A block attached to a spring with an unknown spring constant oscillates with a period of 2.0 s. What is the period if

Answers

Answer 1

Answer:

a) If the mass is doubled, then the period is increased by [tex]\sqrt{2}[/tex]. Hence, the period of the system is 2.828 seconds.

b) If the mass is halved, then the period is reduced by [tex]\frac{\sqrt{2}}{2}[/tex]. Hence, the period of the system is 1.414 seconds.

c) The period of the system does not depend on amplitude. Hence, the period of the system is 2 seconds.

d) If the spring constant is doubled, then the period is reduced by [tex]\frac{\sqrt{2}}{2}[/tex]. Hence, the period of the system is 1.414 seconds.

Explanation:

The statement is incomplete. We proceed to present the complete statement: A block attached to a spring with unknown spring constant oscillates with a period of 2.00 s. What is the period if a. The mass is doubled? b. The mass is halved? c. The amplitude is doubled? d. The spring constant is doubled?

We have a block-spring system, whose angular frequency ([tex]\omega[/tex]) is defined by the following formula:

[tex]\omega = \sqrt{\frac{k}{m} }[/tex] (1)

Where:

[tex]k[/tex] - Spring constant, measured in newtons per meter.

[tex]m[/tex] - Mass, measured in kilograms.

And the period ([tex]T[/tex]), measured in seconds, is determined by the following expression:

[tex]T = \frac{2\pi}{\omega}[/tex] (2)

By applying (1) in (2), we get the following formula:

[tex]T = 2\pi\cdot \sqrt{\frac{m}{k} }[/tex]

a) If the mass is doubled, then the period is increased by [tex]\sqrt{2}[/tex]. Hence, the period of the system is 2.828 seconds.

b) If the mass is halved, then the period is reduced by [tex]\frac{\sqrt{2}}{2}[/tex]. Hence, the period of the system is 1.414 seconds.

c) The period of the system does not depend on amplitude. Hence, the period of the system is 2 seconds.

d) If the spring constant is doubled, then the period is reduced by [tex]\frac{\sqrt{2}}{2}[/tex]. Hence, the period of the system is 1.414 seconds.


Related Questions

A 20N bucket is accelerated upward out of a well, by a rope with a force of 75N. What is the acceleration of the bucket

Answers

Answer:

36.76m/s²

Explanation:

Given

Weight of the bucket = 20N

Mass = Weight/acceleration due to gravity

Mass = 20/9.8

Mass = 2.04kg

Applied force = 75N

Get the acceleration

According to Newton's second law:

F = ma

a = F/m

a = 75/2.04

a = 36.76m/s²

Hence the acceleration of the bucket is 36.76m/s²

A force of 600N is used to slide a sled across a floor 20 meters . The rope pulling the sled is held at 35 * . How much work does the force do?

Answers

Answer:

9830 J

Explanation:

(Just a tip, you should use the degree symbol ° instead of *)

That being said we know W = F*d*cos(θ). In this case θ = 35°.

W = F*d*cos(θ) = 600*20*cos(35)

                         = 12000*cos(35)

                         = 9829.925 Joules

Solution: Work ≈ 9830 J

WILL MARK BRAINLIEST
TRUE or FALSE?If you are an astronaut slowly drifting away from the space station, you might be able to drift back to the station by throwing a 5-kg tool rapidly in the direction that you are traveling (away from the station).

Answers

Answer:

yes every action as an equal and and opposite reaction. if you throw a tool then it will give you a reaction and you will move back.

Explanation:

According to Newton's third law of motion, when two bodies interact between them, appear equal forces and opposite senses in each of them.  

To understand it better:  

Each time a body or object exerts a force on a second body or object, it (the second body) will exert a force of equal magnitude but in the opposite direction on the first.  

So, if you as an astronaut in the described situation throw your tool  in the direction that you are traveling (in the opposite direction of the space station), according to Newton's third law, you will be automatically moving towards the station

How is the 3rd law different from the 1st and 2nd laws?

Answers

Answer:

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Explanation:

What factors affect the amount of potential energy an object has?

Answers

Answer:

The factors that affect an object's gravitational potential energy are its height relative to some reference point, its mass, and the strength of the gravitational field it is in.

Explanation:

The factors that affect the amount of potential energy an object has are its mass, gravity, and height. This is further explained below.

What is potential energy?

Generally, potential energy is simply defined as the energy held by a body as a result of its location with relation to others, internal tensions, electric charge, and other elements

In conclusion, The potential energy of a body is given by P.E=mgh

Read more about Energy

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PLEASE HELP !!!! Calculate the gravitational force between two objects when they are 0.850m apart. Each object has a mass of 6.00kg.

1. 2.96 x 10^-7
2. 2.22 x 10 ^-9
3. 3.3x10^-9N
4. 2.23x10^-8N

Answers

Answer: Choice 3

Formula: Fg = G[(m1•m2)/(r^2)]
Given:
r = 0.850m
m1 = 6 kg
m2= 6 kg
G = 6.674 • 10^-11

Fg= 6.674 • 10^-11[(6•6)/(0.850^2)]
= 6.674 • 10^-11[36/0.7225]
= 3.32545328 • 10^-9
= 3.33 • 10^-9 N

which statement best describes a chemical reaction?​

Answers

Answer:

a chemical reaction is a reaction that happens between two objects, like fire and a potion in chemistry

Explanation:

the reason is that the the fire causes the chemical to react, making a chemical reaction

A chemical changing

newton's first law equations like velocity and stuff like that

Answers

Answer:

Newton's first law: An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force. ... An object sliding across a table or floor slows down due to the net force of friction acting on the object.

Explanation:

please give me a heart

A bird flying towards its nest has a mass of 0.25kg and a kinetic energy of 40.5J. What is the speed of the bird?

Answers

18 m/s
Hope it’s correct

What is the acceleration of a 7 kg mass if the force of 70 N is used to move it toward the Earth?

Answers

Answer:

10 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

m is the mass

f is the force

From the question we have

[tex]a = \frac{70}{7} = 10 \\ [/tex]

We have the final answer as

10 m/s²

Hope this helps you

A compact car moving at 60 m/s has 320,000 J of kinetic energy. What is its mass?

Answers

Answer:

320,000J

Explanation:

mass=320,000J

A gas has a pressure of 150 kPa at a volume of 6 m3. Calculate the volume of the same mass of gas at a pressure of 425 kPa

Answers

Answer:

V2 = 2.12 m³

Explanation:

Given the following data;

Original pressure, P1 = 150 kPa

New pressure, P2 = 425 kPa

Original volume, V1 = 6 m³

To find the new volume V2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

[tex] PV = K[/tex]

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

Substituting into the equation, we have;

[tex] 150 * 6 = 425V_{2} [/tex]

[tex] 900 = 425V_{2} [/tex]

[tex] 900 = 425V_{2} [/tex]

[tex] V_{2} = \frac {900}{425}[/tex]

[tex] V_{2} = 2.12[/tex]

Therefore, the new volume of the mass of gas is 2.12 cubic metre.

Define the difference between an independent variable (test variable) and a dependent variable (outcome variable) in a scientific experiment.

Answers

Answer:

Independent- isn't effected by the other variables and is changeable

dependent- is the outcome of the expirment and depends on the other variables

Answer:

a factor that changes due to the independent variable

Explanation:

The Electron Cloud Model shows shaded regions of probabilty where the electons most likely are at a given point in time. True False

Answers

Answer:

True

Explanation:

The statement is true because According to Schrödinger it's not possible to get the exact position of where an electron is located. However, he showed from an equation that we can at determine the most likely area where an electron will be and he said they are most likely to be in the most dense area of the clouds.

Answer:

it is true

Explanation:

If a galaxy is located 200 million light years from Earth, what can you conclude about
the light from that galaxy?

A. The light will travel a total of 200 million kilometers to reach Earth.

B. The light will travel 200 million kilometers per second to reach Earth.

C. The light will travel a total of 300,000 kilometers to reach Earth.

D. The light will take 200 million years to reach Earth.

please help :(

Answers

Answer:

D

Explanation:

It's quite simple actually, you see, what light years basically means is how many years light takes to travel from point a to point b. So here it says that a galaxy is 200 million light years away. So since that light is 200 million years away, it would take 200 million years until that light reaches us.

The interval shown here represents a _____.



strong base
weak base
weak acid
strong acid

Answers

Answer:

Strong acid

Explanation:

.... ..............

Either strong acid or sting base

Which shows increasing entropy?

mowing a lawn
folding clothes
falling leaves
washing dishes

Answers

Answer:

mowing a lawn

Explanation:

Entropy is the degree of disorderliness of a system. As a body moves from a more ordered state to a less ordered one, the entropy of the system increases.

Mowing a lawn is a typical example of increasing entropy. When a lawn is being mowed, the grasses becomes disordered without any fixed orientation. Folding a clothe is trying to bring orderliness to the clothe patterning. Washing dishes will make one arrange them in an ordered way. Falling leaves brings leaves together.

Answer:

Falling leaves!

Explanation:

I got it right on EDGE2021. ^^ Hope it helps!~ Remember, I'm proud of you. <3

what is the significance of the similar number and arrangement of bones in human arm and a bat wing

Answers

The significance of the arrangement of bones in a human arm and a bat wing is that humans and bats share a common ancestor.

if F = -F represents Newton's third law, then "-F" represents the ________

a. opposite
b. leading

Answers

Answer:

opposite .

Explanation:

Answer: The answer is a) opposite

Explanation: I just completed the USA Test Prep and got a 100! :))

How do fossils provide evidence of continental drift?

A. Similar fossils are found all over the world.

B. The same fossils were found on land and under the ocean.

C. The same fossils were found on different continents.

D. The fossils show a record of climate change.

Answers

C explanation: There are many examples of fossils found on separate continents and nowhere else, suggesting the continents were once joined. If Continental Drift had not occurred, the alternative explanations would be: They swam to the other continent/s in breeding pairs to establish a second population. ...

Hi I need help with this question (see image ). Please show workings if necessary.​

Answers

9514 1404 393

Answer:

  63.4 °C

Explanation:

If we assume the "fixed points" are 0 °C and 100 °C, then the thermometer reading as a function of actual temperature can be described by a linear equation that must have (0, -0.5) and (100, 106) as solutions. We can use these points in the 2-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (106 -(-0.5))/(100 -0)(x -0) -0.5

  y = 106.5x -0.5

Then, for x = 60, the thermometer reading is expected to be ...

  y = 106.5×60 -0.5 = 63.4 . . . °C

Need answer ASAP!!!
Will give the brainliest for the correct answer!!!

What is the current of a circuit it the resistance is 20 ohms and the voltage is 100 V?​

Answers

Hello!

Use ohm law:

I = V / R

Replacing:

I = 100 V / 20 O

I = 5 A

The current is 5 amperes.

WILL MARK BRAINLIEST!
TRUE or FALSE? When a large truck pushes a small car with a given force, the small car is applying an equal and opposite force on the truck.

Answers

Answer:

True

Explanation:

Newton's first law of motion states that an object at rest will stay at rest unless acted upon by an outside force.

Answer:

When a large truck pushes a small car with a given force, the small car is applying an equal and opposite force on the truck. Newton's first law of motion states that an object at rest will stay at rest unless acted upon by an outside force.

Explanation:

so its true

A force off 700 newtons is applied to a 600 kg bowling ball. What is the acceleration of the bowling ball once the force is applied?

Answers

Answer:

1.17 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{700}{600} = \frac{7}{6} \\ = 1.1666666...[/tex]

We have the final answer as

1.17 m/s²

Hope this helps you

Food that is cooked properly can no longer be contained. True or false

Answers

Answer:

true they can no longer be contained

2 / 3
133%
Choose the correct answer for the following sentences and give the
reason for your answer.(10 marks)
(i) The product of power into focal length for a lens is equal to
(ii)
(a) One (b) ten
(c) one hundred
The human eye has a lens of focal length +5 cm. The power of the
eye is
(a) 0.05 D
(b) 5 D
(c) 20 D
A transparent rod in which successive total internal reflection can
occur is called
(a) A light pipe (b) a thin prism (c) total internal
reflection
The wavelength of visible light is between
(a) 400 nm to 700 nm (b) 40 km and 70 km (c) 20 mm to 200
(iv)
mm
(v)
The SI unit for wave intensity is
(a) Js
(b) Wm?
-1
(c) Wmk1

Answers

Answer:

Explanation:

   

What is the difference between epicenter and focus?

Answers

Answer:

The hypocenter is the point within the earth where an earthquake rupture starts. The epicenter is the point directly above it at the surface of the Earth. Also commonly termed the focus.

Explanation:

find momentum, when mass = 20kg and velocity = 5 m/ sec ?​

Answers

Answer:

the momentum is 100 bas p=mv

Select the correct images. Which images show chemical reactions?

Melting ice
mixer, nuts, bolts, washers
rusted nails
pastries

Answers

Answer:

Here you go! Hope it Helps

Explanation:

mixer, nuts, bolts, washers

and

rusted nails

Answer:

The Correct answer is rusted nails and pastries

Explanation:

I know because I had this as one of my questions and I did rusted nails and pastries and got it correct.

Hope this helps! :)

The more conductive an object is, the easier it is for neutrons to go through the object.
True
False

Answers

Answer:

false bcz neutrons do not move they r fixed in nucleus so it will. Fallse

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