The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.
An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.
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Two objects with negative charges of 6.2 nC each are separated by 0.3 m. What is the size and direction of theforce between the two charges?
A negatively charged object is one that has more electrons than protons.
What is the negative charge?A negative charge is present when an object has more electrons than protons. An atom has a positive charge when there are more protons than electrons in it. The charges of protons are positive while those of electrons are negative. The coulomb is used to measure charge (C).
The opposite of a charge's attraction is the opposite of its repellency. Therefore, a positive charge attracts a negative charge, whereas two negative charges repel one another. Along the boundary between the two charges, attraction or repulsion occurs.
Along the line that connects the centres of the two objects, the force is applied in that direction. Coulomb's law results in a negative value if the two charges have opposing signs. As a result, the force separating the particles is an attractive force.Coulomb's law produces a favourable outcome if the two charges have the same signs.
Therefore, the answer is 12.4 c positive.
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Two objects with negative charges of 6.2 nC (Coulomb) each are separated by 0.3 m. the size and direction of the force between the two charges is 3.8387038*10^12 N and toward left.
What is Coulomb?In the International System of Units, the unit of electric charge is the coulomb. It is equivalent to 5 1027/801088317 elementary charges in the current version of the SI, as well as the electric charge given by a 1 ampere continuous current in 1 second, e.Solution:
Given :
Two objects with negative charges of 6.2 nC (nano coulomb ) each.
Separation= 0.3 m.
We will use the following Coulomb’s Law.
F = k*|q1| |q2|/r2 ∵ where k = 8.9876 × 109 N·m2
Putting the values, we get
F = 8.9876 × 109*|6.2| |6.2|/0.3^2
F=3.8387038*10^12 N
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If 400g of ice at -2°C i placed in 1 kg of water at 21°C what i the end product when equilibrium i reached?
The end product when equilibrium is reached is a mixture of water and ice at a temperature of 0°C.
Since the temperature of the water is higher than the temperature of the ice, the ice starts to melt and the temperature of the mixture decreases until it reaches the freezing point of 0°C.
The amount of water in the mixture increases due to the melting of the ice while the amount of ice decreases until all of the ice has melted and there is 1.4 kg of water in the mixture.
The heat energy that was released when the ice melted is absorbed by the water, raising its temperature to 0°C and causing it to reach equilibrium.
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Which would be eaier to carry --- a chool bag with a broad trap for a chool bag with a very thin trap?
Jutify your anwer
A school bag with a broad strap would be easier to carry when compared with a school bag with thin strap.
Bags are used to carry loads. There are bags with two straps and bags with one strap. Bags with one strap spread lesser area for carrying whereas bags with two straps spread more area.
The school bags with broad straps are easier to handle. This is due to the reason that the load of the bag is distributed over larger area, thereby decreasing the pressure on the shoulders. The pressure provided by smaller straps is higher ans causes irritation.
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The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.a.6 kmc.0.6 kmb.600 kmd.60 km
The actual distance is 6 km. The solution to the problem is as follows: By ratio and proportion: 1:20 = 0.3:x, Cross multiplying: 20(0.3) = x, x = 6
Therefore the answer is the first choice or letter A which is 6 km.
How would a surface without friction feel?It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.
Is there any surface in the world without friction?In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.
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PLEASE HELP!!!!! BRAINLIEST
Elena failed her algebra exam and blames her teacher for teaching the concepts poorly. How would attribution theory explain Elena's behavior?
Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Elena is using internal attribution because she is blaming events that were within her own control.
Elena is using internal attribution because she is blaming events that were within her own control.
Elena is using situational attribution because she is blaming events that were outside of her control.
Elena is using situational attribution because she is blaming events that were outside of her control.
Elena is making a dispositional attribution because she is assigning her teacher's behavior to her character
Elena is using situational attribution because she is blaming events that were outside of her control.
Attribution is a concept used in psychology to describe how people see the reasons of their daily experiences as either external or internal. Attribution theory refers to models that explain this process. To comprehend people's behaviour, we use attribution theory to assign sentiments and intentions to them. For example, when we witness someone ranting on public transportation, we may automatically use this notion. You may blame their personality, presuming they are an angry person.
Psychologists have discovered a number of biases in the way humans ascribe causality, particularly when engaging with others. The basic attribution mistake is defined as the propensity to credit dispositional or personality-based reasons for behaviour rather than taking into account environmental variables. We have a tendency to blame individuals for their own tragedies while blaming external forces for our own. Culture bias occurs when someone assumes anything about another person's conduct based on their own cultural customs and beliefs.
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A thermodynamic system undergoes a process in which its internal energy decreases by 500 joules. at the same time, 220 joules of work is done on the system. what is the amount of heat transferred to or from the system?
a. 280 joules
b. 720 joules
c. -280 joules
d. -720 joules
e. 0 joules
The amount of heat transferred from the system is -720j, hence option d is the proper response. It passes through a process where its internal energy drops by 500 joules in a thermodynamic system.
The system receives 220 joules of work at the same time. A thermodynamic system's internal energy is the energy that it contains, excluding the energies that are determined by how it interacts with its environment, such as the system's overall kinetic energy of motion and its overall potential energy with regard to external force fields. The definition of heat in thermodynamics is the kind of energy that crosses a thermodynamic system's boundary.
U = Q+W
Q = U - W Q = -500 -220 = -720J
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If it takes 4 hours for the Hogwarts express, moving at a speed of 100 mi/hr,to make it from Platform 9 and 3/4 to Hogwarts,how far apart are they?
The distance between Platform 9 and 3/4 and Hogwarts at a speed of 100miles/hour is 400miles.
What is distance?Distance is defined as an object's total movement with or without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point. Distance can be measured as Speed multiplied by Time.
If it takes 4 hours from Hogwarts express, at a speed of 100mi/hr to Platform 9 and 3/4 to Hogwarts, using the formula;
Distance = Speed x Time
Distance = 100 miles/hour x 4 hours
Distance = 400 miles
Therefore, the distance to platform 9 and 3/4 from Hogwarts express is 400 miles.
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What is the function of the countercurrent system of flow?
In the renal medulla, a countercurrent mechanism keeps things in balance. The solution flows concurrently in the same direction. The solution flows in the opposite direction of the countercurrent flow.
Cross-current flow here, the liquids move in the opposing directions through the two tubes. One end of a tube in a single tube starts to flow a solution with a concentration of 0%, while the other end in the same tube starts to flow a solution with a concentration of 100%.
The kidneys have two countercurrent processes. They are the vasa recta and the Henle loop. The nephron's Henle's loop is a U-shaped structure. The two limbs of the vessel's two blood streams move in the opposing directions, creating countercurrents.
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3. An air bubble of radius r rises steadily through
a liquid of density p at the rate of v. Neglecting
density of air, find the coefficient of viscosity of
liquid.
The coefficient of viscosity of a liquid can be determined from the motion of a bubble rising or falling through the liquid.
What is viscosity?
Viscosity basically is the measure of a fluid's resistance to flow. It is a measure of a fluid's internal friction, which is caused by the attraction of molecules in the fluid. Viscosity is an important physical property of fluids, as it affects the fluid's flow characteristics.
The equation for the coefficient of viscosity is given by:
2/9 r2 ρg/v.
where,
r = radius of bubble
ρ = density of liquid
g = acceleration due to gravity
v = velocity of bubble
Therefore, to calculate the coefficient of viscosity of a liquid, we need to know the radius of the bubble, the density of the liquid, the acceleration due to gravity, and the velocity of the bubble.
Hence, the coefficient of viscosity of liquid is 2/9 r2 ρg/v.
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How should two resistors, with resistances R1 Ω, R2 Ω, be connected to a battery of
e.m.f. V volts so that the electrical power consumed is minimum?
Answer:
The two resistors should be connected in series.
(I assume that the question is stating the electrical power consumed by the resistors)
Explanation:
Think about the formula P = V^2 / R
For the electrical power consumed to be a minimum, we must let V be as small as possible.
For small V, between a series and a parallel connection, series is the correct connection as the combined potential difference (pd) for the two resistors is equal to the electromotive force (emf) of the battery.
However, for parallel connections, the combined pd for the two resistors is equal to twice the emf of the battery. (Each resistor will have a pd equal to the emf of the battery)
With lower total V, with the same R, power P consumed will decrease.
1. Two objects with the same mass move toward each other with the same speed and experience an elastic collision. Compare the final velocities of each object to their initial velocities
Answer:
M1 U1 + M2 U2 = ( M1 + M2 ) V
Explanation:
they rebounce, therefore it's elastic.
PLSS HELP
A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car.
According to Newton's third law of motion the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.
What is collision?Collison is a short time force acting between two objects. There are both elastic and inelastic collision. In elastic collision, the kinetic energy and momentum of the colliding system is conserved whereas in inelastic collision, the kinetic energy is not conserved.
For any type of collision, we can apply Newton's third law of motion. This law states that, for every action there is an equal and opposite reaction. Therefore, in a collision, the force exerted by each object will be equal and opposite in direction.
Therefore, the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.
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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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In Newton's second law, F = ma, the mass m is a gravitational mass.
(a) True
(b) False.
True: In newton's second law, F = ma, the mass m is a gravitational mass.
What is Newton's second law?
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In equation form this can be written as F = ma, where F is the net force applied,
m is the mass of the object, and a is the acceleration of the object. This law explains that the larger the force applied, the greater the acceleration of the object.
Also, the larger the mass of the object, the lower the acceleration when the same force is applied to the object.
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A rope of length L is attached to a support at point C. A person of mass m, sits on a ledge at position Aholding the other end of the rope so that its horizontal and taut, as shown above. The person then dropsoff the ledge and swings down the rope toward position B on the lower ledge where an object withmass m₂ is at rest. At position B the person grabs hold of the object and simultaneously lets go of therope. The person and object then land together in the lake at point D, which is a vertical distance Lbelow position B. Air resistance and mass of the rope are negligible. Derive expressions for each of thefollowing in terms of m₁, m₂, L, and g.
Insignificant are air resistance and rope mass. Point C on a support is where a rope of length L is fastened.
What is meant by mass?As a measure of inertia, which is a characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body.The amount of matter that makes up any object or body is best referred to as its mass. All of the objects we perceive have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy.The amount of matter in a thing is measured by its mass.To learn more about mass refer to:
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According to legend, the evidence that stimulated Newton to propose the law of universal gravitation emerged from a study of ____. a. the motion of the moon and other celestial or heavenly bodies b. the fall of an apple to the Earth c. the gravitational interaction of smaller objects upon the Earth d. ...nonsense! There was no evidence; it was just proposed as a theory.
According to legend, the evidence that stimulated Newton to propose the law of universal gravitation emerged from a study of the motion of the moon and other celestial or heavenly bodies.
Newton made a comparison between the moon's acceleration and that of earthly objects. Newton was able to make a significant discovery regarding the relationship between gravity and distance by assuming that gravitational forces were in charge of each.
He came to the conclusion that the force of gravitational attraction between the Earth and other objects is inversely proportional to the separation between the centres of the two objects as a result of this comparison. But there are other factors than distance that might impact how strong a gravitational force is.
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I made an imaginary planet for my dnd campaign and I would like to know how to find the orbital ditance and the ditance from the un uing the information I have gathered o far. Day Duration: 36 hour
Orbit Duration: 1. 6 Earth year
Year Duration: 389. 3. Day
Gravity: 9. 608 m/²
Axial Preceion: 15,000 year
Axial Tilt: 21. 7 to 23. 5
Axial Ocillate: 8333. 3. Year per 0. 1 ocillate of 1. 8 ocillation
Number of moon: 3
CLimate region: much imilar to earth Temperate region are
the magority of the planet with tropical at the equator and
ubtropical at the pole with eaon changing at the prevernal,
vernal, etival, erotinal, autumnal, and hibernal period
Radiu: 4578. 2 (m)
Planet Ma: 3017387649322753000
Circumference: 28765. 6789733
The appropriate calculation is required for knowing how to find the orbital distance and the distance from the using the information.
For approximately circular orbits the orbital radius is the distance from an object in space to the body which it is orbiting. When an object orbits a body in space it rotates around that body drawing out a circle or an ellipse depending on its orbit. Earth's orbit is the path in which the Earth travels around the Sun. Earth lies at an average distance of 149.59787 million kilometers (93 million miles) from the Sun and a complete orbit occurs every 365.256 days.
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A typical spectrophotometer has a path length (the distance light travels through a sample) of 1 cm. Light travels at approximately 3.0 x 108 m/s in vacuum. How long does it take (in ns) for light to travel 1.0 cm
The time taken is 3.33 ns for light to travel 1.0 cm in a spectrophotometer.
What is time?
Time is defined as a scalar quantity that describes the progression of events in the universe. It is often considered to be the fourth dimension of spacetime, along with the three dimensions of space. Time is closely related to the concepts of causality, or the relationship between cause and effect, and is considered to be a fundamental aspect of the physical universe.
The distance light travels in 1 cm is equal to 1 cm x 10^-2 m. To find out how long it takes for light to travel this distance, we can use the formula:
time = distance / speed
Where distance is the distance light travels (1.0 cm x 10^-2 m), and speed is the speed of light in vacuum (3.0 x 108 m/s).
time = (1.0 cm x 10^-2 m) / (3.0 x 108 m/s)
time = 3.33 x 10^-10 s
To convert this time to nanoseconds (ns), we can multiply the time in seconds by 1 billion (10^9):
time = 3.33 x 10^-10 s x 10^9 ns/s
time = 3.33 ns
Therefore, the time taken is approximately 3.33 ns for light to travel 1.0 cm in a spectrophotometer.
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Classify the phase-change scenarios according to the direction of the heat flow in each case. No net transfer of heat occurs Heat is transferred from the water to the surroundings Heat is transferred to the water from the surroundings
When working through these problems, think about the heat in terms of movement of the molecules of water.
Heat is transferred from the water to the surroundings --- water molecules slowing down.
Heat is transferred to the water from the surroundings --- water molecules heating up.
a cloud of steam condenses into liquid water - Heat is transferred from the water to the surroundings. Steam has more molecules moving around than liquid water. Therefore the molecules had to slow down, thereby transferring heat to the surroundings.a block of ice sublimates into water vapor - Heat is transferred to the water from the surroundings --- water molecules are heating upa block of ice melts - Heat is transferred to the water from the surroundings. The water molecules are basically not moving. Therefore heat has to be introduced to the molecules, which causes the melting.a puddle of water evaporates - Heat is transferred to the water from the surroundings. The water molecules are moving in the liquid state. However, when more heat is introduced to the liquid, the molecules move more rapidly and evaporate.a puddle of water freezes into ice - Heat is transferred from the water to the surroundings --- water molecules slowing down as they go from a liquid state to a solid state. ABOUT HEAT TRANSFERHeat transfer is the transfer of energy due to the difference of temperature between two different places. The main discussion in heat transfer is how the energy in heat can move places and the rate of transfer under certain conditions. Heat transfer includes the processes of inflow and outflow of heat. In industrial processes, heat transfer is used to achieve the required temperature in the industrial process and maintain the required temperature throughout the process.
Heat transfer from one object to another can occur by conduction, convection, and radiation. The determinant of heat transfer is the temperature difference. The direction of heat transfer starts from a medium with a high temperature to a medium with a lower temperature. Heat transfer can occur with a single process or multiple processes.
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if you reverse the poles of battery what will happen to the direction Of the lines?
Answer: The battery casing will explode
Explanation: Hydrogen gas will be released because of the heat which may cause an explosion.
A unitormly dense, spherical
planet has a mass of 4×1026 kg, as well
as a radius of 53,000 km. It also
happens to also be hollow in the
following way shown. What is the
magnitude of the gravitational field of
the planet at the point P, in N/kg?
Round your answer to two decimal
places.
The magnitude of the gravitational field of the planet depends on its mass and distance from the object being affected by it.
What is Gravitational field?
Gravitational field is a region of space where a mass or object experiences a force of gravity. It is caused by the presence of a massive object, such as a planet or star, which exerts a gravitational pull on other objects within its vicinity. The strength of the gravitational field is determined by the mass of the object and its distance from other objects.
The gravitational field of the planet at Point P can be calculated by using the equation,
g = G*M/r2
where G is the gravitational constant (6.67 x 10-11 Nm2/kg2), M is the mass of the planet (4 x 1026 kg), and r is the distance from the center of the planet to Point P (53,000 km).
Plugging in the values,
g = (6.67 x 10-11 Nm2/kg2) x (4 x 1026 kg) / (53,000 km)2
g = (6.67 x 10-11 Nm2/kg2) x (4 x 1026 kg) / (2.8409 x 1012 m2)
g = (6.67 x 10-11 Nm2/kg2) x (14.1636 x 1015 kg)
g = 9.5 x 10-5 N/kg
Therefore, the magnitude of the gravitational field of the planet at Point P is 9.50 x 10-5 N/kg.
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How do you calculate torque of a shaft?
Divide the radius by the shear stress and the polar moment of inertia to find the shaft torque.
A device that measures shaft torque records the degree to which a shaft will twist in the presence of a specific amount of force. A shaft will twist less than one with a torque of 3 degrees than one with a torque of 5 degrees, and so on.
Does torque equate to rotation?The rotating equivalent of force is torque. So an object will rotate with an angular acceleration in response to a net torque. A torque must be described about the rotational axis since every rotational motion has an axis of rotation. A torque is an applied force that rotates an object about its axis.
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Taylor's car broke down and he exerted a force of 8,000 newtons trying to push it before giving up and calling the tow truck. How much work did he accomplish
He accomplished no job. When Taylor's car broke down, he attempted to push it with 8,000 newtons of force before giving up and calling a tow truck.
The amount that indicates how many times a machine multiplies a force is known as what?The mechanical advantage is how many times a machine can multiply the force of the effort. The mechanical advantage of the machine increases when the effort force is exerted across a bigger distance.
Please describe force multiplier machines and provide two instances.Force multipliers are tools that lessen the force required to move an object. Force multipliers come in handy when lifting heavy objects or performing other actions that call for a lot of force.
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A rubber ball and a clay ball of equal mass are dropped from the same height and hit the ground. The clay ball sticks to the ground while the rubber ball rebounds. Which experiences the greater impulse from the ground
The rubber ball experiences the greater impulse from the ground, because the clay ball sticks to the ground and does not rebound. Impulse is equal to the change in momentum, and since the rubber ball rebounds and the clay ball does not, the rubber ball experiences a greater change in momentum and, therefore, a greater impulse from the ground.
The momentum of the rubber ball is also greater than that of the clay ball, because the rubber ball rebounds and the clay ball does not. Momentum is equal to the product of mass and velocity, and the rubber ball's velocity is greater than that of the clay ball due to its rebound. Therefore, the rubber ball has greater momentum than the clay ball.
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If a ball is rolling with 5 pounds of force, how much force will be needed to stop the ball from rolling and why?
A
It would take 25 pounds of force to stop the ball from rolling because it takes five times as much force to stop as object.
B
It would take 2. 5 pounds of force to stop the ball from rolling because it takes half of the amount of force to stop an object.
C
It would take 10 pounds of force to stop the ball from rolling because it takes double the amount of force to stop an object.
D
It would take 5 pounds of force to stop the ball from rolling because the same amount of force must be used to stop the object
It would take 5 pounds of force, that is equal force, to stop the ball from rolling because the same amount of force must be used to stop the object.
According to Newton's third law of motion, every action which is occurring in nature has an equal as well as an opposite reaction. For instance, if a particular object A happens to exert a force on another object B, then object B will also be exerting an equal as well as an opposite force on object A.
If a particular ball is rolling with 5 pounds of force then the same amount of reaction will be required to bring it to rest. That is, equal force of 5 pounds will be required to stop the ball.
Hence, option D is the correct option.
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What environmental factors can influence genetic variations?
Some harmful environmental factors can change the nucleotide sequence of a gene. UV rays, for example, can harm DNA strands.
What elements influence genetic variation?Genetic variations arise during meiosis as a result of mutation and recombination. Chemical or biological mutagens frequently result in mutations. The genetic diversity of organisms is also altered by accidental mating.
What are five examples of environmental variations?The length at which you want to wear your hair. Scars – from your own unique accidents. The strength of your muscles depends on how much exercise you get. Piercings, whether you decide to have them or not. Mutations are the primary cause of the emergence of genetic variation.
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A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that is defined at time t=0. 00s by the equation y(x)=6. 00m3x2+2. 00m2 centered around x=0. 00m. The pulse moves with a velocity of v=3. 00m/s in the positive x-direction. (a) What is the amplitude of the pulse? (b) What is the equation of the pulse as a function of position and time? (c) Where is the pulse centered at time t=5. 00s?
The amplitude of the pulse is 3 m, the equation of the pulse as a function of position and time is y(x) = 6/{(x - 3t)² + 2} m and the pulse is 15 m centred at time t = 5. 00s.
y(x) = 6/(x² + 2)
v = 3 m/s
The amplitude(A) of the pulse:
When x= 0, Then y = A
Put x= 0
y(x) = 6/(x² + 2)
y(0) = 6/(0² + 2)
y = A = 3 m
Distance travel in time t
x = vt
x = 3 t
y(x) = 6/{(x - 3t)² + 2}
The distance covered by the pulse in the time 5 s
D = v t
D = 3 x 5
D = 15 m
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1. A force of 60 Newtons is applied to the end of a wrench 0. 12 m long. How much torque is produced?
Answer: The amount of Torque produced is 7.2 Nm.
Explanation:
Given:
Force applied (F) to the end of a wrench = 60 Newton
Length of wrench = 0.12 meter
To find:
Quantity of Torque produced
Solution:
The quantity of Torque produced can be calculated from the following formula:
Ƭ = r F sin(θ)
Where,
Ƭ = Torque, r = radius, F = Force, (θ) = angle between F and the lever arm
In the given question,
r = 0.12,
F= 60,
(θ)= 900 {Since the force is applied at the end of a wrench, it must be perpendicular}
Torque (Ƭ) = 0.12* 60 * sin 900
= 7.2 m {sin 900 = 1}
Hence, in the given situation, 7.2 Nm Torque will be produced.
Ball A has a mass of 3 kg and moves at a velocity of 2 m/s. Ball B has a mass of 1 kg and rolls towards Ball A with a velocity of -4 m/s. After the collision, Ball A has a velocity of -1.5 m/s. What is the velocity of ball B after the collision?
Please show your work.
The velocity of ball B after the collision is 6.5 m/s.
What is law of conservation of momentum?According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.
Before collision ,
ball A of mass of 3 kg has velocity = 2 m/s.
ball B of mass of 1 kg has velocity= -4 m/s.
After the collision,
Ball A has a velocity = -1.5 m/s.
Let Ball B has a velocity = v m/s.
Applying law of conservation of momentum,
Total initial momentum = total final momentum
3×2 +1×-4 = 3×-1.5 + 1×v
⇒ v = 3×2 +1×-4 - 3×-1.5
⇒ v = 6.5 m/s.
hence, the velocity of ball B after the collision is 6.5 m/s.
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Select the correct answer. a heat engine has a cold reservoir of 250 k and a hot reservoir of 715 k. what is the maximum efficiency of the engine?
a. 65.0%
b. 60.8%
c. 73.6%
d. 58.6%
e. 69.1%
The maximum efficiency of the engine is a. 65.0%
The maximum efficiency of the heat engine is given by the Carnot efficiency, which is defined as:
Efficiency = (1 - (T cold / T hot)) * 100%
Where T cold is the temperature of the cold reservoir and T hot is the temperature of the hot reservoir.
Plugging in the given temperatures, we get:
Efficiency = (1 - (250 / 715)) * 100% = 65.0%.
So the answer is a. 65.0%.
So, using the temperatures given in the question:
Efficiency = 1 - (250 K/ 715 K) = 1 - 0.349 = 0.651 or 65.1%
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