Here We can use principle of angular momentum conservation
Here as we know boy + projected mass system has no external torque
Since there is no torque so we can say the angular momentum is conserved
![mvL = (I + mL^2)\omega](https://tex.z-dn.net/?f=mvL%20%3D%20%28I%20%2B%20mL%5E2%29%5Comega)
now we know that
m = 2 kg
v = 2.5 m/s
L = 0.35 m
I = 4.5 kg-m^2
now plug in all values in above equation
![2\times 2.5 \times 0.35 = (4.5 + (2\times 0.35^2))\omega](https://tex.z-dn.net/?f=2%5Ctimes%202.5%20%5Ctimes%200.35%20%3D%20%284.5%20%2B%20%282%5Ctimes%200.35%5E2%29%29%5Comega)
![1.75 = [4.5 + 0.245]\omega](https://tex.z-dn.net/?f=1.75%20%3D%20%5B4.5%20%2B%200.245%5D%5Comega)
![1.75 = 4.745\omega](https://tex.z-dn.net/?f=1.75%20%3D%204.745%5Comega)
![\omega = 0.37 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%200.37%20rad%2Fs)
so the final angular speed will be 0.37 rad/s
From the law of conservation of momentum
m1u1+ m2u2= m1v1+ m2v2
110*8+ 110*-10= 110*-10 + 110* v2
v2= 8 m/sec
Answer:
cycles, graphing, precise measurementation
Explanation:
(a) Zero
The maximum efficiency (Carnot efficiency) of a heat engine is given by
![\eta=1-\frac{T_C}{T_H}](https://tex.z-dn.net/?f=%5Ceta%3D1-%5Cfrac%7BT_C%7D%7BT_H%7D)
where
is the low-temperature reservoir
is the high-temperature reservoir
For the heat engine in the problem, we have:
![T_C = 300K](https://tex.z-dn.net/?f=T_C%20%3D%20300K)
![T_H = 300K](https://tex.z-dn.net/?f=T_H%20%3D%20300K)
Therefore, the maximum efficiency is
![\eta=1-\frac{300}{300}=0](https://tex.z-dn.net/?f=%5Ceta%3D1-%5Cfrac%7B300%7D%7B300%7D%3D0)
(b) Zero
The efficiency of a heat engine can also be rewritten as
![\eta = \frac{W}{Q_H}](https://tex.z-dn.net/?f=%5Ceta%20%3D%20%5Cfrac%7BW%7D%7BQ_H%7D)
where
W is the work performed by the engine
is the heat absorbed from the high-temperature reservoir
In this problem, we know
![\eta=0](https://tex.z-dn.net/?f=%5Ceta%3D0)
Therefore, since the term
cannot be equal to infinity, the numerator of the fraction must be zero as well, which means
W = 0
So the engine cannot perform any work.
Answer:
Explanation:
(a) For the calculation of the Electric field we use
![E=\frac{V}{d}=\frac{15.0V}{1.6*10^{-3}m} =9375\frac{N}{C}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BV%7D%7Bd%7D%3D%5Cfrac%7B15.0V%7D%7B1.6%2A10%5E%7B-3%7Dm%7D%20%3D9375%5Cfrac%7BN%7D%7BC%7D)
(b) The capacitance is calculate by using the expression
![C=\frac{\epsilon_{0}A}{d}=\frac{8.85*10^{-12}C^{2}/(Nm^{2})*(7.6*10^{-4}m^{2})}{1.6*10^{-3}m}=4.2*10^{-12}C](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B%5Cepsilon_%7B0%7DA%7D%7Bd%7D%3D%5Cfrac%7B8.85%2A10%5E%7B-12%7DC%5E%7B2%7D%2F%28Nm%5E%7B2%7D%29%2A%287.6%2A10%5E%7B-4%7Dm%5E%7B2%7D%29%7D%7B1.6%2A10%5E%7B-3%7Dm%7D%3D4.2%2A10%5E%7B-12%7DC)
(c) Finally, the charge on each plate is
![Q=CV=(4.2*10^{-12}C)(15V)=6.3*10^{-11}C](https://tex.z-dn.net/?f=Q%3DCV%3D%284.2%2A10%5E%7B-12%7DC%29%2815V%29%3D6.3%2A10%5E%7B-11%7DC)
I hope this is useful for you
Regards