Answer:
0.83 ω
Explanation:
mass of flywheel, m = M
initial angular velocity of the flywheel, ω = ωo
mass of another flywheel, m' = M/5
radius of both the flywheels = R
let the final angular velocity of the system is ω'
Moment of inertia of the first flywheel , I = 0.5 MR²
Moment of inertia of the second flywheel, I' = 0.5 x M/5 x R² = 0.1 MR²
use the conservation of angular momentum as no external torque is applied on the system.
I x ω = ( I + I') x ω'
0.5 x MR² x ωo = (0.5 MR² + 0.1 MR²) x ω'
0.5 x MR² x ωo = 0.6 MR² x ω'
ω' = 0.83 ω
Thus, the final angular velocity of the system of flywheels is 0.83 ω.
Answer:
the average velocity of car A between t1 and t2greater is greater than the average velocity of B berween t1 and t2
Explanation:
Velocity is displacement over time,
Displacement is the distance covered relative to the initial starting position
For A:
at time ti, A moved from Xo to 2Xo, displacement is 2Xo.
at time t2 a moves with speed 3V, hence, his new position will be 3Xo from 2Xo which will be at 5Xo. A's displacement is 5Xo from starting point.
For B:
at time ti, B moved from Xo to 2Xo, displacement is 2Xo.
at time t2 a moves with speed V in the opposite position so he'll be back to his starting point, hence, his new position will be at Xo. A's displacement is 0 from his starting point.
Answer:
a. directive zoning
Explanation:
Directive zoning is an instrument used in master plans, whereby the city is divided into areas on which differentiated land use and land use guidelines apply, especially urban indexes. Directive zoning acts primarily by controlling two main elements: the use and size (or size) of lots and buildings. It is therefore assumed that the end result achieved through individual actions is in line with the municipality's objectives, which include proportionality between occupation and infrastructure, the need to protect fragile areas and / or cultural interest, the harmony from the volumetric point of view, etc.
Answer:
56400Joules
Explanation:
The quantity of heat required is expressed as;
Q = mL
m is the mass = 25g = 0.025kg
L is the latent heat of vaporization for steam = 2.256×10^6J/kg
Substitute into the formula as shown;
Q = 0.025×2.256×10^6
Q = 56400Joules
Hence the quantity of hear required is 56400Joules
Answer:
The displacement of the spring due to weight is 0.043 m
Explanation:
Given :
Mass
Kg
Spring constant 
According to the hooke's law,

Where
force,
displacement
Here,
(
)
N
Now for finding displacement,

Here minus sign only represent the direction so we take magnitude of it.

m
Therefore, the displacement of the spring due to weight is 0.043 m