Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south. Find the magnitude and direction of a) A + B and b) A - B. Specify the directions relative due west.​

Answers

Answer 1

Given :

Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south.

To Find :

The magnitude and direction of

a) A + B .

b) A - B.

Solution :

Let , direction in north is given by +j and east is given by +i .

So , [tex]A=-63i[/tex] and [tex]B=63j[/tex]

Now , A + B is given by :

[tex]A+B=-63i+63j[/tex]

[tex]| A+B | = 63\sqrt{2}[/tex]

Direction of A+B is 45° north of west .

Also , for A-B :

[tex]A-B=-63i-63j[/tex]

[tex]|A-B|=63\sqrt{2}[/tex]

Direction of A-B is 45° south of west .

( When two vector of same magnitude which are perpendicular to each other are added or subtracted the resultant is always 45° from each of them)

Hence , this is the required solution .


Related Questions

PLEASE HEEELLLPPPP What is the difference between a hypothesis and a theory? A hypothesis is a testable statement, and a theory is well-supported explanation. A hypothesis is a theory that has been proven. A hypothesis is a law of nature, and a theory is always true. A hypothesis is an observation that can turn into a theory.

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Answer:

A hypothesis is a testable statement, and a theory is well-supported explanation.

Hypothesis is a something that u try and find out and theory is statement and if can be false

i don’t know the answer too 4649ml=________L

Answers

Answer:

the answer is 4.649 liters

Answer: The answer is 4.56L

If you needed to measure the length of a room, you should use the unit

Answers

Answer:

meters, yards or feet

Explanation:

What Happens to Energy during Phase Changes?

Answers

Energy transfer, and transformation.

It is when energy changes from one form to another.

Hope This Helps, Good Luck!

A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with variable speed and from a variable vertical position and a fixed horizontal position x=0.
The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot’s sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y=H and speed v0, they consistently land on the ground on a target that is at a position x=D. Positive directions for vector quantities are indicated in the figure.

When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y=H2. However, the spheres may be launched at speed v0 or 2v0.
Question: In a clear response that may also contain diagrams and/or equations, describe which speed, v0 or 2v0, the students should launch the sphere at so that they earn the maximum number of points in the competition.

Answers

Answer:

[tex]V_0[/tex]

Explanation:

Given that, the range covered by the sphere, [tex]M[/tex], when released by the robot from the height, [tex]H[/tex], with the horizontal speed [tex]V_0[/tex] is [tex]D[/tex] as shown in the figure.

The initial velocity in the vertical direction is [tex]0[/tex].

Let [tex]g[/tex] be the acceleration due to gravity, which always acts vertically downwards, so, it will not change the horizontal direction of the speed, i.e. [tex]V_0[/tex] will remain constant throughout the projectile motion.

So, if the time of flight is [tex]t[/tex], then

[tex]D=V_0t\; \cdots (i)[/tex]

Now, from the equation of motion

[tex]s=ut+\frac 1 2 at^2\;\cdots (ii)[/tex]

Where [tex]s[/tex] is the displacement is the direction of force, [tex]u[/tex] is the initial velocity, [tex]a[/tex] is the constant acceleration and [tex]t[/tex] is time.

Here, [tex]s= -H, u=0,[/tex] and [tex]a=-g[/tex] (negative sign is for taking the sigh convention positive in [tex]+y[/tex] direction as shown in the figure.)

So, from equation (ii),

[tex]-H=0\times t +\frac 1 2 (-g)t^2[/tex]

[tex]\Rightarrow H=\frac 1 2 gt^2[/tex]

[tex]\Rightarrow t=\sqrt {\frac {2H}{g}}\;\cdots (iii)[/tex]

Similarly, for the launched height [tex]2H[/tex], the new time of flight, [tex]t'[/tex], is

[tex]t'=\sqrt {\frac {4H}{g}}[/tex]

From equation (iii), we have

[tex]\Rightarrow t'=\sqrt 2 t\;\cdots (iv)[/tex]

Now, the spheres may be launched at speed [tex]V_0[/tex] or [tex]2V_0[/tex].

Let, the distance covered in the [tex]x-[/tex]direction be [tex]D_1[/tex] for [tex]V_0[/tex] and [tex]D_2[/tex] for [tex]2V_0[/tex], we have

[tex]D_1=V_0t'[/tex]

[tex]D_1=V_0\times \sqrt 2 t[/tex] [from equation (iv)]

[tex]\Rightarrow D_1=\sqrt 2 D[/tex] [from equation (i)]

[tex]\Rightarrow D_1=1.41 D[/tex] (approximately)

This is in the [tex]3[/tex] points range as given in the figure.

Similarly, [tex]D_2=2V_0t'[/tex]

[tex]D_2=2V_0\times \sqrt 2 t[/tex] [from equation (iv)]

[tex]\Rightarrow D_2=2\sqrt 2 D[/tex] [from equation (i)]

[tex]\Rightarrow D_2=2.82 D[/tex] (approximately)

This is out of range, so there is no point for [tex]2V_0[/tex].

Hence, students must choose the speed [tex]V_0[/tex] to launch the sphere to get the maximum number of points.

Free fall motion is motion in which the only force acting on the body is gravity

The student should launch the sphere at 2·v₀, for the sphere will land at approximately 1.41·D, which is in the 3 point zone

The given parameter are;

The distance covered by the sphere when launched at height, H = D

The velocity with which the ball reaches D = v₀

The current available height of launcher= H/2

The available velocities = v₀, and 2·v₀

Solution:

From H = u·t + (1/2)·g·t², where, initial velocity of the vertical motion of the ball, u = 0 we have;

H = (1/2)·g·t²

∴ The time it takes the ball to drop from H, t = √(2·H/g)

The distance, D = v₀ × √(2·H/g)

When the height is H/2, we get;

t = √(2·H/(2·g)) = √(H/g)

The distance covered, D₁ = v₀ × √(H/g)

Therefore, D = (√2) × v₀ × √(H/g) = (√(2))·D₁

D₁ = D/(√2) ≈ 0.71·D

D₁ ≈ 0.71·D

At speed 2·v₀, we have;

D₂ = 2·v₀ × √(H/g) = √2 × v2 × v₀ × √(H/g) = √2 × v₀ × √(2·H/g) = √2·D₁ ≈ 1.41·D

D₂ ≈ 1.41·D

The 2 point zone = D/2 < x < D = 0.5·D < x < D (Position D₁ ≈ 0.71·D is located here)

The 3 Point Zone =  D < x < 3·D/2 = D < x < 1.5·D (Position D₂ ≈ 1.41·D is located here)

Given that at D₂, the ball lands in the 3 Point Zone, the student should launch the sphere at the speed, 2·v₀, so that the ball will land at D₂ ≈ 1.41·D,  which is in the 3 Point Zone

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234 cm …. ________________ meters

Answers

Answer:

the answer is 234 cm is 2.34 meters

Ur ans will be marked as brainliest for sure
U'll get pts too
plz ans it fastt...

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see this picture please mark brainlist

A soccer ball is kicked horizontally. What is the average speed if its distance is 21.0 m after 4.00 s?

Answers

The answer would be 5.25 m/s

Janon walked 6m to the right, and 3m to the left, and then 4m to the right. What is
displacement? rs
(1 Point)
13 m
3 m
7 m
7 m right

Answers

Answer:

7 m

Explanation:

They began walking 6 meters to the right, so +6.

Then 3 meters left so -3,

And then 4 meters to the right again so +4.

4+6-3=7 meters

PLEASE ANSWER THESE I NEED HELP!!!

Which properties are characteristic of metalliods?

1. high electrical conductivity and a high melting point
2. low electrical conductivity and a low melting point
3. intermediate conductivity and a high melting point
4. intermediate conductivity and a low melting point

Answers

4. Intermediate conductivity and a low melting point.

Hope I helped :) mark as brainliest**

Answer:

1 high electrical conductivity and high melting point

To win the game, a place kicker must kick a
football from a point 52 m (56.8672 yd) from
the goal, and the ball must clear the crossbar,
which is 3.05 m high. When kicked, the ball
leaves the ground with a speed of 26 m/s at
an angle of 31.5◦ from the horizontal. The acceleration of gravity is 9.8 m/s2.
By how much vertical distance does the ball clear the crossbar?
Answer in units of m.

Answers

Answer:

1.86 m

Explanation:

First, find the time it takes to travel the horizontal distance.  Given:

Δx = 52 m

v₀ = 26 m/s cos 31.5° ≈ 22.2 m/s

a = 0 m/s²

Find: t

Δx = v₀ t + ½ at²

52 m = (22.2 m/s) t + ½ (0 m/s²) t²

t = 2.35 s

Next, find the vertical displacement.  Given:

v₀ = 26 m/s sin 31.5° ≈ 13.6 m/s

a = -9.8 m/s²

t = 2.35 s

Find: Δy

Δy = v₀ t + ½ at²

Δy = (13.6 m/s) (2.35 s) + ½ (-9.8 m/s²) (2.35 s)²

Δy = 4.91 m

The distance between the ball and the crossbar is:

4.91 m − 3.05 m = 1.86 m

Kilometers per hour per second is a correct unit for acceleration. * True False

Answers

the unit for acceleration is metre per second 2

A car travels 90 meters due North in 15 seconds. The car turns around and travels 40 meters due south in 5 seconds. What is the magnitude of the average velocity of the car during this 20-second interval?

Answers

Answer:

5m/s

Explanation:

If you do 90-40 (the two distances the problem gave) which will give you 50 meters, and then 15-5 (the two times given) which will give you 10. All you do after that is divide your new found distance with your new time 50/10 and boom chicken soup you got your final answer of 5 m/s :)

We have that The cars displacement is

d=50m

The magnitude of the average velocity is

Avg V=2.5m/s

From the question we are told

A car travels 90 meters due North in 15 seconds. The car turns around and travels 40 meters due south in 5 seconds. What is the magnitude of the average velocity of the car during this 20-second interval

Generally the equation for the Total displacement  is mathematically given as

d=initial displacement -final displacement

Therefore

d=90-40

d=50m

Generally the equation for the average velocity  is mathematically given as

[tex]Avg V=\frac{m}{s}\\\\Avg V=\frac{50}{20}[/tex]

Avg V=2.5m/s

Therefore

The cars displacement is

d=50m

The magnitude of the average velocity

Avg V=2.5m/s

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Which pair of objects has the largest gravitational force?

Choose the correct answer.


marble and car

marble and baseball

car and bowling ball

There is no gravitational force between any of these pairs of objects.

Answers

IF all the pairs are separated by the same distance, then it's the car and the bowling ball.

If I can move them as far apart as I want, then I can make ANY of them have the greatest gravitational attraction between them.

Please help!!

If you move 3 meters East and move 4 meters north what is the distance and what is the displacement?

Answers

Answer:

Explanation:

The distance will be the total distannce covered during the journey.

If you move 3 meters East and move 4 meters north, then the distance will be calculated as;

Distance = distnace through East+distance through north

Distance = 3m + 4m

Distance = 7m

Displacement is the distance covered in a specified direction. It is the shortest distance covered by me. This can be gotten using the Pythagoras theorem.

d² = 3²+4²

d² = 9+16

d² = 25

d = √25

d = 5m

Hence the displacement of the object is 5metres

Please solve this no.1 for me
I do not want any weird or wrong answer or else I’ll report
If u can’t do this don’t write weird stuffs on the answer side

Answers

Answer:

metallic movement when u heat up metal it get bigger

Explanation:

let's say u had metal ball with a metal ring u heat the metal ball up it won't fit in the ring

HEY CAN ANYONE PLS PLS PLS HELP ME OUT IN DIS I AM STRUGGLING TOO MUCH

Answers

Answer: 104.5 cubic cm

=======================================================

Work Shown:

r = radius = 1.045 cm

h = height = 30.48 cm

pi = 3.141 approximately

V = volume of cylinder

V = pi*r^2*h

V = 3.141*(1.045)^2*30.48

V = 104.547940002

V = 104.5 cubic cm

During a baseball game, a batter hits a high
pop-up.
If the ball remains in the air for 5.93 s, how
high above the point where it hits the bat
does it rise? Assume when it hits the ground
it hits at exactly the level of the bat. The
acceleration of gravity is 9.8 m/s
2. Answer in units of m.

Answers

Answer: 43.01 m

Explanation:

Given that :

Time ball uses in the air = 5.93, time it takes to reach maximum height and return = time of flight(T) = 5.93 s

TIME of flight (T) = 2 * time taken(t)

Where g = a = acceleration due to gravity = 9.8m/s²

S = 0.5at²

S = maximum height

Tjme taken (t) = time of flight / 2 = 5.93/2 = 2.965 s

Hence,

S = 0.5at²

S = 2 × 0.5 × 9.8 × 2.965²

S = 43.0770025

S = 43.01 m

A circular pizza into 3 equal parts, one piece of pizza is taken out. Estimate the degree measure of the single piece of pizza and convert the measure into radians. What is the radian measure of the angle of the remaining part of pizza?

Answers

Answer:

A circular pizza has a angle of 360 degrees. When you cut it into 3 equal pieces you divide 360 by 3,you get 120 degrees. And following the conversion of 120 degree into radian you get 2pie/3 radians.

Answer:

Explanation:

The total degree of the circle = 360°

It is divided into 3 equal parts, so each part becomes 360 / 3 = 120°

conversion of 120 degree into radian you get 2pie/3 radians.

Hope this helps

plz mark as brainliest!!!!

Which SI units would you use for the following measurements?.

Answers

Answer:

Where are the measurements?

Explanation:

We can measure the length of the swimming pool by using the SI unit meter, as the length of the swimming pool comes under the fundamental measurement of the dimension which is measured by the standardized international unit of length.

What is a unit of measurement?

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

There are three additional units and 7 SI basic units in this system of SI units, the base SI units are meter, kilogram, second, kelvin, ampere, candela, and mole.

As given in the problem we have to find how can we measure the length of the swimming pool,

Due to the fact that the length of the swimming pool falls under the category of a dimension that is fundamentally measured using a standardized international unit of length.

Thus, we can measure the length of the swimming pool by using the SI unit meter,

Learn more about the unit of measurement from here,

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Your question seems incomplete the complete question is,

Which SI units would you use for the following measurements?

the length of a swimming pool

which of the filling is a result of the transfer of energy?

answer: sound

why is it sound???

Answers

Explanation:

the speed of sound depends on the particles of the medium of the sound wave is moving through because the particles in the solid and tightly packed together South Wales weekly transfers energy from particle to particle in a solid

LUZUJ ML)
Monique's family is moving to a town where surfing is a popular sport. She has never surfed but is excited to learn. Monique's father suggested
she practice her balance before attempting to surf. Which activity would best help Monique?

Answers

Answer:

b. Rollerblading.

Explanation:

Rollerblading involves balances.

An airplane flies 250.0 km at 300 m/s. How long does this take?​

Answers

Im not sure if this is physics or mathematics. but if 300 msec then per minute this will equal to 300 X 60 sec =18000 m per minute
Answer: It takes around 13minutes 53 seconds to reach 250km if the plane flies at 300m/s

A model used in studying submarines in different parts of the ocean uses a
scale of 1:500. If a submarine is 1,000 m below the surface of the ocean, how
far below sea level is the submarine in the model?
A. 2 ft
B. 2 m
C. 0.5 m
D. 5 m

Answers

Answer:

its B aka 2m

Explanation:

i did it on apex

If a submarine is 1,000 m below the surface of the ocean,  sea level is 2 meter below the submarine in the model.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

Let, sea level is x meter below the submarine in the model.

According to the question:

x: 1000 =1:500

x/1000 = 1/500

x = 1000/500

x = 2

Hence, the  sea level is 2 meter below the submarine in the model.

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if there is a runner at first and the pitcher throws the ball to the catcher and the runner tries to steal second and the catcher throws to second and the runner breaks and tries to go back to first but the pitcher relizes what do you call that situation

Answers


That’s too confusing to understand

Convert 285,000 milliliters to decaliters.​

Answers

The answer is 28.5 decaliters. Hope this helps

Answer:

The answer is 28.5 decaliters

Name and describe the physical and compositional layers into which earth is divided

Answers

Answer:

Explanation:

There are three compositional layers into which the earth is divided into, these are

The core.

The mantle.

The crust.

There are five physical layers into which the earth is divided, these are

The Lithosphere, 40 - 140 km into the earth

The Mesosphere, 50 - 100 km above the earth.

The Asthenosphere, below the lithosphere, 80 - 200 km into the earth.

The Inner Core.

The Outer Core, 2890 km below the earth

PLEASE HELP ME I APPRECIATE IT WILL GIVE BRAINLIEST
(Write a paragraph) What are the similarities and differences between these volcanoes:
Composite Volcano, Lava Dome, Shield Volcano, and Cinder Cone.

Answers

Answer:

Explanation:

Composite volcanoes, also called stratovolcanoes, are cone-shaped volcanoes built from many layers of lava, pumice, ash, and tephra. A lava dome is a circular mound-shaped protrusion resulting from the slow extrusion of viscous lava from a volcano. A shield volcano is a type of volcano usually composed almost entirely of fluid lava flows. It is named for its low profile, resembling a warrior's shield lying on the ground. A cinder cone is a steep conical hill of loose pyroclastic fragments, such as either volcanic clinkers, volcanic ash, or cinder that has been built around a volcanic vent.

If you could choose one job or career related to environmental science what would it be

Answers

Answer:

I would love to be a gardener :)

Explanation:

Plants are kool!!!

a liter contains 1,000 smaller units called  milliliters , true or false

Answers

True :) ..............

That would be true..... :)
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