A force of 10 n stretches a particular spring by 2 cm. How far would a 20 n force stretch that same spring?.

Answers

Answer 1

x2 = 4cm.

20N stretches the same spring 4cm.

What is Hooke's law?The displacement or size of a deformed object is directly proportional to the deforming force or load for relatively small deformations.The spring constant k, is a measure of the spring's stiffness. It varies depending on the spring and material. The greater the spring constant, the stiffer the spring and more difficult to stretch.

The force exerted on the spring, F1 = 10N

In the spring, 1st stretch, x1 = 2cm

The force exerted on the spring, F2 = 20N

In the spring, 2ns stretch, x2 = ?

We have to find x2,

The spring constant value for the same spring must be the same. Hooke's law expresses the relationship between force and spring constant as follows:

F=kx.

F1/x1 = F2/x2

By substituting values,

10 / 2 = 20 / x2

x2 = 40/10

x2 = 4cm

As a result, the 20 N force stretches by 4 cm.

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Related Questions

The potential energy of a roller coaster is 50 joules. The kinetic energy of the same coaster is 50 joules. What is the mechanical energy of the coaster?.

Answers

Mechanical energy of the coaster is 100 joules.

We need to know about mechanical energy to solve this problem. Mechanical energy is the sum of the potential energy and kinetic energy of an object. It can be written as

E = KE + PE

where E is mechanical energy, PE is potential energy and KE is kinetic energy.

From the question above, the given parameters are

KE = 50 J

PE = 50 J

By substituting the given parameters, we can calculate mechanical energy

E = KE + PE

E = 50 + 50

E = 100 J

The total energy is 100 joules

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The gravitational force between two objects is 36 N. What will the new gravitational force be if the distance between them is tripled (x3)? A.4 N B.9 N C.18 N D.27 N

Answers

The new gravitational force when the distance between them is tripled is 4 N.

What is the gravitation force between the objects?

The gravitation force between the objects is calculated by applying Newton's law of universal gravitation.

F = Gm₁m₂/R²

where;

G is universal gravitation constantm is the mass of the objectsR is the distance between the objectsF is the force

From the equation above;

F₁R₁² = F₂R₂²

F₂ = F₁R₁²/R₂²

When the distance is tripled,

R₂ = 3R₁

F₂ = F₁R₁²/(3R₁)²

F₂ = F₁R₁²/9R₁²

F₂ = F₁/9

F₂ = 36 N/9

F₂ = 4 N

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The gravitational force between two object is 36 N then the new gravitational force will be 4 N. Hence, option A is correct.

What is gravity?

Gravity, also referred to as gravitation, is the unchanging force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.

F = Gm₁m₂/ R²

From the equation above;

F₁ × R₁² = F₂ × R₂²

F₂ = F₁R₁²/R₂²

According to the question, when the distance is tripled,

R₂ = 3R₁

F₂ = F₁ R₁²/(3R₁)²

F₂ = F₁ R₁²/ 9R₁²

F₂ = F₁ / 9

F₂ = 36 N/9

F₂ = 4 N

Hence, the new gravitational force will be 4 N.

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Given a block which is at rest on a perfectly flat smooth surface with no friction. You push with your hand horizontally on the block with some force. If the force on the block= 4.00 N and the block moves a distance of 2.00 m on the table, then what is the work done on the block? A) 1.29 JB) 8.00 JC) 9.31 JD) 3.65 JE) 4.57 J

Answers

ANSWER

B) 8.00 J

EXPLANATION

Given:

• The force applied to move the block, F = 4.00N

,

• The distance the block is moved, d = 2.00 m

Unknown:

• The work done on the block, W

If there is no friction between the block and the table, the only force acting upon the block in the direction of movement is the applied force F. Since the force is applied in the direction of movement, then the angle between the force and the displacement is 0, so the work done on the block is,

[tex]W=F\times d=4.00N\times2.00m=8.00J[/tex]

Hence, the work done on the block is 8.00 J.

The atomic number of aluminum is 13. What is the correct designation of the electron configuration of aluminum?.

Answers

Aluminum has the following electron configuration: 1s2, 2s2, 2p6, 3s2, and 3p1.

According to the information supplied, aluminum has an atomic number of 13. That makes it abundantly evident that the nucleus of any atom that is an isotope of aluminum will contain 13 protons. The proton number will be equal to the number of electrons surrounding the nucleus. There will be 13 electrons as a result.

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The skater eventually comes to a stop.
What has happened to all of the skater's
original potential energy?

Answers

The potential energy converts to kinetic energy. I hope that this was helpful

How long would it take an airplane to travle 1089 miles if its flying at a speed of 375 miles per hour

Answers

Answer:

2.904

Explanation:

It would take an airplane 2.904 hours to travel 1089 miles.

As a fraction, this would equal 363/125

As a percentage, this would equal 290.4%

(I certainly hope this was helpful! If it was, please vote me brainliest. If this is incorrect, please notify me so, I will fix my incorrection. Thank you!)

Imagine a black hole lacking any accretion disk whatsoever. Would this black hole produce any light? why?.

Answers

Once a beam of light enters a black hole, it can never exit.

Moreover, A black hole is a region where space-time is so curved that every possible path that light could take eventually curves back inside the black hole. As a result, once a beam of light enters a black hole, it can never exit. Because of this, a black hole is truly black and never emits light. It appears as a dark circle silhouetted by an orbiting disk of hot, glowing matter. The supermassive black hole is located at the heart of a galaxy called M87, located about 55 million light-years away, and weighs more than 6 billion solar masses.

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If a car can go from 0-69mi/hr in 8.0 seconds, what would be its final speed after 5.0 seconds if it’s starting speed was 50mi/hr

Answers

If a car can go from 0 - 69 mi/hr in 8.0 seconds, then the final speed after 5.0 seconds would be 41.6 m/s, if its starting speed was 50 mi/hr.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

The acceleration of the car If a car can go from 0-69mi/hr in 8.0 seconds,

69 miles / hour = 69 × 1609 / 3600

                          = 30.83 m / s

v = u + at

30.83 = 0 + a × 8.0

a = 30.83 / 8.0

  = 3.85 meters / second²

50 miles per hour = 50 × 1609 / 3600

                              = 22.35 m / s

The velocity of the car after 5 seconds,

v = 22.35 + 3.85 × 5

  = 41.6 m / s

Thus, the velocity of the car after 5 seconds would be 41.6 m / s.

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A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°.

a. What is the horizontal component of the velocity?
b. What is the vertical component of the velocity?
c. How long does it take the ball to reach its highest point?
d. What is the maximum height of the ball?
e. What is the total amount of time that the ball is in the air?
f. How far is the ball from the football player when it lands?

Answers

A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°, then the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

What is a projectile motion?

It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.

The horizontal component of the velocity = 21 × cos51 = 15.58 m/s

The vertical component of the velocity = 21 × sin51 = 14.07 m/s

Thus, the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

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alena is performing a floor routine. in a tumbling run she spins through the air, increasing her angular velocity from 43.00 to6 5.00 rev/s while rotating through one-half of a revolution. how much time does this maneuver take?

Answers

The tumbling run by Alena lasted for 0.009 seconds.

The time of tumbling can be calculated using the formula -

time = (2 × theta) ÷ (initial angular velocity + final angular velocity)

Keep the values in formula to find the amount of time took while tumbling.

Time = (2 × 0.5) ÷ (43 + 65)

Performing multiplication in numerator and addition in denominator of Right Hand Side of the equation

Time = 1 ÷ 108

Performing division on Right Hand Side of the equation

Time = 0.009 seconds

Thus, Alena took 0.009 seconds in tumbling while performing floor routine.

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light enters glass from air. the angle of refraction will be: group of answer choices less than the angle of incidence. equal to the angle of incidence. greater than the angle of incidence

Answers

Less than the angle of incidence, the angle of refraction will exist.

What is angle of refraction?

Angle of refraction refers to the angle formed by the refracted ray and the normal at the point of incident.

In a mirror, the angle of incidence and angle of reflection are the same. If the incident ray falls along the normal, the angle of incidence for a plane mirror is 0 degrees rather than 90 degrees.

The behavior of light is described by Fermat's principle, which states that a light ray always chooses the shortest route to its destination. On reflection, the exact same behavior is seen. The angle of incidence and the angle of reflection are equal when a ray is reflected from a plane.

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An electric drill transfers some energy wastefully. Aside from heat, what else carries the energy that it transfers wastefully?

Answers

Answer:

Explanation:

Mechanical energy

Answer:

The right answer is "sound" or "sound waves"

Explanation:

Electric drills are noisy, but this is not useful, so sound is a wasted energy transfer.

What is the magnitude of the velocity of the plane

Answers

We will have the following:

First, we are told that the wind accelerates directly northwest, that means that the angle of inclination is 45°, so the following is true:

[tex]\begin{gathered} \sum F_x=115-75cos(45) \\ \\ \sum F_y=75sin(45) \end{gathered}[/tex]

Then:

[tex]\begin{gathered} v_f=\sqrt{(115-75cos(45))^2+(75sin(45))^2}\Rightarrow v_f=81.56229536... \\ \\ \Rightarrow v_f\approx81.6 \end{gathered}[/tex]

So, the magnitude of the final velocity is approximately 81.6 m/s.

the one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is the one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is very cold hydrogen gas. hot hydrogen gas. the glare of light from nearby stars. interstellar dust.

Answers

The one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is interstellar dust.

The Milky Way is a vast collection of stars dust and gas. It is called a spiral galaxy because it looks like a spinning windmill when viewed from above or below. The Sun is in one of the spiral arms about 25,000 light-years away from the center of the galaxy. Astronomers have released the first images of a supermassive black hole at the center of our Milky Way.

The results provide overwhelming evidence that this object is indeed a black hole and provide valuable clues about the workings of the giant galaxies thought to reside at the center of most galaxies. This extreme environment exposes you to intense UV and X-rays. But much of this activity is obscured from view by a huge plume of interstellar dust. The center of our Milky Way is hidden from the prying eyes of optical telescopes by clouds of dust and gas.

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a canon is firing horizontally from the high wall of a castle located in the midst of a flat plain. if i drop a canon ball from the wall where the canon is located, it it takes 3 sec to hit the ground. what do i need to know to find how far away from the wall the canon balls will land when fired from the canon? the exit velocity from the canon, only. no further information is needed. the height of the wall, only.

Answers

D=44.13, Horizontal velocity is unimportant. The time it takes the cannon ball to fall to the ground is the key to determining the height of the cliff. where  that cannon is present.

The speed of any projectile travelling along a Horizontal velocity is known as the horizontal velocity. When a particle or object is launched into the air at an angle other than 90 degrees, it moves along the trajectory path and changes the shape of the curve to a parabolic one.

the speed at which velocity changes over time. Due to its magnitude and direction, acceleration is a vector quantity. The first derivative of velocity with respect to time or the second derivative of position with respect to time are further examples. This is called acceleration.

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m.

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Answer: D=44.13, Vertical velocity is not significant. The height of the cliff can be calculated using the time it takes the cannonball to hit the earth. where there is that gun.

Explanation: The horizontal velocity is the rate at which any projectile is moving along a plane. A particle or object that is propelled into the air at an angle other than 90 degrees goes along the trajectory line and transforms the curve's shape into a parabolic one.

the rate of change of velocity over time. Acceleration is a vector number because of its size and directional characteristics. Additional examples are the second derivative of location with respect to time or the first derivative of velocity with respect to time. Here is

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m

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Find the acceleration of the 1kg block m the following diagram 5n 4n 5n

Answers

Explanation:

56777^7744 hold the 4 nd add 2

a 0.230-kg block along a horizontal track has a speed of 1.40 m/s immediately before colliding with a light spring of force constant 3.75 n/m located at the end of the track. (a) what is the spring's maximum compression if the track is frictionless? m (b) if the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? greater less equal

Answers

The spring's maximum compression is 0.346 when mass of the block is 0.230 Kg and Speed is 1.40 m/s.

given,

mass of block = 0.230 Kg

speed = 1.40 m/s

spring constant = k = 3.75 N/m

using conservation of energy

a) K.E  =  P.E

1/2mv^2=1/2kx^2

1/2*0.23*1.40^2=1/2*3.75*x^2

X^2=0.120

X=0.346

b) The maximum compression will be equal to the compression in part an if the track is not friction-less.

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Study the graph shown below. It is a graphic of a car trip taken by Amber and Ken. The starting position (0,0) is their home.

Graph of position versus time, with position on the y axis from 0 to 75 miles and time on the x axis from 0 to 8.5 hours. Segment 1 goes from 0,0 to 1,30. Segment 2 goes from 1,30 to 3,50. Segment 3 goes from 3,50 to 4,50. Segment 4 goes from 4,50 to 5,70. Segment 5 goes from 5,70 to 6,70. Segment 6 goes from 6,70 to 7,30. Segment 7 goes from 7,30 to 8,0.

How far had they traveled after four hours of travel?

a
30 miles

b
40 miles

c
50 miles

d
60 miles

Answers

The distance that they had traveled after four hours is given by:

c 50 miles.

How to find the distance traveled?

We are given the a set of points (x,y) in this problem, in which the input and the output are defined as follows:

Input: x is the number of hours.Output: y is the distance traveled, in miles, after a time of x hours.

The endpoints of the segments are as follows:

(0,0): Initially, 0 miles were traveled.(1,30): 30 miles were traveled in one hour.(3, 50): 50 miles were traveled in three hours.(4,50): 50 miles were traveled in four hours.

Hence, the distance that they had traveled after four hours is given by 50 miles, and option c is the correct option in the context of this problem (how long they had traveled).

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two boys hang by their hands from the same tree branch. the branch is straight, and grows out from the tree trunk at an angle of 30 degree above the horizontal. one boy, with a mass of 50.00 kg, is hanging 1.40 m along the branch from the tree trunk. the other boy, with a mass of 33.00 kg, is hanging 2.10 m from the tree trunk. what is the magnitude of the net torque exerted on the branch by the children? assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

Answers

Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

Calculation  Magnitude?

Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

The size of the undertaking would have discouraged a regular man due to its importance.

Magnitude is a way to gauge a star's brightness.

inclination of tree from horizontal =30°

mass of first child m[tex]1[/tex]=50kg

distance of first child r[tex]1[/tex]=1.4

mass of first child  m[tex]2[/tex]=33kg

distance of first child r[tex]2[/tex]=2.10

Torque exerted by first child

T[tex]1[/tex]=m[tex]1[/tex] cos 0*r1

T1=50*9.8 cos27*2*1.4

=489.7513N-M

Torque exerted by second child

T2=m2 cos0*r2

T2=33 *9.8cos27*2

=292.7374

Both torques are in same sense therefore

T[tex]net[/tex]=T1+T2

T[tex]net[/tex]=489.75+292.73

T[tex]net[/tex]=782.48N-m

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A girl on a bridge throws a rock
straight down at -12.5 m/s. It hits
the ground 38.4 m below.
How much time did it take?
(Unit = s)

answer is: 1.80 as time
Vf = -30.1

Answers

The time that is taken for the rock to land on the ground from the given height is 1.8 seconds.

What is the time taken?

We know that we can be able to obtain the time that have been taken from the equations of kinematics. In this case, we have to consider the equations of kinematics which have occurred under gravity.

Let us recall that we have the fact the equation that ought to be used here is;

h = ut + 1/2gt^2

u = initial velocity

h = the height attained

t = time taken

g = acceleration due to gravity

We know that in this case, we have to use the equations of the kinematics that we can apply to the rock that is moving under the influence of gravity as to obtain the tome that it would take the rock to be able to land on the ground from the height that we have been given in the question.

Having listed out these parameters;

38.4 = -12.5t + (0.5 * 9.8 * t^2)

38.4 = -12.5t + 4.9t^2

Hence;

4.9t^2 - 12.5t + 38.4 = 0

t =  1.80  s

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what is the speed of the block when it has moved a distance of 0.0150 m from its initial position? (at this point the spring is compressed 0.0220 m .)

Answers

The speed of the block when  it has moved a distance of 0.0150 m from it's initial position is  0.32 m/s .

When a spring is compressed by a force F, the potential energy is stored on it.

If the spring is released, the potential energy turns into kinetic energy.

The object is replaced by the call-back force which occurs on the spring F' = K.∆x

K= 815 N/m

∆x= 0.0190 m

F' = 815.0.019 = 15.8 N

Ff= k.m.g

Ff = 0.35 . 2.55. 9.81 = 8.76 N friction force acceleration of object is-

a= F' - Ff/m

V^2 = 2.a . displacement

V^2 = 2.264. 0.0200.

V^2 = 0.1056

V=√0.1056.

V= 0.32 m/s

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what is the principal difference between a radio wave and light? what is the principal difference between a radio wave and light? radio waves have significantly higher frequencies than light. a radio wave is a mechanical vibration of matter and light is a vibration of electric and magnetic fields. radio waves have significantly lower frequencies than light. light is a mechanical vibration of matter and radio wave is a vibration of electric and magnetic fields.

Answers

The principal difference between a radio wave and light is that radio waves have significantly lower frequencies than light.

Explanation:

Both radio waves and light are electromagnetic waves; their main difference is their frequency. Radio waves have a lower frequency and longer wavelength than visible light waves. Light waves have a lower frequency and longer wavelength than X-rays.

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why does the sky appear blue in the day vs. red during sunset? I’m looking for an answer that explain s using light rays!!

Answers

Rayleigh scattering makes the sky appear blue in the day and red during sunset.

A clear, cloudless daytime sky is blue because molecules in the air scatter blue light from the sun more than red light. Sun at sunset, appears red or orange because blue light is scattered from your line of sight.

The white light of the sun is a mixture of all the colors of the rainbow. This was demonstrated by Isaac Newton by using a prism to separate different colors to form a spectrum. Colors of light are distinguished by different wavelengths.

The visible portion of the spectrum ranges from red light with a wavelength of about 720 nm to violet with a wavelength of about 380 nm, with orange, yellow, green, blue, and indigo in between. Her three types of color receptors in the retina of the human eye are most responsive to red, green and blue wavelengths, giving us color vision.

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Isaac is practicing his volleyball skills by volleying a ball straight up and down, over and over again. His teammate
Marie notices that after one volley, the ball rises 3.6 m above Isaac's hands. What is the speed with which the ball left
Isaac's hand? (8.4 m/s)​

Answers

Answer:

the velocity of a ball at highest point is 8.5m/s

Explanation:

: The Freefall Problem

Xue,is standing on the roof of a building. Emily is standing below and tosses a ball straight upwards to Xue. It travels up past

Xue, comes back down and Xue reaches out and catches it. Xue catches the ball 6.0 m above Emily’s hands. The ball was

travelling at 12.0 m/s upwards the moment it left Emily’s hand. We would like to know how much time this trip takes.

1. Represent. Complete part A below. Indicate the y-origin for position measurements and draw a sign convention where

upwards is positive. Label the important events.

2. Represent. Complete part C below. Make sure the two graphs line-up vertically. Draw a single dotted vertical line

through the graphs indicating the moment when the ball is at its highest.

A: Pictorial Representation

Sketch, coordinate system, label givens, conversions, describe events

Event 1:

Event 2:

Event 3:

C: Physics Representation

Motion diagram, motion graphs, key events

The total length of the path traveled by an object is the distance. The change in position, from one event to another is the

displacement. Distance is a scalar quantity and displacement is a vector quantity.

3. Reason. Explain why this in this example it is relatively easy to find the displacement, but harder to find the distance.

4. Reason. The BIG 5 equations are valid for any interval of motion where the acceleration is uniform. Does the ball

accelerate uniformly during events 1 and 3? Explain D: Mathematical Representation

Describe steps, complete equations, substitutions with final statement isThere are multiple ways of solving…one

will require the use of the quadratic formula.

The other way will take additional steps.

x = -b+-under root b^2-4ac/2a

what is the loudness and softness of music related to specifically? multiple choice question. beats of two tones that are similar in frequency tone color of the instrument producing the sound frequency of the vibration that produces the sound amplitude of the vibration that produces the sound

Answers

The correct answer choice from above among loudness and softness of music in a wave system is connected by means of amplitude of the vibration that produces the sound.

The correct answer choice is option d.

How the loudness and softness of music is linked with amplitude.

In general, the amplitude of a wave of a music is related to how soft or loud a music is as this depends largely on that force of vibration in the the musical system. For instance, when you hit the the wooden or iron door of a building, a soft sound is produced. This happens simply because amplitude.

Be that as it may, a wave is referred to as a disturbance which travels through a particular medium, transferring energy from one point to another point.

So therefore, the amplitude of a wave goes a long way to determine the loudness and softness of music.

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HELP!

A box is sitting on a frictionless surface when a net force of 15 N is applied to the right. If the acceleration of the box is 0.33 m/s2 to the right, what is the mass of the box?

a
2.0 kg

b
5.0 kg

c
18 kg

d
45 kg

Answers

Answer:

F=m × a - answer is D

Explanation:

F=15N

m=m

a=0.33

15÷0.33=45.45...

18kg c is the right answrr

A bar magnet is cut into two pieces from the middle as shown in the figure. Mark the poles on these magnets if it is further broken into smaller pieces?

Giving brainliest!

Answers

If we cut the magnet into smaller pieces as we can see in the image attached to the question then each of the ends of the smaller magnets would form a north and south pole respectively.

What is a magnet?

The term magnet can be used to describe the material that is able to pick up any magnetizable material. We have to note that a magnet is able to create a magnetic field around it. The magnetic field is the vicinity where the impact of the magnet can be felt.

We know that a magnet has two poles, the north pole and the south pole. These are the points where the influence of the magnetic field is greatest In this discussion, we must keep it at the back of our minds that the influence of the magnetic force is stronger at the ends of the magnet than it is at the center of the magnet as it were.

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Help show how you got answers

Answers

The speed at which a wave of frequency of 14 Hz and a wavelength of 3 m will travel is  42 m / s

v = λ / T

f = 1 / T

v = f λ

v = Wave speed

λ = Wavelength

T = Time period

f = Frequency

f = 14 Hz

λ = 3 m

v = 14 * 3

v = 42 m / s

Frequency is the number of time an event occurs repeatedly in an unit amount of time. Its unit is hertz which in terms of SI unit is [tex]s^{-1}[/tex].

Therefore, the speed at which the wave will travel is 42 m / s

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a propeller is modeled as five identical uniform rods extending radially from its axis. the length and mass of each rod are 0.711 m and 2.99 kg, respectively. when the propellor rotates at 569 rpm (revolutions per minute), what is its rotational kinetic energy?

Answers

The rotational kinetic energy of five identical uniform rods is 9436.21 joule.

We need to know about rotational kinetic energy to solve this problem. Rotational kinetic energy can be defined as the energy of a rotating object. The magnitude of rotational energy is

KE = 1/2 . I . ώ²

where KE is rotational kinetic energy, I is inertia and ώ is angular velocity.

From the question above, the given parameters are

L = 0.711 m

m = 2.99 kg

N = 5

ώ = 569 rpm = 59.59 rad/s

Find the total inertia of five identical rods

I = N . 1/2 . m . L²

I = 5 . 1/2 . 2.99 . 0.711

I = 5.31 kg.m²

Calculate the rotational kinetic energy

KE = 1/2 . I . ώ²

KE = 1/2 . 5.31 . 59.59²

KE = 9436.21 joule

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what is the magnitude n of the normal force on the block of mass m? (b) (5 points) what direction does the hanging block m move, up or down? circle one. (c) (18 points) what is the common magnitude a of the acceleration of the blocks? (d) (14 points) what is the magnitude t of the tension in the string? (e) (6 points) what is the speed of the hanging mass after a time period of 2.0 seconds?

Answers

a) The normal force on the block of mass M is 76.383 N in magnitude.

b) The hanging block goes upward in one direction.

c) The block's acceleration has a common magnitude of 8.11 m/s2.

d) The string's tension measurement is 161.19 N in magnitude.

e) After 2.0 seconds, the speed of the hanging mass is 5.695 seconds.

Simply put, "distance or quantity" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to size or quantity.

It's given that:

M = 45.2 kg.

µk = 0.10.

m = 9.0 kg.

angle = 30 degree

A) The block's mass M and the normal force's strength N:

N - mgcosθ = 0

= 9 * 9.8cos 30

= 76.383N

B) The hanging block's direction shifts upward.

C) the typical magnitude of the acceleration of the block is

Mg - T = Ma

(Mg - T) / M = a

(45.2 * 9.8 - 76.383) / 45.2 = a

[tex]8.11\frac{m}{s^{2} } = a[/tex]

D) the string's tension, T, in terms of magnitude

T - mg = ma

T = ma + mg

T = 9 * 8.11 + 9 * 9.81

T = 161.19N

E) the dangling mass's speed after a delay of 2.0 seconds

v² - u² = 2as

v² - 0² = 2as

v² = 2as

v = √2as

v = √2*8.11*2

v = 5.695 m/s

COMPLETE QUESTION: Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has a mass M = 45.2 kg. Assume the coefficient of kinetic friction between the union of mass M and the inclined plane is µk = 0.10. The vertically hanging block has mass m = 9.0 kg. Assume the blocks begin their motion from rest.

(a) (10 points) What is the magnitude N of the normal force on the block of mass M?

(b) (5 points) In What direction does the hanging block m move, up or down? Circle one.

(c) (18 points) What is the common magnitude of the acceleration of the blocks?

(d) (14 points) What is the magnitude T of the tension in the string?

(e) (6 points) What is the speed of the hanging mass after a time period of 2.0 seconds?

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