Answer:
Part a)
A = 0.0581 m
Part b)
T = 0.37 s
Explanation:
A slice is dropped onto the plate from a height of 0.250 m,
therefore the speed of the slice upon impact is calculated as
We know that
Now applying the conservation of momentum:
From this equation, we find:
When the slice rests on the plate, the new mean position can be expressed as
We also determine that the speed of SHM is represented as
Here, we derive values from
Using the previous formula gives:
Part b)
The time period for the scale is computed as
Answer: yes.
Explanation: The type of light striking the metal is visible light.
There are three factors involved:
1. The temperature
2. The specific heat of the metal
3. The thermal conductivity of the metal.
The increase in temperature of the metal is influenced by how light energy is absorbed and reflected; it will absorb some of the energy and won't reflect all of it.
When an object absorbs visible light, it transforms the short wavelength light into longer wavelength heat, leading to a temperature rise.
Response:
The temperature required to achieve this is 286.7°C.
Justification:
Provided information:
Diameter = 20 mm = 0.02 m
Le = characteristic length = 0.02/4 = 5x10⁻³m
Thermal conductivity (K) = 0.3 W/m K
Density times specific heat (ρCp) = 1040 kJ/m³ K = 1.04x10⁶
Time (t) = 3 minutes = 180 seconds
Convection heat transfer coefficient (h) = 10 W/m² K
According to transient heat analysis:
200°C is the minimum temperature requirement; thus, we assume a value of 210°C (10°C higher) to calculate the necessary temperature:
Response:
In this scenario, the refractive index of seawater is 1.33, while the index for air is 1. Because of this, the refraction angle is smaller than the angle of incidence, making the fish appear closer
Conversely, when viewed from the fish's perspective looking at a person's face, the angle has increased, making the person appear further away
Clarification:
This discussion is analyzed by applying the refraction law, which states that when a light ray crosses from one medium to another, its path bends due to differing indices of refraction,[ [TAG_20]]
n₁ sin θ₁ = n₂ sin θ₂
where n₁ and n₂ are the refractive indices and θ represents the angles for each medium.
Here, with seawater being 1.33 and air at 1, the refraction angle remains lesser than the angle of incidence, leading to the fish appearing nearer
1 sin θ₁ = 1.33 sin θ₂
θ₂ = sin⁻¹ ( 1/1.33 sin θ₁)
When the fish gazes at the human face, the angle's reason increases, hence making the face seem more distant
