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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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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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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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.
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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Which of the following best describes a direct current?(1 point)
Responses
an electrical current that flows in one direction
a stationary electrical charge
an electrical current that flows in alternating directions back and forth
the flow of electric charges through a conductor
The best description of a direct current is "an electrical current that flows in one direction."
define electric current ?
Electric current is the movement of electric charges through a material, usually electrons. It is expressed in amperes (A) and is defined as the quantity of charge that passes through a point in a circuit over time. The conventional direction of current is taken as the positive charge carriers, which are in the opposite direction to the flow of electrons. Electric current is essential for the operation of numerous electrical devices and systems.
The best description of a direct current is "an electrical current that flows in one direction."
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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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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)?
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.
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.
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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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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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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A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 4.0 m/s. Two seconds later the bicyclist hops on his bike and accelerates at 2.2 m/s2 until he catches his friend.
How much time does it take until he catches his friend (after his friend passes him)?
(part a)
How far has he traveled in this time?
(part b)
What is his speed when he catches up?
(part c)
a) It takes the bicyclist 9.09 seconds to catch up to his friend.
b) The bicyclist has traveled 40.0 meters in 9.09 seconds to catch up to his friend.
c) The bicyclist is moving at a speed of 20.0 m/s when he catches up to his friend.
The Time, Distance and Speed involveda) To find out how much time it takes for the bicyclist to catch up to his friend, we need to use the equation for motion with constant acceleration:
d = v_0 t + 0.5 a t^2
where d is the total distance traveled,
v_0 is the initial velocity (0 m/s in this case),
t is the time, and a is the acceleration (2.2 m/s^2).
Since the friend was already moving at a constant speed of 4.0 m/s when the bicyclist started pedaling, we know that the total distance d that the bicyclist has to travel to catch up is equal to 4.0 m/s * t + 0.5 * 2.2 m/s^2 * t^2.
Setting d equal to 4.0 m/s * t, we can solve for t:
4.0 m/s * t = 4.0 m/s * t + 0.5 * 2.2 m/s^2 * t^2
0.5 * 2.2 m/s^2 * t^2 = 0
t = sqrt(0 / (0.5 * 2.2 m/s^2)) = 0 s
Since the square root of zero is zero, the time t is also zero. This means that the bicyclist starts moving at the same time as the friend, so he needs to accelerate for the entire time to catch up.
Using the equation for motion with constant acceleration, we can find the time t it takes for the bicyclist to catch up:
d = v_0 t + 0.5 a t^2
d = 4.0 m/s * t
4.0 m/s * t = 0 m/s * t + 0.5 * 2.2 m/s^2 * t^2
4.0 m/s = 0.5 * 2.2 m/s^2 * t
t = 4.0 m/s / (0.5 * 2.2 m/s^2) = 9.09 s
So it takes the bicyclist 9.09 seconds to catch up to his friend.
b) To find out how far the bicyclist has traveled in this time, we can use the equation for motion with constant acceleration again:
d = v_0 t + 0.5 a t^2
d = 0 m/s * 9.09 s + 0.5 * 2.2 m/s^2 * 9.09 s^2
d = 40.0 m
So the bicyclist has traveled 40.0 meters in 9.09 seconds to catch up to his friend.
c) To find out the bicyclist's speed when he catches up, we can use the equation for velocity:
v = v_0 + a * t
v = 0 m/s + 2.2 m/s^2 * 9.09 s
v = 20.0 m/s
So the bicyclist is moving at a speed of 20.0 m/s when he catches up to his friend.
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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
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.
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.
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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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:
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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When is vertical velocity zero? Select all the apply
1. when an object changes direction.
2.the moment you kick a football in the air.
3. vertical velocity is zero initially when an object is dropped from a window.
4. the moment a ball rolls off a table.
5. the moment you throw a ball in the air.
Answer:
3
Explanation:
When the projectile reaches a vertical velocity of zero, this is the maximum height of the projectile and then gravity will take over and accelerate the object downward. The horizontal displacement of the projectile is called the range of the projectile, and depends on the initial velocity of the object.
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
A bowling ball with a mass of 7.0 kg strikes a pin that has a mass of 2.0 kg. The pin flies forward with a velocity of 7.0 m/s, and the ball continues forward at 4.0 m/s. What was the original velocity of the ball?
The original velocity of the ball was -4.0 m/s, which means it was moving in the opposite direction of the final velocity (4.0 m/s).
How to find the original velocity of the ball?
The original velocity of the ball can be found using the principle of conservation of momentum. The principle of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act upon it. In this case, the closed system is the ball and the pin. Before the collision, the total momentum of the system was zero (since the ball was at rest). After the collision, the momentum of the system is given by the ball's momentum plus the pin's momentum.
The momentum of an object is given by the product of its mass and velocity:
p = m * v
where:
p is the momentum of the object
m is the mass of the object
v is the velocity of the object
First, let's find the total momentum of the system after the collision:
p_total = p_ball + p_pin
p_total = (m_ball * v_ball) + (m_pin * v_pin)
p_total = (7.0 kg * v_ball) + (2.0 kg * 7.0 m/s)
Now, we'll use the principle of conservation of momentum to set the total momentum of the system before the collision equal to the total momentum of the system after the collision:
p_total_before = p_total_after
0 = p_total
0 = (7.0 kg * v_ball) + (2.0 kg * 7.0 m/s)
Solving for v_ball:
v_ball = (-2.0 kg * 7.0 m/s) / 7.0 kg
v_ball = -4.0 m/s
So, the original velocity of the ball was -4.0 m/s, which means it was moving in the opposite direction of the final velocity (4.0 m/s).
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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:
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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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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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.
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.
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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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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