To solve this problem we will use the concepts related to energy conservation. Both potential energy, such as rotational and linear kinetic energy, must be conserved, and the gain in kinetic energy must be proportional to the loss in potential energy and vice versa. This is mathematically


Where,
m = mass
v = Tangential Velocity
= Angular velocity
I = Moment of Inertia
g = Gravity
Replacing the value of Inertia in a Disk and rearranging to find h, we have



Replacing,


Therefore the height of the inclined plane is 5.6m
Answer:
Explanation:
We can use the work function equation for a photoelectric experiment:

- h is the plank constant
- c is the speed of light
- λ is the wave length
- K is the kinetic energy (or K=eΔV)
So we will have:
I hope it helps you!
Answer:
The area is 15.502 km².
The fraction is 
Explanation:
Given that,
Daily average insolation = 6 kWh/m²
Efficiency = 20%
Population = 324 million
Per capita power = 1378 watts
Area of tennessee = 109250 km²
We need to calculate the daily power required
Using given data

Put the value into the formula



We need to calculate the total energy per day
Using given data


We need to calculate the out of total energy
Using energy and efficiency



We need to calculate the area
Using formula of area

Put the value into the formula


We need to calculate the fraction of Tennessee that is required to power
Using given data

Put the value into the formula


Hence, The area is 15.502 km².
The fraction is 
Answer:
Quantity with direction and magnitude
Displacement
Explanation:
Answer:
the angle the ladder makes with the floor as seen by an observer on Earth is 71.9°
Explanation:
Given the data in the question and as illustrated in the diagram below.
speed of the ship v = 0.90c
base of the ladder from the wall x₀ = 3.0 m
top of the later above the floor y = 4.0 m
we determine angle θ.
from the diagram,
tanθ = y/x₀
tanθ = y / x₀√( 1 - v²/c² )
we substitute
tanθ = 4.0 / 3.0√( 1 - ((0.9c)²/c²) )
tanθ = 4.0 / 3.0√( 1 - ((0.9²)c²/c²) )
tanθ = 4.0 / 3.0√( 1 - (0.9²) )
tanθ = 4.0 / 3.0√( 1 - 0.81 )
tanθ = 4.0 / 3.0√0.19
tanθ = 4.0 / 1.30766968
tanθ = 3.058876
θ = tan⁻¹( 3.058876 )
θ = 71.8965 ≈ 71.9°
Therefore, the angle the ladder makes with the floor as seen by an observer on Earth is 71.9°