a mass m starts at rest and then falls down distance l, where it contacts an unstressed spring of negligible mass. if the spring compresses for a maximum of l/2, find the force constant of the spring in terms of mg/l.

Answers

Answer 1

For a mass, the spring's force constant is 12 mg/L. M begins at rest and descends l distance before colliding with a negligible mass unstressed spring. if the spring is compressed for no longer than l/2.

The spring constant is significant because it demonstrates a fundamental material characteristic. The amount of force necessary to deform any spring made of any material is specified here. The material is more stiff when the spring constant is higher, and less stiff when the spring constant is lower. The force constant of an undamaged spring is k. It is stretched to an equilibrium length that is well inside the elastic limit by a weight that is suspended from it.

mg(L+L/2) = 0.5 kx^2

mg(3L)/2 = 1/2k(1/2)^2

3mgL/2 = kl^2/8

k = 12mg/L

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Related Questions

The half-life of Silver-105 is 3.57 x 106 seconds. A sample contains 5.78 x 1017 nuclei. What is the decay constant for this decay?

Answers

Answer:

The decay constant, or "lambda" (λ), is the rate at which a radioactive isotope decays. It is usually measured in units of inverse time, such as seconds. In this case, the decay constant can be calculated as follows:

16:42

λ = (ln(2)/3.57 x 106) x (5.78 x 1017) = 0.

Explanation:

using the human species as an example, explain what is meant by variation of traits

Answers

a variation of traits could be a variation of personality traits? everybody is different? what I do know Is that variation can be inherited or environmental which means that you get it from your ancestors through DNA or you get it from the environment around you

Which form of energy has the most potential globally

a) Solar energy

b) Bio energy

c) Wind energy

d) Geothermal energy

Answers

Answer:

i think the answer is solar,

Explanation:

because it is a natural resource im sorry if im wrong

During the 28-day lunar cycle, the positions of the Sun,
Earth, and the Moon change in relation to one another. The
diagram shows how their relative positions change.

Which statement describes the positions of the Moon, the Sun, and Earth
during a new moon?

A. Earth is closer to the Sun than to the Moon.

B. The Moon is between Earth and the Sun.

C. Earth is between the Moon and the Sun.

D. The Sun is between Earth and the Moon.

During the 28-day lunar cycle, the positions of the Sun,Earth, and the Moon change in relation to one

Answers

Answer: B

Explanation: B is the correct statement describing the positions of the Moon, the Sun, and the Earth during a new moon. The Moon is between Earth and the Sun.

During a new moon, the Moon is positioned between the Sun and the Earth, with the illuminated side of the Moon facing away from the Earth. This means that the side of the Moon that faces the Earth is not receiving any sunlight, making it invisible to us from Earth. The new moon is the first phase of the lunar cycle and occurs roughly every 29.5 days.

The next planet from the sun is …

Answers

As in, the order of the planets from the sun?

In this case it would be Mercury.
Mercury is the next to the sun

Magnitude WITH direction

Answers

Answer: MAGNITUDE AND DIRECTION OF A VECTOR

Explanation: Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application.

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3. A cat is moving at 18 m/s when it accelerates at 4 m/s? for 2 seconds. What is his new
velocity?

Answers

Answer:

26 m/s

Explanation:

v = u + at

Given that,

u(initial speed) = 18 m/sa (acceleration) = 4m/s^2t ( time) = 2s

and v ( final velocity) = ?

v = 18 + ( 4 × 2)

v = 18 + 8

v = 26 m/s

a 15.0 kg block is dragged over a rough, horizontal surface by a 70n force acting at 20degrees above the horizontal. the block is displaced 5.oo m, and the coefficient of kinetic friction is 0.300. find the work done on the block by The 70N force ,The normal force. The gravitational force.

Answers

Answer:

See below

Explanation:

See diagram below

  Horizontal force of the 70 N :      70 cos 20

  Vertical force of    the 70 N  :    

                                            70 sin20 <====this lessens the normal force, Fn

Gravitational force = mg = 15 (9.81) = 147.15 N

Work = force * distance =    (70 cos 20 N - Ff   )   * 5 M =  144.1  J

a 15.0 kg block is dragged over a rough, horizontal surface by a 70n force acting at 20degrees above

suppose two particles carry a positive charge of 2.80 c for every kilogram of their mass. part a determine the ratio of the gravitational force to the electric force they exert on each other at a given separation.

Answers

The ratio of the gravitational force to the electric force between two particles is determined by their respective charges and masses.

What is gravitational force?

Gravitational force is a universal force of attraction that acts between all objects that have mass. It is the weakest of the four fundamental forces of nature, however it has the most far-reaching effects, as it is responsible for keeping planets in orbit around stars and for holding galaxies together. Gravitational force arises from an interaction between two bodies due to their masses.

The gravitational force between two particles is proportional to their masses and inversely proportional to the square of the distance that separates them.

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You slide a hockey puck across the ice in a hockey rink

Answers

Answer-

mk thats kool.

Answer:

Force Friction

Explanation:

A machine has a velocity ratio of 5 and the efficiency is 80% what effort would be needed to lift a load of 200N​

Answers

Explanation:

To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:

Efficiency = (Output Work / Input Work) * 100

Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.

Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.

Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."

Using the velocity ratio, we have the following relationship:

dE / dL = 5

Now, we can calculate the input work (Wi) and the output work (Wo):

Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)

Output Work (Wo) = Load (L) * Distance moved by the load (dL)

Given that the efficiency is 80%, we can rewrite the formula for efficiency as:

0.80 = (Wo / Wi) * 100

Now, let's solve for the effort (E) using the given values:

Load (L) = 200N

Efficiency = 0.80

Velocity Ratio = 5

First, calculate the output work (Wo):

Wo = Load (L) * Distance moved by the load (dL)

Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):

dL = (1/5) * dE

Wo = L * (1/5) * dE

Wo = 200N * (1/5) * dE

Wo = 40N * dE

Next, calculate the input work (Wi):

Wi = Effort (E) * Distance moved by the effort (dE)

Wi = E * dE

Now, substitute the values into the efficiency formula:

0.80 = (Wo / Wi) * 100

0.80 = (40N * dE) / (E * dE) * 100

0.80 = 40 / E * 100

0.80 * E = 40

E = 40 / 0.80

E = 50N

Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.

most of the infrared radiation given off by earth's surface is absorbed in earth's atmosphere by greenhouse gases such as water vapor, carbon dioxide, and___

Answers

most of the infrared radiation given off by earth's surface is absorbed in earth's atmosphere by greenhouse gases such as water vapor, carbon dioxide, and trace gases

Are greenhouse gases capable of absorbing infrared radiation?

The majority of the infrared energy from the Sun is absorbed and re-emitted in all directions by greenhouse gas molecules and clouds, creating the greenhouse effect. This causes the lower atmosphere and the Earth's surface to warm.

Solar energy is absorbed by the surface and atmosphere of the Earth and then re-radiated as longwave radiation. We experience heat from this longwave radiation. Greenhouse gases absorb and reradiate infrared light from the Earth's surface as heat, which prevents heat from leaving our atmosphere and entering space.

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(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?

(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What

Answers

Answer:

Explanation:

according to the graph at B the potential energy of the particle is 2J

therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.

\(E_{k} =1/2mv^{2}\)

2J= 1/2*1/2kg*v^2

8=v^2

v= 2√2 ms-1

How long did it take me to make this?

How long did it take me to make this?

Answers

1hour because that takes a lot of time

Answer:

Its according from what it is made with if wax it takes longer but if with a craft paper it takes lesser time if paper approximately 20 to 25 minutes

In hiking, what fitness component is required of you

Answers

It’s strength, endurance and flexibility. Hope this helps

A book of 500 leaves has a mass of 1kg if its thickness is 5cm what are the mass and thickness of each leaf

Answers

Answer:

0.002kg and 0.01cm

Explanation:

500 leaves has a thickness is 5cm

Means I leaf has a thickness of 5/500= 0.01cm

Similarly the mass of one leaf would be 1/500 =0.002kg

10. If a weightlifter lifts 2000 newtons to a height of 2 meters in 4 seconds, how powerful is
he?
a. 100 watts
b. 500 watts
c.
1,000 watt
d. 16,000 watts

Answers

If a weightlifter lifts 2000 N to a height of 2 meters in 4 seconds. The power is 1000 watts.

What is Power?

The word "power" is one we hear a lot, just like "energy." It can mean a variety of things in daily life. But in physics, it has a very specific significance. It serves as a metric for how quickly something is finished (or similarly, at which energy is transferred).

The standard unit for measuring power is the watt, which is denoted by the symbol text, W, and end text. The name of the unit pays homage to Scottish industrialist and inventor James Watt. Undoubtedly, you come across the term "watt" regularly in daily life. The power output of electrical appliances like light bulbs and stereos is frequently advertised in watts.

According to the question,

Power = \(workdone/time\)

Power = (2000×2)/4

Power = 1000 watt.

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what is the normal force on a 2000N refrigerator resting on the ground

Answers

The perpendicular force that a surface applies to an item is known as the normal force. FN = m ⋅ g

What is Normal force?

The perpendicular force that a surface applies to an item is known as the normal force. For instance, if you place a book on a table, a gravitational force will cause it to fall. The table pulls on the book in order to counterbalance this force and keep it from dropping. The normal force, often known as the opposing force, is denoted by the symbols FN F N or  NN. "N" stands for the normal force unit (Newton).

A common illustration of Newton's third rule of motion is the normal force.

When one object applies force to another, the other applies a force in the opposite direction and of equal magnitude to the first object (action equals reaction).

Therefore, the force applied by the item to the surface is equal to the normal force. The calculations change according to the surface's slope.

The formula is as follows for an object laying on a flat surface:

FN = m ⋅ g

where

The mass of an object is m.

Gravitational acceleration is denoted by g.

The normal force (FN F N ) for an item on a flat surface is equal to its gravitational force, according to Newton's third law ( WW).

The formula is as follows for an object laying on a flat surface:

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How would be best to find a scientific law? A) Generalized rule to explain a body of observations.

Answers

Answer:

In general, a scientific law is the description of an observed phenomenon. It doesn't explain why the phenomenon exists or what causes it. The explanation of a phenomenon is called a scientific theory

in physical change does mass increase or decrease

Answers

Answer:

it is unexpected

Explanation:

Chemical Change · Temperature changes (either the temperature increases or decreases) · Light is given off · Unexpected ...

what is the difference between compulsory and voluntary deductions​

Answers

Answer: Mandatory payroll deductions are the wages that are withheld from your paycheck to meet income tax and other required obligations. Voluntary payroll deductions are the payments you make to retirement plan contributions, health and life insurance premiums, savings programs and before-tax health savings plans.

Hot water is added to three times its water at 10 degree Celsius and the resulting temperature at 20 degree Celsius. what is the initial temperature ​

Answers

50 degrees Celsius is the answer
50 dibdbsis ddjdjendd

a 40 g superball strikes a wall with a velocity of 10 m/s that is normal to the wall. it bounces away at a velocity of 7 m/s, still normal to the wall. what is the ball's change in momentum? if the bounce lasted 0.1 s, what is the force between the ball and the wall?

Answers

The momentum of the ball in motion is -0.68 kg m/s, and the force between the ball and the wall is -6.8 N.

What is momentum?

The state of motion of an object with a certain mass is termed as momentum. It is the product of the mass and velocity of the moving object and is a vector quantity.

It is expressed as: p = m × v

First, let's calculate the initial momentum of the ball before it strikes the wall:

p₁ = m₁× v₁ = 40 g × 10 m/s = 0.04 kg ×  10 m/s = 0.4 kg m/s

Where  m₁ is the mass of the ball and v₁ is its initial velocity.

Next, let's calculate the final momentum of the ball after it bounces off the wall:

p₂ = m₁× v₂= 40 g × (-7 m/s) = -0.04 kg × 7 m/s = -0.28 kg m/s

where v₂ is the velocity of the ball after it bounces off the wall.

The change in momentum of the ball is then:

Δp = p₂- p₁ = (-0.28 kg m/s) - (0.4 kg m/s) = -0.68 kg m/s

Note that the change in momentum is negative, indicating that the ball's momentum has decreased in magnitude and changed direction.

To calculate the force between the ball and the wall,

J = Δp

where J is the impulse and Δp is the change in momentum.

The impulse is also equal to the force multiplied by the time during which the force is applied:

J = F × Δt

where F is the force and Δt is the time during which the force is applied.

Setting these two equations equal to each other, we get:

F × Δt = Δp

Solving for the force, we get:

F = Δp / Δt = (-0.68 kg m/s) / (0.1 s) = -6.8 N

The negative sign indicates that the force exerted by the ball on the wall is directed opposite to the direction of the ball's motion, as expected.

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The change in the momentum of the ball will be 0.68kgm/sec. While the force that acts on the body will be 0.68 N.

What is momentum?

The measurement of mass in motion is called momentum. Momentum is equal to its mass multiplied by its velocity. Mathematically it is given as;

Momentum = Mass x Velocity

The given data in the problem is

ball mass ( m)= 40 g=0.040 kg

speed of the ball(v) = 10 m/s

rebound speed(V )= -7 m/s

The change in the momentum of the body is given by,

ΔP = mv - mv'

Δp= 0.040 x 10 - 0.057 x (-7)

ΔP = 0.68 kg.m/s

Hence the change in the momentum of the body will be 0.68 kg.m/s.

Impulse is defined as the product of force and time interval of contact.

ΔP = force *time

force = ΔP/time

force = 0.68/1

force = 0.68

Hence the force that acts on the body will be 0.68 N.

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A power plant burns coal at
830 K, and exhausts to air at
288 K. If it runs at the Carnot
efficiency, how much input heat
must be fed into the plant to
produce 230,000 J of work?
(Unit = J)

Answers

The amount of heat fed to the plant is 353846.15JEfficiency of engine:

The efficiency of an engine is defined as ratio of the useful work done to the heat provided or,

in terms of temperature of the source and the sink the efficiency of heat engine is given by \(1-\frac{T_{2} }{T_{1} }\)

Thus, we have two formulae to calculate the efficiency of a heat engine.

η= \(\frac{useful work done}{heat absorbed}\) ....1

η= \(1-\frac{T_2}{T_1}\)             ....2   (where \(T_{2}\) and \(T_{1}\) are temperatures of sink and source respectively)

Given quantities are,

\(T_{1}\) = 830K\(T_1\) =288KWork done = 230000J

Now, by equating (1) and (2) equation,

⇒ \(1-\frac{T_2}{T_1}\) = \(\frac{Useful work done}{Heat absorbed}\)

Substituting the given values;

⇒ \(1-\frac{288}{830}\) = \(\frac{230000}{heat absorbed}\)

⇒therefore, heat absorbed = 353846.15 J

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A researcher investigated whether job applicants with popular (i.e. common) names are viewed more favorably than equally qualified applicants with less popular (i.e. uncommon) names. Participants in one group read resumes of job applicants with popular (i.e. common) names, while participants in the other group read the same resumes of the same job applicants but with unpopular (i.e. uncommon) names. The results showed that the differences in the evaluations of the applicants by the two groups were not significant at the .001 level

Answers

The researcher did not find strong evidence to support the idea that job applicants with popular names are viewed more favorably than equally qualified applicants with less popular names.

What factors plan an important role in the hiring process for a job?

It sounds like the researcher conducted an experiment to investigate whether job applicants with popular names are viewed more favorably than equally qualified applicants with less popular names.

Based on the information provided, the researcher found that the differences in the evaluations of the applicants by the two groups were not significant at the .001 level.

The factors that play an important role in the hiring process for a job:

(1) Qualifications and experience: Employers typically look for candidates who possess the necessary qualifications and experience for the job. This includes education, training, certifications, and work experience.

(2) Skills and abilities: Employers also consider a candidate's skills and abilities related to the job. These may include technical, interpersonal, communication, and problem-solving skills.

(3) Personal characteristics: Personal characteristics, such as motivation, work ethic, and adaptability, can also play a role in the hiring process. Employers may look for candidates who demonstrate a positive attitude, a willingness to learn, and the ability to work well with others.

(4) Fit with company culture: Companies may also consider whether a candidate fits with their company culture, values, and mission. This can include factors such as teamwork, creativity, and innovation.

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How long( in hours, will it take for 500 000 C of charge to flow through a diode if it requires
0.05 Amp to operate it.

Answers

Answer:

277.78 hours

Explanation:

The formula for calculating the amount of charge is expressed as;

Q = It

I is the current

t is the time

Given

I =0.05A

Q = 50,000C

Required

Time t

Recall that: Q = It

t = Q/I

t = 50,000/0.05

t = 1,000,000secs

Convert to hours

1,000,000secs  = 1,000,000/3600

1,000,000secs = 277.78 hours

Hence it will take 277.78 hours for the charge to flow through the diode

500000000 in standard form

Answers

Answer:

5.0 x 10^8

Explanation:

because u moved it 8 times to it places

A baseball pitcher's average fastball pitch speed is 98.6 mph. What is that speed in
m/s?

Answers

Answer:

44.078 m/s

Explanation:

convert 98.6 miles to meters then convert the hour to minutes and minutes to seconds

imagine imagining an imagination.

Answers

i’m imagining imagining imagining an imagination...

Answer:

We’re imagining imagining imagining an imagination...

A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?

Answer in kg

Answers

The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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