To solve this problem it is necessary to apply the related concepts to the moment of inertia in a disk, the conservation of angular momentum and the kinematic energy equations for rotational movement.
PART A) By definition we know that the moment of inertia of a disk is given by the equation
Where
M = Mass of the disk
R = Radius
Replacing with our values we have
The initial angular momentum then will be given as
Therefore the total moment of inertia of the table and the disc will be
The angular velocity at the end point will be given through the conservation of the angular momentum for which it is understood that the proportion of inertia and angular velocity must be preserved. So
Therefore the new angular velocity is 1.15rad/s
PART B) Through the conservation of rotational kinetic energy we can identify that its total change is subject to
Therefore the change in kinetic energy is 0.034J
- my best friend shouldn’t die because if she does then who is going to make me laugh? There would be nobody to laugh at my bad jokes and there won’t be nobody there for me when I need it the most. My best friend is needed in this world with out them I would be lost.
Magnetic fields surround magnets. They attract or repel, depending on the charge of the object in it.
Where speed is distance/time, velocity is displacement/time.
What this means is that velocity is the length covered in relation to the starting point.
Speed is just the distance travelled no matter where you began.
When going around a circular track, you might have a speed value. However, since you get back to the same location at every lap, you have 0 velocity.
Hope I helped :)
Answer:
The speed of the galaxy relative to the Earth is .
Explanation:
We have,
(a) Wavelength emitted by light at distant galaxy is 434.1 nm. On earth, the wavelength of this light is measured to be 438.6 nm. It can be seen that the wavelength of light reduces as it reaches Earth. It is called Red shift. As per Doppler's effect, we can say that the galaxy is receding from the Earth.
(b) Let v is the speed of the galaxy relative to the Earth. It can be given by :
So, the speed of the galaxy relative to the Earth is .