<span>6.6 degrees C
Let's model the student as a 125 w furnace that's been operating for 11 minutes. So
125 w * 11 min = 125 kg*m^2/s^3 * 11 min * 60 s/min = 82500 kg*m^2/s^2 = 82500 Joule
So the average kinetic energy increase of each gas molecule is
82500 J / 6.0x10^26 = 1.38x10^-22 J
Now the equation that relates kinetic energy to temperature is:
E = (3/2)Kb*Tk
E = average kinetic energy of the gas particles
Kb = Boltzmann constant (1.3806504Ă—10^-23 J/K)
Tk = Kinetic temperature in Kelvins
Notice the the energy level of the gas particles is linear with respect to temperature. So we don't care what the original temperature is, we just need to know by how much the average energy of the gas particles has increased by.
So let's substitute the known values and solve for Tk
E = (3/2)Kb*Tk
1.38x10^-22 J = (3/2)1.3806504Ă—10^-23 J/K * Tk
1.38x10^-22 J = 2.0709756x10^-23 J/K * Tk
6.64 K = Tk
Rounding to 2 significant digits gives 6.6K. So the temperature in the room will increase by 6.6 degrees K or 6.6 degrees C, or 11.9 degrees F.</span>
M = 2.2 g = 2.2 x 10⁻³ kg, the mass of the bug.
r = 3.0 cm = 0.03 m, the radial distance from the center.
The angular speed is
ω = 280 rpm
= (280 rev/min)*(2π rad/rev)*(1/60 min/s)
= 29.3215 rad/s
The moment of inertia of the bug is
I = mr²
= (2.2 x 10⁻³ kg)*(0.03 m)²
= 1.98 x 10⁻⁶ kg-m²
Calculate the angular momentum of the bug.
J = Iω
= (1.98 x 10⁻⁶ kg-m²)*(29.3215 rad/s)
= 5.806 x 10⁻⁵ (kg-m²)/s
Answer: 5.806 x 10⁻⁵ (kg-m²)/s
Modelling the structure of the atom is important because modeling replaces the real system with something similar but easier to examine. Option B
<h3>What is modeling?</h3>
A model is a representation of reality. We know that a model could help us to recreate reality in a manner that we could be able to relate fully with it. A model could be used also a means of explanation.
The atomic models that we have usually help us to understand more abut the atom. Therefore, modelling the structure of the atom is important because modeling replaces the real system with something similar but easier to examine. Option B
Learn more about modelling the atom:brainly.com/question/1596638
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Answer:
Explanation:
Given that,
The half-life of Barium-139 is 
A sample contains 
nuclei.
We need to find the decay constant for this decay. The formula for half life is given by :
Put all the values,
So, the decay constant is 
.
Answer:
Explanation:
Given that,
Current in a wire, I = 5 A
We need to find the magnetic field at 2m from a straight wire carrying a current of 5 A.
The magnetic field due to a wire is given by :
So, the required magnetic field is 
.
