The charge on each coin is equal to [tex]2.50 \times 10^{-10}\;Coulomb[/tex]
Given the following data:
Force = 2.0 NewtonRadius = 1.5 metersTo determine the charge on each coin, we would apply the law of electrostatic forces:
Mathematically, the law of electrostatic forces is given by the formula:
[tex]F = \frac{kq_1q_2}{r^2}[/tex]
Note: [tex]q_1 = q_2[/tex] (since the coin carry identical electric charges).
Therefore, the formula becomes:
[tex]F = \frac{k(2q)}{r^2}[/tex]
Making q the subject of formula, we have:
[tex]q=\frac{Fr^2}{2k}[/tex]
Substituting the given parameters into the formula, we have;
[tex]q=\frac{2 \times 1.5^2}{2 \times 8.99 \times 10^9}\\\\q=\frac{2 \times 2.25}{2 \times 8.99 \times 10^9}\\\\q=\frac{4.5}{17.98 \times 10^9}\\\\q=2.50 \times 10^{-10}\;Coulomb[/tex]
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018 (part 1 of 2) 10.0 points A jet aircraft is traveling at 232 m/s in horizontal flight. The engine takes in air at a rate of 117 kg/s and burns fuel at a rate of 4.8 kg/s. The exhaust gases are ejected at 723 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N. 019 (part 2 of 2) 10.0 points Find the delivered power. Answer in units of W.
The thrust of the jet engine is 59804 N and the delivered power is 1.388 MW.
What is thrust?Thrust is defined as the amount of effort required to move an airplane through air that is resisting its passage called drag. Newton's Second and Third Laws could be used to quantitatively explain the reaction force of thrust.
Given
Speed = 232 m/s
Air intake =117 kg/s
Fuel burn rate = 4.8 kg/s
Speed of exhaust gas = 723 m/s
Rate of mass change = 117 kg/s + 4.8 kg/s
= 121.8 kg/s
Thrust T = 121.8 x 723 - 121.8 x 232
Thrust T = 88061.4 - 28257.6
Thrust T = 59804 N
Delivery power = 232 x 59804
Delivery power = 1.388 MW
Thus, the thrust of the jet engine is 59804 N and the delivered power is 1.388 MW.
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Puck b has 2ma the mass of puck a. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension. How much is the final speeds of pucks a and b.
The final speed of pluck a is [tex]\sqrt{2}[/tex] times the speed of pluck b.
So we know, F= ma ( m is the mass of the particle and a is the acceleration )
Mass of pluck b =2m
Mass of pluck a = m
The tension in the string is the same and also the surface is frictionless. Hence, the only force acting on both the pluck is the force of tension 'T' .
acceleration of pluck b = T/2m
acceleration of pluck a =T/m
Let the distance traveled by both of them be 's'.
The initial velocity of both the plucks is 0.
We know v²-u² = 2as
u=0 for both plucks.
vₐ²-0 = (2)(T/m)(s)
=> Vₐ= [tex]\sqrt{\frac{2Ts}{m} }[/tex]
Similarly, Vb =[tex]\sqrt{\frac{Ts}{m} }[/tex]
Hence we can easily see, the velocity of pluck a is [tex]\sqrt{2}[/tex] times the speed of pluck b.
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help me solve this exercise pls
Explanation:
1. 19.6m/s
2. 274.4 m/s²
3. 28
a large truck and a small car have a head-on collision. which has the greater acceleration: the truck or the car? the truck has the greater acceleration because it has the greater mass. the car has the greater acceleration because it has the smaller mass. both the truck and car have the same magnitude of acceleration.
When a large truck and a small car have a head-on collision, B: "the car has the greater acceleration because it has the smaller mass".
Acceleration refers to the rate of change of velocity, reflecting that acceleration means the speed is changing. Based on the scenario when a large truck and a small car have a head-on collision, the car will exert a higger acceleration in comparison to the acceleration of the truck because the car has smaller mass.
It is because the acceleration is far greater for the lighter or smaller vehicles which would be subjected to a far greater velocity/speed change at the same time (duration of collision).
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What is the correct definition of a rarefaction?
A: region of zero pressure in a medium caused by a passing wave
B: region of low pressure in a medium caused by a passing wave
C: region of low altitude in a medium caused by a passing wave
D: region of high pressure in a medium caused by a passing wave
Answer: B
Explanation:
How is Hector an epic hero in the Iliad?
Hector is an epic hero in the Iliad due to his nature and best warrior abilities.
Hector is considered the bravest and strongest warrior among all the members of Trojan army. He proved his warrior skills by defeating Archean army when Achilles was absent. He lead the war and came back after winning. The Archeans had to leave.
Hector not only set the Archeans fire to ship but also killed Petroclus. The iliad also suggests that Hector was good in every role, as a son, husband, father and as friend as well. in
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a race car starts from rest on a circular track of radius 400 m. the car's speed increases at the constant rate of 0.547 m/s2. at the point where the magnitudes of the centripetal and tangential accelerations are equal, determine (a) the speed of the race car, (b) the elapsed time, and (c) the distance traveled
The speed of the race car is 14.142 ms−1.
The amount of time that passes between an event's beginning and its conclusion is known as the elapsed time. The time that has gone between the start and finish of an event is known as the elapsed time, to put it simply.
Calculation:Centripetal acceleration ac is given by the expression
ac=Rω
2=v2R
where
v is linear velocity of the object, ω is its angular velocity and R is the radius of the circle in which object moves.
Tangential acceleration at is given to be =0.500 ms−2
Equating the magnitudes of two and inserting value of R
we get v2400=0.500
⇒v=√0.500×400=√200=14.142 ms−1
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Organizational commitment has been found to be positively correlated with all of the following exceptan employee's agean employee's time on the job.an employee's level of educationthe current job market.2 pointsQUESTION 2Shannon is given random bonuses of varying amounts throughout the year based on "how well the company is doing." She is being reinforced using afixed ratio schedule.variable ratio schedule.fixed interval schedule.variable interval schedule.2 pointsQUESTION 3Glass created a computer game experiment whose results indicated that Type A subjects?Showed a significantly higher physiological stress response rates than the Type B subjects, but recovered back to baseline rates as quickly as the Type Bs.Showed significantly lower physiological stress response rates than the Type B subjects.Showed similar physiological stress response rates to the Type B subjects in the game, but had a signficantly higher stress response to the "harrass" condition.Showed significantly higher stress response rates but beat the game more times than the Type B subjects.2 pointsQUESTION 4According to goal-setting theory, the key determinants of motivation in the workplace arejob satisfaction and the accomplishment of goals.monetary incentives associated with meeting goals.specific, challenging opportunities and commitment to goals.specific, challenging opportunities and organizational policies directed at goal attainment.2 pointsQUESTION 5There is a negative correlation between age and voluntary absenteeism.TrueFalse
Current Job Market, Variable Ratio Schedule, Type A subjects recover to baselines rates much slower than Type B subjects., Specific challenging activities and commitment to goals,True
1) Current Job Market
Numerous studies have demonstrated a favourable correlation between organisational dedication and an employee's age, tenure, and educational attainment.
2) Variable Ratio Schedule
A reinforcement that strengthens behaviour after an erratic number of responses is known as a variable-ratio schedule.
3). Individuals with Type A personality commonly exhibit traits such as competitiveness and assertiveness, high levels of aggression and impatience, always associate themselves with winning than losing (i.e. achievement-oriented), and functioning at a quick pace. Most of them are highly dedicated to work and therefore force themselves into things that may not necessarily be interesting for them.
In the computer game experiment, Type A subjects are likely to show significantly higher stress response rates but beat the game more often than Type B subjects. Although both type A and B subjects are exposed to the same stress levels, Type A subjects experience more physiological stress and are likely to function better at those stress levels. Moreover, Type A subjects recover to baselines rates much slower than Type B subjects.
4) Specific challenging activities and commitment to goals
According to Locke's theory of goal setting, situations that are challenging and conscious objectives drive human behaviour.
5) True
According to numerous research done to ascertain the connection between age and absenteeism.
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If a cheetah runs 180 miles in 3 hours, what is its average speed?
Answer:
Avg speed = 60 miles per hour
Explanation:
We generally know that,
→ Speed = Distance ÷ Time
Formula we use,
→ s = d/t
Now the average speed will be,
→ s = d/t
→ s = 180/3
→ [ s = 60 ]
Hence, average speed is 60.
how long will a bus take to travel 150 km at an average speed of 40km/h
Answer:
3.75 hours
Explanation:
Take 150 divided by 40 = 3.75 hours
Answer:
3.75 hours
Explanation:
The formula for finding time (how long) is t = s/v where s is distance, v is speed and t is time.
We know that the distance that a bus wants to travel is 150 km with an average speed of 40 km/h. Therefore, substitute s = 150 km and v = 40 km/h in the formula:
[tex]\displaystyle{t=\dfrac{150 \, \text {km}}{40 \, \text {km/h}}}\\\\\displaystyle{t=3.75 \, \text{hours}}[/tex]
Therefore, it’ll take about 3.75 hours for a bus to travel 150 km distance.
consider two children sitting on a merry-go-round, with one closer to the outer edge and one closer to the center.
a student rides a bicycle in a circle at a constant speed and constant radius. a force diagram for the student-bicycle system is shown in the figure above. the value for each force is shown in the figure. what is the acceleration of the student-bicycle system?
Answer:
The acceleration of the student-bicycle system is 3.52 m/s^2 toward the center of the circle.
Explanation:
question: a 7.0 g bullet is fired into a 1.5 kg ballistic pendulum. the bullet emerges from the block with a speed of 200 m/s, and the block rises to a maximum height of 9.4 cm. find the initial speed of the bullet.
The u1 =initial speed of the bullet= 490.86 m/sec is the correct answer.
What is linear momentum?Linear momentum is a vector quantity that describes an object's motion through space. It is calculated by multiplying the mass of an object by its velocity. Momentum is conserved in closed systems, meaning that it is not changed by any action within the system. This makes it a very useful tool for analyzing the motion of objects and predicting their behavior. Momentum can be transferred between objects, and is often used to describe collisions. It is also used to describe the effects of forces on objects, such as how a force can cause an object to accelerate or decelerate. Momentum is an important concept in physics, and can be used to describe a variety of physical phenomena.
Using conservation of linear momentum, we write
m1u1 + m2 u2 = m1 v1 + m2v2
where u1 ,u2 are the initial velocities of masses m1 and m2
where v1 ,v2 are the final velocities of masses m1 and m2
hence (.007) (u1) + 1.5(0) = 1.5(v2) + .007(200).........................1
using energy equation for the block alone we get
mgh = 1/2 m (v2)^2
hence 9.8(.094) =.5 (v2)^2
hence v2=1.357 m/sec
substitute it in 1
we get,
u1 =initial speed of the bullet= 490.86 m/sec
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What best describes a scrum team TCS?
A Scrum Team can be described as an autonomous and a cross-functional team that works on developing product.
It is described as "a framework that enables people to manage complicated adaptive challenges while productively and innovatively producing goods of the greatest quality." Just enough preparation is done upfront by the entire team, then ongoing planning continues throughout the project. Scrum is a project management system that prioritizes collaboration, responsibility, and incremental advancement toward a clear objective. The framework starts with a straightforward directive: Begin with what is visible or understandable. The team begins to have a defined velocity for their work as they get to the performing stage. Small but with sufficient members to produce Product Increment Work together as a team to plan your own workload. Members of the team must be experts. Reports to the Product Owner from Cross Functional.
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How are solar and wind different?
Solar electricity is less effective than wind power. In comparison to solar panels, wind turbines produce more energy overall, use less energy, and emit less CO2 into the atmosphere.
What distinguishes wind and solar energy?Solar energy is less effective than wind energy. The atmosphere receives less CO2 from wind turbines. Solar panels emit 70 grams of CO2 per hour, compared to 4.64 grams per hour from wind turbines.
What distinguishes solar panels from wind turbines?20% of the energy captured from the sun may be converted by the most effective residential solar panel on the market. In contrast, wind turbines may convert 60% to 90% of the energy they capture from the wind.
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An object with an initial speed of 4. 0 meters per second accelerates uniformly at 2. 0 meters per second 2 in the direction of its motion for a distance of 5. 0 meters. What is the final speed of the object?.
For a distance of 5.0 meters, an object moving at an initial speed of 4.0 meters per second accelerates uniformly at 2.0 meters per second2. What is the object's final speed? Vi=4m/s
The object's final speed after uniformly accelerating in the direction of its motion is 6 m/s.
We apply the third equation of motion to calculate the object's final speed. Where u is the starting velocity, an is the acceleration, and s is the distance traveled, v is the end speed or velocity, a.
20 m/s is the final velocity.
Initial speed is equal to 16 m/s.
Equation 1 can be solved for by substituting these numbers above.
20² = 16²+2×a×36\s36a = 400-256
36a = 144\sa = 144/36\sa = 4
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What does the 2+ in mg2+ represent?
2+ in [tex]Mg^{2+}[/tex] represents that for becoming stable magnesium needs to release 2 electrons.
As, the atomic number of Magnesium = 12
So, the electron distribution will be like 2, 8, 2
As here, we can see, 2 electrons are present in the outermost orbit of Magnesium, due to which magnesium is not stable.
In order to become stable, Magnesium needs to release its 2 electrons.
After releasing 2 of its electrons, there will be 8 electrons in the outermost orbit of magnesium, and due to the octet in the outermost orbit, magnesium becomes stable.
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Which graphs represent functions?
The graph D represents a function.
"A function is a relationship between a number of inputs and outputs." Simply described, a function is an association between inputs in which each input has exactly one output. There is range, codomain, and domain for every function.
We use the vertical line test to determine whether or not the graph accurately depicts a function.
If any vertical line crosses the graph at exactly one point, the graph represents the function; otherwise, it does not.
Observing the graphs, we can say that, the vertical line intersects the graph D at one point only.
Hence, graph D represents a function.
The question is incomplete. It does not contain graphs. It is attached in the attachment below.
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What is the formula for calculating phase shift?
Answer:
Phase shift {F(x)} = Asin(Bx-C) + D.
following the inelastic collision of the carts, the two carts fuse into an object with double the mass of the original cart. there is then a frictional section of the track to slow the cart to a stop over 20 meters. describe the amount of work due to friction and frictional force exerted to stop both carts over 20 meters. calculate the work due to friction and frictional force. in your calculations, be sure to explicitly state the equations you use and what values you will be substituting to calculate the final value.
In the inelastic collision of the carts, the two carts fuse into an object with double the mass of the original cart. The works due to friction and the frictional force exerted to stop the two carts over 20 meters is 980 Joules.
What is inelastic collision?Generally, To calculate the work due to friction and the frictional force exerted to stop the two carts over 20 meters, we will need to know the coefficient of friction between the carts and the track, the mass of the two carts, and the acceleration due to gravity.
The equation for work due to friction is:
Work = Friction force * Distance
The equation for the friction force is:
Friction force = Coefficient of friction * Normal force
The normal force is equal to the mass of the two carts multiplied by the acceleration due to gravity:
Normal force = Mass * Gravity
We can substitute these equations into the equation for work to get:
Work = (Coefficient of friction * Mass * Gravity) * Distance
To calculate the work, we need to substitute in the values for the coefficient of friction, mass, gravity, and distance. Let's say the coefficient of friction is 0.5, the mass of the two carts is 10 kilograms, and the acceleration due to gravity is 9.8 meters per second squared. The distance the carts travel is 20 meters.
Substituting these values into the equation for work, we get:
Work = (0.5 * 10 * 9.8) * 20
Solving this equation gives us a final value for the work of: 980 Joules.
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What force causes the resistance of sliding of one surface over another?
Friction is a force that prevents two solid objects from rolling or sliding over one another. It's possible that frictional forces, like the traction required to walk while slipping, are advantageous.
What kind of force is necessary to slide two sliding surfaces past one another?A body rolling over a rough surface causes friction. Its coefficient of friction, or or Cf, indicates how rough the surface is. By dividing the normal force by the coefficient of friction, the friction force is calculated. Motion is constantly opposed by the frictional force.
What is the term for when two objects slide over one another?When two items move against one another, like in the case of the books on the table, sliding friction occurs. Because the two things are in contact, sliding friction results.
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zeke is attempting to learn more about his world. when he encounters a new object, he picks it up and puts it in his mouth. zeke is most likely in which of jean piaget’s stages of cognitive development?
It sounds like Zeke is most likely in Jean Piaget's stage of cognitive development known as the sensorimotor stage.
This stage typically occurs during the first two years of life, and it is characterized by the development of sensory and motor skills. Children in the sensorimotor stage use their senses and physical actions to explore and understand the world around them, and they learn about objects and their properties through direct interaction with them.
During the sensorimotor stage, children often engage in behaviors such as reaching for objects, grasping and manipulating objects, and putting objects in their mouths as a way of exploring and learning about them. These behaviors help children develop their sense of object permanence, which is the understanding that objects continue to exist even when they are not visible.
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Is water a Scope 3 emission?
Emissions from the biological decomposition of the waste during waste water treatment. Due to the fact that the organization does not run or regulate these emissions, they are categorized as Scope 3: Category 5 Waste Generated in Operations.
Is water an emission of carbon?Nearly 290 million metric tonnes of CO2 are produced annually in the US by the energy required to transfer, purify, and consume water for both residential and commercial purposes, which is equal to 5% of the country's overall carbon emissions.
What does a scope 3 carbon and mission look like?Although they occur from sources that the corporation does not own or control, scope emissions are a byproduct of company activity. Scope 3 activities include, for instance, the extraction and manufacturing of bought materials.
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What is the relationship between frequency and wavelength direct or inverse What is the relationship between frequency and energy direct or inverse?
Wavelength & frequency were related to energy in the same way that they are to light.Greater energy is correlated with shorter wavelengths and higher frequencies.E = hv is the energy equation.
Is there an inverse or direct link between frequency and energy?For an electromagnetic wave, the connection between frequency & energy is as follows.The electromagnetic wave's energy (E) is equal to its frequency times Plank's constant (h) (f).
What connection exists between energy, frequency, and wavelength?A wavelength's frequency & energy (E) drop as it gets longer.You may conclude from these equations that wavelength gets shorter as the frequency rises.The wavelength lengthens as the frequency drops.
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1. Predict the change in capacitance of a parallel plate capacitor as the area of the plates is increased. 2. Predict the change in capacitance of a parallel plate capacitor as the separation between the plates is increased. 3. Briefly describe the observations you will make in Activity 1-2 of the lab to test one of these two predictions. 4. If you have two identical capacitors, what do you predict will be the capacitance of the two connected in parallel? 5. Briefly describe the observations you will make in Activity 2-1 of the lab to test this prediction. 6. What devices will you use to measure the decay of voltage in an RC circuit?
The capacitor is the energy storage device in the form of electrical energy and the capacitance is the ratio of charge and potential difference between capacitors.
The capacitance in the parallel plate capacitor is directly proportional to the area of the conductor and inversely proportional to the distance between the capacitors. The unit of capacitance is Farad(F).
1) Capacitance of the parallel plate capacitor is directly proportional to the area of the conductors and hence Area increases, the capacitance also increases.
2) Capacitance is inversely proportional to the distance between the capacitors and hence distance between the capacitors increases, Capacitance decreases.
3) C = ε₀A/d, where A is the area of the capacitor and d is the distance between the capacitor, and C is the capacitance of the capacitor. The capacitance of the parallel plate capacitor is directly proportional to the area of the parallel plate capacitor and d is the distance of separation of plates.
4) If two identical capacitors are connected in parallel, the potential across the capacitors are same and the charge in the capacitors is different.
5) If the system has two capacitors connected in parallel, the charges remain unchanged and hence the net charge is equal to the individual charges of the capacitors. The net charge of the system is, Q = Q₁+Q₂. Q₁=C₁V and Q₂=C₂V, Q = V(C₁+C₂).
6) The device used to measure the decay of voltage in an RC circuit is the voltmeter. Voltmeter is a device used to measure the potential difference between two points.
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A car is driving down a road in the early morning when a deer walks into the road. if the deer was 25 meters away when the driver noticed it and the car was traveling at 20 m/s, did the car strike the deer? assume instant reaction time and that the car has a braking acceleration of -8.33 m/s2.
For the auto now no longer to strike the deer, the minimal deceleration ought to be eight m / (s ^ 2) with a blended immediately drivers response took at the distance of 15 metres.
The given parameters are;
The distance farfar from the deer the auto turned into while the motive force notices the deer = 25 m
The velocity of the auto = 20m / s
Therefore, for the auto now no longer to strike the deer, the minimal deceleration of the auto ought to be from 20 ^ 2 / (2 * 25) = eight m/s² for a direct motive force response time
For a motive force response time of 0.five seconds, we have
Distance moved with the aid of using car = 0.five * 20 = 10 metersDistance moved with the aid of using car = 0.five * 20 = 10 meters
Minimum deceleration of the auto required = 20 ^ 2 / (2 * 15) =13. overline three m/s^ 2
Distance of the auto from the deer on the begin of deceleration = 25 - 10 = 15 meters.
Therefore, climate the deer is struck with the aid of using the auto relies upon at the drivers response time and deceleration of the auto.
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given ωn = 20 rad/s and δst = 0.05 m, the frequency response function of the vibration system is
The system's steady-state response is 0.05 m for F(t) = 200 cos(10t) N. The steady-state response of the system is 0.10 m for F(t) = 200 cos(20t) N.
Part A's excitation frequency is 10 rad/s, while the system response frequency is 20 rad/s. According to the frequency response function, the steady-state response has a magnitude of 0.25 m.
Therefore, the steady-state response is 0.25 m cos (10t + 0.8 radians), where 0.8 radians is the phase angle of the system response.
Both the system response frequency and the excitation frequency for part b are 20 rad/s. According to the frequency response function, the steady-state response has a magnitude of 0.5 m.
The question is incomplete I answered it in general way.
Given ωn= 20 rad/s and δst = 0.05 m, the frequency response function of the vibration system is given. If the excitation function is a. F(t) = 200 cos(10t) N, b. F(t) = 200 cos(20t) N, Using the figures above to obtain the steady-state responses of the system.
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Please help soon. ( took a picture) thank you anyone that helps
Answer:
A
Explanation:
What does an inclined plane decrease?
An inclined plane creates a mechanical advantage that reduces the effort required to lift an object to a particular height, but it also lengthens the distance the object must travel.
The slope and height of an inclined plane determine its mechanical advantage. Divide the length of the slope by the height of the slope to determine the ideal mechanical advantage of an inclined plane. A mechanical advantage is created by an inclined plane to lessen the effort required to lift an object to a specific height, but it also lengthens the distance the object must travel. To move the distance and the height of an object going up an inclined plane, the object must move the complete length of the slope of the plane. For instance, if your ramp is 20 meters long and rises 5 meters high, your trade-off is between going 20 meters instead of lifting 5 meters straight up, and your ideal mechanical advantage is 4.
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anything that alters behavior is considered a
It is occasionally regarded as a mental illness, but it is also a method for treating such illnesses.
What does psychology mean by behavioural change?
1. a methodical strategy for using operant conditioning to modify behaviour.
2. Any change in behaviour that has an impact on a patient's functioning, whether it results from psychotherapeutic or other interventions or just happens naturally.
What causes a change in behaviour?
After going through a stressful scenario or seeing an unpleasant incident, a person's mood could change. These behavioural alterations could be the result of a mental health issue, such as: Anxiety:
Anxiety is a feeling of nervousness or uneasiness about a situation.
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