A student uses a motion detector to study the kinematics of a block suspended on a vertical spring that obeys Hooke’s law. The student pulls the block a distance y from equilibrium, releases it from rest, and records the speed v of the block as it passes the equilibrium position. The student repeats this process several times for different values of y. Which variables should be plotted on the horizontal and vertical axes to yield a linear graph?

Answers

Answer 1

When the speed of the block is plotted on the vertical axis and displacement of the block plotted on the horizontal axis, a linear graph will be obtained showing the inverse relationship between the speed of the block and the displacement of the block.

Hooke's law

Hooke's law states that force or load applied to elastic material is directly proportional to the extension produced in the material. This law can be written as;

F = kx

where;

F is the applied forcek is spring constantx is extension of the materialVelocity of the block

The speed of the block increases with decreasing displacement of the bock. This is because the kinetic energy of the block is maximum at zero displacement and minimum at maximum displacement of the block.

Thus, when the speed of the block is plotted on the vertical axis and displacement of the block plotted on the horizontal axis, a linear graph will be obtained showing the inverse relationship between the speed of the block and the displacement of the block.

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Related Questions


When a force is applied to a wheel, its axle exerts a greater force?

Answers

Answer:

That is true.

Explanation:

When the input force is applied to the wheel, as it is with a doorknob, the axle turns over a shorter distance but with greater force, so the mechanical advantage is greater than 1.

the radius of a ball is increasing at a rate of 2 mm per second. how fast is the volume of the ball increasing when the diameter is 40 mm

Answers

Step 1: Define an equation that relates the volume of a sphere to its radius.

V = 4/3*π*r3

Step 2: Take the derivative of each side with respect to time (we will define time as "t").

(d/dt)V = (d/dt)(4/3*π*r3)

dV/dt = 4πr2*dr/dt

Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.

dV/dt = 4π(50mm)2*(2mm/s)

dV/dt = 62,832 mm3/s

Three different scientific institutions provide data about how much the annual global temperature has deviated from the norm in the years 1880 to 2014. The nort is
based on the temperatures of a base period, from 1951 to 1980
Institution A's data show that the annual global temperature deviated from the norm by 0.75°C in 2010
Institution B's data show that the annual global temperature deviated from the norm by 0.72°C in 2010
Institution C's data show that the annual global temperature deviated from the norm by 0.77°C in 2010.
Which are accurate statements about this data? Select the two correct answers
(1 point)

Answers

Based on the findings above, the accurate statements are:

B. The institutions have not yet gathered enough data for scientists to draw a conclusion about whether the annual global temperature is gradually increasing.C. The data gathered by each institution is very similar to the data gathered by the other institutions.

What are the accurate statements?

The information that all three institutions gathered is quite similar with their results showing a range of annual temperature deviation of 0.05°C in 2010.

However, this data is not enough to say that temperatures are rising gradually because there is no information on temperatures from the previous years.

Find out more on annual temperatures at https://brainly.com/question/27043563.

Predict the magnitude of the gravitational force....

Answers

Answer:

a=650.549

b=246.4819

c=38.5261

Explanation:

Write any two differences between series combination and parallel combination of cells.

Answers

Answer:

Your answer is attached above

Hope it helps

TC

have a great time

A school bus and a small Toyota Prius collide in a head-on collision
Which vehicle pushed with a greater force? Explain
Which vehicle has a greater mass?
Which vehicle has a greater acceleration after the moment of impact? Explain why

Answers

Hi there!

Part 1:

According to Newton's Third Law, every action has an EQUAL and OPPOSITE reaction.

For a collision, the objects involved exert an EQUAL and OPPOSITE impulse on each other, which means the forces exerted are equal as well.

Therefore, the school bus and Toyota Prius exert an EQUAL FORCE on each other.

Part 2:
The school bus has a greater mass.

Part 3:

Using Newton's Second Law:
[tex]\Sigma F = ma[/tex]

Using this relationship, the smaller the mass, the larger the acceleration. Since the forces are EQUAL, the Toyota Prius will experience a larger acceleration because it has a smaller mass.


Two people of equal mass attempt a tug-of-war with a 10 m long rope
while standing on ice. On pulling the rope, they both slide towards
each other. What will be the acceleration for each person?

Answers

Answer:

Explanation:

As the poster has noted above in comment, the acceleration for each person will be the same. This is because when they tugon the rope, there will be tension force on the rope pulling the two persons towards each other. The tension force will be the same for them. As they also have equal mass, by Newton's Second Law of Motion, Force = mass * acceleration, their acceleration will be the same.

PLEASE SAVE ME FROM THIS PHYSICS QUESTION (WILL MARK BRAINLIEST)
A 21 kg child is riding a 5.9 kg bike with a velocity of 4.5 m/s to the northwest.
- What is the total momentum of the child and the bike together?
- What is the momentum of the child?
- What is the momentum of the bike?

Answers

Answer:

See Below

Explanation:

Mass of child = 21 kg

Mass of bicycle = 5.9 kg

Total mass = 22 + 5.9 = 27.9 kg

Velocity = 4.5 m/s

1) Total momentum of the child and the bike together

= Total mass * Velocity

= 27.9*4.5

= 125.55 kg m per second

2) Momentum of the child

= Mass of child*Velocity

= 21*5.9

= 123.9 kg m per second

3) Momentum of the bike

= Mass of bike*Velocity

= 5.9*4.5

= 26.55 kg m per second

Read the materials on Biomolecules. Summarize and creatively translate them into a poem describing
what you have learned about biomolecules write your answer

Answers

Biomolecules are fundamental for life. They required both energy supply and building structures.

What are biomolecules?

Biomolecules are organic molecules that fundamental for life and must be ingested from the regular diet.

Biomolecules include proteins (e.g., meal proteins), lipids (fats) and also carbohydrates (e.g., glucose).

Biomolecules required both energy supply (e.g., glucose) and building structures (e.g., amino acids in proteins).

Learn more about biomolecules here:

https://brainly.com/question/10904629

Hold a spoon such that the water will hit the back of the spoon. The handle of the spoon will be horizontal. Turn on the water, but not full strength though.

Answers

This is an experiment that explains the Bernoulli principle. According to this principle, at the bottom of the spoon, there will be a reduction in pressure.

Explanation of the Bernoulli principle

So the pressure at the bottom of the spoon reduces because the velocity of the water is larger and the height of the column of water is smaller at this part.

So the spoon is attracted to the water at the point of lowest pressure because objects gravitate to low-pressure points.

Learn more about the Bernoulli Principle at:

https://brainly.com/question/24623919

Twelve identical point charges q are equally spaced around the circumference of a circle of radius R. The circle is centered at the origin. One of the twelve charges, which happens to be on the positive x axis, is now moved to the center of the circle.

A) Determine the magnitude of the total electric force exerted on this charge.
Express your answer in terms of Coulomb's constant k and the variables q and R .
F total = ?

B)Determine the direction of the total electric force exerted on this charge.
Express your answer as an integer.
θ = ? degrees

Answers

Answer:

For B it is 0

Explanation:

I think

A small block, with a mass of 250 g, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop, and then onto the final level section on the right. The maximum height of the incline is 80 cm, and the radius of the loop is 15 cm.

a.) Find the initial energy of the block.

b.) Find the velocity of the block at the bottom of the loop.

c.) Find the velocity of the block at the top of the loop.

Answers

(a) The initial energy of the block due to its position is 1.96 J.

(b) The velocity of the block at the bottom of the loop is 3.96 m/s.

(c)  the velocity of the block at the top of the loop is 3.13 m/s.

Initial energy of the block

The initial energy of the block due to its position is calculated as follows;

P.E = mgh

P.E = 0.25 X 9.8 X 0.8

P.E = 1.96 J

Conversation of the energy

The velocity of the block at the bottom of the loop is determined by applying the principle of conservation of energy as shown below;

P.Ei + P.Ef = K.Ei + K.Ef

1.96 + 0 = 0 + ¹/₂mvf²

vf² = 2(1.96)/m

vf² = (2 x 1.96) / (0.25)

vf² = 15.68

vf = √15.68

vf = 3.96 m/s

Velocity of the block at top of the loop

The velocity of the block at the top is calculated by applying principle of conservation of energy,

P.Ei + P.Ef = K.Ei + K.Ef

1.96 = mghf + ¹/₂mvf²

where;

hf is the position of the ball at the top of the loop = 2r = 2 x 15 cm = 30 cm = 0.3

1.96 = 0.25 x 9.8 x 0.3   +   0.5 x 0.25vf²

1.225 = 0.125vf²

vf² = 1.225/0.125

vf² = 9.8

vf = 3.13 m/s

Learn more about conservation of energy here: https://brainly.com/question/166559

Why was the government in giving support to addressing and researching the HIV epidemic ?

Answers

Do you mind adding the picture?? It’ helps me answer the question better :)

Ways in which a teacher plays a role in the literacy development of the learners​

Answers

Answer:

encourage all attempts at reading, writing, and speaking

Explanation:


Examine the image below:
Which term describes the wave phenomenon in the image?

Answers

Answer:

C

Explanation:

Reflection.

A race car goes forward from 0 to a velocity of 80 m/s in 9.4 s. What is its acceleration?

Answers

Answer:

The average acceleration is about 8.51 m/s

Explanation:

     We can use the formula for acceleration to solve.

a = [tex]\frac{velocity_{final} -velocity_{start} }{time}[/tex]

a =  [tex]\frac{80-0}{9.4}[/tex]

a =  [tex]\frac{80}{9.4}[/tex]

a ≈ 8.51

Explain newtons's law of gravitation​

Answers

Newton's law of universal gravitation is typically stated that every particle attracts every particle in the universe with force that is directly proportional to the result of their masses and inversely proportional to the square of distance between their centers.

A car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration
was 4 m/s2, what was its initial velocity? Show all work and units for full credit.

Answers

The initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.

How to calculate initial velocity?

The initial velocity of a moving body can be calculated using the following formula:

a = v - u/t

Where;

a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s?t = time (seconds)

According to this question, a car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration was 4 m/s², the initial velocity is calculated as follows:

4 = 55 - u/8

32 = 55 - u

u = 55 - 32

u = 23m/s

Therefore, the initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.

Learn more about initial velocity at: https://brainly.com/question/18084516


A rectangular gymnasium is 50 m long, 25 m wide and 8.0 m high.
The density of air is 1.2 kg/mº.
What is the best estimate of the mass of air in the gymnasium?

Answers

[tex]\text{Volume,}~V = 50 \times 25 \times 8 = 10000~ m^3\\\\\text{Density,}~\rho = 1.2 ~ kg ~m^{-3}\\ \\\\\text{We know that,}\\\\`~~~~~~~\rho = \dfrac{m}{V}\\\\\implies m = \rho V \\\\\implies m = 1.2 \times 10000 = 12000~kg}\\\\\text{Hence the mass of air is 12000 kg.}[/tex]

how many electrons flow through a 3 A current in 3 seconds

Answers

As Q=ne
and Q=It
so ne=It
n× [1.6×10 (power -19)]=3×3
n=9/1.6×10(power-19)
n=5.625×10(power +19)

The higher the wattage of a light bulb, the more work the light bulb does. Group of answer choices
True
False​

Answers

Answer:

True.

Explanation:

The higher the wattage the brighter the light. The efficiency of the system was introduced using and coletician lamps

how many types air
I need a formula of calculating the s i unti of force​

Answers

The si unit of force is newton.

so, F is eqal to m*g

Answer:

F=ma

Explanation:

force is actually a derived quantity

newton is a unit derived from kg.m/s^2

This is from Newton's second law of motion

F=ma

Two people work together to move a heavy box. One person pulls the box with a force of 200 Newtons. The other person pushes the box with a force of 150 newtons. The force of friction on the box is 400 newtons. Which of the following BEST describes what will happen to the box and people?
A. The person pushing the box will move the box towards the person pulling it.
B. The box will accelerate in the direction of the frictional force.
C. Both people will accelerate in the direction of friction, but the box will remain stationary.
D. Neither the box nor people will move.

Answers

Answer:

D. Neither the box nor people will move.

Explanation:

We are given three forces that are present on the box and friction is the result of someone trying to move the box. The net force of the people pulling/pushing is barely 50 Newtons which doesn't compare with the frictional force of 400 Newtons, you will need to surpass a net force of 400 Newtons in order for the box to START moving.

478 J of work must be done to compress a gas to half its initial volume at constant temperature. How much work must be done to compress the gas by a factor of 12.0, starting from its initial volume?

I was thinking of using PV = W formula. Like

478 = P(V/2)
956 = PV

W = P(V/12)
12W/V = P
956 = (12W/V)(V)
956 = 12W
W = 79.66667 J

is this correct? could someone please help?

Answers

Answer:

Explanation:

I don't think so. Think about it. To compress the volume by a factor of 2 it takes 956 Joules.

Now you come along and you want to get the pressure for 1/12 of the volume. It's going to take a huge pressure to do that.

I would suggest that you have to use a modified form of the formula.

PV = 956

You need to compress the volume by 1/6

P(V/6) = 956

6 * PV/6 = 6 * 956

PV = 5736 J

Why did I only take 1/6? Because. 956 represents the pressure needed for 1/2 the volume. You need to multiply 1/2 * 1/6 to get 1/12

how can you find the reading of main scale and vernier scale​

Answers

Answer:

this pdf should help you out

Explanation:

Aresultant vector is the *blank* of two or more vectors.​

Answers

Answer:

Vector sum.

Adding two things together to make one is usually referred to as a sum, therefore, we can identify this as that.

Read the text below. Each sentence is about one, two or no energy at all. (5 points) Name the type (s) of energy for each sentence, or leave the space blank (if in the sentence no energy is mentioned). Artan decided to paint the house. He moved the furniture, climbed the stairs, and began work. After two hours he took a break, ate lunch and turned on the radio to listen to some music. When done, turn on a heater to allow the paint to dry as quickly as possible. At dinner everything had ended. a) ............................................................................................................................................ b) ............................................................................................................................................ c) ............................................................................................................................................ d) ............................................................................................................................................     e) ............................................................................................................................................​

Answers

Yellow orange green green bowls green orange green bowls orange orange juice

Topic : Collisions and Conservation of Momentum

1. A 0.2 kg ball moves to the right with a speed of 3 m/s. It hits a 0.5 kg ball, which is at rest? After the collision, the second ball moves to the right with a speed of 1 m/s. What is the speed of the first ball after the collision?

2. A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?

Answers

A 0.2 kg ball moves to the right with a speed of 3 m/s. It hits a 0.5 kg ball that at rest. After the collision, the second ball moves to the right with ...

what are the three gases our atmosphere is mainly composed of

Answers

Answer:

the three gases our atmosphere is mainly composed of are nitrogen oxygen and carbon

An object can not have a charge of?

Answers

Answer:

If an object is electrically neutral it has no net charge becuase it has the same number of protons as it does electrons, which are opposite charges that offset each other. No, that just means that the sum of all its positive and negative amounts of charge equals zero.

Explanation:

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