The x-component is 8 m/s east; the y-component is 14.5 m/s North. (a) What is the value of the resultant vector? (b) What is the angle of the resultant vector?

Answers

Answer 1

Explanation:

Given that,

The x-component is 8 m/s east and y-component is 14.5 m/s North.

(a) As both x and y components are perpendicular to each other. Their resultant is given by :

[tex]R=\sqrt{x^2+y^2} \\\\R=\sqrt{(8)^2+(14.5)^2} \\\\R=16.56\ m/s[/tex]

(b) Let [tex]\theta[/tex] is the resultant vector. So,

[tex]\tan\theta=\dfrac{y}{x}\\\\\theta=\tan^{-1}(\dfrac{y}{x})\\\\\theta=\tan^{-1}(\dfrac{14.5}{8})\\\\\theta=61.11^{\circ}[/tex]

Hence, the resultant is 16.56 m/s and the angle of the resultant vector is 61.11 degrees.


Related Questions

Find the average velocity (in m/s) of a bicycler that starts 200 meters north of Norwalk and is 2,000 meters north after 45 minutes.

Answers

Answer:

The answer is 10

Explanation:20 x 10 = 200

5. What is the velocity of a Nolan Catholic football player if he runs 200.0 m in 24.0 s?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed {\sf{8.33 \: m \:/s \: }}}}} [/tex]

Explanation:

Distance travelled = 200 metre

Time taken = 24 second

Velocity = ?

Finding the velocity

[tex] \boxed{ \sf{velocity = \frac{distance \: travelled \: }{time \: taken}}} [/tex]

[tex] \dashrightarrow{ \sf{velocity = \frac{200 \: m}{24 \: s} }}[/tex]

[tex] \dashrightarrow{ \sf{velocity = 8.33 \: m/s}}[/tex]

Hope I helped!

Best regards!

List two examples of the following states of matter: solids, liquids, and gases. Please answer in NO LESS THAN 3 complete sentences.

Answers

Answer:

Matter can exist in one of three main states: solid, liquid, or gas. Solid matter is composed of tightly packed particles. A solid will retain its shape; the particles are not free to move around. Liquid matter is made of more loosely packed particles.

Key Takeaways: Examples of Solids, Liquids, and Gases

A solid has a defined shape and volume. A common example is ice. A liquid has a defined volume, but can change state. An example is liquid water.There are four natural states of matter: Solids, liquids, gases and plasma. The fifth state is the man-made Bose-Einstein condensates. In a solid, particles are packed tightly together so they don't move much.

Explanation:

help pls!!

acceleration:

a) the rate of change of position

b) acceleration caused by the force of gravitation

c) the rate of change in velocity; speeding up, slowing down, or changing direction

d) for every action force, there is an equal and opposite reaction force

Answers

The correct answer would be C

Answer:C.

Explanation:

The rate of change in velocity; speeding up, slowing down, or changing direction

what are the three parts to tell the cell theory

Answers

Answer: 1. Organisms are made of cells

2. Cells are the most fundamental unit of life

3. Cells come from other cells

Explanation:

Hope this helps!!

Which of the following is an example of a chemical property? Density Solubility Flammability Magnetism

Answers

Answer:

Hey there!

Flammability is a chemical property. It doesn't change based on what state of matter the object is in.

Let me know if this helps :)

Answer:Flamibilliety

Explanation:

What do you like about science?​

Answers

Answer:

nngh have

bjruh hjrhhj be rnrnnrnrnnnrnjrjnnnnnnnnrnrn n n and I was nrn

Explanation:

jbbbbbhhhjjnnnnnnnnnnjhvcc

Explanation:

Identify the term used to describe the number of protons and neutrons that are present in an atomic
nucleus.

Answers

Answer:
Atomic mass
Explanation:
The unit for measuring protons and neutrons are called atomic mass. They weigh around the same thing.
atomic number. explanation: the atomic number or proton number of a chemical element is the number of protons found in the nucleus of every atom of that element.

In a college of exactly 2560 students, exactly 50 % are male. What is the number of female students?

Answers

1280- 50% of 2560 is 1280

If you have 2 flowers, but then your friend gives you one, how many do you have?

Answers

Answer:

3

Explanation:

Answer:

2+1=3

Explanation:

cause why not

When writing a number in scientific notation, how many digits should be to
the left of the decimal point?
o
A. None
B. One
C. Two
D. It depends on how precise you want your answer to be.

Answers

Answer:

C

Explanation:

A sled is at rest at the top of a slope 2 m high. The sled has a mass of 45 kg. What is the sled’s potential energy?

Answers

Answer:

its 882 J

Explanation:

the answer is D for edge

This means divide or to take apart the pieces. ( science )

Answers

Answer:

disassemble, break apart,divide, separate

Explanation:

just know and have learned it....

Which statement describes an advantage of models? Models can be used to communicate and test designs ideas. Models always show the exact size of a system. Models have the ability to develop into complex systems. Models are useful for developing scientific methods.

Answers

Answer:

Models are useful for developing scientific methods.

Explanation:

Which statement describes an advantage of models? And Developing is an advantage of a model.

Developing scientific methods.

What are scientific methods?

"The scientific method is a process for experimentation that is used to explore observations and answer questions."

The scientific method has five basic steps, plus one feedback step:

Make an observation.Ask a question.Form a hypothesis, or testable explanation.Make a prediction based on the hypothesis.Test the prediction.Iterate: use the results to make new hypotheses or predictions.

Know more about models here

https://brainly.com/question/19426210

#SPJ2

2. What is the difference between distance and displacement?

Answers

Answer:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Explanation:

:)

Answer: The complete length of the path between any two points is called distance. Displacement is the direct length between any two points when measured along the minimum path between them.

Explanation: It's what's!!

Plz help me this question is hard to under stand

Answers

Answer:

____________

in real world conditions?

it seems the most plausible.

Answer (B)

Cars are tested on closed tracks and race tracks so rule out A, D. Tha leaves us with B, C. C is kind of a real-world situation so the answer is most likely, B.

write down formula of power​

Answers

There u go -> P=f/a

Answer:

Power is a measure of the amount of work that can be done in a given amount of time. So, the formula is the energy or work divided by time:

P = W ÷ T, where p is power , w is work and t is time.

which type of mixture is air explain​

Answers

Answer:Three elements make up over 99.9 percent of the composition of dry air: these are nitrogen, oxygen, and argon.

Explanation:

Answer: Air is an gaseous substance

Explanation:

Air is a homogeneous mixture of the gaseous substances nitrogen, oxygen, and smaller amounts of other substances. Salt, sugar, and many other substances dissolve in water to form homogeneous mixtures.

What is energy????????

Answers

Answer:

Energy is the ability to do work.

Explanation: Work is just the act of displaying something by applying force.

A cruise took 6 hours to fulfill its trip. It travelled at an average
speed of 160 km/h for the first 2 h 15 min. For the remaining
journey, it travelled at an average speed of 180 km/h. What was
the total distance of the journey?

Answers

Answer: 1035

Explanation:

A person driving a car suddenly applies the brakes. The car takes 7.0 s to come to rest while traveling 26 m at constant acceleration. What was the initial speed of the car (in m/s)?

Answers

Answer:

7.43 m/s

Explanation:

Time taken for car to stop = 7.0 s

distance traveled before coming to rest = 26 m

Final speed of the car = 0 m/s (since it stops)

initial speed of the car = ?

To get the final speed, we use the equation

s = [tex]\frac{1}{2}t(u + v)[/tex]

where

s is the distance traveled before stopping

u is the initial speed = ?

v is the final speed = 0 m/s

t is the time = 7 s

substituting values, we have

26 = [tex]\frac{1}{2}*7*(u + 0)[/tex]

26 = 3.5u

u = 26/3.5 = 7.43 m/s

A roadrunner at rest suddenly spots a rattlesnake slithering directly away at a constant speed of 0.75 m/s. At the moment the snake is 10. Meters from the bird, the roadrunner starts chasing it with a constant acceleration of 1.0 m/s^2. How long will it take the roadrunner to catch up to the snake?

Answers

Answer:

The roadrunner will take approximately 5.285 seconds to catch up to the rattlesnake.

Explanation:

From the statement we notice that:

1) Rattlesnake moves a constant speed ([tex]v_{S} = 0.75\,\frac{m}{s}[/tex]), whereas the roadrunner accelerates uniformly from rest. ([tex]v_{o, R} = 0\,\frac{m}{s}[/tex], [tex]a = 1\,\frac{m}{s^{2}}[/tex])

2) Initial distance between the roadrunner and rattlesnake is 10 meters. ([tex]x_{o, R} = 0\,m[/tex], [tex]x_{o,S} = 10\,m[/tex])

3) The roadrunner catches up to the snake at the end. ([tex]x_{S} = x_{R}[/tex])

Now we construct kinematic expression for each animal:

Rattlesnake

[tex]x_{S} = x_{o,S}+v_{S}\cdot t[/tex]

Where:

[tex]x_{o, S}[/tex] - Initial position of the rattlesnake, measured in meters.

[tex]x_{S}[/tex] - Final position of the rattlesnake, measured in meters.

[tex]v_{S}[/tex] - Speed of the rattlesnake, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

Roadrunner

[tex]x_{R} = x_{o,R} +v_{o,R}\cdot t +\frac{1}{2}\cdot a\cdot t^{2}[/tex]

Where:

[tex]x_{o, R}[/tex] - Initial position of the roadrunner, measured in meters.

[tex]x_{R}[/tex] - Final position of the roadrunner, measured in meters.

[tex]v_{o,R}[/tex] - Initial speed of the roadrunner, measured in meters per second.

[tex]a[/tex] - Acceleration of the roadrunner, measured in meters per square second.

[tex]t[/tex] - Time, measured in seconds.

By eliminating the final positions of both creatures, we get the resulting quadratic function:

[tex]x_{o,S}+v_{S}\cdot t = x_{o,R}+v_{o,R}\cdot t +\frac{1}{2}\cdot a \cdot t^{2}[/tex]

[tex]\frac{1}{2}\cdot a \cdot t^{2} + (v_{o,R}-v_{S})\cdot t + (x_{o,R}-x_{o,S}) = 0[/tex]

If we know that [tex]a = 1\,\frac{m}{s^{2}}[/tex], [tex]v_{o, R} = 0\,\frac{m}{s}[/tex], [tex]v_{S} = 0.75\,\frac{m}{s}[/tex], [tex]x_{o, R} = 0\,m[/tex] and [tex]x_{o,S} = 10\,m[/tex], the resulting expression is:

[tex]0.5\cdot t^{2}-0.75\cdot t -10=0[/tex]

We can find its root via Quadratic Formula:

[tex]t_{1,2} = \frac{-(-0.75)\pm \sqrt{(-0.75)^{2}-4\cdot (0.5)\cdot (-10)}}{2\cdot (0.5)}[/tex]

[tex]t_{1,2} = \frac{3}{4}\pm \frac{\sqrt{329}}{4}[/tex]

Roots are [tex]t_{1} \approx 5.285\,s[/tex] and [tex]t_{2}\approx -3.785\,s[/tex], respectively. Both are valid mathematically, but only the first one is valid physically. Hence, the roadrunner will take approximately 5.285 seconds to catch up to the rattlesnake.

What happens when sulfur reacts with potassium?

Answers

Electrons move from the potassium atoms to the sulfur atoms.

A race car speeds up with an acceleration of 10 m/s2 for 21 s. If its final velocity is 210 m/s, find its initial velocity.

Answers

Answer:

answer is 0m/ sec

please follow me.

a cross country runner runs 10 km in 40 minutes. what is his average speed

Answers

Answer :

Average speed is measured as the ratio of total distance travelled to the total time taken.

Given : d = 10km and t = 40min

To Find : Vav

_________________________________

Conversion :-

60 min = 1 h

40 min = 40/60 = 2/3 h

[tex]:\implies\sf\:V_{av}=\dfrac{d}{t}[/tex]

[tex]:\implies\sf\:V_{av}=\dfrac{10\times 3}{2}[/tex]

[tex]:\implies\sf\:V_{av}=\dfrac{30}{2}[/tex]

[tex]:\implies\:\boxed{\bf{\orange{V_{av}\:15\:kmph}}}[/tex]

It's important to match your exercise shoes with the type of exercise in which you will be participating.

Answers

Answer:

True

Explanation:

Answer:

True is the correct answer

Explanation:

i took the test

what are fossil fuels?​

Answers

fossil fuels are things such as natural gas, petroleum, and coal and they are made from dead organisms containing organic molecules that release energy deep in the ground they are not renewable

Answer:

Fossil Fuels are natural fuels like coal or gas that were formed millions of years ago and take millions of years to form. They are formed from the remains of past living organisms.

Explanation:

Well you do no really need an explanation for this one...

How many significant figures does the value 0.080 have?

Answers

The answer is 2 sig figs

True or false: We still use the republican calendar created by the French.​

Answers

true!!!!!!!!!!!!!!!!!!!!

a current of 5 ampere is passed for 2 hours in an electric iron having a resistance of 100 ohms calculate the heat produced

Answers

Answer:

[tex] \boxed{\sf Heat \ produced \ (H) = 5 \ kWh} [/tex]

Given:

Resistance (R) = 100 Ω

Current (I) = 5 A

Time (t) = 2 hours

To Find:

Heat developed (H) in the electric iron

Explanation:

Formula:

[tex] \boxed{ \bold{ \sf H = I^2Rt}}[/tex]

Substituting values of I, R & t in the equation:

[tex] \sf \implies H = {5}^{2} \times 100 \times 2 \\ \\ \sf \implies H = 25 \times 100 \times 2 \\ \\ \sf \implies H = 5000 \\ \\ \sf \implies H = 5 \: kWh [/tex]

[tex] \therefore[/tex]

Heat developed (H) in the electric iron = 15 kWh

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