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bagirrra123 [75]
4 years ago
15

A severe thunderstorm dumped 2.4 in of rain in 30 min on a town of area 29 km2. What mass of water fell on the town? One cubic m

eter of water has a mass of 103 kg.
Physics
1 answer:
Alexus [3.1K]4 years ago
3 0

Answer:

The mass of water is 1.7661\times10^{9}\ kg

Explanation:

Given that,

Area of town = 29 km²

Time = 30 min

Height = 2.4 inch

Mass = 103 kg

We know that,

1 m = 39.37 inch

So, 2.4\ inch =\dfrac{2.4}{39.37}

2.4\ inch=0.0609\ m

We need to calculate the volume

Using formula of volume

V=H\times A

Put the value into the formula

V=0.0609\times29\times1000^2

V=1766100\ m^3

We need to calculate the mass of water

Using formula of density

\rho=\dfrac{m}{V}

Put the value into the formula

1000=\dfrac{m}{1766100}

m=1000\times1766100

m=1.7661\times10^{9}\ kg

Hence, The mass of water is 1.7661\times10^{9}\ kg

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Explanation:

The motion of Ileana is a uniformly accelerated motion (constant acceleration), therefore we can use the following suvat equation:

s=(\frac{u+v}{2})t

where

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u is the initiaal velocity

v is the final velocity

t is the time elapsed

In this problem, we have:

u = 4.20 m/s

v = 5.00 m/s

t = 25.0 s

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s=(\frac{4.20+5.00}{2})(25.0)=115 m

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3 years ago
Which statement about a right triangle is NOT true?
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The square of the hypotenuse is equal to the sum of the squares of the other two lengths.

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the human body isn't very efficient at converting food into useful work. The human body is less than 5% efficient most of the time. The rest of the energy is converted to heat, which may or may not be useful, depending on how cool or warm a person wants to be.

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3 years ago
Estimate how far apart the rays of deepest red and deepest violet light are as they exit the bottom surface. assume nred = 1.57
Harlamova29_29 [7]
We begin by noting that the angle of incidence is the one that's taken with respect to the normal to the surface in question. In this case the angle of incidence is 30. The material is Flint Glass according to the original question. The refractive indez of air n1=1, the refractive index of red in flint glass is nred=1.57, finally for violet in the glass medium is nviolet=1.60. Snell's Law dictates:
n_1sin(\theta_1)=n_2sin(\theta_2)
Where \theta_2 differs for each wavelenght, that means violet and red will have different refractive indices in the glass.
In the second figure provided details are given on which are the angles in question, \Delta x is the distance between both rays.
\theta_{2red}=Asin(\frac{sin(30)}{1.57})\approx 18.5705
\theta_{2violet}=Asin(\frac{sin(30)}{1.60})\approx 18.21
At what distance d from the incidence normal will the beams land at the bottom?
For violet we have:
d_{violet}=h.tan(\theta_{2violet})\approx 0.0132m
For red we have:
d_{red}=h.tan(\theta_{2red})\approx 0.0134m
We finally have:
\Delta x=d_{red}-d_{violet}\approx2.8\times10^{-4}m


6 0
3 years ago
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