what oversimplified assumption does the graph make about number of types of products the society produces?

A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls that have been just sitting there at rest and not moving.

The total momentum of all four balls after the collision is 3 kg⋅m/s, because momentum is not created or destroyed.  The total amount of it after an event is the same as the total amount of it before the event.

The momentum of the billiard balls after the collision is 3 Kgm/s.

Given the following data:

To find the momentum of the balls after the collision:

Momentum is simply a multiplication (product) of the mass of an object with its velocity.  Also, momentum is a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex]Momentum = Mass[/tex] × [tex]Velocity[/tex]

[tex]Total \; momentum = Momentum \; B + Momentum \;of \;the \;other\; balls.[/tex]

Since the other billiard balls were at rest (not experience any motion), there velocities would be zero (0) m/s.

Substituting the given values, we have:

[tex]Total \; Momentum = 3 + 0[/tex]

Total momentum = 3 Kgm/s.

Therefore, the momentum of the billiard balls after the collision is 3 Kgm/s.

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Answer:

Explanation:

Yes, translations are rigid transformations. You can verify that the distances between the points are preserved.

Answer:

True

Explanation:

In translation, all points of the figure move the same distance and in the same direction. The shape and size of the image remains the same as the preimage

Answer:

Dependent Variable: growth of claw size in mutant lobsters

Independent variable: different amounts of seawater contaminated with Pepsi

Controlled variable: Mutant Lobsters

Explanation:

A dependent variable is one that depends on another factor to get it's result.

An independent variable is one that doesn't rely on another factor/variable to derive it's result.

A controlled variable is one which is constant and remains unchanged throughout the course of the experiment/investigation. Which means it verifies the behavior between the dependent and independent variables.

Now, in the question, the growth of claw size in the mutant lobsters depends on the different amounts of seawater contaminated with Pepsi.

Thus growth of claw size in mutant lobsters is a dependent variable while different amounts of seawater contaminated with Pepsi is an independent variable.

The mutant lobsters would be used throughout the investigation to know the relationship between the dependent and independent variable and wouldn't be changed. Thus, they are controlled variable.

[tex]\sf{\pink{\underline{\underline{\blue{GIVEN:-}}}}}[/tex]

[tex]\sf{\pink{\underline{\underline{\blue{TO\: FIND:-}}}}}[/tex]

[tex]\sf{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]

⚡ Let [tex]\rm{\vec{a}}[/tex] and [tex]\rm{\vec{b}}[/tex] are the two vectors .

✍️ We have know that,

[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:.\:\vec{b}\:=\:ab\cos{\theta}\:}}}}[/tex]

Where,

[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\cos{90^{\degree}}\:}[/tex]

[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\times{0}\:}[/tex]

[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:0\:}[/tex]

[tex]\rm{\red{\therefore}}[/tex] [1] The dot product of two vectors is “ 0 ” .

✍️ We have know that,

[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:\times\:\vec{b}\:=\:ab\sin{\theta}\:}}}}[/tex]

Where,

[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\sin{90^{\degree}}\:}[/tex]

[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\times{1}\:}[/tex]

[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\:}[/tex]

[tex]\rm{\red{\therefore}}[/tex] [2] The cross product of two vectors is “ ab ” .

the dot and cross product will become zero if the angle becomes 90°

hope it helps you...

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Answer:

The average speed of her is 2 m/s.

The acceleration for the entire trip is 0.2 m/s²

Explanation:

Given that,

katie measured the distance her friend morgan ran on a straight track every 2s.

According to given chart,

We need to calculate the average speed

Using formula of average speed

[tex]v_{avg}=\dfrac{D}{T}[/tex]

Where, D = total distance

T = total time

Put the value into the formula

[tex]v_{avg}=\dfrac{20}{10}[/tex]

[tex]v_{avg}=2\ m/s[/tex]

We need to calculate the acceleration for the entire trip

Using equation of motion

[tex]v=u+at[/tex]

[tex]2=0+a\times10[/tex]

[tex]a=\dfrac{2}{10}[/tex]

[tex]a=0.2\ m/s^2[/tex]

Hence, The average speed of her is 2 m/s.

The acceleration for the entire trip is 0.2 m/s²

Answer:

4 Because Hypothesis sentence always have to be "If" and Then a "then"

Answer: a

Explanation:

Answer:

it is because it is quieter at night than in the daytime. Therefore it is easy to hear the sound far away. However, it is only one of the reasons. Actually, sound transmits farther at night may be related to refraction of sound waves! First, sound is the vibration of air, and it is a kind of wave motion.

Explanation:

Answer:

Explanation:

a). Find the graph attached for the motion.

b). If a shopper walk 5.4 m westwards then 7.8 m eastwards,

   Distance traveled by the shopper = Distance traveled in eastwards + Distance traveled westwards

                                                            = 5.4 + 7.8

                                                            = 13.2 m

c). Displacement of the shopper = Distance walked westwards - Distance traveled eastwards

                                                      = 5.4 - 7.8

                                                      = -2.4 m

Therefore, magnitude of the displacement of the shopper is = 2.4 m

And the direction of the displacement is eastwards.

Answer:

team A - team B = 450 N - 415 N

                                               = 35 N

Explanation:

net force on the rope is 35 N and the direction is towards A.since the two teams are pulling away from each other with the given forces, the net force can be calculated by subtracting the forces.

The net force on the rope is 35N in right direction

As We know that ,

[tex]F_{net} = F_1+F_2[/tex]

Now as The direction of the Team A is right so the Force applied will be positive, that is 450N

Simultaneously , The direction of Team B is left so the Force applied will be negative , that is -415N

Here,

F1 = 450N

F2 = -415N

[tex]F_{net} = F_1+F_2[/tex]

= 450+ (-415N)

= 450-415

=35N

Hence the net force applied is 35N and as the net force is positive the direction will be right

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Prokaryotic cells reproduce more quickly than eukaryotic cells because the latter are more structurally complex. The correct option is A.

Eukaryotic cells have nuclei and membrane-bound organelles such as mitochondrion. This is unlike prokaryotic cells whose DNA lies freely in the cytoplasm and lacks membrane-bound organelles.

In order words, eukaryotic cells are structurally more complex than prokaryotic cells. Thus, reproductive times in prokaryotes are usually quicker than in eukaryotes.

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Answer:

Please find the explanation below

Explanation:

A hypothesis in science is a testable explanation that is yet to be tested via experimentation. It is a predictive statement or suggested solution to an observation. A hypothesis aims at finding a possible explanation/answer to a question, which is subject to testing. One important aspect of formulating a hypothesis is that it tends to connect the independent variable with the dependent/measurable variable.

The statement "RED IS A BEAUTIFUL COLOR" cannot be considered a hypothesis because it does not aim to answer a question that can undergo experimental testing. This statement can not be measured via experimentation. The statement is not a possible answer to a question but rather a personal opinion about something.

determining how data will he gathered

Explanation: Apex

Answer:

determining the hypophysis

Explanation:

here you go

Answer:  Any push/pull on any object is made by a force of some sort.

Explanation:

Explanation:

Fnet = ma.

Assume that there is no resistance acting on the mass. Therefore a = 15N / 45kg = 0.33N/kg or 0.33m/s^2.

Answer:

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed

Unit: Pascal (Pa)

1Pa = 1N/m^2

Answer:

[tex]V = \frac{s(t_b) - s(t_a)}{t_b -t_a}[/tex]

Explanation:

Given;

position of the object as s(t)

The average velocity is given by;

[tex]V = \frac{s(t_b) - s(t_a)}{t_b -t_a}[/tex]

where;

s(tb) is the object's final position at time tb

s(ta) is the initial position of the object at time ta

tb is the final time of the object's displacement

ta is the initial time of the object's displacement

Answer:

a. 77.1 g

b.0.000234 m

c. 6310000 mm

d. 10.2°C

Explanation:

Answer:

Velocity=5m/s

Explanation:

V=?

S=50m

t=10s

V=S/t

V=50/10

V=5m/s

Explanation:

The liquid contains only one element. -The liquid is a pure substance. The number at the end of an isotope's name is the -mass number. While looking at xenon (Xe) on the periodic table, a student needs to find an element with a smaller atomic mass in the same group.

Answer:yes

Explanation:

ice melter because it causes freezing point depression.This means that salt helps in lowering the freezing point.

a) The acceleration that the stone has is the gravitational acceleration and it is always the same (Actually not but assumed to be so)

The gravitational acceleration is 9.81 m/s²

Since this acceleration is always constant, we can use the formula of V = g × t, where V is velocity, g is the gravitational acceleration and t is time.

Let's use this formula: V = g × t = 9.81 × 8.0 = 78.48 m/s

b) Displacement in free falls is calculated by the formula of d = 1/2 × g × t², which is actually derivated from average velocity.

If we use the formula, d = 1/2 × 9.81 × 8² = is found to be 313.92 m

If there is anything you do not understand or anything is wrong, please let me know and I am sorry for my bad English ^^

Answer:

When light travels from one medium to another, the frequency of light does not change. However, the velocity and wavelength change.

Explanation:

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Answer:

Explanation:

acceleration is the change i velocity with respect to time.

Acceleration = change in velocity/time take

Acceleration = final velocity - initial velocity/time taken

Given initial velocity = 15m/s

final velocity = 25m/s

time = 6sec

Substituting the given value into the formula above to get acceleration

acceleration = 25-15/6

acceleration = 10/6

acceleration = 1.67m/s²

Hence Mia acceleration is 1.67m/s²

Answer: Please find the answer in the explanation

Explanation:

The question goes thus :

What happens to the charged electroscope when a conductor is moved between its plastic sheets, and why?

When a conductor is moved between its plastic sheets of a charged electroscope, the divergence between the brass plate and the gold leaf will decrease.

And why ?

Because of the unlike charges or neutral uncharged charges between the conductor and the plastic Sheets.

Answer:

When the gravitational force on the Moon from the Earth = 4.00 Fm, the distance of the Moon from the Earth is 0.5·D

Explanation:

The given information includes;

The distance of the moon from the Earth = 0.25·D

The gravitational force, F, on the Moon from the Earth = 16.00 Fm

When the gravitational force on the Moon from the Earth = 4.00 Fm, the distance of the Moon from the Earth is found as follows;

From Newton's law of gravitation;

[tex]F_{1} = F_{2} =G\dfrac{m_{1}m_{2}}{r^{2}}[/tex]

At r = 0.25·D, F = 16.00 Fm

Therefore;

G×m₁×m₂ = (0.25·D)²×16.00 Fm = D²×Fm = Constant

When, the gravitational force of the Moon from the Earth = 4.00 Fm, we have;

[tex]F = 4.00 \ Fm =\dfrac{D^2 \times Fm}{r_2^{2}}[/tex]

Therefore;

[tex]r_2^{2} =\dfrac{D^2 \times Fm}{4.00 \ Fm} = \dfrac{D^2}{4}[/tex]

[tex]r_2 =\sqrt{\dfrac{D^2}{4}} = \dfrac{D}{2} = 0.5 \cdot D[/tex]

r₂ = 0.5·D

Where;

r₂ = The new distance of the Moon from the Earth

Therefore the distance of the Moon from the Earth when the gravitational force on the Moon from the Earth = 4.00 Fm is r₂ = 0.5·D.

Answer:

an example is a bicep curl

Explanation:

A concentric contraction is a type of muscle activation that causes tension on your muscle as it shortens. As your muscle shortens, it generates enough force to move an object.