An anchor weighing 100lb in water is attached to a chain weighing 3lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 25ft
.
Work Done on an Object:
To calculate the work done on any object, the following relationship can be used: W=Fd=limn→[infinity]∑nj=1F(cj)d=∫baF(x)dx
}] First, it is helpful to list out what is known, and name those variables appropriately.
Based on the information from the problem, we know the following:
1.The anchor weighs 100pounds
and does not change.
2.The chain weighs 3lb/ft
in the water.
3.The anchor starts from a depth of 25ft
and is being pulled to the surface of 0ft, thus creating the interval (0,25).
4.The anchor is attached to a chain and tension produced by the chain is equal and opposite to the force of pulling it out of the water - which is the weight force due to gravity.
We, however, do not know the total length of the chain, but we can label this variable as x.
So, let's say that x=total length of chain and (25ft−x)
is the length of the chain in water.
The 25ft
term is due to the depth of the water. We can also say that (3lb/ft)(25ft−x)
is the weight of the chain in water.
From here, let F(x)
represent the force applied - which is the weight due to gravity - and measure it in pounds. F(x) should contain all elements that contribute to its size: the weight of the anchor and the weight of the chain in water.

Answer:

F= 1800N

Explanation:

the equation for force is F= ma

so plug in the numbers: F= (120)(15)

solve this to get F= 1800N

tip: don't forget to add the units when writing your answer :)

Answer:

1. Beryllium

2. 4

3. 9

4. 0

Explanation:

• The element shown in the image is beryllium because the atom shown contains four protons and the only element with four protons is beryllium.

• The atom's atomic number is 4, because atomic number is the number of protons of an element, and the atom shown contains 4 protons.

• The mass number of the atom is 9. Mass number is the sum of the number of protons and neutrons in the nucleus of an atom, and the atom shown contains 4 protons and 5 neutrons; therefore its mass number is (4 + 5 =) 9.

• The charge of the atom is 0. This is because it has 4 protons which give it a +4 charge, but it also has 4 electrons which give it a -4 charge. Therefore its net charge is: 4 + (-4) = 0.

During the first year of life, babies go through a series of developmental milestones in terms of sounds and gestures. Here is the order of the sequence, beginning with the earliest form at the top:1. Crying: Crying is one of the first forms of communication that babies use to express their needs or discomfort.

It is a natural instinct and serves as a way to get attention and assistance from caregivers.2. Cooing: Around 2 to 3 months, babies begin to produce cooing sounds. These are soft, vowel-like sounds that babies make when they are content and happy. It is an early attempt at vocalization.

3. Babbling: Between 6 to 8 months, babies start babbling. This is when they produce repetitive syllables such as "ba-ba" or "da-da." It is an important step in language development and helps babies practice using their vocal cords.
4. Gesturing: By around 9 to 12 months, babies start to use gestures to communicate. This includes waving goodbye, pointing at objects, or reaching out to be picked up. These gestures are their way of expressing their desires and interacting with their environment.

To know more about Babies growth visit-

brainly.com/question/32606654

#SPJ11

The car must be travelling at a speed of 28.21 m / s in order to land 90 m from the base of a 50 m high cliff.

According to Equations of motion,

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

In vertical motion,

s = 50 m

u = 0

a = 9.8 m / s²

50 = 0 + 1 / 2 * 9.8 * t²

t² = 50 / 4.9

t² = 10.2

t = 3.19 s

In horizontal motion,

s = 90 m

a = 0

90 = 3.19 u + 0

u = 90 / 3.19

u = 28.21 m / s

Therefore, the initial speed of the car must be 28.21 m / s

To know more about Equations of motion

https://brainly.com/question/5955789

#SPJ1

To connect all the components for an internet connection, there are a few steps to follow. Firstly, add the cable modem to the workspace, making sure that it is placed near a power outlet. Secondly, connect the modem to the WAN connection on the wall plate using an RG-6 coaxial cable. This is usually located near the cable or satellite TV connection.

Next, connect the computer to the cable modem using an Ethernet cable. One end of the cable should be plugged into the computer's Ethernet port, and the other end should be connected to the modem's Ethernet port. Make sure that the cable is securely plugged in on both ends.

Once the computer is connected, plug the modem into the power outlet. The modem will take a few moments to boot up and establish a connection with the internet service provider.

Finally, verify the internet connection using the Network settings on the computer. This can be done by opening the Network and Sharing Center on a Windows computer or the Network preferences on a Mac. If the connection is successful, the computer should display a message stating that it is connected to the internet.

In summary, connecting components for an internet connection involves adding the cable modem to the workspace, connecting it to the wall plate with an RG-6 coaxial cable, connecting the computer to the modem with an Ethernet cable, plugging the modem into a power outlet, and verifying the internet connection using the Network settings on the computer.

To know more about cable modem visit -

brainly.com/question/31834048

#SPJ11

According to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.

option B is the correct answer.

Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity unless acted upon by an external force.

In other words, an object will maintain its state of motion (whether it is at rest or moving in a straight line at a constant speed) unless a force acts upon it.

Thus, according to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.

Learn more about Newton's first law of motion here: https://brainly.com/question/10454047

#SPJ1  

Answer:

its B

Explanation:

Answer:

100n

Explanation:

Answer:

-100N

I hope this helps!

The displacement current through the 1-cm^2 area perpendicular to the uniform electric field is 1.33 × 10^-19 A.

The displacement current is given by the equation:

I_d = ε_0 * dΦ_E/dt

Where ε_0 is the permittivity of free space, Φ_E is the electric flux through the area, and dΦ_E/dt is the rate of change of electric flux through the area.

In this case, we have a uniform electric field that is increasing at the rate of 1.5(V/M)/us. The electric flux through a 1-cm^2 area perpendicular to the field is simply the product of the field strength and the area:

Φ_E = E * A

Where E is the electric field strength and A is the area.

Substituting the given values, we have:

Φ_E = (1.5 V/m/us) * (1 cm^2)

Φ_E = 0.015 V/us

Now, we can calculate the displacement current:

I_d = ε_0 * dΦ_E/dt

I_d = (8.85 × 10^-12 F/m) * (0.015 V/us)/(1 × 10^-6 s)

I_d = 1.33 × 10^-19 A

To know more about the uniform electric field, click here;

https://brainly.com/question/26446532

#SPJ11

Answer:

Explanation:

The mass of the object can be found by using the formula

\(m = \frac{p}{v} \\ \)

p is the momentum

v is the velocity

From the question we have

\(m = \frac{10}{20} = \frac{1}{2} \\ \)

We have the final answer as

Hope this helps you

Answer:

The vibrational frequency of the rope is 5 Hz.

Explanation:

Given;

number of complete oscillation of the rope, n = 20

time taken to make the oscillations, t = 4.00 s

The vibrational frequency of the rope is calculated as follows;

\(Frequency = \frac{number \ of \ complete \ vibrations}{time \ taken} \\\\Frequency = \frac{20 }{4 \ s} \\\\Frequency = 5 \ Hz\)

Therefore, the vibrational frequency of the rope is 5 Hz.

without additional information, we cannot calculate the exact magnitude of the torque required to hold the loop in the given position.

To find the magnitude of the torque required to hold the loop in the given position, we need to consider the relationship between the magnetic field, the area vector of the loop, and the torque acting on the loop.

The torque acting on a loop of area A in a magnetic field B can be calculated using the formula:

τ = B * A * sin(θ)

where:

τ is the torque,

B is the magnitude of the magnetic field,

A is the area vector of the loop,

θ is the angle between the magnetic field and the area vector.

Since the position of the loop is not described in the question, we cannot determine the angle θ or the area vector A.

To learn more about magnetic field visit:

brainly.com/question/23096032

#SPJ11

Answer:

Por que existe una relación entre dichas magnitudes.

Para un pendulo perfecto de largo L, sabemos que el periodo esta definido como:

\(T = 2*\pi *\sqrt{L/g}\)

Donde:

pi = 3.14

L = largo del péndulo

g = aceleración gravitatoria = 9.8 m/s^2

Entonces podemos ver que el periodo es proporcional a la raíz cuadrada de la longitud del péndulo.

Esto es por lo que al analizar datos de un experimento se debería observar una relación entre esas magnitudes.

The largest deflection from the isoelectric line in the ECG is found in the QRS complex.

The correct option is D.

An ECG (electrocardiogram) is a medical test that records the electrical activity of the heart. It is a non-invasive procedure that involves attaching electrodes to the skin of the chest, arms, and legs, which detects the electrical signals generated by the heart as it beats. These signals are amplified and recorded, producing a visual representation of the heart's electrical activity over time, known as an ECG waveform.

The QRS complex is the largest deflection from the isoelectric line in the ECG. It represents the depolarization of the ventricles and is typically a sharp, narrow peak.

Learn more about ECG at: https://brainly.com/question/11431788

#SPJ1

Answer:

D=mass /volume

=60/0.002

=30000

Electrons are emitted from the cathode with a range of velocities. This phenomenon can be explained by considering the energy distribution of electrons within the cathode material.

Electrons in a metal are in various energy states, which are influenced by factors such as temperature and the presence of an electric field.

When a potential difference is applied across a cathode and an anode, the electric field created between them can cause some electrons in the cathode to gain enough energy to overcome the work function, which is the minimum energy needed for an electron to be emitted from the surface of the metal. The energy of these emitted electrons varies due to their initial energy states and the amount of energy gained from the electric field.

Thermal energy can also play a role in electron emission. At higher temperatures, a greater number of electrons in the cathode have sufficient thermal energy to overcome the work function. These thermally emitted electrons will also exhibit a range of velocities depending on their initial energy states and the amount of thermal energy gained.

In summary, electrons are emitted from the cathode with a range of velocities due to the different energy states within the cathode material and the various energy sources, such as the electric field and thermal energy, that can contribute to overcoming the work function.

For more such questions on Electrons.

https://brainly.com/question/31517823#

#SPJ11

According to this graph, an object that would cause a mass extinction would need to be at least 10 km is diameter.

Any word (or pronoun) that forms the subject of a verb or preposition is referred to as an object. There are three categories of items: Straight Thing (e.g., I know him.) Unrelated Item (e.g., Give her the prize.) Prepositional Object (e.g., Sit with them.)

An expression's subject. The subject's verb's action upon a person, place, or thing is typically called the object. As you might expect, looking for the pronoun or the noun that follows the verb is the quickest approach to identify the subject in a simple sentence.

To know more about object visit:

brainly.com/question/19682773

#SPJ4

The centripetal force required to hold the Earth in orbit around the Sun is approximately 3.52 x \(10^{22}\) Newtons.

To calculate the centripetal force required to hold the Earth in orbit around the Sun, you can use the formula:

F = (m * v²) / r

where F is the centripetal force, m is the mass of the Earth, v is the orbital velocity, and r is the distance between the Earth and the Sun. The mass of Earth (m) is approximately 5.97 x \(10^{24}\)kg. The average distance between the Earth and the Sun (r) is approximately 1.496 x \(10^{11}\) meters (also known as 1 astronomical unit). The Earth's orbital velocity (v) is approximately 29,500 meters per second.

Using these values, you can calculate the centripetal force:

F = (5.97 x \(10^{24}\) kg * (29,500 m/s)²) / (1.496 x \(10^{11}\) m)

F ≈ 3.52 x \(10^{22}\) N

So, the centripetal force required to hold the Earth in orbit around the Sun is approximately 3.52 x \(10^{22}\) Newtons.

Know more about centripetal force    here:

https://brainly.com/question/29312275

#SPJ11

The resistors are connected in parallel between the terminals of a battery.

Note: If those resistors are connected in parallel, then their equivalent resistance is already 5 ohms, even if they're still in the drawer or in a box on the shelf. They don't have to be connected to a source of voltage for that to happen.

133xe is the chemical symbol for Xenon-133, an isotope of Xenon. It has 54 protons, 79 neutrons, and 54 electrons.


Xenon-133 has 54 protons, which determines its atomic number and chemical properties. It also has 79 neutrons, which contributes to its atomic mass. The electrons in Xenon-133 are arranged in energy levels around the nucleus, and there are 54 of them. The number of electrons is equal to the number of protons in a neutral atom. Knowing the number of protons, neutrons, and electrons in an atom is important for understanding its properties and behavior, such as its reactivity with other elements.


To summarize, Xenon-133 has 54 protons, 79 neutrons, and 54 electrons. These three subatomic particles play important roles in determining the properties and behavior of an atom.

To know more about electrons visit:

brainly.com/question/12001116

#SPJ11

Answer:

The Desire for New Trade Routes

Extra:

European explorers found the New World by mistake; they were not looking to find new continents but new sea routes. Europeans mainly wanted to find better trade routes to China, India, and Southeast Asia.

please give brainliest if possible

Answer:

the blue shopping cart.

Explanation:

The blue shopping cart doesnt have to worry about running someone over in the front. The red one does, so it slows down more.

The answer is False.

Nastic movements are non-directional movements that are caused by environmental stimuli, such as light, gravity, or touch.

Solar tracking is a type of nastic movement in which plants orient their leaves towards the sun. Touching or bending a stem does not stimulate its elongation. In fact, it can actually inhibit elongation. This is because touching or bending a stem can damage the cells in the stem, which can release hormones that inhibit growth. There are a number of factors that can stimulate stem elongation, including light, gravity, and hormones. Light is the most important factor, and plants will typically grow towards the light. Gravity also plays a role, and plants will typically grow upwards. Hormones, such as auxin, can also stimulate stem elongation. Touching or bending a stem does not stimulate its elongation. In fact, it can actually inhibit elongation. This is because touching or bending a stem can damage the cells in the stem, which can release hormones that inhibit growth.

Learn more about nastic movements here : brainly.com/question/30067017
#SPJ11

The fact that the speed of light is constant as it travels through a vacuum means that the relationship between the wavelength and frequency of photons is essential to understanding the electromagnetic spectrum. The correct options are a and b.

This constant speed of light is represented by the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.

Option a is correct. Since the speed of light is constant, if the wavelength of a photon is longer, its frequency must be lower to maintain the constant speed. This inverse relationship means that photons with longer wavelengths indeed have lower frequencies.

Option b is also correct. Radio wave photons have longer wavelengths and lower frequencies than gamma ray photons. This is because gamma rays are at the higher energy end of the electromagnetic spectrum, while radio waves are at the lower energy end.

Option c is incorrect. X-rays have difficulty penetrating the Earth's atmosphere due to their high energy and short wavelengths. This means they cannot be transmitted through the atmosphere around the world as easily as radio waves or other lower energy waves.

Option d is incorrect. Ultraviolet photons actually have more energy than visible photons. They have shorter wavelengths and higher frequencies, which results in higher energy levels according to the equation E = hν, where E is energy and h is Planck's constant.

To know more about speed of light, refer to the link below:

https://brainly.com/question/15002507#

#SPJ11

Answer:

A

Explanation:

Answer:

high=125m

speed up=50m s-¹

Explanation:

consider acceleration due to gravity = 10m s-²

upward as positive

in t=5s

ball rest momentarily velocity=0

you can know this by drawing s-t graph

consider the upward movement t=0-5s

we now have v=0 t=5 a= -10 and need find u

so use a=[v-u]/t

-10=[0-u]/5

-50=-u

u=50 ms-¹

then let find the displacement

s = (v+u)t*1/2

s= 50*5*1/2

s=125m

The distance travelled by Miguel in a time of 3.4 minutes is 510 m.

An object in motion is said to have constant velocity when the object travels equal displacements in equal intervals of time. That means the velocity is not changing with time.

Here,

The velocity of the skateboard, v = 150 m/min

Time taken by Miguel, t = 3.4 min

So,

The distance travelled by Miguel in 3.4 min is,

  s = v x t

  s = 150 x 3.4

  s = 510 m

Hence,

The distance travelled by Miguel in a time of 3.4 minutes is 510 m.

To learn more about constant velocity, click:

https://brainly.com/question/21261928

#SPJ9

False: The efficiency of a wet scrubber in removing a gaseous pollutant is typically increased at higher temperatures.

False: The efficiency of carbon adsorption generally decreases at higher temperatures. Higher temperatures can lead to desorption of adsorbed pollutants, reducing the effectiveness of carbon adsorption as a pollutant removal method.True: NOx emissions from incinerators tend to be lower at 1200 °F compared to 1800 °F. Lower temperatures can limit the formation of nitrogen oxides during the combustion process.

True: CO emissions from incinerators are typically lower at 1200 °F than at 1800 °F. At lower temperatures, the combustion process is less favorable for the production of carbon monoxide.True: The EPA (Environmental Protection Agency) recently issued a final rule to cap and phase down HFCs (hydrofluorocarbons) by 85% over the next 15 years. This action aims to reduce the use and emissions of HFCs, which are potent greenhouse gases contributing to climate change.

To learn more about scrubber.

Click here:brainly.com/question/2962127

#SPJ11

Answer:

120

Explanation:

KE = (mv^2)/2

= ((0.15)(40)^2)/2

= ((0.15)(1600))/2

= 240/2

The absolute uncertainty in the volume of the cube is 0.06 m³.

We need to know about the uncertainty of measurement to solve this problem. The uncertainty of cube volume can be determined by

V = s³

|ΔV| = dV/ds x Δs

where V is volume, s is length, ΔV is uncertainty in the volume and Δs is the uncertainty of length.

From the question above, we know that

s = 1.00 m

Δs = 2% of s = 2/100 x 1 = 0.02 m

By using the uncertainty of volume formula, we get

|ΔV| = dV/ds x Δs

|ΔV| = d(s³)/ds x Δs

|ΔV| = 3s² x Δs

|ΔV| = 3. 1² x 0.02

|ΔV| = 0.06 m³

Hence, the uncertainty in the volume is 0.06 m³.

Find more on uncertainty at: https://brainly.com/question/1577893

#SPJ4