If you force the magnitude of the vector to stay the same, but increase the vertical component value, what happens to the horizontal component of the vector?

Answers

Answer 1

Answer:

The horizontal component reduces

Explanation:

The magnitude of a vector is found by taking the root of the sum of the squares of the components of the vector

Therefore, when the values of one of the components is increased, while the other components of the vector stay the same, the magnitude of the vector increases

In order  to increase the value of one of the components of a vector and maintain the magnitude of the vector, the values of one or more of the other components must be reduced.

As such when the magnitude of the vector that has only a vertical and a horizontal component is forced to stay the same, and the vertical component is increased, the horizontal component must be reduced.

Answer 2

The increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.

A vector can be represented in vertical and horizontal components.

[tex]V = V_x + V_y[/tex]

where;

[tex]V_x[/tex] is the horizontal component of the vector[tex]V_y[/tex] is the vertical component of the vector

[tex]V = Vsin(\theta) \ + Vcos(90-\theta)[/tex]

From the formula above, as one component vector increases, the other component reduces.

Thus, the increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.

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Related Questions

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

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:

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:

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

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

:-)

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

a person’s acceleration is 8m/s^2 from 2 seconds to 10 seconds, what is their change velocity?

Answers

Answer:

32 m/s

Explanation:

I think the answer is 32 m/s

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]

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

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  

                         

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:

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

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

Answers

Answer:

31.496 inches

Explanation:

1. If all other things remain equal, which of the following changes to a closed circuit would result in increased resistance to the flow of electric current?
Correct Answer: A) Reducing the thickness of the conductor
B) Replacing the conductor with a more conductive material
Incorrect Response: C) Reducing the length of the conductor
D) Reducing the temperature of the conductor

2. What term refers to producing magnetism by placing a body within a magnetic field?
A) Polarization
B) Natural magnetism
C) Incorrect Response: Artificial magnetism
D) Correct Answer: Induced magnetism

3. What two things must exist for an electric current to be produced?
A) A negatively charged electrode and a positively charged electrode
B) Incorrect Response: A pair of highly conductive materials and a conducting path between them
C) Correct Answer: An electric potential between two bodies and a conducting path joining the bodies
D) A source of voltage and an open circuit

4. If all other things remain equal, which of the following changes to a closed circuit would result in increased resistance to the flow of electric current?
A) Correct Answer: Reducing the thickness of the conductor
B) Replacing the conductor with a more conductive material
C) Incorrect Response: Reducing the length of the conductor
D) Reducing the temperature of the conductor

5. Three components in a parallel circuit have individual resistances of r1, r2, and r3. What formula can you use to determine the total resistance of the circuit?
A) 1/R= r1 + r2 + r3
B) Incorrect Response: R= 1/r1 + 1/r2 + 1/r3
C) Correct Answer: 1/R= 1/r1 + 1/r2 + 1/r3
D) R= r1 + r2 + r3

6. Which of the following materials commonly used in electronic devices is classified as a semiconductor?
A) Correct Answer: Silicon
B) Incorrect Response: Copper
C) Glass
D) Plastic

7. Which of the following explains why your hair stands on end when you rub it with a balloon?
A) The balloon creates friction, which sticks your hair to it.
B) Correct Answer: Electrons from your hair jump to the balloon, causing it to become negatively charged on one side.
C) Incorrect Response: Protons from your hair jump to the balloon, causing it to become negatively charged on one side.
D) Protons from the balloon jump to your hair, causing it to become negatively charged.

Answers

Answer:

1. A) Reducing the thickness of the conductor would result in increased resistance to the flow of electric current

2. D) Induced magnetism produces magnetism by placing a body within a magnetic field.

3.  C)  For an electric current to be produced, an electric potential between two bodies and a conducting path joining the bodies.

4. YOU REPEATED QUESTION 1&4.

5. C) 1/R= 1/r1 + 1/r2 + 1/r3

6. A) Silicon, commonly used in electronic devices, is classified as a semiconductor

7. B) Electrons from your hair jump to the balloon, causing it to become negatively charged on one side.

Explanation:

7. The balloon “steals” electrons from your hair, which causes one side of the balloon to become negatively charged. Since your hair lost electrons, it now has a partial positive charge. Opposite charges of static electric attract, causing them to stick together.

6. For a material to be considered a semiconductor, it must have a resistance to electric current that's too high to be considered a conductor but too low to be considered an insulator. Three common semiconductors used in electronic devices are silicon, germanium, and selenium.

5. If three components are arranged to form a parallel circuit, and the individual resistance of these components are r1, r2, and r3 respectively, the formula for finding the total resistance R is: 1/R= 1/r1 + 1/r2 + 1/r3.

4. YOU REPEATED QUESTIONS 1 & 4.

3. For an electric current to be produced, there must be an electric potential between two bodies and a conducting path joining the bodies. Two oppositely charged bodies won't produce a current unless there's a conduction path for the electrons to travel through.

2. Placing a piece of metal such as an iron bar into a magnetic field, thereby causing the bar to become magnetized, is known as induced magnetism. Typically, an object that has been magnetized in this manner will lose its magnetic properties quickly when removed from the magnetic field.

1.  The resistance to electric current increases as the cross-section of the conductor is reduced, as the conductor is lengthened, and as the conductor is heated. Replacing the conductor with a less-conductive material increases the resistance as well.

1 & 4. A) Reducing the thickness of the conductor would result in increased resistance to the flow of electric current.

2. D) Induced magnetism produces magnetism by placing a body within a magnetic field.

3. C)  The two things must exist for an electric current to be produced is an electric potential between two bodies and a conducting path joining the bodies.

5. C) The formula used to determine the total resistance of the circuit is 1/R= 1/r1 + 1/r2 + 1/r3

6. A) Silicon, commonly used in electronic devices, is classified as a semiconductor

7. B) Electrons from your hair jump to the balloon, causing it to become negatively charged on one side.

What is electric current?

The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.

1 & 4. An electric potential between two bodies and a conducting path joining the bodies is required to produce current.  If all other things remain equal, changes to a closed circuit that would result in increased resistance to the flow of electric current is reducing the thickness of the conductor.

The correct option is A.

2. If an iron bar placed into a magnetic field, it become magnetized, also known as induced magnetism. The term refers to producing magnetism by placing a body within a magnetic field is induced magnetism.

The correct option is D.

3. The two things must exist for an electric current to be produced is an electric potential between two bodies and a conducting path joining the bodies.

The correct option is C.

5. If three components are arranged to form a parallel circuit, and the individual resistance of these components are r1, r2, and r3 respectively, the formula for finding the equivalent resistance R is: 1/R= 1/r1 + 1/r2 + 1/r3.

The correct option is C.

6. A semiconductor must have a resistance to electric current . Three common semiconductors used in electronic devices are silicon, germanium, and selenium.

The correct option is A.

7. The balloon transfers electrons from your hair, which causes one side to become negatively charged. Hair lost electrons, it has a partial positive charge. Opposite charges of static electric attract, causing it to stick together. So, hair stands on end when you rub it with a balloon because electrons from your hair jump to the balloon, causing it to become negatively charged on one side.

The correct option is B.

Learn more about electric current.

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An air bubble is at a depth of 3 m below
the surface of lake. What is the pressure
of water on the air bubble?
(take density of water = 1000 kgm )

Answers

Answer:

incorrect its 987 for exact

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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What is the frequency of a wave that has a period of 5 seconds?
O A. 2 Hz
OB. 5 HZ
O C. 20 Hz
O D. 0.2 Hz

Answers

Answer: D

Explanation:

The frequency of a wave that has a period of 5 seconds is 0.2 Hz. Thus, the correct option is D.

What is Frequency?

Frequency of a wave is the number of occurrences of a repeating event per unit of the time. Frequency is also occasionally referred to as the temporal frequency for clarity purpose, and it is distinct from that of angular frequency. Frequency is measured in SI units of hertz which is equal to one event per second of the time.

Frequency can be calculated as the number of waves that pass a fixed place in a given amount of time period. The frequency of a wave that has a period of 5 seconds is:

f = 1/T

where, f = frequency,

T = Time taken

f = 1/ 5

f = 0.2 hertz

Thus, the frequency of the wave is 0.2 hertz.

Therefore, the correct option is D.

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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

Please do This:

I will name the brainliest!!!

Answers

Answer:

hi

Explanation:

May I get brainliest lol


Fgrav = 600 N

I need help

Answers

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

All students perceive poor grades as disappointing.
Please select the best answer from the choices provided
Т
F

Answers

Answer:

False

Explanation:

A physics student tossed a ball vertically straight upward.
Describe the magnitude of the ball’s vertical velocity at its highest position.

a. The magnitude of vertical velocity is zero.
b. The magnitude of vertical velocity is 9.8 m/s.
c. The magnitude of vertical velocity is at a maximum value.
d. The magnitude of vertical velocity cannot be determined.

Answers

Answer:

c. The magnitude of vertical velocity is at a maximum value.

Explanation:

I think this is correct I'm not entirely sure though

Answer:

Explanation: ns along perpendicular axes are independent and thus can be analyzed separately. This fact was discussed in Kinematics in Two Dimensions: An Introduction, where vertical and horizontal motions were seen to be independent. The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical. (This choice of axes is the most sensible, because acceleration due to gravity is vertical—thus, there will be no acceleration along the horizontal axis when air resistance is negligible.) As is customary, we call the horizontal axis the x-axis and the vertical axis the y-axis. (Figure) illustrates the notation for displacement, where \mathbf{s} is defined to be the total displacement and \mathbf{x} and \mathbf{y} are its components along the horizontal and vertical axes, respectively. The magnitudes of these vectors are s, x, and y. (Note that in the last section we used the notation \mathbf{A} to represent a vector with components {\mathbf{A}}_{x} and {\mathbf{A}}_{y}. If we continued this format, we would call displacement \mathbf{s} with components {\mathbf{s}}_{x} and {\mathbf{s}}_{y}. However, to simplify the notation, we will simply represent the component vectors as \mathbf{x} and \mathbf{y}.)

Review of Kinematic Equations (constant a)

x={x}_{0}+\stackrel{-}{v}t

\stackrel{-}{v}=\frac{{v}_{0}+v}{2}

v={v}_{0}+\text{at}

x={x}_{0}+{v}_{0}t+\frac{1}{2}{\text{at}}^{2}

{v}^{2}={v}_{0}^{2}+2a\left(x-{x}_{0}\right)\text{.}

The total displacement \mathbf{s} of a soccer ball at a point along its path. The vector \mathbf{s} has components \mathbf{x} and \mathbf{y} along the horizontal and vertical axes. Its magnitude is s, and it makes an angle \theta with the horizontal.

A soccer player is kicking a soccer ball. The ball travels in a projectile motion and reaches a point whose vertical distance is y and horizontal distance is x. The displacement between the kicking point and the final point is s. The angle made by this displacement vector with x axis is theta.

Given these assumptions, the following steps are then used to analyze projectile motion:

Step 1.Resolve or break the motion into horizontal and vertical components along the x- and y-axes. These axes are perpendicular, so {A}_{x}=A\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta and {A}_{y}=A\phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\theta are used. The magnitude of the components of displacement \mathbf{s} along these axes are x and \mathrm{y.} The magnitudes of the components of the velocity \mathbf{v} are {v}_{x}=v\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta and {v}_{y}=v\phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\mathrm{\theta ,} where v is the magnitude of the velocity and \theta is its direction, as shown in (Figure). Initial values are denoted with a subscript 0, as usual.

Step 2.Treat the motion as two independent one-dimensional motions, one horizontal and the other vertical. The kinematic equations for horizontal and vertical motion take the following forms:

\text{Horizontal Motion}\left({a}_{x}=0\right)

x={x}_{0}+{v}_{x}t

{v}_{x}={v}_{0x}={v}_{x}=\text{velocity is a constant.}

\text{Vertical Motion}\left(\text{assuming positive is up}\phantom{\rule{0.25em}{0ex}}{a}_{y}=-g=-9.\text{80}{\text{m/s}}^{2}\right)

y={y}_{0}+\frac{1}{2}\left({v}_{0y}+{v}_{y}\right)t

{v}_{y}={v}_{0y}-\text{gt}

y={y}_{0}+{v}_{0y}t-\frac{1}{2}{\mathrm{gt}}^{2}

{v}_{y}^{2}={v}_{0y}^{2}-2g\left(y-{y}_{0}\right)\text{.}

Step 3. Solve for the unknowns in the two separate motions—one horizontal and one vertical. Note that the only common variable between the motions is time t. The problem solving procedures here are the same as for one-dimensional kinematics and are illustrated in the solved examples below.

Step 4.Recombine the two motions to find the total displacement\mathbf{\text{s}} and velocity \mathbf{\text{v}}. Because the x – and y -motions are perpendicular, we determine these vectors by using the techniques outlined in the Vector Addition and Subtraction: Analytical Methods and employing A=\sqrt{{A}_{x}^{2}+{A}_{y}^{2}} and \theta ={\text{tan}}^{-1}\left({A}_{y}/{A}_{x}\right) in the following form, where \theta is the direction of the displacement \mathbf{s} and {\theta }_{v} is the direction of the velocity \mathbf{v}:

Total displacement and velocity

s=\sqrt{{x}^{2}+{y}^{2}}

\theta ={\text{tan}}^{-1}\left(y/x\right)

v=\sqrt{{v}_{x}^{2}+{v}_{y}^{2}}

{\theta }_{v}={\text{tan}}^{-1}\left({v}_{y}/{v}_{x}\right)\text{.}

(a)

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.

an someone help me please, thanks.

Answers

From top down the answers are :
Magnetic field
Ozone
Carbon dioxide
Water in oceans

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

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:

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.

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:

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".

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.

Other Questions
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