A bird is flying with a speed of 18.0 m/s over water when it accidentally drops a 2.00 kg fish. If the altitude of the bird is 5.40 m and friction is disregarded, what is the mechanical energy of the system, and what is the speed of the fish when it hits the water?

Answers

Answer 1
1) What is the mechanical energy of the system?
(here I assume that "system" refers to the fish, because we don't know the mass of the bird).
The mechanical energy of the fish is conserved during the entire free fall, because there are no friction acting on it, therefore we can calculate it at the beginning of its free fall, when it is dropped by the bird. At this instant, the velocity of the fish is equal to the speed of the bird [tex](v_i=18 m/s)[/tex], and the distance from the ground is h=5.40 m. The mechanical energy is the sum of its kinetic energy and its potential energy:
[tex]E=K+U= \frac{1}{2}mv_i^2+mgh=[/tex]
[tex]= \frac{1}{2}(2 kg)(18 m/s)^2 +(2kg)(9.81 m/s^2)(5.40m)=430 J[/tex]

2) When the fish hits the water, its potential energy has become zero, because the height from the water is now zero: h=0. This means that the mechanical energy E (which is conserved) is now only kinetic energy. Therefore we can write:
[tex]E=K_f = \frac{1}{2}mv_f^2 [/tex]
And we can find the final speed:
[tex]v_f = \sqrt{ \frac{2E}{m} }= \sqrt{\frac{2\cdot 430 J}{2 kg}} = 20.7 m/s[/tex]
Answer 2

(a) The mechanical energy of the system is 429.84 J.

(b) The speed of the fish when it hits the water is 20.73 m/s.

Given data:

The speed of flying bird is, v = 18.0 m/s.

The mass of fish is, m = 2.00 kg.

The altitude of bird is, h = 5.40 m.

(a)

Since the fish is carried by the bird initially. So, considering them as a part of single system. The mechanical energy (ME) of system is given as,

[tex]\rm ME = \rm kinetic\;\rm energy + \rm potential \;\rm energy\\ME = \dfrac{1}{2}mv^{2} + mgh\\\\ME = \dfrac{1}{2} \times 2.00 \times 18.0^{2} + (2.00 \times 9.8 \times 54.0)\\\\ME= 429.84 \;\rm J[/tex]

Thus, the mechanical energy of the system is 429.84 J.

(b)

When the fish is dropped to water at ground, then entire mechanical energy is converted into the kinetic energy (or potential energy becomes zero). So,

mechanical energy = kinetic energy

[tex]ME = \dfrac{1}{2}mv^{2}[/tex]

Here, v is the speed of fish, with which it hits the water.

Solving as,

[tex]429.84 = \dfrac{1}{2} \times 2.00\times v^{2}\\v=\sqrt{429.84} \\v = 20.73 \;\rm m/s[/tex]

Thus, the speed of the fish when it hits the water is 20.73 m/s.

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Related Questions

Explain how fusion and fission are similar to and different from each other. Thanks.

Answers

Fusion is the act of putting together ( fusing ) two items so that they become one. Fission is the act of dividing or splitting an item.

Roberto and his sister had a garden in the backyard. Every spring they grew strawberries, like the plant you see here. Plants make their own food through the process of photosynthesis. What non-living parts of this backyard ecosystem are needed for the plant to survive? A) oxygen, water, and sunlight B) water, oxygen, and sunlight C) water, carbon dioxide, sunlight D) carbon dioxide, oxygen, sunlight

Answers

C) water, carbon dioxide, sunlight

It's not physics it's physical science but I figured this was the closest subject to it. 1. The life cycle of a star begins with a cloud of gas and dust called a (1 point)

Answers

The life cycle of a star begins with a Nebula

Michaela is baking a dessert. She measures 100 mL of vegetable oil by pouring it from the bottle into a measuring cup. Then she pours the vegetable oil into a bowl with the other ingredients. Which best describes what happened to the vegetable oil during this process? The volume of the vegetable oil changed, but the shape did not. The shape of the vegetable oil changed but the volume did not. Both the volume and the shape of the vegetable oil changed. Both the volume and the shape of the vegetable oil remained the same.

Answers

The shape of the vegetable oil changed but the volume did not.

Option B: The shape of the vegetable oil changed but the volume did not.

To answer this question, we need to understand the states of matter.

It is pertinent to know that the state of matter will only change when it gains or loses energy.

In this case, the vegetable oil is just transferred from a bottle into a cup and then into a bowl. In all this, no energy was gained nor lost, the only thing that will change will be the new shape of the oil because of the bowl in which it currently resides which is different in shape than the bottle.

Thus, we can conclude that the shape of the vegetable oil changed, but the volume didn't change

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Which statement best describes the electrons in this illustration ?

A) The electrons are negatively charged particles located outside the nucleus

B) The electrons are positively charged particles located inside the nucleus

C) The electrons are negatively charged particles located inside the nucleus

D) The electrons are positively charged particles located outside the nucleus


Please help according to the photo I attached.
The correct answer will be rewarded! Thanks.

Answers

A is obviously true
the electrons are located around the nucleus (nucleus is made up of protons and neutrons.)
electrons are negatively charge particles
protons are positively charged particles
neutrons are neutral
hope this helps

The statement which best describes the electron in the given illustration is the electrons are negatively charged particles located outside the nucleus.

What is electron?

Electron is the the elementary particle of atom. The electron is negatively charged element of a atom, with the magnitude equal to the [tex]1.6\times10^{-19}[/tex] C. This charge of electron is equal and opposite of the charge of proton.

The neutron (neural partial of atom) and the proton(positively charged particle of atom) is located inside the nuclease.

Unlike the neutron and proton, the electron located outside of the nucleus as shown in the image given in the problem.

Lets check all the option-

A) The electrons are negatively charged particles located outside the nucleus- As the electron are negatively charged particle and unlike the neutron and proton, the electron located outside of the nucleus. Thus, this is the correct option.

B) The electrons are positively charged particles located inside the nucleus- As the electron are negatively charged. Thus, this is an incorrect option.

C) The electrons are negatively charged particles located inside the nucleus- Unlike the neutron and proton, the electron located outside of the nucleus. Thus, this is an incorrect option.

D) The electrons are positively charged particles located outside the nucleus-As the electron are negatively charged. Thus, this is an incorrect option.

Thus, the statement which best describes the electron in the given illustration is the electrons are negatively charged particles located outside the nucleus. Therefore, the option A is the correct option.

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Two or more velocities add by ____?

Plz help

Answers

by vector addition.
In fact, velocity is a vector, with a magnitude intensity, a direction and a verse, so we can't simply do an algebraic sum of the two (or more velocities). 
First we need to decompose each velocity on both x- and y-axis (if we are on a 2D-plane), then we should do the algebraic sum of all the components on the x- axis and of all the components on the y-axis, to find the resultants on x- and y-axis. And finally, the magnitude of the resultant will be given by
[tex]R= \sqrt{(R_x)^2+(R_y)^2} [/tex]
where Rx and Rx are the resultants on x- and y-axis. The direction of the resultant will be given by
[tex]\tan \alpha = \frac{R_y}{R_x} [/tex]
where [tex]\alpha[/tex] is its direction with respect to the x-axis.
Final answer:

In physics, two or more velocities are usually added by using vector addition, adding together their horizontal and vertical components. For example, if one object moves east at 3 m/s and another north at 4 m/s, you would add these using a graph and the Pythagorean theorem.

Explanation:

In physics, two or more velocities are typically added by methods of vector addition. To add velocities, you first decide on a common reference frame. Then, you perform vector addition, which includes adding the x-components (horizontal velocities) together to get the total x-component, and adding the y-components (vertical velocities) together to get the total y-component.

For instance, if one object is moving at a velocity of 3 m/s to the east, and another object is moving at a velocity of 4 m/s to the north, you would add these velocities together by drawing them as arrows on a graph, and then using the Pythagorean theorem to find their resultant velocity. This is known as adding velocities, and it's crucial in understanding the concepts of motion and direction in physics.

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An air bag applies a force of 6100 N to bring about a change in momentum of 3540 kg m/s. How much time did it act over
A. 0.26 s
B. 6.1 s
C. 0.58 s
D. 35 s
E. 1.7 s

Answers

The correct answer is C) 0.58 s.

In fact, Newton's second law says that the force applied to an object is the product between the mass and the acceleration of the object:
[tex]F=ma[/tex]
but the acceleration is the change of velocity in a time [tex]\Delta t[/tex]:
[tex]a= \frac{\Delta v}{\Delta t} [/tex]
So F becomes
[tex]F=m \frac{\Delta v}{\Delta t} [/tex]
Remembering that the momentum is the product between mass and velocity:
[tex]p=mv[/tex]
The numerator in the formula of F is the change in momentum:
[tex]F= \frac{\Delta p}{\Delta t} [/tex]
So we can find the interval of time the force acts:
[tex]\Delta t= \frac{\Delta p}{F}= \frac{3540 kg m/s}{6100 N}=0.58 s [/tex]

The buoyant force acting on an object is always equal to

A. the weight of the submerged portion of the object
B. the mass of the submerged portion of the object
C. the weight of the fluid the object displaces

Answers

The correct choice is C .
I think the correct answer is C as well

A car is moving at 12 m/s and has a mass of 600 kg. What is the kinetic energy of the car? (Formula: )

Answers

As we know that kinetic energy is given by formula

[tex]K = \frac{1}{2} mv^2[/tex]

here

m = mass of the object

v = speed of the object

now we can plug in the values of mass and speed in the above formula

[tex]K = \frac{1}{2}*600*12^2[/tex]

[tex]K = 300*144[/tex]

[tex]K = 43200 J]/tex]

so kinetic energy of the car is 43200 J

Answer:

B. 43200 J

Explanation:

A substance has a specific heat of 0.870 J/g°C. It requires 2,000.0 joules to increase the temperature of 10.0 grams of the substance from its original temperature to its final temperature.
By how many degrees did the substance increase?
87.0°C
174°C
230°C
1,740°C

Answers

Answer: [tex]230^0C[/tex]

Explanation:

[tex]Q=m\times c\times \Delta T[/tex]

q = heat absorbed or released by a substance = 2000.0 J

m= Mass of substance = 10.0 g

c = specific heat of the substance = [tex]0.870 J/g^0C[/tex]

[tex]\Delta T=T_f-T_i[/tex] = Change in temperature

Putting in the values we get:

[tex]2000.0J=10.0g\times 0.870J/g^0C\times \Delta T[/tex]

[tex]\Delta T=230^0C[/tex]

Thus the temperature changed by [tex]230^0C[/tex].

Answer:Answer is C. 230 degrees celsius.

Explanation:Edge 2023

The relationship between frequency, wavelength, and speed holds for light waves because

A.light travels slower in a vacuum than in air
B.all forms of electromagnetic radiation travel at a single speed in a vacuum
C.light travels in straight lines
D. Different forms of electromagnetic radiation travel at different speeds

Answers

B. all forms of electromagnetic radiation travel at a single speed in a vacuum, which is the speed of light (c).

Therefore wavelength and frequency are inversely proportional to each other, with their product equaling the speed of light (c).

λν=c where λ is the wavelength, ν is the frequency and c is the speed of light
Final answer:

The relationship between frequency, wavelength, and speed holds for light because each type of electromagnetic wave travels at the same speed (the speed of light) in a vacuum. This leads to a constant relationship between these parameters for all light waves, described by the equation: speed of light = frequency X wavelength.

Explanation:

The relationship between frequency, wavelength, and speed holds for light waves because all forms of electromagnetic radiation travel at a single speed in a vacuum. This speed is known as the speed of light, typically represented by the symbol c and is approximately 299,792 kilometers per second. These properties of light waves are commonly captured in the formula c = λν, where c is the speed of light, λ (lambda) is the wavelength, and ν (nu) is the frequency. This means that the frequency of a light wave times its wavelength always equals the speed of light. Therefore, the relationship between frequency, wavelength, and speed holds for light because these factors are intrinsically linked, irrespective of the type of electromagnetic wave.

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Which sentence most likely explains why the rock has large open pores

Answers


ur answer is C) Bubbles formed in the magma when it was still in liquid form.

Answer:I got it right on quiz

Explanation:

What conclusions can be drawn about the existence of nitrogen-14 and nitrogen-15? A) They are isotopes of nitrogen and they contain the same number of protons and electrons but each contains a different number of neutrons - 7 and 8 respectively. B) They are the same form of nitrogen and they include the same number of electrons and neutrons but each contains a different number of protons - 7 and 8 respectively. C) They are several allotropes of nitrogen and they accommodate the same number of neutrons but each contains a different numbers of protons and electrons - 7 and 8 respectively. D) They are different configurations of nitrogen and they consist of the same number of protons and neutrons but each contains a different number of electrons - 7 and 8 respectively. Eliminate

Answers

Answer: A) They are isotopes of nitrogen and they contain the same number of protons and electrons but each contains a different number of neutrons - 7 and 8 respectively.

Isotopes are atoms of a chemical element whose nucleus has the same atomic number, Z, but different atomic mass, A. The atomic number corresponds to the number of protons in the atom, therefore the isotopes of an element contain the same number of protons and electrons (atoms have to be neutral particles). The difference in atomic masses arises from the difference in the number of neutrons in the atomic nucleus.

The presence of which phenomenon proved the predictability of the big bang theory?

Answers

The measurement of the expansion of the universe was what gave rise to the big bang theory and it's predictions. 
Cosmic Microwave Background is the answer.


Which of the following statements describes electric fields?

Electric potentials are caused by electric fields.

Electric fields are scalar values.

Electric charges produce electric fields.

Electric fields cannot exist in space.

Answers

C)Electric Charges Produce Electric Fields

The correct answer is

Electric charges produce electric fields.


In fact, electric fields are produced by electric charges. For instance, the electric field produced by a single-point charge is radial, and its intensity decreases as the inverse of the square of the distance from the charge, according to:

[tex] E=k\frac{q}{r^2} [/tex]

where k is the Coulomb's constant, q is the magnitude of the charge and r is the distance from the charge. If the charge is positive, the electric field points away from the charge; if the charge is negative, the electric field points toward the charge.

Suppose you put in 100 j of work on a lever and get out 93 j of work. what is the efficiency of the lever and how much of the work input is lost as heat in joules?

Answers

I think the answer will be 7% or 7J. not sure :-)
                                                                                                

The efficiency of the lever is 93%, calculated by comparing the output work to the input work. 7 joules of the input work are lost as heat.

The efficiency of the lever is determined by comparing the output work to the input work. In this case, the efficiency can be calculated using the formula:

Efficiency = (Output Work / Input Work) X 100%

Substituting the given values:

Efficiency = (93 J / 100 J) X 100%

Efficiency = 93%

The amount of work lost as heat is the difference between the input work and the output work, which can be calculated as:

Heat lost = Input Work - Output Work

Heat lost = 100 J - 93 J

Heat lost = 7 J

Therefore, 7 joules of the work input are lost as heat.

What dies the viscosity of a liquid measure? the relationship between density and speed of flow how rapidly its volume changes with increasing temperature the ration of silica to iron content within a magma the resistance of a liquid to flow?

Answers

The correct answer is:  [D]:  "the resistance of a liquid to flow" .
__________________________________________________________

What is the approximate percentage change in the Earth-Sun distance between June 21 and December 21?

Answers

For the purpose of the exercise, we can assume that the Earth is at perihelion (closest point to the Sun) on December 21st (in reality, it happens around January 4th) and that the Earth is at aphelion (farthest point from the Sun) on June 21st (in reality, this happens around July 4th). The distance Earth-Sun is the following:
- Perihelion: 147.1 milion km
- Aphelion: 152.1 milion km
- Average distance: 149.6 milion km
So, we can calculate the percentage change with respect to the average distance as:
[tex]d= \frac{d(aphelion)-d(perihelion)}{d(average)}\cdot 100= \frac{152.1-147.1}{149.6}\cdot 100=3.3 \% [/tex]

Your weight depends on
A. your mass
B. your distance to the center of the Earth
C. the earth's mass
D. A, B, and C
E. none

Answers

D.

Your weight depends on your mass, gravitational pull, and the Earth's mass

Hope this helps

HELP PLEAASE!!!You push against a steamer trunk with a force of 750 N at an angle of 25° with the horizontal . The trunk is on a flat floor and the coefficient of static friction between the trunk and floor is 0.77. What is the most massive trunk you will be able to move? 80 kg 90 kg 67 kg

Answers

your answer is m = 59 kg

The most massive trunk you will be able to move is approximately [tex]\( 69.2 \, \text{kg} \)[/tex]. So, the closest option is 67 kg.

To find the maximum mass of the trunk you can move, we need to consider the maximum force of static friction that can be exerted by the floor on the trunk. The maximum force of static friction[tex](\( F_{\text{friction}} \))[/tex] can be calculated using the formula:

[tex]\[ F_{\text{friction}} = \mu_s \times N \][/tex]

Where:

-[tex]\( \mu_s \)[/tex] is the coefficient of static friction,

- [tex]\( N \)[/tex] is the normal force exerted by the floor on the trunk.

The normal force[tex](\( N \))[/tex] can be calculated as the vertical component of the force you exert on the trunk:

[tex]\[ N = F_{\text{vertical}} = F \times \cos(\theta) \][/tex]

Where:

-  F  is the force you exert on the trunk (750 N in this case),

- [tex]\( \theta \)\\[/tex] is the angle of the force with the horizontal (25° in this case).

Substituting the given values:

[tex]\[ N = 750 \, \text{N} \times \cos(25^\circ) \]\[ N \approx 750 \, \text{N} \times 0.906 \]\[ N \approx 679.5 \, \text{N} \][/tex]

Now, we can calculate the maximum mass m  of the trunk using the formula:

[tex]\[ F_{\text{friction}} = m \times g \][/tex]

Where:

- m  is the mass of the trunk,

-  g  is the acceleration due to gravity (approximately  [tex]\( 9.81 \, \text{m/s}^2 \)).[/tex]

Substituting the given values:

[tex]\[ 679.5 \, \text{N} = m \times 9.81 \, \text{m/s}^2 \]\[ m = \frac{679.5 \, \text{N}}{9.81 \, \text{m/s}^2} \]\[ m \approx 69.2 \, \text{kg} \][/tex]

Therefore, the most massive trunk you will be able to move is approximately [tex]\( 69.2 \, \text{kg} \)[/tex]. So, the closest option is 67 kg.

what quantity is multiplied by the hydraulic lift system of a dump truck?
A.force
B.speed
C.pressure
D.distance

Answers

A. Force
Hope this helps!!

The picture is a model of a nitrogen atom. What is incorrect about the atomic orbital arrangement of electrons in this model and how should they be arranged?

Answers

Answer: the picture does not represent the electron in the orbitals but the electrons in the principal energy levels.

Explanation:


I managed to find the picture with the model referred on your question.

To figure out what is wrong with the orbital arrangement you must do the electron distribuition for the nitrogen atom.

That starts with the atomic number. The atomic number for nitrogen is 7, that means that it has 7 protons and 7 electrons.

Orbitals only deal with electrons. So, you need to focus on the electrons and their distribution.

The electron distribution for 7 electrons is: 1s^2 2s^2 2p^3.

That means that two electrons are on the orbital 1s, two electrons are on the orbital 2s, two electrons are in one orbital 2p and one electron is in other orbital 2p (remember that there are three 2p orbitals, 2px, 2py and 2pz).Those are four orbitals, but the picture shows only two levels (circles around the nucleus).

The levels shown on the model of the picture do not represent orbitals but levels of principal energy ( the principal quantum number). So, the two electrons on the smaller circle are the electrons 1s^2, and the 5 electrons on the larger circle are the electrons on 2s^2 and 2p^3.

Then, what is wrong is that the picture does not represent the orbitals (which are 4, the 1s, the 2s and two 2p) but the principal energy levels (wich are two the number 1 and the number 2).


The image shows a pendulum that is released from rest at point A. Shari tells her friend that no energy transformation occurs as the pendulum swings between point B and point D.



What is the best response that Shari’s friend could make?

She could agree with Shari because the pendulum is at the same height and would have the same gravitational potential energy at both positions.

She could agree with Shari because the pendulum has the same amount of mechanical energy throughout its swing.

She could disagree with Shari because the pendulum converts kinetic energy into gravitational potential energy, then back into kinetic energy.

She could disagree with Shari because the pendulum converts gravitational potential energy into kinetic energy, then back into gravitational potential energy.

Answers

is  D    the  right  answer

Answer:

She could disagree with Shari because the pendulum converts gravitational potential energy into kinetic energy, then back into gravitational potential energy.

Explanation:

The energy of the pendulum is constantly converted from gravitational potential to kinetic, and back.

In fact:

- the gravitational potential energy of the pendulum is given by:

[tex]U=mgh[/tex]

where m is the mass of the pendulum, g is the gravitational acceleration, and h is the height of the pendulum above the ground

- The kinetic energy of the pendulum is given by:

[tex]K=\frac{1}{2}mv^2[/tex]

where v is the speed of the pendulum.

Therefore, when it is at a higher position, the pendulum has a greater potential energy, while when it is at a lower position, the pendulum has a greater kinetic energy (because its speed is higher).

In this example:

- when the pendulum swings from B to C, part of its gravitational potential energy is converted into kinetic energy (because the height decreases but the speed increases), and when the pendulum goes from C to D, the kinetic energy is converted back into gravitational potential energy (because the height increases and the speed decreases)

An animal keeper is studying X-rays of two animals, as shown. X-rays show the internal structures of an animal.



Which statement is best supported by the X-rays?

Animal Y has an outer skeleton, and animal Z has a spiny covering.
Animal Y has a spiny covering, and animal Z has an outer skeleton.
Animal Y is a vertebrate, and animal Z is an invertebrate.
Animal Y is an invertebrate, and animal Z is a vertebrate.


Answers

Animal Y is an invertebrate, and animal Z is a vertebrate. 

An x-ray can produce images of structures found inside the body. Based on the image, you can see that Animal Z has a backbone, which is a series of small bones called vertebrae that extend from the head. Animal Y does not have that structure. 

Vertebrates are organisms that have a backbone and invertebrates are organisms that lack one. 
Answer:

D: Animal Y is an invertebrate, and animal Z is a vertebrate.

Explanation:

Animal Y is an invertebrate because it does not have a spine, and animal Z is a vertebrate because you can see in the X-Ray that it has a spine. Edge2020

Stay safe, good luck!

I need the answers to this please

Answers

Just remember that Isotopes are atoms that have the same number of protons as they do in their neutral state, but have more neutrons. 
Remember this:
Mass number = protons + neutrons
neutrons = mass number - protons
protons = atomic number
electrons = protons

Neutrons and protons are found in the nucleus and the circle around it is an orbit, that is where you put the number of electrons. 

Let's take your first question:
a. Carbon: Atomic number is 6 and the mass number is 12. 

neutrons = 12 -6        (atomic number = protons)
               = 6
So draw 6 neutrons in the nucleus and 6 protons in the middle of the circle. And write 6e electrons outside the circle. 

b. a. Carbon: Atomic number is 6 and the mass number is 13
Here you will see something different:

neutrons = 13 -6        (atomic number = protons)
               = 7 
Notice that the number of neutrons changed. All you do is instead of drawing only 6 neutrons, draw 7 and draw 6 protons. 

The name of the atom is Carbon-13 because the number 13 indicates the mass number.

2. The explanation above will lead to the answers for this question. Let's knock out some of those choices.
Compare the 2 carbon atoms, which changed and what stayed the same. The number of protons stayed the same, and so did the atomic number. What changed was the mass number because the number of neutrons changed so your answer would be the third selection.

3.a. Again, take note of the given:
Chlorine: Atomic number is 17 (that stays constant!) the mass number is 35. Name of the atom is Chlorine-35
Neutrons = 35 - 17      17 is the number of protons which is equal to the 
               = 18               atomic number.
So you will draw 17 protons and 18 protons in the middle of the circle and write 17e outside the circle.

3.b. Name of the atom is Chlorine-37
Chlorine:  Atomic number is 17 (This was given already) and mass number is 37.
REMEMBER atomic number = protons
Neutrons = 37 - 17        
                = 20    

So you will draw 20 neutrons and 17 protons inside the circle and on the line of the circle you will write 17e outside the circle. 

Why is the electrons the same as protons because there is no sign to indicate that the atoms are ions so they are all neutral which means that the number of electrons is equal to number of protons. 

A 3.00 kg cart on a frictionless track is pulled by a string so that it accelerates at 2.00 m/s/s. what is the tension in the string'

PLEASE SHOW YOUR WORK

Answers

The mass is m =  3kg

The acceleration is a =  2m/s/s

Force is equal to mass times acceleration

F = m*a = 3kg*2m/s/s = 6 N

This force is equal to the tension in the string

T = 6 N

Final answer:

The tension in the string pulling the cart, which has a mass of 3.00 kg and is accelerating at 2.00 m/s², is calculated using Newton's second law (F = ma) to be 6.00 N.

Explanation:

The student is asking to calculate the tension in the string that is pulling a 3.00 kg cart, which is accelerating at 2.00 m/s2 on a frictionless track. To find the tension, we can use Newton's second law of motion, which states that the force is equal to mass times acceleration (F = ma).

First, we identify the mass (m) of the cart as 3.00 kg and the acceleration (a) as 2.00 m/s2. The only force acting on the cart in the horizontal direction is the tension in the string since friction is negligible.

So, the tension (T) can be calculated as follows:

T = m × a

T = 3.00 kg × 2.00 m/s2

T = 6.00 N

Therefore, the tension in the string is 6.00 Newtons.

List these drinks in order of kinetic energy, starting with the drink whose particles have the highest kinetic energy.
hot chocolate, water, juice, milk
hot chocolate juice, milk, water
water milk, juice, hot chocolate
water, hot chocolate, juice, milk

Answers

Kinetic energy and heat have a direct relationship with one another. A higher temperature means a higher kinetic energy.

With that said, the answer is B.

Answer: Option (b) is the correct answer.

Explanation:

The energy  obtained by an object because of their motion is known as kinetic energy.

Hence, when particles of an object is moving rapidly from one place to another then it means the molecules have high kinetic energy.

Therefore, in a hot chocolate molecules will have high kinetic energy due to increase in temperature. Whereas particles of juice has more kinetic energy than milk. On the other hand, molecules of water will have least kinetic energy as only then it is existing in liquid state otherwise it would have evaporated.

Thus, we can conclude that drinks in order of decreasing kinetic energy are as follows.

                    hot chocolate > juice > milk > water

       

Which of the following stars is likely to appear the brightest?
The star with the least energy
The most massive star
The farthest star
The coldest star

Answers

Q. Which of the following stars is likely to appear the brightest?

A. The most massive star

The most massive star is likely to appear the brightest. Hence option B is correct.

What is Most massive star ?

The sun may be the most massive object in the solar system, making up 99.8% of the system's total mass, yet compared to other stars, it is actually rather typical. Of all known stars, roughly half are more massive and half are less massive. R136a1, a star that is more than 300 times as massive as the sun, is the most massive star known to exist in the sky. Yet it's not the only star dwarfing the main star of the Earth.

The Tarantula Nebula contains RMC 136a1, more often known as R136a1, which is located around 163,000 light-years from Earth. The Great Magellanic Cloud, one of the Milky Way's satellite galaxies, contains this huge star, which is located outside of our galaxy.

In 1960, astronomers at the Radcliffe Observatory in South Africa discovered the RMC 136 star cluster. More than 200 incredibly brilliant stars were discovered in the cluster when the Hubble Space Telescope analysed the system; the most massive of these stars was known as RMC 136a1.

Hence option B is correct.

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An unfortunate 18 kg monkey falls from a 40 m tall tree. What is the monkeys final velocity just befor he impacts the ground.? a 7063.2 m/s b 784 m/s c 28 m/s d 720 m/s

Answers

The correct answer is c) 28 m/s.
Let's find the step-by-step solution. The motion of the monkey is an uniformly accelerated motion, with acceleration equal to [tex]g=9.81 m/s^2[/tex]. The initial velocity of the monkey is zero, while the distance covered is S=40 m. Therefore, we can use the following relationship to find vf, the final velocity of the monkey:
[tex]2aS=v_f^2-v_i^2=v_f^2[/tex]
from which
[tex]v_f= \sqrt{2aS}= \sqrt{2\cdot 9.81 m/s^2 \cdot 40 m}=28 m/s [/tex]

What important discovery was made by edmond halley and alexis clairaut, using newton's ideas of mathematics and gravity?

Answers

They were able to find the orbit of a comet and predict the year of its return.

Answer:

Comet's orbit.

Explanation:

Edmond Halley and Alexis Clairaut were one of those Newtonian who helped to validate the results of Isaac Newton.

They correctly explained Comet' motion and how planets gravitational force affect them.

But using Newton's idea of Mathematics and Gravity, they have made two important discoveries:

1. Why celestial bodies have different colors.

2. They were able to find the Comet's orbit and prediction(year) of its return.

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