Before any forces are applied, all cars maintain a constant speed of 2 m/s. Following that, the ranking is as follows:
1. Best: 6th car; Fr = 10 N,
2. 1st car ; Fr = 2.95 N.
3. Next: 2nd, 3rd and 5th car ; Fr = 0 N
4. Least: 4th car ; Fr = -2.04 N.
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.
Answer:
Explanation:
We define the linear charge density as:

Where L is the length of the rod, in this scenario the semicircle's length is L = πr
The potential at the center created by a differential element of charge is:

where k denotes Coulomb's constant
r signifies the distance from dq to the center of the circle
Thus.

The potential at the semicircle's center
Discharge refers to the volume of water flowing down a river or stream within a specific timeframe, typically measured in cubic feet per second or gallons per day. Generally, the discharge of a river is calculated by taking the product of the cross-sectional area of water in the channel and the average velocity of water at that section: discharge = area * velocity. In this instance, the result is 0.2 m/s.