a spring with an mm-kg mass and a damping constant 5 (kg/s) can be held stretched 1 meters beyond its natural length by a force of 2 newtons. if the spring is stretched 2 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping.

Answers

Answer 1

A spring with  a damping constant 5 (kg/s) can be held stretched 1 meters beyond its natural length by a force of 2 newtons. The mass m = 3.12 kg that would produce critical damping

From hooke's law, force required to stretch the spring is

                            k (1) = 2

          Spring Constant, k = 2

For critical damping, c²-4mk =0

                              m = c² / 4 k

                c= damping constant (from question)

                m = Mass to produce critical damping

There fore, m = (5²/4*2) =   3.12  kg  

According to Hooke's law, the restoring force is equal to -kx, where k is a positive number known as the spring constant. Since c is a positive constant that is also known as the damping constant, we assume that the damping force is -c(dx/dt). Robert Hooke, an English scientist, developed the law of elasticity in 1660. According to Hooke's law, for relatively minor deformations of an item, the displacement or amount of the deformation is directly proportional to the deforming force or load.

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Related Questions

the lower tank weighs 224 n, and the water in it weighs 897 n. if this tank is on a platform scale, determine the weight that will register on the scale beam.

Answers

The weight that will register on the scale beam is 1121 N.

What is the weight of an object?

The weight of an object is a measure of the force of gravity acting on a body on the earth's surface.

The weight of an object is calculated as follows:

weight = mass * acceleration due to gravity

The unit of weight is Newtons.

Considering the data given:

The weight of the lower tank is 224 N

The weight of the water in the tank is 897 N

Total weight of the tank and the water = 224 + 897 = 1121 N

This will be the total weight that will register in the scale beam.

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Some students were measuring the volume of a cube shaped wooden block. They
measured the length to be 5.08 cm, the width to be 5.09 cm, and the height to be
5.10 cm. The actual volume of the block was 15.3 cm3
. What was their percent
error?

Answers

Answer:

See below

Explanation:

CALCULATED volume from their measurements:

5.08 X 5.09 X 5.10 = 131. 9   cm^3

( I think you my have the "The actual volume of the block was 15.3 cm3" incorrectly posted)

(131.9 - 15.3) / 15.3     x 100 % =  762 %  error !!!!!

               

The most energetic region of the electromagnetic spectrum is the microwave region. True or false?.

Answers

False. The most energetic region of the electromagnetic spectrum is NOT the microwave region. It is the Gamma rays.

What are Gamma rays?
The electromagnetic radiation with the shortest wavelength and maximum energy is known as a gamma ray. The wavelengths of gamma radiation are often less than a few tenths of an angstrom (1010 meter), yet the energy of gamma photons exceed tens of thousands of electron volts.

Gamma rays are created when radioactive atomic nuclei break apart and when certain subatomic particles decay. Pair annihilation, in which two photons are formed along with the disappearance of an electron and its antiparticle, a positron, also results in the production of gamma rays. Additionally, they can be produced when some unstable subatomic particles, such the neutral pion, decay.

Therefore, The most energetic region of the electromagnetic spectrum are gamma rays.

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4 Applications of named material with high specific heat capacity​

Answers

Water has the highest specific heat capacity.

The specific heat capacity is measured in J/(kg K) or J/(kg °C), and it is the amount of heat (J) absorbed per unit mass (kg) of the material when its temperature rises by 1 K (or 1 °C).

Applications of water with highest specific heat capacity​ are:

Fomentation: Hot water bottles are employed for this process because, despite producing a lot of heat, the water stays hot for a long period inside the bottle. Water is utilized as a coolant in automobile radiators. It can absorb a lot of heat energy from the car's engine thanks to its high specific heat capacity, but its temperature doesn't get too hot.Bottled Wines: Wine bottles are stored submerged in water in colder areas. The time it takes for the temperature to drop to 0 C is due to the large specific heat capacity of water.

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a paramecium swimming through a fluid is moving at approximately a constant velocity as a result of wiggling its cilia. what can you say about the net force that is being exerted on it while it is doing this?

Answers

In the case of a paramecium moving at a constant speed, there is no net force acting on it.

The paramecium's cilia exerts a force on water that is equal to the force that the water exerts on the paramecium's cilia, according to Newton's third law.

The strength of the viscous force the water is exerting on the paramecium will be equal to the strength of the force the paramecium's cilia are exerting on the water.

How does Paramecium use cilia?

Cilia, or tiny strands like hair, cover the whole surface of parasites like cilia, which beat rhythmically to move them and guide bacteria and other food particles into their mouths.

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2. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.

Answers

The total time taken by the feather to fall to the surface of moon will be 1.29 seconds.

Given is a feather dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s².

State second equation of motion.

The second equation of motion is -

S = ut + 1/2 at²

We can write -

[S] = 1.4 m

[a] = 1.67 m/s²

[u] = 0 m/s

Using the second equation of motion -

S = ut + 1/2 at²

S = 1/2 at²

1.4 = 1/2 x 1.67 x t²

1.4 = 0.835 x t²

t = 1.29 seconds

Therefore, the total time taken by the feather to fall to the surface of moon will be 1.29 seconds.

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. a high diver steps off a diving platform that is 10 meters above the water. if no air resistance is present, during the fall there will be a decrease in the diver's * 1 point a) gravitational potential energy. b) total mechanical energy. c) kinetic energy d) energy caused by friction force

Answers

Option a if no air resistance is present, during the fall there will be a decrease gravitational potential energy in the drives.

Resistance is the characteristic of an electric circuit or a component of an electric circuit that converts electrical energy into thermal energy when an electric current is present in the opposite direction. The current-carrying charged particles that make up the conductors' structure collide with fixed particles during resistance. Resistance is frequently thought of as being confined in objects like lamps, heaters, and resistors where it predominates, despite the fact that it is a property of all circuit components, including connecting wires and electric transmission lines. Resistance is the degree to which a substance obstructs or opposes an electric current.  Consider the example of a person battling to go from one stop to another in a crowded market to better understand resistance.

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A steam turbine has an efficiency of 40.0%. A steam engine has an efficiency of
25.0%. Suppose both devices are provided with 1000 J of thermal energy. How much
more useful work will the steam turbine do? Show your work.

Answers

Answer:

150J (joules)

Explanation:

25% efficiency of 1000J = 250J

40% efficiency of 1000J= 400J

400-250=150

a car of mass 1850 kg is traveling at 22.5 m/s in a straight line. a truck of mass 3170 moving in the opposite direction collides with the car and the 2 vehicles stop immediately without sliding. the speed of the truck was

Answers

13.13 m/s is the velocity of the truck was when a truck of mass 3170 moving in the opposite direction collides with the car and the 2 vehicles stop immediately without sliding.

Momentum of car= 1850(22.5)=41625 kg m/s

Momentum of car = momentum of truck

Let the speed of truck = v m/s

Momentum of truck= v(3170)=3170 v  kgm/s

3170v = 41625

v = 13.13 m/s

Speed of truck = 13.13 m/s

The pace at which a moving object changes position as seen from a certain point of view and as measured by a particular time standard is known as its velocity.

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On the kickoff, the football was in the air for 4 seconds before hitting the ground 53 meters away. How fast did the ball leave the foot of the kicker?

Answers

Answer:

Vx = 53 m / 4 sec = 13.25 m/s       horizontal speed

Vy = 2 sec* 9.80 m/sec^2 = 19.6 m/s      vertical speed

V = (13.25^2 + 19.6^2)^1/2 = 23.7 m/s

Check:

Range = V^2 sin 2θ / g

tan θ = 19.6 / 13.25 = 1.48     θ = 55.9 deg

R = 23.7^2 sin 112 deg / 9.8 = 53.1 m

A gas occupies 1.56 L at 20 Pa. What will be the volume of this gas if the pressure becomes 40Pa?

Answers

Answer:

Hope the picture will help

at certain times of the year, five planets can be seen from earth, including mars and what other planet?

Answers

Mercury, Venus , Mars , Jupiter and Saturn are much seen planets.

What is planets ?

A planets is a body that is in orbit around the sun has sufficient Mars for it's self-gravity to overcome rigid body forces so that it assumes nearly round shape.

In simple words we can say any of the large bodies that revolve around the sun in the solar system called planet.

The current count orbiting our star there are eight planet but earth, mercury, Venus , Jupiter and Mars are much visible .

So,

At certain times of the year these 5 planets can be seen from earth .

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a wave has an amplitude of 2 cm (y-direction) and a frequency of 12 hz, and the distance (x-direction) from a crest to the nearest trough is measured to be 5 cm. determine the velocity of the wave.

Answers

120 centimeters per second, is the wave speed or wave velocity.

How fast do waves travel?

Wave velocity is the amount of distance a wave travels in one unit of time. The rate at which a particle disturbance like a crest or trough or compression or rarefaction spreads in a medium is known as the particle's propagation speed.

Given,

Amplitude (A) = 2cm,

Frequency (f) = 12hz,

Time period [tex]T=\frac{1}{f} =\frac{1}{12} s[/tex]

The horizontal distance between the closest peak or trough, respectively, is referred to as the wavelength. A crest's distance from the closest tough was specified. The distance between a crest and the closest crest is therefore two times that distance.

This is the wave length :

λ=(2)(5)

=10cm

The wave velocity or wave speed is given by:

v = λf

v=(10)(12)

=120 cm/s

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3. Which kinematic equation should you use if you are trying to solve for time, but do not know displacement?

Answers

The kinematic equation should you use if you are trying to solve for time, but do not know displacement is v[f] = v[o] + at.

What is Kinematics?

Kinematics is the branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.

Given are the equations of motion.

If the displacement is not given, then we can solve for time using the first equation of motion given by -

v[f] = v[o] + at

In this equation, there is no term involving displacement. We can solve for time as follows -

v[f] = v[o] + at

v[f] - v[o] = at

t = (v[f] - v[o])/a

Therefore, the kinematic equation should you use if you are trying to solve for time, but do not know displacement is v[f] = v[o] + at.

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a twist of 4 n m is applied to the handle of the screwdriver. resolve this couple moment into a pair of couple forces f exerted on the handle and p exerted on the blade. (10 points)

Answers

For nuclear meeting It should be used on a school bus driver's handle. Adapt to the outcome this couple force into a couple moment occurred to be that implies that we must act now to find a better situation.

Open to a nuclear meeting It is intended to be used on a school bus driver's handle. respect the outcome This couple of forces occurred to be in a couple at this time. That suggests that at this moment, we need to discover a better situation and start acting.

And at this time, 400 people are throwing up. Toe in toe is what is known as a couple of forty meters. As the radius of the handle is 30 millimeters in this instance, you can translate it to meters and use the force to draw up on a spot rather four upon it. Are you in favor of addressing this issue? 1 33 nuclear will be Therefore, one till people comprehend that is supposed f.

Now, we must determine a slow speed consent business. Once more, a boardroom mingled. I am. Carletto is a PVR as well. In contrast to the original five meters, Cal critic M is supplied four on a separated radius of five millimeters.

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If an astronaut weighs 148 N on the Moon and 893 N on Earth,
then what is his mass on Earth?

Answers

Answer:

So, at moon g’=1.62 m/s^2

Therefore, mg’=99N (as given , where m is the mass )

so, m=99/1.62 =61.11 kg

hence, weight on earth will be mg( where g is the acceleration due to gravity at earth, 9.8m/s^2)

61.11*9.8=598.878 N will be the weight on earth

Explanation:

hope it helps

A negative charge of -200 C and a positive charge of 800 C are separated by 0.3 m. What is the force between the two charges? Is this force attractive or repulsive?

Answers

The electric force between the two charges is 1.6 x 10¹⁶ N  and it attractive.

What is electric force between the charges?

The electric force between the charges is determined by applying Coulomb's law of electrostatic force as shown below.

F = kq₁q₂/r²

where;

r is the distance between the chargesk is coulomb's constantF is the force between the charges

F = (9 x 10⁹ x 200 x 800) / (0.3²)

F = 1.6 x 10¹⁶ N

Thus, the electric force between the two charges is 1.6 x 10¹⁶ N  and it attractive.

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A car is coasting backward downhill at a speed of
3
.
0

m
/
s
when the driver gets the engine started. After
2
.
5

s
, the car is moving uphill at
4
.
5

m
/
s
. If uphill is chosen as the positive direction, what is the car’s average acceleration?

Answers

The car’s average acceleration is 3m/s².

What is the Car's average acceleration?

The average acceleration in the question measures the change in the velocity of the car by the time it used to cover the distance.

Average acceleration of the car is the change in the velocity of the car by the change in the time the car traveled.

ΔVelocity = 4.5m/s -( -3.0m/s)

                = 7.5m/s

The initial velocity is negative 3.0m/s as the car started  moving  backwards.

The time is 2.5s

The

The average acceleration of the car = 7.5m/s ÷ 2.5s

                                                            = 3m/s²

In summary, the car coasting backward downhill at an initial speed of 3.0 m/s would have an average acceleration of  3m/s² After increasing the speed to 4.5 m/s at a time of 2.5s.

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air is contained in a rigid tank with a volume of 2 m3, initially at 10 bar and 300 k. heat is transferred to the tank until its temperature reaches 400 k. during this process a pressure-relief valve allows air to escape and maintain the pressure constant at 10 bar. neglecting kinetic and potential energy variation e↵ects, and using ideal gas equations with constant specific heat at 300 k, determine, (a) the mass of air that escapes the tank (in kg), and (b) the amount of heat transferred to the tank.

Answers

Mass of air that escapes the tank is M =2.8075 kg and  the amount of heat transferred to the tank is Q = 1008.942 kj

In physics, mass is a numerical representation of inertia, which is a basic characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence. The change a force applies produces a change that is smaller the more mass a body has. The kilogramme, which is defined in terms of Planck's constant as equal to 6.62607015 1034 joule second, is the unit of mass in the International System of Units (SI). One kilogramme times one square metre per second squared is equivalent to one joule. Accurate measurements of Planck's constant are used to determine the kilogramme since the second and the metre are already defined in terms of other physical constants.When a body breaks up into fragments, the mass also breaks up into bits, thus the total mass of all the pieces equals the original mass.

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What is the frequency of light when the energy of a single photon is 1. 48 × 10-15 j?.

Answers

The frequency of light  is 3.88x10^23Hz

E = 1.55 x J/ mol

E = hv

v = (1.55 x /1mol  x 1mol/6.023 x )/6.626 x 10^34

velocity = 3.88x10^23 s-1

since 1 Hz = 1/ s = 1

velocity =3.88x10^23 Hz

The portion of the electromagnetic spectrum contains the electromagnetic radiation that the human eye perceives as light or visible light. Visible light typically possesses wavelengths between 400 and 700 nanometers (nm) or frequencies between 750 and 420 terahertz, which are halfway between infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).

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Sample question: What is the frequency of light when the energy for a mole of photons is 1. 55 × 1013 j?.

2 and 23/75 as a percentage

Answers

2 and 23/75 as a percentage is 2.30666666666. Hope this helps! :)

1. How does the transfer of momentum change when the velocity of the marble change?

2. How does the transfer of momentum change when the mass (number of marbles) changes?

3. How could you calculate the momentum of a single marble?

4. If two marbles together are moving at the same speed as a single marble which will have greater momentum and why?

5. Can momentum be shown as a vector? Explain why or why not?

Answers

The transfer of momentum increases when the velocity of the marble increases and vice versa.

The transfer of momentum increases when the mass (number of marbles) increases and vice versa.

The momentum of a single marble can be calculated from the product of its mass and velocity.

If two marbles together are moving at the same speed as a single marble, the two marbles will have greater momentum because of their greater mass.

Momentum can be shown as a vector because the direction of the momentum of a body is specified.

What is the momentum of a body?

The momentum of a body is the product of the mass and the velocity of the body.

Mathematically;

Momentum = mass * velocity

Since the velocity of an object is a vector, the momentum of a body is also a vector.

The momentum of a body is directly proportional to its mass and velocity.

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I’m not sure how to solve this equation but it’s about physics

Answers

The values of velocity at point  A,C,E and G is 15m/s, the values of velocity at point B, D, F and H is 10m/s, 20m/s, 30m/s and 40m/s respectively.

The projectile is launched from the top of the cliff with a horizontal velocity of 15m/s.

Throughout the motion of the projectile the velocity will have two components. On along vertical and one along horizontal.

Here, the direction of the acceleration is only downwards because only gravity is there and that in only downwards direction.

There is no acceleration in the horizontal direction. So, the velocity in the horizontal direction will never change.

So, the velocity at A,C,E and G is 15m/s throughout the motion.

We know that,

t = √(2h/g)

h = 1/2gt²

Where,

H is height of the cliff at that point,

t is the time,

g is gravity which is equal to 10m/s².

So, the height at point,

B is 1/2(10)(1)² = 5m

D is 1/2(10)(2)² = 20m

F is 1/2(10)(3)² = 45m

H is 1/2(10)(4)² = 50m.

The vertical velocity can be found by using the formula,

V = √2gh

So, vertical velocity at point,

B is √2(10)(5) = 10m/s.

D is √2(10)(20) = 20m/s.

F is √2(10)(45) = 30m/s.

H is √2(10)(80) = 40m/s.

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You are sitting on a couch watching TV, and although your little sister can not produce enough force to get you to move over, your dad can. This situation is a metaphor for which of Newton's laws of motion?

The law of acceleration
The law of action-reaction
The law of gravity
The law of motion

Answers

The situation provided to us is a metaphor for Newton's first law of motion.

Newton's law of motion consists of three laws for the motion of a body, Where Newton's first law of motion states that An object at rest remains at rest, and an object in motion remains in movement at a steady speed and in a straight line unless acted on by an unequal force. Newton’s first law states that each object will stay at rest or in uniform motion in a straight line unless compelled to alter its state by the action of an outside drive. This tendency to stand up to changes in a state of motion is inertia. On the off chance that all the outside strengths cancel each other out, then there's no net drive acting on the object. In case there's no net constraint acting on the object, at that point the object will keep up a consistent speed.

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an airplane that is flying level needs to accelerate from a speed of 200 m/s to a speed of 240 m/s while it flies a distance of 1200 m. what must the constant acceleration of the plane be?

Answers

The constant acceleration of the plane is 7.33 m/[tex]s^{2}[/tex].

Use this formula of acceleration, [tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2as

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2as,

a =  [tex]v^{2}[/tex] - [tex]u^{2}[/tex]   / 2s

v = velocity

s = distance

a = acceleration

Put the values in this formula, a =  [tex]v^{2}[/tex] = [tex]u^{2}[/tex]  / 2s

a = (240× 240) - (200 × 200)/ 2 × 1200

a = 7.33 m/[tex]s^{2}[/tex]

Hence, the constant acceleration of the plane is 7.33 m/[tex]s^{2}[/tex].

Acceleration is the rate of change of velocity per unit time. It is vector quantity and its S.I. unit is m/[tex]s^{2}[/tex].

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Carlos does a chin-up in gym class and raises himself 0.8 m. If Carlos has a mass of 62 kg how much work does he accomplish?​

Answers

Answer:486.1 J

Explanation:

(Celestial body all natural bodies visible in the sky outside the earth atmosphere constitute the celestial bodies example stars planets their moon comet asteroid meteors)
Is artificial satellite a Celestial body
Celestial bodies are natural bodies so can we say artificial satellite is not a Celestial body??

Answers

An artificial satellite can be called a celestial body as it orbits around a planet.

Objects in space such as the sun, moon, planets, and stars are known as celestial bodies or heavenly bodies. Satellites are revolving bodies that orbit planets. They are the fundamental component of celestial bodies. These could be transmitted by humans or be of natural origin.

The moon orbits the earth as a natural satellite because it is held in place by the gravity of the planet. Additionally, man has positioned artificial or man-made satellites in orbit around the earth and other planets for communication and scientific research.

As a artificial satellite also orbits around a natural celestial body, it can be called as a celestial body.

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in astronomy, it is important to look for trends in your data. based on the average latitude and rotation period of each sunspot, what is the trend for rotation period as it relates to latitude?

Answers

A time of "solar maximum" (or "solar max") is when the number of sunspots peaks, whereas a time of "solar minimum" is when they are few (or "solar min").

Every year, a different amount of sunspots are seen on the "surface" of the Sun. This cycle, which has an average duration of about eleven years, explains the rise and decline in sunspots counts. The "Sunspot Cycle" is the term used to describe the cyclical change in sunspot counts that was first observed in 1843 by German amateur astronomer Samuel Heinrich Schwabe. A time of "solar maximum" (or "solar max") is when the number of sunspots peaks, whereas a time of "solar minimum" is when they are few (or "solar min").

A recent sunspot cycle, for instance, lasted from the solar minimum in 1986, when 13 sunspots were observed, to the solar max in 1989, when more than 157 sunspots surfaced, and on to the subsequent solar minimum in 1996 (ten years after the solar minimum in 1986), when the number of sunspots had decreased to less than 9.

Through the course of the sunspot cycle, both the quantity and location of sunspots change. Sunspots typically start to emerge around a latitude of 15° closer to the equator as the solar cycle advances through solar max. Sunspots begin to appear relatively close to the solar equator, at about 7° North and South latitude, as the cycle comes to an end and solar min is once again approaching.

Around solar min, when sunspots of the current cycle are forming at low latitudes and sunspots of the next cycle are starting to form at high latitudes once more, there is frequently an overlap in this latitudinal migration tendency. Spörer's Law is the name given to the progressive equatorward drift of sunspots that occurs throughout the sunspot cycle and was originally observed in the early 1860s by the German astronomer Gustav Spörer and the Englishman Richard Christopher Carrington. Another English astronomer, Edward Walter Maunder, created the first "butterfly diagram" in 1904, which was a pictorial representation of this trend in sunspot migration.

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The location of magnetic north changes over time in its relation to true north. This angular difference between magnetic north and true north is called.

Answers

The angular difference between true north and magnetic north is called declination.

What is declination?

Declination is the said to be the angle between magnetic north and geographic north in the horizontal plane that changes with time and geographic location. The true north or geographic north is a fixed point on the globe that points towards the north pole directly while the magnetic north unlike the true north changes over time, and it is the direction a compact needle points to as it aligns with the earth's magnetic field.

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25 Which wavefront is travelling at a speed closest to that of a sound wave through a solid? A one that moves 10m in 0.01 s B one that moves 50m in 0.5s C one that moves 1000 m in 100 s D one that moves 2000 m in 2000 s ​

Answers

The wavefront B is travelling at the speed(5000m/s) closest to that of a sound wave(6000m/s) travelling through solid.

The velocity of the sound waves in solids is nearly 6000 meters per second.

Let us check the velocity for all the three wave fronts,,

Wavefront A,

We know,

speed = distance/time taken

Distance travelled by the wavefront A is 10m,

Time taken by the wavefront A to travel the distance is 0.01 seconds,

Putting all the values,

Speed = 10/0.01

Speed = 1000m/s.

Speed of wavefront A is 1000m/s.

Wavefront B,

Again we know,

speed = distance/time taken

Distance travelled by the wavefront Bis 50m,

Time taken by the wavefront B to travel the distance is 0.01 seconds,

Putting all the values,

Speed = 50/0.01

Speed = 5000m/s.

Speed of wavefront B is 5000m/s.

Wavefront C,

We know,

speed = distance/time taken

Distance travelled by the wavefront C is 1000m,

Time taken by the wavefront C to travel the distance is 100 seconds,

Putting all the values,

Speed = 1000/100

Speed = 10m/s.

Speed of wavefront C is 10m/s.

Wavefront D,

Again using the formula,

speed = distance/time taken

Distance travelled by the wavefront is 2000m,

Time taken by the wavefront to travel the distance is 2000 seconds,

Putting all the values,

Speed = 2000/2000

Speed = 1m/s.

Speed of wavefront D is 1m/s.

As we can see, The speed of wavefront B is closest to the speed of sound waves in solids.

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