Answer:
The initial velocity of the water from the tank is 5.42 m/s
Explanation:
By applying Bernoulli equation between point 1 and 2

At the point 1
P₁=0 ( Gauge pressure)
V₁= 0 m/s
Z₁=3 m
At point 2
P₂=0 ( Gauge pressure)
Z₂= 0 m/s

Now by putting the values




V₂= 5.42 m/s
The initial velocity of the water from the tank is 5.42 m/s
Answer:
I believe the correct answer would be A :)
Explanation:
To
solve this problem, we assume that the wavelength of the light in air is 500
nanometers.
For this case we
only need the refractive index of the polystyrene. For an antireflective
coating, we need a quarter of wave thickness at the wavelength in the air. Which
means that the antireflective coating needs to be as thick as 1/4 of the
wavelength, divided by the coating’s refractive index. This is expressed
mathematically in the form:
x = λ / (4 * n)
where,
x = thickness
λ = wavelength
of light
n = index of
refraction of polystyrene
Substituting:
x = 500 nm / (4
* 1.49)
x = 500 nm / 5.96
x = 83.90 nm
Answer:
Momentum of 2nd ball is

direction is given as

Explanation:
As we know that there is no external force on the system of balls so momentum before and after collision will be conserved
So we have

now after collision momentum of two balls is must be same as initial
so we have


so we have


for other component we have


Momentum of 2nd ball is given as


direction is given as



The elastic potential energy increases by a factor of 9
Explanation:
The elastic potential energy of a bowstring is given by
(1)
where
k is the spring constant
x is the elongation of the bowstring
Hooke's law states the relationship between the force applied and the elongation of an elastic object:

where
F is the force applied
x is the elongation
We can rewrite it as

And substituting into (1),

In this problem, the force applied to the bowstring is tripled,
F' = 3F
So the final elastic potential energy is:

So, the elastic potential energy increases by a factor of 9.
Learn more about potential energy:
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