Mass m, moving at speed 2v, approaches mass 4m, moving at speed v. The two collide elastically head-on. Find the subsequent speed of mass, m and 4m.

Answers

Answer 1
Refer to the figure shown below.

Let
v₁ and v₂ = velocities of masses m₁, m₂ after the collision, respectively.

Note:
In an elastic collision, both momentum and kinetic energy are conserved.

For conservation of momentum,
m(2v) + 4m(v) = m(v₁) + 4m(v₂)
6v = v₁ + 4v₂               (1)

For conservation of kinetic energy,
(1/2)m(2v)² + (1/2)4m(v²) = (1/2)m(v₁²) + (1/2)4m(v₂²)
8v² = v₁² + 4v₂²          (2)

Substitute (1) into (2).
8v² = (6v - 4v₂)² + 4v₂²
       = 36v² - 48 v₂v + 16v₂² + 4v₂²
20v₂² - 48v v₂ + 28v² = 0
v₂² - 2.4v v₂ + 1.4v² = 0
v₂ = 0.5[2.4v +/- v√(0.16)]
v₂ = 1.6v, or 0.8v
Correspondingly,
v₁ = -0.4v, or 2.8v

If KE were not conserved, the mass m should rebound with negative velocity.
Furthermore, it is unlikely that mass 4m would attain a velocity of 2.8v.
Therefore the acceptable solution is
v₁ = -0.4v and v₂ = 1.6v

Answer:
After the collision,
The mass m has velocity of -0.4v,
The mass 4m has velocity of 1.6v.
Mass M, Moving At Speed 2v, Approaches Mass 4m, Moving At Speed V. The Two Collide Elastically Head-on.
Answer 2
First mass (M1)= m, speed (V1) =2v Second mass(M2)= 4m, speed(V2)= v PRINCIPLE OF CONSERVATION OF MOMENTUM SAYS M1*V1+M2*V2= M1*V1f +M2*V2f where f = final speed finally speed is assumed same, therefore V1f=V2f =Vf m*2v +4m*v = (m+4m)Vf 6vm = Vf(5m) dividing both sides by 5m 6/5v=Vf 1.2v=Vf = final speed

Related Questions

Can someone help me please

Answers

Breaking a pencil
shredding paper
chopping wood
melting an ice cube

Which sphere forms Earth's outermost layer?

Atmosphere
Biosphere
Cryosphere
Hydrosphere

Answers

Answer:

The Atmosphere

Explanation:

The Solar System is made up of eight planets, numerous comets, asteroids, and moons, and the Sun. The force that holds all of these objects together is _______.
A.
magnetism
B.
tension
C.
electromagnetic attraction
D.
gravity

Answers

Your Question:
The Solar System is made up of eight planets, numerous comets, asteroids, and moons, and the Sun. The force that holds all of these objects together is _______.
A.
magnetism
B.
tension
C.
electromagnetic attraction
D.
gravity
Our Teams Answer:

the force is gravity holding them


Our Teams aim's to please and We are happy to help! Its the answer is wrong please notify us quickly for we can fix it quickly! Thanks :)

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the answer is gravity :)


Use the diagram to answer the question.

Number of Chirps per Minute
Cricket 15 ° C 20 ° C 25 ° C
1 91 135 180
2 80 124 169
3 89 130 176
4 78 125 158
5 77 121 157
Average 83 127 168

Which statement indicates a reasonable conclusion based on the data from this experiment?


Decreasing the number of chirps causes the temperature to drop.

Cricket chirping increases with an increase in temperature.

Decreasing the temperature increases the number of chirps.

Temperature can be increased by increasing the number of chirps.

Answers

Cricket chirping increases with an increase temperature.

the higher the temperature the higher the chirping

Answer: Cricket chirping increases with an increase in temperature.

Explanation:

The independent variable in the experiment is the variable which can be altered, manipulated and changed so as to determine it's influence over the dependent variable, which is the outcome of the experiment.

Here in the given experiment, the number of chirps is the dependent variable which is increasing due to the increase in the temperature which is the independent variable.

Which of the following forces is responsible for keeping the planets in orbit around the Sun?
A.
magnetism
B.
electromagnetic force
C.
gravity
D.
friction

Answers

C gravity. If it has mass, it has gravity.
According to my calculations it’s c gravity lol

PLEASE HELP QUICK I WILL GIVE BRAINLIEST AnswerTwo descriptions about physical quantities are given below: Quantity A: It is unaffected by the location of an object in space. Quantity B: It can be measured in kilograms. What quantities are these most likely describing? Both Quantity A and Quantity B are mass. Both Quantity A and Quantity B are weight. Quantity A is weight and Quantity B is mass. Quantity A is mass and Quantity B is weight.

Answers

both are quantities of mass
They are both quantities of mass

Which statements describe physical weathering? Select all that apply.

A. Two rocks hit against each other in a fast-flowing stream and break apart.
B. Oxygen and water change the compostion of the minerals in a rock
C. Small rocks are pushed together when a mole digs an underground den
D. Mosses grow on a rock and produce acids that wear away the rock over time.

Answers

Two rocks hit against each other in a fast-flowing stream and break apart. Mosses grow on a rock and produce acids that wear away the rock over time. These statements describe physical weathering. Therefore, option A and D are correct.

What is physical weathering ?

Physical weathering, often known as mechanical weathering, is the process that fractures rocks without altering their chemical makeup. The following instances show physical weathering: water moving quickly. For brief periods of time, swiftly rushing water has the ability to raise rocks out of the streambed.

Rocks break down into tiny fragments due to abrasive weathering processes like wind and water. Exfoliation weathering rocks shatter and expand as pressure from unloading is relieved. As water freezes and expands, frost-wedging rocks crack.

When a rock is subjected to physical processes like temperature changes or exposure to the effects of wind, rain, and waves, physical weathering takes place.

Thus, option A and D are correct.

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Final answer:

Statements A and C describe physical weathering, which involves the purely physical breakdown of rocks, such as through collision in a stream or animal activity, without altering their chemical composition.

Explanation:

The question asks which statements describe physical weathering. Physical weathering, or mechanical weathering, involves the breakdown of rocks into smaller pieces without changing their chemical composition. Examples of physical weathering include the expansion and contraction of rocks due to temperature changes, the abrasive action of water or wind, and biological factors like plant roots breaking rocks apart.

A. Two rocks hit against each other in a fast-flowing stream and break apart.

C. Small rocks are pushed together when a mole digs an underground den.

Statement A is an example of physical weathering because it describes the physical action of rocks breaking apart due to collision in a stream. Statement C also illustrates physical weathering, showing how animal activity can physically move and potentially break rocks. In contrast, statements B and D describe chemical weathering, which involves the chemical alteration of rocks, such as mineral changes through oxidation or the action of acids.

how is interia related to Newton's first law of motion

Answers

Inertia and Mass. Newton's first law of motion states that "An object at rest stays at rest and an object in motion stays in motion with the same speed and in the samedirection unless acted upon by an unbalanced force." Objects tend to "keep on doing what they're doing."

Final answer:

Inertia is the property of an object to maintain its state of motion or rest unless acted upon by a net external force, as described by Newton's first law of motion. This law, also known as the law of inertia, indicates that an object will continue in its state of constant velocity unless a force causes a change.

Explanation:

How is Inertia Related to Newton's First Law of Motion?:

Inertia is directly related to Newton's first law of motion, often referred to as the law of inertia. Newton's first law states that a body at rest remains at rest, and a body in motion remains in motion at a constant velocity unless acted upon by a net external force. This tendency of an object to resist changes in its state of motion or rest is known as inertia. Essentially, inertia is the reason why an object remains at rest or carries on moving at the same speed in a straight line unless a net force acts upon it.

Newton's laws are fundamental in the study of motion under the influence of forces, particularly in inertial frames of reference. Forces, which are described by Newton's laws, are always vectors with both magnitude and direction, and arise from interactions among objects. Newton's first law serves as a definition of an inertial frame of reference, and thus, any frame where the law is valid is considered inertial.

What is the relationship between height and gpe

Answers

Final answer:

The relationship between height and gravitational potential energy is directly proportional, following the equation G.P.E. = mgh. GPE increases as the height of an object increases, and it is measured in Joules, reflecting the energy due to the object's position above a reference level.

Explanation:

The relationship between height (h) and gravitational potential energy (GPE) is directly proportional. This means, as an object is raised to a higher elevation above the ground, its GPE increases. The formula for calculating GPE is G.P.E. = mgh, where m represents the mass of the object in kilograms, g is the acceleration due to gravity (approximately 10 m/s² on Earth's surface), and h is the height in meters. The unit of GPE is Joules, which quantifies the energy associated with the object's position in the gravitational field.

In physics, only the change in GPE (ΔGPE) is of significance, which is measured as the difference in energy when an object's height changes relative to a reference level. For instance, if a 0.500-kg mass from a cuckoo clock is lifted by 1.00 m, its GPE changes by mgh. The concept of GPE is vital in various applications, including understanding how energy is conserved within systems influenced by gravitational forces.

If you opened the valve on a bicycle tire, what would happen to the air inside of the tire? Why do you think that would happen. I need a full explanation in the science version.

Answers

due to the air being compressed in a small space the air is pressurized and when the valve is open it causes a loss in pressure making the air gush out.

If you opened the valve on a bicycle tire, the air inside of the tire will come out and the pressure it exert will be less.

Why does the air filled in a bicycle to keep it tight?

When air is pumped into a bicycle tube, the tube gets inflated due to the air pressure exerted by the collisions of gas molecules in air with the inner walls of the rubber tube. This air pressure makes the tyres feel hard.

What causes air pressure to decrease in tires?

When the temperature cools down, the air within the tire shrinks. In the same way, when the temperature rises, the air within the tire expands.

Due to the air being compressed in a small space, the air is pressurized and when the valve is open it causes a loss in pressure making the air gush out.

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a continental-continental plate collision causes what to form

Answers

When 2 continental plates collide it forms mountains... 

the state of matter that can change shape but not volume is
a. gas
b. liquid
c. solid
d. plasma

Answers

the answer is b liquid
I believe the answer is B. Liquid

Hope this helps :)

A stopped car reaches 60 meters per second in 12 seconds. What is the acceleration?

Answers

The acceleration would be 5 because 12 divided by 60 equals 5

an object falls from a high building and hits the ground in 9.0 seconds. ignoring air resistance, what is the distance that it fell

Answers

The object fell a distance of 396.9 meters before hitting the ground.

To calculate the distance an object falls in a given time ignoring air resistance, we use the formula for the distance covered under constant acceleration: d =  rac{1}{2} g t^2, where d is the distance, g is the acceleration due to gravity (

9.8 m/s2), and t is the time in seconds. Substituting the given time of 9.0 seconds into the equation, the distance is calculated as d =  rac{1}{2}  imes 9.8  imes 9.0^2, which equals 396.9 meters. This equation is derived from basic kinematic principles that govern the motion of objects in free fall, assuming gravity is the only force acting on the object.

A satellite with a mass of 290 kg moves in a circular orbit 3.00 107 m above the Earth's surface. What is the speed of the satellite if the force on the satellite is 87.4 N?

Answers

The speed of the satellite is approximately [tex]\(3311 \, \text{m/s}\)[/tex] when the force acting on it is 87.4 N.

The gravitational force [tex](\(F_{\text{gravity}}\))[/tex] acting on the satellite is given by [tex]\(F_{\text{gravity}} = \frac{GMm}{r^2}\)[/tex], where [tex]\(G\)[/tex] is the gravitational constant, [tex]\(M\)[/tex] is the mass of the Earth, [tex]\(m\)[/tex] is the mass of the satellite, and [tex]\(r\)[/tex] is the distance from the center of the Earth to the satellite.

The centripetal force [tex](\(F_{\text{centripetal}}\))[/tex] required for circular motion is [tex]\(F_{\text{centripetal}} = \frac{m v^2}{r}\)[/tex], where [tex]\(v\)[/tex] is the speed of the satellite.

In a circular orbit, the gravitational force provides the centripetal force, so [tex]\(F_{\text{gravity}} = F_{\text{centripetal}}\)[/tex]:

[tex]\[\frac{GMm}{r^2} = \frac{m v^2}{r}\][/tex]

Solve for \(v\):

[tex]\[v = \sqrt{\frac{GM}{r}}\][/tex]

Now, substitute the given values:

[tex]\[v = \sqrt{\frac{(6.67 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2) \times (5.97 \times 10^{24} \, \text{kg})}{(3.00 \times 10^7 \, \text{m} + 6.37 \times 10^6 \, \text{m})}}\][/tex]

Calculating the expression to find the speed of the satellite. I'll do the math for you.

[tex]\[v = \sqrt{\frac{(6.67 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2) \times (5.97 \times 10^{24} \, \text{kg})}{(3.00 \times 10^7 \, \text{m} + 6.37 \times 10^6 \, \text{m})}}\][/tex]

[tex]\[v = \sqrt{\frac{(6.67 \times 10^{-11} \times 5.97 \times 10^{24})}{(3.00 \times 10^7 + 6.37 \times 10^6)}}\][/tex]

[tex]\[v = \sqrt{\frac{3.9879 \times 10^{14}}{3.637 \times 10^7}}\][/tex]

[tex]\[v \approx \sqrt{1.097 \times 10^7}\][/tex]

[tex]\[v \approx 3311 \, \text{m/s}\][/tex]

Therefore, the speed of the satellite is approximately [tex]\(3311 \, \text{m/s}\)[/tex] when the force acting on it is 87.4 N.

carbon burns with oxygen to produce carbon dioxide gas. which of these shows the correct chemical reaction?
A. C + O = CO2
B. C + O2 ------> CO2
C. C, O, CO2
D. CO2 = C + O

Answers

B

Chemical equations always have an arrow

Answer:

B. C + O2 ------> CO2

Explanation:

i took the test

IM LITERALLY CRYING CUZ I DONT KNOWTHIS AND IM SO FUSTRATED SO PLZ HELP I BEG OF U
On Earth, Yancy hits a golf ball as hard as he can. The golf ball flies 150 meters before hitting the ground. About how far would the golf ball fly if Yancy hit it on the surface of Mercury with exactly the same amount of force and in the same direction?

(Ignore the air resistance on both planets.)
A.
less than 150 meters
B.
more than 150 meters
C.
150 meters
D.
150 yards

Answers

Answer:

B.  

more than 150 meters

Explanation:

As we know that the range of projectile motion on the surface of earth is given by the formula

[tex]R = \frac{v^2sin(2\theta)}{g}[/tex]

so here on the surface of earth the gravity is given as g = 9.8 m/s/s

now if the golf ball is hit on the surface of earth then it range is given as R = 150 m

while if we hit the ball at surface of mercury then on the surface of mercury the gravity will be g = 3.7 m/s/s

so due to decrease in the magnitude of gravity the range on the surface of mercury will be more than 150 m

Answer:

B. More that 150 meters.

Explanation:

:)

If this experiment is repeated at a place 10 kilometers above the sea-level, the acceleration due to gravity g (exp) is expected to:
a. increase.
b. decrease.
c. remain constant.

Answers

The correct answer is B) Decrease. Hope this helps.
Final answer:

The acceleration due to gravity, or g (exp), will decrease if the experiment is conducted 10 kilometers above sea level. This is because the force of gravity reduces as you move further from the Earth's surface.

Explanation:

The acceleration due to gravity, or g (exp), is expected to decrease if the experiment is repeated at a place 10 kilometers above the sea-level. This is because the force of gravity decreases as the distance from the center of the Earth increases.

Essentially, the further you move away from the Earth's surface, the weaker the gravitational force gets. This is due to the fact that gravity is dependent on distance. So, being 10 kilometers above sea level would result in a slightly lower acceleration due to gravity.

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What is the unit of measure for density?

Answers

(any unit of mass) divided by (any unit of volume) is a unit of density.
A few that are widely used are (gram/cm^3) , (kg/m^3) , and (lb-mass/ft^3) .

Answer:

g/cm^3

Explanation:

grams is the unit of mass and cm cubed is the unit of volume.

the equation for density is mass over volume (d=m/v)

The electrons that produce the picture in a
TV set are accelerated by a very large electric
force as they pass through a small region in
the neck of the picture tube. This region is
1.6 cm in length, and the electrons enter with
a speed of 1 × 10^5 m/s and leave with a speed
of 2.5 × 10^6 m/s.
What is their acceleration over this 1.6 cm
length?
Answer in units of m/s^2

.

Answers

Given:
u = 10⁵ m/s, the entrance velocity
v = 2.5 x 10⁶ m/s, the exit velocity
s = 1.6 cm = 0.016 m, distance traveled

Let a = the acceleration.
Then
u² + 2as = v²
(10⁵ m/s)² + 2*(a m/s²)*(0.016 m) = (2.5 x 10⁶ m/s)²
0.032a = 6.25 x 10¹² - 10¹⁰ = 6.24 x 10¹²
a = 1.95 x 10¹⁴ m/s²

Answer: 1.95 x 10¹⁴ m/s²

Explain one way the water cycle affects climate. Use 3-4 Sentences to explain. (Complete sentences)

Answers

well it can determine the amount of precipitation and rainfall as well as the amount of snow.

Answer:

The water cycle will affect the climate by causing rain and snow.

Explanation:

if temperatures increase more rainfall will occur because more water evaporates in the air.

your shopping cart has a mass of 65 kilograms. in order to accelerate the shopping cart down an aisle at 0.3 m/sec squared , what force would you need to use or apply to the cart

Answers

Assuming there is no friction between the floor and the shopping cart we can solve for the force by using F=m*a. 
With this F=65*(.3) which gives is the force to be 19.5N

A quarterback takes the football from the line of scrimmage and runs backward for 15 meters, he then runs sideways parallel to the line of scrimmage for 12 meters. At this point he throws the ball 50 meters perpendicular to the line of scrimmage where it is caught by the receiver. How far is the football from its original position?

Answers

A quarterback ... runs backward for 15 meters,

=> displacement vector = -15 j

he ... runs sideways parallel to the line of scrimmage for 12 meters.

=> displacement vector = 12 i

 he throws the ball 50 meters perpendicular to the line of scrimmage

=> displacement vector = 50j

where it is caught by the receiver.

=> net displacement = -15j + 12i + 50j = 12i + 35j

How far is the football from its original position?

distance ^2 = (12m)^2 + (35m)^2 = 1,369 m^2

=> distance = √ (1,369m^2) = 37 m^2

Answer: 37 m^2
65 meters from the original position

-Speed -Mass -Acceleration -Force


A (blank) is a push or pull between objects

Answers

Force is your answer.

Two objects of the same mass are in a room. At which of the following distances will the greatest gravitational force be exerted by one object on another?

2 m
4 m
6 m
8 m

Answers

Answer:

2 m

Explanation:

Because there will be the greatest amount of force when they are closest together.

The distance at which the greatest gravitational force is exerted by one object on another if Two objects of the same mass are in a room should have the shortest distance, so option A is correct.

What is the gravitation force?

The universal force of attraction operating on all matter is known as gravity, usually spelled gravitation, in mechanics. The weakest known force in nature, it is by far and does not influence how everyday matter's internal properties are determined.

Measurements of gravity around the Earth, other planets, and the Moon, as well as experiments on the nature of gravitation, have greatly improved as a result of the launch of spacecraft and the research that has resulted from it.

The formula for the gravitational force is inversely proportional to the square of the distance between two objects,

Thus, to get the maximum gravitational force, the mass is to be at the lowest separation.

Therefore, the distance at which the greatest gravitational force be exerted by one object on another if Two objects of the same mass are in a room should have the shortest distance.

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An object is dropped from a platform 100 feet high. Ignoring wind resistance, what will its speed be when it reaches the ground?
Please explain.
_____ ft/s

6400
2000
80.
44

Answers

Answer:

80 ft/s

Explanation:

Use III equation of motion

V^2 = U^2 + 2g h

Here, U = 0, g = 32 ft/s^2, h = 100 ft

V^2 = 0 + 2 × 32 ×100

V^2 = 6400

V = 80 ft/s

Scientific experiments are specially designed to test explanations for an observed phenomenon. A student decides to conduct an experiment to determine the effect that the amount of time spent in the sunlight has on the overall growth of a plant. The student will conduct the experiment using two identical plants that will only spend different amounts of time in the sunlight. All other aspects needed for growth will remain identical for each. In the experiment described, what would the amount of water given to each plant be considered? a. an observation b. a dependent variable c. an independent variable d. a control or constant

Answers

Answer:

D. a control or constant

Explanation:

Just took it

The amount of water given to each plant would be considered an independent variable. Therefore option C is correct.

An independent variable is a factor that the researcher deliberately manipulates or changes in an experiment to observe its effect on the dependent variable.

In this case, the independent variable is the amount of time spent in the sunlight. The researcher intentionally varies the exposure to sunlight between the two plants.

Therefore, the amount of water given to each plant is a control or constant, while the amount of time spent in the sunlight is the independent variable in this experiment.

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(5th grade work) why Is light refracted as it travel from one transparent medium to another

Answers

The bending occurs because light travels more slowly in a denser medium.

The fish shown above is the anglerfish. The stalk in front of its eyes is a flashing light that it uses to lure prey near its mouth. This is because the biome that it lives in is very dark. Where are anglerfish likely to be found?
A) an estuary
B) a freshwater lake
C) the abyssal zone of the ocean
D) the pelagic zone of the ocean

Answers

Anglers live at the bottom of the ocean so it'd be C.

The right option is; C) the abyssal zone of the ocean

The anglerfish are likely to be found in the abyssal zone of the ocean.  

The abyssal zone is the bottomless layer of the pelagic zone of the ocean that has the bathyal zone located on it.  The abyssal zone is at depths of 4,000 to 6,000 metres, and it remains permanently in darkness. This zone is a food limited environment because it lacks nutrients. The temperature of the zone is around 2 to 3 °C and has continuous cold.



_____ is the total kinetic energy of particles in an object.

Answers

Thermal energy (or thermal kinetic energy)  is the total kinetic energy of particles in an object

hope this helps
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Asian american families are more likely to adopt the practice of ________, which means each member of a family owes respect to other family members. The three interior angle measures of this triangle are x = , y = , and z = . A ball is thrown in the air at an angle of 40. If the maximum height it reaches is 10m , what must be its initial speed? The trojan war was fought between the minoans and the dorians about 1200 b.c. * a. True b. False Obtaining commitment from _____ is critical for diversity programs to succeed so that other parties in the organization will take it seriously. You observe large ( >10 micrometer) oval cells in a sputum sample from a patient. your culture of the sample reveals fuzzy filamentous colonies. you conclude that __________. you contaminated the sample the patient has an infection caused by a dimorphic fungus the patient has an infection with unusual algae the patient has a yeast infection the patient has a protozoan infection Male drivers between the age of 16 and 20 with a BAL of _______________ are 52 times more likely to die is a single vehicle crash than a sober driver of the same age. Buddhism is more concerned with human experience than with the realm of the gods. a. True b. False Describe the relationship that exist between a Dutch and the American Indians living in the North America Why might scientists who study changes of state build models showing the arrangement of particles in a substance? What point was Equiano trying to make by including details about life in Africa Other than the weather what force wears down the new rock formed by the magma from Kilauea How can demobilization present a threat to the honor and welfare of the soldiers of the army? One's atman is continually entrapped in the world of maya by reincarnation Is it possible for a linear function and an exponential funtion to have the indicated number of intersection? Constructed Response 1: A student thinks that the sum of 4.3 and 8.4 is 12.7 because 4 + 8 = 12 and 3 + 4 = 7. The student then adds 3.6 and 2.7 and gets 5.13 because 3 + 2 = 5 and 6 + 7 = 13. Identify the mistake in the students procedure and explain why this procedure wont always work. Sharon is twice as old as brian, and in 5 years the sum of their ages will be 25 years. find their present ages. Notebooks costs 1.20 each. This weekend they will be on sale for $0.80. What percentage is the sale What is most often given a value of 0 to describe an object's position on a straight line? Displacement Reference Distance Ending location For most social scientists, the most significant aspect of race is its _____. Steam Workshop Downloader