Explanation:
Hooke's law is a law of physics that states that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance—that is, Fₛ = kx, where k is a constant factor characteristic of the spring, and x is small compared to the total possible deformation of the spring.
To solve this problem it is necessary to apply the concepts related to the Flow Rate. It is understood as the volumetric amount transported during a certain time and can be calculated as

Where
A = Area
V = Velocity
Our values are given as


Replacing and rearranging to find the velocity



Therefore the speed of the water at the end of the Nozzle is 4.59m/s
Answer:
The total charge Q of the sphere is
.
Explanation:
Given that,
Radius = 5 cm
Charge density 
We need to calculate the total charge Q of the sphere
Using formula of charge

Where,
= charge density
V = volume
Put the value into the formula

Put the value into the formula


Hence, The total charge Q of the sphere is
.
- Initial velocity=u=30m/s
- Final velocity=v=10m/s
- Time=5s




Now
For the second question
Using 2nd equation of motion





Answer:
10 m/s
Explanation:
Given:
Amplitude of atomic vibrations (λ) = 10⁻⁹ cm = 10⁻⁹ × 10⁻² m = 10⁻¹¹ m [1 cm = 10⁻² m]
Frequency of the vibrations (f) = 10¹² Hz
In order to find the atom's maximum speed, we need to make use of the formula that relates speed, frequency and wavelength of the vibration.
Therefore, the formula for maximum speed is given as:

Now, plug in the values given and solve for speed 'v'. This gives,

Therefore, the atom's maximum speed due to thermal energy provided is 10 m/s.