Response: a. The mirrors and eyepiece of a large telescope are designed with spring-loaded components to quickly return to a predetermined position.
Justification:
Adaptive optics refers to a technique employed by various astronomical observatories to compensate in real-time for the atmospheric turbulence that impacts astronomical imaging.
This is executed by integrating advanced deformable mirrors into the telescope's optical pathway, operated by a set of computer-controlled actuators. This allows for obtaining clearer images despite the atmospheric fluctuations that create distortions.
It is crucial to note that this process requires a moderately bright reference star located closely to the object being studied.
However, locating such stars is not always feasible, prompting the use of a strong laser beam directed at the upper atmosphere to create artificial stars.
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Answer
Given data:
height of the dam = 15 m
effective area for water flow = 2.3 x 10⁻³ m²
Applying the principle of energy conservation:
v = 17.15 m/s
water discharge
Q = A V
Q = 2.3 x 10⁻³ x 17.15
Q = 0.039 m³/s
Answer:
Explanation:
To begin with, we must determine the pressure acting on the sphere, which is calculated using:
where
denotes the atmospheric pressure
represents the density of the water
signifies the acceleration due to gravity
indicates the depth
By substituting these values,
The sphere's radius is calculated as r = d/2 = 1.1 m/2 = 0.55 m
Thus, the sphere's total surface area can be expressed as
Consequently, the inward force acting on the sphere equals
Definamos h como la distancia que hay desde el borde del pozo hasta la superficie del agua (en metros).
Consideremos la gravedad g como 9.8 m/s² y despreciemos la resistencia del aire.
La velocidad inicial vertical del guijarro es nula.
Ya que el guijarro impacta el agua tras 1.5 segundos, entonces:
h = 0.5 * (9.8 m/s²) * (1.5 s)² = 11.025 m
Resultado: 11.025 m
