Find the magnitude of the sum of two vectors; A is 5 km , and B is 7 , when the angle btween them is 120

Answers

Answer 1

Answer: 6.24 km

Explanation:

Given

The magnitude of the first vector(say) [tex]\left | a\right |=5\ km[/tex]

the magnitude of the second vector(say) [tex]\left | b\right |=7\ km[/tex]

the angle between them is [tex]120^{\circ}[/tex]

The resultant vector magnitude is given by

[tex]\left | \vec{R}\right |=\sqrt{a^2+b^2+2ab\cos \theta}[/tex]

[tex]\left | \vec{R}\right |=\sqrt{5^2+7^2+2\times 5\times 7\cdot \cos 120^{\circ}}\\\left | \vec{R}\right |=\sqrt{74-35}=\sqrt{39}\\\left | \vec{R}\right |=6.24\ km[/tex]


Related Questions

!!!URGENT!!! Worth 100 points!!
A snail travels down the sidewalk at 25 mm/min for 4 minutes How far does the snail travel?​

Answers

The snail would travel 100mm

Each minutes is 25mm and it took 4 minutes

4 x 25 = 100

or

25+25+25+25=100

The snail would travel 100mm

Each minutes is 25mm and it took 4 minutes

4 x 25 = 100

Why would a person who weights 100 lbs. on earth weight significantly More on Jupiter?

A. Jupiter has more gravitational force then earth

B.Jupiter is farther away from sun

C.Jupiter has no atmosphere

Answers

Im pretty sure the answer is A)

The correct answer would be A

Because Jupiter's radius balloons to roughly 11 times as large as Earth's, its gravitational force drops off by a factor of 1/112 at its surface (assuming you could find a way to stand on gas clouds).

Hope this helps!!

I know the answer but what type of energy is this.

Answers

Answer:

Elastic potential energy

Explanation:

Answer:

elastic energy

Explanation:

In an experiment in which molten naphthalene is allowed to cool, the cooling curve shown below was obtained, the temperature 80∘C is known as

A. cooling temperature

B. boiling point

C. melting point

D. vaporization point

Answers

Answer:

pa heart follow back follow pa brainliest narin po if my answer is correct for you THANK

Explanation:

In an experiment in which molten naphthalene is allowed to cool, the cooling cur...

Question

In an experiment in which molten naphthalene is allowed to cool, the cooling curve in fig 5 was obtained, the temperature

80

C.

is known as

Options

A) cooling temperature

B) boiling point

C) melting point √√√√√√√√√√※※※ ↑↑ANSWER

D) vaporization point

A 2000 g of C 14 is left to decay radioactively the half-life of Corbin 14 is approximately 5700 years what fraction of that sample remain after 17,100 years

Answers

Answer:

  1/8

Explanation:

17,100 years is 3 times the half-life of 5,700 years. After each half-life, half remains, so the amount remaining after 3 half-lives is ...

  (1/2)(1/2)(1/2) = 1/8

1/8 of the sample remains after 17,100 years.

Answer:

1/8

Explanation:

A 14-gauge copper wire of diameter 1.628 mm carries a current of 12.5 What is the potential difference across a 2.00 - m length of the wire? *p=1.47x10^-8

Answers

Answer:

[tex]V=1.76\times 10^{-4}\ V[/tex]

Explanation:

Given that,

The diameter of a wire, d = 1.628 mm

Radius, r = 0.814  mm = 0.000814m

Current, I = 12.5 mA

The length of the wire, l = 2m

The resistivity of the wire, [tex]\rho=1.47\times 10^{-8}\ \Omega-m[/tex]

We need to find the potential difference across the wire. We know that the resistance of the wire is given by :

[tex]R=\rho\dfrac{l}{A}[/tex]

Also, V = IR

[tex]\dfrac{V}{I}=\rho\dfrac{l}{A}\\\\V=\dfrac{\rho l I}{A}\\\\V=\dfrac{1.47\times 10^{-8}\times 2\times 12.5\times 10^{-3}}{\pi \times (0.000814)^2}\\\\V=1.76\times 10^{-4}\ V[/tex]

So, the potential difference of the wire is [tex]1.76\times 10^{-4}\ V[/tex].

b) The man has a mass of 85 kg. Gravitational field strength = 9.8 N/kg.
Calculate the weight of the man. Use the equation: weight = mass x
gravitational field strength

Answers

Answer:

mass× weight

85×9.5=807.5 kg

How long does it take a 100 kg rocket to increase speed from 10
m/s to 200 m/s with a force of 250N?

Answers

Answer:

76 seconds

Explanation:

Using the formula t=vf-vo/a, where t=time, vf= final velocity, v0= initial velocity, and a= acceleration, we can solve for your problem.

Plug in known variables...

t=200-10/a

we can solve for a by using the formula F=ma where f=force, m= mass, and a=acceleration and rearranging it to solve for a.

a=F/m

Plug in known variables...

a=250N/100kg

a=2.5m/s^2

Plug in our newly found acceleration of 2.5 m/s^2 into our first equation and solve....

t=190/2.5

t=76 seconds

Why is it important for body cell to have twice and many chromosomes as sex cells?

Answers

Answer:

Why sex cells only need half the number of chromosomes compared to other cells in the body?  As gametes are produced, the number of chromosomes must be reduced by half. Why? The zygote must contain genetic information from the mother and from the father, so the gametes must contain half of the chromosomes found in normal body cells.

Explanation:

Brainliest Plzz

Answer:

During Mitosis, the chromosomes split at G2 Phase.


A rubber band has a spring constant of 45 N/m. A classmate stretches it a length of 0.2 m before firing it at Mr. C. Ouch. Calculate the elastic
potential energy of the rubber band.

Answers

Answer:

0.9 Joules

Explanation:

Elastic potential energy of a spring= 1/2 × Spring constant × displacement²

following calculations you will get ur answer!!

A rectangular container of base 50 cm by 30 cm is filled with water to a
depth of 5 cm. How much is the pressure exerted at the base?
(Take pw= 1000 kg/m and g =10 m/s?)​

Answers

Answer:

please find attached pdf

Explanation:

The pressure exerted at the base will be "500 Nm".

Given values are:

Height,

5 cm or, 0.05 m

Base of container,

50 cm

The pressure exerted will be:

→ [tex]P = hdg[/tex]

By substituting the values, we get

       [tex]= 0.05\times 1000\times 10[/tex]

       [tex]= 500 \ Nm[/tex]

Thus the above answer is correct.

Learn more about pressure here:

https://brainly.com/question/26018692

PLS ANSWER FAST WILL GIVE BRAINLY!!!!! BUT ONLY IF YOU KNOW




what happens outside of the nucleus?

Answers

Answer:

electrons

Explanation:

i think this is right

What is 1.2 x 10^5 in standard form?

Answers

Answer in standard form is 120000

The standard form of the given exponential function is 120000.

By putting the number as a base and the number of repetitions as a little number to its upper right, a representation of repeated multiplications of the same number is known as an exponential form.

It is simpler to write repeated multiplication using base and exponents in the exponential form.

The equation f(x) = aˣ, in which the input variable x appears as an exponent and a as the base, describes an exponential function.

So, the given exponential function is,

1.2 x 10⁵

Here, 10 is the base and 5 is the exponent.

10⁵ = 100000

Therefore, the standard form of the given equation is,

1.2 x 100000 = 120000

To learn more about exponential function, click:

https://brainly.com/question/29166310

#SPJ6

HELP WILL GIVE BRAINLIEST
Which of the following adaptations would most likely help an animal survive the stressful environmental conditions found in the
Arctic?
OA
Ducks have webbed feet and an elongated body
OB.
Rattlesnakes have modified scales on the tips of their tails that form a rattle.
OC.
Bats can emit high-pitched sounds and navigate by echolocation
OD.
Reindeer have dense, woolly fur and hooves with high traction

Answers

Answer:

Reindeer

Explanation:

High traction to walk on ice

Woolly fur to keep warm

Answer:

Reindeer have dense, woolly fur and hooves with high traction.

Explanation:

A car has a mass of 1,000 kg and accelerates at 2 m/s? What is the magnitude of the force acting on the car?
0500 N
O 500 kg
0 2,000 N
2.000 kg

Answers

Force = mass times acceleration, as per Newton’s second law.

F = 1000 * 2

2000 Newtons, option C.

Please help me with this

Answers

Answer:

The most correct option for the magnitude of the velocity of the ship relative to the port is;

33 km/h

Explanation:

The given parameters of the cargo ship are;

The speed of the cargo ship = 25 km/h

The direction of the cargo ship, θ₁ = 20° North of East

The speed of the current = 10 km/h

The direction of the current, θ₂ = 15° North of East relative to the port

Therefore the direction of the ship relative to the port, 'θ', is given as the sum of θ₁ and θ₂ as follows;

θ = θ₁ + θ₂ = 20° + 15° = 35°

The component of the velocities relative to the port are given as follows;

The velocity of the ship, v₁ = 25·cos(35°)·i + 25·sin(35°)·j

The velocity of the current , v₂ = 10·cos(15°)·i + 10·sin(15°)·j

The velocity of the ship relative to the port, v = (25·cos(35°) + 10·cos(15°))·i + (25·sin(35°) + 10·sin(15°))·j

∴ v ≈ 30.14·i + 16.93·j

The magnitude of 'v' is [tex]\left | v \right |[/tex] = √(30.14² + 16.93²) ≈ 34.6

Therefore, the magnitude of the velocity of the ship relative to the port, [tex]\left | v \right |[/tex] ≈ 34.6 km/h.

Therefore, the closest correct option for the velocity of the ship relative to the port is 33 km/h

Answer:

The correct option for the magnitude of the velocity of the ship relative to the port is...

(33 km/h)

Which of the following best represents a chemical reaction?
A. Products + reactants
B. Products → reactants
C. Reactants
products
D. Reactants → products

Answers

Answer:

The answer to your question should be D.

Explanation:

reactants are on the laft side of arrow and products are on right side of arrow

The option that best represents a chemical reaction is Reactants → products. Thus, the correct option for this question is D.

What is a Chemical reaction?

A chemical reaction may be defined as a methodology through which one or more substances that are also called reactants, are significantly transformed into one or more different substances which are known as products.

The involvement of these reactants and products are either chemical elements or compounds. The mass of the chemical reaction remains the same but the state of matter may be altered. Some chemical reactions also involved the utilization of catalysts in order to proceed with the reaction fast by lowering its activation energy.

Therefore, reactants → products is an option that best represents a chemical reaction.  Thus, the correct option for this question is D.

To learn more about Chemical reactions, refer to the link:

https://brainly.com/question/11231920

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Can someone give me ideas to improve hearing aids in medical sector to help deaf people

Answers

Answer:

yeah sure they should have a guaranty and should be water proof

Changes in the Moon’s position as it revolves around the Earth results in more or less of the sunlight __________from the Moon being visible when observing the Moon from the Earth. This causes the Moon to appear to change shape from Earth. *

Answers

Answer:

reflection of the moon, or just reflection

Explanation:

when the sunlight hits the moon, it refects back to earth making the moon appear to glow          

Answer:

reflecting

Explanation:

the sun's light reflects off the moon, making the moon visible

7. Which best describes the energy change th pushes a large rock down a hill?
A: sound energy kinetic energy
B:, potential energy kinetic energy
C: kinetic energy mechanical energy
D: mechanical energy sound energy​

Answers

Answer:

B

Explanation:

Gravitational Energy is the energy of position or place. A rock resting at the top of a hill contains gravitational Potential energy. Hydropower, such as water in a reservoir behind a dam, is an example of gravitational potential energy.

B :)
I did it and got it right

what is the rate of acceleration of a 2,000-kilogram truck if a force of 4,300 N is used to make it start moving forward

Answers

The acceleration is 2.1m/s².
m=2000kg
F=4200N
a=4200/2000=2.1m/s²

If Mars were 10 times closer to the Sun, then the Sun would attract Mars with
times
(less or more) force.

Answers

Answer:

more

Explanation:

The velocity does not change greatly between Mars and Venus —explained Dong— but Venus's closer proximity to the sun boosts the density by almost a factor of 4.5. This would mean that atmosphere on Mars would be lost even more rapidly than at its current position.

.............................................hi

Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

hello

just answered for points

Year wise Percentage of Attendance in Senior Secondary Schools of India The given graph shows that the percentage of attendance is recorded with a gap of 5 years. The given table depicts, across time, from the year 2000 to 2015. During the 15 years, there is a steady and healthy increase in the percentage of attendance in ll the four types of schools. The increase in Convent-run schools is much higher compared to the other three types of schools. Initially, the village schools show a noticeably poor percentage of attendance and the General English Medium schools show less percentage of attendance compared to the Convent-run schools. All in all the continuous higher percentage indicates that the relevant authorities are learned about improving the education of the country. The poor attendance in the 2010 in the Government-run village schools shows a big leap in the year 2015, indicating that the Government must have taken an effective measure to improve literacy in the villages. Noteworthy increase in the attendance indicates solid infrastructure and focus towards the healthy growth of the corresponding authorities.

Explanation:

hope it helps you<3

A train travels 4200 km in 90 hours. What is its speed?

Answers

Answer: I think its 120

Explanation: thx for the free points :)

How much force is needed to move a 0.1 kg snowball at a rate of 15 m/s² upward?

Answers

Answer:

The needed force is "1.5 Newtons". A further solution is provided below.

Explanation:

The given values are:

mass,

= 0.1 kg

acceleration,

= 15 m/s²

As we know,

⇒ [tex]Force= mass\times acceleration[/tex]

On substituting the given values, we get

⇒            [tex]=0.1\times 15[/tex]

⇒            [tex]=1.5 \ Newtons[/tex]

you walk 12 meters north, then 10 meters west. What is your displacement

Answers

Answer:

Your displacement is 15.62m NW

Explanation:

We can use the Phytagorean theorem to determine the displacement:

a^2+b^2=c^2

12^2+10^2=c^2

144+100=c^2

244=c^2

15.62=c

So your displacement is 15.62m NW

Which statement describes steps involved in the production of hydroelectric power?

A. Water falls down a pipe to generate electricity.

B. Potential energy of water is directly transformed into electrical energy.

C. Moving water turns a paddle wheel that helps generate electricity.

D. Falling water turns a turbine that helps generate electricity.

Please help would be greatly appreciated!!

Answers

Answer:

D. Falling water turns a turbine that helps generate electricity.

Explanation:

Here is the proof:

1. How do we tell how much energy a ray of light has?

By it's temperature

By it's color

By it's brightness


2. Which of the following are common forms of energy released by electrons dropping from heightened energy levels?

Light, Heat

Motion, Sound

Light, Kinetic

Heat, Potential


4. Describe the shape of a field created by a bar magnet.



5. On a microscopic scale, the energy change in a system is described by a

A change in color or texture

Measuring the temperature

A chemical equation

An odor


6. The aurora borealis lights that appear in the northern hemisphere are caused by the interaction between what?

Ultraviolet radiation from the Sun and the pollution in the Earth's air

The reflected light off the moon and the scattering particles in the atmosphere

The charged particles from the Sun and natural magnetic field of the Earth


7. What happens to the atoms of a material when you run electricity through that material?

The bonds that hold the atoms together begin to stretch due to the electric current

The neutrons, having no charge, resist the flow the electric energy through the atom

The electricity only goes into atoms that have an overall electric charge of the same orientation of the electric flow


8. The amount of potential energy stored in a magnetic field depends on what?

The size of one magnetic pole

How close two magnet poles are to each other

The number of molecules magnetically aligned in a pole

Whether the pole is a North or South pole magnet


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



10. A plane is landing at an airport. The plane has a massive amount of kinetic energy due to it's motion. When the plane lands, it activates its brakes, causing it to slow down and eventually stop. The kinetic energy that the plane had is now gone. In keeping with the Law of Conservation of Energy, which of the following is the most likely explaination of what happened to that energy?

The brakes used a coil system to convert the kinetic energy into potential energy stored in the brakes

The kinetic energy of the plane gets pushed into the air in front of it due to drag forces, causing the air to move, thus transferring the kinetic energy from the plane to the air

The brakes create friction, which transformed the kinetic energy to heat energy that was dissipated to the surroundings

The kinetic energy is being converted into sound energy by the loud engines of the plane

Answers

Ce clasă ești sa văd daca te pot ajuta

Write a short paragraph that explains how a sport using a ball would be played differently on a planet of your choice. For example, how would gravity affect a basketball game on Saturn? Or how would gravity affect a baseball game on Mercury?
(Doesnt have to be a full paragraph answer I just need a gist of what it is)

Answers

on a different planet I would play a sport similar to soccer. The main difference is that there is zero gravity. To win the game u have to get the ball into the other person's net first.

Explanation:

I was just bored

Which organelle captures sunlight and helps in food synthesis?
Chloroplast
Mitochondrion
Nucleus
Ribosome




Answers

Answer: Chloroplast

Explanation: Chloroplasts work to convert the Sun's light energy into sugars that cells can use. It's like a solar panel that converts energy from sunlight into electric power.

Chloroplast

Explanation: Conducts photosynthesis and creates sugars for the plant
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