I went for a walk the other day. i went four avenues east (0.80 miles), then twenty-four streets south (1.20 miles), then one avenue west (0.20 miles), and finally eight streets north (0.40 miles). a. what distance did i travel? b. what's my resultant displacement (magnitude and direction relative to due east)?

Answers

Answer 1

By using vector

a. the distance traveled is 2.6 miles

b. the resultant displacement is s = ( 0.6 i - 0.8 j ) miles
the magnitude is |s| = 0.6 miles

We need to know about vectors to solve this problem. Vector has magnitude and also direction. Displacement is included in vector. It can be written as

s = sx i + sy j + sz k

where s is displacement, sx is displacement on x-axis, sy is displacement on y-axis and sz us displacement on z-axis.

From the question above, we know that

east = positive x

south = negative y

west = negative x

north = positive y

s1 = 0.8 i

s2 = -1.2 j

s3 = -0.2 i

s3 = 0.4 j

The distance traveled is

s = s1 + s2 + s3 + s4

s = 0.8 + 1.2 + 0.2 + 0.4

s = 2.6 miles

The resultant displacement is

s = s1 + s2 + s3 + s4

s = 0.8 i -1.2 j -0.2 i + 0.4 j

s = ( 0.6 i - 0.8 j ) miles

The magnitude is

|s| = √sx²

|s| = √0.6²

|s| = 0.6 miles

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Related Questions

Predict how monarch butterfly populations may compare over time in two locations with very different temperatures.

Answers

Answer:

they will increase why because they go from warm cold warm meaning they have to adapt back to the previous location

Explanation:


A worker leaves home at 9:00 AM, travels 40 km to the office, and then returns home at 5:00 PM. What is the magnitude of the worker's displacement during this 8-hour span of time?

Answers

Answer:

The answer is 0km

Explanation:

Children are sled riding on a hill One little girl pulls her sled back up the hill and does 379.5 joules of work while pulling it back up the 173 meter hill What amount of force did she exert on the sled?

Answers

Answer:

2.2N

Explanation:

Given parameters:

Work done  = 379.5J

Height  = 173m

Unknown:

Amount of force exerted on the sled  = ?

Solution:

The amount of force she exerted on the sled is the same as her weight.

Work done is the force applied to move a body through a distance.

      Work done  = mgh

m is the mass

g is the acceleration due to gravity

h is the height

     mg  = weight;

        Work done  = weight x h

           379.5 = weight  x  173

           weight  = \(\frac{379.5}{173}\)   = 2.2N

All of the following are basic components of a masonry woodburning fireplace except
A)
a throat.
B)
a heat circulator.
C)
a smoke shelf.
D)
a damper.

Answers

The correct answer is B) a heat circulator.

A masonry woodburning fireplace typically includes the following basic components:

A) a throat: The throat is the narrow opening above the firebox that connects it to the flue. It helps direct the flow of smoke and gases.

C) a smoke shelf: The smoke shelf is a horizontal ledge located at the back of the fireplace, just above the firebox. It helps collect and redirect falling debris and prevents downdrafts.

D) a damper: The damper is a movable metal plate located in the throat or flue. It can be opened or closed to control the airflow and regulate the intensity of the fire.

A heat circulator, on the other hand, is not typically a component of a masonry woodburning fireplace. It refers to a device or system used to circulate warm air throughout a room or building, but it is not directly related to the fireplace itself.

What is the type of radioactive decay represented by the equation above? A. Gamma B. Fusion C. Alpha D. Fission 40. Alberta uses clean coal technology. This means that the coal has a lower i content than coal in other parts of Canada, which results in reduced ii The statement above is completed correctly by the information in row olla sdf to ridW Row i A. sulfur greenhouse gas emissions acid deposition sulfur carbon greenhouse gas emissions acid deposition carbon B. C. D. 29. Which of the following graphs depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth? A. Field Strength (N/kg) C. Field Strength (N/kg) Mass (kg) Mass (kg) B. Field Strength (N/kg) D. Field Strength (N/kg) Mass (kg) CADLC 30. Which of the following sequences of colours represents the changing temperatu from the surface to the atmosphere of the sun? a A. Red, orange, yellow, blue B. Yellow, red, orange, blue C. Orange, yellow, blue, red D. Blue, yellow, orange, red 1. When a star undergoes a blue shift, the star is A. moving away from an observer B. moving towards an observer C. moving parallel to an observer D. stationary Mass (kg)

Answers

The sun is Yellow, red, orange, and blue. Therefore option B is correct.

The star is moving toward an observer. Therefore option B is correct.

39. The type of radioactive decay represented by the equation provided Gamma. Therefore option A is correct.

40. The statement is completed correctly by the information which states that the coal in Alberta has a lower carbon content than coal in other parts of Canada, resulting in reduced greenhouse gas emissions.

29. graph B depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth.

30. The correct sequence of colors representing the changing temperature from the surface to the atmosphere of the sun is Yellow, red, orange, and blue. Therefore option B is correct.

1. When a star undergoes a blue shift, it indicates that the star is moving toward an observer. Therefore option B is correct.

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How many laws of newton are there?

Answers

Answer:

There are three laws of newton

HELP PLS RN

A projectile is shot horizontally off a cliff at a speed of 44 m/s. It hits the ground 2 seconds
later.
How high is the cliff, in meters?

Answers

The projectile was 1724.8 meters high short horizontally. Any object sent into space with only gravity acting on it is considered a projectile.

What are some examples of a projectile?

A projectile is any object that is cast, fired, launched, heaved, hurled, pitched, tossed, or flung. Throwing a ball straight up, kicking a ball and imparting momentum at an angle to the horizontal, or simply letting something fall freely are examples of projectile motion.

Calculation:

Cliff at speed of 44m/s

given time is 2 second

H equals u 2 sin 2 2 g.

H = 44 × 2 × 1 × 2 × 9.8

H = 1724.8 meters.

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suppose a charge -6q is suspended inside a cavity in an electrically neutral cylindrical conductor. what is the charge induced on the interior surface?

Answers

The charge induced on the interior surface of the electrically neutral cylindrical conductor is +6q.

To find the charge induced on the interior surface of the electrically neutral cylindrical conductor with a suspended charge of -6q, we can follow these steps:

1. First, consider that the total charge within the cavity must be conserved, meaning the sum of the charges inside the cavity should be constant.

2. In this case, the suspended charge inside the cavity is -6q.

3. Since the cylindrical conductor is electrically neutral, it means that the total charge of the conductor is zero.

4. To maintain electrical neutrality and satisfy the conservation of charge, the charge induced on the interior surface of the conductor must be equal in magnitude but opposite in sign to the suspended charge.

5. Therefore, the charge induced on the interior surface is +6q.

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How does the Flash run faster than light if the law is "Thy shall not go faster than light"

Answers

Answer: He's a superhero in a fictional world

Explanation: Superheroes, such as Superman and Flash, defy physics because they were created as a form of entertainment. The DC world isn't realistic. Don't think too much on it.

how do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun? explain how the correspondence principle applies here.

Answers

The movement occurs as . Each orbit has a different energy, and electrons can move to other orbits by emitting or absorbing energy, which is also quantized.

The correspondence principle in physics states that the behavior of systems described by quantum mechanics theory reproduces classical physics in the limit of large quantum numbers.Bohr's correspondence principle is best understood as the statement that each allowed quantum transition between stationary states corresponds to one harmonic component of classical motion, according to the selection rule interpretation.

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A car starting from rest accelerates at a rate of 8.0 m/s/s. What is its final speed at the end of 4.0 seconds?

Answers

Final speed is 32 m/s.

When energy is added to a wave, how can the wave change?.

Answers

Answer:

When energy is added to a wave How can the wave change? The energy transported by a wave is directly proportional to the square of the amplitude. So whatever change occurs in the amplitude, the square of that effect impacts the energy.

Explanation:

light from a laser of wavelength 780 nm falls on a diffraction grating containing 3300 lines per centimeter. what are the angles of the principle maxima?

Answers

The required angle of principle maxima when wavelength and diffraction grating are given is calculated to be 15.07°.

The wavelength is given as 780 nm = 780 × 10⁻⁹ m

It is given that the diffraction grating contains 3300 lines per centimetre.

Distance between the slits d = 1 cm/3300 lines = 10⁻² m/3300 lines = 3×10⁻⁶ m

The angles of principle maxima are to be found out.

We know that,

d sin θ = m λ

where,

d is the distance between slits

θ is the angle with respect to the path of the incident light

m is the order of interference

sin θ = m λ/d

θ = sin⁻¹(m λ/d) =  sin⁻¹[(1× 780 × 10⁻⁹)/(3×10⁻⁶)] = sin⁻¹ (26× 10⁻²) = sin⁻¹(0.26) = 15.07°

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A 250 cm wire carrying a current of 9.0 A is at right angles to a uniform magnetic field. The force acting on the wire is 1.20N . What is the strength of the magnetic field

Answers

Answer:

F = I L B     describes the perpendicular force on a wire of length L in a uniform field B

B = F / (I L) = 1.2 / (9 * 2.5) = .053 Tesla

An eraser is tied to a string swung in a horizontal circle. Identify the type of force which causes this object to travel along a circular path.

Answers

Answer:

A centripetal force

Explanation:

The type of force in the given scenario is tension. The correct option is c.

What is tension force?

Tension is defined in physics as the pulling force conveyed axially by a string, cable, loop, or similar material, or by every end of a rod, truss member, or similar three-dimensional object.

Tension can also be defined as the action-reaction pair of forces acting at each end of said elements.

Newton's second law states that the tension in the rope must equal the weight of the backed mass.

Tension, the normal force, and friction are all examples of contact forces.

Since the weight is not moving, the acceleration is zero. Even if the acceleration is not zero, this equals zero.

Thus, the correct option is c.

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Your question seems incomplete, the missing options are:

a) gravityb) appliedc) tensiond) normal

scientific thinking usually starts with what?

Answers

Answer:

Ask a question.

Explanation:

Your question is the basis of any theory.

Explain how inductive reasoning is inferior to deductive reasoning in establishing theory.

Answers

Answer: Created Fall 2016 by Ronald Wilson Inductive reasoning uses a set of specific observations to reach an overarching conclusion; it is the opposite of deductive reasoning. So, a few particular premises create a pattern which gives way to a broad idea that is likely true.

Explanation: No explanation lol. But I hope this is helpful!

A 3.9 kg crate is accelerated from 7.0 m/s to 9.5 m/s. What is the amount of work needed to accelerate the crate to the nearest tenth of a joule?

Answers

Force equals mass times acceleration

In a sugar factory bagasse (the remains of the cane after the juice is extracted) is burned to provide electricity. The types of energy involved are W thermal energy X chemical energy Y electrical energy Z kinetic energy. In what order are these forms of energy converted in this process?A) WXZYB) XWZYC) WZXYD ZXWY

Answers

Given:

Thermal energy is denoted by W

Chemical energy is denoted by X

Electrical energy is denoted by Y

Kinetic energy is denoted by Z

To find the order of energy while converting bagasse to electricity.

Explanation:

The bagasse has chemical energy stored in it.

The bagasse is burned, so chemical energy gets converted into thermal energy.

The thermal energy gets converted into kinetic energy.

The kinetic results in the motion of electrons.

Thus, producing electrical energy.

Hence, the conversion order is XWZY

Even though you praise your dog for sitting inside on his bed and chewing the bone you gave him, your dog insists on going outside and burying his bone. This is MOST likely an example of:

Answers

Answer:

dog

Explanation:

What is the formula for impulse and momentum?

Answers

Answer: p = mv

Explanation:  momentum(p) is equal to mass(m) and velocity(v).

What are the units for electric power?
A. Ohms
B. Watts
C. Volts
O D. Coulombs per second

Answers

Answer:

watts !

Explanation:

the answer is b. blah blah blah filling out space

The answer will be C. Volts

How far away is a lightning strike if you hear the thunderclap 6.0 s after you see the lightning bolt strike? (vsound = 340 m/s, vlight = 3.0 × 10^8 m/s)

Answers

The lightning strike is approximately 2 kilometers away if you hear the thunderclap 6.0 seconds after seeing the lightning bolt.

When lightning strikes, it produces both light and sound waves. Light waves travel at a much faster speed than sound waves, so we see the lightning before we hear the thunderclap. The speed of sound in air is approximately 340 m/s. To calculate the distance of the lightning strike, we can use the formula:
distance = speed x time
If we know that it took 6.0 seconds for the thunderclap to reach us, we can multiply this time by the speed of sound to find the distance.
distance = 340 m/s x 6.0 s = 2040 m
However, this distance only accounts for the time it took for the sound to reach us. The lightning bolt itself also has to travel from its location to our eyes, but we can assume that it travels at the speed of light, which is much faster than the speed of sound. Therefore, we can ignore the time it takes for the lightning to reach us and conclude that the lightning strike is approximately 2 kilometers away.

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Please answer correctly.

Will give the brainliest!

Urgent!!!​

Please answer correctly.Will give the brainliest!Urgent!!!

Answers

Answer:

A. Piccolo

B. The flute would usually have the highest pitch, but because the piccolo is half the size of a flute, it's higher pitched. The piccolo in C has a range from D5 – C8 which is pretty high pitched. This means that the piccolo's range is an octave above that of the flute.

C. The human ear naturally picks out higher notes, so when piccolos play extremely high, we can hear them more easily than the other instruments in a band or orchestra.

D. I'm sorry but I don't know this one.

An object launched at 65 degrees from the horizontal would have the same range (distance travelled) as an object launched from? Write only the WHOLE number with no units (example: 65)

Answers

An object launched at 65° from the horizontal would have the same range (distance travelled) as an object launched at 25° from the horizontal.

The greatest range you can get when you launch a projectile is to aim it at 45° above the horizon.  If you change that angle by something, then the range is shorter by the same amount if you increse OR decrease the angle by the same something.

65° = 45° plus 20°.  So the range will be the same if you launch at an angle of (45° minus 20°).  That's 25°.

What is the acceleration of a boat that takes 25 seconds to go from 5 miles per hour to 15 miles per hour

What is the acceleration of a boat that takes 25 seconds to go from 5 miles per hour to 15 miles per

Answers

Answer:

It should be 75 seconds

Explanation:

Because if it takes 25 seconds from 0 to 5 just multiply by 3

When a nucleus of 235U undergoes fission, it breaks into two smaller, more tightly bound fragments. Calculate the binding energy per nucleon for 235U and for the fission product 137Cs .

Answers

When a nucleus of 235u undergoes fission, it breaks into two smaller, more tightly bound fragments. The binding energy per nucleon for 235-U is 7.6 MeV and 137-Cs is 8.39 MeV.

In experimental physics, nuclear binding energy is the minimal amount of energy needed to separate an atom's nucleus into its component protons and neutrons, also known as nucleons.

The following equation provides the binding energy of a nucleus:

BE = Δmc² in which;

BE = Energy bound

Mass defect = m.

c = the speed of light = 931.49 MeV/u

For 235U:

A = 235

Δm = 1.9150664

BE = 1.9150664 x 931.49 MeV/u.

= BE = 1783.8648 MeV

The formula  of the nucleon's binding energy is BE/A

= BE/A = 235 x 1738.648 MeV

= BE/A = 7.6 MeV

The binding energy for 137-Cs will be:

Mass defect m = 1.23383 unit

= BE=1.123383 u x 31.49 MeV/u = 1149.3003 MeV

Additionally, the binding energy per nucleon, BE/A =

= A = 137

= BE/A = 137 x 1149.3003 MeV

= BE/A = 8.39 MeV

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A freight train has a mass of 270, 700 kg and has an acceleration of 40 m/s2. How much force is acting on the train? Formula:

Answers

Answer:

1.08 x 10⁷N

Explanation:

Given parameters:

Mass of freight train  = 270700kg

Acceleration = 40m/s²

Unknown:

Force acting on the train = ?

Solution:

From Newton's second law of motion, we know that:

       Force  = mass x acceleration

So;

        Force  = 270700 x 40   = 1.08 x 10⁷N

An electron has an initial velocity of 6760000
s
m

to the right in a uniform 475000
C
N

electric field that is also directed to the right. a) How far does the electron travel before reversing its direction? m b) How long does the electron travel before reversing its direction? s c) What is the electron's speed when it returns to a point that is halfway between the starting point and the point where the electron reversed direction?
s
m

Answers

(a) The distance traveled by the electron is 2.74 x 10⁻⁴ m.

(b) The time of motion of the electron is 8.1 x 10⁻¹¹ s.

(c) The speed of the electron when it is halfway between the starting point and the point where the electron reversed direction is 4.78 x 10⁶ m/s.

What is the distance traveled by the electron?

(a) The distance traveled by the electron is calculated by applying the following formula.

The acceleration of the electron;

F = ma

F = Eq

ma = Eq

a = Eq/m

where;

m is the mass of an electronq is the magnitude of the chargeE is the electric field

a = ( 475000 x 1.6 x 10⁻¹⁹ ) / (9.11 x  10⁻³¹)

a = 8.34 x 10¹⁶ m/s²

The distance traveled by the electron;

v² = u² - 2as

before the electron reverse its direction, the final velocity, v = 0

0 = u² - 2as

s = u² / 2a

s = (6760000²) / (2 x  8.34 x 10¹⁶)

s = 2.74 x 10⁻⁴ m

(b) The time of motion of the electron is calculated as;

v = u - at

0 = u - at

at = u

t = u / a

t = (6760000) /  8.34 x 10¹⁶

t = 8.1 x 10⁻¹¹ s

(c) The speed of the electron when it is halfway between the starting point and the point where the electron reversed direction is;

v² = u² - 2a(¹/₂s)

0 = u² - as

u² = as

u = √as

u = √ (8.34 x 10¹⁶ x 2.74 x 10⁻⁴)

u = 4.78 x 10⁶ m/s

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The speed of light is 3.0 x 10^8 m/s. If microwave has a wavelength of 350 nm, what is its frequency?

Answers

Answer:

the park and ride at the park and ride at

Explanation:

the chicken and I don't know if you can make it

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