Answer:
the expanse or amount of space between two things, points, lines, anything in science or math.
DISTANCE...
Explanation:
b) A hammer of weight 100 N falls freely on a nail from height 1.25 m. Find the impulse and average force of blow if impact last for 10-² S.
Answer:
Explanation:
When the hammer hits the nail it transfers this energy to the nail in order to move it 1cm (0.01m). A transfer of energy is known as "work done" and work done = force x distance. So, force = work done / distance = 25 / 0.01 = 2500N Answer: Average force = 2500 Newtons.
What are the main forces involved in a flying plane?
Answer:
There are four main forces involved in the flight of an airplane: lift, weight, thrust, and drag.
Explanation:
1. Lift: Lift is the force that opposes the weight of an aircraft and keeps it in the air. It is generated by the wings as they move through the air and is affected by factors such as the shape of the wings, the angle of attack, and the speed of the aircraft.
2. Weight: Weight is the force of gravity acting on an aircraft and pulling it downward. It is proportional to the mass of the aircraft and the acceleration due to gravity.
3. Thrust: Thrust is the forward force generated by the engines of an aircraft. It must be greater than the drag force in order to maintain forward flight.
4. Drag: Drag is the aerodynamic force that opposes the forward motion of an aircraft. It is caused by the friction of the air moving past the surface of the aircraft and is affected by factors such as the speed of the aircraft, its shape, and the altitude.
These four forces are in a constant state of balance during flight, with the pilot adjusting the thrust and angle of attack to maintain a stable flight.
Submarines change their depth by adding or removing air from rigid ballast tanks, thereby displacing seawater in the tanks. Consider a submarine that has a 700-m3 air-ballast tank originally partially filled with 100 m3 of air at 1650 kPa and 15°C. For the submarine to surface, air at 1650 kPa and 20°C is pumped into the ballast tank until it is entirely filled with air. The seawater leaves the tank at 15°C. Presume that air is added to the tank in such a way that the temperature and pressure of the air in the tank remain constant. Determine the final mass of the air in the ballast tank under this condition. Also determine the total heat transfer while the tank is being filled in this manner. The gas constant of air is R = 0. 287 kPa·m3/kg·K. The specific heats of air at room temperature are cP = 1. 005 kJ/kg·K and cv = 0. 718 kJ/kg·K. The specific volume of water is taken 0. 001 m3/kg
Total heat transfer while the tank is being filled in this manner, Q = ΔH = mCpΔT = 88,147 kJ
What is ideal gas law?Ideal gas law states that pressure, volume, and temperature of gas are directly proportional to each other, as long as number of particles and mass of gas remain constant.
PV = nRT
P is pressure, V is volume, n is number of moles of gas, R is gas constant, and T is temperature.
V = nRT/P
n = PV/RT
n = (1650 kPa)(100 m3)/(0.287 kPa·m3/kg·K)(288 K) = 603.5 kg
V = nRT/P = (603.5 kg)(0.287 kPa·m3/kg·K)(293 K)/(1650 kPa) = 105.5 m3
m = nM = (603.5 kg)(28.97 kg/kmol) = 17,486 kg
Q = ΔH = mCpΔT
ΔH is change in enthalpy, m is mass of air, Cp is specific heat at constant pressure, and ΔT is change in temperature.
ΔH = CpΔT
Q = ΔH = mCpΔT = (17,486 kg)(1.005 kJ/kg·K)(5 K) = 88,147 kJ
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Two box of the masses 5 kg and 40 kg are in contact with each other on a frictionless surface. What is the acceleration of the more massive box?
Answer:ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Explanation:
You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 45 ∘ with the horizontal, and the hammer is moving at 4.5 m/s when it reaches the edge. Assume that the hammer is moving from the top of the roof to its right edge.
A. What is the horizontal component of the hammer's velocity just as it leaves the roof?
B. What is the vertical component of the hammer's velocity just as it leaves the roof?
Answer:
A. The horizontal component of the hammer's velocity just as it leaves the roof can be calculated by multiplying the velocity of the hammer by the cosine of the angle of the roof with the horizontal:
Vhorizontal = V * cos(45) = 4.5 m/s * cos(45) = 3.16 m/s
B. The vertical component of the hammer's velocity just as it leaves the roof can be calculated by multiplying the velocity of the hammer by the sine of the angle of the roof with the horizontal:
Vvertical = V * sin(45) = 4.5 m/s * sin(45) = 3.16 m/s
Explanation:
1. A car moves at 10m/s
a. Net Force on the car is zero
b. Force of friction is equal to the forward force applied by the engine
c. Both a and b are correct
d. a is correct but b is wrong
Answer:
d. a is correct but b is wrong.
Explanation:
A car that is moving at a constant speed of 10m/s is experiencing a net force of zero, meaning that the sum of all forces acting on the car is equal to zero. This means that the forward force applied by the engine is equal in magnitude but opposite in direction to the force of friction acting on the car.
The force of friction acts to slow down the car, but it does not equal the forward force applied by the engine. Instead, it is determined by factors such as the weight of the car, the road surface, and the tire traction. If the forward force applied by the engine is greater than the force of friction, the car will accelerate. Conversely, if the force of friction is greater than the forward force applied by the engine, the car will decelerate.
a) calculate the magnitude of the force parallel to surface 1 b) calculate the magnitude of the force parallel to surface 2
A force can make a body at rest to move. The magnitude of force parallel to surface 1 is 5.04 N and the magnitude of the force parallel to surface 2 is 4.02 N.
What is Force?The force can be defined as the quantity which is expressed as the product of mass (m) and acceleration (a). It is known as the push or pull on an object which produces acceleration in the body on which it acts.
The equation which is used to calculate the force is given as:
F = ma
a) F₁ = m₁ g sin40
= 0.800 kg × 9.81 m/s² × 0.64
= 5.04 N
b) F₂ = m₂ g sin55
= 0.500 kg × 9.81 m/s² × 0.82
= 4.02 N
Thus the magnitude of the force parallel to surface 1 is 5.04 N and the magnitude of the force parallel to surface 2 is 4.02 N.
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A spring with a spring constant of 2 N/m is stretched by Laura until extended by 0. 5 m. How much elastic potential energy is stored by the spring?
The spring stores 0.5 joules of elastic potential energy when stretched by 0.5 meters.
What is Potential Energy?
It is a form of energy that is stored in an object and has the potential to do work. The amount of potential energy depends on the position, shape, and orientation of the object. The most common types of potential energy are gravitational potential energy, elastic potential energy, and chemical potential energy.
The elastic potential energy stored by a spring is given by the formula:
Elastic potential energy = 1/2 * spring constant * (extension)^2
where the spring constant is measured in Newtons per meter (N/m), and the extension is measured in meters (m).
Given that the spring constant is 2 N/m and the extension is 0.5 m, we can plug these values into the formula:
Elastic potential energy = 1/2 * 2 N/m * (0.5 m)^2
= 0.5 J
Therefore, the spring stores 0.5 joules of elastic potential energy when stretched by 0.5 meters.
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What is the power of x? Explain how similar and different is the excel equation is to equation 3. [5 points]
equation 3 is V=kQ/d
The power of x is the exponent of x in an equation. The power of x (x^n) is the result of multiplying a number (x) by itself (n) times. For example, in an equation of the form x^a, the power of x is a.
For example, if x = 2 and n = 3, then x^n = 8 (2 x 2 x 2).
The Excel equation is similar to the equation V=kQ/d in that they both contain variables (x, k, Q, and d) and the goal is to calculate a result (x^n, V). However, the Excel equation is specific to the power of x and is used to calculate the result of multiplying a number by itself a certain number of times. The equation V=kQ/d is used to calculate velocity based on a constant (k), a quantity (Q), and a distance (d). However, the equation V=kQ/d does not involve x, and it is used to calculate the voltage, V, in a circuit. The power of x is simply a mathematical notation used to indicate the number of times a variable is multiplied by itself, while the equation V=kQ/d is used to calculate the voltage in a specific circuit.
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Which component in the circuit would most likely have the lowest resistance?
A buzzer
A capacitor
A light bulb
A wire
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
A wire should have the least resistance possible, because if there is more resistance in wires, there would be a lot of power loss when current flows through it.
Therefore, wires should have lowest resistance.
A piece of gold-alminium alloy weighs 49N. When suspended from a spring balance and submerged in water it weighs 39.2N. What is the weight of Gold in the alloy the specific gravity of gold is 19.3 and that if aluminium is 2.5?
Answer:
The mass of the water in 1 kg (9.8 N = m (9.8 m/s/s)),
Thus the volume of the water is 1000 ml.
5 = (Mau + Mal)/(Vau + Aal)
(Density = total mass to the total volume)
We know that:
19.2 = Mau/Vau and 2.5 = Mal/Val.
We have to find the volume. Therefore,
5Val + 5Vau = Mau + Mal
5(Mal/2.5) + 5(Mau/19.2) = Mau + Mal
Mal = 0.74 Mau
5 kg = M(au) + (1/.74)M(au)
=> M(au) = 2.13 kg
Weight of gold = 20.8 N
hence the weight of the gold is 20.8 N
what kind of Electromagnetic energy does a car light have
Answer:
Halogen
Explanation:
Answer:
A car light emits visible light, which is a type of electromagnetic energy.
Explanation:
OBJECT A 24 lb. turkey on Saturn UNIVERSAL GRAVITATION CONSTANT-G 6.673x10 M₁ = mass of planet (in kg) -11 Nm² 5.683x10²6 kg kg 26 M₂= object (in kg) = mass of d = distance between the center of 2 objects (in m) (sometimes we use "r" for radius) 58,232 km SHOW WORK F, gray = force due to gravity (in N)
The force due to gravity acting on a 24 lb. turkey on Saturn is approximately 1.253 N.
What is the gravitational force?
To calculate the force due to gravity (F) acting on the 24 lb. turkey on Saturn, we need to use the formula for the gravitational force:
F = G * M₁ * M₂ / d²
where;
G is the universal gravitational constant, M₁ is the mass of Saturn, M₂ is the mass of the turkey, and d is the distance between the center of Saturn and the turkey.First, we need to convert the mass of the turkey from pounds to kilograms:
24 lb = 10.89 kg
Next, we need to convert the distance between Saturn and the turkey from kilometers to meters:
58,232 km = 5.8232 x 10⁷ m
Now we can substitute the values into the formula:
F = 6.673 x 10^-11 Nm²/kg² * 5.683 x 10²⁴ kg * 10.89 kg / (5.8232 x 10⁷ m)²
Simplifying this expression, we get:
F = 1.253 N
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Landing with a speed of 71.4 m/s and traveling due south, a jet comes to rest in 939 m
Assuming the jet slows with constant acceleration, find the magnitude of its acceleration.
(part a)
Assuming the jet slows with constant acceleration, find the direction of its acceleration.
(part b)
The acceleration is 2.7 m/s^2.
What is the acceleration?Acceleration is a measure of the rate at which an object changes its velocity. It is defined as the change in velocity per unit time and has units of meters per second squared (m/s^2). Acceleration can be positive (when an object is speeding up), negative (when it is slowing down), or zero (when its velocity is constant).
We can get the acceleration;
v^2 = u^2 - 2as
v = final velocity
u = initial velocity
a = acceleration
s = distance
Thus we have that;
v = 0 m/s thus;
u^2 = 2as
a = u^2/2s
a = (71.4)^2/2 * 939
a = 5097.96/1878
a = 2.7 m/s^2
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How can scientists determine whether an extinct animal gave birth on land or underwater?.
The correct option is C. Position of the head of the fetus of an extinct animal that gave birth on land or underwater.
In human prenatal development, fetal development starts offevolved from the 9th week after fertilization (or eleventh week gestational age) and maintains till birth.
Prenatal improvement is a continuum, with no clear defining characteristic distinguishing an embryo from a fetus. however, a fetus is characterized by the presence of all the most important body organs, though they will now not yet be completely advanced and practical and some not but situated in their very last anatomical vicinity. An unborn offspring develops and grows within the uterus (womb) of humans and different mammals. In human beings, the fetal duration begins at 9 weeks after fertilization of an egg by using sperm and ends at the time of delivery.
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Complete Question:
1. How can scientists determine whether an extinct animal gave birth on land or underwater?
a. Location of the hind limbs of the fetus
b. Position of the nostrils
c. Position of the head of the fetus
d. Location of the fossils
who suggested mutation theory
Answer:
Hugo de VriesThe mutation Theory of Evolution was proposed by Hugo de Vries.Answer:
Hugo de Vries
Explanation:
In the history of evolutionary biology, Hugo dr Vries is known as a proponent of the mutation theory of evolution, in which new species are believed to arise by single mutational events.
The figure below shows a rigid 3-mass sys-
tem which can rotate about an axis perpen-
dicular to the system. The mass of each
connecting rod is negligible. Treat the masses
as particles.
The x-axis is along the horizontal direction
with the origin at the left-most mass 7 kg.
7 kg
1 kg
6 kg
5m
m.
x
*
-5m-
The masses are separated by rods of length
5 m, so that the entire length is 2 (5 m).
Determine the x-coordinate of the center of
mass for the three-mass system with respect
to the origin.
Answer in units of m. Answer in units of
The x component of the center mass is 4.64 m.
What is the x-coordinate of the center mass?The x component of the center mass is calculated by applying the following formula as shown below;
X_cm = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3),
where;
m1 is mass 1 = 7 kgx1 is the position of mass 1 = 0 mm2 is the mass 2 = 1 kgx2 is the position of mass 2 = 5 mm3 is the mass 3 = 6 kgx3 is the position of mass 3 = 10 mX_cm = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3)
X_cm = (7 x 0 + 1 x 5 + 10 x 6) / (7 + 1 + 6)
X_cm = 4.64 m
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A 5.0 kilogram initially at rest is accelerated by a force of 25 newtons such that it attains 5.0 x 102 joules of kinetic energy
Therefore, the distance over which the force acts is 20 meters.
explain about kinetic energy ?The initial kinetic energy of the object is zero since it is at rest. The work done on the object by the applied force is equal to the change in its kinetic energy:
[tex]W = ΔK[/tex]
where W is the work done and [tex]ΔK[/tex] is the change in kinetic energy.
The work done by the force can be found using:
[tex]W = Fd[/tex]
where F is the force applied and d is the distance over which the force acts.
Since the object starts from rest, we can use the equation for the work-energy principle:
[tex]W = Kf - Ki[/tex]
where Kf is the final kinetic energy and Ki is the initial kinetic energy.
Setting these two expressions for W equal to each other, we have:
[tex]Kf - Ki = Fd[/tex]
Substituting the given values, we have:
[tex]Kf - 0 = (25 N) dKf = 25d[/tex]
But we also know that the final kinetic energy is[tex]5.0 x 10^2 J[/tex], so:
[tex]5.0 x 10^2 J = 25d[/tex]
d = 20 meter
Therefore, the distance over which the force acts is 20 meters.
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1. Two objects with equal masses are in motion. Which object will have more kinetic energy?
a. The object with the greater volume
b. The object with the greater velocity
c. The object with the greater density
d. The object with the greater acceleration
2. A large truck and a small car are found to have the same kinetic energy. How is this possible?
a. The car would have to be at a higher point on a hill.
b. The car must be moving with a greater velocity.
c. The car and truck must have the same velocity.
d. The car would have to be accelerating more.
3. Which object has the greatest kinetic energy?
a. A car with a mass of 1,000 kg moving at 3 m/s
b. A car with a mass of 1,000 kg moving at 30 m/s
c. A person with a mass of 70 kg walking at 3 m/s
d. A baseball with a mass of 0. 5 kg moving at 30 m/s
4. A wildlife keeper chases a rabbit that is trying to escape. It is possible to identify which object has the greater kinetic energy. In which situation would you also be able to identify with certainty the object with the greater kinetic energy? Assume that only the changes described happen and all other factors remain the same.
a. The wildlife keeper increases her speed and catches the rabbit.
b. Instead of the wildlife keeper, a small dog chases the rabbit.
c. The rabbit increases its speed and manages to escape.
d. Instead of the rabbit, a pig with a greater mass tries to escape.
5. A skydiver jumps out of a plane and begins to accelerate. His speed increases to 20 m/s, then 30 m/s, with air resistance increasing the entire time. His acceleration keeps decreasing until he reaches a constant speed of 50 m/s. What happened to his kinetic energy during this time?
a. His kinetic energy increased for a while, then it became constant.
b. His kinetic energy would remain the same for the whole fall as long as he lost no mass.
c. His kinetic energy increased quickly at first, then it increased at a constant rate.
d. His kinetic energy was positive at first, but it decreased to zero when he stopped accelerating
A truck moving across an ice road is spreading sand across the ice. The truck can be considered a closed, isolated system. Which of the following is true? * a. The mass of the truck decreases with no change in the velocity of the truck b.The mass of the truck decreases while the velocity of the truck increases. C.The mass of the truck decreases while the velocity of the truck decreases. D. The mass of the truck remains the same while the velocity of the truck remains the same.
Answer:
D
Explanation:
The mass of the truck remains the same while the velocity of the truck remains the same.
The concept of a closed, isolated system means that the system is considered to be completely enclosed and does not exchange energy or matter with its surroundings. In this case, the truck is spreading sand across the ice, but it is still considered a closed, isolated system because it is not exchanging matter with its surroundings. The mass of the truck, which includes the truck and the sand inside, remains constant.
Therefore, option D, "The mass of the truck remains the same while the velocity of the truck remains the same" is true.
You have a monometer (a U-shaped object) with water (density=1gr cm-3) filling up to the middle of both arms. The arms have a circular cross section with a diameter of 2cm. You pour 50ml of oil (density = 0.8 gr cm-3) to one arm. Assuming none spilled out, what will be the difference in height between the two arms after the fluid comes to rest (in cm)?
The volume of water from the volume of oil, which yields V_diff = 50,000 cm³ - 6.283 cm³ = 49
What is yield?Yield is a measure of the return on an investment. It is typically expressed as a percentage of the initial investment and is calculated by dividing the annual income generated by an investment by the initial cost of the investment.
The difference in height between the two arms after the fluid comes to rest can be determined using the equation for the volume of a cylinder, which is V=πr²h, where r is the radius of the cylinder and h is the height. Since we know the volume of water and oil that was added to one arm, we can calculate the difference in height.
First we need to calculate the volume of water in one arm. Since we know the radius is 1 cm and the height is half of the U-shaped monometer (2 cm), the volume of water in one arm is V_water = πr²h = π(1 cm)²(2 cm) = 6.283 cm³.
Next we need to calculate the volume of oil. Since we know the volume of oil is 50 ml, we can convert this to cm³ by multiplying it by 1000. This gives us the volume V_oil = 50 ml x 1000 = 50,000 cm³.
Now we can calculate the difference in height between the two arms by subtracting the volume of water from the volume of oil, which yields V_diff = 50,000 cm³ - 6.283 cm³ = 49
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In the 2nd lab you were studying water squirting out from a hole in a cylinder filled with water into a tub. Just as a falling ball converts potential energy to kinetic energy, water pressure pushed water out of the hole by converting potential energy per unit volume (density x g x height) to kinetic energy per unit volume (density x velocity^2/2). Assume you have a 20 cm head of water above the hole and that the hole is 40 cm above ground.
How long after your release the finger holding the hole (in seconds) will it take the water to reach the ground (think mechanics)?
Explain how the state of consciousness ( focused awareness, drifting consciousness,divided consciousness, and altered consciousness) differs from each other?
Consciousness is our current awareness of ourselves and of the world around us.
Focused awareness is a state of heightened alertness we experience when completely absorbed in a task or activity.
Drifting consciousness is a state of awareness characterized by drifting thoughts or mental imagery.
Divided consciousness is a psychological state in which one's consciousness is split into distinct components, possibly during hypnosis
An altered consciousness is a change in one's normal mental state as a result of trauma or accident or induced through meditation, drugs, some foods, etc.
What is the state of consciousness?
Our level of awareness of internal events and external surroundings is known as a state of consciousness. States of consciousness can also be divided into two broad categories – normal waking consciousness and altered states of consciousness.
What are the seven states of consciousness?
The seven states of consciousness are: waking, dreaming, sleeping, transcendental consciousness, cosmic consciousness, God consciousness, and unity consciousness.
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Use Newton's Second Law Analysis combined with torque to solve the following problem.
Three masses are attached to a uniform meter stick, as shown in the figure to your right. The mass of the meter stick is 200.0 g and the masses to the left of the fulcrum are m1 = 75.0g and m2=100.0g. Don't forget the meter stick has mass.
a) What is mass m3 that balances the system when it is attached at the right end of the stick. The resulting system is balanced.
b) What is Force the fulcrum exerts on the meter stick at point S?
5.8N. is the correct answer .
What is Torque ?
In physics and engineering, "torque" is a measure of the twisting force that can cause an object to rotate around an axis or pivot point The magnitude of torque depends on both the force being applied and the distance between the axis of rotation and the point of application of the force. The direction of the torque is determined by the right-hand rule, with the thumb pointing in the direction of the applied force and the fingers curling in the direction of rotation. Torque is a key concept in the study of mechanics and is used in a wide range of applications, such as engines, motors, and machines.
τ1=+r1w1sin90=+r1m1g(counterclockwise rotation, positive sense)
τ2=+r2w2sin90°=r2m2g(counterclockwise rotation, positive sense)
τ=+rwsin90°=+rmg(gravitational torque)
τS=rSFSsinθS=0(because S=0cm)τ3=−r3w3sin90°=−r3m3g(clockwise rotation, negative sense)
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A skier with a mass of 55 kg is skiing down a snowy slope that has an incline of 30°.
Find the coefficient of kinetic friction for the skier if friction is known to be 25 N.
The coefficient of kinetic friction for the skier, if friction is known to be 25 N, is calculated to be 0.463.
What is Kinetic friction?Kinetic friction may be characterized as a type of force that considerably resists the relative movement of the surfaces once they're in motion. It is just the opposite of static friction.
According to the question,
The total weight of a skier = mass of a skier × gravity = 55 × 9.8
The angle at which it inclines = 30° i.e. θ = 30°.
Normal force, N = mgcosθ
The friction force, F = kinetic friction (N)
25 N = Kf (55 × 9.8 × 30)
Kf = 0.463.
Therefore, the coefficient of kinetic friction for the skier, if friction is known to be 25 N, is calculated to be 0.463.
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How do you calculate soil cation exchange capacity and base saturation?
To determine the cation exchange capacity (CEC), calculate the milliequivalents of H, K, Mg, and Ca per 100g of soil (meq/100g soil) by using the following formulas: H, meq/100g soil = 8 (8.00 - buffer pH) K, meq/100g soil = lbs/acre extracted K ÷ 782. Mg, meq/100g soil = lbs/acre extracted Mg ÷ 240.
To begin, multiply the total CEC by the percentage for that ion to determine the cmolc of each cation on the exchange complex. It is 0.05 * 30 cmolc/kg for hydrogen. The cmolc/kg for each ion is then converted to mass of ion per kg by multiplying by the mass of 1 cmolc.
Soil testing laboratories calculate CEC by adding the calcium, magnesium, and potassium levels measured during the soil testing procedure to an estimate of exchangeable hydrogen derived from the buffer pH. In general, CEC values obtained through this summation method will be slightly lower than those obtained through direct measurementsdirect.
The percentage of CEC occupied by bases (Ca2+, Mg2+, K+, and Na+) is represented by base saturation (BS). The%BS increases as soil pH rises (Figure 5). Ca2+, Mg2+, and K+ availability increases as %BS increases. An 80% BS soil, for example, provides cations to plants more easily than a 40% BS soil.
Base saturation is the percentage of base cations (Ca2+, Mg2+, K+, and Na+) held onto soil exchange sites divided by total CEC.
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Lab: Newton's Laws of Motion
Newton's law of motion
Three newton's law of motion:-
1. An object will not change its motion unless a force acts on it.
2. The force of an object is equal to its mass time its acceleration.
3. When two objects interact , they apply forces to each other of equal magnitude and opposite direction.
Newton's law of motion are three basic laws of classical mechanics that describes the relationship between the motion of an object and the forces acting on it.
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Compute the density in g/cm3 of a piece of metal that has a mass of 0.500 kg and a volume of 63 cm3.
Answer: ~7.94g/cm^3
Explanation: To find the density we first must make sure all the units are correct:
0.500kg x 1000g = 500g
500g / 63 cm^3 will give you units in g/cm^3, and the answer: 7.9365g/cm^3.
Calculate the distance between the center of the earth and the center of the moon at which the gravitational force exerted by the earth on an object is equal in magnitude to the force exerted by the moon on the object
( solution)
At the neutral point, the distance between the Earth's center and the Moon's center is about 399,000 kilometers, or 3.989 x 10⁸ meters.
What is the force of gravity?Planets, stars, and galaxies all move because it is one of the fundamental forces of the universe. According to Newton's law of gravitation, the distance between two objects and their masses determine the magnitude of the gravitational force
We can make use of the fact that the gravitational force between two objects is inversely proportional to the square of the distance between their centers and proportional to the product of their masses to calculate this distance. As a result, we can solve for the distance by setting the force of gravity that the Earth exerts on the object to be equal to the force of gravity that the Moon exerts on the object.
The masses of the Earth and the Moon, M_E and M_M, respectively, and the distance between their centers, d. The following factors determine the Earth's gravitational pull on the object:
F_E is equal to G × M_E × m / (d₂), where m is the mass of the object and G is the gravitational constant. The following factors determine the Moon's gravitational pull on the object:
F_M = G × M_M × m / ((R-d)²)
where R is the distance between the centers of the Earth and Moon
Setting F_E equal to F_M, we get:
G × M_E × m / (d²) = G × M_M × m / ((R-d)²)
Simplifying and solving for d, we get:
d = R × (M_E / (3 × M_M))¹/³
Values for the masses and the radius of the Earth-Moon system (R = 3.844 x 10⁸ meters), we get:
d = 3.989 x 10⁸ meters
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1) Describe how you would use the I-V characteristic of a component to find its resistance at a particular voltage
2) write a method a student could use to determine the I-V characteristics of a filament lamp
Plot the I-V characteristic of the component on a graph with current (I) on the y-axis and voltage (V) on the x-axis.
What is Resistance?
Resistance is a property of a material or component that opposes the flow of electric current through it. It is measured in units of ohms (Ω) and is represented by the symbol R. Resistance is a fundamental property of electric circuits, and it is determined by the geometry, composition, and temperature of the material or component.
To use the I-V characteristic of a component to find its resistance at a particular voltage, we can follow these steps:
Identify the region of the graph that corresponds to the voltage at which we want to find the resistance.
Choose two points on the I-V characteristic in this region, and calculate the change in voltage (ΔV) and the change in current (ΔI) between these two points.
Calculate the resistance of the component using the formula R = ΔV / ΔI.
Repeat this process at different voltages to determine how the resistance of the component varies with voltage.
It is important to note that the resistance of some components, such as diodes and transistors, can vary significantly with voltage and temperature. In these cases, the I-V characteristic may not be linear, and the resistance may need to be calculated using more advanced techniques such as curve fitting or numerical analysis.
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