Answer:
0.0031 m
Explanation:
y = Length of pixel = 281 μm
L = Distance to screen = 1.3 m
= Wavelength = 550 nm
d = Pupil diameter
= Angle
We have the expression
We have the expression
The pupil diameter calculates to 0.0031 m
A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of
1 answer:
Answer:
a) 27.3 m/s
b) 3.78 seconds
c) 10.576 seconds
Explanation:
Definitions: t = time elapsed, u = initial speed, v = final speed, s = distance covered, a = acceleration
a)
The gazelle's maximum velocity is calculated to be 27.3 m/s.
b)
It would take the gazelle 3.78 seconds to complete a 30-meter dash.
c)
The gazelle accelerates over a distance of 88.725 meters before maintaining constant speed.
Time = Distance divided by Speed
Total time for the gazelle to cover 200 meters equals 6.5 plus 4.076, resulting in 10.576 seconds.
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Answer:
The rate at which the root beer level is decreasing is 0.08603 cm/s.
Explanation:
The formula for the volume of the cone is:
Where V denotes the cone's volume
r indicates the radius
h signifies the height
The ratio of radius to height remains consistent throughout the cone.
Thus, we have r = d / 2 = 10 / 2 cm = 5 cm
h is 13 cm
Consequently, r / h = 5 / 13
r = {5 / 13} h
Additionally, we differentiate the volume expression in relation to time:
Given that = -4 cm³/sec (the negative sign indicates outflow)
h equals 10 cm
Hence,
The rate at which the root beer level is decreasing is 0.08603 cm/s.
Answer:
Explanation:
The position of the charge q₁ is established at (0,0)
Meanwhile, the charge q₂ is located at (x₁,0)
Thus, the electric potential energy between these two charges is determined by:
Now, the location of charge q₂ shifts from (x₁,0) to (x₂,y₂). The updated electric potential energy between the charges can be represented as:
According to the work-energy theorem, the alteration in potential energy corresponds to the work performed. This is expressed mathematically as:
Consequently, the work done by the electrostatic force on the moving charge is . Therefore, this concludes the solution.