One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 25 m/s. The masses of the two objects are 3.0 and 8.0 kg. Determine the final speed of the two-object system after the collision for the case when the large-mass object is the one moving initially and the case when the small-mass object is the one moving initially.

Answers

Answer 1

Large object moving, small object at rest:

v = 18.18m/s

Small object moving, large object rest:

v= 6.81m/s

Explanation:

p = mv

m1•Vi1 + m2•Vi2 = m1•Vf1 + m2•Vf2

First Scenario (large object moving):

For small object,

p=mv

p= 3kg • 0 = 0

For large object,

p= mv

p= 8kg • 25m/s = 200kg•m/s

Combined,

p1+p2 (small object + large object) = 200m/s

After the collision, there is one mass,

new mass is 8kg + 3kg = 11kg

So now , p = mv again. In this case

200m/s = (11kg)•v

v = (200kg•m/s)/(11kg) = 18.18 m/s

Second Scenario (small object moving):

p1v1 = 3kg•25m/s = 75kg•m/s

p2v2 = 8kg•0 = 0

p1v1 + p2v2 = 75kg•m/s

New mass = 8kg+ 3kg = 11kg

p = mv

75kg•m/s = 11kg•v

v = (75kg•m/s)/11kg = 6.81m/s


Related Questions

A long solenoid that has 920 turns uniformly distributed over a length of 0.380 m produces a magnetic field of magnitude 1.00 10-4 T at its center. What current is required in the windings for that to occur?

Answers

Answer: 0.0328 A

Explanation:

Given

No of turns [tex]N=920[/tex]

Length of solenoid [tex]L=0.380\ m[/tex]

Magnetic field [tex]B=10^{-4}\ T[/tex]

the magnetic field at the center of the solenoid is

[tex]\Rightarrow B=\mu nI=\mu \dfrac{N}{L}I[/tex]

Putting values we get

[tex]\Rightarrow 10^{-4}=4\pi \times 10^{-7}\times \dfrac{920}{0.380}\times I\\\\\Rightarrow I=\dfrac{0.380\times 1000}{920\times 4\pi}=0.0328\ A[/tex]

What are the independent and dependent variables in a circuit?

Answers

Answer:

Ideal independent sources can be batteries, DC generators or time-varying AC voltage supplies from alternators.

current dependable

Explanation:

Independent voltage sources supply a constant voltage that does not depend on any other quantity within the circuit. Dependent Variable is the voltage V. Control Variables are the material, length, cross section area and temperature of the wire.

Help please ASAP ONLY 1 question

Answers

C!! A brick to a house

A student has two identical sheets of paper. He crumples one up into a small ball. If he drops the sheet of paper and the ball of paper off a building at the same time, which of the following statements describes the result?
A. The sheet of paper because it is more affected by gravity.
B. The ball of paper hits the ground first because it is more affected by gravity
C. The sheet of paper and the ball of paper hit the ground at the same time.
D. The ball of paper hits the ground first because it has less surface area.​

Answers

Answer:

B

Explanation:

basically, because the ball "weighs" more now, it will hit the ground quicker. so technically gravity is more affective towards it. the piece of paper kind of floats it's way down. gravity isn't pushing on one force more, but because because the ball weighs more, it technically would be said so. hope this helps!

Answer:

the ball of paper, because it has less surface area.

Explanation:

How much work (MJ) must a car produce to drive 125 miles if an average force of 306 N must be maintained to overcome friction?

Answers

Answer:

The right solution is "61.557 MJ". A further explanation is given below.

Explanation:

The given values are:

Force,

F = 306 N

Drive,

D = 125 miles,

i.e.,

  = 201168

meters

As we know,

The work done will be:

= [tex]F\times S[/tex]

On substituting the given values, we get

= [tex]306\times 201168[/tex]

= [tex]61557408 \ J[/tex]

On converting it in "MJ", we get

= [tex]61.557\times 10^6 \ J[/tex]

= [tex]61.557 \ MJ[/tex]

The oxygen side of a water molecule is

Answers

The answer is Slightly negative

WILL GIVE BRAINLIST QUICK!!! How does biodiversity support different varieties of species? (please put short answer)

Answers

Biodiversity boosts ecosystem productivity where each species, no matter how small, all have an important role to play.A larger number of plant species means a greater variety of crops. Greater species diversity ensures natural sustainability for all life forms.

describe what form of electromagnetic radiation does a radio use?

Answers

Radio waves are a type of electromagnetic (EM) radiation with wavelengths in the electromagnetic spectrum longer than infrared light. They have have frequencies from 300 GHz to as low as 3 kHz, and corresponding wavelengths from 1 millimeter to 100 kilometers.

Rutherford tracked the motion of tiny, positively charged particles shot through a thin sheet of gold foil. Some particles traveled in a straight line and some were deflected at different angles.

Answers

The question is incomplete, the complete question is;

Rutherford tracked the motion of tiny, positively charged particles shot through a thin sheet of gold foil. Some particles traveled in a straight line and some were deflected at different angles. Which statement best describes what Rutherford concluded from the motion of the particles? Some particles traveled through empty spaces between atoms and some particles were deflected by electrons. Some particles traveled through empty parts of the atom and some particles were deflected by electrons. Some particles traveled through empty spaces between atoms and some particles were deflected by small areas of high-density positive charge in atoms. Some particles traveled through empty parts of the atom and some particles were deflected by small areas of high-density positive charge in atoms.

Answer:

Some particles traveled through empty parts of the atom and some particles were deflected by small areas of high-density positive charge in atoms.

Explanation:

Rutherford first proposed the nuclear model of the atom after his landmark experiment.

In this experiment, alpha particles from a source was focused on a thin gold foil. Some of the particles passed through empty spaces within the atom but were deflected at different angles by a small area of high-density positive charge within an atom which Rutherford later called the atomic nucleus.

Hence the answer above.

Explain what ionisation is and why it is dangerous

Answers

Ionisation: the loss or gain of an electron

It is dangerous because cells that have been ionised can either die, or can mutate incorrectly, which might cause cancer.

The current of a circuit with a 3.0-volt battery and 1.0 ohm of resistance is __ amps

Answers

Answer:

3 amps

Explanation:

V = IR

I = [tex]\frac{V}{R}[/tex]

I =[tex]\frac{3}{1}[/tex]

I = 3 amps

A trampoline spring has a force constant k = 800 N/m and is stretched exactly 17.5cm. What is the energy required to do this?

Answers

Answer:

the energy required for the extension is 12.25 J

Explanation:

Given;

force constant of trampoline spring, k = 800 N/m

extension of trampoline spring, x = 17.5 cm = 0.175 m

The energy required for the extension is calculated as;

E = ¹/₂kx²

E = 0.5 x 800 x 0.175²

E = 12.25 J

Therefore, the energy required for the extension is 12.25 J

A circus performer wants to land in a net 5 meters to the right of where she will let go of the trapeze. If she is 10 meters above the net, how fast must she be moving horizontally when she lets go? Round your final answer to three significant figures.

Answers

Answer:

Assuming no air friction,

the time it takes to fall 10 m = t = √2h/g = √(20/9.8) = 1.43 s

horizontal distance = 5 m

horizontal speed = distance/time = 5/1.43 = 3.5 m/s  ANS

Explanation:

i hope this helps!

Giving brainliest!! if you answer correctly :) (30pts)

Answers

Answer:

option A 4kg is your answer

Explanation:

given

mass(m)=?

velocity (v)=5m/s

we have

kinetic energy =50J

1/2 ×{m×v²)=50

m×5²=50×2

m=100/25=4 kg

A child squeezes a pillow over his ears during and thunderstorm. Which wave interaction helps decrease the sound of the thunder?

Answers

Answer:

Absorption

Explanation:

A hot air balloon traveled 4 hours at a speed of 200 km/hr. What distance did it travel?

Answers

Distance = speed * time
4 hours * 200 km/hour
200 km to miles: 124.274
4 * 124.274 = 497.096 miles

Describe 3 physical properties of this object (color, state of matter, shape, size, hardness, etc)

Answers

Answer: The color is orange, the state of matter is liquid

Explanation:

the color is orange, the shape is a cylinder, it is a liquid

which type of thermometer is used to measure the temperature of a very hot object and why?​

Answers

Answer:

Pyrometer, device for measuring relatively high temperatures, such as are encountered in furnaces. Most pyrometers work by measuring radiation from the body whose temperature is to be measured. Radiation devices have the advantage of not having to touch the material being measured.

Explanation:

the speed of an electric locomotive is 90kmh .express this speed in m/s with method​

Answers

Answer:

24.3 m/s

Explanation:

1 kmh = 0.27 m/s, that makes a conversion ratio of 0.27/1kmh

[tex]\frac{90 kmh}{1}[/tex] x [tex]\frac{0.27 m/s}{1 kmh}[/tex]

The "kmh" n the top and bottom cancel out. And  then you just multiply the top 90 x 0.27 and the bottom 1 x 1 to get

[tex]\frac{24.3 m/s}{1}[/tex]

and since its over 1 its just 24.3 m/s

What are 4 physical properties for the bear

Answers

Answer:

A bear normally has a short, thick neck, a rounded head, a pointed muzzle, short ears, and small eyes. Some species have round faces. Bears have poor eyesight, and most have only fair hearing.

Explanation:

Modern Bears are characterized with large body and stocky legs, a long snout, shaggy hair, plantigrade paws with five non-retractile claws and a short tail.

Grizzly bears (Ursus arctos horribilis) have concave faces, a distinctive hump on their shoulders, and long claws about two to four inches long. Both the hump and the claws are traits associated with a grizzly bear's exceptional digging ability. Grizzlies are often dark brown, but can vary from blonde to nearly black.

The brown bear has a slight hump above its shoulder, round ears, a long snout and big paws with long, curved claws that it uses for digging. Unlike the black bear, it can't climb trees. It can weigh between 350-1,500 pounds. When standing on its hind legs it can be up to 5 feet tall.

Hope this helps     :)

(I didn't know which type of bear so i did brown bear and grizzly bear)

For two vectors A and B.A+B =A-B, if and only if??​

Answers

Answer:

[tex]\vec{A} + \vec{B} = \vec{A} - \vec{B}[/tex] if and only if [tex]\vec{B}[/tex] is a zero vector.

Explanation:

An equation is true if and only if adding the same value to both sides of the equation (the value needs to be compatible) gives an equation that is also true.

Start with the [tex]\vec{A} + \vec{B} = \vec{A} - \vec{B}[/tex].

This equation is true if and only if [tex]\left(\vec{A} + \vec{B}\right) + \vec{B} = \left(\vec{A} - \vec{B}\right) + \vec{B}[/tex] ([tex]\vec{B}[/tex] is added to both sides of the original equation.)

Vector addition and subtraction are associative. Therefore, [tex]\left(\vec{A} + \vec{B}\right) + \vec{B} = \left(\vec{A} - \vec{B}\right) + \vec{B}[/tex] if and only if [tex]\vec{A} + \left(\vec{B} + \vec{B}\right) = \vec{A} + \left(- \vec{B} + \vec{B}\right)[/tex], which is equivalent to [tex]\vec{A} + 2\, \vec{B} = \vec{A}[/tex].

[tex]\vec{A} + 2\, \vec{B} = \vec{A}[/tex] if and only if [tex]\left(-\vec{A}\right) + \vec{A} + 2\, \vec{B} = \left(-\vec{A}\right) + \vec{A}[/tex] ([tex]\left(-\vec{A}\right)[/tex]is added to both sides of this equation,) which is equivalent to [tex]2\, \vec{B} = \vec{0}[/tex].

[tex]2\, \vec{B} = \vec{0}[/tex] if and only [tex]\displaystyle \frac{1}{2} \cdot \left(2\, \vec{B}\right) = \frac{1}{2} \cdot \vec{0}[/tex], which is equivalent to [tex]\vec{B} = \vec{0}[/tex]. That is: [tex]\vec{B}[/tex] is the zero vector.

In other words:

[tex]\begin{aligned}& \vec{A} + \vec{B} = \vec{A} - \vec{B}\\ &\iff \left( \vec{A} + \vec{B}\right) + \vec{B} = \left(\vec{A} - \vec{B}\right) + \vec{B} \\ &\iff \vec{A} + \left(\vec{B} + \vec{B}\right) = \vec{A} + \left(- \vec{B} + \vec{B}\right) \\ & \iff \vec{A} + 2\, \vec{B} = \vec{A} \\ & \iff \left(-\vec{A}\right) + \vec{A} + 2\, \vec{B} = \left(-\vec{A}\right) + \vec{A} \\ &\iff 2\, \vec{B} = \vec{0} \\ &\iff \frac{1}{2} \cdot 2\,\vec{B} = \frac{1}{2} \cdot \vec{0} \\ &\iff \vec{B} = \vec{0}\end{aligned}[/tex].

Hence, [tex]\vec{A} + \vec{B} = \vec{A} - \vec{B}[/tex] if and only if [tex]\vec{B}[/tex] is the zero vector.

What is the equivalent resistance of the circuit?

Answers

Answer:

Option D. 5.45 Ω

Explanation:

From the question given above, the following data were obtained:

Resistance 1 (R₁) = 10 Ω

Resistance 2 (R₂) = 20 Ω

Resistance 3 (R₃) = 30 Ω

Voltage (V) = 120 V

Equivalent resistance (R) =?

The equivalent resistance can be obtained as follow:

1/R = 1/R₁ + 1/R₂ + 1/R₃

1/R = 1/10 + 1/20 + 1/30

Find the least common multiple (lcm) of 10, 20 and 30. The result is 60

Divide 60 by each of the denominators and multiply by their numerators respectively. We have:

1/R = (6 + 3 + 2)/60

1/R = 11/60

Invert

R = 60/11

R = 5.45 Ω

Thus, the equivalent resistance in the circuit is 5.45 Ω

4-08 t 1 - / S P = 1 / P = S 1 S= P Def. of Speed​

Answers

Answer:

what do I answer? not enough information

PLEASEHELP THANK YOU SM

Answers

Answer:

I belive it would be the first answer choice.

Explanation:

When the Mass is lower, the ball moves faster so it would have more kintetic energy

yeah the answer would be the first one :)

A car starts at 25 m/s and then slows down at 13 m/s in 5 seconds. What is the acceleration of the car? What does the acceleration indicate?

Answers

Answer:

a=2.4m/s^2

Explanation:

Use V=vi+at

So, 13=25+a5

13-25=a5

[tex]\frac{-12}{5}[/tex]=a

a=2.4m/s^2

Which two planets have the closest average temperature?

Answers

Answer: The planets that have the closest average temperature is

1.) Mercury which is 800 degrees Fahrenheit

2.) Venus which is about 880 degrees Fahrenheit

Hope this helps :)

The planets Mercury and Venus has the closest average temperature

What are Planets?

A planet is an astronomical object that orbits a star or stellar remnant that is large enough to be rounded by gravity, but not so large as to trigger thermonuclear fusion, and that is free of planetesimals in its locality

Planets are generally divided into two main types: large, low-density gas giants and smaller, rocky terrestrials.

In order of increasing distance from the Sun, they are the four terrestrials, Mercury, Venus, Earth, and Mars, then the four gas giants, Jupiter, Saturn, Uranus, and Neptune

Given data ,

Let the first planet be represented as A

Let the second planet be represented as B

Now , the planets A and B have similar average temperature

where , the planets can have negative as well has very high temperatures

Now , when A = Mercury and B = Venus

Venus has 864 degrees Fahrenheit (462 degrees Celsius)

And , Mercury has 800 degrees Fahrenheit (430 degrees Celsius)

So , both Venus and Mercury has similar temperatures

Now , when A = Neptune and B = Uranus

Neptune has minus 353 degrees Fahrenheit (minus 214 degrees Celsius)

Uranus has minus 374 degrees Fahrenheit (minus 224 degrees Celsius)

So , both Neptune and Uranus has similar temperatures

Hence , the planets are Venus and Mercury

To learn more about planets click :

https://brainly.com/question/29765555

#SPJ6

PLEASE HELPP I NEED TO PASS THIS !!

Answers

Option D is correct.

What is the weight of an astronaut with a mass of 75 kg on the moon? The gravitational field strength on the moon is 1.6 Nkg-1.

Answers

okay this is kinda easy

What is the gravitational field strength on the moon?

The Moon has a gravitational field strength of 1.6 N/kg.

Having some trouble with this one :/

An object has a kinetic energy of 50 J and a velocity of 5 m/s, what is the mass of the object?

Answers

Answer:

Mass, M = 4 kilograms.

Explanation:

Given the following data;

Kinetic energy = 50 J

Velocity = 5 m/s

To find the mass of the object;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Making mass the subject formula;

[tex] M = \frac{2K.E}{V^{2}}[/tex]

Substituting into the equation, we have;

[tex] M = \frac{2*50}{5^{2}}[/tex]

[tex] M = \frac{100}{25}[/tex]

Mass, M = 4 kg

An observer in the Northern Hemisphere watches the sky for several hours. Due to the motion of Earth, this observer notices that the stars near the north celestial pole appear to move An observer in the Northern Hemisphere watches the sky for several hours. Due to the motion of Earth, this observer notices that the stars near the north celestial pole appear to move from left to right. nearly vertically upward. counter-clockwise around the celestial pole. from right to left.

Answers

Answer:

counter clockwise

Explanation:

The observer in the Northern Hemisphere will notice that the stars near the NCP to move counter-clockwise

Counter - clockwise : The observer will observe this because the earth movement when viewed from the North pole is in a counterclockwise direction, hence the stars will appear to move in an ant-clockwise direction

Other Questions
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!! PLEASE HELP Many plants have the ability to respond to herbivores. Some plants produce substanceswhich are distasteful or toxic in response to an herbivore attack. Which of these is the LEAST correction description of the plant system interactions involved?A. Carbon dioxide diffuses through stoma into leaf tissues, where it is fixed into organic compoundswhich may serve as building blocks for chemical defenses.B. Root systems obtain water and key minerals from the soil where they are transported to the affected site.C. Shoot systems carry carbon dioxide, water and nutrients from leaves directly to the affectedplant part, where chemical defense molecules are produced.D. Chemicals found in a herbivore's saliva trigger chemical messengers which trigger production ofdefense molecules what is introduction??? If 263 ml of a gas is collected at 47c and 2.77 atm, what will the final temp be in C if the volume decreases to 195 mL and the pressure increases to 3.87 atm?im stoopid so yeh pls help Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3/10 of it while painting a clover. She decides that, for her next painting, she will need 14 pints of green paint. How much more paint will she need to buy? Youve probably heard police officers on television repeat the same line every single time they arrest someone: You have the right to remain silent. Have you ever wondered why they always say this? As it turns out, all police officers in the country are required by law to say these words, which are called Miranda Rights. They are named after a famous court case from 1966, Miranda v. Arizona.THE CASEIn 1966, an Arizona man named Ernesto Miranda was accused of kidnapping and assaulting a teenage girl. After a few hours of questioning, he confessed his guilt to a police officer. Later, during his trial, the prosecution used his confession as evidence to convict him. When the court did find him guilty, his lawyers appealed the case.The case went all the way to the Supreme Court. The case related to the Constitution, because the 5th Amendment to the Constitution gives everyone the right to stay quiet when they are asked to confess a crime. Mirandas lawyers argued that Miranda did not know about this right, and therefore his testimony could not count as evidence in the trial.THE RESULTSince Miranda did not know about his 5th Amendment rights, his confession could not be used against him, and the Supreme Court ruled in his favor. The official court decision was over 60 pages long, but Chief Justice Earl Warren read the whole thing out loud for the court. It had two parts:First, after the police arrest someone, they have to tell that person that they have the right to remain silent, just as it is stated in the 5th Amendment.Second, the police also have to tell that person they have the right to use a lawyer in the trial and any time prior to that, and that if they cannot afford a lawyer, the government will provide them with one. These rights are both found in the 6th Amendment.This is why you always hear police officers reciting these important rights whenever they arrest someone. They are called Miranda Rights today, named after Ernesto Miranda himself.MIRANDA RIGHTS TODAYThe basic wording might sound familiar. You have the right to remain silent. Anything you say can and will be used against you in a court of law. You have the right to an attorney. If you cannot afford an attorney, one will be appointed to you. Do you understand these rights as I have read them to you? However, there are actually over 945 versions of the Miranda Rights! Every state and county can have its own wording.Not only that, but the Miranda Rights also have to be translated into many different languages, in case the police arrest someone who does not speak English. There are also simplified versions, because it is important for minors and the mentally disabled or mentally ill to understand their rights as well.As it turns out, even 945 versions are not enough to make sure everyone understands what their rights really are. Some researchers have analyzed the wording of Miranda Rights from all over the country, and most versions are too complex for everyone to understand. Some are so complex, they are at the same reading level as a college accounting textbook!It is extremely important that everyone can understand their right to remain silent and their right to be represented by a lawyer. The law says that, in order to use a suspects own confession against him, the court has to prove that the police read them their rights, they completely understood their rights, and that they chose to ignore those rights intentionally. The Constitution gave us these rights for a reason; make sure you understand them!PART A: What does the word convict most closely mean as it is used in paragraph 2?A. A person who has committed a crimeB. Deceiving someone as a legal tacticC. To take someone to courtD. To find guilty of a crime transmutation occurs during which type of radioactive decay I really need help will give extra points!!!How can you impact foreign policy as a citizen based on what we learned in this lesson? (2-3 Sentences) Solve for r:r over 8.45 = 15.21. r = 128.442. r = 23.653. r = 1.79 The diagram below shows two carts filled with different amounts of groceries:Which of these statements is true about the carts shown in the diagram? The diagonals in a kite __________. a) bisect each other b) are perpendicular c) are congruent 4. What percent of all computers sold during the entire weekwere sold on Friday! 4. While cleaning your bedroom, you move your mattress to vacuum underneath your bed. You use a force of 48 N to move the mattress 1.5 meters out of the way. How much work was done? Solve the system using elimination. 4y+x= -17 -2y+2x =16 Which of these best describes the process by which these organismsobtain energy ? If x = 0, what is f(x)? I Need helpppppppppppppppppppppppppppppp please solve the questions All of the cells have__________ DNA A. Identical B. Different witch one means to have to? tener quetoner razntoner lugartoner sed