The work performed to elevate the box equals 515.03 J.
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.
Explanation:
Data provided:
Area A = 10 cm×2 cm = 20×10⁻⁴ m²
Separation distance d between the plates = 1 mm = 1×10⁻³ m
Battery voltage, or emf = 100 V
Resistance = 1025 ohm
Solution:
In an RC circuit, the voltage across the plates varies with time t. At the outset, the voltage matches that of the battery, V₀ = emf = 100V. However, after a certain time t, both the resistance and capacitance alter this, leading to a final voltage V expressed as

Applying the natural logarithm to both sides,

(1)
Next, we can determine the capacitance using the plates' area.
C = ε₀A/d
= 
= 18×10⁻¹²F
We can now find the time it takes for the voltage to drop from 100 to 55 V by substituting C, V₀, V, and R values into equation (1)

= -(1025Ω)(18×10⁻¹² F) ln( 1 - 55/100)
= 15×10⁻⁹s
= 15 ns
In the study of physics, Hooke's law can be expressed as:
F = kx
This law indicates that the spring force F is proportional to the extension x, with k being the spring constant.
In experiments, this is often examined using the setup illustrated in the included figure. The spring is tested, and a known weight is applied underneath it. This weight exerts a gravitational pull, essentially its weight, on the spring. While the spring elongates, the displacement can be measured using a ruler.
Several potential errors can arise during this experiment. Firstly, the person's measurement reading may be faulty. Digital scales offer greater accuracy as they reduce human error, while ruler readings can be subjective, especially if not viewed at eye level. Additionally, the object's weight may be inaccurately measured if the scale is untrustworthy. Lastly, the measuring equipment may not be correctly calibrated.