How do I find the magnitude with two coordinates ?

How Do I Find The Magnitude With Two Coordinates ?

Answers

Answer 1

Let the direction are given as follows

[tex]+x = east[/tex]

[tex]-x = west[/tex]

[tex]+y = North[/tex]

[tex]-y = South[/tex]

now for the above displacement

it moves east for 5 m so it is

[tex]x_1 = 5[/tex]

then goes north for 3 m

[tex]y_1 = 3[/tex]

then goes west for 2 m

[tex]x_2 = -2 m[/tex]

now total displacement in East or x direction

[tex]x = x_1 + x_2 = 5 - 2 = 3m[/tex]

total displacement in North of Y direction

[tex]y = 3m[/tex]

so final coordinates are

[tex]x = 3, y = 3[/tex]

Part b)

position vector is given as

[tex]r = x\hat i + y\hat j[/tex]

[tex]r = 3\hat i + 3\hat j[/tex]

so the magnitude of the vector is given as

[tex]|r| = \sqrt{3^2 + 3^2}[/tex]

[tex]|r| = 3\sqrt3[/tex]


Related Questions

determine which of the following must change when pitch gets higher a.amplitude b.frequency c.wavelength d.intensity e.speed of sound waves

Answers

Higher pitch means higher frequency.

But higher frequency also means shorter wavelength, because the product of (frequency) x (wavelength) is the wave-speed, so it doesn't change.

So (b) and (c) must both change.

Answer:

Th Correct Answer is C

Explanation:

Changing Pitch

The four characteristics of the series that influence its frequency are density, diameter, tension, and length. These characteristics are illustrated below: While the length of a sequence is modified, it will reverberate with a distinct wavelength. Lower strings have a greater frequency and therefore more powerful pitch.

which of the following is not a popular surface for a tennis court?
A. wood

B. grass

C. clay

D. Hard court

Answers

The answer is A. wood

because there are three different courts: clay court, grass court, and hard court. wood isn't in there so that would be the answer.

Final answer:

The least popular surface for a tennis court amongst the options given is wood. This is due to its high maintenance, cost, and potential for injuries.

Explanation:

In the context of tennis courts, the most commonly used surfaces are grass, clay, and hard court. These surfaces are popular due to their specific impacts on the speed, spin, and bounce of the ball, thus influencing the style of play. On the other hand, wood is not a popular or commonly used surface for a tennis court. While it is possible to play tennis on a wooden court, the maintenance and cost, coupled with the potential for injuries due to slippery surface, make it an impractical option.

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A centrifuge was used to separate into it’s components. What conclusions out the sample can be formed based on the technique used?

Answers

Final answer:

A centrifuge is used to separate specimens of different densities. It applies a centripetal force to cause the denser components to separate from the less dense ones. This technique can be used for various purposes, including cell fractionation and separating bacteria, viruses, and proteins based on their density.

Explanation:

A centrifuge is a rotating device used to separate specimens of different densities. It operates by applying a centripetal force, which causes the denser components to separate from the less dense components. Based on the technique used, one can conclude that the sample was separated into its components based on differences in density.

For example, in the case of cell fractionation, a centrifuge can be used to separate subcellular structures by differences in mass. The more massive structures settle at the bottom of the centrifuge tube first, while the less massive ones remain suspended for longer. This allows for the isolation and analysis of different organelles and cellular substructures to determine their functions.

In other applications, such as in the separation of bacteria, viruses, and proteins, a centrifuge can separate these components based on their density. The heavier components settle at the bottom while the lighter ones remain suspended. This enables the isolation and study of these components individually.

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Physic pressure chapter

Answers

i thing its d.) if i am wrong sorry ) iam from different county so )

The simulation kept track of the variables and automatically recorded data on object displacement, velocity, and momentum. If the trials were run on a real track with real gliders, using stopwatches and meter sticks for measurement, how might the data compare? Check all that apply.

- There would be variables that would be hard to control, leading to less reliable data.
- The data would be just as valid if it were recorded with a stopwatch.
- Meter sticks may lack precision or may be read incorrectly.
- Real glider data may vary since real collisions may involve loss of energy.
- Human error in recording or plotting the data could be a factor.
- Controlling real glider velocities by hand would be just as accurate as simulation controls.

Answers

We have that all that apply. are

There would be variables that would be hard to control, leading to less reliable data. Meter sticks may lack precision or may be read incorrectly.Real glider data may vary since real collisions may involve loss of energy. Human error in recording or plotting the data could be a factor.

From the question we are told that

-There would be variables that would be hard to control, leading to less reliable data.

- The data would be just as valid if it were recorded with a stopwatch.

- Meter sticks may lack precision or may be read incorrectly.

- Real glider data may vary since real collisions may involve loss of energy.

- Human error in recording or plotting the data could be a factor.

- Controlling real glider velocities by hand would be just as accurate as simulation controls.

Generally

Practical exercise are made to have error that is why they are done over and over again and the average score taken as the main score.

Haven done this act it goes to show us that the Results is inaccurate or not ideal which in essence leaves us with these decision as  the ones that apply

There would be variables that would be hard to control, leading to less reliable data. Meter sticks may lack precision or may be read incorrectly.Real glider data may vary since real collisions may involve loss of energy. - Human error in recording or plotting the data could be a factor.

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Final answer:

Running trials with real gliders and manual measurement tools like stopwatches and meter sticks may result in data that is less reliable compared to the data recorded in the simulation. Various factors such as difficult-to-control variables, measurement errors, and variations in real glider collisions can impact the accuracy and consistency of the data.

Explanation:

The data obtained from running trials on a real track with real gliders using stopwatches and meter sticks for measurement may compare differently to the data recorded in the simulation. Here are the possible comparisons:

There would be variables that would be hard to control, which could lead to less reliable data. This is because in a real-life scenario, there are external factors that may affect the measurements, such as air resistance or uneven surfaces.

Meter sticks may lack precision or may be read incorrectly. Human error in measuring the displacement of objects could introduce inaccuracies in the data.

Real glider data may vary compared to the simulation due to loss of energy in real collisions. In a simulation, the loss of energy may not be accurately represented, leading to differences in momentum calculations.

Human error in recording or plotting the data could be a factor. Even with careful measurements, there is always a potential for human error, which may affect the accuracy of the recorded data.

2) In order to generate electricity from mechanical energy, one essential element needed to transform the energy into electrical energy is

Answers

Answer:

In order to generate the electricity from mechanical energy, the generator is needed.

The generator, which converts Mechanical energy in to Electrical energy, by magneto induction, which is when voltage induced by change in magnetic field.

if you have a 1.5 L container of tea and the label state that the container contains 1.2 g of sugar grams of sugar what's the concentrated of sugar in the tea

Answers

Given data

mass of solute (m) = 1.2 g ,

Volume of solution  = 1.5 L ,

                                 = 1.5 × 1000 mL

                                 = 1500 mL ,

What is the concentration of solution = ?

                                 concentration = (mass of solute) ÷ (100 mL of solution)

                                                         = (1.2) ÷ (1500 mL of solution)

Note: remember to divide both numerator and denominator by 15 to get concentration per 100 ml

                    Therefore concentration  = 0.1 /100 mL ;

The concentration of sugar in a tea is  0.1/100 mL

The more energy a particle has, the more it will move. which statement is true about the energy level of liquids ?

Answers

The more energy a particle has the more it will move faster . If you take some cold solid material and add energy to it (heat it up) the particles in it will rattle around more. Usually at some point they will rattle so much that they break up the regular solid pattern and start sliding around as a liquid.

what is the measurement of how fast an object moves relative to a reference point?

Answers

The measurement of how fast an object moves relative to a reference point is speed, or motion. Hope this helped:)

Final answer:

The measurement of an object's speed relative to a reference point is termed relative speed, which all observers can agree upon when accounting for distance and elapsed time. High-speed measurements can vary due to relativistic effects such as length contraction. Velocity includes both speed and direction of motion.

Explanation:

The measurement of how fast an object moves relative to a reference point is known as relative speed. This concept is crucial because the measurement of speed depends on the observer's frame of reference. When determining the relative speed of an object, both the distance the object travels and the time it takes to cover that distance are taken into consideration. The equation for relative speed is the distance traveled divided by the elapsed time, which all observers can agree upon, regardless of their individual motion.

Another important factor to consider at high speeds, especially those approaching the speed of light, is how these measurements can differ due to relativistic effects. According to the theory of relativity, as described by the equation 1 - v²/c², an observer at rest would perceive the length of an object moving at speeds close to the speed of light as significantly shortened. This length contraction affects how distances and, consequently, speeds are measured.

In the context of everyday speeds, we often discuss velocity, which is the speed of an object with the direction of its motion considered. If an object is said to have a speed of 50 mph, that's its scalar magnitude. However, if that object is moving northeast at 50 mph, its velocity is defined, combining both magnitude and direction.

what type of motion does an object traveling in a horizontal vector have?

Answers

Accelerating objects are objects which are changing their velocity - either the speed (i.e., magnitude of the velocity vector) or the direction. An object undergoing uniform circular motion is moving with a constant speed. Hope you find this helpful

A 10n force is applied to a 25kg mass to slide it across a frictional surface. What is the acceleration of the mass?

Answers

Force (in Newtons) equals mass (in kilograms) times acceleration (in meters per second squared).


Plug in the given force and mass to the equation and solve for acceleration:

10=25a

0.4m/s2=a


Hope this helps!!

Answer: a = 0.4m/s^2 - 9.8*c where c is the coefficient of kinetic friction of the surface

Explanation: We know that, by the second Newton's law, a = F/m

where a is the acceleration, F is the net force and m is the mass of the object.

Then, if the surface is frictionless, the total force applied in the object is 10N, and the mass of the object is 25kg, so the acceleration is:

a =10N/25kg = 0.4m/s^2.

But if the surface is frictional, there will be a force of friction applied in the mass (this depends on the coefficient of friction and the weight of the mass), this means that the acceleration will be reduced.

If = -(9.8*25)*c

where c is a number that is bigger than 0 and smaller than 1, is called the coefficient of kinetic friction.

So the total force is now:

F = (10 - 9.8*25*c)

Then, the acceleration in a frictional surface is equal to:

a = (10 - 9.8*25*c)/25 = 0.4m/s^2 - 9.8*c

Satellite A orbits the earth at a height 2.00 times the earth's radius.Satellite B orbits the earth at a height 3.00 times the earth's radiusWhat is the ratio of the period of Satellite B to the period of Satellite A?

Answers

Answer:[tex]\sqrt 3 :\sqrt 2[/tex]

From Kepler's law: The cube of radius of the orbit of satellite is proportional to square of time period of orbit.

[tex]r^3=\frac{T^2 Gm}{4\pi ^2}[/tex]

where, r is the radius of the orbit of satellite, T is the time period of satellite, G is the gravitational constant, m is the mass of the planet.

R is the radius of Earth.

[tex]\frac{r_A^3}{r_B^3} = \frac{T_A^2}{T_B^2} \\ \Rightarrow \frac{2R}{3R}=\frac{T_A^2}{T_B^2} \Rightarrow \frac{T_B}{T_A}=\sqrt{\frac{3}{2}} [/tex]

Hence, the ratio of the period of Satellite B to the period of Satellite A is [tex]\sqrt 3 :\sqrt 2[/tex]

Final answer:

The ratio of the period of Satellite B to the period of Satellite A is approximately 1.89.

Explanation:

In order to calculate the ratio of the periods of Satellite B to Satellite A, we need to understand that the period of a satellite is related to the radius of its orbit. According to Kepler's third law, the square of the period of a satellite is directly proportional to the cube of the radius of its orbit.

Let's define the radius of Earth as R and the radius of Satellite A's orbit as RA. From the given information, RA = 2R and the radius of Satellite B's orbit as RB = 3R.

The ratio of the periods can be expressed as:

(TB/TA)² = (RB/RA)³

Substituting the values, we get:

(TB/TA)² = (3/2)³ = 27/8

Taking the square root of both sides, we find:

TB/TA = [tex]\sqrt{(27/8)}[/tex] ≈ 1.89

in Which medium would sound travel the fastest,water at 10 degrees Celsius or water ar 25 degrees Celsius?

Answers

I believe it is 25 degrees Celsius. sound moves faster in higher temp.

Sound travels faster in water at 10 degrees Celsius compare to water at 25 degrees Celsius.

What is mechanical wave?

An oscillation of matter known as a mechanical wave is what is responsible for the transmission of energy via a medium.

The transmission medium sets a restriction on how far a wave can travel. In this instance, there is almost little translational motion and the oscillating material rotates around a fixed point. The measurement of mechanical waves, which is determined by displacement divided by wavelength, is one intriguing aspect of them.

Sound is  a mechanical waves whose speed is depends on the density of the medium. As water at 10 degrees Celsius is denser than water at 25 degrees Celsius, sound travels faster in water at 10 degrees Celsius compare to water at 25 degrees Celsius.

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Which of these is studied using science?

a. thirteen is an unlucky number
b. finding a four leaf clover is lucky
c. breaking a mirror brings bad weather
d. sudden fall in air pressure affects weather

Answers

d. sudden fall in air pressure affects weather...common man

If calvin pushes a lawnmower 20 meters with a force of 2n. how much work has he done?

Answers

Answer:

40 Joules

Explanation:

Work done is directly proportional to force and displacement. Use this formula to determine the work:

(work) = (force) x (displacement) = (2 N) x (20 m) = 40 Joules

2in+3in+4in+4in+6in+7in calculate the area and perimeter of each shape

Answers

Answer:

Let "a", "b" and "с"  be sides of the triangle ("с" is the longest side).

The triangle will be:

right if       a² + b² = c²

аcute if     a² + b² > c²    

obtuse if   a² + b² < c²    

a.

a=3, b=4 and c=5

a² + b² = 3² + 4² = 9 + 16 = 25   and   c² = 5² = 25

25 = 25   ⇒  right triangle.

b.

a=5, b=6 and c=7

a² + b² = 5² + 6² = 25 + 36 = 61   and   c² = 7² = 49

61 > 49   ⇒  аcute triangle.

c.

a=8, b=9 and c=12

a² + b² = 8² + 9² = 64 + 81 = 145   and   c² = 12² = 144

145 > 144   ⇒  аcute triangle.

Differentiate between the factor(s) that affect inertia and momentum.

Answers

Answer:

Inertia relates directly to an object's mass. It is its inherent property and expresses how much force is needed to bring the object to a certain level of acceleration. It is the sole factor.

Momentum relates proportionally to two factors: mass and velocity. As such, momentum is not an inherent property of an object but a measure dependent on it current velocity, in addition to its mass.

Answer:

Inertia relates directly to an object's mass. It is its inherent property and expresses how much force is needed to bring the object to a certain level of acceleration. It is the sole factor.

rays traveling parallel to the principle axis of a concave mirror will reflect out through the mirrors focus?
a. true
b. false

Answers

Answer:

True

Explanation:

When a ray travelling parallel to the principle axis of a concave mirror then the light ray reflect out through the mirrors and passing through the focus.

When a light ray travelling through focus of a concave mirror then after reflection the light ray reflect out through the mirror and  go parallel to principle axis.

Therefore, rays travelling parallel to the principle axis of a  concave mirror will reflect out through the mirrors focus.

It is true.

Answer:

true

Explanation:

The two waves shown here are the same distance from point X and are traveling toward each other.


What is the amplitude of the resulting wave when the two waves meet at point X?

0.0 cm
1.0 cm
2.0 cm
4.0 cm

Answers

Figure missing to find amplitude

Here I try to explain, to find amplitude.

It is the maximum displacement of the wave. The resultant amplitude of two inferring waves is equal to sum of those two waves displacements at the same location. If they are in opposite direction destructive inference occurs.



Answer:

The answer to your question is 0.0 cm

A 50kg Cheetah has a kinetic energy of 18,000J. What is its velocity?

Answers

Final answer:

The velocity of a 50kg cheetah with a kinetic energy of 18,000 J is approximately 26.83 m/s, calculated using the formula for kinetic energy = 1/2 * m * v^2.

Explanation:

The question concerns the relationship between the kinetic energy, mass, and velocity of an object, specifically a 50kg cheetah. Kinetic Energy is given by the formula 1/2 * m * v^2, where m is the mass and v is the velocity. Specifically, in this scenario, the kinetic energy of 18,000 J (Joules) equals 1/2 * 50 kg * v^2 . Solving this equation for velocity, we have v = sqrt((2 * Kinetic Energy) / m) = sqrt((2 * 18000) / 50) = sqrt(720) ≈ 26.83 m/s. Therefore, the cheetah's velocity would be approximately 26.83 meters per second.

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Discuss the advantages and disadvantages of series circuits compared to parallel circuits. Give an example of where each type of circuit could be used.

Answers

Advantage of series circuit :

1. allows all the components in the circuit to have same current flowing through them.

2. one switch is enough to turn off all the components in the circuit in series.

3. make the circuit small by using smaller length of wire.


Disadvantages of series circuit :

1. If one component becomes defective , it does not allow other components to operate, since they share same current.

2. all components can not have same voltage across them.


A boy throws a water balloon at his friend. If the work done on the balloon is 20j and it has a mass of 1kg what is the speed of the balloon

Answers

Answer:

The speed of of the balloon is about 6.32 m/s

Explanation:

Assuming all of the work done is transformed into the balloon's kinetic energy, we can use the formula for the kinetic energy to answer the question:

[tex]E_k=\frac{1}{2}mv^2\\20J = \frac{1}{2}1kg\cdot v^2\implies v=\pm\sqrt{40\frac{m^2}{s^2}}\approx\pm6.32\frac{m}{s}[/tex]

Speed is the absolute value of velocity, so the speed of the balloon is about 6.32 m/s

A spring with k = 500 N/m stores 704 J. How far is it extended from the equilibrium position

Answers

Given that:

k = 500 n/m,

work (W) = 704 J

spring extension (x) = ?

         we know that,

                      Work = (1/2) k x²

                          704 = (1/2) × 500 × x²

                            x = 1.67 m

A spring stretched for 1.67 m distance.

Compare how pressure and temperature change with depth inside Earth.

Answers

Final answer:

Pressure increases with depth inside Earth due to the weight of the fluid above, and temperature also increases as you go deeper, due to the Earth's internal heat and geothermal gradient.

Explanation:

In a fluid, pressure increases with depth. This is due to the weight of the fluid above pushing down on the fluid below. As you go deeper inside the Earth, both pressure and temperature increase. The increase in pressure is due to the weight of the Earth's layers above, while the increase in temperature is a result of the Earth's internal heat and the geothermal gradient.

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The electromagnetic waves that have the lowest frequencies are called a. radio waves. c. ultraviolet waves. b. microwaves. d. x-rays. Please select the best answer from the choices provided A B C D

Answers

the answer to that would be radio waves which would be answer A

1) Harold pushed a 10 kg box to the right with 7 Newtons of force. Jerome pulled the same box to the right with 7 Newtons of force. Are the forces on the box balanced? Will the box accelerate?

Answers

Given data:

mass of box = 10 kg,

Force (F1) = 7 N, (push towards rightside)

Force (F2) = 7 N (Pulled towards right side)

It is clear from the question that the two forces are acting in the same direction, so the box will accelerates.

Total force(F) = 7+7 = 14N.

According to Newtons II law F=m.a

                                                 14   = 10 × a

                                                     a = 1.4 m/s2

The box accelerates with 1.4 m/s2

which color had shortest wavelength

Answers

the color violet has the shortest wavelength!

Answer: Violet! :D

Have a nice day :3

Edson exercises in sets that are each t minutes long. He does 6 sets of push-ups, 3 sets of pull-ups, and 4 sets of sit-ups. Use an expression to represent the time it takes Edson to exercise as the sum of three different terms. Simplify the expression. Enter your answer in the box. The time it takes Edison to exercise is equal to t.

Answers

edson takes 130 minutes of exersise



step by step answer:

10 x 13 = 130

Answer:

The expression would be 13t.

Explanation:

We know that:

Each set takes t minutes to be done.Edson does three types of exercises with different sets: 6, 3 and 4.

Basically, we have to multiply each set by t minutes.

We have:

6 sets of push-ups: t + t + t + t + t + t = 6t3 sets of pull-ups: t + t + t = 3t4 sets of sit-ups: t + t + t + t = 4t

The total amount of time considering all sets is 6t + 3t + 4t = 13t. In other words, Edson did 13 sets, if one set takes t minutes, then the 13 sets takes 13t minutes.

What is the minimum body mass index for obesity

Answers

overweight:25 to 30, obese: over 30

Answer:

30.1

Explanation:

The BMI classify people in underweight, normal weight, overweight and obesity, based exclusively on the individual's mass and height. The following classification are commonly accepted: underweight below 18.5 [tex]\frac{kg}{m^2}[/tex], normal weight: 18.5 to 25, overweight: 25 to 30 , obese: more than 30.

Define the term “force”.

Answers

Energy that is applied to an object.

--TheOneandOnly003

The Jedi have the force. it flows through all things. Joking it will change the motion of an object

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