The book will move in the right direction as the pushing force is greater than the frictional force.
What is the net force?The net force can be defined as the vector sum of all forces acting on an object. The net force is defined as a single force giving same the effect as the original forces on the object's motion.
The net force becomes the resultant force with the same effect on the rotational motion as all original forces took together by the object.
In the question, the pushing force will act in the opposite direction of the frictional force so we can find the net force by subtracting these two forces.
Given, the pushing force to push the box = 7N
The frictional force on the book, = 3 N
The net force on the book = 7N + (-3N) = 4N
Therefore, the net force act in the direction of the pushing force, therefore, the book will move in the right direction.
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Answer:The book will move to the right.
Explanation:
which is a way to exactly double the illuminance on an object? question 2 options: double the distance of the light source. quadruple the distance of the light source. double the luminous flux of the light source. cut the distance from the light source in half.
double the luminous flux of the light source is a way to exactly double the illuminance on an object.
The electromagnetic radiation that the human eye perceives as light, or visible light, is found in the region of the electromagnetic spectrum. Typically, visible light is characterized as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which are intermediate between the infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).
The term "light" can be used more generally in physics to refer to electromagnetic radiation of any wavelength, whether or not it is visible.
This makes gamma rays, X-rays, microwaves, and radio waves also constitute light. Intensity, the direction of propagation, frequency or wavelength spectrum, and polarization make up the fundamental characteristics of light. One of the basic constants of nature is its speed in a vacuum, 299 792 458 meters per second (m/s).
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In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table
shows the relationship between the acceleration and the acting force.
Acceleration (m/s²)
Force (N)
1.2
0.7
1.6
4.8
2.8
6.4
Which phrase best describes a graph that would represent the relationship shown in the table? (1 point)
an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
Answer: an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the X-axis
just took the test
an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the X-axis best describes a graph that would represent the relationship shown in the table
What are the features of graph ?A graph is represented as pictorial form the of data or numeric values in an organized manner which enables user to represent large amount of data in visual form.
There are 2 types of questions and the features of graphs are interpretation of given graphs or selecting a graph based on a verbal description.
The bar graphs are the most common type of graph, other graphs are dot plots, histograms, line graphs and scatterplots.
A Bar Graph is represented as the graphical display of data using rectangular bars of different parameters like heights, The structure can be represented in the y axis contains values, and the x axis contains categories or time periods.
A dot plot is a simple graphical representation which shows the frequency with which items appears in a data set and present data on the x axis.
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the systems shown are in equilibrium. if the spring scales are calibrated in newtons, what do they read?
Newton's first law states that an object at rest will remain at rest, and an object in motion won't change its velocity while the equilibrium condition is met.
When a system is in equilibrium then?When Newton's first law is true, the thing is in its equilibrium condition. When all external forces acting on an object (including moments) are balanced, that object is said to be in equilibrium in the reference coordinate system. This indicates that all external forces and moments acting on this item have a net effect of zero. When an object is at rest or moving with a constant speed in a reference coordinate system, respectively, they are said to be in static equilibrium and dynamic equilibrium.The inertial force produced by the velocity change can be measured by multiplying the mass with the translational acceleration or the mass moment of inertia with the angular acceleration.To Learn more About Newton's first law refer to :
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How does the kinetic theory explain the following? (a) A gas exerts a pressure on its container walls. (3marks)
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a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, when the angle of elevation is the angle is increasing at a rate of 0.4 radians per second. how fast is the stomp rocket rising at that moment?
Using the concepts of pressure, we find that 625m[tex]s^{-1}[/tex] is the speed of the stomp rocket rising at that moment when it is watched by students 500 meters away. after 2 seconds, when the angle of elevation is the angle is increasing at a rate of 0.4 radians per second.
We know that when an object is very far away, at the centre of that object there is an angle enclosed by the observer and that is given
angle=(length of arc)/radius of the arc.
θ=l/r
So, we are given that length of arc is 500 metres and angle is 0.4 radians/sec.
So,=>0.4=500/r
=>r=500/0.4
=>r=1250m
Now we are given the time when it is observed i.e. is 2 seconds.
So, we apply distance speed formula.,
which is Distance=Speed × Time
=>1250=Speed×2
=>Speed=1250/2
=>Speed =625m[tex]s^{-1}[/tex].
Hence, when a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, and the angle of elevation is the angle is increasing at a rate of 0.4 radians per second, the speed of stomp rocket is 625m[tex]s^{-1}[/tex].
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a parallel-plate capacitor with a dielectric inserted is connected to a battery and allowed to fully charge. a second identical capacitor but with a dielectric of only half the dielectric constant as the previous is connected to an identical battery and allowed to fully charge. how do the two capacitors compare in terms of capacitance, electric potential, charge stored, and energy stored? justify with reasoning.
The capacitance and electric potential of the two capacitors are identical.
The charge stored and energy stored are also identical, as are the two capacitors' dielectrics.
The reason for this is that both capacitors have the same area, which is equal to the product of their radii multiplied by the distance between them. The two capacitors also have the same charge per unit area. So when you divide one by the other, you get a ratio of 1:1. This means that regardless of which capacitor you choose, it will store an equal amount of energy.
Additionally, if you choose to measure your capacitance by dividing your electric potential by your charge per unit area, then again, both capacitors will have identical values for this metric as well.
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a sled of mass 2.49 kg has an initial speed of 4.53 m/s across a horizontal surface. the coefficient of kinetic friction between the sled and surface is 0.168. what is the speed of the sled after it has traveled a distance of 3.58 m?
The speed of the sled after it has travelled a distance 3.58 meter is 2.96m/s.
Mass of sled = 2.49kg
Initial speed across the horizontal surface = 4.53m/s
Coefficient of kinetic friction between the slate and surface = 0.168
Distance = 3.58m
Now to calculate the acceleration of sled we use :
F = ma
a = F/m
where
a = acceleration
m = mass
F = frictional force
a = μmg / m
a = μg
a = 0.168 x 9.8
a = 1.64m/s²
To calculate the speed of sled we use:
v² = u² - 2as
v² = (4.53)² - 2x 1.64 x 3.58
v² = 8.7785
v = 2.96m/s
The speed of the sled after it has travelled a distance 3.58 meter is 2.96m/s.
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a rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. how many seconds later does the rock hit the ground?
A rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. It will take 0.15 seconds to hit the rock ground
height = displacement = 1.20 m
initial speed = u = 7.54 m/s
final speed = v = 0
time = ?
Using kinematic equation
s = u*t + 1/2 * g * [tex]t^{2}[/tex]
1.20 = 7.54 t + 1/2 * 9.8 * [tex]t^{2}[/tex]
= 4.9 [tex]t^{2}[/tex] + 7.54 t - 1.20
t = 0.15 seconds
It will take 0.15 seconds to hit the rock ground
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true or false? - A ball is moving upwards and to the left. A net force that points upwards and to the left must be acting on the ball.
Answer:
false is the answer . in my point of view
how do astronomers see astrophysical black holes if no light can escape from the event horizon of the black hole?
The event horizon of a black hole, the region beyond which there is no return, is the zone from which no light of any sort, including X-rays, can escape. Black hole research telescopes operated by NASA.
Are examining the black holes' surroundings, which contain material that is quite near the event horizon. A black hole is an area of spacetime where gravity is so intense that nothing can escape from it, not even electromagnetic radiation like horizon. A sufficiently compact mass can distort spacetime to generate a black hole, according to general relativity theory.
A black hole is a compact, dense object whose gravitational attraction is so powerful that nothing can escape from it up close, not even light.
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an object undergoing simple harmonic motion takes 0.12 s to travel from one point of zero velocity to the next such point. the distance traveled between those points by the object is 41.6 cm. calculate the period.
The period of the object undergoing simple harmonic motion is
simple harmonic motion sometime shortened as SHM may be a sort of periodic movement where the restoring drive on the moving object is straightforwardly relative to the magnitude of the displacement of the object and acts towards the object's equilibrium position. It comes about in an oscillation that proceeds inconclusively, on the off chance that uninhibited by friction or any other dissemination of energy.
we are given the time taken to complete the distance covered between two zero velocity points apart from the distance of 41.6 cm which is 0.12 so the period will be = 2T = 2 * 0.12 = 0.24 s
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a 3 kg sphere moving at 30 m/s makes a perfectly inelastic collision with a second sphere of 6 kg that is at rest. (a) what is the velocity of the spheres after the collision? (b) how much kinetic energy is lost in the collision?
The energy an object has as a result of motion is known as kinetic energy.A force must be applied to an object in order to accelerate
How much kinetic energy is lost in the collision?Given,
m1 = 3 kg
Mass, = 3kg
Speed, = 30 m/s
u2= 0
= 1 kg
Speed after collision = 6 m/s
Kinetic energy lost, K×E = ?
During collision, momentum is conserved.
Before collision, the kinetic energy is
KE =1/2(3)*(3)*(30)+1/2*1*(0)²
KE=1/2*4*25+0
By plugging in the values we get,
K×E = 50 J
Therefore, kinetic energy before collision is 50 J
Kinetic energy after collision:
KE =1/2(4+1)+KE
KE = 40J+KE
Since,
Initial Kinetic energy = Final kinetic energy
50J=40J+K*E
50 J = 40 J + K×E(lost)
K×E(lost) = 50 J - 40 J
K×E(lost) = 10 J
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suppose a car travels at a constant 10 m/s. how far would it move in 1 hour? in 1 minute? in 1 second? in 1 millisecond? in 1 microsecond? in 1 nanosecond?
Suppose a car travels at a constant 10 m/s.
using d = vt
v = 10m/s.
t d
1 hr= 3600s 3.6x [tex]10^{4}[/tex]m
1 min = 60s 6.0x [tex]10^{2}[/tex]m
1s 10m
1ms = [tex]10^{-3}[/tex] s 10 x[tex]10^{-3}[/tex]m = 10mm
1μs = [tex]10^{-6}[/tex]s 10x [tex]10^{-6}[/tex]m = 10μm
1ns = [tex]10^{-9}[/tex]s 10x [tex]10^{-9}[/tex]m = 10 nm
What is constant?something immutable or unchangeable: eg; a number having a definite value in a particular situation or universally, or a characteristic of some substance or instrument. : a number that is expected not to change value in a given mathematical discussion a term with fixed notation in logic.
A constant can be defined as a fixed value used in algebraic expressions and equations. A constant does not change over time and has a fixed value. For example, the size of a shoe, fabric or any accessory does not change at any time.
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What is the phase angle between the voltages of the inductor and capacitor in a rlc series circuit?.
The phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.
RLC circuit contains resistor , capacitor and inductor. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.
Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an LCR circuit.
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3 points
A net force of 9,079 N is applied to a car having a mass of 1,447 kg. Find the acceleration of the car.
Type your answer...
Previous
Answer:
a = 6.27 m/s² - acceleration
Explanation:
Given:
F = 9 079 N
m = 1 447 kg
_________
a - ?
Acceleration:
a = F / m
a = 9 079 / 1 447 ≈ 6.27 m/s²
A championship weight lifter did 11,000 J of work on a set of barbells weighing 3680 N. How much gravitational potential energy did the barbells have at the maximum height of the lift? (show the steps you followed to solve the problem - ie. the formula, calculations, and final answer)
The GPE that the barbells have at max height is ,
3680.h j=11,000 units
where h= maximum height the barbells were lifted
work done by the championship lifter ,W = 11,000 units
weight of the barbells, N = 3680 N
The gravitational potential energy, P.E., the barbells had at their maximum height of lift is given as follows;
P.E. = m × g × h
Where;
m = The mass of the barbells;
g = The acceleration due to gravity = 9.8 m/s^2
h = The maximum height to which the barbells are lifted
m × g = The weight of the barbells = 3680 N
∴ P.E. = 3680 N × h = 3680·h J
we know the law of conservation of energy, according to this the work done by the weight lifter is equals to the maximum gravitational potential energy gained by the barbell is equal to energy at maximium height i.e P.E
therefore, GPE = 3680.h j = W = 11,000j is your answer.
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https://brainly.com/question/20561066two cars in opposite directions were going at 50 mph before a collision. they had a head on inelastic collision, i.e., the two cars stuck together afterward. the mass of car 1 is 1,000 kg, and car 2 is 4,000 kg. find the common speed in mph of the combined piece right after the collision. what direction did the cars move afterward?
The common speed in mph of the combined piece right after the collision was 30 mph. The cars move towards the lighter car.
An inelastic collision is a collision in which there is no internet loss in kinetic energy within the gadget because of the collision. each momentum and kinetic electricity are conserved portions in elastic collisions.
Calculation:-
50 mph = (50 × 0.477)
= 22.35
Applying the law of conservation of momentum.
we get the:-
m₁u₁ + m₂u₂ = (m₁ + m₂)V
V = m₁u₁ + m₂u₂/(m₁ + m₂)
= 4000 × 22.35 + 1000 × (-22.35) / 4000 +1000
V = 13.41 m/s
= 13.41/0.447
= 30 mph
Hence, the common speed of the car is 30mpH.
An inelastic collision is a come between two bodies in which the full kinetic energy of the two bodies remains equal. In an ideal, perfectly elastic collision, there may be no internet conversion of kinetic strength into other kinds which includes heat, noise, or capacity electricity.
Elastic collisions arise whilst both the momentum and kinetic energy are conserved, just like how billiard balls bounce off each different and move at the same speeds as earlier. Inelastic collisions appear whilst simplest the momentum is conserved but not the kinetic power.
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a ray of green light travels through air and is refracted as it enters a glass prism shown in the figure. an unknown liquid is in contact with the right side of the prism. the light then follows the path shown. which one of the following statements concerning this situation is true? a) the frequency of the light changes inside the prism. b) the index of refraction of the glass is smaller than that of air. c) the index of refraction of the unknown liquid is the same as that of the glass. d) the speed of light is larger in the liquid than in the glass. e) the refractive index of the liquid is the same as that of air.
Option C, Since there is no refraction and light travels in almost the same direction in both the glass as well as the unknown liquid, their indexes of refraction are identical.
Moving from the atmosphere to the glass causes the light to slow down. A prism's angle is 60 degrees, and its green light refractive index is 1.5.
The many media, or matter particles, through which light passes were used to gauge both its speed and how it appears to the human eye. To discern the different light wavelengths, the speed should slow down when the white light is revealed via the prism.
The following formula is used to get the refractive index:
n₁ sinθ₁ = n₂sinθ₂
where n₁ and n₂ represent the observed difference and represent the diffraction pattern between two liquids.
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the energy of a photon is 6.78 x 10-19 j. what is the wavelength of the radiation? 3.41 x 106 m incorrect response 3.26 x 10-24 m correct answer 2.93 x 10-7 m 3.41 x 10-3 m
The wavelength of the radiation is 2.93×10⁻⁷ m
Given,
The energy of photon E=6.78×10⁻¹⁹
now, E=hc/λ
λ=hc/E
=6.626×10⁻³⁴×3×10⁸/6.78×10⁻¹⁹
=2.93×10⁻⁷ m
Radiation is the emission or transmission of energy through a material medium or across space in the form of waves or particles.
According to the energy of the radiated particles, radiation is frequently classified as either ionizing or non-ionizing. Ionizing radiation has an energy level of more than 10 eV, which is sufficient to ionize atoms and molecules as well as rupture chemical bonds. Due to the significant difference in how destructive it is to living things, this is a crucial distinction. Ionizing radiation is frequently produced by radioactive substances that release radiation in the form of helium nuclei, electrons or positrons, or photons, respectively.
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If you have a Corvette with a mass of 1,054 kg and a velocity of 48m/s, find the kinetic energy in J.
Kinetic energy of Corvette with a mass of 1,054 kg and a velocity of 48m/s is 12,14,208 J
What is kinetic energy?Kinetic energy is a type of power that an item or particle possesses as a result of motion. An object accelerates and acquires kinetic energy when it undertakes work—the transfer of energy—by being subjected to a net force. Kinetic energy is one of the properties of a moving object or particle, which depends on both mass and speed. The type of motion can be any combination of vibration, rotation on an axis, and translation (or transit along a path from one spot to another).
A body's translational kinetic energy is equal to 1/2mv2, or one-half of the product of its mass, m, and square of its velocity, v.
Here,
m = 1,054 kg
v = 48 m/s
KE = ?
KE = 1/2 mv²
KE = [tex]\frac{1}{2}[/tex] × 1054 × 48²
KE = 0.5 × 1054 × 2304
KE = 12,14,208 J
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facts about the immune system
The immune system is a complex network of organs, cells, and proteins that protect the body's own cells while defending it against infection.
The immune system keeps a record of every germ (microbe) it has ever defeated in order to quickly recognize and destroy the microbe if it re-enters the body.
The immune system, unlike the heart or the brain, does not have a centralized location in the body. Instead, immune system cells are produced in organs throughout the body, including the tonsils, lymph nodes, spleen, bone marrow, and adenoids.
Our immune system also weakens with age, as immune system tissues shrink and our white blood cell count and activity decrease.
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AP physics 1: Extra points!!
The weight of box 2 and box 3 is 33.72N and 15.32N
According to Lami's Theorem, if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. The magnitudes of concurrent, coplanar, and non-collinear forces that keep an object in static equilibrium are all related to Lami's Theorem. This theorem also aids in the analysis of most mechanical and structural systems. For all three forces used in Lami's Theorem, the proportionality constant is the same.
Given box1 weighs 31N
Given two angles 63 and 24
So the third angle will be
180 – 87
= 93
By using Lamis theorem
T_2/(SIN 93)=T_3/(SIN (90+63))=T_1/(SIN (90+24))
Here T1 = 31N
Weight of box 2 = w2 = 31/cos24 x sin 93
= 33.72
Weight of box 3 = w3 = 31/cos24 x cos 63
= 15.32
Therefore the weight of box 2 and box 3 is 33.72N and 15.32N
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Physical science please help me I really need help I’m begging
suppose i produce radio waves with an antenna that have a peak electric field amplitude e and peak magnetic field amplitude b. if i were to double the amplitude of the electric field (i.e. double e) what is the new value for b?
The formula for the relationship between the electric and magnetic fields is:
E = cB
As the amplitude of the electric field is precisely proportional to the magnetic field, the magnetic field will also double in size when the amplitude of the electric field doubles.
Radio waves typically operate at frequencies between 300 gigahertz and below, where the longest wavelengths of the electromagnetic spectrum are found. At 300 GHz, the corresponding wavelength is 1 mm; nevertheless, at 30 Hz, it is 10,000 kilometers.
A magnetic field, a vector field that affects an electric charge, an electric current, and magnetic materials magnetically. In a magnetic field, a moving charge experiences an external force that is perpendicular to the magnetic field and has its own velocity.
The maximum electric and magnetic field strength is known as the amplitude in electromagnetic waves. The wave amplitude determines the energy of the wave. Similar to how waves themselves move, the energy density also follows the electric and magnetic fields.
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ima rilla saari rushes to her car in order to hurry home and get dressed for work. failing to realize the dangers of driving under slick and icy conditions, she collides her 940-kg mazda miata into the rear of a 2460-kg pick-up truck which was at rest at the light on lake avenue. ima's pre-collision speed was 12.5 m/s. determine the post-collision speed of the two entangled cars as they slide across the ice.
The two intertwined autos are sliding on the ice at a 3.46 m/s post-collision speed.
What is conservation of momentum?The principle of momentum conservation argues that within a given problem domain, momentum is never created nor destroyed but only modified by the action of forces as they are represented by Newton's laws of motion.
According to the rule of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
The speed of the Mazda before the accident multiplied by the mass of the Mazda must match the speed after the collision multiplied by the mass of both cars, according to the property of conservation of momentum:
m1v1 = m1 + m2 *v2
940*12.5 = 940 +2460 *v2
v2 = 3.46 m/s
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if more massive stars have more hydrogen in their cores than less massive stars, why do they have shorter lifetimes?
Thermonuclear fusion occurs faster in massive stars so larger stars use up all their fuel in less time.
The more mass a star has the faster it will exhaust its fuel supply and the shorter its lifespan. The most massive stars could burn up and explode in a supernova after just a few million years of nuclear fusion. Massive stars are the largest, hottest, and brightest main-sequence stars and are blue, blue-white, or white in color.
Massive stars run out of hydrogen fuel very quickly and therefore have short lives. This is because the more massive the star the greater the fuel consumption. Even if a high-mass star has more fuel it uses it up very quickly so it does not live as long as a low-mass star. A main-sequence star's mass determines the fundamental properties of its luminosity surface temperature radius and lifetime.
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what are two of the three scales discussed in the text that we can use to measure the power/magnitude of an earthquake?
It is accurate to say that the Mercalli, Richter, and magnitude scales are the three main scales used to measure earthquakes. These three scales were used to gauge the earthquake's seismic waves.
The Mercalli intensity scale rates the power of an earthquake. The largest shock of energy from an earthquake is measured on the Richter scale. The preferred method for calculating earthquake magnitudes is the moment magnitude scale.The moment magnitude scale, which measures magnitude (M), or size, and the Modified Mercalli scale, which measures intensity, are the two scales that are most frequently used in the United States today.Seismometer data can be used to estimate an earthquake's timing, position, and magnitude. Seismometers capture the earth's internal vibrations caused by earthquakes. Every seismometer captures the earth movement right beneath it.To know more about Richter
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a cylinder and a hoop have the same mass and radius. they are released at the same time and roll down a ramp without slipping. 1)which one reaches the bottom first?
The cylinder will reach the bottom first.
How to Calculating the acceleration?In this case, the body acceleration should be applied to the incline.
Therefore, the equation listed below should be utilized.
gsin / (1 + k2 / r2) = a
Here
K is the gyrating radius.
r is the radius, and
Now
in hoop
k = r
gsin / (1 + r2 / r2) equals a.
= g / 2 x sinθ
0.5 gsinθ
as cylinder
k² = r² /2
A is equal to gsin / (1 + r2 /2 r2).
= 2 / 3 g sinθ
= .67 g sinθ
We can observe that the cylinder is more responsible for the acceleration.
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Find the direction of the sum of
these two vectors:
B 3.14 m 2.71 m 30.0°
-60.0°A direction (deg)
The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.
Both the vectors are making angle in a way that it will add up to 90° , hence a right angles triangle will be formed .
using Pythagoras theorem
[tex]H^{2} = P^{2} + B^{2}[/tex]
sum of vector = [tex]H^{2} = P^{2} + B^{2}[/tex]
H = [tex]\sqrt{P^{2} + B^{2} }[/tex]
= [tex]\sqrt{3.14^{2} + 2.71^{2} }[/tex]
= 4.15 m
let theta is the angle along the base vector 2
tan (theta ) = P/B = 3.14 / 2.71 = 1.16 °
theta = [tex]tan^{-1}[/tex] ( 1.16 )
≈ 50°
hence , The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.
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an air-filled parallel-plate capacitor has a capacitance of 1.5 pf. the separation of the plates is doubled and wax is inserted between them. the new capacitance is 3.0 pf. find the dielectric constant of the wax.
The dielectric constant of the wax is 2.
The dielectric constant of wax is the ratio of the capacitance of a capacitor that has wax between its plates to its capacitance when there is no wax between its plates.
This can be calculated by first finding the total capacitance of the capacitor with wax in between it:
C = 2 * pf * (0.5cm)^2
= 1.5 pf
Then, we can calculate the change in capacitance:
C' = C - C
= 2 pf * (0.5cm)^2 - 1.5 pf
= 0.5 pf
Finally, we divide 1/0.5 to find C'/C = 2, so we conclude that the dielectric constant for wax is 2, or twice as large as air's dielectric constant of 1!
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