The gravitational force between the two objects, after the mass of both objects was quintupled and the distance between the objects was doubled, is 2.56 units.
What is the gravitational force between the two objects?
The gravitational force between two objects is given by the formula:
F = G * (m1 * m2) / r^2
where;
F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.If the mass of both objects is quintupled, their new masses become 5 times their original masses. If the distance between the objects is doubled, their new distance becomes 2 times their original distance.
Plugging these values into the formula, we get:
New F = G * [(5m) * (5m)] / (2r)^2
New F = G * (25 * m^2) / (4 * r^2)
New F = (25/4) * (G * m^2 / r^2)
Since the original gravitational force was 16 units, we can set up a proportion:
16 / F = 1 / (25/4)
Multiplying both sides by F, we get:
16 = F * (25/4)
Multiplying both sides by 4/25, we get:
F = 16 * (4/25)
F = 2.56 units
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as you accelerate upward in an elevator, which force exerted on you has the greatest magnitude?
As you accelerate upward in an elevator, the force exerted on you that has the greatest magnitude is the apparent weight, which is the normal force exerted by the elevator floor on your feet.
The apparent weight is equal in magnitude and opposite in direction to the force of gravity, and it increases as the elevator accelerates upward. This is because the force of gravity remains constant, but the elevator floor exerts an additional force on your feet to accelerate your body along with the elevator. Therefore, the apparent weight, or the normal force, is the greatest force exerted on you as you accelerate upward in an elevator.
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what is keplers third law?
Kepler's third law states that the square of the period of a planet's orbit around the sun is proportional to the cube of its average distance from the sun.
Kepler's third law, also known as the law of harmonies, is a mathematical relationship that describes the motion of planets around the sun. It states that the ratio of the cube of a planet's average distance from the sun to the square of its orbital period is constant for all planets in the solar system.
Mathematically, this can be expressed as T^2 = k*R^3, where T is the orbital period of the planet, R is its average distance from the sun, and k is a constant of proportionality. Kepler's third law is an important tool for astronomers to study and understand the dynamics of the solar system.
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What are the 5 main interactions of light with matter?
In the actual world, there are five primary types of interactions between light and matter. These are emission, scattering, reflection, absorption, and transmission.
What is the interaction of light with solid?Maxwell's equations, which regard the solid as a continuum and result in its optical characteristics as a measure of the frequency of the electromagnetic energy: the complex dielectric constant, are used to explain the interaction of light with solids.
What happens as light and matter interact?As light enters a material, transmission happens. As light moves across a medium, it may do so without being distorted or dispersed by the medium. When light transmits its energy to matter instead of being reflected nor transmitted by it, this is known as absorption of light.
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The relationship among mass, force, and acceleration is explained by
O Newton's first law of motion
O Newton's second law of motion
ONewton's third law of motion
ONewton's thirty first law of motion
The relationhip is shown by the Newton's second law of motion
What is Newton second law?Newton's second law of motion is a fundamental principle in physics that describes the relationship between the motion of an object and the forces acting on it. The law states that the acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to its mass. Mathematically, the law can be expressed as:
F = ma
where F is the net force applied to an object, m is the mass of the object, and a is the resulting acceleration of the object. In other words, the greater the force applied to an object, the greater its acceleration will be, and the greater its mass, the smaller its acceleration will be for a given force.
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if 309 j of heat are removed from 10.0 g of ice (specific heat = 2.06 kg ºc) at -5.5 ºc, what is the final temperature of the ice sample?
The final temperature of the ice sample remains at -5.5 ºC since the heat transferred is used for melting the ice.
In this issue, we are given how much intensity eliminated (309 J) from an example of ice with a mass of 10.0 g and a particular intensity limit of 2.06 kJ/kgºC. The underlying temperature of the ice is - 5.5 ºC, and we are approached to find the last temperature of the ice test.
To tackle this issue, we can utilize the equation Q = mCΔT, where Q is how much intensity moved, m is the mass of the substance, C is the particular intensity limit, and ΔT is the adjustment of temperature.
Since the ice is at its softening mark of 0 ºC, the intensity moved is utilized to liquefy the ice, as opposed to expand its temperature. In this way, we can utilize the recipe Q = mL, where L is the idle intensity of combination of ice (334 J/g).
Utilizing this equation, we can find that how much ice dissolved is 309 J/334 J/g = 0.925 g. This leaves 10.0 g - 0.925 g = 9.075 g of ice.
Since the ice didn't change temperature during this cycle, its last temperature is still - 5.5 ºC.
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Groundwater is a part of which realm?
Groundwater is a part of the geosphere realm, which refers to the solid Earth.
The geosphere includes all of the land, rocks, and minerals that make up the Earth's crust, mantle, and core. Groundwater is water that is stored beneath the Earth's surface in rock formations called aquifers, which are part of the geosphere.
Groundwater is an important resource for drinking water, irrigation, and industrial use, and it plays a critical role in many natural systems, such as the water cycle and the formation of landscapes such as caves, sinkholes, and canyons.
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The vector u results when a vector u-v is added to the vector v. True or false?
It is false that the vector u results when a vector u-v is added to the vector v.
The basic definition of the vector it that it is any physical quantity that has a magnitude as well as direction and it follows vector laws of addition. i.e. Parallelogram law of vector addition or triangle law of vector addition.
Now, it is stated that the vector u results when a vector u-v is added to the vector v, this statement may or may not be true because we cannot be certain about it. Because we do not know the direction of the two vectors u and v. This is why we conclude that the statement is false.
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A car of mass 900 kg is driving along a horizontal road at 15 m/s when the brakes are applied and the wheels lock. The car glides on a thin 0. 003 mm layer of water with a contact area of 0. 4 m2. Calculate
A) The frictional force can be calculated as: 177.18 N.
B) The acceleration of the car is 0.197 m/s^2.
C) It takes approximately 15.23 seconds for the car to come to a complete stop.
Assuming that the coefficient of friction between the tires and the water is approximately 0.02, the frictional force between the tires and the water can be calculated as follows:
Frictional force = coefficient of friction * contact area * pressure
The pressure can be calculated as the weight of the car divided by the contact area:
Pressure = weight / contact area = (900 kg * 9.81 m/s^2) / 0.4 m^2 = 22,147.5 Pa
Therefore, the frictional force can be calculated as:
Frictional force = 0.02 * 0.4 m^2 * 22,147.5 Pa = 177.18 N
The acceleration of the car can be calculated using Newton's second law:
Net force = mass * acceleration
The net force acting on the car is the frictional force, since the wheels are locked and there is no other external force acting on the car. Therefore:
Frictional force = mass * acceleration
Acceleration = Frictional force / mass = 177.18 N / 900 kg = 0.197 m/s^2
The time it takes for the car to come to a complete stop can be calculated using the kinematic equation:
Vf^2 = Vi^2 + 2 * acceleration * distance
where Vf is the final velocity (0 m/s), Vi is the initial velocity (15 m/s), and distance is the distance the car travels before coming to a stop. Solving for distance:
distance = (Vf^2 - Vi^2) / (2 * acceleration) = (0 m/s - (15 m/s))^2 / (2 * 0.197 m/s^2) = 114.22 m
The time it takes for the car to travel this distance can be calculated using the kinematic equation:
distance = (Vi + Vf) / 2 * time
Solving for time:
time = 2 * distance / (Vi + Vf) = 2 * 114.22 m / (15 m/s + 0 m/s) = 15.23 s
Therefore, it takes approximately 15.23 seconds for the car to come to a complete stop.
The given question is incomplete, the complete question is
A car of mass 900 kg is driving along a horizontal road at 15 m/s when the brakes are applied and the wheels lock. The car glides on a thin 0. 003 mm layer of water with a contact area of 0. 4 m2. Calculate
the following:
A) The frictional force between the tires and the water.
B) The acceleration of the car.
C) The time it takes for the car to come to a complete stop.
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according to dr. hayne, which spacecraft mission was the first to explore the planets in the outer solar system
According to Dr. Hayne, the spacecraft mission that was the first to explore the planets in the outer solar system is Mariner 9.
On May 30, 1971, Mariner 9 lifted off from Cape Canaveral, Florida. A little over five months later, it entered orbit around Mars, thereby becoming the first spacecraft ever to orbit a planet other than our own Earth. During the initial stages of planetary exploration, it was customary for both these superpowers to launch pairs of spacecraft. The idea behind such an implementation was to ensure that one served as the backup for the other even if one of them failed in their objective completely. In 1965, the U.S. enjoyed its first success with respect to Mars as Mariner 4 flew by Mars, capturing the first close-up images of the planet. Considering this success came hot on the heels of its twin Mariner 3’s failure, the idea of launching in pairs seemed a good one. By 1969, NASA had furthered its accomplishments as Mariners 6 and 7 flew over Mars days within each other, with Mariner 7 even capturing an image of Phobos, one of Mars’s two natural satellites.
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magnetic fields [b] are vectors; that is in addition to their strength (magnitude), we must also specify their direction. question 3 options: 1) true 2) false
Magnetic fields B are vectors; that is in addition to their strength magnitude, we must also specify their direction.
What is the best definition of direction?Direction is characterized as the course that anything follows, the route that must be taken to go to a particular location, the direction in which something is beginning to take shape or the direction you are facing.
Why is direction important?Instructions explain how to perform an action or the proper sequence. You are provided instructions for many of your assignments and assessments. It's critical to comprehend the motivation behind the instructions. Before starting anything, it's also crucial to read ALL of the instructions.
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how does the length of the cord/strings affect the descent of the parachute?
The hang time of the parachute increased with string length, increasing air resistance. Even while gravity was always pushing on the object, the shorter strings increased the force it was exerting.
Gravity and drag are the main forces affecting a parachute. When you initially open the parachute, gravity pulls it downward and causes it to fall quickly to the ground. Yet, the amount of drag increases with falling speed.
The more air that needs to be forced out of the way by a parachute's bigger surface area, the slower it descends.
Air resistance rises with string length, prolonging the hang time and affecting the descent of the parachute. The shorter ropes increased the force that gravity was imposing on the object even though gravity was always pulling on it.
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which of the following are characteristics of slab pull? multiple select question. gravity is a major force in slab pull. the heat of the asthenosphere pulls against the lithospheric slab. subducting plates move faster than nonsubducting plates. subducting oceanic lithosphere is denser than asthenosphere.
Gravity is a major force in slab pull Sub-ducting plates move faster than non-sub-ducting plates. Sub-ducting oceanic lithosphere is denser than asthenosphere are the characteristics of slab pull.
What is slab pull?Slab pull is a process causing the subduction of oceanic lithosphere. It is the dominant mechanism of plate tectonic motion in which an area of the Earth's oceanic lithosphere moves under an overriding plate, which causes it to sink into the Earth's mantle. It occurs when the gravity of the sub-ducting slab of lithosphere, which is denser than the material around it, causes the slab to move slowly and steadily into the Earth's interior. The slab pull force is the major contributor to plate motion and is the result of the sinking of cold, dense lithosphere into the mantle.
The characteristics of slab pull are:
1. Subduction: Slab pull is caused by subduction, where one tectonic plate slides beneath another and is forced down into the mantle. Subduction occurs at convergent plate boundaries, such as subduction zones.
2. Negative Buoyancy: Sub-ducting lithosphere has a negative buoyancy, meaning it is denser than the surrounding asthenosphere and is therefore pulled down. This induces a down-force on the overriding lithosphere, which is known as slab pull.
3. Moving Plates: Slab pull is responsible for the movement of oceanic lithosphere, which is constantly being recycled. As oceanic lithosphere is sub-ducted, new lithosphere is formed at divergent plate boundaries and is then pushed away from the ridge.
4. Stress: Slab pull also plays a role in creating stress in the lithosphere. As plates move away from the ridge, they create tension in the lithosphere. This tension is released when the plates meet a subduction zone, resulting in an earthquake.
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A force of 100 N was necessary to lift a rock. A total of 150 J of work was done, How far was the rock lifted?
Answer:1.5m
Explanation:
Equation:
Work= F(d)
Data:
Work= 150J
Force= 100N
Distance= ?
Work:
150J=100N(d)
150/100= d
d=1.5m
←
2006
Currently, you are watching this man pull a semi-truck behind him by a rope at a constant
velocity of 0.5 m/s. The truck has a mass of 6,820 kg while the man doing the pulling has a
mass of 114 kg. The coefficient of kinetic friction between the tire and the concrete is 0.35
giving the truck a frictional force of 23,392.6 N. The challenge is to pull the truck a distance of at
least 25 meters.
Considering this information, how much tension force is there in the rope while the man is
pulling on the semi-truck?
A. 391.0 N
B. 50.0 N
C. 23,392.6 N
D. 17,3350 N
The tension force there in the rope while the man is pulling on the semi-truck will be 23,392.6 N. The correct option is C.
What is a tension force?The tension force is the two opposite forces acting on the body and trying to pull the body outwards.
To pull the semi-truck at a constant velocity of 0.5 m/s, the man must apply a force equal in magnitude to the frictional force acting on the truck. This force is given by:
F = μ x N
Where μ is the coefficient of kinetic friction, and N is the normal force exerted by the ground on the truck. The normal force is equal in magnitude to the weight of the truck, which is given by:
N = m x g
Where m is the mass of the truck and g is the acceleration due to gravity (9.81 m/s²).
Substituting the given values, we get:
N = 6,820 x 9.81 = 66,887.2 N
F = 0.35 x 66,887.2 = 23,392.6 N
Since the man is pulling the truck at a constant velocity, the tension force in the rope must also be equal in magnitude to the frictional force acting on the truck, which is 23,392.6 N.
Therefore, the answer is C. 23,392.6 N.
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how to convert 52 f to c?
52F is equal to 11.11°C. The calculation to convert from Fahrenheit to celsius takes the Fahrenheit temperature, subtracts 32 from it, and then multiplies the result by 5/9.
In order to convert from Fahrenheit (F) to Celsius (°C), you will need to use the following equation:
[tex]C = (F - 32) * (5/9)[/tex]
In this case, to convert 52F to °C, we use the equation:
[tex]C = (52 - 32) * (5/9)[/tex]
Substituting the values, we get:
[tex]C = 20 * (5/9)[/tex]
Simplifying this equation, we get:
°C = 11.11
Therefore, 52F is equal to 11.11°C.
This conversion formula takes into account the difference between the two temperature scales, with farenheit being the higher temperature scale and celcius being the lower temperature scale.
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What is the difference between kinetic energy and potential energy with examples?
Kinetic energy is the energy of motion, while potential energy is the energy stored in an object due to its position or state.
Kinetic energy is the energy possessed by a moving object, and its value depends on the mass and velocity of the object. An example of kinetic energy is a moving car, which has energy due to its motion. Potential energy, on the other hand, is the energy stored in an object due to its position or state.
An example of potential energy is a stretched spring, which has energy stored in it due to its deformation. When the spring is released, the potential energy is converted into kinetic energy as the spring moves back to its equilibrium position.
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4. when a person passes you on the street, you do not feel a gravitational pull. explain.
Their mass is small enough to produce a significant gravitational pull on your body due to inverse square law of gravity.
All objects in the universe exert a gravitational pull on each other, as described by Newton's law of universal gravitation. The magnitude of this force is proportional to the masses of the objects and the distance between them. However, in most cases, the force of gravity between everyday objects is too small to be noticeable.
The force of gravity between two people is determined by their masses and the distance between them. Since the masses of two people are relatively small compared to, say, the mass of the Earth, the gravitational force between them is negligible.
Furthermore, the distance between two people passing each other on the street is relatively large compared to their masses. The gravitational force between two objects decreases rapidly with distance, becoming very small at distances much larger than the size of the objects. Hence, the gravitational pull between two people passing each other on the street is too small to be felt or noticed.
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Where are the layers of the atmosphere?
The layers of the atmosphere are located from the Earth's surface to outer space in the following order: troposphere, stratosphere, mesosphere, thermosphere, and exosphere.
The Earth's atmosphere is divided into five layers based on their altitude, temperature, and composition. The troposphere, closest to the Earth's surface, is where most weather occurs, and where temperature decreases with altitude. The stratosphere, which contains the ozone layer, is where temperature increases with altitude due to the absorption of UV radiation by ozone.
The mesosphere is the layer where meteors burn up, and temperature decreases with altitude. The thermosphere is where the auroras occur and temperature increases with altitude due to absorption of solar radiation. Finally, the exosphere blends into outer space and is the layer where satellites orbit.
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The measurement of body temperature is an example of a variable that uses what scale?A. Interval scaleB. Ordinal scaleC. Nominal ScaleD. Ratio scale
The measurement of body temperature is an example of a variable that uses option A, interval scale.
A scale with an interval has order and a meaningful difference between two values. Temperature (Fahrenheit), temperature (Celsius), pH, SAT score (200-800), and credit score are a few examples of interval variables (300-850).
One variable that uses interval scale is the measurement of body temperature.
Only ratio scales have a genuine zero, even though interval and ratio data can both be categorized, sorted, and spaced equally apart between consecutive values. As 0 is not the lowest attainable temperature, temperature in Celsius or Fahrenheit, for instance, is measured on an interval scale.
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an object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s2. neglecting air resistance, the height to which this object will rise in this world is
Answer:
S = H = V0 t + 1/2 g t^2 this is a vector equation with V0 positive and
g is negative - this will give height H
Another way to look at this is to find t if one knows V0
t = V0 / g would be the time for an object to "fall" from zero speed to the speed it originally had (conservation of energy - rise time = fall time)
Then S = 1/2 g t^2
What does the presence of molecular bands in the spectrum of a star indicate?
Why do we think that the solar system formed from a rotating, collapsing gas cloud that ended up as a disk orbiting the Sun? a) Most of the planets revolve and rotate in the same direction, in the same plane b)Conservation of angular momentum means a collapsing cloud will spin faster and faster c)We see clouds of gas and dust in space d)We see disks around young stars e)All of the above
Answer:
E) All of the above.
Explanation:
The idea that the solar system formed from a rotating, collapsing gas cloud that ended up as a disk orbiting the Sun is supported by multiple lines of evidence. The fact that most of the planets revolve and rotate in the same direction, in the same plane, suggests that they formed from a flattened disk of material. Conservation of angular momentum means that a collapsing cloud will spin faster and faster, which is consistent with the observed rotation of the planets and the Sun. We also see clouds of gas and dust in space, and disks around young stars, which provides further evidence for this theory.
FILL IN THE BLANK. a(n) _______ is identified as either an overload condition or a short-circuit condition.
A circuit breaker is identified as either an overload condition or a short-circuit condition.
Circuit breakers are safety devices that protect electrical systems from overloading or short-circuiting. An overload occurs when the amount of current flowing through a circuit is more than the maximum current-carrying capacity of the wires, which can cause them to overheat and start a fire. A short circuit occurs when there is a direct connection between two conductors of a circuit, causing an excessive amount of current to flow and potentially causing damage to the equipment or electrical system. Circuit breakers are designed to trip and interrupt the flow of current in the event of an overload or short circuit to prevent damage or fire.
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What is the relationship between the potential difference across the generator and across the resistor?
Both the potential difference across a generator and that across a resistor obeys Ohms law. Greater the potential difference between two points, greater will be the current passing across the devices.
What is potential difference ?The potential difference of across an object is the energy required to bring a point charge from infinity to a point. The unit of potential energy is volt and it also calling voltage of a device.
According to Ohm's law, the potential difference across a device is the product of the resistance and current passing through it.
V = IR.
In a generator the current is generated through electromagnetic induction. Here the resistance is developed across the armature of the generator. Hence, the overall potential difference like across a resistor depends on the resistance and current.
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what temperature change will 100 ml of water undergo when it absorbs 325 joules of heat
The temperature change we will notice when 100 ml of water undergoes when it absorbs 325 joules of heat is 0.7647 °C.
The mass of water would be the density of water times the volume of the water and
the density of water is 1g/ml,
therefore the mass of water would be
= (100 ml)(1 g/ml)
= 100 g
And we know that,
Q = m.c.ΔT
where,
Q is the energy supplied to the water
m is the mass of water
c is the specific heat constant
and ΔT is the change in temperature
So, after plugging the given values of the question in the equation we get,
325 J=(100 g)×(4.2 J/gC)×ΔT
ΔT = 0.7647 °C
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YEA
A tether ball on a 2 meter line is 1 kg.
It is traveling at 10 m/s. What force is on
00S s il elm 21 is alevst
the line?
92 2id no ai 9010 roum wod,sbit edit
The force on the tetherball is 50 Newtons.
What force is on the tether ball?
To calculate the force on the tetherball, we need to use Newton's second law, which states that the force (F) acting on an object is equal to the mass (m) of the object times its acceleration (a).
F = ma.
In this case, we know the mass of the ball (m = 1 kg) and its speed (v = 10 m/s), but we need to calculate its acceleration.
The acceleration of an object moving in a circle is given by the formula a a = v^2/r
where;
r is the radius of the circle.In this case, the circle is formed by the tetherball swinging around the pole, and the radius is the length of the tether, which is 2 meters. So, the acceleration of the ball is:
a = v^2/r = (10 m/s)^2 / 2 m = 50 m/s^2
Now, we can use Newton's second law to find the force:
F = ma
F = 1 kg * 50 m/s^2
F = 50 N
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how to convert c to k
The Kelvin scale is not random, but it is organized so its zero point is absolute zero. Here is the Celsius to kelvin conversion, T = Tc + 273.15. The Kelvin scale is conceived so that one Celsius degree and one kelvin are precisely the same.
The Kelvin (K) is the official metric unit of temperature. See there is no "degree" with the kelvin. For instance, 4K is called "four Kelvin's". The Celsius temperature scale is illustrated by International understanding in terms of two fixed points; the ice point and the steam point. The temperature of the ice point is defined as 0°Celsius and the steam point as 100°Celsius. Accordingly, water freezes at 273 Kelvins, it ensues that 0 degrees Celsius equals 273 Kelvins and that 0 kelvins equivalents minus 273 degree Celsius.
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Why is it usually inappropriate to consider low-frequency sound waves as traveling in rays? Why is the ray approximation more appropriate for high-frequency sound and for light?
Answer: i do not know
Explanation: i do not know either
Shows 100ml of water being poured through a soil sample. After the water has passed through the soil, 98ml of water is measured in the collection tray below the sample. Of the following, which is the most likely composition of the soil sample?
a. Clay - 80%; Silt - 10%; Sand - 10%
b. Clay - 50%; Silt - 40%; Sand - 10%
c. Clay - 40%; Silt - 50%; Sand - 10%
d. Clay - 10%; Silt - 10%; Sand - 80%
The most likely composition of the soil sample is, Clay 80%, Silt 10%, Sand 10%. Correct answer is option (a).
The volume of water that did not pass through the soil is assumed to be absorbed by the soil or evaporated. In this case, 2 ml of water were not collected, so the soil must have absorbed or evaporated this amount.
We can calculate the percent of water that passed through the soil by dividing the amount collected by the amount poured into the soil sample, then multiplying by 100. In this case, (98 ml / 100 ml) x 100 = 98%.
Based on this result, we can make an educated guess about the soil's texture. Soil with a high percentage of clay particles tends to have low permeability, which means it absorbs less water and more water passes through. The texture option that best matches this scenario is option (a) - Clay 80%, Silt 10%, Sand 10%.
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a fishing pole is 2.00m long and inclined to the horizontal at an angle of 20 degrees. what is the torque exerted by the fish about an axis perpendicular to the page and passing through the hand of the person holding the pole?
The torque exerted by the fish about an axis perpendicular to the page and passing through the hand of the person holding the pole is approximately 6.84 N·m.
What is Torque?
It is commonly denoted by the symbol τ (tau) and is given by the product of the force .
The torque exerted by the fish about an axis perpendicular to the page and passing through the hand of the person holding the pole can be calculated using the formula:
τ = r × F × sin(θ)
where τ is the torque, r is the lever arm or the distance between the axis of rotation and the point where the force is applied, F is the force applied, and θ is the angle between the lever arm and the direction of the force.
In this case, the force applied is the force exerted by the fish on the fishing line, and the lever arm is the distance between the axis of rotation (the hand of the person holding the pole) and the point where the force is applied (the end of the fishing pole).
We can find the lever arm using trigonometry:
r = L × sin(θ)
where L is the length of the fishing pole.
Substituting the given values, we get:
r = 2.00 m × sin(20°) ≈ 0.684 m
Now we need to determine the force applied by the fish on the fishing line. This will depend on the weight of the fish and the tension in the fishing line. Without more information, we cannot calculate this force.
Assuming a force of 10 N, for example, we can calculate the torque as:
τ = 0.684 m × 10 N × sin(90°) = 6.84 N·m
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