In a totally inelastic collision between two equal masses, with one initially at rest, what fraction of the initial kinetic energy is lost

Answers

Answer 1

Answer:

50%

Explanation:

Assuming no external forces acting during the collision, total momentum must be conserved.As one of the mass was initially at rest, the initial momentum can be written as follows:

       [tex]p_{o} = m* v_{1o} (1)[/tex]

If the collision is totally inelastic, both masses must move as one after the collision, so we can write the following equation:[tex]p_{f} = (m+m)* v_{f} = 2*m*v_{f}[/tex] (2)As po = pf, we can solve for vf  in terms of v1o, as follows:

       [tex]v_{f} =\frac{v_{1o}}{2}[/tex]

The initial kinetic energy will be:

       [tex]K_{1o} =\frac{1}{2} * m *v_{1o}^{2} (1)[/tex]

The final kinetic energy of both masses will be as follows:

       [tex]K_{f} =\frac{1}{2} * 2*m *(\frac{v_{1o}}{2}) ^{2} (2)[/tex]

Rearranging in (2) we get:

       [tex]K_{f} =\frac{1}{2} *m *v_{1o} ^{2} *\frac{1}{2} = \frac{K_{1o} }{2}[/tex]

So, the fraction of the initial kinetic energy lost is just the half of the initial value.

Related Questions

A plane drops a package for delivery. The plane is flying horizontally at
a speed of 110 m/s, and the package travels 550 m horizontally during
the drop. We can ignore air resistance. What is the packages vertical
displacement during the drop?

Answers

Answer:

122.5m.

Explanation:

I think it's right..

Which two types of waves require matter in order to travel A:light waves B:sound waves C:electromagnetic waves D:Water waves

Answers

Answer:

Sound Waves

Light Waves

Explanation:

The image below shows the processes of mitosis and meiosis.


How do the products of mitosis compare to the products of meiosis?

A.
The cells from mitosis are identical to each other and to the parent cell, but the cells from meiosis are not identical to each other or the parent cell.
B.
The cells from mitosis are a requirement of sexual reproduction, but the cells from meiosis are a requirement of asexual reproduction.
C.
Mitosis produces sperm and egg cells, but meiosis produces body cells, like skin and muscle.
D.
Mitosis produces cells with half the chromosomes of the parent cell, but meiosis produces cells with the same chromosomes as the parent cell.

Answers

Answer:

It’s D

Explanation:

The cells from mitosis are identical to each other and to the parent cell, but the cells from meiosis are not identical to each other or the parent cell. Hence, option (A) is correct.

What are  mitosis and meiosis?

Chromosome replication and equitable distribution between the two daughter cells occur during the cell division process known as mitosis. Each daughter cell has the same number of chromosomes as the parent cell, making them diploid. Thus, mitosis is sometimes referred to as equational division.

Meiosis is a type of cell division that describes how germ cells divide, resulting in the fission of two nuclei. The two nuclear fissions, known as meiosis 1 and meiosis 2, result in the formation of four sex cells known as gametes. The number of chromosomes in each sex cell is divided in half from that of the parent cell. This type of cell division happens during reproduction when one cell divides into four haploid daughter cells. The nucleus divides into four daughter cells, or nuclei.

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17
Drag the tiles to the correct boxes to complete the pairs.
Match each interaction with its example.
commensalism
mutualism
parasitism
competition
Giardia lamblia, a microorganism, invades the cells of the small intestine in humans,
absorbs nutrients, and causes diarrhea in its host.
Ants protect aphids from their predators, ladybugs, in return for honeydew.
Two species of grass in an ecosystem require water and the same nutrients.
A barnacle attaches to a whale for transport, but does not affect the whale.
Reset
Next

Answers

Answer:

Giardia lamblia, a microorganism, invades the cells of the small intestine in humans,

absorbs nutrients, and causes diarrhea in its host is an example of parasitism

Explanation:

Ants protect aphids from their predators, ladybugs, in return for honeydew.is an example of mutualism

Two species of grass in an ecosystem require water and the same nutrients is an example of competition

A barnacle attaches to a whale for transport, but does not affect the whale is an example of commensalism.

Interactions or relationships between organisms can occur where one or both organisms derive benefits from each other.

What are ecological relationships?

Ecological relationships are relationships between two or more organisms on how they obtain their food as well as other requirements for survival.

Some feeding relationships include:

commensalismmutualismparasitismcompetition

Examples of the relationships above are:

Parasitusm- Giardia lamblia, a microorganism, invades the cells of the small intestine in humans, absorbs nutrients, and causes diarrhea in its host.Mutualism - Ants protect aphids from their predators, ladybugs, in return for honeydew.Competituon - Two species of grass in an ecosystem require water and the same nutrients.Commensalism- barnacle attaches to a whale for transport, but does not affect the whale.

Therefore, relationships between organisms can occur where one or both organisms derive benefits from each other.

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The effect wind has on an airplane can be modeled by using a wind tunnel. What is one limitation of this model

Answers

Answer:

The limitations of this this model is the amount of wind being blown to effect the airplane.

Answer:  Highly skilled workers are necessary to run the wind tunnel.

Explanation: I took the quiz on A pex.

Which direction is the force of gravity on earth

Answers

The force of gravity on earth is towards the center of it
In the downward direction

Answer:

It is toward the center

Explanation:

HURRY PLS 30 MINS LEFT

A ball is rolling across the floor so that it is traveling along the positive x axis at 5.00 m/s. Due to the bend of the carpet fibers it experiences an acceleration of 1.25 m/s2 at an angle of -125.0o from the x axis.


A. What is the x component of the acceleration?


B. What is the y component of the acceleration?


C. What is the x component of the balls displacement after 3.00s?


D. What is the y component of the balls displacement after 3.00s?


E. What is the displacement of the ball over 3.00s?

Answers

Answer:

A) aₓ = -0.717 m / s² ,  B)  a_{y} = -1.024 m / s², C) x = 11.77 m , D) y = -4.6 m ,

E)  d = 12.64 m

Explanation:

For this exercise we will use trigonometry to decompose the acceleration, we are told that

   a = 1.25 m /s²   with an angle tea = 125º in a clockwise direction

A) cos θ = aₓ / a

       aₓ = a cos θ

       aₓ = 1.25 cos (-125)

       aₓ = -0.717 m / s²

B)  sin θ = [tex]a_{y}[/tex] / a

     a_{y} = a sin θ

     a_{y} = 1.25 sin (-125)

    a_{y} = -1.024 m / s²

C) The displacement component

     x = v₀ₓ t + ½ aₓ t²

let's calculate

      x = 5 3 + ½ (-0.717) 3²

      x = 11.77 m

D) the y component of the displacement

      y = [tex]v_{oy}[/tex] t + ½ [tex]a_{y}[/tex] t²

in this case the initial velocity is zero

      y = 0 + ½ (-1,024) 3²

      y = -4.6 m

E) Let's use the Pythagorean theorem

     d =√ (x² + y²)

     d = √ (11.77² + 4.6²)

     d = 12.64 m

10 points
5). A car accelerates from rest to the speed of 9.6m/s over a distance of
40.5m. Determine the acceleration of the car.

Answers

Explanation:

u=0 m/s

v=9.6 m/s

s= 40.5 m

a=?

V^2=u^2 +2as

9.6^2=0+2×a×40.5

92.16=81a

a=92.16/81

a=1.14m/s^2

An airplane has a maximum airspeed velocity of 140 mph South. If the wind is 60 mph West, what is the resultant velocity (groundspeed) and direction of the airplane?

Answers

Answer:

R∠          is  152,3 ∠ 246,8

Explanation:

We need to add (vectorially)  these two velocities. We can choose the coordinates system just that speed of the airplane is the negative part of the y-axis, and negative region of the x-axis, for wind speed, according to

this, the module of the resultant velocity R is:

R =√ (60)² + (140)²

R = √( 3600) + ( 19600)

R =√ 23200

R = 152,315 mph

The tangent of the angle (α )  between R and the y-axis is:

tan α = 60/140

tan α = 0,4286

From tangent tables, we get arctan 0.4286  

α = 23,2⁰

Then R∠    is  152,3 ∠ 246,8

Answer:

R∠          is  152,3 ∠ 246,8

Which is the correct answer? Please help.

Answers

Answer:

i believe it is c

Explanation:

hope this helps and plz mark brainliest

True or False: a projectile accelerates only in the y (vertical) direction. The "x," or
horizontal acceleration is equal to zero.

Answers

Answer:

True

Explanation:

Assuming no wind resistance, there will be no horizontal acceleration, because there will be no forces acting on it.

what is 25.61 cm to Gm?

Answers

Explanation:

25.61 cm * 1 Gm

100000000000 cm = 2.561e-10 Gm

1 Gm = 10^9 m =10^11 cm

then 10^11 cm = 1Gm

25.61 cm = 25.61 /10^11

=25.61 * 10^-11 Gm

please please please please ​

Answers

Answer:

....................

Answer:

20

Explanation:

40/2.0=20.......

hope it helps

I WILL MARK YOU AS BRAINLIEST IF RIGHT
A 2300 kg bus travels 15 miles in 0.75 hours . What is the average speed of the bus?

Answers

20km/hr

explanation:
15/0.75

Two forces are described below:

Force 1: The squeezing force applied to remove water from a wet cloth
Force 2: The gravitational force exerted by Earth on the moon

Which statement is true about the forces? (3 points)
Both are contact forces.
Both are non-contact forces.
Force 1 is a non-contact force and Force 2 is a contact force.
Force 1 is a contact force and Force 2 is a non-contact force.

Answers

Answer:

its Force 1  is a contact force and Force 2 is a non-contact force.

Explanation:

I took the test!

Answer:

Force 1 is a contact force, Force 2 is a non-contact force :)

Explanation:

Because Force 1 is an object touching something and Force 2 is a force that is not touching something (hope this helps)

What element has similar chemical properties to lodine?*

Answers

Answer:

Iodine is most similar  to the other non- metals in the Halogen Family, such as Fluorine, Chlorine, Bromine, Astatine .

Explanation:

Q.3 There is two conductors A and B of same
material having lengths L and 2L and radii r and
r/2 respectively. What is the ratio of their
resistance?​

Answers

Answer:

resistance = (resistivity.(l/A))

so for the 2 materials we get

r1 = resistivity.(l/r)

r2=resistivity.(2l/(r/2))

so ratio r1/r2=1/4

Explanation:

The resistance is proportional to the length and inversely proportional to the area (which is proportional to the square of the radius). Thus if we are just comparing the two (so the constants will cancel out).

r1 = l/r^2 (r squared).

r2 = (2l)/(1/2r)^2

r2 = 2l/(1/4)r^2

dividing by 1/4 is the same as multiplying to 4, so you are multiplying by 2 and then by 4, thus by 8.

Thus R2 is 8 times more than R1.

PLEASE HELP ASAP
A golf ball is hit horizontally off the edge of a 30 m high cliff and lands
distance of 25 m from the edge of the cliff.

1. What is the initial vertical velocity of the golf ball?

2. At what time did the golf ball hit the ground?

3. What was the initial horizontal velocity of the golf ball?

4. What was the final horizontal velocity of the golf ball?

Answers

Answer:

1. Initial vertical velocity its 0m/s

2. 2.47 seconds

3. 10.12 m/s

4.10.12 m/s

Explanation:

Remember that we have here two parts of a problem, first we know that the ball made a free fall of 30 meters, since the ball was hit horizontally and doesn't state otherwise the vertical velocity is 0. To calculate the time we just use 30 m as our Height and use the formula for vertical distance on free fall:

[tex]H=\frac{g*t^{2} }{2} \\[/tex]

Now we just solve for time:

[tex]t=\sqrt{\frac{2H}{g} }[/tex]

With this we just insert the values we know:

[tex]t=\sqrt{\frac{2H}{g} }\\t=\sqrt{\frac{2*30}{9.81} }\\t=2.47[/tex]

Now we know that the ball was 2.47 seconds in the air, so the ball hti the ground at the second 2.47.

To calculate the velocity of the ball we just need to divide the horizontal distance covered by the time it spent on air:

[tex]v=\frac{d}{t} \\v=\frac{25}{2.47} \\v=10.12[/tex]

The final and initial horizontal velocity of the ball would be the same since nothing states otherwise, of course the hitting of the ground would decrease its velocity but since nothing is said in the problem it is not considered.

1. The initial-vertical velocity of the golf ball is equal to zero because the ball would start its motion from a stationary position (at rest).

2. The time it took the golf ball to hit the ground is 2.47 seconds.

3. The initial-horizontal velocity of the golf ball is 10.12 m/s.

4. The final-horizontal velocity of the golf ball is 10.12 m/s.

Given the following data:

Maximum height = 30 meters.Horizontal distance = 25 meters.

1. The initial-vertical velocity of the golf ball is equal to zero because the ball would start its motion from a stationary position (at rest).

2. To determine the time it took the golf ball to hit the ground:

At maximum height, time is given by the formula:

[tex]Time = \sqrt{\frac{2H}{g} }[/tex]

Where:

g is the acceleration due to gravity.H is the maximum height.

Substituting the given parameters into the formula, we have;

[tex]Time = \sqrt{\frac{2\times 30}{9.8} }\\\\Time = \sqrt{\frac{60}{9.8} }\\\\Time =\sqrt{6.12}[/tex]

Time = 2.47 seconds.

3. To determine the initial-horizontal velocity of the golf ball:

[tex]Horizontal\;velocity = \frac{Horizontal\;distance}{Time} \\\\Horizontal\;velocity = \frac{25}{2.47}[/tex]

Initial horizontal velocity = 10.12 m/s.

4. To determine the final-horizontal velocity of the golf ball:

The initial-horizontal velocity and final-horizontal velocity of the golf ball would be the same.

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Consider the head-on collision between a nitrogen molecule, mass 28u and a water molecule mass 18u. Prior to the collision, the nitrogen molecule is moving with velocity 0.4390 km/s and the water molecule is moving with velocity -0.7690 km/s. Positive velocities indicate a molecule moving to the right and a negative velocities indicate a molecule moving to the left. Immediately after the collision, the velocity of the water molecule is v = 0.7016 km/s. The atomic mass unit (u) is commonly used to indicate the mass of atoms and molecules: 1u=1.66×10-27kg. What is the velocity of the nitrogen molecule immediately after the collision? (in km/s)

Answers

let me do the work real quick

The velocity of the nitrogen molecule immediately after the collision (in km/s) is -0.5064 km/s.

What is conservation of linear momentum?

When there is no external force acting on the system, the initial momentum before collision is equal to the final momentum after collision.

According to the momentum conservation principle,

m₁u₁ +m₂u₂ =m₁v₁ +m₂v₂

here, u represents the initial velocities, v represents final velocities and m represents the masses.

Given is the mass of nitrogen molecule, m₁ =28u =28 x 1.66×10⁻²⁷kg = 46.48 x 10⁻²⁷kg

the mass of water molecule, m₂ =18u =18 x 1.66×10⁻²⁷kg = 29.88 x 10⁻²⁷kg

initial velocity of nitrogen molecule u₁ = 0.4390 km/s

initial velocity of water molecule u₂ = -0.7690 km/s

final velocity of water molecule v₂ = 0.7016 km/s

Substituting the values into the above expression, we get the final velocity of the nitrogen molecule

46.48 x 10⁻²⁷kg x 0.4390 km/s + 29.88 x 10⁻²⁷kg x (-0.7690 km/s) = 46.48 x 10⁻²⁷kg x v₁ +  29.88 x 10⁻²⁷kg x  0.7016 km/s

v₁ = -0.5064 km/s

Thus, the final velocity of nitrogen molecule is -0.5064 km/s (to left).

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Define Transmission, reflection, refraction and diffraction

Answers

Answer:

transmission:  the act or process by which something is spread or passed from one person or thing to another

reflection: when light from an object is reflected by a surface, it changes direction. It bounces off the surface at the same angle as it hits it. Smooth, shiny surfaces such as mirrors and polished metals reflect light well.

refraction: change in direction of a wave passing from one medium to another or from a gradual change in the medium

diffraction: various phenomena that occur when a wave encounters an obstacle or opening

If you push on an object that has a mass of 400 kg and it accelerates at 4 m/s2, what would the acceleration (a) be if the mass was reduced to 1/4 as much?

(Hint: Instead of plugging 400 kg into the equation, plug 100 kg into the equation as the mass but keep the force at 1,600 N.)

a
1/4 m/s2

b
16 m/s2

c
8 m/s2

d
4 m/s2

Answers

Answer:

b  16 m/s².

Explanation:

Hello.

In this case, the force exerted to the mass of 400 kg at an acceleration of 4 m/s² is:

[tex]F=400kg*4m/s^2=1600N[/tex]

Now, since the mass is decreased to 100 kg (1/4 of 400 kg), and the force remain the same, the new acceleration should be:

[tex]a=\frac{F}{m}=\frac{1600kg*m/s^2}{100kg}\\ \\a=16m/s^2[/tex]

Thus, the answer is b  16 m/s².

Best regards.

What volume is represented by each small tick mark ? Help need to turn in today !

Answers

Answer:

the beakers measure in milliliters (ml)

the skinny one measures 1 ml per tick mark

the wider one measures 25 ml per tick mark

10 points
If a boat traveling East has a Net Force of 324 N, and the wind blowing
West has a Net Force of 789 N. What is the overall Net Force and which
side?
465 N, East
465 N, West
1113 N, West
1113 N, East

Answers

Answer:

465 N,East ............

Which is formed by positive ions from a base and negative ions from an acid?

salt
vinegar
soap
carbonate

Answers

Answer:a

Explanation:

The formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.

The given problem is based on the concept and fundamentals of Neutralization. The process of neutralization is the name given to the chemical reaction between that takes place between the acid and base.

An acid is the chemical species having the negative ion, hence also known as anions.And the bases are the chemical species having the positive ions, hence they are also known as cationic species. During the chemical reaction between the acid and base, the positive ions from the base and negative ions from the an acid forms a neutral compound, known as Salt. Therefore, this reaction is also known as neutralization reaction.

Thus, we can conclude that the formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.

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Megan is eating a Snickers and decides not to finish the last it of it. She drops the snickers into a trashcan below. What happens to the speed of the piece of Snickers as it falls towards the trashcan?

Answers

Answer:

i like trains 45654

Explanation:

1. Define Inertia
2. Define Balenced force
3. Define Unbalenced force

Answers

Answer:

inertia:

a tendency to do nothing or to remain unchanged.

balanced force:

When two forces acting on an object are equal in size but act in opposite directions.

unbalanced force:

When two forces acting on an object are not equal in size.

The bodies of many cars are designed to compress or crumple during an accident. Why are cars built with a crumple zone?

Answers

By collapsing and crumpling, the force and energy is absorbed by the crumple zone and it is not transferred to the passengers inside. This is a safety feature for the passengers.

What is the example of stop moving

Answers

Answer:

Example:

A car applying brake.

A player catching a bowl.

a 50-kg object is acted upon by a net force of 360-N how much does it accelerate?​

Answers

Answer:

it acceleration 7.2m/s²

Explanation:

mass of object = 50kg

force of object = 360N

acceleration = ?

Force= mass × acceleration

acceleration = force/mass

acceleration = 360N/50Kg

acceleration = 7.2m/s²

it accelerate 7.2 m/s²

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? It will be cut in half. It will double. It will become eight times as large. It will be cut to one-quarter its original size. It will become four times as large.

Answers

Answer:

It will be cut in half

Explanation:

The diffraction of a slit is given by the formula

a sin θ = m where

a = width of the slit,

λ = wavelength and

m = integer that determines the order of diffraction.

Next we divide both sides by a, we have

sin θ = m λ / a

Also, recall that

a’ = 2 a

Then we substitute in the previous equation

2asin θ' = m λ, if divide by 2a, we have

sin θ' = (m λ / 2a).

Now again, from the first equation, we said that sin θ = m λ / a, so we substitute

sin θ ’= sin θ / 2

Then we use trigonometry to find the width, we say

tan θ = y / L

Since the angle is small, we then have

tan θ = sin θ / cos θ

tan θ = sin θ, this then means that

sin θ = y / L

we will then substitute

y’ / L = y/L 1/2

y' = y / 2

this means that when the slit width is doubled the pattern width will then be halved

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