A soil sample has a void ratio of 0.72, moisture content of 12% and Gs=2.72 Determine the following: a) Dry unit weight, moist unit weight (N/m ^3) b) Weight of water in kN/m ^3
to be added for 80% degree of Saturation c) Is it possible to reach a water content of 30% without changing the present void ratio d) Is it possible to compact the soil sample to a dry unit weight of 23.5kN//m ^3
Answers
It is not possible to compact the soil sample to a dry unit weight of 23.5 kN/m³. Hence, the answer is "No".
a) Calculation of Dry unit weight and moist unit weight using the formula as below:γd= Gs × γwγm = [(100+moisture content) / 100] × γd= 2.72 × 9.81 N/m3 (γw) γm = (100+12) / 100 × γdγd = 2.72 × 9.81 N/m³= 26.6832 N/m³γm = (100+12) / 100 × 26.6832 = 29.8532 N/m³
b) Calculation of weight of water in kN/m³:γd = 26.6832 N/m³Saturation degree, S = 80%Water content = [(S/100) / Gs] × 100= [(80/100) / 2.72] × 100= 29.4118%γw = 9.81 N/m³
Weight of water = water content × γd= 29.4118/100 × 26.6832 × 9.81= 7.462 kN/m³
c) Calculation of whether it is possible to reach a water content of 30% without changing the present void ratio:
Given void ratio = e = 0.72Given
Gs = 2.72
Dry unit weight of soil, γd= Gs × γw= 2.72 × 9.81= 26.6832 N/m³Moisture content = 12%Water content = [(S/100) / Gs] × 100= [(12/100) / 2.72] × 100= 4.41176%From the given data, it is not possible to reach a water content of 30% without changing the present void ratio. Hence, the answer is "No".d) Calculation of whether it is possible to compact the soil sample to a dry unit weight of 23.5 kN/m³:Given γd = 26.6832 N/m³γd(max) = 23.5 kN/m³The maximum dry density γd(max) at optimum moisture content can be determined using standard compaction test.
From the given data, it is not possible to compact the soil sample to a dry unit weight of 23.5 kN/m³. Hence, the answer is "No".
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Related Questions
A ball is thrown horizontally from a height of 1 m and lands 5 m away. What is the time of flight of the ball?
Answers
Answer:
The time of flight of the ball is approximately 0.4515 s
Explanation:
The given information are;
The vertical height, s = 1 m
The horizontal distance travelled, x = 5 m
The direction of the initial velocity = Horizontal
Given that the vertical height is known and the ball is in free fall, the time of flight, t, will depend on the vertical motion of the ball
The equation of motion of the ball can be presented as follows;
s = u·t + 1/2·g·t²
The initial vertical velocity = 0
∴ 1 = 1/2 × 9.81 × t²
t² = 1/(1/2 × 9.81 ) ≈ 0.20387 s²
t = √0.20387 = 0.4515 s
The time of flight of the ball ≈ 0.4515 s.
which one of the four mentioned is not a plate boundary? select one: a. transform b. insurgent c. convergent d. divergent
Answers
One of the four mentioned is not a plate boundary is b. insurgent.
Plate tectonics is the theory that explains the movement of Earth's lithosphere, which is composed of large plates that glide over the mantle. The plates are separated by three types of plate boundaries: divergent, convergent, and transform. Transform boundary is where two plates slide past one another in opposite directions, either horizontally or diagonally. The San Andreas Fault is a well-known example of a transform boundary. Divergent boundaries are where two plates pull away from each other and new crust is created.
The Mid-Atlantic Ridge is an example of a divergent boundary and convergent boundary is where two plates move towards each other and one plate gets consumed or goes under the other. The Himalayas were created as a result of the collision of two convergent plates, the term insurgent is not used in plate tectonics. The correct term that describes the three main types of plate boundaries is not insurgent but instead transform, divergent, and convergent boundaries. So the correct answer is b. insurgent.
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What will the angle of refraction be for a ray of light passing from air into a sodium chloride crystal if the angle of incidence is 60.0°? The index of refraction of sodium chloride is 1.53.
Answers
Answer:
The refracted angle is r= 34.47°Explanation:
According to snell's law the incident normal and refracted ray at the point of incidence all lie in the same plane
Given
incident angle i= 60°
refracted angle r= ?
index of refraction u= 1.53.
Applying the formula
\(u= \frac{sine (i)}{sine( r)}\)
solving for r
\(1.53=\frac{ sine (60)}{ sine( r)}\\\1.53= \frac{0.866}{ sine( r)} \\\ sine( r)= \frac{0.866}{1.53} \\\sine(r)= 0.566\\\r= sine^-0.566\\\r= 34.47\)
r= 34.47°
With the aid of drawings, describe the function of an electromagnetic solenoid and supply a basic example of the solenoid in operation
Answers
A solenoid is any physical device capable of creating a magnetic field that is extremely uniform and intense inside, and very weak outside. For example, a coil of insulated and helically wound conductive wire of indeterminate length.
In the next pic we can see what are talking about:
An application of solenoid is as an elegtromagnet. An electromagnet is a type of magnet in which the magnetic field is produced by the flow of an electric current, disappearing as soon as said current ceases. Electromagnets generally consist of a large number of closely spaced coils of wire that create the magnetic field.
The operation of the solenoid can be describe as follows:
An electric current flowing in a wire creates a magnetic field around the wire, due to Ampere's Law:
\(\vec{\nabla}\times\vec{H}=\vec{J}+\frac{\partial\vec{D}}{\partial t}\)To concentrate the magnetic field, in an electromagnet the wire is wound into a coil with many turns of wire lying side by side. The magnetic field of all the turns of wire passes through the center of the coil, creating a strong magnetic field there.
The intensity of a polarized electromagnetic wave is 12 W/m^2 .Part A) What will be the intensity after passing through a polarizing filter whose axis makes the angle θ = 0∘ with the plane of polarization?The intensity of a polarized electromagnetic wave is 12 W/m^2 .Part A) What will be the intensity after passing through a polarizing filter whose axis makes the angle θ = 0∘ with the plane of polarization?
Answers
The intensity of the polarized electromagnetic wave after passing through a polarizing filter with an angle θ = 0° with the plane of polarization will be 12 W/m².
When the angle between the polarizing filter's axis and the plane of polarization is 0°, the intensity of the electromagnetic wave remains the same because the polarizing filter does not block any of the wave's components.
Summary: After passing through a polarizing filter with an angle θ = 0°, the intensity of the polarized electromagnetic wave will still be 12 W/m².
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5. How is the person in the photos separating the
charges in her hair and the balloon?
Answers
Explanation:
when a Rubber Balloon is rubbed against human hair, electrons are transferred from the hair to the rubber, giving the balloon a net negative charge and leaving the hair with a net positive charge .As the balloon is pulled away,the opposite charge on the hair causes it to be attracted the balloon
The following three questions relate to the information here: Ripples radiate out from vibrating source in water. After 6.00 s, 42 ripples have been generated with the first ripple covering a distance of 3.00 m from the source (each ripple constitutes a wave).
What is the wavelength of the ripples? (a) 0.048 m (b) 0.071 m (c) 0.43 m (d) 3.0 m
What is the frequency of the ripples? (a) 14 Hz (b) 7.0 Hz (c) 0.33 Hz (d) 0.17 Hz
What is the speed of the ripples? (a) 0.1 m s−1 (b) 0.2 m s−1 (c) 0.4 m s−1 (d) 0.5 m s
Answers
The correct answers to the given questions are as follows:
a) The wavelength of the ripples is (d) 3.0 m.
b) The frequency of the ripples is (b) 7.0 Hz.
c) The speed of the ripples is not provided in the given options. It is 21.0 m/s.
To solve these questions, we can use the formula:
v = λf,
where
v is the speed of the ripples,
λ is the wavelength, and
f is the frequency.
Wavelength of the ripplesGiven that the first ripple covers a distance of 3.00 m from the source, we can assume this is equal to the wavelength of the ripples:
λ = 3.00 m.
Therefore, the answer is (d) 3.0 m.
Frequency of the ripplesWe are given that after 6.00 seconds, 42 ripples have been generated. The frequency (f) can be calculated by dividing the number of ripples by the time:
f = number of ripples/time.
f = 42 ripples / 6.00 s.
f = 7.0 Hz.
Therefore, the answer is (b) 7.0 Hz.
Speed of the ripplesUsing the formula v = λf, we can substitute the known values:
v = (3.00 m) × (7.0 Hz).
v = 21.0 m/s.
Therefore, the answer is none of the provided options. The speed of the ripples is 21.0 m/s.
Therefore,
a) The wavelength of the ripples is (d) 3.0 m.
b) The frequency of the ripples is (b) 7.0 Hz.
c) The speed of the ripples is not provided in the given options. It is 21.0 m/s.
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The wavelength of the ripples is 0.071 m. The answer is (b) 0.071 m. The frequency of the ripples is 7.0 Hz. The answer is (b) 7.0 Hz. The speed of the ripples is approximately 0.497 m/s. The answer is (d).
After 6.00 s, 42 ripples have been generated, with the first ripple covering a distance of 3.00 m from the source.
Each ripple constitutes a wave.
(a) To find the wavelength of the ripples:
Wavelength = Total Distance / Number of Ripples
Wavelength = 3.00 / 42
Wavelength = 0.071 m
Therefore, the wavelength of the ripples is 0.071 m. The answer is (b) 0.071 m.
(b) To find the frequency of the ripples:
Frequency = Number of Ripples / Total Time
Frequency = 42 / 6.00
Frequency = 7.0 Hz
Therefore, the frequency of the ripples is 7.0 Hz. The answer is (b) 7.0 Hz.
(c) To find the speed of the ripples:
Speed = 7.0 × 0.071
Speed = 0.497 m/s
Therefore, the speed of the ripples is approximately 0.497 m/s. The answer is (d).
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A baseball player’s bat applies an average force of 220. newtons to a tennis ball for 0.03 second. The average force exerted on the racket by the tennis ball is
Answers
Answer:
98
Explanation:
Calculate the orbital period of a satellite circling the Earth at an altitude of 3500 km. Answer to the nearest minute. Show your work.
Answers
The orbital period of the satellite circling the Earth at an altitude of 3500 km is 163 minutes
How do i determine the orbital period?The orbital period for the satellite circling the Earth at an altitude of 3500 km can be obtained as follow:
Altitude = 3500 kmRadius of earth = 6400 KmSemi-major axis (a) = Radius + Altitude = 6400 + 3500 = 9900 Km = 9900 × 1000 = 9900000 mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Mass of earth (M) = 5.987×10²⁴ KgOrbital period (T) = ?T² = (4π² / GM) × a³
T² = [(4 × 3.14²) / (6.67×10¯¹¹ × 5.987×10²⁴)] × 9900000³
Take the square root of both sides
T = √[((4 × 3.14²) / (6.67×10¯¹¹ × 5.987×10²⁴)) × 9900000³]
T = 9789.15 s
Divide by 60 to express in minutes
T = 9789.15 / 60
T = 163 minutes
Thus, we can conclude that the orbital period of the satellite is 163 minutes
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What are the differences between concave lens and concave mirrors?
Answers
Explanation:
A concave mirror can form real, inverted images of various sizes and virtual, erect and enlarged images whereas a concave lens forms only virtual, errect and diminished images.
The average depth of water in a place near the coast of the Pacific ocean is 5.0 The largest tidal range in that place is 2.0m Calculate the maximum depth of water at that place
Answers
A sinusoidal function is a function based on the sine function.
The maximum depth of the water at the place, is 6.0 meters.
Reason:
The known parameters are;
The average depth of water at a place, \(d_{ave}\) = 5.0
The largest tidal range in the place, R = 2.0 m.
Required;
To calculate the maximum depth of water at the given place.
Solution:
The tidal range is the consecutive difference between highs and lows of
the tides, which is a sinusoidal motion.
Therefore, the tidal range is twice the amplitude of the tide level.
The amplitude of the tide, a = \(\dfrac{2.0}{2}\) m = 1 m
The maximum depth of water at the place, \(d_{max}\) = a + \(d_{ave}\)
∴ \(d_{max}\) = 1.0 + 5.0 = 6.0
The maximum depth, \(d_{max}\) = 6.0 meters
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How far will a ball bearing roll on a angled ramp for 6 seconds?
Answers
The height of the ramp will change the speed and distance the ball rolls because when the ramp is higher, the ball will be higher.
If the ramp is horizontal, the ball does not accelerate because gravity forces the ball into the ramp rather than along its surface. If the ramp is vertical, the ball just falls with gravity's acceleration.
The height of the ramp affects the speed and distance the ball travels because the ball is higher when the ramp is higher. The greater the gravitational potential energy of the ball, the more energy will be transferred to kinetic energy.
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9
1 point
A girl throws a football with an average velocity of 18.5 m/s a distance of 52.1 m. How long does it take the ball to cross that distance?
Answers
Time = distance / velocity
52.1 meters / 18.5 m/s = 2.82 secondsT
Two ropes are attached to a tree, F₁=5.01+3.0/and, F₂=3.01+2.0f forces of and
are applied. The forces are coplanar (in the same plane). Find the direction of the net
force.
Answers
In physics, we use vector addition to calculate the net force direction when more than one force is applied. Given the separate x and y components of two forces, F₁ and F₂, we sum the components respectively to find the x and y components of the net force. The arctangent of the ratio Fy/Fₓ then gives the direction in degrees relative to the x-axis.
Explanation:In physics, specifically in mechanics, you can calculate the net force direction when two forces, F₁ and F₂, are being applied by using vector addition. Vector addition can be visualized graphically using arrows or mathematically using components. In this case, since the forces are given in the form of components (x and y), let's handle it mathematically, the x-component of the net force (Fₓ) will be the sum of the x-components of F₁ and F₂. Similarly, the y-component of the net force (Fy) will be the sum of the y-components of F₁ and F₂. This gives us Fₓ = 5.01N + 3.01N and Fy = 3.0N + 2.0N. The direction of the net force can then be calculated using arctangent of the ratio Fy/Fₓ. This will give the direction in degrees relative to the x-axis.
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hiii please help i’ll give brainliest if you give a correct answer please thanks!
Answers
Answer:
the object will remain at rest
What would happen if the distance between Earth and the moon increased?
Answers
Answer:
Tide rising and falling would be different from the moon near the Earth .
Identify the following major moons of Jupiter.
A. Europa
B. Ganymede
C. Io
D. Callisto
Answers
These are the four largest moons of Jupiter and are collectively known as the Galilean moons. They were discovered by Galileo Galilei in 1610 and are named after characters from Greek mythology. Europa, Ganymede, Io, and Callisto are all fascinating celestial bodies with unique features and scientific significance
Europa is known for its subsurface ocean that may harbour conditions suitable for life, Ganymede is the largest moon in the solar system, Io is the most volcanically active object in the solar system, and Callisto is heavily cratered and geologically diverse. These moons have been studied extensively by spacecraft missions such as NASA's Galileo and Juno missions, providing valuable insights into the nature of Jupiter's moons and their geological processes. The major moons of Jupiter are Europa, Ganymede, Io, and Callisto. The major moons of Jupiter are Europa, Ganymede, Io and Callisto.
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A satellite is in orbit 35600 km above the surface of the Earth. Its angular velocity is 7.27 * 10 ^ - 5 rad/s. What is the velocity of the satellite? (The radius of the Earth is 6400 km.)
Answers
The linear velocity of the satellite at the given angular speed and position is determined as 3,053.4 m/s.
What is the linear velocity of the satellite?
The linear velocity of the satellite is calculated by applying the following equations.
v = ωr
where;
ω is the angular velocity of the satellite r is the distance of the satellite from the center of the EarthThe linear velocity of the satellite is the tangential velocity of the satellite and it is measured along the axis or circumference of the Earth.
The distance of the satellite from the center of the Earth is calculated as follows;
r = 35600 km + 6400 km
r = 42,000 km
r = 42,000,000 m
The linear velocity of the satellite is calculated as follows;
v = (7.27 x 10⁻⁵ rad/s) x (42,000,000)
v = 3,053.4 m/s
Thus, the linear velocity of the satellite depends on the angular velocity and distance.
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Shrill sound is of -------------- *
Higher frequency
Lower frequency
Higher amplitude
Lower amplitude
Answers
Answer:
Higher frequency.
Explanation:
Sound are mechanical waves that are highly dependent on matter for their propagation and transmission.
Sound travels faster through solids than it does through either liquids or gases. A student could verify this statement by measuring the time required for sound to travel a set distance through a solid, a liquid, and a gas.
Mathematically, the speed of a sound is given by the formula:
\( Speed = wavelength * frequency \)
Generally, the frequency of a sound wave determines the pitch of the sound that would be heard.
A shrill sound refers to a type of sound that is typically sharp, high pitched and as such has higher frequency.
Hence, shrill sound is of higher frequency.
Calculate the kinetic energy of a 1.15 kg bowling ball rolling down the lane at 2 m/s. Include the units.
Answers
We will have the following:
\(\begin{gathered} k=\frac{1}{2}(1.15kg)(2m/s)^2\Rightarrow k=\frac{23}{10}J \\ \\ \Rightarrow k=2.3J \end{gathered}\)So, the nergy is 2.3 J.
Which direction does heat flow from?
hot to cold
cold to hot
hot to hot
cold to cold
Answers
Answer:
A.) Hot to cold.
Explanation:
I took the quiz on Edge, 2022.
(See the attachment below.)
Hope this helped! <3
Based on scientific information, the direction that heat generally flow from is: A. hot to cold.
What is heat?Heat is also known as thermal energy and it refers to a form of energy that is only transferred from an object to another due to a difference in temperature.
During the process of heat conduction, heat would only be transferred between objects that are having different levels of temperature and objects that are directly in contact with one another.
In conclusion, heat is generally transferred from a hot object to a cold object as a result of their varying temperature.
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Particles q1 = -20.5 MC, 92 = -9.30 MC, and
93 = -31.6.0 MC are in a line. Particles q1 and q2 are
separated by 0.980 m and particles 92 and 93 are separated by 0.750 m. What is the net force on particle 92?
Answers
The magnitude of the net force on particle Q₂ is 6.487 x 10⁶ N.
What is the net force on particle Q₂?
The net force on particle Q₂ is obtained by applying Coulomb's law of electrostatic force.
Force between Q₁ and Q₂;
F₁₂ = kq₁q₂/r²
where;
k is Coulomb's constantr is the distance between q₁ and q₂q represent chargesF₁₂ = (9 x 10⁹ x 20.5 x 10⁻³ x 9.3 x 10⁻³)/(0.98)²
F₁₂ = 1.787 x 10⁶ N
Force between Q₂ and Q₃;
F₂₃ = kq₂q₃/r²
F₂₃ = (9 x 10⁹ x 9.3 x 10⁻³ x 31.6 x 10⁻³)/(0.75)²
F₂₃ = 4.7 x 10⁶ N
The net force on particle Q₂;
F(net) = F₁₂ + F₂₃
F(net) = 1.787 x 10⁶ N + 4.7 x 10⁶ N
F(net) = 6.487 x 10⁶ N
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how does the burning of fossils contribute to global warming
A. burning fossil fuels adds greenhouse gasses like carbon dioxide to the atmosphere.
B. burning fossil fuels introduces carbon dioxide to parts of the atmosphere that never had it
C. burning fossil fuels removes oxygen and other gasses from the atmosphere
D. burning fossil fuels removes carbon dioxide and other gasses,
Answers
A globe (model of the Earth) is a hollow sphere with a radius of 16 cm. By wrapping a cord around the equator of a globe and pulling on it, a person exerts a torque on the globe of 120 N • m for 1.2 s. What angular momentum does the globe have after 1.2 s?
Answers
Answer:
144 kg m^2/s
Explanation:
-8. A vessel is filled with a 20cm of water. When an irregular body of mass 800gm is immersed the volume of water is increased to 60cm3. What is the density of irregular shaped body?
Answers
Answer:
13.33 g/cm3
Explanation:
density = mass/volume
mass of irregular body = 800 grams
new volume = 60 cube cm
= density = 800/60 = 13.333 g/cm3
A 50.0 kg gorilla is sitting on the limb of a tree 4.00 meters above the ground. The gorilla jumps down from the tree limb to the ground. Use the conservation of energy to find the velocity of the gorilla just before hitting the ground.
*Help Quickly*
Answers
The velocity of the gorilla of mass 50 kg, sitting 4 meters above the ground just before hitting the ground is 8.85 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the gorilla, we use the formula below
Formula:
v² = 2gh..................... Equation 1Where:
v = Velocity of the gorilla just before hitting the groundh = Height of the gorillag = Acceleration due to gravityFrom the question,
Given:
h = 4 mg = 9.8 m/s²Substitute these values into equation 1 and solve for v
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Which is NOT a part of an electric motor?
a.
armature
b.
brushes
c.
commutator
d.
slip ring
Answers
Fill in the blank.
_______________, not velocity, is used to calculate the average acceleration.
Answers
Answer:
speed
Explanation:
Change in velocity, not velocity, is used to calculate the average acceleration. Velocity is displacement over time.
Acceleration:
It is defined as the ratio of change in velocity to time. It is given by:
Acceleration= Change in velocity / time
a= u-v / t
where,
u= initial velocity
v= final velocity
t= time
Thus, we can conclude that a change in velocity is used to calculate average acceleration.
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Three forces bear on an object - f1=40.0 n due east (0.00 deg); f2=30.0 n due west (180 deg); and f3=30.0 n due northwest (135 deg). what are the resultant and equilibrium forces
Answers
The resultant force is approximately 24.1 N at an angle of -62.2° (southwest direction). The object is not in equilibrium.
To find the resultant force, we need to add the individual forces using vector addition. The equilibrium force refers to a situation where the net force is zero.
Given:
f₁ = 40.0 N, east (0.00°)
f₂ = 30.0 N, west (180°)
f₃ = 30.0 N, northwest (135°)
To find the resultant force, we can break down the forces into their horizontal (x) and vertical (y) components:
f₁x = f₁ × cos(0°)
f₁y = f₁ × sin(0°)
f₂x = f₂ × cos(180°)
f₂y = f₂ × sin(180°)
f₃x = f₃ × cos(135°)
f₃y = f₃ × sin(135°)
Next, we can calculate the resultant components by adding the corresponding x and y components:
resultant_x = f₁x + f₂x + f₃x
resultant_y = f₁y + f₂y + f₃y
To find the magnitude and direction of the resultant force:
resultant_magnitude = √(resultant_x² + resultant_y²)
resultant_direction = atan(resultant_y / resultant_x)
If the resultant force is zero (resultant_magnitude = 0), the object is in equilibrium.
Calculate the values using the given forces:
f₁x = 40.0 N × cos(0°) = 40.0 N × 1 = 40.0 N
f₁y = 40.0 N × sin(0°) = 40.0 N × 0 = 0.0 N
f₂x = 30.0 N × cos(180°) = 30.0 N × -1 = -30.0 N
f₂y = 30.0 N × sin(180°) = 30.0 N × 0 = 0.0 N
f₃x = 30.0 N × cos(135°) = 30.0 N × -0.7071 = -21.2135 N
f₃y = 30.0 N × sin(135°) = 30.0 N × 0.7071 = 21.2135 N
resultant_x = 40.0 N + (-30.0 N) + (-21.2135 N) = -11.2135 N
resultant_y = 0.0 N + 0.0 N + 21.2135 N = 21.2135 N
resultant_magnitude = √((-11.2135 N)² + (21.2135 N)²) ≈ 24.1 N
resultant_direction = atan(21.2135 N / -11.2135 N) ≈ -62.2°
Therefore, the resultant force is approximately 24.1 N at an angle of -62.2° (southwest direction). The object is not in equilibrium.
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A transformer has 100 turns in its primary coil and 75 turns in its secondary coil. If the input voltage is 12.0 V, what is the output voltage?
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