Object X travels across a horizontal surface and collides with object Y. The velocity as a function of time for object X and object Y before, during, and after the
collision is shown in the graph. Both objects have a mass of 2 kg. Which of the following correctly describes the momentum p of the system and the kinetic
energy K of the system?

Object X Travels Across A Horizontal Surface And Collides With Object Y. The Velocity As A Function Of

Answers

Answer 1

Answer:

The correct option is;

(B) [tex]\underset{P}{\rightarrow}[/tex] is conserved, K Not conserved

Explanation:

From the diagram related to the question and from the question, we have;

m₁ = m₂ = 2 kg

v₁ = 4 m/s, v₂ = -2 m/s, v₃ = 1 m/s, therefore, we have;

The total initial momentum of the system = m₁ × v₁ + m₂ × v₂

m₁ (v₁ + v₂) = 2×(4 - 2) = 4 kg·m/s

The total final momentum of the system = m₁ × v₃ + m₂ × v₃ = 2 ×1 +2 ×1  = 4 kg·m/s

Given that the total initial momentum = The total final momentum, we have that the momentum, p, is conserved

The kinetic energy of the system before collision  = 1/2×m₁×v₁² + 1/2×m₂×v₂²

∴ The kinetic energy of the system before collision  = 1/2*2*(4)² + 1/2*2*(-2)² = 20 J

∴ The kinetic energy of the system after collision  = 1/2×m₁×v₃² + 1/2×m₂×v₃²

1/2*2*(1)² + 1/2*2*(1)² = 2 J

The kinetic energy of the system before collision ≠ The kinetic energy of the system after collision

Therefore, the kinetic energy of the system is not conserved.

Answer 2

If the velocities of object X and object Y after collision is the same (inelastic collision), then only momentum is conserved but if the velocities of both objects after collision are different (elastic collision), then both momentum and kinetic energy are conserved.

According to principle of conservation of linear momentum, the total momentum before and after collision is conserved.

For inelastic collision, only momentum is conserved while kinetic energy is not conserved.

[tex]m_1u_1 \ + \ m_2u_2 = v(m_1 + m_2)[/tex]

[tex]\frac{1}{2} m_1u_1^2 \ + \frac{1}{2} m_2u_2^2 = \frac{1}{2}v^2(m_1+m_2)[/tex]

For elastic collision, both momentum and kinetic energy are conserved;

[tex]m_1u_1 \ + \ m_2u_2 =m_1v_1 \ + \ m_2v_2[/tex]

[tex]\frac{1}{2} m_1u_1^2 \ + \frac{1}{2} m_2u_2^2 = \frac{1}{2}m_1v_1^2 \ +\ \frac{1}{2}m_2v_2^2[/tex]

Thus, we can conclude that, if the velocities of object X and object Y after collision is the same (inelastic collision), then only momentum is conserved but if the velocities of both objects after collision are different (elastic collision), then both momentum and kinetic energy are conserved.

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Related Questions

ASAP is the object of soccer ??????

Answers

Soccer is a sport that has offense, people in the middle, and defense. The goal to playing soccer is to get past the defenders by using teamwork and score more goals than the other team to win.

katelyn throws a rock which travels 34 m above her hand before it starts to fall. what is the vertical velocity of the rock when it leaves her hand?

Answers

Answer:

25.8 m/s

Explanation:

Initial Velocity (u) =?

Final velocity before it starts to fall ; v = 0

Distance (S) = 34 meters

Using the relation :

v² = u² + 2aS

a = - 9.8 m/s²

0 = u² + 2(-9.8)(34)

0 = u² - 666.4

u² = 666.4

u = √666.4

u = 25.814724

Hence, vertical velocity when the rock leaves her hand is 25.8 m/s

Electromagnetism consists of what two processes?
o A. An electric current produces a magnetic field.
B. A moving magnet produces an electric current.
O C. Electric charges attract each other.
D. Permanent magnets produce a magnetic field.

Answers

Answer: it’s A and B

Explanation: everyone else on this post was giving you the wrong answer.

An altering magnetic field will cause an altering electric field, and vice versa. Electromagnetic waves are created from these shifting fields. In contrast to mechanical waves, electromagnetic waves can travel without a medium. Thus option A, B is correct.

What are the characteristics of Electromagnetism?

The EM wave's magnetic and electric fields are represented by the vectors E and B, respectively. In the case of electromagnetic waves, E and B are always perpendicular to the direction of propagation and to each other.

An oscillating charge generates an oscillating magnetic field, which in turn generates an oscillating electric field in space. As a result, an electromagnetic wave is created by the oscillating electric and magnetic fields that keep regenerating one another.

Therefore, An electric current produces a magnetic field and A moving magnet produces an electric current.

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If a truck and a bug are both moving, which takes more force to stop?

Answers

Definitely a bug... lol jk a truck would take more force to stop

For part 3 of 3, just enter magnitude (positve number)
A 1933 kg car has a speed of 14 m/s when it hits a tree. The tree doesn’t move and the car comes to rest.

Find the change in kinetic energy of the car. Answer in units of J.
Find the amount of work done by the car as its front is pushed in.
Answer in units of J.

Find the magnitude of the force that pushed the front of the car in by 38 cm.
Answer in units of N.

Answers

Answer:

The change in kinetic energy of the car is -189434 joules.

The work done by the car is 189434 joules.

The magnitude of the force that pushed the front of the car is 498510.526 newtons.

Explanation:

Given that the car is moving on a horizontal ground, by the Principle of Energy Conservation and the Work-Energy Theorem we get the following identity:

[tex]\Delta K+\Delta W = 0[/tex] (1)

Where:

[tex]\Delta K[/tex] - Change in the translational kinetic energy of the car, measured in joules.

[tex]\Delta W[/tex] - Work done by the car, measured in joules.

By applying the defintions of translational kinetic energy and work, we expand and simplify the resulting equation:

[tex]\frac{1}{2}\cdot m \cdot (v_{f}^{2}-v_{o}^{2})+F\cdot \Delta s = 0[/tex] (2)

Where:

[tex]m[/tex] - Mass, measured in kilograms.

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speeds of the car, measured in meters per second.

[tex]F[/tex] - Force exerted by the car, measured in newtons.

[tex]\Delta s[/tex] - Travelled distance of the front of the car, measured in meters.

The change in the kinetic energy of the car and the work done by the car are, respectively: [tex](v_{o} = 14\,\frac{m}{s}, v_{f}= 0\,\frac{m}{s}, m = 1933\,kg, \Delta s = 0.38\,m)[/tex]

Translational kinetic energy

[tex]\Delta K = \frac{1}{2}\cdot m\cdot (v_{f}^{2}-v_{o}^{2})[/tex]

[tex]\Delta K = \frac{1}{2}\cdot (1933\,kg)\cdot \left[\left(0\,\frac{m}{s} \right)^{2}-\left(14\,\frac{m}{s} \right)^{2}\right][/tex]

[tex]\Delta K = -189434\,J[/tex]

Work done by the car

[tex]\Delta W = -\Delta K[/tex]

[tex]\Delta W = 189434\,J[/tex]

Magnitude of the force

[tex]F = \frac{\Delta W}{\Delta s}[/tex]

[tex]F = \frac{189434\,J}{0.38\,m}[/tex]

[tex]F = 498510.526\,N[/tex]

The change in kinetic energy of the car is -189434 joules.

The work done by the car is 189434 joules.

The magnitude of the force that pushed the front of the car is 498510.526 newtons.

how much force is needed to accelerate a 20 kg mass at a rate of 4 m/s to the second power?

Answers

Answer:

So 55 Newtons are needed.

Answer:

80 N

Explanation:

mass (m) = 20kg

acceleration (a) = 4m/s^2

Force (F) = ?

.°. F = ma

= 20 × 4 = 80

.°. F = 80 N

Thus, The Force is needed to accelerate a 20 kg mass at a rate of 4 m/s^2 is 80 N

-TheUnknownScientist

You drop a stone down off a bridge. You are able to count to 4.0 seconds when it finally hits the water. How high is the bridge?​

Answers

Answer:

The height of the bridge is 78.4 m.

Explanation:

Given;

time of the stone motion off the bridge, t = 4.0 s

acceleration due to gravity, g = 9.8 m/s²

The height of the bridge is given by;

h = ut + ¹/₂gt²

where;

u is the initial velocity of the stone, u = 0

h = ¹/₂gt²

h = ¹/₂(9.8)(4)²

h = 78.4 m

Therefore, the height of the bridge is 78.4 m.

What is the maximum speed when the conditions are mass =450 kg, initial height= 30 m, and the roller coaster is initially at rest?

A. 30 m/s
B. 24.2 m/s
C. 93.9 m/s
D. 132, 300 m/s

Answers

Answer:

B. 24.2 m/s

Explanation:

Given;

mass of the roller coaster, m = 450 kg

height of the roller coaster, h = 30 m

The maximum potential energy of the roller coaster  due to its height is given by;

[tex]P.E_{max} = mgh\\\\PE_{max} = 450 *9.8*30\\\\PE_{max} = 132,300 \ J[/tex]

[tex]P.E_{max} = K.E_{max} \ (law \ of \ conservation\ of \ energy)[/tex]

[tex]K.E_{max} = \frac{1}{2}mv_{max}^2\\\\ v_{max}^2 = \frac{2K.E_{max}}{m}\\\\ v_{max}^2 = \frac{2*132300}{450}\\\\ v_{max}^2 =588\\\\v_{max} = \sqrt{588}\\\\ v_{max} = 24.2 \ m/s[/tex]

Therefore, the maximum speed of the roller coaster is 24.2 m/s.

Answer:

1. 24.2 m/s

2. 20.4 m

3. 22.5 m/s

4. 109,375 J

5. It is easy to calculate new scenarios.

Explanation:

5/5 on the Maximum Energy Quick Check

What kinds of natural phenomena does the inverse-square law apply to?

Answers

Answer:

It applies to diverse phenomena

Explanation:

not sure if u need one, just ask if you do :D

Answer:

Being strictly geometric in its origin, the inverse square law applies to diverse phenomena. Point sources of gravitational force, electric field, light, sound, and radiation obey the inverse square law.

Explanation:

Which part of an object's rate of change best defines acceleration?
A.position
B.speed
C.velocity
D.force

Answers

I believe it is speed.

Hope this helps!

Answer:

Velocity

Explanation: If you are going down hill, (Which is one direction) you will gain more speed by, gravity, friction, and most importantly velocity.

If a pulley system with an ideal mechanical advantage of 2,000,000 is used in lifting a 2,000 lb. car, how far would the car move if the effort moved 2 ft.?

_____ ft.

1 x 10-3
1 x 10-6
1 x 10-9
1 x 10-12

Answers

Answer:

C

Explanation:

Write an example of your own for one of Newton’s Laws. Be sure to state which law it is an example of. please help me

Answers

Answer:

What about Newton's law of gravity.

Explanation:

The one with the apple falling on his head.

Which of the following is a source of thermal energy that is absorbed by Earth's atmosphere?

Answers

Answer:

100% of the energy entering earth's atmosphere comes from the sun. ~50% of the incoming energy is absorbed by the earth's surface i.e. the land and oceans.

why is a pencil bent when bent in water

Answers

Answer:

Refraction

Explanation:

A pencil bends when it enters the water media due to the phenomenon of refraction.

Refraction is one of the properties of waves. Refraction of light occurs which it crosses from a region having different density values. Water is denser than air. As light moves from air to wave it becomes refracted

During take-off a 5kg model rocket, initially at rest, burns fuel for 4.6s causing its speed to increase from rest to 39m/s during this time despite experiencing a 60N drag.

Answers

Answer:

The height is "89.61 m". A further explanation is given below.

Explanation:

According to the question,

Mass of rocket,

m = 5 kg

Time,

t = 4.6 s

Initial speed of rod

u = o m/s

Final speed,

v = 39 m/s

drag,

= 60 N

So,

⇒ acceleration, [tex]a=\frac{v-u}{t}[/tex]

                              [tex]=\frac{39-0}{4.6}[/tex]

                              [tex]= 8.478 \ m/s^2[/tex]

⇒ [tex]F_{net}= Net \ force[/tex]

           [tex]=ma[/tex]

           [tex]=5\times 8.478[/tex]

           [tex]=42.89 \ N[/tex]

Now,

The thrust will be:

⇒ [tex]Thrust-weight-drag=Net \ force[/tex]

⇒ [tex]Thrust-(5\times 9.8)-60=42.89[/tex]

⇒           [tex]Thrust-49-60=42.89[/tex]

⇒                 [tex]Thrust-109=42.89[/tex]

⇒                           [tex]Thrust=42.89+109[/tex]

⇒                           [tex]Thrust=151.89 \ N[/tex]

The height will be:

⇒ [tex]h=\frac{1}{2} at^2[/tex]

      [tex]=\frac{1}{2}\times 8.47\times (4.6)^2[/tex]

      [tex]=\frac{1}{2}\times 8.47\times 21.16[/tex]

      [tex]=89.61 \ m[/tex]

Choose the pair of elements that will most likely have the greatest ionic character.

a. K and N
b. K and S
c. N and Br
d. S and Br

Answers

Answer:

K and N

Explanation:

Ionic character depends on the electronegativity difference between the bonding elements. The greatest the elctronegativity diffference the greatest the ionic character. The electronegativity difference between K and N is the greatest among the four options as N is one of the most electronegative elements.

During a medieval siege of a castle, the attacking army uses a trebuchet to heavy stones at the castle the trebuchet launches the stones with a velocity of + 48.5 m/s at an angle of 42.0 degrees how long does take the stone to hit the ground? For those settings, what is the maximum How high will the stones go Show all your work

Answers

Answer:

Explanation:

The question relates to time of flight of a projectile .

Time of flight = 2 u sinθ / g

u is speed of projectile , θ is angle of projectile

= 2 x 48.5 sin42 / 9.8

= 6.6 seconds  .

Maximum height attained

= u² sin²θ / g

= 48.5² sin²42 / 9.8

= 107.47 m .

______ are NOT a source of arsenic in the environment. *
Pesticides
Rocks that naturally contain the element
Weed killers
Old water pipes

What policy change was based on the results of the students’ water-testing project? *
The U.S. Environmental Protection Agency established a national limit for arsenic in drinking water.
The national limit for arsenic in drinking water was lowered to 5 parts per billion (ppb).
The national limit for arsenic in drinking water was increased to 10 ppb.
New Hampshire’s limit for arsenic in drinking water was lowered from 10 ppb to 5 ppb.

Damage to the body’s _______ system can affect brain development, learning, and memory. *
cardiovascular
muscular
endocrine
nervous
4. The element arsenic is a ______. *
metalloid
metal
nonmetal
noble gas
5. Explain how the characteristics of arsenic can make it difficult to know whether a well is contaminated. *

Answers

Answer:

A

C

D

A

Explanation:

______ are NOT a source of arsenic in the environment.

A. Pesticides

The policy change which was based on the results of the students’ water-testing project is:

C. The national limit for arsenic in drinking water was increased to 10 ppb.

Damage to the body’s _______ system can affect brain development, learning, and memory. *

D. Nervous

The element arsenic is a ______. *

A.Metalloid

Pesticides are those chemicals which are used particularly in killing pests such as harmful insects which cause a nuisance to the environment.

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As your roller coaster climbs to the top of the steepest hill on its track, when does the first car
have the greatest potential energy?

Answers

Right when it’s about to go down and stopped.

A man has been guarding a house for one hour . Why is it not considered work in science

Answers

Answer: because there is no displacement or movement in the watchman's work. according to science when displacement or movement take place it is said to be work. hope this helps you.

A car has positive acceleration. What information can you infer from this?

The car is changing direction.
The car is speeding up in the same direction as it is traveling.
The car is slowing down and changing the direction it is traveling.
The car is slowing down.

Answers

Answer: B: The car is speeding up in the same direction as it is traveling.

Explanation:

I took the test and got it right

Question 7 of 10 A strong magnet is used to separate certain items from other recyclables Which two items found in recyclables would be attracted to the magnet? O A. Cardboard boxes o B. Iron cooking pans O c. Glass mixing bowls O D. Flexible refrigerator magnets ​

Answers

Answer:

D. Flexible refrigerator magnets

B. Iron cooking pans

The strong magnet can attract other magnetic materials from the mixture. They are iron cooking pans and  flexible refrigerator magnets. Hence, options B and D are correct.

What are magnetic materials ?

Magnetic materials are those having a permanent magnetic dipoles and produces strong magnetic field. Permanent magnets are ferromagnetic in nature. Their magnetic dipoles align along with the applied magnetic field.

A magnetic material can attract other magnet through their opposite poles in contact. Therefore, magnetic materials such as iron, nickel, etc.can be attracted by a bar magnet.

Here, the  flexible refrigerator magnets and the iron cooking pans would be attracted to the strong magnet and they can be separated from the other recyclable materials.

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The law of conservation of momentum states that momentum is conserved. This means that if the initial momentum of a system is 50 kg m/s, and
none of the kinetic energy is transformed to any other form, then the final momentum will be
kg m/s.

Answers

Answer:

50kgm/s

Explanation:

From the law of conservation of momentum, a system that starts with an initial momentum of 50kgm/s will end up with a momentum of 50kgm/s in its final state.

The law of conservation of momentum states that "in an isolated system, momentum is neither created nor destroyed but transformed from one form to another". From this law, the starting and ending momentum must be the same.

Which of the following represents the Law of Conservation of Mass?
(look at picture)​

Answers

Answer:

the first one

Explanation:

because each one has a blue in it

Option A represents the Law of Conservation of Mass. Therefore, the correct option is A.

A key idea in chemistry is the law of conservation of mass, sometimes referred to as the law of conservation of mass or the law of conservation of matter. According to this, the total masses of reactants and products involved in a chemical reaction in a closed system are the same.

Since atoms are neither created nor destroyed during a chemical reaction, this law states that matter is conserved throughout the process. The atoms in the reactants rearrange their bonds to form new compounds known as products, but the total amount and types of atoms are left unchanged.

Therefore, the correct option is A.

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What are earth's three main layers? *

O Core, mantle, and surface

O Core, mantle, and crust

O Inner core, outer core, and mantle

O Upper mantle, lower mantle, and crust

Answers

Answer:

inner core ,outer core,and mantle

which activity performed by a medical professional is primarily based on understanding of physics?

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

Blood pressure monitor testing patients blood pressures and levels

A skateboarder starting from rest accelerates down a ramp at 2 m/s for 2 s. What is the final speed of the skateboarder?

Answers

Answer: 4m/s

Explanation:

Speed = distance/time.

= 2/2 = 1 m/s

What is speed ?

"Speed is defined as the distance travelled by a body per unit time." Its SI unit is m/s.

The distance covered by an object in unit time. In other words, the rate at which the object is moving is called speed

What is distance ?

"Distance is the actual path length traveled by an object in the given interval of time during the motion. It is a positive scalar quantity."

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The components of a 10.8-meters-per-second velocity at an angle of 34.° above the horizontal are

9.0 m/s vertical and 6.0 m/s horizontal

13 m/s vertical and 7.5 m/s horizontal

7.5 m/s vertical and 13 m/s horizontal

6.0 m/s vertical and 9.0 m/s horizontal

Answers

Answer:

6.0 m/s vertical and 9.0 m/s horizontal

Explanation:

For the vertical component, we use the formula:

Sin(34°) = y / 10.8

Then we solve for y:

0.559 = y / 10.8y = 6.0

And for the horizontal component, we use the formula:

Cos(34°) = x / 10.8

Then we solve for x:

0.829 = x / 10.8y = 9.0

So the answer is " 6.0 m/s vertical and 9.0 m/s horizontal".

which of the following is a correct example of an action reaction pair?

A. You push the ball with your foot and the ball pushes the air.

B. When you jump, you push down on the ground and the ground pushes up on you.

C. A swimmer pushes the water with his legs and pulls the water with his arms.

D. The tires on a car push against the road and the front of the car pishes against the wind.​

Answers

Answer:

its either d or a

Explanation:

imma say d looks pretty right though

Q #3: You are on the International Space Station (in space) and working on the outside of the Space Station. Your rope holding you to the Space Station snaps and you start to float away. What will happen to you according to Newton's First Law? *

A. You will continue to float away until you suddenly come to a stop.
B. You will continue to float away until you slow down eventually.
C. You will continue to float away at the same speed and in the same direction forever unless an unbalanced force acts on you.

Answers

i think it’s c
i am not sure
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