A horizontal force is one that moves in a direction perpendicular to the horizon.
If we exert a horizontal force, when?Apply the equilibrium equation at C.ΣΜ =025x4-7, sin 30°x7=010-3.57=0 TR₁ = 2.857 kipCalculate the length of the steel wire (1)7cos 30° = 8.083 ftCalculate the stretch/elongation in the wire, using the following for AE2.857x(8.083×12 (022 * 29000-0.3042 inusing this and it is constantly perpendicular to the contact area.
What kind of thing is horizontal?A line going form left to right is referred to as a horizontal line. The sunrise is seen across a horizontal line when it appears over the horizon. A perfect example of the a horizontal line is the x-axis.
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which of the following has the highest frequency? a. visible light b. you can't fool me, all these have the same frequency c. ultraviolet waves d. radio waves e. gamma rays
The term that has the highest frequency is e. gamma rays.
What is gamma rays?A type of electromagnetic radiation are gamma rays (EMR). Only the fact that they are released from an excited nucleus sets them apart from X-rays.
Gamma radiation, commonly referred to as gamma rays, are piercing electromagnetic radiation waves that result from the radioactive disintegration of atomic nuclei. It comprises of electromagnetic waves with shorter wavelengths than X-rays, on average.
A redistribution of electric charge within a nucleus produces gamma rays, a kind of electromagnetic radiation. The difference between gamma rays and X rays is not based on their basic characteristics, but rather on their origins. Gamma rays are essentially very energetic X rays.
Therefore, option E is correct.
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Gamma rays (option E) has the highest frequency among the options given.
What is frequency?The number of times a repeated event occurs in a given amount of time is known as its frequency. Because it differs from angular frequency, it is also sometimes referred to as temporal frequency. Hertz, which equals one occurrence per second, is the unit used to measure frequency.
What is gamma ray?Gamma radiation, commonly referred to as gamma rays, are piercing electromagnetic radiation waves that result from the radioactive disintegration of atomic nuclei. It comprises of electromagnetic waves with shorter wavelengths than X-rays, on average.
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i have a wave traveling on a taut string. the tension on the string is 5 newtons. it has a mass of 3 grams, and it is 20 centimeters long. what is the speed of the wave?
The distance a waves covers in a certain length of time is known as its wave speed. The following equation relates wave speed to both wave frequency and wavelength: Wavelength x Frequency equals speed.
How does stress affect wave speed?The vertical density and tension v=FT can be used to determine the wave's speed. According to the formula v = FT, the stress would have to be raised by a ratio of 20 if the utilized was to grow by a number of the almost 20.
What makes up the tension force in a string?Tension is the force that is sent through a cable, string, or wire whenever two opposing forces pull on it. Along the full length of the wire, the tensile stress pulls energy equally only on the bodies at the ends.
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can the average person tell that a 2002-hz sound has a different frequency than a 1999-hz sound without playing them simultaneously?
Since the percent difference between these frequencies is only 0.15%—less than the limit of 0.3%—it wouldn't be able to differentiate among them.
Who defines frequency?
the meaning of frequency 1: the regular occurrence of something the frequency of car accidents The amount of times the same series of values is repeated by a periodic function throughout the course of a unit fluctuation of the variable B: A set of data's number, percentage, or percent of things in a specific category
What are the frequency's bounds?
Frequency. In fact, it seems unlikely that there are any lower or higher restrictions to frequency, other from those that apply to... Its frequency is 2 every second if the period, or timeframe, needed to complete one cycles or oscillation is 1/2 second; it is 100 per hour if the duration is 1/100 of an hour.
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sam heaves a 16 lb shot straight upward, giving it a constant upward acceleration from rest of 40.0 m/s2 for a height 68.0 cm . he releases it at height 2.20 m above the ground. ignore air resistance.
The maximum height the shot will reach is 3.08 m (2.20 m + 68.0 cm).
Calculate the initial velocity of the shot. Since the shot is initially at rest, the initial velocity is 0 m/s.
Calculate the time it takes for the shot to reach the maximum height. This can be calculated using the formula: t = (vf - v0) / a, where vf is the final velocity, v0 is the initial velocity, and a is the acceleration. In this case, vf = 0 m/s, v0 = 0 m/s, and a = 40.0 m/s2. Therefore, t = 0 / 40.0 m/s2 = 0 s.
Calculate the maximum height the shot will reach. This can be calculated using the formula: h = v0t + (1/2)at2. Since v0 = 0 m/s, t = 0 s, and a = 40.0 m/s2, h = 0 + (1/2)(40.0)(0)2 = 0 m. Therefore, the maximum height the shot will reach is 0 + 2.20 m = 2.20 m + 68.0 cm = 3.08 m.
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Drag each label to the correct location on the chart.
Classify the statements as correct or incorrect.
Convection is a method of heat transfer that occurs when fluids (liquids or gases) are heated and the resulting motion of the fluid carries heat from one location to another.
What is convection?
A thermometer measures an average kinetic energy of a substance - Correct
Heat is a form of energy - Correct
Convection occurs only in liquids and gases - Incorrect (Convection can occur in both liquids and gases, but it can also occur in solids).
All substances radiate heat- correct
Our body temperature is always equal to the temperature around us - Incorrect ( the body can be influenced by the external temperature, it is not always equal to it and has its own mechanisms to regulate its internal temperature), Heat flows from a colder substance to a hotter substance - Correct (This is the second law of thermodynamics). It occurs due to the density differences in a fluid caused by temperature variations. As a fluid is heated, its density decreases, causing it to rise. Cooler fluid, which is denser, then flows into the region left by the rising warm fluid, and the cycle repeats, creating a convection current.
There are two main types of convection: Natural convection, which occurs in the absence of any external forcing. Forced convection, where an external force, such as a pump or a fan, is used to drive the fluid motion and enhance heat transfer.
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6. in this experiment, you learned that the acceleration due to gravity is a constant that does not depend on the initial velocity. equation (2.3), however, has a v0 in it. are these two facts consistent? why?
Since all of the inputs used to calculate acceleration due to gravity (g) are constants, g will always have the value of a planet.
Equation 2.3 is derives using
v = v₀ + at
a = (v - v₀)/t
this is the equation for the final velocity or the velocity of an object accelerating with "a" for time t. In the Equation 2.3, a is not g, indeed its the acceleration of the object which was initially moving with velocity v₀, has an acceleration for time t.
For a projectile motion, in all the equations of motion we take a = g = 9.81 m/s², since the only acceleration that a projectile has is that due to gravity.
The value of acceleration due to gravity is calculated using
g = G M/R² ; where G is the universal gravitational constant; R is the radius of the earth and M is its mass.
So all the parameters for the calculations of g are constants and hence, g will have a constant value of a planet. Like for earth g = 9.81 m/s².
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The complete question is:
In this experiment (Free Fall), you learned that the acceleration due to gravity is a constant that does not depend on the initial velocity. Equation (2.3), however, has a v₀ in it. Are these two facts consistent? Why?
Equation 2.3 is, a = (v - v₀) / t where,
a = acceleration (m/s²)
v = final velocity (m/s)
v₀ = initial velocity (m/s)
t = time (sec)
n electron is accelerated by a potential difference of 3000v and enters a region of a uniform magnetic field. as a result the electron bends along a path with a radius of curvature of 26.0 cm. find the speed as it enters the magnetic field
7.66 x 10⁷ m/s is the speed as it enters the magnetic field if an electron is accelerated by a potential difference of 3000v.
The radius of curvature of an electron in a magnetic field is given by the equation:
[tex]r=\frac{mv}{(qB)}[/tex],
where m is the mass of the electron, v is its velocity, q is its charge, and B is the magnetic field.
Knowing the radius of curvature and the charge and mass of an electron, magnetic field we can rearrange the equation to find the velocity:
[tex]v = \frac{qB * r}{m}[/tex].
Substituting the known values:
v = (1.6 x 10⁻¹⁹ C) * (B) * (26.0 cm) / (9.11 x 10⁻³¹ kg)
Since the electron is accelerated by a potential difference of 3000V, we can calculate its kinetic energy using the equation:
K = 0.5 * m * v²,
and then use that to find the velocity:
K = eV = 0.5 * m * v²,
where e is the electron charge, and V is the potential difference.
Solving for v:
v = √(2 * eV / m) = √(2 * (1.6 x 10⁻¹⁹ C) * (3000 V) / (9.11 x 10⁻³¹ kg)) = 7.66 x 10⁷ m/s.
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if you double the radius what happens to the velocity of the object?
The claim is that the velocity of the item will be decreased in half if the radius is doubled.
Why is velocity called that?As a result, the unit of velocity is meters a second, or m/s. The metric measure of speed is the meters per second (m/s). Cm per second (cm/s) can also be used to measure velocity.
What is an illustration of velocity?Velocity may be defined as the rate at which an object moves in a certain direction. as the pace of a car driving north on a freeway or the pace at which a rocket takes off.
The following equation states: The radius affects the movement in a circle in physics, and is expressed as v =r * ω , where v is motion, r represents radius, and is angular velocity. If the radius doubles, you must lower the rate by half in order to maintain the same angular velocity.
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an uncharged capacitor has parallel plates 5.0 cm on a side, spaced 1.6 mm apart. part a part complete how much charge must be transferred between the initially uncharged plates in order to store 15 mj of energy? express your answer with the appropriate units. q
The amount of charge that must be transferred to store 15 mJ of energy is 1.58 µC.
The amount of charge that must be transferred between the plates of an uncharged capacitor to store a given amount of energy can be calculated using the formula for capacitive energy,
[tex]$U = \frac{1}{2} C V^2$[/tex]
where C is the capacitance of the capacitor and V is the voltage across the plates. The capacitance can be calculated using the formula
[tex]$C = \frac{\epsilon_0 A}{d}$[/tex]
where [tex]$\epsilon_0$[/tex] is the electric constant, A is the area of the plates, and d is the distance between the plates.
Substituting the given values, the capacitance of the capacitor is
[tex]$C = \frac{\epsilon_0 (5.0 \text{ cm})^2}{1.6 \text{ mm}}[/tex]
[tex]= 1.56 \times 10^{-10} \text{ F}$[/tex]
Solving for the voltage,
[tex]$V = \sqrt{\frac{2U}{C}} = \sqrt{\frac{2 \cdot 15 \text{ mJ}}{1.56 \times 10^{-10} \text{ F}}}[/tex]
[tex]= 1.01 \times 10^3 \text{ V}$[/tex]
Finally, the amount of charge that must be transferred is
[tex]$Q = CV = 1.56 \times 10^{-10} \text{ F} \cdot 1.01 \times 10^3 \text{ V}[/tex]
[tex]= 1.58 \text{ }\mu\text{C}$[/tex]
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two bodies are brought into contact in an isolated enclosure until they both reach the same temperature. the two bodies have reached a state of .
If the two bodies are brought in contact in an isolated enclosure until they reach the same temperature, they said to be reached in a stet of thermal equilibrium.
What is thermal equilibrium ?The state between two objects at which no heat energy is exchanged between each other is called a thermal equilibrium. The final temperature of both the systems then become equal.
The heat will transfer from high temperature area to the low temperature area. We can experience this through simple ways for example if we touch the ground which is cool, the heat energy from our body will flow to the ground and our body becomes cooling down until our foot and the floor have the same temperature.
The heat energy is always conserved between the systems. Hence, the energy gained by a body is equal to the energy lost by the other. When they reach the same temperature by this exchange they attain the equilibrium.
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the spring has a spring constant of 2000 n/m, and it is undeformed when the collar is at position 1. what is the magnitude of the spring force at the instant when the collar moves to position 2: a collar is shown with a spring attached. the spring has a spring constant of 2000 n/m, and it is undeformed when the collar is at position 1. what is the magnitude of the spring force at the instant when the collar moves to position 2: a collar is shown with a spring attached. 200 n 300 n 400 n 100 n 500 n
C. 400 N, Hooke's law, which states that a spring's force is exactly proportional to how much it is stretched or compressed, may be used to estimate the size of the spring constant.
According to Hooke's rule, which states that a spring's force is exactly proportional to how much it is stretched or compressed, the size of the spring constant may be calculated. F = -kx, where x represents the collar's displacement from its equilibrium position and k is the spring constant, is the equation for Hooke's law. The displacement in this instance is equal to x = position 2 - position 1, and the spring constant is 2000 N/m. If the displacement is x = 1 metre, then F = -2000 N/m * 1 m = -2000 N = 2000 N represents the spring force at the point that the collar moves to position 2.
So, C. 400 N is the correct response.
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a ball is thrown directly up from a height of 0m with an initial speed of 2m/s. calculate the height of the apex of the throw
A ball is thrown directly up from a height of 0m with an initial speed of 2m/s. The height of the apex of the throw is approximately 0.825 meters.
The height of the apex of the throw can be calculated as follows:
h = vi * t - 0.5 * g * t^2
where:
vi = initial velocity = 2 m/s (up)
t = time of flight = 2 * vi / g
g = acceleration due to gravity = 9.8 m/s^2
Plugging in the values, we get:
t = 2 * 2 / 9.8 = 0.408 seconds
h = 2 * 0.408 - 0.5 * 9.8 * 0.408^2
h = 0.825 meters
Initial velocity refers to the magnitude and direction of the velocity of an object at a specific point in time. It is an important concept in physics, particularly in the study of kinematics, which is the branch of mechanics that deals with the motion of objects without considering the forces that cause the motion.
Initial velocity can be determined by various factors such as the position, velocity, and acceleration of an object at a given time. In most cases, it is expressed in meters per second (m/s) or other units of speed. Initial velocity plays a critical role in determining the trajectory and motion of an object. For example, when a ball is thrown, the initial velocity determines the initial speed and direction of the ball, which in turn affects its trajectory and how far it will travel.
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positive charge of q coulombs is uniformly spread over a large flat surface of area 6.77 meters squared. what would q need to be to make the magnitude of the electric field 0.00264 meters away from the surface equal to 1.43 n/c?
The Q need to be to make the magnitude of the electric field 0.00264 meters away from the surface equal to 1.43 nC is 1.07 × 10⁻⁹ C.
The magnitude of the electric field at the point near the charged surface is as :
E = Q / (4 × π × ε × A)
Q = E ( 4 × π × ε × A)
Where
E = 1.43 nC
ε = 8.85 x 10⁻¹² C²/N m²
A = 6.77 m²
Q = E ( 4 × π × ε × A)
Q = 1.43 × 4 × 3.14 × 8.85 x 10⁻¹² × 6.77
Q = 1.07 × 10⁻⁹ C
Thus, the charge is 1.07 × 10⁻⁹ C.
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how does the effect of a wrong calibration compare to measurement uncertainty for the case of determining the angle of incline?
In general, a wrong calibration will have a larger impact on the accuracy of the angle of incline determination compared to measurement uncertainty.
In determining the angle of incline, both a wrong calibration and measurement uncertainty can affect the accuracy of the result.
A wrong calibration refers to a systematic error, where the measuring instrument is not properly calibrated, leading to consistently incorrect results. This can result in a significant deviation from the true angle of incline.
Measurement uncertainty, on the other hand, refers to the random error inherent in any measurement process. It represents the range of values within which the true value is likely to lie, based on the precision and accuracy of the measuring instrument. In determining the angle of incline, measurement uncertainty would result in a small degree of error that could randomly over- or under-estimate the true angle.
In general, a wrong calibration will have a larger impact on the accuracy of the angle of incline determination compared to measurement uncertainty. However, it is still important to consider both sources of error in order to obtain the most accurate results possible.
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a body of mass 2.00 kg is pushed straight upward by a 25.0 n external vertical force near the surface of the earth. what is its the magnitude of the object's acceleration?
The speed change over time is measured by the size of the acceleration vectors along path. The centripetal acceleration of the path as it circles the instantaneous curve radius determines the path's magnitude (t).
How can the strength of an accelerated force be determined?The acceleration that an object experiences is equal to the net force exerted on it multiplied by its masses, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the total force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.
What is magnitude?Magnitude is simply "distance or quantity" in the context of physics. It shows the size or direction in either absolute or relative terms. In the notion of motion, a thing is moving It can be used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.
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if the ages of the earth and the moon are nearly identical, as believed, why are most rocks found on the moon so much older than rocks found on earth? group of answer choices
In contrast to the Earth, which has an atmosphere that weathers rocks and plate tectonic activity that breaks up rocks, if the ages of the Earth and the Moon are approximately equal as is thought, then the moon does not.
Why does the rock on the Moon have a longer age than the rock on Earth?That's because the moon most likely developed following a rogue, Mars-sized planet's early solar system collision with the newborn Earth.
Why are Earth's rocks younger than those on Mars and the Moon?On Earth, similar rock types that have been sculpted by melting, volcanism, and collisions are present. The earliest rocks on Earth were destroyed by weathering and plate tectonics. Moon rocks are older than any previously discovered ones.
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a stream of gas consists of n molecules. each molecule has a mass m and speed v. the beam is reflected elastically from a rigid surface as shown. the magnitude of the total change in momentum of the stream is:
The magnitude of the total change in momentum of the stream is equal to the sum of the momentum of each molecule multiplied by the number of molecules, n, which is:
mvn
Where m is the mass of each molecule and v is the speed of each molecule.
This equation is derived from the law of conservation of momentum, which states that the total momentum of a system before and after a collision must remain the same. Therefore, the total change in momentum of the system is equal to the sum of the momentum of each molecule multiplied by the number of particles.
This equation is useful for calculating the momentum of a system, such as a stream of particles, when the mass and speed of the individual particles are known.
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what relationship do you notice between the value of greatest elongation of a planet and its distance from the sun?
The relationship between the greatest elongation of a planet and its distance from the sun is an inverse relationship.
The maximum angular distance between a planet and the sun as seen from earth is considered to be its greatest elongation. It stands for the point in a planet's orbit where it is furthest distant from the sun.
A planet's greatest elongation grows as it gets farther from the sun. On the other hand, a planet's greatest elongation diminishes as it gets nearer to the sun. This connection results from the fact that, as seen from Earth, a planet's angle with the sun will be larger the further it is from the sun.
In other words, the maximal elongation of a planet will increase with increasing distance from the sun.
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what is the voltage between two points if 1.2 j of energy are required to move 10 mc between the two points?
The voltage between two points if 1.2 j of energy are required to move 10 mc between the two points is 120 V.
Voltage difference, also known as voltage drop or electrical potential difference, is the measure of the electric potential energy difference between two points in an electrical circuit. The voltage difference between two points determines the amount of energy required to move a unit of electric charge between those two points.
Voltage can be calculated using the formula:
V = ΔE / ΔQ
where ΔE is the change in energy and ΔQ is the change in charge. In this case, ΔE = 1.2 J and ΔQ = 10 mc, so:
V = ΔE / ΔQ = 1.2 J / (10 mc) = 120 V
Therefore, the voltage between the two points is 120 V.
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two waves traveling in the same medium interfere to produce a standing wave. what is the phase difference between the two waves at a node?
The phase difference between the two waves at a node is 180 degrees
What is phase difference?In wave theory, phase difference is defined as the difference in phase between two waves. The phase of a wave is a measure of the position of the wave relative to a reference point in time and space. For two waves with the same frequency and wavelength, a phase difference of π radians (180 degrees) corresponds to a complete wave cycle.
Therefore, the phase difference between the two waves at a node is π radians (180 degrees), meaning that the two waves are completely out of phase with each other. This phase difference results in the destructive interference of the two waves, leading to a node in the standing wave pattern.
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Two carts are initially moving to the right on a low-friction track, with cart 1 behind cart 2. Cart 1 has a speed twice that of cart 2 and so moves up and rear-ends cart 2, which has twice the inertia of cart 1. Q1: Suppose that the the initial speed of cart 2 is vv. What is the speed of cart 1 right after the collision if the collision is elastic? Express your answer in terms of v.
If the impact is elastic, Cart 1's immediate post-contact speed is;
v₁ = ¹/₃u₁ oras one-third of the speed it had before the accident
As a result of the collision's elastic nature, we may state that;
u₁ + v₁ = u₂ + v₂ ---(eq 1)
Also, we can say that;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ ---(eq 2)
Let us make v₂ the subject in eq 1 and put in eq 2;
v₂ = u₁ - u₂ + v₁ ----(eq 3)
Thus;
m₁u₁ + m₂u₂ = m₁v₁ + m₂(u₁ - u₂ + v₁)
making v₁ the subject gives;
v₁ = [(m₁ - m₂)/(m₁ + m₂)]u₁ + [2m₂/(m₁ + m₂)]u₂
We are informed that Cart 1 is twice as fast as Cart 2. Thus;
u₂ = ¹/₂v₁ = ¹/₂u₁
The momentum of cart 2 is also double that of cart 1's.
Thus, m₂ = 2m₁
Plugging in the values gives;
v₁ = [(m₁ - 2m₁)/(m₁ + 2m₁)]u₁ + [2(2m₁)/(m₁ + 2m₁)]( ¹/₂u₁)
Simplifying this gives;
v₁ = -¹/₃u₁ + ²/₃u₁
v₁ = ¹/₃u₁
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you hear an astronomer on the evening news, pointing out a coming alignment of planets and predicting that the extra gravitational attraction is sure to trigger a huge earthquake in california during the few hours of alignment. based on what has been covered in this class, a reasonable approach is to:
It would be reasonable to approach the astronomer's prediction with skepticism and to seek out additional information and analysis from reputable sources in the scientific community.
What do you mean by a reasonable approach?Based on what has been covered in class, a reasonable approach would be to consider the current scientific understanding of the relationship between planetary alignments and earthquakes.
There is no established scientific evidence that shows a direct causal relationship between planetary alignments and earthquakes. The majority of the scientific community agrees that earthquakes are primarily caused by the release of built-up stress in the Earth's crust, which is influenced by factors such as tectonic plate movement and the presence of geological faults.
Therefore, it would be reasonable to approach the astronomer's prediction with skepticism and to seek out additional information and analysis from reputable sources in the scientific community. It is always important to approach claims and predictions with a critical and evidence-based mindset, especially when it comes to issues with the potential to affect public safety.
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a ball thrown straight up takes 6.30 seconds to go up and come back down to its starting point. neglecting air resistance, how high (in m) does it go?
If the ball goes to height of 48.620, it will take 6.30 seconds for a complete trip.
Neglecting air resistance we know that the total amount of time the ball goes up is equal to the time it takes to go down back to its starting point.
Total time for one round is 6.30 seconds.
Total time ball takes to reach the ground from the highest point is, 3.15 seconds.
The initial velocity is 0, as the ball will halt on the top for a moment.
Acceleration is g as it is falling freely.
Using Newton's second law of motion,
[tex]s = ut+\dfrac{1}{2}gt^2[/tex]
Substituting the values,
[tex]s = 0 + \dfrac{1}{2} \times 9.8 \times 3.15^2[/tex]
The distance is, 48.620 meters.
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imagine two students 10 m away from each other, each losing 0.01% of his electrons. find the repulsion force in kn (kilo-newtons).
The required repulsion force is 1.11 x 10^-14 kilo-newtons.
What is Coulomb's law?The repulsion force between two electrons can be calculated using Coulomb's law, which states that the force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. The formula for the force is given by:
F = k * (q1 * q2) / r^2
where F is the force in newtons, k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges in coulombs, and r is the distance between them in meters.
Since electrons have a negative charge, the force between them is repulsive. If each student loses 0.01% of their electrons, the force can be calculated as follows:
q1 = q2 = (0.01%) * (1.6 x 10^-19 C) = 1.6 x 10^-21 C
r = 10 m
Substituting these values into the formula gives:
F = k * (q1 * q2) / r^2 = 8.99 x 10^9 N m^2/C^2 * (1.6 x 10^-21 C)^2 / (10 m)^2 = 1.11 x 10^-11 N
Converting the force from newtons to kilo-newtons gives:
F (in kn) = F (in N) / 1000 N/kn = 1.11 x 10^-11 N / 1000 N/kn = 1.11 x 10^-14 kn
So, the repulsion force between the two students, each losing 0.01% of their electrons, is approximately 1.11 x 10^-14 kilo-newtons.
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two blocks are attached by a thin inextensible string over a frictionless, massless pulley. there is a frictional force between the block on the incline and the incline. the acceleration of gravity is 9.8 m/s 2 .calculate the magnitude of the frictional force acting on the block on the incline. answer in units of n. answer in units of n. 010
The magnitude of the frictional force acting on the block on the incline is m2 * 9.8 N
Given the following information:
Block 1 has mass m1
Block 2 has mass m2
Block 1 is on an incline with an angle theta concerning the horizontal
The frictional force acting on block 1 has magnitude of
The forces acting on block 1 can be analyzed as follows:
The gravitational force acting downwards: m1 * g (where g = 9.8 m/s^2)
The normal force acting upwards: N = m1 * g * cos(theta)
The frictional force acting up the incline: f
By Newton's second law, the net force acting on block 1 is equal to its mass times acceleration:
m1 * a = m1 * g * sin(theta) - f
Where a is the acceleration of block 1. Since the block is not moving, the acceleration must be zero:
0 = m1 * g * sin(theta) - f
Solving for the magnitude of the frictional force, we get:
f = m1 * g * sin(theta) = m1 * 9.8 m/s^2 * sin(theta)
The net force acting on block 2 is equal to its mass times acceleration, which must be equal and opposite to the net force acting on block 1 to balance the tension in the string:
m2 * g = f
So, the magnitude of the frictional force acting on the block on the incline is:
f = m2 * g = m2 * 9.8 m/s^2
Answer in units of N:
f = m2 * g = m2 * 9.8 m/s^2 * (1 N/1 kg * m/s^2) = m2 * 9.8 N
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In Pem Davidson Buck's Derailing Rebellion: Inventing White Privilege:
1. How was race constructed in the early days of colonization?
2. How was white privilege established?
In Domination and Subordination:
1. What does it mean to be in a double bind? Provide an example.
Answer:among
Explanation:r:among r:among r:among r:among r:among r:among r:among
a process requires heat addition at a constant rate of 100 kw for 60 seconds. in order to add an equivalent amount of heat in 20 seconds, what rate of heat transfer would be required?
The rate at which the heat transfer will be equivalent to the constant rate of 100KW for 60 seconds will be 300KW for a time of 20 seconds.
What is Power?Power is the amount of energy which is transferred or converted per unit of time. The SI unit of power is the watt (W) which is equal to one joule of work done per second of time.
There is an equivalent amount of heat transfer. Therefore, the heat transfer are equal:
100kW × 60 sec = 6000 KJ
P × 20 sec = 6000 KJ
P = 6000/ 20
P = 300 KW
Therefore, the rate of heat transfer which would be required will be 300 KW for a time period of 20 seconds.
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a projectile is fired in such a way that its horizontal range is equal to 12 times its maximum height. what is the angle of projection?
The angle of projection of the fired projectile is θ = sin⁻¹[tex]\frac{(g*R)}{(6*V_{0} ^{2} )}[/tex]/2
The horizontal range of a projectile is given by the equation:
R = V₀² * sin(2θ) / g
where R is the horizontal range, V₀ is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity (approximately 9.8 m/s²).
Given that the horizontal range is equal to 12 times the maximum height, we can use the following equation for the maximum height:
H = V₀² * sin²(θ) / 2g
So, we can substitute the expression for H into the equation for R to get:
R = 12 * V₀² * sin²(θ) / 2g
Now we can equate the two expressions for R and solve for θ:
R = V₀² * sin(2θ) / g = 12 * V₀² * sin²(θ) / 2g
2g * R = V₀² * sin(2θ) = 12 * V₀² * sin²(θ)
sin(2θ) = (2g * R) / (12 * V₀²)
2θ = sin⁻¹((2g * R) / (12 * V₀²))
θ = sin⁻¹[tex]\frac{(g*R)}{(6*V_{0} ^{2} )}[/tex]/2
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if some projectile lands at the same height at which it is fired ( ), how long is the projectile's flight?
The correct option is D, if some projectile lands at the same height at which it is fired t= 2*Vo*sin [tex]\theta\\[/tex]/g is the projectile's flight.
Here, yi=yi + vyt -0.5gt^2
Where, vy=v*sintheta
So, 0=(Vo*sin[tex]\theta\\[/tex])*t-0.5gt^2
Hence, time, t= 2*Vo*sin [tex]\theta\\[/tex]/g
A projectile is an object that is thrown, shot, or projected into the air and moves under the influence of gravity. It can be any object, including a ball, stone, bullet, or rocket, that is given an initial velocity and then continues to move freely under the influence of gravity.
Projectile motion is a type of two-dimensional motion, meaning that it can be described by the movement of the object in two perpendicular directions, typically referred to as the horizontal and vertical directions. In the absence of air resistance, the motion of a projectile is determined solely by the force of gravity acting upon it.
The trajectory of a projectile can be predicted using the equations of motion and can be visualized as a parabolic path. The maximum height reached by a projectile, its range, and the time it takes to reach the ground can be calculated using these equations.
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Complete Question: -
If some projectile lands at the same height at which it is fired (yo), how long is the projectile's flight?
A. t = 2v0 cos [tex]\theta[/tex] / g B. t= Vo sin [tex]\theta\\[/tex] / 9 C. x0 / V0cos[tex]\theta\\[/tex] D. t= 2V0 sin [tex]\theta\\[/tex]/g
To find the volume of the piece of wood, the student has a measuring cylinder, a supply of water and the brass object in (a). The piece of wood and the brass object are small enough to be placed in the measuring cylinder.
The piece of wood does not sink in water why?
The piece of wood does not sink in water because the density of wood is less than that of water.
What is density?The density of a substance indicates how dense it is in a given area. Mass per unit volume is the definition of a material's density. In essence, density is a measurement of how closely stuff is packed. It is a particular physical characteristic of a specific thing.
If the density of any material is less than any liquid, it does not sink. As the density of wood is less than that of water, the piece of wood does not sink in water.
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