Argon - Noble gas
Group - 18
Period - 3
Hope this random information helps :)
Answer:
![\omega_2=2.304\ rev/s](https://tex.z-dn.net/?f=%5Comega_2%3D2.304%5C%20rev%2Fs)
Explanation:
Given that
Mass of disc,M=3 kg
radius r= 65 cm
Mass of small mass ,m=0.07 kg
Initial speed = 2.2 rev/s
If external torque is zero then angular momentum of system will remain conserve.
Moment of inertia of disc at initial condition
![I_1=\dfrac{Mr^2}{2}+mr^2](https://tex.z-dn.net/?f=I_1%3D%5Cdfrac%7BMr%5E2%7D%7B2%7D%2Bmr%5E2)
![I_1=\dfrac{3\times 0.65^2}{2}+0.07\times 0.65^2](https://tex.z-dn.net/?f=I_1%3D%5Cdfrac%7B3%5Ctimes%200.65%5E2%7D%7B2%7D%2B0.07%5Ctimes%200.65%5E2)
![I_1=0.66\ kg.m^2](https://tex.z-dn.net/?f=I_1%3D0.66%5C%20kg.m%5E2)
Moment of inertia of disc at final condition
![I_2=\dfrac{Mr^2}{2}](https://tex.z-dn.net/?f=I_2%3D%5Cdfrac%7BMr%5E2%7D%7B2%7D)
![I_2=\dfrac{3\times 0.65^2}{2}](https://tex.z-dn.net/?f=I_2%3D%5Cdfrac%7B3%5Ctimes%200.65%5E2%7D%7B2%7D)
![I_2=0.63\ kg.m^2](https://tex.z-dn.net/?f=I_2%3D0.63%5C%20kg.m%5E2)
So from conservation of angular momentum
![I_1\omega_1=I_2\omega_2](https://tex.z-dn.net/?f=I_1%5Comega_1%3DI_2%5Comega_2)
![0.66\times 2.2=0.63\times \omega_2](https://tex.z-dn.net/?f=0.66%5Ctimes%202.2%3D0.63%5Ctimes%20%5Comega_2)
![\omega_2=2.304\ rev/s](https://tex.z-dn.net/?f=%5Comega_2%3D2.304%5C%20rev%2Fs)
This is final speed of disc after small mass flies off from the disc.
Answer:
ΔV = 0.98 L
Explanation:
First, we will calculate the increased volume using Charles' Law:
![\frac{V_1}{T_1} = \frac{V_2}{T_2}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BT_1%7D%20%3D%20%5Cfrac%7BV_2%7D%7BT_2%7D)
where,
V₁ =initial volume = 18.9 L
V₂ = final volume = ?
T₁ = initial temperature = 15°C + 273 = 288 k
T₂ = final temperature = 30°C + 273 = 303 k
Therefore,
![\frac{18.9\ L}{288\ k} = \frac{V_2}{303\ k}](https://tex.z-dn.net/?f=%5Cfrac%7B18.9%5C%20L%7D%7B288%5C%20k%7D%20%3D%20%5Cfrac%7BV_2%7D%7B303%5C%20k%7D)
V₂ = 19.88 L
Now, we calculate the change in volume:
ΔV = V₂ - V₁ = 19.88L - 18.9 L
<u>ΔV = 0.98 L</u>
This is the volume of gasoline that will spill out.
You said check all that apply but the only correct answer i see is Respiration Rate.