Answer:
t=37 mins -> 2220sec
We want "T" which is the pendulum time constant
Using this equation
.5A=Ae^(-t/T)
The .5A is half the amplitude
Take ln of both sides to get ride of Ae
=ln(.5)=-2220/T
Now rearrange to = T
T=-2220/ln(.5) = 3202.78sec / 60 secs = 53.38 mins -> first part of the answer.
The second part is really easy. It took 37 mins to decay half way. meaning to decay another half of 50% which equals 25% it will take an additional 37 mins!
Answer: 
Explanation:
In the image attached with this answer are shown the given options from which only one is correct.
The correct expression is:

Because, if we derive velocity
with respect to time
we will have acceleration
, hence:

Where
is the mass with units of kilograms (
) and
with units of meter per square seconds
, having as a result 
The other expressions are incorrect, let’s prove it:
This result has units of
This result has units of
This result has units of
and
is a constant
This result has units of
This result has units of
This result has units of
and
is a constant
This result has units of
and
is a constant
because
is a constant in this derivation respect to
This result has units of
and
is a constant
The temperature and the solubility of sugar at that temperature
Explanation:
The amount of substance which can be dissolved in the solvent depends on the temperature.
As the temperature increases, more substance can be dissolved.
A solution is saturated if any more of the solute cannot be dissolved in the solution at the given temperature
Hence we need to know the temperature and also the amount of substance which can be dissolved(solubility) at the same temperature
a) the statement given in option A is correct
b) molar mass has no correlation with the substance's solubility and hence option b is not correct
c) The percent by volume of the solution is not needed to find if the solution is saturated and hence option c is not correct
Answer: Option (c) is the correct answer.
Explanation:
Physical properties are the properties in which there is no change in chemical composition of a substance. On the other hand, chemical properties are the properties which change the chemical composition of a substance.
For example, when water boils at
then it changes into vapor state whereas when water freezes at
then it changes state from liquid to solid.
This means only physical state of water is changing and there is no change in chemical composition of water.
Hence, we can conclude that best option describing given information is that these are the physical changes water undergoes.