ANSWER
My answer is in the photo above
EXPLANATION
For all the equations I have used the cross multiplication method although you can also use the LCM method
Answer:
A. 5.16 s.
B. 5.66 s.
Step-by-step explanation:
A.
For a simple harmonic motion,
T = 2pi (sqrt * (l/g))
Given:
L1 = 3 cm
T1 = 4 s
L2 = 5 cm
T2 = ?
4 = 2pi*sqrt(3/g)
g = 7.4
At, L2,
T2 = 2pi*sqrt(5/7.4)
= 5.16 s.
B.
M1 = M1
M2 = 2*M1
For a simple harmonic motion,
T = 2pi (sqrt * (m/k))
4 = 2pi (sqrt * (M1/k))
M1/k = 0.405
Inputting the above values,
T2 = 2pi (sqrt * (2*M1/k))
= 2pi (sqrt * (2 * 0.405))
= 5.66 s.
The Golden Ratio is a mathematical relationship that exists
in art, shapes, nature and the human body. The golden ratio can be present in
your body, from the length of your arms and legs when compared to your torso.
Fingers is another example because the length of our fingers, each section from
the tip of the base to the wrist is larger than the preceding.
The measurement of the human navel to the floor and to the
top of the head to the navel is also the Golden ratio. Plastic surgeons and
dental surgeons use it to reconstruct the human face. It also appears in everything
around us like in the nature and science. It appears on in flower petals
because it is believed that each petal is placed to so that each petal gets the
best exposure to sunlight. Dolphins, starfish, sea urchins and honeybees also
exhibit the proportion like humans. DNA molecules measures 34 angstroms by 21
angstroms at each full cycle of the double helix spiral, these two number are
successive numbers. I think that the Golden Ratio is just a freak coincidence
that happened.
The half gallon is better because you could buy 2 half gallons of milk and get the same amount for $2.98 which is less than $2.99
