Answer:
The accurate statements are
2. The train is not an inertial frame of reference.
5. The train could be moving at a constant velocity in a circular path.
8. The train must be undergoing acceleration.
Explanation:
As we observe that the string forms an angle with the horizontal
we can formulate the force equation relevant to the given ball


similarly in the Y direction

Thus we conclude


This leads us to deduce that the train is accelerating with an acceleration identical to that of gravity
The correct statements will be
2. The train is not an inertial frame of reference.
5. The train could be moving at a constant speed in a circular path.
8. The train must be experiencing acceleration.
The desired electric flux Φ is calculated from the electric field E=(2.5• j + 3.5• k) ×10³ N/C and a circular path with a radius r=2.5m. The electric flux across a surface is represented as Φ=∮E•dA. Given the area A lies in the yz-plane, the normal orientation flows in the x-direction with A=πr² leading to dA=2πrdr •i. Thus, Φ evolves to Φ=∮(2.5j + 3.5k)×10³•(2πrdr i). Integrating from r=0 to r=2.5m and noting that components in different directions yield zero, results in Φ equaling 0 Nm²/C. Regarding the second part, when the area vector is at a 45° angle to the xy-plane, we redefine dA as (2πrCos45 i + 2πrSin45 j) dr, leading to the new flux calculation as Φ=10³∮ 5πrSin45 dr, integrating from 0 to 2.5m. With substitutions made, the result comes to Φ=34.71×10³ Nm²/C.
Explanation:
The formula illustrating the relationship between resistance and temperature is as follows:
R =
![R_{o} + \alpha [T_{2} - T_{1}]](https://tex.z-dn.net/?f=R_%7Bo%7D%20%2B%20%5Calpha%20%5BT_%7B2%7D%20-%20T_%7B1%7D%5D)
where, R = final resistance
= initial resistance
= temperature coefficient of resistivity
= final temperature 
= initial temperature
Given data as follows.
R = 36 ohm,
= 3 ohm
= 0.0045
Substituting the provided values into the above formula gives us the following.
R = 
36 =
=
![3 + 0.0045 \times [T_{2} - 293]](https://tex.z-dn.net/?f=3%20%2B%200.0045%20%5Ctimes%20%5BT_%7B2%7D%20-%20293%5D)
= 7626.33 K
Thus, it can be concluded that
the temperature of the light bulb at 12.0 V is 7626.33 K.
Answer:

According to the guideline for kilometers, every three seconds between a lightning strike and the subsequent thunder indicates the distance to the flash in kilometers.
Explanation:
To calculate the speed of sound in meters per second, we need to utilize certain conversion factors. One mile corresponds to 5 seconds after witnessing the lightning. Furthermore, 1 mile comprises 5280 feet, and 1 foot is equivalent to 0.3048 meters. This information is sufficient to solve the issue. The conversion ratios can be set up like this:

Observe how the ratios are organized such that the units cancel out during calculations. One ratio has miles in the numerator while the other has them in the denominator, leading to cancellation. The same applies to the feet.
The question requires us to provide the answer to one significant figure, resulting in the speed of sound rounding to 300m/s.
For the second part, we will again utilize conversions. This time we will set our ratios in reverse and realize that there are 1000 meters in 1 kilometer, leading us to:

This signifies that for every 3.11 seconds, the distance to the lightning strike is 1 kilometer. Since this is a fabric of general knowledge, we round to the nearest whole number for simplicity, establishing the guideline:
According to the rule for kilometers, every three seconds between a lightning flash and the following thunder gives the distance to the flash in kilometers.