An athlete runs 9km due east, then 18km north and finally 5km west. What is the total distance run? What is the resulting displacement of the hiker from the starting point?

Answers

Answer 1

Answer:

Distance: 32 km

Displacement: 18 km

Explanation:

Distance is the total amount travelled. Displacement on the other hand is how far away an object is from its starting point.

Distance is a scalar quantity meaning it only has magnitude. Displacement is a vector quantity meaning it has magnitude and direction.

Distance is represented by "x" while displacement is represented as "Δx".

Note that "Δ" is the Greek letter "delta" which is used to represent a change in something.

Let's start by finding the distance.

Since distance is the total amount travelled, we can just add all of the values.

9km + 18km + 5km = 32 km

Then, we can find the displacement.

North and East are positive while South and West are negative.

If the athlete ran 9km East and 5km West, their displacement would be:

9km - 5km = 4km East

Now, we can set up a triangle to determine the displacement from the starting point.

18km North would be the longer leg, 4km East would be the shorter leg, and the displacement would be the hypotenuse.

Using Pythagorean's Theorem we find that:

[tex]a^2+b^2=c^2\\4^2+18^2=c^2\\16+324=c^2\\340=c^2\\c\approx18[/tex]

Note that "a" and "b" represent the legs of the triangle while "c" represents the hypotenuse of the triangle.

The displacement is approximately 18m.


Related Questions

Spaceship I, which contains students taking a physics exam, approaches Earth with a speed of 0.60c, while spaceship II, which contains instructors proctoring the exam, moves at 0.28c (relative to Earth) directly toward the students. If the instructors in spaceship II stop the exam after 50 min have passed on their clock, how long does the exam last as measured by (a) the students (b) An observer on the Earth?

Answers

Answer:

Let β = v / c          

proper time Δt'  is measured in a frame at the same place in a given frame - the proper time is measured in spaceship II moving at .28 c

a) spaceship I is moving at (.6 - .28) c = .32 c relative to proper time

Δt = Δt' / (1 - β^2)^1/2      as measured by students in ship I

Δt = 50 / (1 - .32^2)^1/2 = 52.8 m        measured by students

b) Δt = 50 / (1 - .28^2)^1/2 = 52.1 min  time elapsed for observer on earth

A book with a mass of 1 kg is sitting on a desk. How much gravitational force is acting on the book? 1N 0 N 9.8 N 0.98 N​

Answers

The gravitational force is always equal to the mass times the acceleration due to the gravitational force:

 ⇒ In this case

mass: 1 kgacceleration due to gravitational force: 9.8 m/s²

Let's calculate:

 [tex]Gravitational_.Force = 1kg*9.8m/s^2=9.8N[/tex]

Answer: 9.8 N

Hope that helps!

Before his weight lifting event Andrew would like to get a quick boost of energy. Which source of nutrition should Andrew consume prior to the match to get the boost of energy he desires

Answers

The source of nutrition that Andrew should consume prior to the match to get the boost of energy he desires is carbohydrate.

What is nutrition?

Nutrition refers to the organic process by which an organism assimilates food and uses it for growth and maintenance.

There are 6 major classes of nutrients and they are as follows:

CarbohydratesProteinsLipidsVitaminsMinerals

Among these classes of nutrients, carbohydrates provide the fastest source of energy in the body and hence, can be recommended for an athlete like Andrew who is preparing for a weight lifting endeavor.

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Could a person survive in a falling lift if they jumped as it hits the ground?

Answers

Answer:

Expect a broken leg or two, but you'll live, Some part of your body must absorb the impact, but head injury is the primary cause of death in falls.

Explanation:

which of these galaxies would you most likely find at the center of a large cluster of galaxies?

Answers

Answer:

a large elliptical galaxy

Explanation:

A very rigid material—one that stretches or compresses only slightly under large forces—has a large value of __________.

Answers

Answer: young's modulus

Explanation: A very rigid material—one that stretches or compresses only slightly under large forces—has a large value of young's modulus .

Select the most accurate summary of kaku’s argument. newton’s scientific study transformed knowledge of the ocean and encouraged countless transformative inventions. newton’s discoveries led to the invention of machines and the beginning of an industrialized society. newton’s invention of the steam engine revolutionized transportation around the world. newton’s followers invented the machines that later stimulated factory productivity and success.

Answers

The most accurate summary of kaku’s argument is Newton’s discoveries led to the invention of machines and the beginning of an industrialized society.

What was Isaac Newton's most important discovery?

According to her, “two bodies attract each other with a force proportional to their masses and inversely proportional to the square of the distance separating their centers of gravity”. With this discovery, Newton eliminated dependence on divine action and began modern science.

The text is about the achievements of Newton that led to the industrial progress, having strong impact on many generations incuding modern generations.

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Answer:

Newton’s discoveries led to the invention of machines and the beginning of an industrialized society.

Explanation:


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What is Wave Optics?

Thanks (:​

Answers

the branch of optics that studies interference, diffraction, polarization, and other phenomena for which the ray approximation of geometric optics is not valid.

The _________ region is where a land or water air mass is formed.
Group of answer choices:

source

atmospheric

primary

hilly

Answers

Answer:

atmospheric

Explanation:

I think it’s atmospheric if I, wrong please tell me and I will fix it thanks!

If the soccer ball has a mass of 284g, and gravitational force is 9.81 m/s2 on Earth, what is the weight of the soccer ball?

If the watermelon has a mass of 850g, and gravitational force is 9.81 m/s2 on Earth, what is the weight of the watermelon?

Which will hit the ground first?

Answers

Answer:

2.79 N8.34 NWatermelon

Explanation:

Weight of soccer ball

Weight = mass (in kg) × gravitational forceWeight = 284 x 10⁻³ x 9.81Weight = 0.284 x 9.81Weight = 2.79 N (approximately)

Weight of watermelon

Weight = mass (in kg) x gravitational forceWeight = 850 x 10⁻³ x 9.81Weight = 0.85 x 9.81Weight = 8.34 N (approximately)

As the watermelon has more weight, it will hit the ground first.

if you do 40 j of work in 4s, how much power did you generate?

Answers

Explanation:

GIVEN :

Work done(W) = 40 J

Time(t) = 4 s

Power (P) = ?

We know that:

W = P×t

Therefore,

P= W/t

=40/4

= 10 W

Hope it helps

1. What is the angle of inclination of the Earth’s axis?
2. Which hemisphere is tilted toward the Sun?
3. Which hemisphere is tilted away from the Sun?
4. Which hemisphere receives greater amount of sunlight?
5. Why do places that receive direct rays of the Sun have warmer temperature?

Answers

Answer:

What is the angle of inclination of the Earth’s axis?

The earth's axis of rotation is tilted 66.5 degrees with respect to its orbital plane around the sun and its axis of rotation is inclined 23.5 degrees from the perpendicular, with respect to this plane. The tilt of the earth affects the angle between the sun beam and the normal over a surface.

Which hemisphere is tilted toward the Sun?

Earth orbits at an angle, so half the year, the Northern Hemisphere is tilted toward the Sun — this is summer in the Northern Hemisphere, and winter in the Southern Hemisphere. The other half of the year, the Northern Hemisphere is tilted away from the Sun, creating winter in the north and summer in the south.

Which hemisphere is tilted away from the Sun?

When the Earth's axis is tilted toward the sun for the Northern Hemisphere, the people in the Northern Hemisphere experience summer, while at the same time, the Southern Hemisphere is tilted away from the sun and the people there experience winter.

Which hemisphere receives greater amount of sunlight?

The Northern Hemisphere receives the maximum intensity of the sun's rays, while the angle of sunlight decreases in the Southern Hemisphere.

Why do places that receive direct rays of the Sun have warmer temperature?

When the sun's rays strike Earth's surface near the equator, the incoming solar radiation is more direct (nearly perpendicular or closer to a 90˚ angle). Therefore, the solar radiation is concentrated over a smaller surface area, causing warmer temperatures.

Here is your answer please mark as brainlest answer!!

Answer:

xfxy naa

Explanation:

dhdhuciffbfjfufu

A sound wave has a speed of 345 m/s and a wavelength of 4.15 meters. what is the frequency of this wave?
a. 83 hertz
b. 67 hertz
c. 125 hertz
d. 145 hertz

Answers

Answer:

a is the correct answer

from the formula of wave length=v/f

therefore f= v/wave length

these implies f= 345/4.15 = 83.1hertz

At time t = 0 s, an object is moving to the right
with a velocity v that can be modeled by the
equation v=(4.2 m/s)-(1.4 m/s?)t. At what time,
if any, does the object change its direction of
motion?

Answers

This object should not change its direction of motion because despite its velocity it will be still moving to the right.

What does the equation describe?

The equation describe the velocity of an object and how this velocity changes depending on time.

How is the direction of motion relate?

The equation does not describe the direction of motion. Due to this, it is expected the direction is the same and does not change.

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A circular loop is initially placed in a uniform magnetic field perpendicular to the field lines and then removed quickly from the field. The induced emf causes the electric charge flow in the loop . Explain the force on the induced current due to the original field

Answers

The induced emf is found as -0.0531 V. When the flux coupling with a conductor or coil changes, electromotive Force, or EMF, is said to be induced.

What is induced emf?

Emf is the production of a potential difference in a coil as a result of changes in the magnetic flux passing through it.

From Lenz law,the the induced EMF is found as;

[tex]\rm e=- \frac{\triangle \phi _B}{\triangle t } \\\\\rm e=- \frac{A\triangle B}{\triangle t } \\\\ e= -\frac{\pi r^2(0-1.10)}{0.15} \\\\ e=-0.0531 \ V[/tex]

Hence,the induced emf is found as -0.0531 V.

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What is the acceleration along the ground of a 10 kg wagon when it is pulled with a force of 44 n at an angle of 35° above the horizontal? 0.23 m/s2 0.28 m/s2 2.52 m/s2 3.60 m/s2

Answers

Based on the calculations, the acceleration of this wagon along the ground is equal to: D. 3.60 m/s².

Given the following data:

Mass = 10 kg.

Angle = 35°

Force = 44 Newton.

How to calculate the acceleration along the ground?

In accordance with Newton's Second Law of Motion, the net force acting on this wagon is equal to the horizontal component of the force that is parallel to the slope:

F = macosθ

Substituting the given parameters into the formula, we have;

44 = 10 × a × cos35

44 = 10a × 0.8192

44 = 8.192a

a = 44/8.192

a = 3.60 m/s²

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Match each type of heat transfer method with its description.

Answers

Question ↷

Match each type of heat transfer method with its description.

Conduction | Convection | Radiation

relates to density differences within fluidsdoes not require a medium or physical contact to transfer heat. occurs during physical contact between solid objects not in thermal equilibriumAnswer↷

Conduction ↪ occurs during physical contact between solid objects not in thermal equilibrium.

________________________________

Convection↪ relates to density differences within fluids.

________________________________

Radiation ↪does not require a medium or physical contact to transfer heat.

________________________________

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What is the world’s biggest source of electricity production?.

Answers

Coal, followed by gas is the largest source of electricity

Coal is the world’s biggest source of electricity production.

The world's biggest source of electricity production is Coal. Coal is a fossil fuel that is mined from the ground and is the largest source of energy for the generation of electricity worldwide. Coal is burned to produce heat, which is then used to boil water and produce steam. The steam drives turbines that generate electricity.

There are other sources of electricity as well, such as natural gas, nuclear energy, hydroelectric power, and renewable energy sources like wind and solar power.

However, coal is the largest source of electricity production in the world.

A 1150 kg car is on a 8.70° hill.
Using X-Y axes tilted down the
plane, what is the y-component
of the weight?

Answers

Answer:

-11151.69N

Explanation:

Wy= -mgcos21=-1150*9.81*cos8.7=-11151.69N (negative because weight points downwards)

y- component  = -11151.69N

Wy= -mgcos21=-1150*9.81*cos8.7=-11151.69N

(negative because weight points downwards)

What is the component of the weight parallel to the inclined plane?

This item will finally boost up down the inclined plane due to the presence of an unbalanced pressure. it's far the parallel element of the pressure of gravity that reasons this acceleration. The parallel aspect of the force of gravity is the net force.

The y-issue of Vector B is contrary to the 40o perspective. while finding additives through drawing a right triangle across the given attitude, you want to put within the symptoms explicitly. In this case, the y-thing points up and so is wonderful.

For the maximum element, we will maintain weigh and weight immediately with the aid of the use of weighing as a verb and weight as a noun, with a smattering of exceptions for records and grades and blankets. Our advice: take consolation wherein you may. Because of this, an item's mass may be measured indirectly through its weight, and so, for regular purposes, weighing (the usage of a weighing scale) is a completely suited manner of measuring mass. Further, stability measures mass in a roundabout way by way of comparing the load of the measured item to that of an item(s) of recognized mass.

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Medium and heavy duty vehicles often require increased braking in situations where friction brakes overheat and fail. This can be addressed by using a(n):

Answers

Medium and heavy duty vehicles require a better braking option hence they ought to have an exhaust brake.

What is a brake?

A brake is used to slow down or stop an automobile. When the brake is applied, the speed of the automobile continues to decrease until it comes to a complete halt.

Friction brakes are apt for light vehicles that may not have the tendency to overheat. However, heavy duty vehicles may overheat often and do require an exhaust brake.The exhaust brake is most fitted for heavy duty vehicles and diesel engines.

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a child pulls a sled by a rope across at a constant speed
of the forces listed identify which act upon the sled
normal
gravity
applied
friction
tension
air resistance

Answers

Answer:

Normal, Gravitational, Applied, Friction, and Tension

Explanation:

Because the sled is on the ground, or rather because it is on the earth, it will have a force of gravity, or its weight, pulling it down.

There is a normal force because the sled is not moving into the ground, so there needs to be a force pushing on the sled from the ground. Additionally, Newton's 3rd law states that for every action there is an equal but opposite reaction, if it's in equilibrium or not moving.

There will be an applied force since the child is pulling the sled and is applying a force to do so.

There will be a friction force that is pulling the sled opposite the direction it is moving, since it is on the ground that is presumably not fricitonless.

There will be a tension force pulling on the sled by the rope. However there is also a tension force pulling on the child's hand by the rope, meaning that these are internal forces and essentially balance out, but they are still there.

There is no air resistance force, or very little of it, since the object is not falling.

Think of a career that is obsolete (no longer exists). Explain why the career is no longer needed.

Answers

Answer:

here

Explanation:

Lector

Resurrectionist

Switchboard Operator

Log Driver

milkmen

Lamplighter

Ratcatcher

Pre-radar Listener

ice cutter

human alarm clock

bowling pin setter

Kelly walks 5 km to school. It takes her 1.5 hours. Calculate her speed in m/s

Answers

Kelly walks 5km.
1 km = 1000m.
5x1000 = 5000meters
1.5h = 90minutes
90miX60 = 5400s

10m/54s
And so on

what do you mean by impulse ratio?​

Answers

Answer:

The impulse ratio of an insulator can be defined as the ratio of impulse peak voltage to the peak voltage. It is used to determine the value of flashover or puncture of insulation. Generally, the impulse ratio of the insulator is high.

at constant temperature and pressure, gas volume is directly proportional to the

Answers

Answer:

number of moles of gas.

Explanation:

A bullet with a mass of 0.04-kg is traveling horizontally at 1400 m/s when it strikes a stationary target that is balanced on the top of a wooden post. The target has a mass of 9.96-kg. The target, with the bullet embedded, is knocked off of the post and moves to the right. How fast is the target with the bullet lodged in it traveling?

Answers

The speed of the target with the bullet lodged in it is 5.6 m/s.

What is speed?

This is the rate of change of distance.

To calculate the speed of the target and the bullet lodged, we use the formula below.

Formula:

V = mu/(m+M)............. Equation 1

Where:

V = Speed of the target and the bulletm = mass of the bulletM = mass of the targetu = Initial speed of the target

From the question,

Given:

m = 0.04 kgu = 1400 m/sM = 9.96 kg

Substitute these values into equation 1

V = (0.04×1400)/(0.04+9.96)V = 56/10V = 5.6 m/s

Hence, the speed of the target with the bullet lodged in it is 5.6 m/s.

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Describe the differences between the energy, spacing, andmovement of molecules in a solid, a liquid, and a gas.

Answers

At high speeds, gas vibrates and moves freely. The liquid vibrates, moves about, and slides past one another. Solids vibrate (jiggle) but do not move from one location to another.

In a building, air moves due to currents caused by temperature differences. Which

A. statement best describes these currents?

B. They transfer thermal energy due to radiation.

C. They transfer electrical energy due to convection.

D. They transfer thermal energy due to convection.

Answers

Answer:

D. they transfer thermal energy due to convection

In a building, air moves due to currents caused by temperature differences. They transfer thermal energy due to convection. this statement best describes these currents. Hence option D is correct.

What is Temperature ?

Temperature is a physical quantity which measures hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature. Absolute scale of temperature means Kelvin scale of temperature. relation between Kelvin(K) and centigrade (°C), °C= K - 273.15 from equation, 273.15 K means 0 °C, which is freezing point of water (ice). when we give temperature to the body, its molecule or atom absorbs thermal energy and vibrate about their mean position. Amplitude of vibration get increases as we go on increasing temperature and for higher temperature force of attraction between molecules gets weaker. Hence for higher temperature, due to weaken the force of attraction between molecule, solid goes into liquid state. and further increase in temperature liquid goes into gaseous state.

Hence option D is correct.

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pls help with this problem, it's not too hard

Answers

Answer:

.25 Hz

Explanation:

Period = 4 sec

freq = 1/p = 1/4 hz  = .25 Hz

How would increasing the magnitude of the charges on two charged particles and decreasing the distance between the particles affect the strength of the electric force between the particles?

Answers

We know the formula

F=kq1q2/r

So

if magnitude of charge is increased the force between them also increased.

And if the distance between them is decreased them also the force will be increased.

So Force increases

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