Answer:
part a : <em>The dry unit weight is 0.0616 </em>
<em />
part b : <em>The void ratio is 0.77</em>
part c : <em>Degree of Saturation is 0.43</em>
part d : <em>Additional water (in lb) needed to achieve 100% saturation in the soil sample is 0.72 lb</em>
Explanation:
Part a
Dry Unit Weight
The dry unit weight is given as

Here
is the dry unit weight which is to be calculated- γ is the bulk unit weight given as

- w is the moisture content in percentage, given as 12%
Substituting values

<em>The dry unit weight is 0.0616 </em>
<em />
Part b
Void Ratio
The void ratio is given as

Here
- e is the void ratio which is to be calculated
is the dry unit weight which is calculated in part a
is the water unit weight which is 62.4
or 0.04 
- G is the specific gravity which is given as 2.72
Substituting values

<em>The void ratio is 0.77</em>
Part c
Degree of Saturation
Degree of Saturation is given as

Here
- e is the void ratio which is calculated in part b
- G is the specific gravity which is given as 2.72
- w is the moisture content in percentage, given as 12% or 0.12 in fraction
Substituting values

<em>Degree of Saturation is 0.43</em>
Part d
Additional Water needed
For this firstly the zero air unit weight with 100% Saturation is calculated and the value is further manipulated accordingly. Zero air unit weight is given as

Here
is the zero air unit weight which is to be calculated
is the water unit weight which is 62.4
or 0.04 
- G is the specific gravity which is given as 2.72
- w is the moisture content in percentage, given as 12% or 0.12 in fraction

Now as the volume is known, the the overall weight is given as

As weight of initial bulk is already given as 4 lb so additional water required is 0.72 lb.
Answer:
<h3>The answer is 336 kgm/s</h3>
Explanation:
The momentum of an object can be found by using the formula
<h3>momentum = mass × velocity</h3>
From the question
mass = 4 kg
velocity = 84 m/s
We have
momentum = 4 × 84
We have the final answer as
<h3>336 kgm/s</h3>
Hope this helps you
Answer:
-0.5 m/s2 as it comes to rest.
Explanation:
There will not be enough momentum from the first hill to cross another hill if he same or larger size because of the way potential energy and kinetic energy works it will not be able go as high as it could go on he fist hill.
The value of m = - 1.
<u>Explanation:</u>
An expression which contains two or more algebraic terms is called the polynomial. It is made up of two terms namely Poly and Nominal meaning many terms.
P(x) = 2x^3 - 3x^2 - mx - 6
x - 2 is one of the factor of the polynomial.
So x - 2 = 0
x = 2
Substituting the value of x,
P(2) = 2(2)^3 - 3(2)^2 - m(2) - 6
2(8) - 3(4) - m(2) - 6 = 0
16 - 12 - 2m - 6 = 0
- 2 - 2m = 0
- 2m = 2
m = - 1