Answer:
Angular speed of the disc becomes 0.305 rev/s
Explanation:
As we know that there is no torque on the system of disc and the person
so we can use angular momentum conservation
here we will have

so we have



now when man moves towards the center by distance 3.5 m

r = 6 - 3.5 = 2.5 m


now we have


An example of hydro energy is: C. a hydroelectric dam.
Answer:![v=\sqrt{\dfrac{2[mgh+fh]}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B2%5Bmgh%2Bfh%5D%7D%7Bm%7D%7D)
Explanation:

cable breaks and elevator falls a distance h
Friction force f is applied by the clamps
Before it hits the spring velocity of elevator is given by the work energy theorem i.e. work done by all the forces is equal to change in kinetic energy

Where ,


![v=\sqrt{\dfrac{2[mgh+fh]}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B2%5Bmgh%2Bfh%5D%7D%7Bm%7D%7D)
Answer:
- <em>The energy put into a machine or device to make it work is named</em> <u>work input.</u>
Explanation:
<em>Machines </em>are devices to perform tasks with less effort or more easily. They can either increase the force applied or change the direction of the force or permit to apply the force at a distance.
The law of conservation of energy states that the energy is neither created nor destroyed, but when the machines do <em>work</em> some energy is dissipated in the form of heat, light or sound, due, mainly to friction.
In consequence, the <em>work output</em> is less than the <em>work input</em>.
A measure of energy use is efficiency. The efficiency is the ratio of the work output to the work input.

It would be the last one. because adding fertilizers to the soil, makes the soil rich for a plant to grow "healthy"