Answer:
0.0605 Kg m^2
Explanation:
In this case where we have find he moment of inertia of this object about an axis perpendicular to the x-y plane and passing through the origin, we can just add three moment of inertia's .
MOI= 0.25×0.3^2 + 0.35×0.4^2- 0.45×0.2^2
= 0.0605 Kg m^2
Answer:
1.Fluorine is having 7 number of electrons and 1 makes bond.
Electronic configuration - 1S² 2S² 2P⁵
1 electron need to get in stable states 2P⁶.
2.Oxygen is having 6 balance electron and 2 makes bonds.
Electronic configuration - 1S² 2S² 2P⁴
2 electron need to get in stable states 2P⁶.
3.Nitrogen is having 5 balance electron and 3 makes bonds.
Electronic configuration - 1S² 2S² 2P³
3 electron need to get in stable states 2P⁶.
4. Carbon having 4 balance electron and 4 makes bonds.
Electronic configuration - 1S² 2S² 2P²
4 electron need to get in stable states 2P⁶.
Answer:
Emec = 94050 [J]
Explanation:
In order to solve this problem, we must understand that all thermal energy is converted into mechanical energy.
The thermal energy can be calculated by means of the following expression.

where:
Q = heat [J]
Cp = specific heat of water = 4186 [J/kg*°C]
m = mass = 300 [g] = 0.3 [kg]
T_final = 95 [°C]
T_initial = 20 [°C]
Now we can calculate the heat, replacing the given values:
![Q=0.3*4180*(95-20)\\Q= 94050[J]](https://tex.z-dn.net/?f=Q%3D0.3%2A4180%2A%2895-20%29%5C%5CQ%3D%2094050%5BJ%5D)
Since all this energy must come from the mechanical energy delivered by the exercise bike, and no energy is lost during the process, the mechanical energy must be equal to the thermal energy.
![Q=E_{mec}\\E_{mec}=94050[J]](https://tex.z-dn.net/?f=Q%3DE_%7Bmec%7D%5C%5CE_%7Bmec%7D%3D94050%5BJ%5D)
Answer:
Width = 680 [m]
Explanation:
To solve this problem we must know the speed of sound in the air, conducting an internet search, we find that this speed has a value of v = 340 [m/s].
We apply the following kinematic equation, which relates space to time, to define speed.
v = x /t
where:
x = distance [m]
t = time [s]
v = velocity [m/s]
Now replacing:
x = 340 * 4
x = 1360 [m]
But the width of the cannon is calculated when the sound wave hits the wall of the canyon, so this width is half the distance.
Width = 1360 / 2 = 680 [m]
Mass of base ball = 0.25kg
Time = t = 0.0075/s
Force = F = 18,500N
Impulse = J = ?
Formula = Impulse = Force x time
= 18,500x0.0075
= 138.75 N-S
Rounded: 140 kg