A hiker travels 5.0 km north and then 2.5 km west What is the resultant displacement vector?​

Answers

Answer 1

Answer: The resultant displacement vector is 5.6km

Answer 2

The resultant displacement vector of the hiker is equal to 5.6 km.

What is displacement?

The distance can be described as the total length traveled by an object and is a scalar quantity with only magnitude. The distance should be always positive.

The displacement of an object can be described as the shortest length between two points. The displacement can be considered as a vector quantity with direction & magnitude. The displacement can be +ve, -ve, or zero and can be changed with time.

Given, a hiker moves 5.0 km along AB in the North and then 2.5 km west along BC.

The length (AC) is the resultant displacement that can be calculated by using Pythagoras' theorem:

AC² = AB² + BC²

AC² = (5.0)² + (2.5)²

AC² = 25 + 6.25

AC = 5.59 km ≈ 5.6 km

Therefore, the displacement of the hiker is 5.6 Km.

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Related Questions

Is black made of all colors?

Answers

Black is not a color, but rather a shade. In color theory, a shade is a pure color mixed with black. It decreases its lightness while nearly conserving its chromaticity. Strictly speaking, a "shade of black" is always a pure black itself and a "tint of black" would be a neutral gray. Unlike these, many off-black colors possess a hue and a colorfulness (also called saturation).

Attached is an image showing a few of the different shades of black.

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

The answer is "no" because black is not made of all colors, in fact black is not a color, but black is the absence of light.

What is Light?

Light is an electromagnetic radiation which can be recognized by the human eye. Electromagnetic radiation occurs at a wide variety of wavelengths, from cosmic rays with wavelengths smaller than around 1 1011 meters to radio waves estimated in meters.

Within that large spectrum, the colors visible to humans comprise a relatively small band, ranging from around 700 nanometers for red light to roughly 400 nm for violet light. The spectral areas close to the visible band are also referred to as light, with infrared at one side and ultraviolet the other.

The absence or full assimilation of visible light produces the color black. It is an anamorphic lens color with no tint, similar to white and gray. It is frequently used symbolically or colloquially to denote darkness.

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A bullet is shot vertically upward with an initial velocity of 128 ft/s. The bullet's height after t seconds is y(t) = 128t - 16t2. What is the height of the bullet at the time the velocity is 0 ft/s?

Answers

The height of the bullet when the velocity is zero is 256 ft.

Height of the bullet when the velocity is zero

The height of the bullet when the velocity is zero is determined by taking derivative of the function as shown below;

[tex]v = \frac{dy}{dt} = 128 -32t \\\\when \ v \ is \ zero\\\\v = 0\\\\128 - 32t = 0\\\\32t = 128\\\\t = \frac{128}{32} \\\\t = 4 \ s[/tex]

The height of the bullet at this time is calculated as follows;

[tex]y(4) = 128(4) - 16(4)^2\\\\y(4) = 256 \ ft[/tex]

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List any two reasons for shifting to alternate energy resources?

Answers

Answer:

because non renewables resources are ending day by day ,

alternative energy resources are renewables so it can reduce the load of using non renewables,etc

Explanation:

hope this will help you!

the use of alternative energy sources lets us rely less on the import of fossil fuel. they also help us reduce the need for oil drilling

The speed of a rocket just after being launched is 12 m / s.
The mass of the rocket is 0.05 kg.
Calculate the kinetic energy of the rocket just after being launched. Use the equation: Kinetic energy = 0.5 x mass x velocity squared

As the rocket moves upwards, it gains gravitational potential energy.
State the maximum gravitational potential energy gained by the rocket. Ignore the effect of air resistance.
Maximum gravitational potential energy =


Calculate the maximum height the rocket will reach.
Ignore the effect of air resistance.
Gravitational field strength = 10 N/kg.

Answers

This question involves the concepts of the equations of motion, kinetic energy, and potential energy.

a. The kinetic energy of the rocket at launch is "3.6 J".

b. maximum gravitational potential energy of the rocket is "3.6 J".

a. KINETIC ENERGY AT LAUNCH

The kinetic energy of the rocket at launch is given by the following formula:

[tex]K.E=\frac{1}{2} m v_i^2[/tex]

where,

K.E = initial kinetic energy = ?m = mass of rocket = 0.05 kg[tex]v_i[/tex] = initial speed = 12 m/s

Therefore,

[tex]K.E=\frac{1}{2}(0.05\ kg)(12\ m/s)^2[/tex]

K.E = 3.6 J

b. MAXIMUM GRAVITATIONAL POTENTIAL ENERGY

First, we will use the third equation of motion to find the maximum height reached by rocket:

[tex]2gh=v_f^2-v_i^2[/tex]

where,

g = -9.81 m/s²h = maximum height = ?vf = final speed  = 0 m/s

Therefore,

2(-9.81 m/s²)h = (0 m/s)² - (12 m/s)²

h = 7.34 m

Hence, the maximum gravitational potential energy will be:

P.E = mgh

P.E = (0.05 kg)(9.81 m/s²)(7.34 m)

P.E = 3.6 J

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Which of the following shows the correct order of a life cycle for an animal?

Egg → Adolescent → Infant → Adult → Embryo
Egg → Embryo → Infant → Adolescent → Adult
Embryo → Egg → Infant → Adult → Adolescent
Infant → Adolescent → Adult → Embryo → Egg

Answers

Answer:

Egg, Embryo, infant, adolescent and adult

Answer:

egg,embryo,infant,adolesent,adlt /B

Explanation:

which is the correct standard notation for 9.3x10^5

Answers

Explanation:

9.3x105

Simplifies to:

9.3x100000

=9.3x100000  

Hope that helps

This is how high or low a sound is. It is related to the frequency of the soundwave.

a
volume
b
pitch
c
amplitude
d
echo

Answers

Answer:

a

Explanation:

What is the velocity (in metres per second) of a Canadian
Forces CF-18 fighter jet that travels 8.864 km [S] in
0.297 min?

Answers

Answer:

497 m/s

Explanation:

(8.864 x 10^3 m)/(0.297 * 60 sec) = 497 m/s

The  velocity (in metres per second) of a Canadian Forces CF-18 fighter jet would be 497.41 meters/second.

What is speed?

The total distance covered by any object per unit of time is known as speed.

As given in the problem we have to find out the  velocity (in meters per second) of a Canadian Forces CF-18 fighter jet that travels 8.864 kilometers [S] in 0.297 minutes,

The distance traveled by the  CF-18 fighter jet =  8.864 kilometers

1 kilometer = 1000 meters

8.864 kilometers = 8.864× 1000 meters

                             =8864 meters

The time taken by  CF-18 fighter jet = 0.297 minutes

1 minute = 60 seconds

0.297 minutes = 0.297 ×60 seconds

                        =17.82 seconds

The velocity of the CF-18 fighter jet =8864 meters/17.82 seconds

                                                         = 497.41 meters/second

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The largest identified asteroid is Ceres and is about three times the size of the Moon.
True
or
False

Answers

[tex]false[/tex]

Hope it helps you

Luminous intensity depends on what values?

Answers

It is dependent on the sensitivity of the eye to the entire spectrum of visible wavelengths emitted by the source, and the radiant flux (or radiant power) produced at each wavelength. We weight the radiant flux at each wavelength using the luminosity function V-lambda.

Can a convex mirror form a real image?​

Answers

Answer:

yes !

Explanation:

a mirror transforms and flips , but nonetheless produces a real image.

Re arrange the formula to make v the subject

Answers

Answer:

[tex]v = \sqrt{ \frac{2 e}{m} } [/tex]

Explanation:

[tex]e = \frac{1}{2} m {v}^{2} [/tex]

[tex]e = \frac{m {v}^{2} }{2} [/tex]

[tex]2e = m {v}^{2} [/tex]

[tex] \frac{2e}{m} = {v}^{2} [/tex]

[tex] \sqrt{ {v}^{2} } = \sqrt{} \frac{2e}{m} [/tex]

[tex]v = \sqrt{ \frac{2e}{m} } [/tex]

A 0.001 kg nail is placed 0.2m away from 0.1 kg hammer. Calculate the gravitational force on the nail from the hammer.   ​

Answers

Answer:

F= 1.67 x [tex]10^{-13}[/tex]N

Explanation:

I used this equation:

F = GMm/R²

Where M is mass 1

where m is mass 2

where R is distance

where F is gravitational force

1. Explain what happens during a solar eclipse

Answers

Answer:

when the moon moves in front of the Sun as seen from a location on Earth.

Explanation:

A solar eclipse happens when the moon moves in front of the Sun as seen from a location on Earth. During a solar eclipse, it gets dimer and dimmer outside as more and more of the Sun is covered by the Moon. During a total eclipse, the entire Sun is covered for a few minutes and it becomes very dark outside.

Brainliest if correct Question 5 of 10
Which two types of energy does a book have as it falls to the floor?
A. Kinetic energy
B. Potential energy
c. Nuclear energy
D. Magnetic energy
E. Light energy
SUBMIT

Answers

Answer:

A and B

Explanation:

Kinetic energy is when an object is in motion, and potential energy is kind of when an object stops being in motion, or there is a pause in motion for an extent of time.

When you are holding the book before dropping it, that book is at potential energy. When you drop the book, the book gains kinetic energy as it falls from your hands and hits the floor. Once it hits the floor and rests, it regains potential energy.

I hope that this helps.

GIVING BRAINIEST TO FAST ANSWER!!!!
How does the sun's energy help maintain Earth's energy budget? (3 points)
A part of it is trapped by carbon dioxide and methane.
A part of it heats up Earth's land and water equally.
All of it is turned back towards space.
All of it is trapped by the clouds.

Answers

Answer : Energy from the Sun heats the surface, warms the atmosphere, and powers the ocean currents .

So that's means the answer is the second one

A heat engine is used to convert heat into which of the following?

Answers

What are the options?

Answer:

work

Explanation:

One day, the distance between the crests of the waves at sea is 2.5m. The shortest time between the lowest and highest positions of the floating boat was 0.625 seconds.
a) Calculate the wave period.
b) Calculate the speed of the wave.

Answers

Answer:

1.25 sec, 2 m/s

Explanation:

Period = 2 * 0.625 sec = 1.25 sec

speed = 2.5/1.25 = 2 m/s

What is the Story of Issac Newton​

Answers

Answer:

Isaac Newton is considered one of the most important scientists in history. ... During his lifetime Newton developed the theory of gravity, the laws of motion (which became the basis for physics), a new type of mathematics called calculus. The legend is that Newton discovered Gravity when he saw a falling apple while thinking about the forces of nature. Whatever really happened, Newton realized that some force must be acting on falling objects like apples because otherwise they would not start moving from rest.

I am confused how to find the final velocity after the collision of the block?

Answers

Answer:

kmvmm x=0

               l

              V  

                  V

                      0 = kmvm = x=0

Explanation:

In a pulley system, two blocks are connected by a rope as shown below. The coefficient of static friction between block A and the surface is 0.8. Block A has a mass of 20kg. What is the minimum mass that block B can have so that block A moves?

Answers

Hi there!

We can begin by doing a summation of forces for each block.

Block A:

This block has the force of tension (in direction of acceleration +) and static friction (opposite direction -) acting on it. Thus:

[tex]\Sigma F_A = T - F_s\\\\m_Aa = T - \mu m_Ag[/tex]

Block B:

This block has the force of tension (opposite of acc. -) and gravity (in direction of acc +), working on it.

[tex]\Sigma F_B = m_Bg - T\\\\ m_Ba = m_Bg - T[/tex]

Add both of the expressions and solve for the maximum mass of Block B.

[tex]\Sigma F = m_Bg - T + T - \mu m_Ag\\\\a(m_A + m_B) = m_Bg - \mu m_Ag[/tex]

To find the minimum value, we can set a = 0, so:

[tex]0 = m_Bg - \mu m_Ag\\\\\mu m_Ag = m_B g\\\\0.8(20)(9.8) = m_B (9.8)\\\\m_B = \frac{0.8(20)(9.8)}{9.8)} = \boxed{16 kg}[/tex]

The block must weigh > 16 kg for block A to move.

what would the mass be of an object that was moving at a velocity of 35 m/s and has a kinetic energy of 500j be?

Answers

Answer:

0.816 kg

Explanation:

[tex]E_k=\frac{1}{2}mv^{2}\\[/tex]

so [tex]m=\frac{2E_k}{v^2}=\frac{2\times500}{35^2}=0.816 kg[/tex]

Why is it incorrect to say that astronauts are weightlesS in space while orbiting Earth in a space shuttle?​

Answers

This is because Gravity exists everywhere in the universe.

What is Gravity?

This is the force of attraction which acts on all matters in the universe. Astronauts appear weightless while in orbiting the Earth because the space shuttle and the astronauts are in free fall around it.

They fall at the same rate as the space shuttle which is why the astronauts appear weightless.

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Astronauts and their spaceship are affected by Earth's gravity in space. Even though Earth's gravitational influence is weaker in orbit than on Earth's surface, they have weight. They don't feel their weight since nothing's pushing back.

What is weightlessness in space?

Weightlessness means no weight. It's also called zero-G. Weight is the force on a stationary object in a strong gravitational field.

The sensation of weightlessness that astronauts on board the International Space Station enjoy is due to the fact that they are free falling toward the planet Earth. Because the space station and the astronauts are moving at the same rate, there is no external normal force acting upon the body in free fall to balance out the effects of the body's own weight (equal to g).

Therefore, the astronauts and their spaceship continue to have mass and are still affected by the gravitational pull of the Earth.

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list some of the electronic system?

Answers

Answer:

list some of the electronic system?

An audio system, TV, or any Mp3 player is the example of an electronic system. The sound waves are converted to electrical signals and they are amplified to process the output of high strengthened audio signals, through speakers.

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how has globalization led to underdeveloped countries?

Answers

Answer: Economic growth is the main channel. Globalization can affect poverty. when countries open up to trade, they tend to grow faster and living standards do tend to increase.

Explanation: I hope this helps :)

who discovered the law of gravity and motion?​

Answers

Answer:

Physically, Sir Isaac Newton was not a large man. However, he had a large intellect, as shown by his discoveries on gravity, light, motion, mathematics, and more. Legend has it that Isaac Newton came up with gravitational theory in 1665, or 1666, after watching an apple fall.

Explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

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What is the net force on this object A: 0 newtons b: 200 newtons c:400 newtons D:600 newtons

Answers

Answer:

100kg

Explanation:

Total force =400N+600N=1000N

As we have,

F=m×g

1000N=m×10m/s²

1000N÷10m/s²=m

m=100kg

a
the speed, (u) of a car after a time (H is given by
v=utat
Where u is the initial speed and a is the acceleration
S,
Re-arrange the equation to make
a the subject of formala.
-

Answers

Answer:

[tex]a = \frac{v - u}{t} [/tex]

Explanation:

[tex]v = u + at[/tex]

[tex]v - u = at[/tex]

[tex] \frac{v - u}{t} = \frac{at}{t} [/tex]

[tex]a = \frac{v - u}{t} [/tex]

What is nature of light Definition
What is the sources of light
What is the behaviours of light
Reflection and refraction
Colours and light
Concave and convex mirrors
Please help fast
(25 points)

Answers

Answer:

1.Light is a transverse, electromagnetic wave that can be seen by the typical human.

2.The Sun is the major source of light for the earth.

3.An inclusive list of the basic categories of behavior for light would most likely include transmission, absorption, reflection, refraction, diffraction, scattering, polarization and interference.

4.Spherical mirrors contain curved surfaces which are painted on either one of the sides. When an inward surface of a spherical mirror is painted, then this type of mirror is considered a convex mirror. In the meantime, when the outward surface of the spherical mirror is painted, this mirror is called a concave mirror.

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An object is orbiting uniformly around a center, has a radius of 1 km, and undergoes an angular displacement of 1 every 0.1 s. What is the position vector (x and y component) of that object at = 1 s if the object starts its motion at x = 1000m, y = 0 m?

Answers

The position vector of the object after 1 second is (11,000 m, 10,000 m).

Angular speed of the object

The angular speed of the object is calculated as follows;

[tex]\omega = \frac{1 \ }{0.1 \ s} = 10 \ rad/s[/tex]

Linear speed of the object

v = ωr

v = 10 x 1 km

v = 10 x 1000 m

v = 10,000 m/s

Position of the object after 1 second

[tex]v_x = 1000\ m \ + \ 10,000\ m/s \times 1\ s = 11,000 \ m\\\\v_y = 0 m \ + \ 10,000 \ m/s \times 1 \ s = 10,000 \ m[/tex]

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