Both the X- and Y-components of a vector are doubled. Which of the following describes what happens to the resulting Vector?
a) Magnitude increases by √(2
b) Magnitude increases by √(2, and the direction changes
c) Magnitude increases by 2
d) Magnitude increases by 2, and the direction changes

Answers

Answer 1

Answer: C. Magnitude increases by 2

Explanation:

Answer 2

If the magnitudes of X and Y vectors are increased, then the resultant vector will increase by a factor of 2 but the direction does not changes. Hence, option c is correct.

What is a vector ?

A vector is a physical quantity having both magnitude and direction. For example, force, velocity, work done, momentum, velocity etc. are vector quantities. The quantities which does not have direction are called scalar quantity.

The resultant vector R of vectors in X and Y direction can be written as follows:

[tex]\rm R = \sqrt{x^{2} + y^{2}}[/tex]

If the x and y components are doubled to 2x and 2y then the resultant vector becomes,

[tex]\rm R = \sqrt{(2x)^{2} + (2y)^{2}}\\\\ R = \sqrt{4 (x^{2} + y^{2})\\\\\\ R = 2 \sqrt{x^{2} + y^{2} \\ \\ \\ \\[/tex]= 2R

Therefore, the resultant vector will increases by 2 times. However the direction will not change. Hence, option c is correct.

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Related Questions

A car decelerates uniformly from 24 m/s to 18 m/s in 3.0 seconds. How far does it travel during this time?

Answers

Distance = area under the graph
Using the trapezium rule, Area = 1/2 x (24+18) x 3 = 21 x 3 = 63m

Distance travelled will be = 63 m

What is equation of motion?

These are the equations that describe the behavior of a physical system in terms of its motion as a function of time .

Given : u = 24 m/s

           v= 18 m/s

           t = 3sec

using equation of motion : v = u + at

                         18 = 24 + a*3

                         -6 = 3a

                          a = -2 m/s^2

using equation of motion : s =  u t + 1/2 a (t^2)

                           s = 24 * 3 + 1/2 * (-2)(9)

                          s = 63 m

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On Monday, Sylvester walked up 50 stairs in 1 minute. On Tuesday, Sylvester walked up 100 stairs in 2 minutes. Which best describes Sylvester's work and power? a.He did equal work and used equal power on both days. b.He did equal work both days, but used more power on Tuesday. c.He did more work on Tuesday, and used more power on Tuesday. d.He did more work on Tuesday, but used equal power on both days.

Answers

D because he went up 100 stairs which is more stairs than Monday but, still used the same amount of power

A fixed particle with charge –8.8 nC and a second particle with charge –4.3 nC, respectively, are initially separated by a distance of 0.11 m. They are released and the second particle moves 0.030 m. A) What is the change in electric potential energy? B) Did the second particle move toward or away from the source charge?

Answers

Answer:

(a). The change in electric potential energy is 8.3 μJ.

(b).  The second particle moves away from the source charge.

Explanation:

Given that,

Charge of first particle = -8.8 nC

Charge of second particle = -4.3 nC

Distance = 0.11 m

They are released and the second particle moves 0.030 m,

(a). We need to calculate the change in electric potential energy

Using formula of potential energy

[tex]U=\dfrac{Kq_{1}q_{2}}{d}[/tex]

Change in potential energy

[tex]\Delta U=\dfrac{kq_{1}q_{2}}{d_{2}}-\dfrac{Kq_{1}q_{2}}{d_{1}}[/tex]

Put the value into the formula

[tex]U=\dfrac{9\times10^{9}\times(8.8\times10^{-9}\times4.3\times10^{-9})}{0.030}-\dfrac{9\times10^{9}\times(8.8\times10^{-9}\times4.3\times10^{-9})}{0.11}[/tex]

[tex]\Delta U=0.000008256\ J[/tex]

[tex]\Delta U=8.3\ \mu J[/tex]

(B). We need to find the second particle move toward or away from the source charge

We know that,

Both charges are same, so the second particle will be repul from the source charge.

So, The second particle moves away from the source charge.

Hence, (a). The change in electric potential energy is 8.3 μJ.

(b).  The second particle moves away from the source charge.

a blwoing ball traveling 2.0 m/s has a 16 J of Kinetic energy what is the mass of the bowling ball in KG

Answers

Answer:

ke=1/2mv2

Explanation:

16=m(2)*2

16=m4

m=16÷4

m=4

what of the average speed from 4s from 8s
A.0.5m/s
B.1m/s
C.2m/s
D.3m/s
E.9m​

Answers

Answer:  Choice A)  0.5 m/s

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

Explanation:

At 4 seconds, the distance is 8 meters. Note the point (4,8)

At 8 seconds, the distance is 10 meters. The point here is (8,10)

Find the slope of the line through (4,8) and (8,10)

m = (y2-y1)/(x2-x1)

m = (10-8)/(8-4)

m = 2/4

m = 1/2

m = 0.5

The average speed on this interval is 0.5 m/s

-----------------

Another way to look at it:

We've gone from 8 meters to 10 meters, so that's a change of y = 2 meters.

During this, the time has changed from 4 seconds to 8 seconds, which is a difference of x = 4 seconds.

The velocity is the rate of change of distance over time

velocity = (change in distance)/(change in time) = y/x = 2/4 = 0.5 m/s

It’s D that’s the answer


Fgrav = 600 N

I need help

Answers

Your answer is going to be 150 because 600 n /4 would give you 150

The v
h.
The velocity of a vehicle reaches 4 m/s in 4 seconds. Is the velocity of the
car uniform? Explain.​

Answers

Answer:

The velocity is not uniform

Explanation:

The velocity is not uniform, since the vehicle is increasing its speed to a value of 4 [m/s] in a time of 4 [s], that is, the vehicle is accelerating to increase its velocity, so when there is acceleration the velocity can not be constant or uniform.

Vf = Vo +(a*t)

where:

Vf = final velocity = 4 [m/s]

Vo = initial velocity = 0

a = acceleration [m/s²]

t = time = 4 [s]

a = (4 - 0)/4

a = 1 [m/s²]

Question #005- List 10 active things you can do with your family/parents this weekend? (Please be sure to number them.)

i suck at this lol

Answers

Cycling

Walking

Shopping

Exercising

Dancing

Playing physical games

Sport

Cooking

Working around the house

Gardening

Hope this helps:D

A wave has a frequency of 8 Hz, how long is the period?

A 16

B .125

C 64

D 8

Answers

Answer:

A is the answer because if you multiply 8 and 2 the period of wave frequency is 16Hz long.

Explanation:

Answer:

B 0.125 its a simple conversion

The diagram represents Earth's orbit around the Sun. Where is the Sun located in this ellipse?
A)
At the center
B)
At the periphery
At the epicenter
D)
At one of the two foci
Submit
Helpppppp

Answers

D) at one of the two focus of that ellipse.

Answer:

Its a D.

Explanation:


Mark is pushing a box down the hall. Mark is using 5N to push the box 20m. How much work is Mark doing?

Answers

Answer:

The answer is 100 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question

force = 5N

distance = 20m

We have

workdone = 5 × 20

We have the final answer as

100 J

Hope this helps you

A physics book is moved once around the perimeter of a table of dimensions 1.0m by 2.0 m. a. if the book ends up in its initial position, what is its displacement? Type here b. What is the distance traveled?​

Answers

Answer:

A. 0 m.

B. 6 m.

Explanation:

Displacement is final position to initial position in the shortest length possible, if you end at your initial position then your displacement is basically 0.

Since the book traveled along the perimeter of a table of 1m and 2m then its perimeter is a total of 6m, which is basically how far the book traveled.


A 52-kg bike is moving along a smooth road at a constant velocity of 8.4 m/s. What is the net force acting on the bike

Answers

Answer:

0 N

Explanation:

Net force = mass × acceleration

∑F = ma

The velocity is constant, so the acceleration is 0.  Therefore, the net force is 0.

The net force acting on the bike is 0 N.

What is net force?

Net force is the sum of all forces acting on an object. The net force can be calculated using Newton's second law, which states that F = ma, where: F is the net force. m is the mass of the object. a is acceleration.

The velocity is constant, so the acceleration is 0.  Therefore, the net force is 0 N.

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Click The Pros and Cons of Plastics and use the information to answer the question.

Which scenario shows an indirect environmental impact of using plastics?

Answers

Answer:

Plastics being consumed by fish and passing toxic compounds to the humans eat the fish.

Explanation:

I did that answer and got it right.

Answer:

Plastics being consumed by fish and passing toxic compounds to the humans that eat the fish.

Explanation:

can someone help me answer this? i dont get it and I need help before the next 30 minutes. ill give a brainiest to whoever helps me tyyy :)

Answers

Answer:

S=5.83...

Explanation:

s=d/t

Speed=distance/time

s=35/10

s=5.83...

if an object measures to be 80 centimeters in length, then it is equivalent to ____​

Answers

Answer:

31.496 inches

Explanation:

A weight lifter raises a mass of 50kg through a height of 2m. He does this 25 times in one minute. Find his
average power.

Answers

Answer:

[tex]average power = 416.67 \: W

[/tex]

Explanation:

[tex]are \: you \: sure \: this \: is \: a \: man \: or \: robot?......haha. \\ the \: average \: power \: is \: given \: by : \\ p_{(a.v)} = \frac{w}{t} \: but \: work \: or \: energy \: expanded \: is \: given \: by : \\ w = \: fs = mgs \: \: therfore, \: p_{(a.v)} = \frac{mgs}{t} \\ note \: the \: followng : \\ p_{(a.v)} = average \: power, \\ w = work \: done \: or \: energy \: expanded, \\ f = force \: due \: to \: gravity \: = weight = mg, \\ s = distance = height = 2m \times 25 \: lifts, \: m = mass = 50kg, \\ \: g \: = \: acceleration \: due \: to \: gavity = 10 {m(s)}^{ - 2} and \: t = time = 60s.

\\ so \: what \: now, ok \: lets \: find \: p_{(a.v)} . \\ p_{(a.v)} = \frac{mgs}{t}= \frac{50 \times 10 \times 50}{60} = 416.66666667 \: watts.[/tex]

A car has a velocity of 10m/s.it now accelerates for 1m/s for 1/4 minutes. Find the distance travelled in this time and final speed of the car​

Answers

¡Hellow!

For this problem, lets recabe information:

v (Velocity) = 10 m/s

a (Aceleration) = 1 m/s²

t (Time) = 1/4 min = 25 s

d (Distance) = ?

v' (Final velocity) = ?

First, for calculate distance, lets applicate formula:

                                        [tex]\boxed{\boxed{\text{d = Vo * t + (a * t}^{2})\text{ * 0,5} } }[/tex]

Lets replace according we information and let's resolve it:

d = 10 m/s * 25 s + (1 m/s² * (25 s)²) * 0,5

d = 250 m + (625 m) * 0,5

d = 2,5 m + 312,5 m

d = 314 meters.

Now, for calculate final speed, lets applicate formula:

                                                 [tex]\boxed{\boxed{\text{v' = v + a * t} } }[/tex]

Lets replace according we information and let's resolve it:

v' = 10 m/s + 1 m/s² * 25 s

v' = 10 m/s + 25 m/s

v' = 35 m/s

¿Good Luck?

Att: That guy who use the "ñ".

A rock is dropped off a cliff and strikes the ground with an impact velocity of 20m/s. How high was the cliff?(use a=-10m/s2)

Answers

Answer:

20 m

Explanation:

by the formula,

                         [tex]2aS = V_{f}^{2} - V_{i}^2[/tex]

                         2 x 10 x S = 20^2 - 0

                         20S = 400

                         [tex]S = \frac{400}{20}[/tex]

                          S = 20 m  

                         

A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.11 N downward, and the force of the wind on the apple is 1.18 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N. Part 2: What is the direction of the net external force on the apple (measured from the downward vertical, so that the angle to the right of downward is positive)? Answer in units of ◦

Answers

Answer:

The net external force on the apple is 9.18 N and the direction of net force is 82.6°.

Explanation:

Given that,

Force of gravity = 9.11 N

Force of wind = 1.18 N

We need to calculate the net external force on the apple

Using formula of net force

[tex]F'=\sqrt{(9.11)^2+(1.18)^2+2\times1.18\times9.11\cos90}[/tex]

[tex]F'=9.18\ N[/tex]

We need to calculate the direction of net force

Using formula of direction

[tex]\theta=\tan^{-1}(\dfrac{9.11}{1.18})[/tex]

[tex]\theta=82.6^{\circ}[/tex]

Hence, The net external force on the apple is 9.18 N and the direction of net force is 82.6°.

The magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.

The given parameters;

weight of the apple, W = 9.11 Nhorizontal force on the apple, F = 1.18 N

The magnitude of the net external force on the apple is calculated as follows;

[tex]F= \sqrt{F_y^2 + F_x^2} \\\\F= \sqrt{9.11^2 + 1.18^2} \\\\F = 9.19 \ N[/tex]

The direction of the net external force on the apple is calculated as follows;

[tex]\theta = tan^{-1}(\frac{F_y}{F_x} )\\\\\theta = tan^{-1}(\frac{9.11}{1.18} )\\\\\theta = 82.6 \ ^0[/tex]

Thus, the magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.

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Why do you think the lunar cycle is longer than the time it takes the moon to orbit Earth?

Answers

Answer:

because the moon returns to the same place on the sky once every siderial period, but the sun is also moving on the sky.

Explanation:

Hope that helps!

Answer:

Because the moon returns to the same place on the sky once every siderial  period (27.3 days), but the sun is also moving on the sky.Cycle of lunar phases takes 29.5 days. This is called the SYNODIC PERIOD

Explanation:

A school bus moves slower and slower. Using what you have learned about forces, explain why the bus moves slower and slower.

Answers

Explanation:

the weight of the people inside the bus

Two conducting loops of the same diameter, #1 made of copper and #2 made of aluminum wires of the same length and cross-sections are placed on the horizontal surface in uniform magnetic field directed vertically up. Magnetic field vanishes suddenly. The magnitude of emf in loop #1 is

Answers

Answer:

Same as loop #2

Explanation:

The magnitude of emf in loop #1 is the same as that of loop #2

If a car that is moving 20.0 m/s has a momentum of 29000 kg·m/s, what mass is the car?

Answers

Answer:

Mass = 1450kg

Explanation:

P = M * V (where p is momentum, m is mass and v is velocity)

29000 = 20 * M

M = 29000 / 20

M= 1450 kg

At the start of a hockey game the record a job at the puck between two players from the opposing team. Each player wants to push the puck in the opposite direction. For several seconds the park does not move even though both players are pushing on it with the hockey sticks. What forces are acting on the puck, why the park does not move, and how one of the players could get the park to move in a direction they want

Answers

Answer:

1) The forces acting on the puck are the forces applied by the two players in their bid to push the puck in the opposite direction

2) The puck does not move because the forces applied by the two players are equal and opposite

3) A player can get the puck to move in the direction they want by increasing the force acting in the direction they want the puck to move

Explanation:

What is the density of this liquid that has a mass of 300g and volume 600ml.

Answers

Answer:

0.5

Explanation:

D = M / V

You divide 300g by 600ml and you get 0.5

(✿◠‿◠)

la respuesta es

0.5

espero que te sirva

:-)

The zygote eventually becomes a(n)
sperm
egg
baby
uterus
HURRY 30 MINUTES LEFT
(SCIENCE )

Answers

Answer:

baby

Explanation:

Answer:

The zygote eventually becomes a baby

Explanation:

Got it right on a unit test in edg 2020

Three identical 6.4kg masses are hung by three identical springs. Each spring has a force constant of 7.8 Kn/m and is 12cm long before any masses are attached to it. how long is the bottom most spring going to be after the three masses are hung on it
a. 14.3 b. 16.2 c.12.8 d.10.7

Answers

Answer:

The correct option is;

c. 12.8 cm

Explanation:

The given parameters are;

The length of each spring = 12 m  = 0.12 m

Given that the masses and the springs are vertically oriented, we have;

The mass on the first spring = 3 × 6.4 = 19.2 kg

The weight on the first spring = 19.2 kg × 9.81 m/s² = 188.352 N

The extension of the first spring = 188.352 N/7,800 N/m ≈ 0.02415 m

The mass on the second spring = 2 × 6.4 = 12.8 kg

The weight on the second spring = 12.8 kg × 9.81 m/s² = 125.568 N

The extension of the second spring = 125.568 N/7,800 N/m ≈ 0.016098 m

The mass on the third spring = 1 × 6.4 = 6.4 kg

The weight on the third spring = 6.4 kg × 9.81 m/s² = 62.784 N

The extension of the third (bottom) spring = 62.784 N/7,800 N/m ≈ 0.00805 m

The total length of the bottom spring = Original length of the bottom spring + Extension of the bottom spring

The total length of the bottom spring ≈ 0.12 m + 0.00805 m = 0.12805 m

The total length of the bottom spring ≈ 0.12805 m ≈ 12.81 cm

The bottom spring will be approximately 12.81 cm long.

Urgent and easy
Give an example where the following energy changes would take place:

7) Electrical to Thermal-
8) Chemical to Thermal-
9) Electrical to Mechanical-
10) Radiant to Chemical-

Answers

Answer:

7) Oven, toaster. 8) Fire, gas stove. 9) Television? No.. umm.. generator, yeah a generator 10) photosynthesis

Explanation:

Two technicians are discussing the FMVSS 135 standards for parking brakes. Technician A states that the hand force required to set the brake should not exceed 80 lb. Technician B states that the foot force to set the brake should not exceed 80 lb. Which technician is correct?

Answers

Answer:

Technician A

Explanation:

Technician A is correct because, the hand force required is not supposed and even should not exceed 80 lb.

On the other hand, the foot force limit is even higher at 100 lb. Thus, the required foot force break should not exceed 100 lb. We are given 80 lb in the question, which is quite less than 100 lb. It could exceed 80, but must not exceed 100. Thus only Technician A is correct among them both.

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