A scale at a grocery store is made of a metal pan (of negligible mass) placed on an ideal spring. The spring has a force constant of 655 N/m. A customer gently rests 1.00 kgs of bananas and 2.00 kg of potatoes on the scale. When the 2.00 kg potatoes is suddenly removed, how high above the starting position do the bananas reach?

Answers

Answer 1

Answer:

The ideal spring is 0.030 meters above the starting position.

Explanation:

Let consider that spring is modelled by the Hooke's Law, which is represented by the following expression:

[tex]F = k\cdot \Delta x[/tex]

Where:

[tex]F[/tex] - Force exerted on the ideal spring, measured in newtons.

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

[tex]\Delta x[/tex] - Spring elongation, measured in meters.

The elongation is now cleared:

[tex]\Delta x = \frac{F}{k}[/tex]

The initial force experimented by the spring is due to the weight of bananas and potatoes.

[tex]F = (m_{b} + m_{p})\cdot g[/tex]

Where:

[tex]m_{b}[/tex], [tex]m_{p}[/tex] - Masses of bananas and potatoes, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If [tex]m_{b} = 1\,kg[/tex], [tex]m_{p} = 2\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]k = 655\,\frac{N}{m}[/tex], the initial elongation of the ideal spring is:

[tex]F = (1\,kg + 2\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 29.421\,N[/tex]

[tex]\Delta x_{o} = \frac{29.421\,N}{655\,\frac{N}{m} }[/tex]

[tex]\Delta x_{o} = 0.045\,m[/tex]

The final elongation is obtained after eliminating the influence of potatoes due to gravity. That is to say:

[tex]F = m_{b}\cdot g[/tex]

[tex]F = (1\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 9.807\,N[/tex]

The final elongation of the ideal spring is:

[tex]\Delta x_{f} = \frac{9.807\,N}{655\,\frac{N}{m} }[/tex]

[tex]\Delta x_{f} = 0.015\,m[/tex]

The displacement of the spring due to the removal of potatoes is:

[tex]d = \Delta x_{o} - \Delta x_{f}[/tex]

[tex]d = 0.045\,m-0.015\,m[/tex]

[tex]d = 0.030\,m[/tex]

The ideal spring is 0.030 meters above the starting position.


Related Questions

FOR 30 points

Part 3
What single property was the most important in Jesseca's material?

Answers

Answer:

Jesseca wanted to create a material that reflected most of the light that fell on it.

Explanation:

Plato Answer

Answer:

this is the exact answer on Edmentum...

Explanation:

Jesseca wanted to create a material that reflected most of the light that fell on it.

Joey drives along the 110 South freeway and notices a mile marker that reads 260 miles. He drives until he reaches the 150 mile marker. He realizes that he went too far, so gets on the 110 North to the 175 mile marker. What is Joey’s displacement from the 260 mile marker?

Answers

Answer:

85 miles .

Explanation:

Displacement along the 110 South freeway = 260 - 150  =  110 miles

Displacement along the 110 North freeway = 150 - 175   = - 25 miles

Net displacement = 110 - 25 = 85 miles

So Joey's displacement from the 260 mile marker is 85 miles .

a. In what frame of reference does special relativity apply?
b. In what frames must general relativity be used?
c. Describe what happens to time and length at speeds close to the speed of light.

Answers

Answer:

a. The Special relativity postulate states that the laws of physics apply  in all inertia frames of reference

b. General relativity must be uses a curved space-time

c. Time is dilated for a stationary observer relative to one in motion

Time interval observed on an object in a moving frame of reference is less than the same interval observed on a stationary reference frame

[tex]\Delta t' = \dfrac{\Delta t}{\sqrt{1 - \dfrac{v^2}{c^2}}}[/tex]

Length is contracted

The length of a rod moving with a velocity relative to an observer will appear contracted by a factor [tex]\sqrt{1 - \dfrac{v^2}{c^2}}[/tex], in the direction of the motion.

Explanation:

a body of mass 0.5kg is shot vertically into the air with an initial speed of 45m/s
, calculate the time taken to reach the maximum height

Answers

Answer:

The time to reach the maximum height is approximately 4.59 seconds

Explanation:

The maximum height in a problem where friction with the air is neglected, only needs the kinematic information of the initial velocity at which the object was launched vertically.

Recall that the formula for the velocity of an object under constant acceleration ([tex]a[/tex]) in terms of time (t) is given by:

[tex]v(t)=v_0+a\,\,t[/tex]

where [tex]v_0[/tex] is the initial velocity of the object (in our case the speed at which it was launched up in the air = 45 m/s)

Considering that the acceleration the object is subjected (which is the acceleration of gravity g = 9.8 m/s^2) is acting in opposite direction to the initial velocity of the object, we make sure to include a negative sign in the formula:

[tex]v(t)=v_0+a\,\,t=v_0-g\,\,t[/tex]

then, considering that at the time the object reaches its maximum height, is when it stops and starts it motion back towards earth, that is the point at which the object's velocity is zero. Then we can solve for the time as follos:

[tex]0=v_0-g\,\,t\\g\,\,t=v_0\\t=\frac{v_0}{g} \\t=\frac{45}{9.8} \\t\approx 4.59\,\,sec[/tex]

When do we represent objects like a point like object?

Answers

It is represented when it’s a tiny object that can be calculated or counted as dot object to simplify the calculations

During which step of the scientific method does a scientist make an educated
guess about the outcome of an experiment?
A. Collect data
B. Form a hypothesis
C. Analyze the results
D. Design an experiment

Answers

Answer:

form a hypothesis

Explanation:

Since all stars begin their lives with the same basic composition what characteristics most determines how they will differ

Answers

Answer:

Mass they are formed with

Explanation:

All stars are born with the same composition such as one quarter of helium, three quarter of hydrogen, and heavier element does not found more than two except their mass. Mass that differ all stars from other stars they born with. How much the mass of a star is large , the star would be as messy.

For example our sun is a star and have large mass four times greater than other living stars. It is found that smallest mass is around 1/12th of sun mass. The masses of a star is determined by its orbit binary. Sun is called a brown dwarf.

determine the density in si unit of a solid of mass 40g with dimension 30cm by 4cm by 3cm​

Answers

Answer:

Density = 0.111 g/cm^3

Explanation:

Given that

Make m = 40g

The given dimension are 30cm by 4cm by 3cm

Volume V = 30 × 4 × 3 = 360 cm^3

Density is the ratio of mass to volume.

That is,

Density = mass/volume

Substitute mass and volume into the formula

Density = 40/360

Density = 0.1111 g/cm^3

Attempt 3 of 2
SECTION 10F1
QUE
1 2 3 4 5 6 7
>
Which of the following will stay constant, no matter if the substance is in the solid, liquid, or gas state?
volume
shape
temperature
mass



Answers

Answer:

mass.

Explanation:

other physical factors are changeable but the mass of a particular substance is always constant.

If a tennis ball has a velocity of 18 m/s and a momentum of 1.06 kg. m/s, what is the mass of the tennis ball in grams?
Round the answer to two significant figures.
Blank grams

Answers

Answer:

59g

Explanation:

The tennis ball with a velocity of 18 m/s and momentum of 1.06 kg m/s then the mass of the tennis ball in grams will be 59 grams (approx) two significant figures.

What is Momentum?

Regardless of the frame of reference, momentum is a conserved quantity in any inertial frame, which means that if an enclosed system is not subject to outside influences, its total linear momentum remains constant.

Additionally, momentum is preserved in general relativity, electrodynamics, quantum mechanics, quantum field theory, and special relativity (using a modified formula). It is a manifestation of translational symmetry, one of the basic symmetries of space and time.

According to the question, the given values are :

Velocity, v = 18 m/s

Momentum, p = 1.06 kg m/s

p = m × v

1.06 kg m/s = m × 18 m/s

m = 1.06 / 18

m = 0.0589 kg or

m = 58.9 grams or 59 grams approx in two significant figures.

So, the mass will be 59 grams.

To get more information about Momentum :

https://brainly.com/question/4956182

#SPJ5

based on what you have just read,why is studying atoms and their parts and particles helpful to people

Answers

The study of atomic structure helps us understand more about the way the universe is constructed, how our bodies are made, and the components of life, which we can apply to other sciences in the fields of health and disease prevention, fuels, product industry etc... It basically helps us to understand how we can make new things and how to utilize the power of the universe.

Answer: Studying atoms is important because knowledge about atoms helps people to understand the world around them and produce materials used in daily life. Also, research done on atoms has contributed to the improvement of people's lives through medicine, to the protection of the environment, and to the discovery of new things about the world and the universe.

Explanation:

I did the test

What role do decisions play in wellness?

Answers

Answer: If you make certain decisions like changing your diet (for good or worse) increasing physical activity, or playing more video games, things like these can affect your wellness and health for the worse or better.

Answer:

health is the answer to what the role is play in wellness

Give reasons:
1. The unit of pressure is a derived unit.​

Answers

Explanation:

The units of pressure is called derived units because it is simply derived from base unit which is distance and a derived unit which is force, which is derived from acceleration, a derived unit as well, and mass, a base unit. As we all know, work is defined as the force x distance. Thus making work a derived unit.

What does perseverance mean to you?

Answers

perseverance to me is being persistent in doing something despite it being difficult and achieving it in success
It means persistence in doing something despite difficulty or delay in success

What is the more common term for a quantitative
observation?

Answers

Answer:

Measurement

Explanation:

Scientific research require observation and there are two types of observations, quantitative and qualitative observation

Collecting quantifiable data that is possible to be expressed in a number format is said to be a quantitative observation

Quantitative observation can also be described as observations that are defined by both words and numbers and they are therefore more useful than qualitative observations that involve only words

Quantitative observations involve expressions of variables that are quantifiable, that is material hat can be expressed in numbers.

Answer:

Measurement

Explanation:

if you’re doing ck12 it’s the right answer

By definition, a molecule carries a net charge of _____.

Answers

A molecule Carries a net charge of protein

A net force of 10 N accelerates an object at 5.0 m/s^2. What is the mass of the object? A. 2 kg B. 10 kg C. 5 kg D. 20 kg

Answers

Answer:

A. 2 kg

Explanation:

[tex]Force = 10N\\Acceleration = 5.0m/s^2\\Mass = ? = x\\Force = mass\times acceleration \\10 = x \times 5\\10 = 5x \\\frac{10}{5} =\frac{5x}{5} \\2=x\\\\Mass= 2kg[/tex]

Which of the following is a limit of science? (2 points) a The technology or tools available to test scientific claims b The number of times an experiment can be repeated c The total number of scientists in a field, like physics or chemistry d The use of critical thinking and evidence to study phenomena

Answers

Answer: A- The technology or tools available to test scientific claims. I just took this test and passed.

What is the force per meter of length on a straight wire carrying a 6.40 A current when perpendicular to a 0.9 T uniform magnetic field

Answers

Answer:

5.76 N/m

Explanation:

From the question,

F = BILsinФ...................... Equation 1

and then,

F/L = BIsinФ.................. Equation 2

Where F/L = force per meter, I = current, B = magnetic field, Ф = angle.

Given: B = 0.9 T, I = 6.4 A, and Ф = 90° (Perpendicular)

Subtitute these values into equation 2

F/L = 0.9(6.4)(sin90°)

F/L = 5.76 N/m

The force per meter of length on a straight wire will be 5.76 N/m.

What is a magnetic field?

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. the magnetic force is obtained it is the field felt around a moving electric charge.

The given data in the problem si;

B is the megnetic field=0.9 T

I is the current = 6.4 A,

Ф is the angle = 90° (Perpendicular)

The megnetic field is found as;

[tex]\rm F= BILsin \phi \\\\ \frac{F}{L} =BIsin\phi \\\\ \frac{F}{L} =0.9 \times 6.4 \times sin 90^0\\\\ \frac{F}{L} =5.76 / N/m[/tex]

Hence the force per meter of length on a straight wire will be  5.76 N/m.

To learn more about the magnetic field refer to the link;

https://brainly.com/question/19542022

who was albert einstien describe his contributions???

Answers

Answer:

Albert Einstein was from Germany he was born theoritical physicist, from childhood only he loved mechanical toys, he was highly gifted in Mathematics, He was a world citizen and a scientific genius too. His contribution were:

1) he developed the theory of relativity

2) he also discovered the process of nuclear fission

3)he developed the quantum theory of specific heat

4)theory of stimulated emission, on which laser device technology is based

5) law of photoelectric effect

hope it helped you :)

A waiter is carrying a tray above his head and walking at a constant velocity. If he applies a force of 5.0 newtons on the tray and covers a distance of 10.0 meters, how much work is being done?

Answers

Answer:

0 J

Explanation:

Work is the dot product of force and displacement.  In other words, it is the force times the distance traveled in the direction of the force.

W = Fd cos θ

In this case, the force is vertical and the displacement is horizontal.  So the angle between them is θ = 90°.  The work done is:

W = (5.0 N) (10.0 m) cos(90°)

W = 0 J

How many atoms of hydrogen are there in one molecule of water, if the chemical formula is H2O? 0 1 2 3

Answers

Answer:

2

Explanation:

H2O has -

2 hydrogen atoms

1 oxygen

Answer: 2

Explanation:

How long is the racetrack if it takes a racecar 3.4 s travelling at 75 m/s to finish?​

Answers

Answer:

255 metres

Explanation:

The answer to thi question is actually quite simple. Since the car goes for 3.4 seconds, and it goes 75 metres every second, the answer is just 3.4 multiplied by 75 Metres.

a homer in in a baseball game was measured at 450 feet. how many meters is this equal to?

Answers

137.16



hopes it helps







Pelo nossa observaçao do cotidiano,podmos perceber facilmente que se uma pedra for largada do alto de um predio , ele ira se deslocar em direçao ao solo ,enquanto que a fumaça produzida pela queima da madeira sobe para os ceus. Como aristosteles explicava estes movimentos?

Answers

Answer:

Esses movimentos são movimentos naturais.

Explicação:

Se uma pedra cair do topo de um telhado ou edifício, a pedra se moverá em direção à terra, enquanto a fumaça produzida devido à queima da madeira vai para cima, então de acordo com Aristosteles esses tipos de movimento são chamados de movimento natural porque de acordo à definição de movimento natural que não requer nenhuma força, então esses dois movimentos também se movem na direção para baixo e para cima sem usar qualquer força, então podemos dizer que esses movimentos são naturais.

Which force affect the movement of aeroplane and ship?​

Answers

For aeroplane are lift,weight,thrust and drag
For ships are inertia,drag,buoyancy and gravity

What steps should be taken when using a fire extinguisher? pull, aim, squeeze, spread pull, arm, search, spread push, aim, spread, squeeze push, arm, spread, search

Answers

Answer: pull,aim,squeeze,spread

Explanation:

Consider the pendulum. At what point is the kinetic energy the greatest?

Answers

Answer:

B

Explanation:

B is the mean position.At the mean position, the velocity of the particle in S.H.M. is maximum and displacement is minimum, that is, x=0. Therefore, K.E. = 1/2 k ( a² – x²) = 1/2 k ( a² – o²) = 1/2 ka². Thus, the maximum kinetic energy is expressed by K.E = ½ ka²

Answer:

Point B is the location of the greatest kinetic energy. This is the point where the pendulum is moving with the greatest velocity.

Explanation:

In which place moutain or terai,the value of g is more and why?​

Answers

Answer:

the radius of the earth in himalayan region is greater than terai reagion. therefore, the value of 'g' at the poles is greater than the value of g at the equator. 12

Explanation:

plz mark as brainlist thx :)

Identify two properties of a star that can be determined from its spectral class

Answers

Answer:

temperature and relative motion

Explanation:

Other Questions
by sensing and responding to change organisms keep conditions in the internal enviornment within ranges that cells can tolerate this process is called: in history why were the first governments most likely formed?select all that apply Solve the equation using the Properties of Equality: 15 = 2 (14-2^3) do you have to solve it first before you do the exponent or can you just do the exponent first then solve what's in the parenthesis? Is it all going to be the same? 11.Avery and Bradly work at a large electronic manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and the manager wants to know the probability that a skid of 50 DVD players will contain at least 3 defective units. Help Avery use the binomial distribution P(x)=n Cx p^x q^n-x to answer this question I'm having a hard time figuring this out I've tries multiple ways but can not get it please help A store sells paint sets. Each paint set cost the same amount. During a sale, the store reduces the price of each paint set by $1.35. Yuri spends $6.88 on 2 paints sets at the same price. Solve the problems: a. 8 + 0 = b. 1 (14) = c. 19 1 = d. 0 104 = e. 21 0 = At 5 p.m., Henry and Gordon have made 60 and 20 cranes respectively. Henry can make 30 cranes perhour while Gordon can make 40 cranes per hour. When will they get the same number of cranes? How did socialists suggest solving the inequities caused by the IndustrialRevolution?A. Limiting the power of labor unionsB. Publishing novels that included social criticism0C. Encouraging people to earn as much money as possibleD. Ending private ownership of factories, mines, and mills What primary tone is established by thewords Dr. Frankenstein's creature uses? Which statement is NOT true regarding natural vs. synthetic materials? A) An example of a natural material is sand. B) An example of a synthetic material is nylon. C) Synthetic materials are made from natural resources. D) Synthetic materials only have a negative impact on society. What is the slope of the line with points (3, 5) and (8, 2)? A diver is 15m below the surface of a liquid density 1050kg/m3.Calculate the total pressure on the diver given that atmospheric pressure in the region is 70cmHg.(take density of mercury to be 13600kg/m3 and g=10N/kg) Question 8 (5 points)For what values of x is the inequality 6x < 12 true?Ox6x pls send answer ppl The Mayflower Compact and the Virginia House of Burgesses are most closely associated with- At Hoffman's Bike Rentals, it costs $ 21 to rent a bike for 5 hours. How many hours of bike use does a customer get per dollar? orgin lies on which axis A middle-aged female presents complaining of recent weight loss. The physical exam reveals an enlargedpainless cervical lymph node. The differential diagnosis for this patient's problem includes: