The body's acceleration is equal to zero if the total external force exerted on it is zero.
What happens to an object's acceleration when the net force is zero?When F, the net force, is zero, it can be demonstrated that Newton's First Law is a particular case of the Second Law. The acceleration must also be zero at that point. The velocity stays the same since acceleration is determined by dividing the change in velocity by the amount of time that has passed.
If there is no net force, then there is also no acceleration, right?The object will move at a constant speed if there is no acceleration. We may examine Newton's second law and the acceleration formula mathematically. We are aware that there is no force. The acceleration must be zero because we are aware that the mass cannot be zero.
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A 580 kg elevator accelerates upward at 1.2 m/s2 for the first 13 m of its motion. How much work is done during this part of its motion by the cable that lifts the elevator? Neglect any friction.
The work done during this part of its motion by the cable that lifts the elevator is 64844 Joule.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Upward acceleration of the elevator is = 1.2 m/s².
Mass of the elevator is = 580 kg
Displacement of the elevator = 13 m
Hence, the work is done during this part of its motion by the cable that lifts the elevator = 580 × (9.8 + 1.2) ×13 Joule
= 64844 Joule.
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a child in a boat throws a 5.70 kg package out horizontally with a speed of 10.0 m/s. calculate the velocity of the boat immediately after, assuming it was initially at rest. the mass of the child is 22.0 kg and that of the boat is 50.0 kg. ignore water resistance.
The velocity of the boat immediately after the package is thrown with a speed of 10.0 m/s, assuming it was initially at rest and ignoring water resistance, can be calculated using the equation of conservation of momentum.
The equation states that the total momentum of the boat and the package before the throw is equal to the total momentum of the boat and the package after the throw.
In this case, the initial momentum of the boat is 0 since it was initially at rest, and the initial momentum of the package is 0.7 x 10.0 m/s (due to the mass of the package being 5.70 kg and the speed of 10.0 m/s).
The total initial momentum is thus 0.7 x 10.0 m/s. After the throw, the momentum of the package is 0 since it is no longer part of the system, and the momentum of the boat is equal to the momentum of the package before the throw, which is 0.7 x 10.0 m/s. The velocity of the boat after the throw can be calculated by dividing the momentum of the boat (0.7 x 10.0 m/s) by the mass of the boat (50.0 kg). This yields a velocity of 0.14 m/s.
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a golf club strikes a 0.044-kg golf ball in order to launch it from the tee. for simplicity, assume that the average net force applied to the ball acts parallel to the ball's motion, has a magnitude of 6450 n, and is in contact with the ball for a distance of 0.015 m. with what speed does the ball leave the club?
A 0.044-kg tennis ball is launched from the tee by a golf club. In order to keep things simple, let's suppose that average net pressure acting on the ball is parallel to its motion and has a magnitude of
What is the average speed of an object?
The overall distance the object covers in a given amount of time is its average speed. What is the formula for average speed? What type of quantity—scalar or vector—is average speed? A scalar value represents the average speed. Describe the average speed.
What is the average speed?
What is the average speed? A vector quantity is average velocity. The position change or displace (x) split by the intervals (t) during which the displacement happens is the definition of average velocity. The typical speed can
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If the radius of the circular path is doubled, keeping the radial velocity of the object constant then, the centripetal acceleration of the object will be reduced to half. True Or False
Centripetal acceleration and velocity have a quadratic relationship, therefore when the velocity doubles, the centripetal acceleration quadruples.
When the centripetal acceleration is increased, what happens to the centripetal force?Yes, the acceleration of the object toward the center of the circular motion would grow as the centripetal force increased. For instance, if the mass of the Earth doubled, the satellites orbiting the planet would accelerate twice as fast.
What is the connection between centripetal acceleration and radius?Centripetal acceleration is the term for the change in velocity caused by circular motion. The linear velocity squared divided by the radius of the circle the object is traveling along can be used to compute centripetal acceleration.
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a racing car traveling with constant acceleration increases its speed from 10 m/s to 50 m/s over a distance of 60 m. how long does this take?
The racing car took 2.0 seconds to increase its speed from 10 m/s to 50 m/s over a distance of 60 m.
To answer this question we need two formulas. The first formula is used to solve for the acceleration of the racing car and the second equation is to solve for the elapsed time.
Given : v1 = 10 m/s ; v2 = 50 m/s ; distance(d) = 60 m ; time(t) = ?
Solving for the acceleration a, from formula we have
[tex]v2^{2} -v1^{2} = 2ad[/tex]
(50 m/s)² - (10 m/s)² = 2 × 60 m × a
(2500 - 100) (m/s)² = 120 ma
2400 (m/s)² = 120 ma
a = 2400 (m/s)² / 120 m
a = 20 m/s²
Solving for the elapsed time t
a = [tex]\frac{v2-v1}{t}[/tex]
at = ([tex]v2-v1[/tex])
t=[tex]\frac{(v2-v1)}{a}[/tex]
t=[tex]\frac{(50m/s-10m/s)}{20m/s^{2} }[/tex]
t = [tex]\frac{40m/s}{20m/s^{2} }[/tex]
t = 2.0 s
Therefore, the time taken is 2 secs.-
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Which theories characterize the mechanisms involved in autoimmunity?
Theories that describe the causes underlying autoimmune disease blame genetic predisposition, environmental triggers, and poor regulation.
What are the methods through which infectious pathogens cause autoimmunity?Molecular/epitope mimicry or endogenous antigens mobilization are the two most frequently mentioned ways by which infection triggers autoimmune illness. It is unknown how frequently molecular/epitope mimicry leads to autoimmune illness in people, despite being a frequent source of enhanced natural autoimmunity.
What causes autoimmune disease-related tissue damage?So because self antigens is an integral part of the body, the immune system's effector mechanisms in autoimmune illness target the body's own tissues, causing tissue damage.
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compute the time required for the ball to fall to the ground while experiencing acceleration due to gravity
It would take approximately 1.746 seconds for the ball to fall to the ground from a building that is 15 meters tall.
To calculate the time it takes for a ball to fall to the ground, we can use the equation of motion under constant acceleration, which is:
h = v_0 * t + (1/2) * a * t^2
Where h is the height of the building (15 meters), v_0 is the initial velocity (0 m/s), a is the acceleration due to gravity (9.8 m/s^2), and t is the time.
Rearranging the equation and solving for t:
t = √(2 * h / a)
= √(2 * 15 / 9.8)
= √(30 / 9.8)
= √(3.06122449)
= 1.746 sec
Acceleration due to gravity, also known as "g," is a fundamental constant that represents the rate at which an object falls towards the earth due to the force of gravity. It is defined as the acceleration that a freely falling object experiences as it falls towards the earth. The acceleration due to gravity on the surface of the earth is approximately 9.8 m/s^2. This means that every second an object falls, it gains an additional 9.8 meters per second of velocity.
The acceleration due to gravity is a function of the mass of the object and the distance between it and the center of the earth. The more massive the object and the closer it is to the earth, the greater the acceleration due to gravity. The acceleration due to gravity also decreases with increasing altitude, meaning that objects fall more slowly the higher they are above the earth's surface.
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Complete Question: -
For a building having a height equal to the quantity you have recorded for Day in meters (in our example 15 meters), compute the time required for the ball to fall to the ground while experiencing acceleration due to gravity (g=9.8m/s2).
A magnet is cut in half. Why does this not form a monopole (an isolated pole), even though one half contains the original north pole and the other half contains the original south pole?
A. Domains align to make a north and a south pole on both halves.
B. Electron movement changes direction toward the south pole.
C. The sum of magnetic fields is too small.
D. There are two magnetic fields opposing each other.
This not form a monopole (an isolated pole), even though one half contains the original north pole and the other half contains the original south pole because D. There are two magnetic fields opposing each other.
About magnetsMagnets are divided into two types, namely natural magnets and artificial magnets. Natural magnets are magnets that are formed from natural processes, without human intervention.
Meanwhile, artificial magnets are magnets made by humans using objects that contain magnetic elements. Homemade magnets are divided into two types, artificial magnets are permanent (fixed) and temporary.
Permanent magnets are magnets whose magnetic properties will remain and not easily disappear. Conversely, temporary magnets are magnets whose magnetic properties are only temporary or not permanent.
Magnets always have two poles, namely the north pole (U) and the south pole (S). The magnetic force in attracting certain objects is called magnetic force. Magnets can be U-shaped, cylinders, rods, needles, chips to horseshoes (horseshoes).
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an airplane touches down at an airport traveling 90.6 m/s and slows at a rate of 17.9 m/s2. how long will it take to come to a stop?
A plane lands at an airport moving at a speed of 90.6 m/s and then slows down to a speed of 17.9 m/s2. It will take 5 seconds for the jet to come to a stop.
Given,
initial velocity u=90.6 m/s
De-accerlation(a)=-17.9 m/s²
final velocity v will be zero because it stops finally
applying the equation of motion
[v=u+at ] t is time
0=90.6-17.9t
t=9.6/17.9
t=5.06 sec
t=5 sec
hence it will take t=5sec to come
the rate at which an object's location changes in any direction. Speed is defined as the relationship between a distance and the time it takes to travel that distance.
Measurement is the most important concept in science. Using base or physical fundamental units, many measurable phenomena can be quantified. The ratio of a moving object's distance traveled to its travel time can be calculated using several quantitative elements, one of which being speed. This lesson will cover all there is to know about speed. In autos, the speed is measured by the speedometer. Odometers are employed to calculate a person's trip distance.
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when you touch a friend after walking across a rug on a dry day, you typically draw a spark of about 2 mm. the magnitude of the electric field for which dielectric breakdown occurs in air is about 3 mv/m. estimate the potential difference between you and your friend before the spark.
The potential difference between you and your friend before the spark was approximately 6 volts.
The potential difference between two objects can be estimated using the formula:
V = E * d
where V is the potential difference, E is the electric field, and d is the separation distance between the objects.
In this case, the separation distance is approximately 2 mm, and the electric field for dielectric breakdown in air is 3 MV/m.
So, V = 3 MV/m * 2 mm = 6 MV * 10^-3 m = 6 V.
Therefore, the potential difference between you and your friend before the spark was approximately 6 volts.
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point p in the figure indicates the position of an object traveling at constant speed clockwise around the circle. which arrow best represents the direction of the acceleration of the object at point p?
The arrow points toward the origin when an object travels at constant speed clockwise around the circle.
What is the motion termed when a particle travels in a circle?The term "circular motion" refers to the movement of an object along the circumference of a circle or the rotation of an object around a circle. It is known as uniform circular motion when a particle moves in a circle while maintaining a constant speed.
What is the centripetal force, exactly?Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.
In a circular motion at a constant speed, which of the following is accurate?The speed is constant in a uniform circular motion. However, the body's orientation keeps shifting. This is brought on by an acceleration that at every location is perpendicular to the direction of movement.
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which part of the microscope is needed to be adjusted to have better contrast when viewing a specimen under the microscope?
Answer:condenser diaphragm
Explanation:
What is the advantage of having a large number of oscillations?
The more the number of the oscillations that we have the more we can have an accurate measurement.
Why do we have many oscillations?Having a large number of oscillations in a system can increase its accuracy and stability, as well as its ability to process signals. For example, in the field of signal processing, a higher number of oscillations can result in a more detailed and accurate representation of a signal.
Additionally, in control systems, a larger number of oscillations can make the system more robust and less prone to errors.
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You'll get a more accurate result for the average oscillation having a large number of oscillations and decrease the level of uncertainty with your result.
What is oscillation?Oscillation is the repeating or periodic change of a quantity around a central value or between two or more states, often in time. Alternating current and a swinging pendulum are two common examples of oscillation.
An object's mechanical oscillations are referred to as vibrations. However, oscillations also happen in dynamic systems, or to be more precise, throughout all of science. Even our heartbeat generates vibrations. Oscillators, meanwhile, are described as having motion towards an equilibrium point.
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What discovery led J.J. Thomson to decide that atoms were not indivisible, but are actually composed of smaller parts?
Thomson used a scanning tunneling micrograph to capture images of atoms.
Thomson used a beam of negatively charged particles.
Thomson used only the experimental results of other scientists.
J. J. Thomson used a beam of negatively charged particles to decide that atoms were not indivisible, but are actually composed of smaller parts.
What is electron?The known lightest stable subatomic particle is the electron. It has an adverse charge. The English physicist J.J. Thomson made the discovery of the electron in 1897 while researching cathode rays. His discovery of electrons—originally referred to as corpuscles—revolutionized our understanding of atomic structure.
Under normal circumstances, the attraction between opposite electric charges holds electrons to the positively charged nucleus of atoms. The number of positive charges on the nucleus and the number of electrons in a neutral atom are the same.
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Answer:
B. Thomson used a beam of negatively charged particles.
Explanation:
One reactant concentration is When using the method of initial rates for a kinetic study, the reaction is performed choose... kept constant, and the other choose...
When doing a kinetic research utilizing the method of starting rates, the reaction is repeated several times. While the concentration of one reactant fluctuates, the other is maintained constant.
What, using an example, is concentration?You can determine what more solute has been dispersed in the solvent by looking at the level of the solution's concentration. For instance, the concentration may be stated as 1 teaspoon of salt per 2 cups of water if you add 1 teaspoon to 2 cups of water.
How are concentration levels determined?Molarity, a typical measurement used for this, is utilized. Molarity (M) is calculated by dividing the volume of the solution (V) in liters by the quantity of moles for solute (n). It's critical to remember that its molarity is determined by the moles of the solute in liter fluid.
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The complete question is-
When using the method of initial rates for a kinetic study, the reaction is performed ____. One reactant concentration is kept constant, and the other _____.
a long uniform beam of length is supported by a cable at its center. a steel worker stands on the beam at one end. where should a bucket of concrete mix be suspended if the beam is to be in static equilibrium?
To achieve a static equilibrium on the beam, the bucket of concrete mix should be suspended at the midpoint of the beam, directly above the cable.
This ensures that the weight of the bucket is balanced on both sides of the cable, so that the beam remains in a state of equilibrium. The bucket should also be suspended from a point that is directly above the cable, so that the force exerted by the cable is equal on both sides of the beam.
This will ensure that the beam does not tip or move from its current position. To further ensure the safety of the steel worker, the bucket should be securely attached to the beam so that it does not move around when the worker is standing on it.
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A. Trip A to B
B. Trip B to C
C. Trip C to D
Answer:
trip B to C
Explanation:
The slope gives the speed. BC there is no slope. that is why stationery position
an automobile is traveling west. can it have a velocity toward the west and at the same time have an acceleration toward the east? under what circumstances?
Yes, a car can accelerate in the direction of the east while also traveling at a westward speed. This would happen if the car was accelerating and decelerating in a westward direction.
How does an object's capacity to change direction while moving depend on the magnitude of its velocity and acceleration?
The amount of acceleration and velocity determine how easily an object can change direction while it is moving. Since the object has more momentum at a higher velocity, changing direction is more difficult. On the other hand, the faster an object can change direction, the greater the acceleration. It might not be able to, though, if the acceleration is too low.
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there is a minimum angle above the ground such that if the ball is launched below this angle, it can never clear the bar, no matter how fast it is kicked. what is this angle?
The minimum angle above the ground such that the ball can clear the bar is 17.9°.
How to calculate?The minimum angle can be found by calculating the range of the ball, which is the maximum horizontal distance it can travel.
It is given by:
R = V_0^2 * sin(2θ) / g
where
V_0 is the initial velocity,
θ is the launch angle,
g is the acceleration due to gravity (9.8 m/s^2).
R = 36.0 ft = 11.0 m, a
solving for the minimum launch angle:
11.0 = V_0^2 * sin(2θ) / 9.8
sin(2θ) = 11.0 * 9.8 / V_0^2
θ = sin^-1(√(11.0 * 9.8 / V_0^2) / 2)
There is a general assumption that a typical kick is around 20 m/s.
Therefore the minimum angle above the ground such that the ball can clear the bar is
θ = sin^-1(√(11.0 * 9.8 / 20^2) / 2) = sin^-1(0.306) = 17.9°
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Complete question:
In Canadian football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts. The bar is 10.0 ft above the ground, and the ball is kicked from ground level, 36.0 ft horizontally from the bar. Football regulations are stated in English units, but convert them to SI units for this problem. There is a minimum angle above the ground such that if the ball is launched below this angle, it can never clear the bar, no matter how fast it is kicked. What is this angle?
the heavyweight boxing champion of the world punches a sheet of paper in midair, bringing it from rest up to a speed of 27.5 m/s in 0.056 s . the mass of the paper is 0.003 kg . part a find the force of the punch on the paper. express your answer to two significant figures and include the appropriate units.
The world heavyweight boxing champion punches a piece of paper in midair, accelerating it from rest to 23.0 m/s in 0.060 seconds. The paper weighs 0.003 kg.
How do you gauge a punch's momentum?Transferring momentum is the key to receiving a punch. If you don't take action, the force of the fist striking you will be transmitted to your body. A fist has a mass of m and moves towards you at a given velocity, v. Momentum (p = mv) is equal to the product of mass with velocity (mass times velocity).m=0.003kg , v=26.5m/s u=0(the paper is punched from rest) t=0.044s F=1.8N
What is the punch's force?An average human punch produces 360–450 pounds of force altogether, or 120–150 psi. Remember that these figures are averages, meaning that some persons fall outside of the range on both the lower and upper ends.
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if the speeding sports car were to turn around and drive west at 35.0 m/s toward the approaching police car, what frequency would the driver of the sports car hear?
The frequency heard by the driver of the sports car would be 0.907 times the original frequency of the police car's siren.
The frequency heard by the driver of the sports car would be an increased pitch due to the Doppler effect. The Doppler effect describes the change in frequency of a wave in relation to an observer who is moving relative to the source of the wave. In the case of the sports car, the observer is the driver and the source of the wave is the sound of the police car's siren. The formula for calculating the frequency heard by the observer is given by:
[tex]f' = f * (v + v_s)/(v + v_o)[/tex]here f is the original frequency of the siren, v is the speed of sound,[tex]v_s[/tex] is the speed of the source (the police car), and[tex]v_o[/tex] is the speed of the observer (the sports car).
Plugging in the values, we get:
[tex]f' = f * (340 + 0)/(340 + 35)\\ = f * (340)/375 \\= f * 0.907[/tex]
So ,the frequency heard by the driver of the sports car would be 0.907 times the original frequency of the police car's siren.
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i add 4000 joules to 1 kg of a liquid and it warms up by 2 oc. what is the specific heat of the liquid? group of answer choices 200 j/kg oc 500 j/kg oc 2000 j/kg oc 8000 j/kg oc
Pressure and temperature, a liquid's specific heat conductivity (Cp) is approximately 4.2 J/g°C. According to this, 4.2 watt years of energy needed to raise 1 water gram's temperature 1 degree Celsius.500 j/kg oc
What does liquid and solid specific heat mean?In other terms, a solid's or liquid's specific heat is the amount of energy needed to increase the temperature of an unit weight of the solid by one degree Celsius. We represent it as C. The heat needed to raise the temperature for 1 kg solid or liquid by 1K is measured in S.I. units.
Is the liquid's specific heat constant?The specific thermal conductivity of various states of materials varies often with temperature. At 20 °C, liquid water has one of the largest specific heat capacities of any common solid (4184 J kg 1 K), whereas ice's is just 2093 J kg 1 K.
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explain why the vetcors can't be a closed diagram
Since they were viewing the movements of the vectors from various angles, the students discovered that the directions of the vectors didn't constantly point the same direction.
Vector addition is what?Combining two maybe more units to get a scalar sum is known as vector addition. By aligning the two nodes head to tail and dragging the wires from the nozzle exit to towards the free head, it is possible to determine the sum for two vectors.
What exactly does the word "vector" mean?A quantity or phenomena with independent attributes for size and direction is called a vector. Another meaning of the term is the mathematical or geometrical representation of a quantity. In nature, vector examples include force, weight, magnetic waves, and motion.
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after absorbing optical sunlight, the moon and mercury both re-emit this energy in the infrared and have nearly negligible atmospheres. in terms of re-emitted thermal blackbody luminosity, how much more or less luminous is the moon compared to mercury?
The moon is less luminous when compared to mercury. It is based on the fact that the luminosity of a spherical blackbody is proportional to the square of its radius and to the fourth power of its temperature.
What degree does the moon's radiation have?On the Moon, the daytime temperature can reach 253 °F (123 °C), while the nighttime temperature can reach -387 °F (-233 Celsius). As a body's temperatures fall, it emits less radiation and its maximum emission frequency reduces.
What transpires to a black body's radiation when its temperature rises?(Wien's Law) The peak wavelength declines as the blackbody's temperature rises. As the blackbody's temperature is raised, the intensity (or flux) at all wavelengths rises. As the temperature goes up, the total energy being radiated (the area under the curve) keeps growing (Stefan–Boltzmann Law).
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divide force
(kg · m/s²) by acceleration
(m/s²) what units do you get?
Since the rate of change in velocity is referred to as the object's acceleration, we may calculate acceleration in meters/second2 by dividing velocity m² by time (seconds).
Describe acceleration?A acceleration of the cart is the frequency with which the object's velocity changes in relation to time.as stated in the issue We must determine the outcome if you divide the velocity in meters per second by the time in seconds.
What does class 9 acceleration mean?The definition of acceleration is the speed at which velocity varies with function of time. Since acceleration has both a magnitude and a direction, it is a vector quantity. It is also the first derivative for velocity profile or the derivative of point with regard to time.
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a normal person stands at the top of a 14.64-m tall cliff overhanging a pool of water. she throws two stones, 0.35 s apart, both straight down and finds they reach the water at the same time. the first stone's initial speed was 2.52 m/s. how fast was the second stone moving as it hit the water (i.e. what is its speed)?
The velocity of the second stone as it hit the water was 2.5m/s.
According to the question;
A person throws two stones into a pool of water from the top of a 14.64-meter-high cliff, 0.35 seconds apart.
The initial speed of the first stone was 2.52 meters per second.
We may use the kinematic equation to determine the second stone's speed when it struck the water:
v² = u² + 2as
where,
v = the final velocity = final velocity of second stone in this case = to find out
u = initial velocity = 2.52 m/s
a = acceleration = acceleration due to gravity in this case = -9.8 m/s²
s = distance = 14.64 m
In the equation, we may substitute the known values to obtain:
v² = 2.52²- 2(-9.8)×14.64
⇒ v² = √(2.52^2 - 2(-9.8)(14.64)) m/s
⇒ v² = √(6.3408) m/s
∴ v² = 2.5 m/s
As a result, when the second stone hit the water, it was traveling at a speed of 2.5 m/s.
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places where particles of the medium crowd closer together are called as?
Compressions are regions where particle of a material congregate more closely.
What is in a particle?The Benchmark Model of Subatomic Particles is now thought to be the best theory to explain the universe's most fundamental constituents. It discusses how the building blocks of all known matter are quarks, who make up the protons and neutrons, and leptons, which contain electrons. Protons and electrons, two of the quantum particles, each have an electrical charge of one or the other.
What types of particles are there?Just several examples of particles are planets, carboxyl group, and electrons. Quarks and protons are fundamental particles. The fundamental particles, which are the tiniest, lowest massive particles, already represent the most stable.
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Are the following statements true or false? Explain your answer.a. The magnitude of a vector can be different in different coordinate systems.b. The direction of a vector can be different in different coordinate systems.c. The components of a vector can be different in different coordinate systems.
The magnitude of a vector can be different in different coordinate systems is a false statement. The direction of a vector can be different in different coordinate systems is a true statement. The components of a vector can be different in different coordinate systems is a true statement.
Why direction of a vector can be different in different coordinate systems?The direction of a vector can be different in different coordinate systems. This is because the direction of a vector is defined with respect to a reference frame or coordinate system.
Can the elements of a vector be different in different coordinate systems?The elements of a vector can be different in different coordinate systems. This is because the components of a vector are defined with respect to the axes of a particular coordinate system.
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suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.03 times a second. a tack is stuck in the tire at a distance of 0.401 m from the rotation axis. noting that for every rotation the tack travels one circumference, find the tack's tangential speed.
The tack's tangential speed is 5.08 m/s.
The circumference of the wheel can be calculated as follows:
C = 2 * pi * r
Where C is the circumference, pi is the mathematical constant pi (approximately equal to 3.14), and r is the distance of the tack from the rotation axis (0.401 m). Plugging in the values, we get:
C = 2 * pi * 0.401 m = 2.51 m
Since the wheel is rotating at a constant rate of 2.03 times per second, the tangential speed of the tack can be calculated as follows:
v = r * omega
Where v is the tangential speed, r is the distance of the tack from the rotation axis (0.401 m), and omega is the angular velocity of the wheel, given by:
omega = 2 * pi * f
Where f is the rotational frequency of the wheel (2.03 rotations per second). Plugging in the values, we get:
omega = 2 * pi * 2.03 s^-1 = 12.7 rad/s
v = r * omega = 0.401 m * 12.7 rad/s = 5.08 m/s
So, the tack's tangential speed is 5.08 m/s.
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assuming that the dewpoint remains constant over the course of the day, at what time is the relative humidity likely to be highest?
Given that the dewpoint or absolute humidity does not fluctuate, relative humidity will be highest in the early morning when the air temperature is lowest, and lowest in the afternoon when the air temperature is highest.
What is relative humidity, explain?The relative humidity (RH) of a water-air mixture is the quantity of water vapour present in comparison to the highest amount attainable. RH is a ratio of a specific water-air mixture's humidity ratio to the saturated humidity ratio at a given temperature (dry-bulb). It is vital to remember that the application of relative humidity is dependent on knowing both the dry-bulb temperature and the RH. The quantity of moisture in a water-air combination at 80% relative humidity at 40°C, This is why, for example, postharvest storage recommendations include both relative humidity and temperature.
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