If a car moves 12 km north, 19 km east, and 12 km south, what is its displacement?

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.

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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Type I error, for a particular test is reduced. There will be an increase in Type II error. Regarding Type I and Type II errors of a significance test, the following statements are accurate:

P(Type II mistake) = P - 1 (Type I error). This is untrue; the likelihood of making a Type II error is and is related to the test's power by P = 1 -. The significance level (the parameter) defines the likelihood of making a Type I error.

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Answer:  B

Explanation:

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.

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.

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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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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Option B.   feelings of i A child's worry caused by a stranger is known as "stranger anxiety."

Answer. Strangers or strange environments are frequently what cause stranger anxiety. Therefore, given that the setting is familiar and there is no perceived threat from outsiders, it is less likely to emerge in a multiple-choice context.

When a stranger approaches, sobbing is a sign of stranger anxiety. It is typical when it begins at around 8 to 9 months of age and typically goes away by age 2. The infant's developmental process of separating the familiar from the unknown is linked to stranger dread. A infant has separation anxiety when they are separated from the person who loves them the most, usually their mother. When: Stranger anxiety

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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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Answer:

A

Explanation:

A 0.28 kg stone you throw rises 34.3 m in the air. The impulse our hand receives from the stone while it throws the stone is 7.3 N.s

What is Impulse?

Impulse can be defined as the sudden force acting on an object for a short interval of time. Conventionally represented by “J”. Sometimes by “imp” and expressed in “N.s”.

Impulse = change in momentum

the stone rises to a height of 34.3m

final velocity of the stone is 0m/s

so applying equation of motion:

V2 - U2 = 2gS ( where S is the height, g is value of gravity )

0 - U2 = 2(-9.8)×34.3

U2 = 672.3

U = √672.3

= 26m/s

so initial velocity is 26m/s.

Impulse = change in momentum

Impulse = mv - mu

= 0 - (0.28× 26)

= - 7.3 N.s

So the impulse our hand receives from the stone while it thrown the stone is 7.3 N.s

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Answer:

mass 3.67 kg, density 600 kg/m3) is fitted

with lead (density 1.14 * 10^4 kg/m3) so that it floats in water with

0.900 of its volume submerged. Find the lead mass if the lead is fitted

to the block’s (a) top and (b) bottom.

The product of 1.24 and 107 kilograms expressed in standard form is 1.3268 x 10² kg.

A standard form is a form of writing equations, numbers, or expressions using a certain set of rules.

Standard form is a method often used by scientists to express large number into a more condensed form, usually in power of ten.

The product of 1.24 and 107 kilograms expressed in standard form is calculated as;

1.24 x 107 kg = 132.68 kg

in standard form = 1.3268 x 10² kg

Thus, numbers expressed in standard forms makes it very easy to represent and recall the number.

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The u1 =initial speed of the  bullet= 490.86 m/sec is the correct answer.

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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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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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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Answer:

2.5 kg

Explanation:

Kinetic Energy = 1/2 m * v^2

2 * KE  / v^2 = m         2 * 2000 / ( 40^2) = 2.5 kg

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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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.

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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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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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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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.

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.

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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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.

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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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.

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).

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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Answer:

The acceleration of the student-bicycle system is 3.52 m/s^2 toward the center of the circle.

Explanation:

Answer:

Phase shift {F(x)} = Asin(Bx-C) + D.

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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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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After being fired vertically upward into the block at a speed of 403.4 m/s, a 10 g bullet stops inside the block and the block starts to oscillate, with its highest point rising 45 cm above the beginning level.

Mu+0=(m+M)V

V=mu/m+M= velocity of system after collision

1/2(m+M)V² = 1/2kx²

(m+M)*m²u²/(m+M)² = kx²

u²=(2+10^-2)*40*0.45^2

u=√16.28 *10²

u=403.4  m/s

Speed is the rate of movement along a path, whereas velocity is the speed and direction of an object's motion. In other words, speed is a scalar value, but velocity is a vector. Velocity has magnitude and direction because it is a vector quantity. The distance (d) traveled over the change in time is the definition of speed (t).

Speed is a unit of measurement for how swiftly a body moves. The rate at which an object's location changes in any direction is referred to as speed. The distance traveled divided by the trip time is how speed is calculated.

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Explanation:

1. 19.6m/s

2. 274.4 m/s²

3. 28