Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Hooke's law :
F=-K.X

Periodic MotionThis Question Is About The Stretching Of SpringsThe Diagram Below Shows An Unblocked Spring

Answers

Answer 1

The value of x is 0.04m and restoring force is 9 N

(a) From the figure, the spring force balances force due to gravity.

    So, [tex]\frac{1}{2} kX^{2} = mg[/tex]

    Where, k = spring constant = 50N/m

                 X = compressed distance = L+x = 0.1+x

                 m = mass = 50 g = 0.05Kg

                 g = acceleration due to gravity = 10

Putting these values in above equation, we get: x= 0.04m

(b) Using Hooke's law, F = kx

     Where, k = spring constant =50N/m

                  x = distance = 180mm = 0.18 m

    Putting these values in above equation, we get restoring force F = 9N

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Related Questions

a boy of 40kg and a girl of a mass an unknown mass plays on a seesaw of negligible weigh. If the boy sits 300cm from the pivot and the girl sits 400m from the pivot what is the mass of the girl in order for the seesaw to be in equilibrium

Answers

The mass of the girl is 30 kg  in order for the seesaw to be in equilibrium.

What is seesaw?

A particular kind of lever is a seesaw, which has a long beam coupled to a pivot known as the fulcrum.

As soon as you sit on one side of the beam and apply weight on one end, the beam falls to the ground. This is because the weight of your body is being pulled down by the force of gravity, along with the beam.

Let the  mass of the girl = m kg

In equilibrium;

40 kg × 300 cm = m × 400 cm

⇒ m = 30 kg.

Hence,  the mass of the girl is 30 kg.

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Find the full load primary and secondary current of a 230/115V, 2kVA transformer.​

Answers

The full load primary current of a 230/115V, 2kVA transformer can be calculated using the formula:

I_primary = (2kVA * 1000 VA/kVA) / (230V)

I_primary = 8.7V

The full load secondary current of the transformer can be calculated using the formula:

I_secondary = (2kVA * 1000 VA/kVA) / (115V)

I_secondary = 17.4V

Therefore, the full-load primary current of the transformer is approximately 8.7V, and the full-load secondary current is approximately 17.4V. It is important to note that these values are based on the assumption that the transformer is operating at its full load capacity. If the transformer is operating at a lower load, the primary and secondary currents will be correspondingly lower.

An engine develops 500 Nm of torque at 3900 rev/min. The power developed by the engine is ...

Answers

Answer:

204kW

Explanation:

P = t x ω = 500 x (2πx3900/60) = 204203W = 204kW

The power developed by the engine is equal to 204.1 KW.

What is the relation between power and torque?

Torque can be defined as the rotational equivalence of linear force while power is defined as the rate of doing work. The relation between torque and power scalar product of torque and angular velocity.

The relation between power and torque can be expressed mathematically as:

[tex]{\displaystyle {P = \tau \times \omega[/tex]

Where P is the power which is work done per unit of time, τ is the torque, and ω is the angular velocity.

Given, the torque that the engine develops, τ = 500 Nm

The angular velocity, ω =  3900 rev/min

ω =  3900 × 2×3.14/60

ω =  408.2 rad/s

The power developed by the engine can be calculated as:

P = 500 Nm ×  408.2 rad/s

P = 2041100 W

P = 204.1 KW

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explained why the thread behaves in this manner​

Answers

Thread? This? I think you forgot the picture

what happened to the weight of an object when it is taken from Earth to the Moon? why?

Answers

Answer:

the weight of the object decreases when it is taken from the Earth to the Moon

Explanation:

The weight of an object is defined as the product of the mass of the object with the acceleration due to gravity of the Planet.

[tex]W =mg[/tex]

where,

W = weight of the object

m = mass of the object

g = acceleration due to gravity on the planet

The mass of an object remains constant everywhere in the universe. Therefore, the weight is directly proportional to the value of acceleration due to gravity.

The value of acceleration due to gravity on the Moon is lesser than its value on the Earth.

Hence, the weight of the object decreases when it is taken from the Earth to the Moon

What conditions determine which process occurs in a cell?

Answers

The conditions that determine which process occurs in a cell are largely based on the environment and the needs of the cell.

What is cell?

A cell is the basic unit of life. It is the smallest unit of an organism that is capable of independent functioning. Cells are composed of a variety of molecules, including proteins, lipids, carbohydrates, and nucleic acids. Cells are able to carry out functions such as energy production, metabolism, growth and division, movement, and communication.

These conditions include the availability of nutrients, the presence or absence of specific signaling molecules, the amount of oxygen, and the temperature. In addition, the genetic makeup of the cell and its response to internal and external cues can also determine which processes occur.

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Which particles in an atom are acted upon by the strong force?
A. Protons and electrons
B. Electrons and neutrons
C. Protons, neutrons, and electrons
D. Neutrons and protons

Answers

The answer correct is “D”

Neutrons and protons in an atom are acted upon by the strong force.

what is strong force?

Strong force or strong nuclear force, a fundamental interaction of nature that acts between subatomic particles of matter. The strong force binds quarks together in clusters to make more-familiar subatomic particles such as protons and electrons.

what are quarks?

Quarks are fundamental building blocks of matter. They are most commonly found inside protons and neutrons.

The strong interaction that keeps protons together is a different kind of force (the strong nuclear force) which does not affect electrons.

So being only option in which electrons are not present , option D is the correct answer.

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wha is the movement of the balloon when brought near to the can after removing your hand?​

Answers

Answer:

the answer is static electricity

Which variable can be measured with a weighing balance?

Answers

Answer:

ratio variables

Ratio scale of measurement

Weight, height and distance are all examples of ratio variables. Data in the ratio scale can be added, subtracted, divided and multiplied. Ratio scales also differ from interval scales in that the scale has a 'true zero'. The number zero means that the data has no value point

A 68.2 kg high jumper leaves the ground with a vertical velocity of 8 m/s. How high can he jump? The acceleration of gravity is 9.8 m/s². Answer in units of m.​

Answers

He can jump 14m/s here

P wave for 100km time= distance/speed , T=100km/6.1km/s

Answers

I dont know what you are asking sorry can u elaborate

A box is at rest on a table. What can you say about the forces acting on the box?
The upward
and the downward
are balanced.

Answers

Answer: The forces are balanced since the box is at rest

Answer:

normal force and gravitational force

Explanation:

I hope this helps :D

1. For a person who has a mass 60 kg, calculate their force due to gravity,
otherwise know as "weight," in newtons if the person is in space.

Answers

Answer:

Explanation:

Given that gravity on the Moon has approximately 1/6th of the strength of gravity on Earth, a man who weighs 60kg on Earth would weigh approximately 10kg on the Moon. His mass, however, remains constant.

Water enters a shower head
through a pipe of radius 0.00712 m
at 4.25 m/s. How much time does
it take for 1.00 m^3 of water to flow
through the pipe?

Answers

Answer: 1477.14 should be right

Explanation:

trust

The time needed for 1.00 [tex]m^{3}[/tex] of water to flow through the pipe is 1,478.16 sec  .

What is volume of cylinder?

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.

Formula of volume of a cylinder:

V = πr²h

Here,

'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

According to the question

Water enters a shower head through a pipe of radius 0.00712 m at 4.25 m/s.

As pipe is a cylinder  

Therefore

r = 0.00712 m

Speed = height filed by pipe in a second  =  4.25 m/s

Now,

Time it take for 1.00 m³ of water to flow through the pipe

Let time needed = t

By using volume of a cylinder

V = πr²h

1 m³  =   3.14 * (0.00712)² * 4.25 * t

1 m³  = 0.000676516768 *  t

t = 1,478.16 sec

Hence, The time needed for 1.00 [tex]m^{3}[/tex] of water to flow through the pipe is 1,478.16 sec  .

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The environment affects people, but people don't affect the environment.


TRUE OR FALSE

Answers

Answer: False

Explanation:

The statement that the environment affects people, but people don't affect the environment is incorrect. It should be noted that people also affect the environment.

Some of our impact on the environment include pollution, deforestation, overpopulation, burning of fossil fuels etc. Thus has resulted in changes such as erosion, climate change, etc.

Un tren de engranajes

Answers

Answer:Un tren de engranajes es un sistema mecánico formado por el montaje de engranajes en un marco para que los dientes de los engranajes se acoplen.

Explanation:

La relación de los círculos de paso de los engranajes acoplados define la relación de velocidad y la ventaja mecánica del conjunto de engranajes. Un tren de engranajes planetarios proporciona una alta reducción de engranajes en un paquete compacto.

The is the no way so it has to be 32

Place a few small weights on top of the cylinder to slightly compress the gas inside. Consider the air in the entire system. Assuming that the system remains perfectly sealed, describe how each of the following changes (if at all). Wherever possible, explain your answers in terms of changes to the individual molecules of air that produces the macroscopic changes.

a. Volume
b. Pressure
c. Temperature
d. Number of molecules

Answers

I think the correct answer is d number of melecules

Please help!
Two pieces of clay, one white and one gray, are thrown through the air. The white clay has a
momentum of 25 kg. M/s and the gray clay has momentum of -30 kg m/s immediately
before they collide.

What is the magnitude and direction of their final momentum immediately after the collision?


Answers

When two objects collide in two dimensions (for example, x and y), the momentum will be conserved separately in each direction (as long as there isn't an external impulse in that direction).

One white and one gray piece of clay are flung through the air. The 25-kilogram mass of the white clay?

The momentum before and after a direct impact between two pieces of clay is maintained. The amount of initial kinetic energy lost during the impact as a fraction is 0.961.

What is the difference between the total momentum of two objects before and after a collision?

The total momentum of the two objects prior to the collision equals the total momentum of the two following the collision when object 1 and object 2 collide in an isolated system. The momentum obtained by object 2 equals the momentum lost by object 1, and vice versa.

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How long would you have to film something in HD to collect 1 PB of data?


all day for 2 consecutive weeks


all day for 365 days (or 364 days in a leap year)


all day for about 3.5 years


all day for one light year

Answers

Time required to film something in HD to collect 1 PB of data is all day for about 3.5 years.

What is Petabyte?

A petabyte, or 2 to the 50th power of a byte, is a unit of measurement for memory or data storage. One exabyte is equal to about 1,024 petabytes (PB), or 1,024 terabytes (TB).

Although traditional network-attached storage (NAS) can handle petabytes of data and is expandable, it might be resource-intensive to traverse the system's ordered storage index.

A common laptop or desktop computer has 16 GB of random access memory for storage (RAM).

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if a copper coin with a volume of exactly 50 cubic cm is dropped into the volume of water ,how much water will be overflown(given that the container was completely filled with water)​

Answers

Answer:

50 cubic cm

Explanation:

As the water displaces 50 cubic centimeters the amount of water that must leave the container for it to be able to be dropped into it is also 50 cubic as the water which was in its place must have gone somewhere.

2. Which of the following is NOT a transverse wave?
a. sound.
b. radio wave.
c. light.
d. all of the above.
e. none of the above

Answers

Answer:

Sound waves are not transverse wave

Answer:

Sound waves are longitudinal

35 points! Will give brainliest!

What will happen to the force between the two magnets if they are pulled farther apart?

A) The force would be weaker.
B) The force would be stronger.
C) The force would stay unchanged.
D) The force would reverse the poles.

Answers

Answer:

B the force would be weaker

describe an experiment to show that air support burning​

Answers

Take a small burning candle. ... After few minutes the candle is extinguished. As the supply of air is stopped due to glass jar the burning of candle is also stopped. This experiment proves that air supports burning.

Teddy is playing with toy cars on his driveway. He rolls two cars directly at each other so that they will have a head-on collision. Their momentums before and after the collision are shown in the table below.
Momentum Before Momentum After
Car 1 9 g · m/s -2 g · m/s
Car 2 -6 g · m/s 4 g · m/s
Which of the following is true?
A.
This situation does not show a closed system.
B.
The situation shows a closed system.
C.
Car 2 has more mass than Car 1.
D.
Car 2 had a greater velocity before the collision than Car 1 had.

Answers

The true statement is " this situation does not show a closed system" because the linear momentum is not conserved.

option A is the correct answer.

What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states in a closed or isolated system, the total momentum of the system is always conserved.

Mathematically, the formula for the conservation of linear momentum is given as;

Pi = Pf

where;

Pi is the sum of the initial momentum of the systemPf is the sum of the final momentum of the system

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ is the mass of the first objectm₂ is the mass of the second objectu₁ is the initial velocity of the first objectu₂ is the initial velocity of the second objectv₁ is the final velocity of the first objectv₂ is the final velocity of the second object

The given momentum of the toy cars before and after collision;

                 Momentum Before                     Momentum After

Car 1                9 g m/s                                              -2 g m/s

Car 2              -6 gm/s                                               4 g m/s

Sum of the momentum before the collision = 9 gm/s - 6 g m/s = 3 g m/s

Sum of the momentum after the collision = -2 gm/s + 4 gm/s = 2 g m/s.

The above does not show conservation of linear momentum, hence the system is closed because of the momentum is lost.

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A box is pushed with a 245 N of force on a horizontal surface as it moves with a
constant velocity. The mass of the box is 104 kg. The box experiences a force of friction
of 45 N.
a. Draw a free body diagram with Fg, FN, F₂ and F₁.
b. Find the weight of the box.
c. Find the coefficient of friction as the box is moving.
d. Find the net force acting the box.

Answers

Answer:

Explanation:

b)  Fg = W = mg = (104 kg)(9.8 m/s²) = 1019.2 N  (weight of the box)

Ff = (coeff. friction)(N)

N = normal force = Fg = 1019.2 N

c)  coeff. friction = Ff/N = 45 N/1019.2 N = 0.044

d)  Fnet = 245 N - 45 N = 200 N

It's hard to draw a free body diagram with the available symbols, but here's a try at it.  Just add a box between the arrows!

                            W

                            ↓

     Ff  →                                 ←  Fapplied

 

                             ↑

                             N

When you perform the skill of _____________, you must track the object before receiving it.
kicking


striking


catching


throwing

Answers

Answer:

uhh that is a hard question

Explanation:

cathcing or throwing

When you perform the skill of catching, you must track the object before receiving it. Therefore, option (C) is correct.

What are manipulative skills?

Manipulative skills can be described as those skills which require the ability to handle an object or piece of equipment with control. They involve skills such as striking, kicking, dribbling, or catching a ball.

Manipulative skills involve moving an object with the hands or feet to get a goal or fulfill a task. The objects might be used as equipment or toys such as balls, bats, racquets, or jump ropes. Manipulative skills are also called object-control skills.

Types of Manipulative Skills are Bouncing, Catching, Dribbling (moving a ball with the feet), Kicking or rolling, Lifting, Pushing and pulling (the object might be a wheeled toy), Striking (such as swinging a baseball bat), Throwing, and Volleying.

Therefore, we track the object before receiving during catching,

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The Astronomical Unit (AU) as defined by astronomers is

Answers

Answer:

a unit of length effectively equal to the average, or mean, distance between Earth and the Sun

Explanation:

In the figure below, what is the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm?

Answers

In the figure below, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.

What is oscillation?

Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force or torque, an object in such motion oscillates around an equilibrium position.

Energy is conserved in oscillation.

So, the maximum loss in Potential Energy = Maximum gain in Kinetic energy

5 J - 1 J = Maximum gain in Kinetic energy

Maximum gain in Kinetic energy = 4 J

[tex]0.5 \times m \times vmax^2 = 4\\0.5 \times 2.0 \times 10^-3\; Kg \times vmax^2 = 4 J\\vmax^2 = 4 \times 10^3 m^2/s^2\\vmax = 63.2 m/s[/tex]

Therefore, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.

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Claudia carried a box that weighed 40 N up the stairs. She did 600 J of work in 10 seconds. How much power did she have? O A. 40 W B. 15 W C. 6,000 W D. 60 W ​

Answers

Answer:

[tex]\text{Remember: Power is given by:}\frac{Work}{Time}\\\therefore \frac{600J}{10sec}=60\text{ Watts of Power-D}[/tex]

Based on the image shown, write the number that corresponds to the term or phrase. Assume that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3.

Anode:
3
Cathode:
Electrolytes:
1
Salt bridge:
5
Electrode where oxidation occurs:
4
The reaction that takes place in this cell is

✔ spontaneous
.

Answers

Based on the image shown, the numbers that correspond to the term or phrase assuming that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3 are:

Anode: 3Cathode: 1Salt bridge: 4Electrolytes: 5Electrode where oxidation occurs: anodeThe reaction that takes place in this cell is spontaneous

What are electrochemical cells?

Electrochemical cells are cells that convert chemical energy to electrical energy.

The components of an electrochemical cell are:

anodecathodeelectrolytesalt bridge

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