm
L = 4 mH
C = 100 micro farad
At resonance, the impedance is equal to R
Z = R
Vrms = 120 V
Irms = Vrms / R = 120 / 100 = 1.2 A
Power is given by
P = Vrms x Irms x CosФ
Where, CosФ is called power factor
At resonance, CosФ = 1
Power, P = Irms x Vrms
P = 1.2 x 120 x 1
P = 144 Watt.
Thus, the power is 144 watt.