Explanation:
The equation for work done by a system is as follows.
where, = change in internal energy
Q = heat absorbed or released by the system
W = work done by the system
Since it is given that it is an isothermal process. Therefore, .
Whereas internal energy depends on temperature and as there is no change in temperature so, there will be no change in internal energy of the system.
Hence, the equation will be as follows.
0 = Q - W
Q = W
Therefore, we can conclude that for an isothermal process, the work done by or on a system of ideal gas is equal to the change in Q.
Answer:
v = 24 cm and inverted image
Explanation:
Given that,
The focal length of the object, f = +8 cm
Object distance, u = -12 cm
We need to find the position &nature of the image. Let v be the image distance. Using lens formula to find it :
Put all the values,
So, the image distance from the lens is 24 cm.
Magnification,
The negative sign of magnification shows that the formed image is inverted.
Beat frequency is given by the difference of two frequencies played together
given that
Now
Answer:
1) 883 kgm2
2) 532 kgm2
3) 2.99 rad/s
4) 944 J
5) 6.87 m/s2
6) 1.8 rad/s
Explanation:
1)Suppose the spinning platform disk is solid with a uniform distributed mass. Then its moments of inertia is:
If we treat the person as a point mass, then the total moment of inertia of the system about the center of the disk when the person stands on the rim of the disk:
2) Similarly, he total moment of inertia of the system about the center of the disk when the person stands at the final location 2/3 of the way toward the center of the disk (1/3 of the radius from the center):
3) Since there's no external force, we can apply the law of momentum conservation to calculate the angular velocity at R/3 from the center:
4)Kinetic energy before:
Kinetic energy after:
So the change in kinetic energy is: 2374 - 1430 = 944 J
5)
6) If the person now walks back to the rim of the disk, then his final angular speed would be back to the original, which is 1.8 rad/s due to conservation of angular momentum.