what is the order of the differential equation that models the free vibrations of a spring-mass-damper system?

Answers

Answer 1

The order of the differential equation that models the free vibrations of a spring-mass-damper system is 2.

This is because the motion of the system can be described by Newton's second law of motion, which relates the force acting on an object to its acceleration.

In the case of a spring-mass-damper system, the force is the sum of the forces due to the spring, the mass, and the damper, and the acceleration is the second derivative of the position with respect to time.

Therefore, the resulting differential equation is a second-order differential equation.

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Related Questions

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answers

Answer:

5.2 Ω.

Explanation:

What is the resistance for each resistor

Since the resistors are connected in series and each have resistance R, and their equivalent resistance is R' = 15.6 Ω.

Since they are connected in series, R' = R₁ + R₂ + R₃

Since R₁ = R₂ = R₃ = R

R' = R + R + R = 3R

R' = 3R

R = R'/3

R =  15.6 Ω/3

R =  5.2 Ω

So, the resistance of each resistor is 5.2 Ω.

Based from the flow chart, what can you generalize about the formation of typhoons? How do typhoons develop?

Answers

Answer: Warm water from the ocean is needed to develop typhoon

Pls Rate this as Brilliant Answer thank you :) keep on learning

Typhoons form when strong winds blow into warm areas of the ocean. These winds pick up moisture and rise, bringing colder air with them. This creates pressure, causing the winds to move quickly. The winds revolve or spin around a central point known as an eye.

What is typhoon ?

A typhoon is a mature tropical cyclone that forms in the Northern Hemisphere between 180° and 100°E. The Northwestern Pacific Basin is the most active tropical cyclone basin on Earth, accounting for nearly one-third of the world's annual tropical cyclones.

The Philippines is just above the equator and faces the western Pacific, with little else to absorb storm energy before it reaches land. Storms are fueled by warm, tropical waters, which produce approximately 20 typhoons per year.

Hurricanes and typhoons can wreak havoc on coastlines and hundreds of miles inland. They can generate winds of up to 155 mph, as well as tornadoes and microbursts.

Thus, Typhoons form when strong winds blow into warm areas of the ocean.

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plzz answer fast, plzz help mee
Will mark as brainliest !! plz answer it
Plzzz answer with explnation!!!

the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth

b) 1/4 of the radius of earth

c) 1/8 of the radius of earth

Answers

C) 1/8 of the radius of earth. Why? Well, the closer you get to the core of the earth, the stronger the gravitational field (acceleration due to gravity) is. Why? Because of Newton’s law of Gravitation:
Fg = GMm/r^2; as r decreases, Fg increases, and so does g.

Please mark as brainliest thank you!

A 2.0kg pendulum swings from point A of a height of 0.10m to a point B of the same height. The heights are relative to the lowerst height. What is the change in gravitational potential energy from A to B?

Answers

Please press “Thanks!” after viewing my answer:
The change in Gravitational Potential Energy (GPE) is actually 0! Think about it:
What is the formula for it?
Well, GPE = mgh.
So, when the height is the same in both cases, we know the gravitational potential energy is the same. Therefore, change in GPE = 0.
Sure, GPE did transform to KE during the swing, but all of that KE transformed back into the original amount of GPE.

Hope this helped! Please press “Thanks!”

A 2.0 kg pendulum swings from point A of height yA = 0.10 m to point B of the same height. The heights are relative to the lowest height.

What is the change in gravitational potential energy from A to B?

Answer: 0 J

a load of 600 kg is lifted by a carne up to 60 meters in 6 minutes . calculate it work and power.​

Answers

Explanation:

work=force*distance. force=load/10

___________

work=60*60=3600n

power=work/time(seconds)

Powe required is 1000

Explanation:

-Given: M= 600kg               H: 60

-Time of operation: t = 6 min = 360 seconds

-Work done in lifting boxes: w= mgh (600 x 10 x 60) = 360,000

-Power required: p=[tex]\frac{w}{t} = \frac{360000}{360} = 1000[/tex]

if a person is 6.25 m away from a 60.0 w speaker, what is the sound level they are hearing?
(treat the speaker as a point source.)

Answers

Answer:

111dB

Explanation:

First, find the intensity of the sound using the formula I = Power / 4 x pi x radius ^2

So

60.0 / (4 x 3.14 (6.25)^2)

= 0.122

Then plug that into the equation to find sound level, which is 10log( I / Io)

Io being (1 x 10^-12)

So

10log(0.122 / 1 x 10^-12)

= 111dB

Hope this helps :)

How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J

Answers

Answer:B

Explanation:

READ ALL PLEASE

So I have been giving away points

But now that i have a lot I shall do another points give away yes

Now hurry and add a answer :V

Answers

Answer:

can I have please I will follow u..............

Which of the following Resistors A, B, C or D, would use the least power? Make
your claim, give evidence and explain your reasoning. You may use math to support
your claim.
Please Help.

Answers

i think the answer is D 10.0

You have two lens A and B of focal length +50cm and -50cm respectively. The nature and power of the lenses respectively isa. Concave, -2 D ; Convex, +2 D b. Convex, +2 D; Concave, - 2 D

Answers

Answer:

Concave, +2D

Convex -2D

Explanation:

Power of a lens is the reciprocal of its focal length.

For lens of +50cm = 0.5m

Power of the lens = 1/0.5

Power of the lens = +2Dioptres

Since the focal length is positive, the lens is concave

For the lens of -50cm = -0.5m

Power = 1/-0.5

Power = -2D dioptres

Since the focal length is negative, the lens is convex

ANSWER QUCIK
PLS THANK YOU

Answers

Electrical energy in the charger and cable

Chemical energy in the battery of the mobile phone

Let the displacement function of a particle is x(t)=(20t^2-15t+200). Find the total displacement, instantaneous velocity and instantaneous acceleration​

Answers

Answer:

A.) 39.5 m

B.) 0

C.) 60m/s^2

Explanation:

Given that a displacement function of a particle is x(t)=(20t^2-15t+200).

To Find the total displacement,

Reduce everything by dividing them by 5

X(t) = 4t^2 - 3t + 40 ...... (1)

For instantaneous velocity, differentiate x(t). That is,

dy/dt = 60t - 15 ...... (2)

But dy/dt = velocity.

If dy/dt = 0, then

60t - 15 = 0

60t = 15

t = 15/60

t = 0.25s

Substitutes t in equation (1)

Total displacement will be

X(t) = 4(0.25)^2 - 3(0.25) + 40

X(t) = 0.25 - 0.75 + 40

Total displacement = 39.5 m

To calculate instantaneous velocity, substitute t into equation (2)

V = 60 (0.25) - 15

V = 0.

and to find instantaneous acceleration, differentiate dv/dt

dv/dt = 60

Therefore, acceleration = 60 m/s^2

ANSWER THE ALL THE QUESTIONS IN THE FOLLOWING FOR 90 POINTS!

Answers

25

89

105

99

I don't know. I'm sorry

i’m like kinda bad at physics so ya please help

Answers

Answer:

99 joules.

Explanation:

Let m denotes mass of the object and v denotes velocity.

If mass has units of kilograms and the velocity has units of meters per second then the kinetic energy has units of joules.

Kinetic energy is an energy possessed by a body in motion.

Mass (m) = 99 kg

Velocity (v) = 2 m/s

To find kinetic energy, use the following formula:

Kinetic energy = [tex]\frac{1}{2}mv^2=\frac{1}{2}(99)(2)=99[/tex] joules

A 12 kg object speeds up from an initial velocity of 10 m/s north to a final velocity of 15 m/s north. Calculate the change in momentum

Answers

Answer:

60m/s

Explanation:

momentum = Mass × Velocity

Initial Momentum = 12 × 10

= 120

Final Momentum = 12×15

=180

Change in Momentum = 180 - 120

= 60m/s

Answer:

60

Explanation:

formula for change in momentum = F =∆p/∆t

F∆t = ∆p

∆p = m(v - Vo)

∆p = 12(15-10)

=12(5)= 60

Please help!!!!!!:>>>>>>

Answers

Answer: 6V

Explanation: parallel circuit, the voltage is the same for each resistor.

An 850 kg elevator is accelerating upwards at 3.0 m/s2. Calculate the tension in the cable.

Answers

Answer:

10880N

Explanation:

We are given that

Mass of elevator, m=850 kg

Acceleration, [tex]a=3m/s^2[/tex]

[tex]g=9.8m/s^2[/tex]

We have to find the tension in the cable.

We know that

When elevator is accelerating upward then tension in the cable

[tex]T=m(a+g)[/tex]

Using the formula

[tex]T=850(3+9.8)[/tex]

[tex]T=10880N[/tex]

Someone Help me please

Answers

Answer:

a) Yes because spiderman isn’t part of the system (the train), so he exerts an external force on the system, causing it to slow. The sign is negative because the train is slowing negative.

b) The train was initially moving, so it had kinetic energy, the energy of movement. There isn’t the same amount anymore because spiderman did work onto the train. Work is defined by the change of kinetic energy of the system, so the train didn’t have the same amount of that type of energy at the end.

I hope this helps! :)

A 6000 kg African elephant walks 13 meter
around the park. Determine the acceleration of
an African elephant in m/s2 if it has a work
done of 500J.

Answers

It is 18 because 500j

What type of wave is this. I can figure it out

Answers

Transverse wave is the correct option


A clock which has a brass pendulum beats second correctly when the temperature of
the room is 30°c. It gains the time 15.55 sec per day when the temperature of the
rooms falls to 10°C. Find the linear expansivity of brass.​

Answers

Answer:

- 0.0481666 °C^-1

Explanation:

Linear expansivity of brass, α

α = (2T - 2T0) / T0.dt

T0 = 30°

dt = change in temperature = 30 - 10 = 20°C

T = 15.55 sec

α = (2*15.55 - 2*30) / 30*20

α = (31.1 - 60) / 600

α = - 28.9 / 600

α = - 0.0481666 °C^-1

A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from

the opposite direction of 22 m/s. The baseball and the tennis ball have a

final speed of 1.2 m/s and 13 m/s respectively, both to the right.

What is the mass of the tennis ball?

(w/solution)

Answers

Let’s use *queue dramatic voice* THE GREAT LAW OF THE CONSERVATION OF MOMENTUM!!!!!

m1v1i + m2v2i = m1v1f + m2v2f

m1v1i - m1v1f = m2(v2f - v2i)

m2 = (m1v1i - m1v1f) / (v2f - v2i)

m2 = [(0.15)(15) - (0.15)(1.2)] / (13 - -22)

Henceforth, my good sire, the mass indeed works out to a fine approximate value of:
m = 0.06 kg

That’s a pretty small tennis ball!

pls help i’ll give brainliest if you give a correct answer!!

Answers

the answer is south because the air friction is the opposite side of where the plane is going if that makes sense
D.South maybe I hope it’s right

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer: The gravitational force acting on the table.

Explanation:

A spring with k = 33.5 N/m has a
1.20 kg mass attached. It is pulled
0.120 m and released. How much
mechanical energy does it have?
(Unit = J)

Answers

Answer:

M.E = 0.241 Joules.

Explanation:

Given the following data;

Spring constant, k = 33.5 N/m

Extension, e = 0.12m

Mass = 1.20kg

To find the mechanical energy (M.E);

Mathematically, mechanical energy is given by this formula;

M.E = ½ke²

Where;

k is the constant of elasticity (spring constant). e is the extension of the string.  

Substituting into the equation, we have;

M.E = ½*33.5*0.12²

M.E = ½*33.5*0.0144

M.E = 0.4824/2

M.E = 0.241 Joules.

Car manufacturers use radiation for which task? sealing windows drying paint cleaning tires lubricating engines

Answers

Answer: drying paint

Explanation:

From the options that are given in the question, we should note that car manufacturers use radiation for drying paint.

The radiation is vital as it keeps the car cool and also helps in the reduction if heat in the vehicle. The other options such as sealing windows, cleaning tires and lubricating engines aren't true as radiation isn't used for that purpose by the car manufacturers.

Answer:

drying paint

Explanation:

If the total force acts in the opposite direction as the cabinet is sliding, the cabinet would

A) slow down
B) speed up
C) remains the same speed
D) slow down, change direction and then speed up going the other way
E) remains the same speed, but changes direction

Answers

D. It will slow down against the acting force . But increase speed once moving the same direction as the force

Identify the following as
Potential Energy or Kinetic Energy
1. A car in the driveway. Potential energy
2. Matt rolling down a hill. Kinetic energy
3. Katie and Leo kissing.
4. A battery on my desk.
5. The water just before it goes down a waterfall.
6. A lawnmower running.
7. Mrs. Rey yelling at you.
8.A toy
9.A table with a spread of food
10. The kids playing on the bus.

Answers

3. Kinetic energy
4. Potential energy
5. Kinetic energy because it’s moving towards the waterfall otherwise there wouldn’t be a waterfall.
6. Kinetic energy
7. Kinetic energy
8. Potential energy
9. Potential energy
10. Kinetic energy

An object’s momentum includes its __________.

Answers

Answer: Momentum can be defined as "mass in motion

Explanation:

PLEASEEE HURRY!!
Can you tell me How the sun is responsible for all of the energy here on Earth?

Answers

Answer:

Explanation:

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays.

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