When working with two-dimensional motion, choose the direction of _________________ to be a positive direction.

Answers

Answer 1

Rightward and upward

What is One-dimensional motion and two-Dimensional Motion?

Whenever any object moves in one direction only, the motion is known as one-dimensional motion.

Two-dimensional motion is the movement of the object in two directions simultaneously.
Example: A ball thrown at an angle is a two-dimensional motion.

In two-dimensional motion, there are two axes used, generally the x-axis and the y-axis.

Generally, the x-axis is positive towards the rightward direction and negative towards the leftward direction.

Similarly, the y- axis is positive towards the upward direction and negative toward the downward direction.

So, the rightward and upward directions are chosen as positive.

Therefore:

When working with two-dimensional motion, choose the direction of  , the rightward and upward to be a positive direction.

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Related Questions

Consider two vectors a and B and their resultant A+ B the magnitude of the vector a and b respectively 16.2 and 6 and they act at 140 each other

Answers

The magnitude of resultant vector R = A + B is 12.23 if the act at 140° to each other.

We know that,

A + B = √ ( A² + B² + 2AB cos θ )

Given that,

A = 16.2

B = 6

θ = 140°

A + B = √ ( 16.2² + 6² + ( 2 * 16.2 * 6 * cos 140° ) )

R = √ ( 262.44 + 36 - 148.91 )

R = √ 149.52

R = 12.23

The magnitude of a vector is the numeric value of a vector. It gives the individual values vectors along x, y and z axis.

Therefore, the magnitude of resultant vector is 12.23

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what is the acceleration of a ball traveling horizontally wit an initial velocity of 20 meters/seconds and, 2.0 seconds later, a velocity of 30 meters/seconds

Answers

Answer:

\(a=5\ m/s^2\)

Explanation:

Given that,

Initial velocity of the ball, u = 20 m/s

Final velocity, v = 30 m/s

Time, t = 2 seconds

Let us assume to find the acceleration of the ball. The rate at which the velocity of the ball is changing is called the acceleration of the ball. So,

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{30-20}{2}\\\\a=5\ m/s^2\)

So, the acceleration of the ball is \(5\ m/s^2\)

Answer the following Critical Thinking Questions. Each answer is worth 5 points, for a total of 25 points.

A particular star is 20 pc away from the Earth, and its luminosity is 160 times the luminosity of the Sun and has a surface temperature of 4000 K. Its absolute magnitude is -0.66. The temperature of the Sun is 5800 K. Explain/show your work.

What is this star's parallax?
What is this star's spectral class?
What is the wavelength at which this star radiates the most energy?
What is this star's apparent magnitude?
What is this star's radius, in solar radii?

Answers

The distance to the star in parsecs is given as 20 pc.

Using the absolute magnitude (M) and apparent magnitude (m) relation, we can find the star's apparent magnitude:

m - M = -5 + 5 log(d)

where d is the distance to the star in parsecs.

Plugging in the values we have, we get:

m - (-0.66) = -5 + 5 log(20)

m = 3.34

Therefore, this star's apparent magnitude is 3.34.

The star's luminosity is 160 times that of the Sun.

Using the Stefan-Boltzmann law, we can find the star's radius:

L = 4πR²σT⁴

where L is the luminosity, R is the radius, σ is the Stefan-Boltzmann constant, and T is the surface temperature.

We can write the ratio of the star's luminosity to that of the Sun as:

L/Lsun = (R/Rsun)²(T/Tsun)⁴

Plugging in the values we have, we get:

160 = (R/Rsun)²(4000/5800)⁴

Solving for R, we get:

R = 10.7 R⊙

Therefore, this star's radius is 10.7 times that of the Sun.

Using Wien's law, we can find the wavelength at which the star radiates the most energy:

λmax = 2.898 × 10⁶ / T

Plugging in the values we have, we get:

λmax = 724.5 nm

Therefore, this star radiates most of its energy at a wavelength of 724.5 nm.

The star's surface temperature is 4000 K.

Using the Harvard spectral classification system, we can find the star's spectral class based on its surface temperature:

O B A F G K M
50,000 10,000 7500 6000 5200 3700 2400

The star's surface temperature falls in the range of a K-type star.

Therefore, this star's spectral class is K.

Finally, we can use the definition of parallax to find the star's parallax:

p = 1/d

where p is the parallax in arcseconds and d is the distance to the star in parsecs

A scientist asks, "Does a skateboard move faster on sand or gravel?" Which
experiment could answer this question?
A. Weigh 1 gallon of sand, then roll a skateboard on that sand.
B. Roll a skateboard on sand, then roll it on gravel.
C. Push a skateboard down a gravel hill, then push the skateboard on the
road.
O A
OB
O C
HINT
SUBMIT

Answers

Roll a skateboard on sand, then roll it on gravel. - this experiment could answer this question. Hence, option (B) is correct.

What is experiment?

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

The purpose and scope of experiments vary widely, but they all rely on a repeatable process and a logical examination of the outcomes. Natural experimental experiments are also a thing.

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Two forces, one of 50 N and the other ot 30 N, act in oppo-
site directions on a box as shown in the diagram. What is the
mass of the box if its acceleration is 4.0 m/s??

Answers

Answer:

m = 5 [kg]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces in a body must be equal to the product of mass by acceleration.

ΣF = m*a

Where:

F = force [N]

m = mass [kg]

a = acceleration = 4 [m/s^2]

Now replacing:

50 - 30 = m*(4)

m = 5 [kg]

A 9. 0-v battery is connected to a resistor so that there is a 0. 50-a current through the resistor.

Answers

A resistor is connected to a 9.0V battery with a 0.50A current flowing through it. Then the resistance is 18 Ω.

When a 9.0-volt battery is connected to a resistor, an electric field is created that pushes electrons through the resistor. The voltage of the battery represents the potential energy that each electron has when it enters the circuit, while the resistor creates a resistance that slows down the flow of electrons. According to Ohm's law, the current (I) through a resistor is directly proportional to the voltage (V) applied across it and inversely proportional to the resistance (R) of the resistor. The relationship can be expressed as:

I = V / R

In this case, the current is given as 0.50 A, and the voltage of the battery is 9.0 V.

= R

= V / I

= 9.0 V / 0.50 A

= 18 Ω

So the resistor in the circuit has a resistance of 18 ohms, and it is causing a current of 0.50 A to flow through it when the 9.0-volt battery is connected.

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Question - A 9. 0-v battery is connected to a resistor so that there is a 0. 50-a current through the resistor. Then the resistance is?

.You have always been impressed by the speed of the elevators in your apartment building. You wonder about the maximum acceleration for these elevators during normal operation, so you decide to measure it by using your bathroom scale. While the elevator is at rest on the ground floor,you get in, put down your scale, and stand on it. The scale reads 50 kg. You continue standing on the scale when the elevator goes up, carefully watching the reading. During the trip to the 10th floor, the greatest scale reading was

Answers

Answer:

5.51 m/s^2

Explanation:

Initial scale reading = 50 kg  

assume the greatest scale reading = 78.09 kg

Determine the maximum acceleration for these elevators

At rest the weight is = 50 kg

Weight ( F ) = mg = 50 * 9.81 = 490.5 N

At the 10th floor weight = 78.09 kg

Weight at 10th floor ( F ) = 78.09 * 9.81 = 766.11 N

F = change in weight

Change in weight( F ) = ma = 766.11 - 490.5 (we will take the mass as the starting mass as that mass is calculated when the body is at rest)

50 * a = 275.61

Hence the maximum acceleration ( a ) = 275.61 / 50 = 5.51 m/s^2

1) A race car travels east with a forward velocity of 40 m/s and slows at a constant rate
to 16 m/s over 9 S.

Answers

initial velocity=u=40m/sTime=t=9sAcceleration=+16m/s^2

\(\\ \sf\longmapsto v=u+at\)

\(\\ \sf\longmapsto v=40+(16)(9)\)

\(\\ \sf\longmapsto v=40+144\)

\(\\ \sf\longmapsto v=184m/s\)

Explanation:

v=u+atv=40+16×9v=40+144v=184 m/s

Three circuit diagrams are shown. Which statement about the circuit
diagrams is accurate?
Circuit A Circuit B
Circuit C
ER
V
RR,
A. Circuits B and C are the only parallel circuits shown.
O
B. Circuit C is the only parallel circuit shown.
C. Circuit A is the only parallel circuit shown.
a
D. Circuits A and B are the only parallel circuits shown.

Three circuit diagrams are shown. Which statement about the circuitdiagrams is accurate?Circuit A Circuit

Answers

Answer:

option B

Explanation:

parallel circuits have resistors kind of on top of each other (parallel), on the other two circuits the resistors were next to each other, so the only correct option is B

Samir is waiting for a slow reaction to finish. What is the best way to make the reaction go faster?

Question 12 options:

Put it in the fridge where it is cold


Cover it with a blanket so it's dark


Warm it up on the stove


There is nothing you can do to change the speed of the reaction

Answers

In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.

Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct

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Question 2 of 25If the law of conservation of energy applies to a situation, then:A. the system is an open one.B. the output work being done is greater than the work being put into the system.C. the total (PE + KE) before an event is equal to the total (PE+KE) after the event.D. matter is entering and leaving the system.

Answers

ANSWER

C. The total (PE + KE) before an event is equal to the total (PE + KE) after the event.

EXPLANATION

We want to identify the correct option.

The law of conservation of energy is a law that applies only to closed systems and it states that:

In other words, energy cannot be created nor destroyed.

This implies that the total energy (sum of potential and kinetic energy) before an event occurs must be equal to the total energy after the event has occurred.

Therefore, the correct option is option C.

To better understand crash dynamics we have to look at "__________."
A. the law of gravity
B. Bernoulli's principle
C. the laws of motion
D. Archimedes' principle

Answers

To better understand crash dynamics we have to look at "the laws of motion."

The laws of motion

The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.

It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.

Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.

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What is most likely the author’s motive for writing the article? to get the reader to buy digital products to get the reader to support the conversion from analog to digital to get the reader to raise money for digital research to get the reader to understand the two types of signals

Answers

Answer:

Its D

Explanation:

edgen 2 0 2 1

Answer:

D.) To get the reader to understand the two types of signals

Explanation:

Edge, 2022.

(See the attachment below.)

Good luck on the quiz!

<3

What is most likely the authors motive for writing the article? to get the reader to buy digital products

A box is being pushed to the left across a flat and rough surface. Which is a correct description of the forces acting on the box?

A.
The only force acting on the box is the pushing force.
B.
A force is pushing the box to the left, and the force of friction is also pushing the box to the left.
C.
The only force acting on the box is the force of friction.
D.
A force is pushing the box to the left, and the force of friction is pushing the box to the right.

Answers

A force is pushing the box to the left, and the force of friction is also pushing the box to the left. Hence option B is correct.

What is friction?

Friction is defined as the force preventing sliding solid surfaces, fluid layers, and material components from moving relative to one another. When two bodies come into touch and move in relation to one another, they experience friction, a resistive force.

A heavy box that you push will push back at you with an equal and opposite force, thus the harder you push, the stronger the reaction will be until you push hard enough to start the box sliding. An external force known as friction acts counter to the direction of motion.

Thus, a force is pushing the box to the left, and the force of friction is also pushing the box to the left. Hence option B is correct.

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Compare and contrast microscopic and macroscopic energy transfer Give least three comparisons for each

Answers

Answer:

Differences

microscopic refers to substances visible to the naked eye

macroscopic are substances invisible to naked eye

Similarities

both refer to different scales that are useful to determining the size to different compounds.

Explanation:

Ima find more

Homer bikes 0.8 miles south and then 2.4 miles west before he reaches a park path. Along the path he travels 1.2 miles, 51 degrees north of east. What is the magnitude and direction of homers displacement before the reaches the park path?

Answers

Answer:

Explanation:

the answer is 2

Question 1 of 10 Which characteristic of nuclear fission makes it hazardous?
O A. The process destroys every atomic nucleus that goes through it.
O B. The process changes existing atoms into atoms of different elements
C. The process requires very high pressures.
O D. The radioactive wastes it produces can spread to any part of the environment

Answers

Answer:

D.

The radioactive wastes it produces can spread to any part of the environment.

Explanation:

Fission is the name given to the splitting of a heavy nucleus into two medium-mass nuclei. Fission is said to be induced if it results from the absorption of a neutron to form an unstable nucleus that decays by fission. The induced fission usually produces further neutrons accompanying the fission fragments.

Answer:  D. The radioactive wastes it produces can spread to any part of the environment

Explanation:

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V. What speed does the proton gain? (e = 1.60 × 10-19 C , mproton = 1.67 × 10-27 kg)

Answers

Answer:

\(3.1\times 10^{5}m/s\)

Explanation:

The computation of the speed does the proton gain is shown below:

The potential difference is the difference that reflects the work done as per the unit charged

So, the work done should be

= Potential difference × Charge

Given that

Charge on a proton is

= 1.6 × 10^-19 C

Potential difference = 500 V

\(v= \sqrt{\frac{2.q.\Delta V}{m_{p}}} \\\\\\= \sqrt{\frac{2\times 1.6\times 10^{-19}\times 5\times 10^{2}}{1.67\times 10^{-27}}}\)

\(v= \sqrt{9.58\times 10^{10}}m/s \\\\= 3.095\times 10^{5}m/s\\\\\approx 3.1\times 10^{5}m/s\)

Simply we applied the above formulas

Which phrase best completes the diagram?
Drawbacks of Trade Barriers
Less consumer choice
Retaliatory trade barriers
A. Domestic jobs put at risk
B. More competition for domestic industries
O
C. Increased reliance on other countries
D. Reduced economic efficiency

Answers

Answer:D

Explanation:

just got it right

Answer:D

Explanation:

taking the test

A particularly scary roller coaster contains a loop-the-loop inwhich the car and rider are completely upside down. If the radiusof the loop is 22.7 m with what minimum speed must the cartraverse the loop so that the rider does not fall out while upsidedown at the top? Assume the rider is not strapped to the car.

Answers

The forces on the car at the top of the loop are the normal force and the weight, they both points downward. Also the accereation at that point points downward then Newton's second law is:

\(-F_N-F_g=-ma\)

Now, since this is a circular motion the acceleration is a centripetal one and that is given as:

\(a=\frac{v^2}{R}\)

where v is the velocity and R is the radius of the circle. Plugging this in Newton's second law we have:

\(-F_N-F_g=-m\frac{v^2}{R}\)

If the car has the minimum speed to reamin in contact then it would be on the verge of losing contact , this means that Fn=0 at the toop of the loop. Then we have that the equation above:

\(\begin{gathered} -F_N-F_g=-m\frac{v^2}{R} \\ 0-mg=-m\frac{v^2}{R} \\ v=\sqrt[]{gR} \end{gathered}\)

Plugging the values of the acceleration of gravity and the radius of the loop we have:

\(\begin{gathered} v=\sqrt[]{(9.8)(22.7)} \\ v=14.92 \end{gathered}\)

Therefore the minimum velocity is 14.92 meters per second.

write 20 physical Quantities withS.I unit and formula​

Answers

Answer:

HERE IS YOUR ANSWER

Physical quantity => Unit

1)Length=>metre

2)Time=>second

3)Temperature=>Kelvin

4)mass=>kilogram

5)electric current=>ampere

6)luminous intensity=>candela

7)amount of substance=>mole

8)velocity=>m/s

9)acceleration=>m/s²

10)momentum=>kgm/s

11)density=>kg/m³

12)volume=>m³

13)force=>Newton(N)

14)Energy=>Joule(J)

15)Power=>Watt(W)

16)Pressure=>Pascal(Pa) or N/m²

17)Resistance=>ohm

18)Electrical potential=>volt(V)

19)plane angle=>radian

20)solid angle=>steradian

Explanation:

Physical quantity:-units

Force, Weight:-Newton

Frequency:-Hertz.

Electric charge:-Coulomb

Electric potential (Voltage):-Volt.

Inductance:-Henry

.Capacitance:-Farad

Resistance, Impedance, Reactance:-Ohm

Electricalconductance:-Siemens.

Magneticflux:-Weber

Magnetic flux density:-Tesla.

Energy, Work, Hea:- Joule

Power, Radiant flux:-Watt

Angle:- Radian

Radioactivity :-Becquerel

Luminous flux:-leman

explain the methods to determine specific charge of an electron ?​

Answers

The methods to determine the specific charge of an electron are The J. J. Thomson Method and The Millikan Oil Drop Method.

The J. J. Thomson Method

In this method, an electric field is created between two parallel metal plates. Electrons are accelerated by this field from the negative plate to the positive plate. After that, they strike a fluorescent screen. When the electrons are shot through the electric field perpendicular to the magnetic field, they experience the Lorentz force, which is given by the formula: $F= evB$ $F= evB$

When a magnetic field is applied at right angles to an electron beam, it bends the path of the beam into a circular path. The radius of the path of an electron beam in a magnetic field is determined by the relationship:r = mv/eB. As a result, the specific charge of an electron may be calculated from the expression: $e/m = 2V / B^2r^2$

The Millikan Oil Drop Method

This is another technique for determining the specific charge of an electron. The oil drop experiment was first done by Robert A. Millikan in 1909. He did this experiment by suspending charged droplets of oil in a uniform electric field between two parallel plates.

The fall of the oil droplets in the absence of an electric field was also noted. The fall velocity of the oil droplet was determined by measuring the time taken by the oil droplet to pass through a fixed distance between the plates in the absence of an electric field. By measuring the electric field strength, the voltage applied to the plates, and the fall velocity of the oil droplet, the specific charge of the electron was determined.

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The methods to determine the specific charge of an electron are :

The J. J. Thomson Method The Millikan Oil Drop Method.

How do we describe?

In the J. J. Thomson Method, an  electric field is created between two parallel metal plates. Electrons are accelerated by this field from the negative plate to the positive plate. After that, they strike a fluorescent screen.

When the electrons are shot through the electric field perpendicular to the magnetic field, they experience the Lorentz force.

The Millikan Oil Drop Method is an experiment by which is created by suspending charged droplets of oil in a uniform electric field between two parallel plates.

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a vertical spring stretches 0.03m when a 0.20 kg mass is attached to it. what is the spring constant of this spring

Answers

tTe spring constant of the spring, attached with when a mass of 0.20 kg  is 0.059 N/m.

What is spring constant?

The spring constant, k, is a measure of the stiffness of the spring.

To calculate the spring constant of the spring, we use the formula below.

Formula:

k = Fmge............ Equation 1

Where:

k = Spring constant of the springm = Mass attached to the springe = Extensiong = Acceleration due to gravity

From the question,

Given:

m = 0.20 kgg = 9.8 m/s²e = 0.03 m

Susbtitute these values into equation 1

F = 0.2×9.8×0.03F = 0.059 N/m

Hence, the spring constant of the spring is 0.059 N/m.

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Kim was adopted as a baby and raised by loving parents in an enriched environment. Studies have shown that ________

Answers

Answer:

Kim was adopted as a baby and raised by loving parents in an enriched environment. Studies have shown that the correlation between IQ

( intelligence quotient) scores of adopted children and those of their biologically unrelated family members reduce to zero as they grow into adulthood.

Explanation:

Kim was adopted as a baby and raised by loving parents in an enriched environment. Studies have shown that the correlation between IQ

( intelligence quotient) scores of adopted children and those of their biologically unrelated family members reduce to zero as they grow into adulthood.

Also, a loving environment is equally important for a child's upbringing.

A particle with charge +4.20 nC is in a uniform electric field E⃗ directed to the left. The charge is released from rest and moves to the left; after it has moved 6.00 cm, its kinetic energy is +2.20×10−6 J.

What is the work done by the electric force?

Answers

The work done by the electric force is 2.2 x 10⁻⁶ J.

Speed of the particle

The speed of the particle is calculated as follows;

Fd = K.E

where;

F is force of the particled is the distance traveled by the particle

The produce of electric force and the displacement of the particle is equal to work to done on the particle by the electric force.

Also, based on the principle of conservation of energy, the work done done by the electric force is equal to the kinetic energy of the particle.

Thus, the work done by the electric force is 2.2 x 10⁻⁶ J.

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person a and b traveling away from each other. It takes person a 2 hours to travel a full circle, and person b 5 hours to travel a full circle. how much time will it take for a and b to meet?

person a and b traveling away from each other. It takes person a 2 hours to travel a full circle, and

Answers

1/(1/2+1/5) = 10/7 hours

Suppose a radio signal (light) travels from Earth and through space at a speed of 3 × 10^8/ (this is the speed of light in vacuum). How far (in meters) into space did the signal travel during the first 10 minutes?

Answers

Answer:

Explanation:

we know that

s=vt here v is the speed and s is distance covered by the signals

given data

v=3*10^8

t=10 min we have to convert it into seconds

1 minute=60 seconds

so

10 minutes =10*60/1 =600 seconds

now putting the value of v and t we can find the value of s

s=vt

s=3*10^8*600

s=1.8*10^11m

i hope this will help you

Speed is the rate of distance over time.

The signal will travel \(1.8 \times 10^{11}\) meters in the first 10 minutes

The given parameters are:

\(s = 3 \times 10^8\ ms^{-1}\) ---the speed of light

\(t = 10\ min\) -- the time of travel

The relationship between speed, distance (d) and time is:

\(s = \frac dt\)

Make d the subject

\(d = s \times t\)

Substitute values for t and s

\(d = 3 \times 10^8\ ms^{-1} \times 10\ min\)

Convert minutes to seconds

\(d = 3 \times 10^8\ ms^{-1} \times 10 \times 60s\)

So, we have:

\(d = 3 \times 10^8\ m \times 10 \times 60\)

\(d = 18 \times 10^{10}m\)

Rewrite as:

\(d = 1.8 \times 10^{11}m\)

Hence, the signal will travel \(1.8 \times 10^{11}\) meters in the first 10 minutes

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1. What are some of the limitations of using personality inventories to
identify traits of athletes and nonathletes?

Answers

Answer:

There are numerous drawbacks.

Explanation:

It might eliminate candidates who are qualified. There isn't a typical personality that suits the job type for many occupations. These exams can also weed out creative, talented people.

It may lead to inaccurate results. Results aren't always reliable since candidates may give answers based more on what they believe the employer wants than on their genuine personalities.

The test's objective might not be compatible with your recruiting procedure. The majority of the most common tests utilised now weren't created to be used during the employment process. The Myers-Briggs Type Indicator, for instance, was developed for training and career development, not for employment. Because of this, utilising it in the recruiting process could produce biassed findings.

Risks to the law could exist. Claims of discrimination may follow from such evaluations. On the basis that their test discriminated against people with mental conditions and violated the Americans with Disabilities Act, some people have successfully sued companies (ADA). Questions like, "Over the course of the day, do you suffer numerous mood changes?" or "Do you have bipolar disorder or depression?" may prejudice against those with these conditions. Such inquiries on your company's personality test may invite legal action in the future.

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Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?

Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 areopen, i leads e by 30.

Answers

Based on the information, it should be noted that the resistance R is 0.5 Ω.

How to calculate the resistance

When S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:

Z = jωL - 1/(jωC)

Since i leads e by 30°, we can express the phasor relationship as:

I = k * e^(j(ωt + θ))

Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)

Re(Z) = 0

By equating the real parts, we get:

0 = 0 - 1/(120πC)

Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:

Z = R + jωL - 1/(jωC)

Z = R + jωL

Im(Z) = ωL > 0

Substituting the angular frequency and rearranging the inequality, we have:

120πL > 0

L > 0

This condition implies that the inductance L must be greater than zero.

When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:

Z = R + jωL - 1/(jωC)

Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:

I = 0.5 * e^(j(ωt + θ))

By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:

Re(Z) = R

Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R

Therefore, the resistance R is 0.5 Ω.

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7. Using the idea of Impulse, explain why a field goal kicker should 'kick through the ball', meaning extend their foot
as high up as possible at the end of the kick.

Answers

Answer:

Impulse is the amount of force put on an object in a certain amount of time. Therefore when kicking a ball and "kicking through it" it extends the period of time this force is applied in turn increasing its impulse. Impulse is equal to change in momentum. momentum is equal to mass times velocity and since mass of the ball doesn't change therefore the velocity is increased and performance increased.

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