Answer:
Mass of the disk will be 2.976 kg
Explanation:
We have given force F = 45 N
Radius of the disk r = 0.12 m
Angular acceleration 
We know that torque 
And 
So
, here I is moment of inertia
So 

We know that moment of inertia 
So 
m = 2.976 kg
Answer:
The resulting pressure is 3 times the initial pressure.
Explanation:
The equation of state for ideal gases is described below:
(1)
Where:
- Pressure.
- Volume.
- Molar quantity, in moles.
- Ideal gas constant.
- Temperature.
Given that ideal gas is compressed isothermally, this is, temperature remains constant, pressure is increased and volume is decreased, then we can simplify (1) into the following relationship:
(2)
If we know that
, then the resulting pressure of the system is:


The resulting pressure is 3 times the initial pressure.
The period of the pendulum is 8.2 s
Explanation:
The period of a simple pendulum is given by the equation:

where
L is the length of the pendulum
g is the acceleration of gravity
T is the period
We notice that the period of a pendulum does not depend at all on its mass, but only on its length.
For the pendulum in this problem, we have
L = 16.8 m
and
(acceleration of gravity)
Therefore the period of this pendulum is

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Answer:
Vapors
Explanation:
We take into account that all the energy from the lightning has been transformed into steam.

We calculate the amount of energy required by water to convert into steam.



From the lightning we received
of energy, out of which
has been used to convert the water into steam.
Energy left = 
We use this energy to convert steam into vapors.


With this temperature, we can easily interpret that the vapors will be dissociated in hydrogen and oxygen particles.