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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A 3 kg toy car is moving at 4 m/s. Calculate the Ek if the car were moving TWICE as fast. Include units
The kinetic energy would be 96 J, for the car moving at 4m/s and with 3kg mass.
The kinetic energy (Ek) of the toy car is given by Ek = ½ mv2, where m is the mass of the car (3 kg) and v is the velocity (4 m/s). Thus, the kinetic energy of the car is 24 J. If the car were moving twice as fast (8 m/s), the kinetic energy would be 96 J. The units are Joules (J).
What is kinetic energy?Kinetic energy is the energy of a body or system due to its motion. It is the energy that an object has due to its motion. Kinetic energy is equal to one half of the mass of the object multiplied by the square of its velocity.
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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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A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground. What is the work done by this individual.
A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground. Then the work done by this individual is7.7×[tex]10^{5}[/tex]J
The work done by the skydiver can be calculated using the equation
W = mgh,
where m is the mass of the skydiver, g is the acceleration due to gravity, and h is the altitude of the skydiver.
In this case, the mass of the skydiver is 78 kg, g is 9.8 m/s2, and the height is 870 m.
Thus, the work done by the skydiver is 7.7 ×[tex]10^{5}[/tex] J.
This work is the energy that the skydiver has gained from the gravitational potential energy due to the difference in altitude between the ground and the skydiver's position. The work can be converted into kinetic energy due to the skydiver's speed of 62 m/s.
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Does speed increase down a ramp?
The speed depends on the gravitational force acting on the object in the rolling motion of the object that is acting on it at a continuous moment rate. the speed increases at a constant rate.
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.
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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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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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Construct the following SI derived unit, the coulomb, and define the faraday. A coulomb is a measure of and has units of: 1 A faraday is a constant and has a value of: (include units)
A coulomb is a measure of electrical charge and has units of amperes times seconds (A⋅s). A faraday is a constant equal to the magnitude of electric charge per mole of electrons of 96,485.3399 Coulombs (C).
What is magnitude?
Magnitude is a measure of the size or scale of an object or event. It is often used to describe the intensity or severity of a phenomenon, such as earthquakes and hurricanes. It is usually expressed as a number on a logarithmic scale. In astronomy, magnitude is used to measure the brightness of stars and other celestial bodies. On Earth, magnitude is often used to measure the size of earthquakes and other seismic events. Magnitudes are typically expressed as a number on a logarithmic scale, with a greater magnitude indicating a larger size or scale of the event. Magnitudes can also be used to measure the intensity of light, sound, and other forms of energy.
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Try to identify the following based on their description by a field geologist: A geologist found this sample to have an extremely shiny appearance, which was determined to be a bright silvery gray metallic. This sample is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.
This sample tends to break into cubes and is not extremely hard, perhaps just slightly harder than or as hard as a fingernail.
What is meant by sample?In contrast to the statistical definition, which refers to a collection of such values, a sample is a value of the signal at a particular moment in time and/or location.The number of samples per second (or per other unit) taken from a continuous signal to create a discrete or digital signal is known as the sampling rate or sampling frequency. A sample is a portion of continuous time-domain data that has been taken from the entire dataset. When a source produces an analog signal, the signal must be discretized in time if it is to be converted to a digital signal consisting of 1s and 0s, or High or Low. Sampling is the term used to describe this discretization of the analog stream.To learn more about sample refer to:
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Galena is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.
What is the use of the mineral galena?The main source of lead is galena, which is frequently mined for its silver content. In ceramic glaze, it can serve as a source of lead.
Where can one find galena?Galena was designated as Missouri's official mineral in 1967. The Joplin-Granby region in southwest Missouri, which is a part of the Tri-State Mining District, saw a boom in galena mining. Crawford, Washington, Iron, and Reynolds Counties all have rich deposits.
Galena is it light or heavy?Galena is lead sulfide with a specific gravity of 7.4 to 7.6 and a Moh's hardness of 2.5, making it actually rather soft. However, it is VERY heavy. It weighs roughly 700 pounds per cubic foot, for comparison.
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Adjusting the test-mass riser along the platform changes the radius of the circular path. True or false?
False: Adjusting the test-mass riser along the platform changes the radius of the circular path.
What is circular path ?
A circular path is a path that follows a circular shape or loop, as opposed to a linear path which follows a straight line. It is a type of motion that is common in physics, engineering, and mathematics. In engineering, circular paths are often used to describe the motion of objects such as wheels, gears, and pulleys.
In mathematics, circular paths are commonly used to describe rotations, orbits, circles, and other types of curves. Circular paths can also be used in artwork, architecture, and design.
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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!
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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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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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 coin placed 0.30 m away from the center of a rotating, horizontal turntable just begins to slip when its translational speed is 0.50 m/s. What is the coefficient of static friction between the coin and the turntable
According to the given statement The coefficient of static friction was found to be about 0.0850.
What is static friction ?Static friction is a force that prevents an item from moving. The friction encountered when persons attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface on which it is located.
The graph below depicts the turntable's constant maximum speed and the centripetal acceleration of the coin.
(a) The centripetal acceleration is caused by static friction.
(b) Using the diagram below,
mai^=fi^+nj^+mg(−j^)
Fy=0nmg, thus n=mg, and Fr=mrv2=f=n=mg
Then, \sμ=rgv²=(30.0cm)(980cm/s2)(50.0cm/s)²
=0.0850
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The complete question is -
A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s. (a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable? (b) What is the coefficient of static friction between coin and turntable?
Part A Find the magnitude of the minimum lorce F Ihal allows Ihe window washer t0 move upward Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g
The minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.
Given:
M = Mass of the window washer
g = Acceleration due to gravity
The forces acting are:
Force due to gravity = M × g
Tension in the rope = Force applied by the washer
The net force is zero. Therefore, the tension is:
T - M × g = 0
T = Mg
Hence, the minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.
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great players like LeBron James and Michael Jordan, due to their muscular bodies and athletic talent, defy against the law of physics true or false
The given statement is false. Due of their athleticism and muscular bodies, exceptional athletes like LeBron James or Michael Jordan transcend the laws of physics.
What is law of physics ?Laws of Physics are by their very nature statements of facts that have been inferred and developed from empirical data. Simply said, physical laws are a technique of categorizing how the world behaves when it comes to "functioning."
What is force?When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them. Actual forces can only be created by interaction.
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Measuring 27ml of liquid (daudgtear idnreiyc)?
Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.
Why would someone use a graduated cylinder?Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.
With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.
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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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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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ide over the
When she returned, the substance had changed phase, and the substance was in the liquid phase. What
Happened to the molecules of this substance?
a
b
d
Before the mechanic left, the molecules were moving away from each other. When she returned, they were
moving around each other.
Before the mechanic left, the molecules were moving around each other. When she returned, they were
moving in place.
Before the mechanic left, the molecules were moving around each other. When she returned, they were
moving away from each other.
Before the mechanic left, the molecules were moving in place. When she returned, they were moving around
each other.
croll for more
The correct answer is D) Before the mechanic left, the molecules were moving in place. When she returned, they were moving around each other. The change in phase from solid to liquid is due to a change in the motion of molecules.
What is molecules?Molecules are formed when two or more atoms come together and form a chemical bond. Molecules exist in all forms of matter and are the building blocks of all living organisms. Molecules can range in size from the very small, such as hydrogen, to the very large, such as proteins. Generally, molecules are composed of two or more atoms of the same element or different elements that are held together by chemical bonds. Molecules can also be composed of multiple subatomic particles, such as protons and neutrons, which form the nucleus of an atom. Molecules may also contain electrons, which are held in orbit around the nucleus by electrostatic forces. Molecules can have different shapes depending on the arrangement of their constituent atoms. Molecules are essential to all forms of life, as they are responsible for many of the physical and chemical processes that take place in living organisms.
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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:
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means:
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.
When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.
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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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I need help! 20 points.
No system is completely closed off from its surroundings.
Which example represents a system that is almost completely closed?
a freezer with the door shut
a wood-burning fireplace
a cup of tea on a counter
a pot of simmering soup
Answer: a freezer with the door shut
Explanation:
To ensure your battery's longevity, you should keep the area where cables are connected to the positive and negative poles clean. T/F
True. Keeping the terminals and cable connections clean helps to ensure a good electrical connection, which can prolong the life of the battery.
Keeping the terminals and cable connections of a battery clean is important for prolonging the battery's life. Dirt, corrosion, or other buildup on the terminals can create resistance in the circuit, which can lead to overheating and damage to the battery. This can cause the battery to charge and discharge less efficiently, reducing its overall capacity and lifespan. To clean the terminals, you can use a wire brush or a toothbrush with baking soda and water to scrub away any corrosion. Then, dry the terminals and cables thoroughly before reconnecting them to the battery. This will ensure a good electrical connection and a longer-lasting battery.
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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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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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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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If an object was accelerating at 10 m/s^2, and a force of 10 newtons was required to accelerate it, what was the object's mass
The required mass of the object with an acceleration of 10 m/s² and a force of 10 newtons to accelerate it is 1 kg.
From Newton's second's law of motion, force is described in equation form as, F = m × a
where, m is mass
a is acceleration
Given that,
Acceleration of an object = 10 m/s²
Force needed to accelerate the object = 10 N
Object's mass = ?
From the above equation, making mass as the subject, we have,
F = m × a
m = F/a = 10/10 = 1 kg
Thus, the required object's mass is calculated to be 1 kg.
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