When 13.7-N force is being applied to the block parallel to the surface it will remain at rest, and the force of friction will be about 13.7 N. Hence option B is correct.
How do you determine the frictional force?The resistive force of friction (Fr), which pushes the items together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula represents it: fr = Fr/N.
What does physics mean by a frictional force?Force which prevents one solid object from rolling or slipping over another. Although frictional forces can be advantageous, such as the traction required to walk without slipping, they also provide a significant amount of resistance to motion.
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What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.
Answer: 66.02dB
Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])
[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]
Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB
Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow .
(a) At t = 0, the current through the resistor is 0 A.
(b) At t = 2.17×10-2 s, the current through the resistor is -2.2 A. The negative sign indicates that the current is flowing in the opposite direction to the arrow
(c) At t = 3.00 s, the current through the resistor is 0 A.
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow.At t = 3.00 s, the current through the resistor is 0 A.
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How much heat is given off when 210.0 g of water at 0°C freezes into ice?
Answer:
it gives off 71.0 kJ of heat.
Explanation:
A naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120
kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.
and returns to hit the ship's sensor 3 seconds later?
Answer should be in meters
With the use of wave speed and echo formula, the distance is 540 m
What is Echo ?Echo can simply be defined as a reflection of sound wave. Where as, Sound wave is longitudinal wave.
Given that a naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120 kHz and a wavelength of 3 mm.
The wave speed V = Fλ
Where
V = ?F = 120 KHz = 120,000λ = 3 mm = 0.003 mV = 120000 × 0.003
V = 360 m/s
How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m. and returns to hit the ship's sensor 3 seconds later?
Speed V = 2S/t
where
S = distance ?t = time taken = 3 s360 = (2 × S)/3
360 × 3 = 2S
S = 1080/2
S = 540 m
Therefore, the cargo is 540 m away
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How does dynamic stretching help an individual prepare for an activity brainly?
Dynamic stretching helps to prepare the body for an activity by increasing:
body temperatureimproving range of motionactivating the muscles and nervous system for the activity. also helps to reduce the risk of injury by improving the body's ability to move through a full range of motion.improving coordination and balance.What is dynamic stretching?Dynamic stretching is a form of stretching that involves active, controlled movements such as swinging, bouncing, and twisting. The goal of dynamic stretching is to improve range of motion and flexibility while preparing the body for physical activity.
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If an amount of heat Q is needed to increase the temperature of a solid metal sphere of
diameter D from 4°C to 7°C, the amount of heat needed to increase the temperature of a solid
sphere of diameter 2D of the same metal from 4°C to 7°C is
A. 8Q
B. 40
C. 20
D. Q
As a result, X heat required = 27Q is the amount of heat needed to raise the temperature.
Calculationfirst case
Q = Specific Heat * Density of Sphere* (4/3*pi*D^3) * (7-4) -1
Second case
X = Specific Heat * Density of Sphere* (4/3*pi*(3D)^3) * (7-4) -2
Dividing 1 and 2 we get
Q/X = 1/27
27
How does the heat equation's Q work?where Q is the amount of heat that is transported to or from the item, m is the object's mass, C is the material's specific heat capacity, and T is the resultant temperature change of the object.
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The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of __________.
The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of thousands of kilometers.
Which of the aforementioned tide-related claims is true?Complete Response.The tides are caused by the sun and moon's tremendous gravitational pulls on the surface of the planet, which is the right answer.
Which of the following is untrue regarding tides' fundamentals?Response and Justification:Tides are not primarily caused by the gravitational influence of the sun, as is commonly believed.In reality, the Moon's gravitational pull is what mostly causes tides.
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A block of mass 0.10 kg is attached to one end of a spring with spring constant 50n*m. The other end of the spring is secured to a wall. The block is pushed against the spring, which compresses the spring to a position of x=-0.04m. When uncompressed, the end of the spring that is attached to the block is at a position of x=0.00m. The block-spring system is then released from rest, and the block travels along a horizontal, rough track. A motion sensor is placed so that it measures the velocity of the object as it slides along the track. A graph of total mechanical energy of the block-spring system as a function of position is shown. Which of the following statements about the block-spring system are true? Select two answers.
The force exerted on the block by the spring at x=−0.02 m is 1 N.
The block has maximum speed at x=0.00 m.
The block has half the initial spring potential energy at x=−0.025 m.
The work done by friction as the block travels from x=-0.04 m to x=-0.02 m is 0.01 J
Based on the graph;
The work done by friction as the block travels from x =-0.04 to x = −0.02 m is 0.01 J.
The force exerted on the block by the spring at x = −0.02 m is 1 N.
What is a spring constant?The stiffness of a spring is indicated by the spring constant, k. For various springs and materials, it varies. The stiffer the spring is and the harder it is to stretch, the larger the spring constant. The spring constant is a measure of the spring's stiffness.
The force exerted by a spring of spring constant, k is given below as follows:
F = - kx.
where;
F is the forcek is called the spring constant. x is the change in length from its equilibrium length, the negative sign indicates that the spring exerts a force F in a direction toward its equilibrium position.Learn more about spring constant at: https://brainly.com/question/23885190
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A stone is thrown vertically upward with an initial speed of 18.1 m/s. Neglect air resistance. The speed of the stone when it is 8.26 m higher is:
The velocity of the object when it first reaches a height of 8.10 meters is 18.05 m/s.
Calculation-To find the speed of the stone when it is 8.26 m higher, we can use the equation for vertical motion under constant acceleration. The equation is:
v^2 = u^2 + 2as
Where:
v = final velocity (m/s)
u = initial velocity (m/s)
a = acceleration due to gravity (9.8 m/s^2, downward)
s = distance traveled (m)
In this case, the initial velocity is 18.1 m/s, the distance traveled is 8.26 m upward, and the acceleration due to gravity is 9.8 m/s^2 downward. We can substitute these values into the equation and solve for the final velocity.
v^2 = 18.1^2 + 2 * 9.8 * 8.26
v^2 = 327.61
v = sqrt(327.61)
v = 18.05 m/s
Why ignore air resistance while calculating projectile motion?Air resistance is the term for the frictional force that slows an object's velocity as it moves through the air. Although air resistance considerably affects trajectory motion, it is not taken into account in beginning physics due to the complexity of the calculations.
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Which of these situations describe the motion shown in the motion diagram at point a?
consider the following situations:
a car is moving along a straight road at a constant speed.
a car is moving along a straight road while slowing down.
a car is moving along a straight road while speeding up.
a hockey puck slides along a horizontal icy (frictionless) surface.
a hockey puck slides along a rough concrete surface.
a cockroach is speeding up from rest.
a rock is thrown horizontally; air resistance is negligible.
a rock is thrown horizontally; air resistance is substantial.
a rock is dropped vertically; air resistance is negligible.
a rock is dropped vertically; air resistance is substantial.
The right response is a hockey puck slides along a horizontal icy frictionless surface and as a car is going along a straight road at a constant pace, according to the motion diagram.
The car is shown in the diagram starting at point a. The arrows remain pointing in the same way. This indicates that the thing is travelling directly forward. The arrows stay stationary at A. This indicates that the thing is travelling continuously.
The speed of the puck is not impacted by friction while it is moving on an ice rink surface. So, it is reasonable to suppose that it is moving at a constant speed before to impact.
The work done is zero only if there is no non-conservative force, such as friction, because the kinetic energy does not vary and the car is going along a straight, horizontal road. The work done will be force into displacement if there is friction.
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What type of energy is a ball rolling down a ramp?
Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp along with many forces such as rolling tangential force and gravitational force.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form. also by this we tend to know that the Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp.
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If the human body has an average density of 981 kg/m3 , what fraction of a person is submerged when floating gently in fresh water
The fraction of the person submerged in fresh water is about 98.1%.
Given data as per the question:
Average density of the human body= 981 kg/ m³.
The Law of floatation can be defined as the volume of the liquid displaced when a body floats on the liquid surface is equal to the body submerged in the water.
As body has the stable equilibrium state, the buoyancy of the fluid will be equal to the weight.
Weight of the body floating = Weight of the body immersed in fluid
Law of floatation = Density of the floating object / density of fluid
As fluid is the freshwater here, the density of fluid will be 1000 kg/ m³.
= (981 kg/ m³) / ( 1000 kg/ m³)
= 98.1 %
A person is submerged when floating gently in fresh water about 98.1%.
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Which statement best describes how science is an engineers work together in the research and development cycle
Answer: Which statement best describes how scientists and engineers work together in the research and development cycle? Scientists develop new technology, and then engineers use it to solve design problems.
Explanation: boom!
a box of chocolate bars weighs 180N. Its base has an area of 0.09m2. what pressure does it exert on the ground
Answer:
2000
Explanation:
180/0.09
=2000
pressure=force/area
How does mass affect the heat that can be absorbed by a substance?
The mass of the material has no influence on specific heat because it is already a quantity represented per unit mass.
Casey Hudson, Drew Karpyshyn, and Preston Watamaniuk created the military science fiction media franchise Mass Effect. The franchise shows a distant future in which humans and many alien civilizations have conquered the known universe utilizing advanced predecessor civilizations' technologies.
The franchise began with a series of video games created by BioWare and released by Electronic Arts. Each iteration combines third-person shooting gameplay with role-playing features. The first three games comprise a trilogy in which the player character, Commander Shepard, strives to defend the Milky Way galaxy from the Reapers, a species of ancient, sleeping robots.
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1. An interstellar spacecraft, far from the influence of any stars or planets, is moving at high speed under the influence of fusion rockets when the engines malfunction and stop. The spacecraft will (A) immediately stop, throwing all of the occupants to the front of the craft. (B) begin slowing down, eventually coming to a rest in the cold emptiness of space. (C) keep moving at constant speed for a while, but then begin to slow down. (D) keep moving forever at the same speed.
Using Newton's 1st law of motion. In the absence of external force, the isolated object maintains its condition of uniform motion. Thus, the spaceship keeps its constant speed throughout all of time. Option D is correct.
Newton's First Law: InertiaAccording to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or even in uniform motion along a straight line. Inertia is the propensity to maintain balance in a condition of motion.
What does it mean to be inert?The word "inertia" is derived from the Latin word iners, which meaning idle or sluggish. Inertia is the name for any physical object's opposition to a velocity change. Changes in the item's motion's direction or speed fall under this category.
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A 64.5 kg astronaut is on a space walk when the tether line to the shuttle breaks. The astronaut is able to throw a 12.0 kg oxygen tank in a direction away from the shuttle with a speed of 14.9 m/s, propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest, find the final speed of the astronaut after throwing the tank.
The final speed of the astronaut after throwing the oxygen tank can be calculated using the conservation of momentum principle.
This principle states that the total momentum of an isolated system remains constant if no external forces act on the system.The momentum of the oxygen tank is given by the equation.
p_t = m_t*vThe conservation of momentum principle states that the initial momentum of the system is equal to the final momentum of the system.
p_i = p_f
The final momentum of the system is the momentum of the astronaut-tank system after the astronaut throws the tank.
p_f = (m_a + m_t)v_f = (64.5 + 12) * v_f = 76.5 * v_f
So the final momentum of the system is equal to the momentum of the oxygen tank.
p_t = m_tv = 1214.9 = 178.8We can set the two equations equal to each other and solve for v_f
178.8 = 76.5 * v_f
v_f = 178.8 / 76.5
v_f = 2.33 m/s
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For the circuit shown in the figure, what is the current through resistor R1? A) 0.071 A
B) 0.13 A
C) 0.029 A
D) 0.016 A
For the circuit shown in the figure, 0.071 A is the current through resistor R1.
What is circuit ?
Circuit is an electrical network consisting of interconnected components that allow electricity to flow through it. It is used to control, regulate, and direct the flow of electricity in order to perform a specific task. A circuit is composed of wires, resistors, transistors, capacitors, and other components which are connected together in order to form a complete system. This system can be used to control a variety of electrical devices, such as lights, motors, and computers. Circuits can be used to create a wide range of applications, from simple household appliances to complex industrial machines.
The current through R1 can be calculated using Ohm's Law:
I = V/R = (9V)/(120Ω) = 0.075 A
Therefore, the answer is A) 0.071 A.
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How much work is needed to overcome friction in a machine
depends on the machine's [blank]
The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.
What proportion of the work a user inputs into a machine is actually completed by the machine?Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.
Do all devices eliminate friction?The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.
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An archer shoots an arrow at a target. The arrow begins at the same height as the target. Which statement describes how the archer should aim the arrow
In order to hit the target, the archer should aim the arrow so that it follows a parabolic trajectory.
The archer should aim the arrow slightly higher than the target, so that the arrow will arc downward and reach the target. Additionally, the archer should take into account other factors such as wind speed and direction, as these can affect the trajectory of the arrow.
The parabolic trajectory is a curve created when an object is thrown or shot in the air at an angle, then follows the path of a parabola. The parabolic trajectory allows for the object to travel in an arc and reach a certain distance, such as a target.
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In the sketch to the right, a long straight wire is in the plane of a rectangular conducting wire loop. The current in the straight wire is up. At some point the current in the straight wire starts to increase in magnitude. This increased current leads to an induced current in the wire loop. In which direction will the induced current in the wire loop be? Explain how you reached this conclusion. How would your answer be different if the wire loop was on the left side of the wire instead of the right side?
The direction of the induced current in the wire loop is anti-clockwise.
The direction of the induced current if the wire loop was on the left side of the wire is clockwise.
Lenz's law and the direction of the induced current are the key concepts needed to address this issue.
To determine the direction of the induced current under various circumstances, use Lenz's law.
The induced emf of the coil is proportional to the negative of the rate of change of magnetic flux, according to Faraday's law.
The following expression represents the typical emf that is generated in the coil during the course of the time period: [tex]$$\varepsilon=-\frac{\Delta \Phi}{\Delta t}$$[/tex]
Here, [tex]$\varepsilon$[/tex] is the average emf that is induced in the coil during the time interval and [tex]$\Delta \Phi / \Delta t$[/tex] is the rate of change of magnetic flux.
A magnetic field is induced in the rectangular loop as a result of the current in the wire. The plane is the intended target of this magnetic field.
As the current in the wire grows, the magnetic flux in the rectangular coil rises.
An emf and current are induced by Faraday's law.
Following is noted from Lenz's law:
The inwards growing flux is opposed by the generated current. Therefore, the induced current must flow counterclockwise in order to meet this.
When the rectangular loop is kept to the left of the wire, the magnetic flux will be directed outward.
If the wire loop was on the left side of the wire, the induced current would flow clockwise.
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According to the law of reflection, what is the relationship between the angle of incidence and the angle of reflection
The law of reflection, The relationship between the angle of incidence and the angle of reflection is that they are equal.
The angle of incidence is the angle between the incoming light ray and the normal line (a line perpendicular to the surface of the reflecting material), and the angle of reflection is the angle between the reflected light ray and the normal line. When a light ray strikes a reflection surface at a certain angle, it will be reflected back at the same angle. This relationship is represented by the equation.
=> angle of incidence = angle of reflection
This relationship holds true for all types of electromagnetic waves and for all surfaces that are reflective, whether they are smooth or rough, opaque or transparent. It's important to note that this is true for regular reflection, which is defined as the reflection of light off a smooth surface. If the surface is rough, the light rays are reflected in many different directions, this is called diffuse reflection.
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A car travels at a constant speed around a circular track whose radius is 3.0 km. The car goes once around the track in 320 s. What is the magnitude of the centripetal acceleration of the car
The magnitude of the centripetal acceleration of the car is 0.0034 km/sec².
What is centripetal acceleration?Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is responsible for the change in direction of the object's velocity.
The magnitude of the centripetal acceleration of an object moving in a circle is given by the formula:
a = v² / r
where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circle.
Given that the car goes once around the track in 320 s, we can calculate its velocity by using the formula:
v = d / t
where d is the distance traveled and t is the time.
d = 2pir = 2pi3.0 km = 18.849 km
t = 320 sec
so the velocity of the car is v = 18.849 km / 320 sec = 0.059 km/sec.
We can now use the formula to find the centripetal acceleration of the car
a = v² / r = (0.059 km/sec)²/ 3.0 km = 0.0034 km/sec²
Hence, the magnitude of the centripetal acceleration of the car is 0.0034 km/sec².
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4. A 55.0 g object connected to a spring with a force constant of 35.0 N/m oscillates on a horizontal, frictionless surface with an amplitude of 8.00 cm. a) Find the total energy of the system. 112 mJ b) Find the speed of the object when the position is 1.20 cm.
According to the given data the total energy (E) of the system is 11.2 m J.
What is an illustration of oscillation?A periodic movement between two sites is what is referred to as oscillation in this type of behavior. Examples of oscillating motion include plucking a guitar string, pendulum swinging, and pogo stick bouncing. The major distinction between oscillation, vibration, and simple harmonic motion is that oscillation is a general term for any repeating fluctuation about a central value, whereas vibration is a term used especially to describe mechanical oscillations.
Energy is given by-
E= 1/2KA²
E = 1/2 ×N/m× (8×10∧-2 m)²
E = 11.2 m J
Speed of the object-
v = ω[tex]\sqrt{A2-x2}[/tex]
v = [tex]\sqrt{K/m}[/tex] [tex]\sqrt{A2 - x2}[/tex]
v = [tex]\sqrt{35/55*10-3}[/tex] ×( (8×10-2)∧-2 - (1.20 × 10-2)∧2 )[tex]^{-1/2}[/tex]
v = 25.22 × 0.079
v = 2 m/s.
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do you think humans might be useful as index fossils in the future. Explain.
Index fossils are fossils that are used to help determine the relative age of rock layers and sedimentary strata. They are typically small, widely distributed organisms that lived for a relatively short period of time and are characteristic of a specific geological period. Index fossils are useful because they can help geologists and paleontologists to determine the relative age of rock formations and to understand the Earth's geological history.
It is unlikely that humans would be useful as index fossils in the future, as the time period during which humans have existed on Earth is relatively short compared to the age of the Earth as a whole. In addition, humans are not small, widely distributed organisms like many of the commonly used index fossils. Instead, humans are large, highly adapted organisms that have a wide range of habitats and are found on most of the continents.
However, it is possible that artifacts or other remains associated with human activity could be used as index fossils in the future. For example, the presence of certain types of tools or other materials might be used to help determine the relative age of a site or to understand the environmental conditions and human activity in a particular region at a specific point in time.
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The human ear canal is about 2. 8 cm long and can be regarded as a tube open at one end and closed at the eardrum. What is the frequency around which we would expect hearing to be best when the speed of sound in air is 344. 5 m/s? (hint: find the fundamental frequency for the ear canal. )
The human ear canal is closed at one end. Thus, the fundamental frequency of the given ear canal is 3044.64Hz 3044.64 Hz .
Calculation and Explanation:Under air conduction (AC) excitation, the mean resonance frequency of the human middle ear is estimated to be between 0.8 and 1.2 kHz. The typical resonance frequency under bone conduction (BC) excitation, according to research, is higher, at 1.5–2 kHz.
It is a tube with an open end (the concha section) and a closed end (the tympanic membrane), which responds to a quarter-wave by behaving as a resonator. The resonance frequency is described by the equation F=v/4L, where "v" stands for the speed of sound and "L" for the length of the EAC.
The EAR formula should be used: EAR = (1+ i/n)n - 1. I = Stated interest rate, etc.
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The current in a ________
Answer here
circuit is the same at every point?
Answer:
Series.
Explanation:
Current is the same in each device since there is only a single pathway for the charge to flow.
Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of -3. 63 × 1016 N⋅m2/C at the planet's surface.
a) Calculate the total electric charge on the planet.
b) Calculate the magnitude of the electric field at the planet's surface (refer to the astronomical data inside the back cover).
c) Find the direction of the electric field at the planet's surface.
d) Calculate the charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface
With a net electric flux of -3. 63 1016 N/m2/C at its surface, the planet Mars has an electric field that is somewhat similar to that of the earth. There will be 3.26 x [tex]10^{5}[/tex] of electric charge throughout the entire earth.
Which best sums up Gauss's law?The electric flux across any closed surface is proportional to the net electric charge q enclosed by the surface, according to Gauss's law of electricity, which reads as = q/0, where 0 is the electric permittivity of free space, which has a value of 8.854 10-12 square coulombs per newton per square meter.
How can the angle of a vector in an electric flux be determined?E is the magnitude of the electric field (with units of V/m), S is the area of the surface, and is the angle between the electric field lines and the normal (perpendicular) to S. If the electric field is uniform, the electric flux (E) travelling through a surface of vector area S is: E = ES = EScos.
Calculation:Ф = q/ε
⇒ 3.69 x [tex]10^{16}[/tex] x = q/ 8.85 x [tex]10^{-12}[/tex]
q = 3.26 x [tex]10^{5}[/tex]
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The hanging mass is referred to as M and it sets the centripetal force.
True
False
Answer:
False
Explanation:
The centripetal force is the force that points towards the center and is responsible for keeping an object in a curved path. This force is provided by the tension in the string, not the mass of the object.
What is a way Accenture plans to achieve its sustainability goals by integrating sustainability metrics into all our client engagements?
One way that Accenture is seeking to achieve its sustainability goals is by integrating sustainability metrics into all of its client engagements.
What is sustainability?
Sustainability is the practice of using resources in a manner that meets the economic, social, and environmental needs of the present without compromising the ability of future generations to meet their own needs. It is a systemic approach to creating and maintaining conditions that allow people to thrive in the present without compromising the planet’s ability to support future generations.
This includes leveraging Accenture’s proprietary Sustainability Maturity Model, which provides a structured approach to measure and track sustainability performance. It also includes embedding sustainability into the design of client projects, developing strategies to enable clients to reach their sustainability goals, and exploring the potential of emerging technologies to accelerate progress. Additionally, Accenture is committed to providing its clients with data-driven insights and best practices that enable them to meet their sustainability objectives.
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