Complete Question
You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.681 m apart. At what distance, in kilometres, are you marginally able to discern that there are two headlights rather than a single light source?Take the wavelength of the light to be 549 nm and your pupil diameter as 4.63 mm.
Answer:
The distance is
Explanation:
From the question we are told that
The is distance between the headlight is
The wavelength is
The pupil diameter is
Generally, we can mathematically evaluate the resolution of the eye as
substituting values
Now according to SOHCAHTOA rule
Where z is the distance at which the eye can discern the two head light
given that the angle is very small
=>
substituting values
=>
=>
Answer:
Explanation:
The minimum height of a space shuttle from the surface of the earth is 304 kilometers.
So according to this data we calculate the value to g at that height.
We have the formula:
where:
g' = the acceleration due to gravity at the given height 'h' above the earth
R = radius of the earth
g = the acceleration due to gravity at the surface of the earth
Now, using eq. (1)
Potential Energy = Mass * Gravitational Constant * Height
What We Don't Know: Potential Energy
What We Know:
Mass
Gravitational Constant (9.8 m/s)
Height
Ep = mgh
Ep = 4 * 9.8 * 2
Ep = 78.4 Joules
The Potential Energy of the Rock is 78.4 Joules, based on the given information! Hope this helps you!
Answer: first one is electrochemical
Second one is combustion
Third one is photosynthesis
Fourth one is respiration