In the skeletal system, these structures are responsible for connecting bones.


A.

ligaments and tendons

B.

cartilage and calcium

C.

tendons and muscles

D.

bones and ligaments

Final answer:

Wind causes erosion by deflating fine-grained particles, leading to landforms like desert pavements. It deposits sediments forming dunes. To prevent wind erosion, planting vegetation, creating windbreaks, and careful land management are effective.

Explanation:

How Wind Causes Erosion

Erosion is the process by which natural forces move sediments and other soil components from one place to another. Wind causes erosion primarily through a process known as deflation, which is the removal of loose, fine-grained particles by the turbulent action of the wind. Over time, these actions can result in landforms such as desert pavements, where only larger rocks remain because the smaller particles have been blown away.

Sediments Deposited by Wind

Sediments like sand and dust can be carried over great distances by wind before being deposited. These sediments can form various wind-deposited landforms, such as dunes. Dunes are hills of loose sand built by aeolian processes and are one of the most recognizable landforms deposited by wind.

Preventing Wind Erosion

To prevent wind erosion, practices such as planting vegetation cover, creating windbreaks, and managing land use to avoid overexposure of the soil are effective. Vegetative cover helps to bind the soil together and windbreaks, such as trees and shrubs, reduce the wind speed at ground level, preventing the soil from being picked up.

Answer:

Explanation:

Given that,

Mass of block

M = 2kg

Spring constant k = 300N/m

Velocity v = 12m/s

At t = 0, the spring is neither stretched nor compressed. Then, it amplitude is zero at t=0

xo = 0

It velocity is 12m/s at t=0

Then, it initial velocity is

Vo = 12m/s

Then, amplitude is given as

A = √[xo + (Vo²/ω²)]

Where

xo is the initial amplitude =0

Vo is the initial velocity =12m/s

ω is the angular frequency and it can be determine using

ω = √(k/m)

Where

k is spring constant = 300N/m

m is the mass of object = 2kg

Then,

ω = √300/2 = √150

ω = 12.25 rad/s²

Then,

A = √[xo + (Vo²/ω²)]

A = √[0 + (12²/12.5²)]

A = √[0 + 0.96]

A = √0.96

A = 0.98m

Answer:

40 m

Explanation:

English Translation for the question

Suppose Lisa needs to find a nearby bakery because she needs to improve her time to 80s. How far should the bakery be if she moves at a speed of 0.5m/s?

Speed = (Distance/time)

Speed = 0.5 m/s

Distance = how far away the bakery should be = d = ?

Time = 80 s

0.5 = (d/80)

d = 0.5×80 = 40 m

Hope this Helps!!!

In this Calculating Distance question, Para determinar la distancia a la que debe estar la panadería, podemos utilizar la fórmula de velocidad promedio. Reemplazando los valores conocidos, la panadería debe estar a una distancia de 40 metros.

Para calcular la distancia a la que debería estar la panadería, podemos utilizar la fórmula de velocidad promedio:

Velocidad promedio = Distancia / Tiempo

En este caso, la velocidad es de 0.5 m/s y queremos calcular la distancia. Dado que el tiempo es de 80 segundos (el cual debe convertirse a minutos), podemos reorganizar la fórmula para despejar la distancia:

Distancia = Velocidad promedio x Tiempo

Reemplazando los valores conocidos, tenemos:

Distancia = 0.5 m/s x 80 s = 40 metros

Por lo tanto, la panadería debe estar a una distancia de 40 metros para que Lisa mejore su tiempo a 80s.

Learn more about Calculating Distance here:

https://brainly.com/question/34212393

#SPJ12

Final answer:

After the first step of electrophilic aromatic substitution, aniline has several resonance structures representing the delocalization of the positive charge developed during the reaction. The number of possible structures depends on the attacking electrophile and its position on the ring.

Explanation:

Number of Resonance Structures in Aniline After Electrophilic Aromatic Substitution

After the first step of electrophilic aromatic substitution, aniline, which is a benzene ring with an amino (NH₂) group, can have several resonance structures. This reaction involves the attack of the nucleophilic π-bond of aniline on a cation electrophile (E+), resulting in a very unstable non-aromatic intermediate. This intermediate can be represented by multiple resonance structures, all of which help to delocalize the positive charge that develops on the benzene ring. However, the exact number of resonance structures after the first step varies depending on the electrophile involved and the position it attacks on the benzene ring. Typically, there are fewer resonance structures available for the intermediate compared to the original benzene ring, because the substitution disrupts the complete delocalization of electrons.

Answer:

Option B is the right choice.

Explanation:

Given:

Two sounds waves lets say [tex]S_1[/tex] and [tex]S_2[/tex] having same pitch but

We have to find the property which from the options and identify which one is greater for [tex]S_2[/tex] .

Lets take one and one analysis of the terms.

a.

Frequency :

According to the question the pitch is same so the frequency will be same for both the waves.

b.

Amplitude :

c.

Wavelength :

Here the frequency is same so the wavelength for [tex]S_1,S_2[/tex] will be same.

d.

Speed in air:

So,

Amplitude of [tex]S_2 > S_1[/tex] .

Here the amplitude of the louder sound wave will be greater .

Answer:

a) 8.25 m and 19 m/s

b) 19 m and 24 m/s

c) 32.25 m and 29 m/s

d) 48 m and 34 m/s

e) 66.25 m and 39 m/s

Explanation:

Let gravitational constant g = 10m/s2

Formula for displacement: [tex]s = v_0t + gt^2/2 = 14t + 10t^2/2 = 14t + 5t^2[/tex]

Formula for velocity: v = v_0 + gt = 14 + 10t

a) at t = 0.5s

[tex]s = 14*0.5 + 5*0.5^2 = 7 + 1.25 = 8.25 m[/tex]

v = 14 + 10*0.5 = 14 + 5 = 19 m/s[/tex]

b) at t = 1s

[tex]s = 14*1 + 5*1^2 = 19 m[/tex]

v = 14 + 10*1 = 24 m/s

c) at t = 1.5 s

[tex]s = 14*1.5 + 5*1.5^2 = 21 + 11.25 = 32.25 m[/tex]

v = 14 + 10*1.5 = 29 m/s

d) at t = 2s

[tex]s = 14*2 + 5*2^2 = 28 + 20 = 48 m[/tex]

v = 14 + 10*2 = 34 m/s

e) at t = 2.5s

[tex]s = 14*2.5 + 5*2.5^2 = 35 + 31.25 = 66.25 m[/tex]

v = 14 + 10*2.5 = 39 m/s

Answer: all of the values are comparable.

Explanation:

Values calculated by the two methods are comparable. The method using ΔH∘ and ΔS∘ is longer, but it can be used to determine how ΔG∘ changes with temperature. 

The magnitude of the torque on the current loop is 0.0055 Nm

Explanation:

Given data,

We  have the formula,

T= u x B

Where u=  i x A

T= i×A×B ×sin(30)

T=0.46×0.52² ×0.900×0.5

T=0.0055 Nm

The magnitude of the torque on the current loop is 0.0055 Nm

Explanation:

Given that,

Radius of the coil, r = 4.2 cm

Number of turns in the coil, N = 500

The magnetic field as a function of time is given by :

[tex]B=1.2\times 10^{-2}t+2.6\times 10^{-5}t^4[/tex]

Resistance of the coil, R = 640 ohms

We need to find the magnitude of induced emf in the coil as a function of time. It is given by :

[tex]\epsilon=\dfrac{-d\phi}{dt}\\\\\epsilon=\dfrac{-d(NBA)}{dt}\\\\\epsilon=N\pi r^2\dfrac{-dB}{dt}\\\\\epsilon=N\pi r^2\times \dfrac{-d(1.2\times 10^{-2}t+2.6\times 10^{-5}t^4)}{dt}\\\\\epsilon=N\pi r^2\times (1.2\times 10^{-2}+10.4\times 10^{-5}t^3)\\\\\epsilon=500\pi \times (4.2\times 10^{-2})^2\times (1.2\times 10^{-2}+10.4\times 10^{-5}t^3)\\\\\epsilon=2.77(1.2\times 10^{-2}+10.4\times 10^{-5}t^3)\ V[/tex]

Hence, this is the required solution.

Answer:

Explanation:

Radius of the coil, r = 4.2 cm

number of turns, N = 500

resistance in the circuit, R = 640 ohm

The magnetic field is given by

[tex]B=1.2\times 10^{-2}t+2.6\times 10^{-5}t^{4}[/tex]

(a) According to the Faraday's law of electromagnetic induction, the magnitude of induced emf is given by

[tex]e = \frac{d\phi}{dt}[/tex]

magnetic flux, Ф = N x B x A x Cos 0

Ф = N A B

Differentiate both sides

[tex]\frac{d\phi}{dt}=NA\frac{dB}{dt}[/tex]

[tex]\frac{d\phi}{dt}=500\times 3.14 \times 0.042\times 0.042\times \left ( 1.2\times 10^{-2}+4 \times 2.6\times 10^{-5}t^{3}\right )[/tex]

So, the magnitude of induced emf is given by

[tex]e =3.324\times 10^{-2}+28.8 \times 10^{-5}t^{3} V[/tex]

This is the magnitude of induced emf as the function of time.

Final answer:

Barnard's Star is approximately 56.76 trillion kilometers away from Earth, which is calculated by multiplying the distance of one light-year (9.46 × 10¹² kilometers) by 6 light-years.

Explanation:

To calculate the distance from Earth to Barnard's Star in millions of kilometers, we need to multiply the distance of one light-year in kilometers by the number of light-years Barnard's Star is from Earth. One light-year is equal to approximately 9.46 × 10¹² kilometers. Since Barnard's Star is 6 light years away, we multiply 9.46 × 10¹² kilometers by 6 to get the distance.

9.46 × 10¹² kilometers/light-year × 6 light-years = 56.76 × 10¹² kilometers

Therefore, Barnard's Star is approximately 56.76 trillion kilometers away from Earth, which can also be written as 56,760 million kilometers.

Answer:

Why don't you search for the formula, this one is really basic. The answer is below

Explanation: The formula t= d/s or d= st or s= d/t in this problem we use:

t = d/s

t is time

d is distance and s is speed

so just plug in the data which are given in the question,

185 km is the distance,d

95 km/h is the speed, s

It tell you to calculate how long means t= 185/95 ≈ 1.947 or 2 hours

Final answer:

To calculate the time it will take to drive 185 km at an average speed of 95 km/h, you divide the distance by the speed to get approximately 1 hour and 57 minutes.

Explanation:

The question asks us to calculate the time it will take to travel to your grandparents' house at a constant speed. This is a classic speed, distance, and time problem that can be solved using the formula: time = distance \/ average speed. To find the time it will take to reach the grandparents' house, we divide the distance by the average speed.

Step-by-Step Calculation:

Distance to grandparents' house = 185 km.

Average speed = 95 km/h.

Time = Distance \/ Average Speed = 185 km \/ 95 km/h.

Time = 1.9474 hours.

To convert hours to minutes, we multiply by 60 (since each hour has 60 minutes).

Time = 1.9474 hours × 60 minutes/hour = 116.842 minutes, which is approximately 1 hour and 57 minutes.

Therefore, it will take nearly 1 hour and 57 minutes to get to your grandparents' house if you drive at an average speed of 95 km/h.

Nitrogen could form 3 bonds based on octet rule, because it has 5 valence electrons. That means it needs 3 bonds.

Explanation:

Answer:

8.27°

Explanation:

To angle difference will be determined by the difference in the displacement of the springs, produced by the weight of the center of mass of the rod.

[tex]d=y_1-y_2=\frac{F_1}{k_1}-\frac{F_2}{k_2}=\frac{0.5mg}{31N/m}-\frac{0.5mg}{63N/m}\\\\d=0.5(1.6kg)(9.8m/s^2)[\frac{1}{31N/m}-\frac{1}{63N/m}]=0.128m[/tex]

by a simple trigonometric relation you obtain that the angle:

[tex]sin\theta=\frac{d}{l}=\frac{0.128m}{0.89m}=0.144\\\\\theta=sin^{-1}(0.144)=8.27\°[/tex]

hence, the angle between the rod and the horizontal is 8.27°

Answer:

Antarctic Circle

Explanation:

The Tropic of Cancer, which is also referred to as the Northern Tropic, is the most northerly circle of latitude on Earth at which the Sun can be directly overhead. This occurs on the June solstice, when the Northern Hemisphere is tilted toward the Sun to its maximum extent.

Tropic of Capricorn Is it Southern Hemisphere counterpart, marking the most southerly position at which the Sun can be directly overhead.

Answer:[tex]0.25f_{12}[/tex]

Explanation:

Given

When Sphere 1 and 2 are present then force is [tex]f_{12}[/tex]

suppose q is the charge on both the sphere and [tex]d=1\ cm[/tex] is the distance between them then

[tex]f_{12}=\dfrac{kq^2}{d^2}[/tex]

Now sphere 2 is removed and sphere 1 is brought in contact with sphere 3

Charge will be automatically  distributed among two spheres

i.e. both will acquire a charge of [tex]0.5 q[/tex]

Now force between them is

[tex]f'=\dfrac{k\times 0.5q\times 0.5q}{d^2}[/tex]

[tex]f'=0.25\times \dfrac{kq^2}{d^2}[/tex]

[tex]f'=\dfrac{f_{12}}{4}[/tex]

Answer:

F=1.14N j

Explanation:

The magnitude of the magnetic force over a charge in a constant magnetic field is given by the formula:

[tex]|\vec{F}|=|q\vec{v} \ X\ \vec{B}|=qvsin\theta[/tex]  (|)

In this case v and B vectors are perpendicular between them. Furthermore the direction of the magnetic force is:

-i X k = +j

Finally, by replacing in (1) we obtain:

[tex]\vec{F}=(170C)(135\frac{m}{s})(5.0*10^{-5}T)=1.14N\ \hat{j}[/tex]

hope this helps!

Answer:

The force on the particle, F = 1.15 N

Explanation:

Charge, q = 170 Coulombs

speed of the particle, v = 135 m/s

Magnetic field, B = 5 * 10⁻⁵ T

The force is perpendicular to the magnetic field, θ = 90°

The force of the particle is given by the formula,

F = qvBsinθ

F = 170 * 135 * 5 * 10⁻⁵ * sin90°

F =1.15 N

Answer:

The question is missing

The total annual U.S. energy consumption is about 2 × 10^20 J

Explanation:

So, if the annual Energy is

2 × 10^20J

Let find the power usage of this energy

We know that

Power = Energy / Time

Now, the time is one year, so we have to convert one year to seconds

1year = 365days

365days = 365 × 24hours

365 × 24 hours = 365 × 24 × 3600 seconds

Then,

1year = 31,536,000seconds

Then,

P = E / T

P = 2 × 10^20 / 31,536,000

P = 6.342 × 10^12 Watts

The power intensity is given as

I = P/A

Then,

A = P / I

Where,

P is power, I is intensity and A is area

Given that, I = 230 W/m²

A = 6.342 × 10^12 / 230

A = 2.757 × 10^10 m²

To meet the United States' energy needs using solar cells generating 230 watts/m², an area of approximately 14,500 km² is required.

To determine the total area of solar cells needed to supply all the power needed for the United States, we start with the given average power generation of 230 watts/m².

The energy needs for the United States per year is given as 1.05 × 10²⁰ Joules.

Convert Energy to Power:

First, we need to convert this annual energy requirement into average power, knowing that there are 31,536,000 seconds in a year (365 days × 24 hours/day × 3600 seconds/hour).

Average Power Required = [tex]\frac{Total Energy}{Time}[/tex] = (1.05 × 10²⁰J) ÷ {31,536,000 s} ≈ 3.33 × 10¹² watts

Calculate the Area Required:

If each square meter generates an average power of 230 watts, we can find the total area (A) by dividing the total power required by the power generated per square meter.

Required Area = [tex]\frac{Total Power Required}{Power Generated per unit area}[/tex] = 3.33 × 10¹² watts ÷ 230 watts/m² ≈ 1.45 × 10¹⁰ m²

To find the area in square kilometers, we convert square meters to square kilometers knowing that 1 km² = 1,000,000 m².

Total Area in km² = (1.45 × 10¹⁰ m²) ÷ (1,000,000 m²/km²) = 14,500 km²

Thus, approximately 14,500 km² of solar cells would be needed to generate enough power to meet the United States' energy needs.

Answer:

Convex mirror

Explanation:

Using the mirror formula

1/V+1/U=1/F

Were F=r/2

F=-14/2=-7

So 1/V=-1/7-1/U

Since v=image distance

U= object distance

F= local length

It is only convex mirror that have both local length and image distance negative

Answer:

Explained in Depth.

Explanation:

It is all matter of what kind of stars are we talking about, for simplicity let's say we are talking about normal stars such as our sun.

If there is a molecular cloud that has a mass that is slightly larger than our sun then it is possible that the gravity will eventually pull together cloud into a sphere that would have enough mass to start nuclear fusion which is important to become a star.

Mass of such cloud would be 1.98x10^30Kg almost equal to the sun's mass.

All of this implies that stars are formed when there is enough mass to let gravity pull it all together into a sphere that has enough gravitational pull to start nuclear fusion inside the core.

Molecular clouds, with masses ranging from a few times the mass of the Sun to 10 million solar masses, form stars when their dense cores collapse due to gravity overcoming internal pressure. This process involves clumps and cores within the clouds, eventually leading to the birth of a star as gravity causes the core to contract and increase in density significantly.

Molecular clouds range in mass from a few times the mass of our Sun (solar masses) to 10 million solar masses, while individual stars vary from 0.08 to about 150 solar masses. This significant range in mass implies a crucial relationship in star formation.

Molecular clouds, also known as stellar nurseries, contain complex structures including clumps and cores. Clumps within these clouds have masses between 50 and 500 solar masses, and are subdivided into even denser regions called cores, which can serve as the embryos of stars due to their high density and low temperature. As gravity pulls the material in these cores inward, the material collapses under its own weight, eventually forming a star.

The ongoing battle between gravity and pressure defines the star formation process. When gas atoms in the cores are dense and cold enough, gravity overcomes internal pressure, leading to collapse and the birth of a star. This collapse reduces the radius and increases the density of the core by a factor of nearly [tex]10^{20}[/tex], resulting in the formation of a dense, hot ball of matter where nuclear reactions can begin, giving rise to a new star.

Answer:

To drive at high speed around an unbanked horizontal curve on the earth.

Explanation:

Garvitational pull on on eart is 6 times more than on the moon. On. Earth, the vehicle will have more grip on the surface due to its weight. This grip will reduce its tendency to skid off the horizontal curve when compared to driving in the same unbanked horizontal curve on the moon.

Final answer:

Driving at high speed around an unbanked horizontal curve would be easier on Earth compared to the moon, because Earth's greater gravity provides a higher force of static friction, reducing the risk of slipping at high speeds.

Explanation:

When deciding whether it would be easier to drive at high speed around an unbanked horizontal curve on the moon or the earth, with other things being equal, we need to consider the force of static friction and the acceleration required to maintain uniform circular motion. The acceleration in question is given by the equation |a| = |v|²/r, where |a| is the magnitude of acceleration, |v| is the speed of the car, and r is the radius of the circular path.

On the moon, due to its lower gravity, the force of static friction is less than it is on earth. Despite that, it would be more challenging to drive at high speed on the moon because a lower force of static friction means a lower threshold for slipping. On earth, the higher gravity increases the maximum force of static friction, allowing for a presumably safer high-speed turn, assuming no additional adverse conditions like rain or mud. Therefore, b. To drive at high speed around an unbanked horizontal curve on the earth would be easier for the given scenario.

Answer:

option A

Explanation:

Given,

wavelength of light,[tex] \lambda = 560\ nm[/tex]

refractive index of gasoline, n₁ = 1.40

Refractive index of water, n₂ = 1.33

thickness of the film, t = ?

Condition of constructive interference is given by

[tex]2 n t = (m+\dfrac{1}{2})\lambda[/tex]

For minimum thickness of the film m = 0

From the question we can clearly observe that phase change from gasoline to air

so, n = 1.4

[tex]2 \times 1.4 \times t = \dfrac{560}{2}[/tex]

[tex] t = 100\ nm[/tex]

Hence, the correct answer is option A

Answer:

B, C, F

Explanation:

Final answer:

Nuclear binding energy is the energy required to separate the particles of a nucleus, while the strong nuclear force is the force that keeps protons and neutrons together within the nucleus. The binding energy can be calculated using E = mc², and the strong nuclear force operates over extremely short distances within an atomic nucleus.

Explanation:

The difference between nuclear binding energy and the strong nuclear force has to do with their functions and properties within an atom. Nuclear binding energy is the energy needed to separate nuclear particles. To calculate this energy, we can use Einstein's famous equation E = mc², where E represents the energy, m represents the mass defect, and c represents the speed of light. This energy is what holds the nucleus together and, when released, often accompanies nuclear reactions such as fusion or fission.

On the other hand, the strong nuclear force is an attractive force that keeps protons and neutrons in the nucleus bound together. This force operates over very short distances, only effective within the realm of the atomic nucleus. It is not the energy itself but the force that counteracts the highly repulsive Coulomb force between protons, ensuring that the nucleus remains stable.

Thus, the correct statements explaining the difference between nuclear binding energy and the strong nuclear force are:

Answer:

The difference between the systolic and the diastolic pressure is the pulse

Explanation:

Systolic blood pressure is the top number of the maximum pressure your heart exerts while beating (systolic pressure),

and the bottom number is the amount of pressure in your arteries between beats (diastolic pressure).

The numeric difference between your systolic and diastolic blood pressure is called your pulse pressure.

Hence systolic - diastolic = pulse

Answer:

Pulse pressure

Explanation:

Blood pressure readings are given in two numbers, upper and lower limit.

- The upper limit is the maximum pressure your heart exerts while beating, also called systolic pressure.

- The lower is the amount of pressure in your arteries between beats, also called diastolic pressure.

- The numerical difference between systolic and diastolic pressure is called the pulse pressure.

- For example, if your resting blood pressure is 120/80 millimeters of mercury (mm Hg).

                  systolic pressure = 120 mm Hg

                  diastolic pressure = 80 mm Hg

                  Pulse pressure = 120 - 80 = 40 mm Hg

Answer:

it increases

Explanation:

It requires energy to bring two identical, similar positive charges together. As the charges come closer, the electrical potential energy will increase.

Potential energy is a form of stored energy that is dependent on the relationship among different components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the floor as opposed to falling to the ground, it has more potential energy. It is capable of carrying out additional work when raised.

Potential energy is a feature of systems rather than of particular bodies or particles; for instance, the system created up of Earth and the elevated ball has more energy stored as they become further apart.

Potential energy develops in systems components whose configurations, or spatial arrangement, determine the amount of the forces they apply to one another.

To know more about Potential energy:

https://brainly.com/question/24284560

#SPJ5

The question applies work-energy theorem to find the speed of the hammerhead and the average force. For the speed, we calculate the work done by gravitational and frictional forces. For the average force, we use the work done on the I-beam and the fall distance.

To solve this question, we can apply the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.

Let's start with part (a), the speed of the hammerhead just as it hits the I-beam:

To calculate the speed, we need to find the work done on the hammerhead. The work done involves the gravitational force and the frictional force. The work done by the gravitational force is mgh, where m is the mass (200 kg), g is gravity (9.8 m/s^2), and h is the fall height (3.00 m). The work done by the frictional force is -fd, where f is frictional force (60.0 N) and d is the fall distance (3.00 m). By solving these and equating them to change in kinetic energy (1/2 mv^2), we can find the speed v.

For part (b), the average force the hammerhead exerts on the I-beam:

The average force can be dropped by using the work done on the I-beam and the fall distance. Work done on the I-beam can be calculated by the difference in kinetic energy before and after hitting the I-beam. This work done is equal to force times distance (fd). By solving this, we get the average force on the I-beam.

https://brainly.com/question/32184004

#SPJ3

Answer:

The height at point of release is 10.20 m

Explanation:

Given:

Spring constant [tex]k = 5 \times 10^{3} \frac{N}{m}[/tex]

Compression [tex]x = 0.10[/tex] m

Mass of block [tex]m = 0.250[/tex] kg

Here spring potential energy converted into potential energy,

   [tex]mgh = \frac{1}{2} kx^{2}[/tex]

For finding at what height it rise,

  [tex]0.250 \times 9.8 \times h = \frac{1}{2} \times 5 \times 10^{3} \times (0.10) ^{2}[/tex]                ( ∵ [tex]g = 9.8 \frac{m}{s^{2} }[/tex] )

  [tex]h = 10.20[/tex] m

Therefore, the height at point of release is 10.20 m

This question involves the concepts of the law of conservation of energy, elastic potential energy, and gravitational potential energy.

The block will rise "10.2 m" high above the point of its release.

According to the law of conservation of energy, the elastic potential energy stored by spring must be equal to the gravitational potential energy acquired by the block.

[tex]mgh = \frac{1}{2}kx^2[/tex]

where,

m = mass = 0.25 kg

g = acceleration due to gravity = 9.81 m/s²

h = heoght = ?

k = spring constant = 5000 N/m

x = compression = 0.1 m

Therefore,

[tex]h=\frac{(5000\ N/m)(0.1\ m)^2}{2(0.25\ kg)(9.81\ m/s^2)}[/tex]

h = 10.2 m

Learn more about the law of conservation of energy here:

brainly.com/question/20971995?referrer=searchResults

The attached picture explains the law of conservation of energy.

In the Physics topic of static equilibrium, this problem finds the distance the cat can walk right from sawhorse B before the plank tips. The calculated distance, 0.56m, is found by setting the torques exerted by the cat and plank equal to each other and solving for the unknown distance.

The category of this problem belongs to Physics, specifically in the topic of static equilibrium. In this problem, we want to find out how far right the cat can walk from sawhorse B before the plank begins to tip.

First, realize the plank will begin to tip once the center of mass of the system (plank plus cat) is directly above sawhorse B.

To maintain equilibrium, the torque exerted by the cat must be equal to the torque exerted by the plank, given by Torque = Force x Distance (or) m1d1 = m2d2. The force is the weight of the object.

So we have, M*d1 = (M+m)*d2, here M is the mass of the plank, m is the mass of the cat. By substituting the known values (M=7kg, d1=0.85m, m=3.6kg) and solving for d2:

7*0.85 = (7 + 3.6)*d2, we get d2 = 0.85*7/10.6 ≈ 0.56m (rounded).

So, the cat can walk about 0.56m to the right of sawhorse B before the plank starts to tip.

https://brainly.com/question/29316883

#SPJ11

The value of 1.65 meters is the maximum distance the cat can walk to the right of sawhorse B before the plank tips.

We need to set up the conditions for static equilibrium and rotational equilibrium.

The plank has mass M = 7.00 kg and its center of mass is located at d₁ = 0.850 m to the left of sawhorse B.

The cat has a mass of 3.6 kg and is initially at a distance d₂ = 1.11 m to the right of sawhorse B where the plank starts to tip.

To find the tipping point, we need the sum of moments about sawhorse B to equate to zero upon tipping.

Rotational equilibrium condition:

Στ = 0 = (M * g * d₁) - ([tex]m_{cat[/tex] * g * d₂)

Where g is the acceleration due to gravity.
Substituting back in the appropriate values, we have:

(7.00 kg * 9.8 m/s² * 0.850 m) = (3.6 kg * 9.8 m/s² * d₂)

Simplifying, (7 * 0.850) = (3.6 * d₂)

Thus,
d2 = (7 * 0.850 / 3.6) = 1.65 m

Therefore, the cat can walk a maximum distance of 1.65 m to the right of sawhorse B before the plank tips.

Answer:

1) The velocity remain the same

2) the frequency remains the same

3) the energy increases by four times.

To solve this problem, we need to analyze the forces and energies involved. The force of 0.35 N applied to the string by your hand is equal to the tension in the string.

To solve this problem, we need to analyze the forces and energies involved. The force of 0.35 N applied to the string by your hand is equal to the tension in the string. The work done by this force is given by the formula W = Fd, where W is the work done, F is the force applied, and d is the distance moved in the direction of the force.

Since the yo-yo moves down a distance of 0.32 m while your hand moves up a distance of 0.16 m, the yo-yo has a greater displacement in the direction of the force. Therefore, the work done by your hand on the yo-yo is positive.

The work done on an object is equal to the change in its translational kinetic energy. The increase in translational kinetic energy of the yo-yo can be calculated using the formula ΔKE = W. To find the new speed of the yo-yo, we can use the principle of conservation of energy, which states that the total mechanical energy of a system remains constant. The increase in the rotational kinetic energy of the yo-yo can be calculated using the formula ΔKE_rot = ΔKE - ΔKE_trans.

https://brainly.com/question/29861164

#SPJ12