The relationship between math and science is very complicated, yet at the same time very simple. In fact all scientific equations are expressed into some form of mathematical equations. Science is a body of knowledge about the Universe. Mathematics is a language that can describe relationships and change in relationships in a rational way. Science generally uses mathematics as a tool to describe science and vice versa.
Since we are only looking at the vertical height, we can use the free fall equation to find the height:
h = 0.5*g*t^2, where h is height in m, g is acceleration due to gravity (9.81 m/s^2), and t is time in seconds
h = 0.5*(9.81 m/s^2)*(3.7 s)^2
h = 67.15 m
Therefore, the 7th floor window is 67.15 m above ground level.
Answer:
The atmospheric pressure is
.
Explanation:
Given that,
Atmospheric pressure
drop height h'= 27.1 mm
Density of mercury 
We need to calculate the height
Using formula of pressure

Put the value into the formula



We need to calculate the new height




We need to calculate the atmospheric pressure
Using formula of atmospheric pressure

Put the value into the formula


Hence, The atmospheric pressure is
.
Answer:
<h2>Ultraviolet Waves.</h2>
Explanation:
The Sun emits waves called "Solar Waves", which have a wavelengths between 160 and 400 nanometers. According to the electromagnetic spectrum, these waves are defined as Ultraviolet, which have a frequency around the order of
, which is really intense and high energy.
Therefore, the answer is Ultraviolet Waves.
The resultant force of both forces is 15.62 N.
<h3 /><h3>What is resultant?</h3>
The Resultant of forces is a single force obtained when two or more forces are combined.
To calculate the resultant of the force, we use the formula below.
Formula:
- R = √[a²+b²-2abcos∅]..................... Equation 1
Where:
- R = Resultant of the forces.
- ∅ = Angle between both forces
From the question,
Given:
Substitute these values into equation 1
- R = √[8²+10²-2×8×10cos120°]
- R = √[64+100-160cos120°]
- R =√ [164-160(-0.5)]
- R = √[164+80]
- R = √(244)
- R = 15.62 N
Hence, the resultant force of both forces is 15.62 N.
Learn more about resultant force here: brainly.com/question/25239010
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