When a pitcher throws a baseball, it reaches a top speed of 45 m/s. If the
baseball takes 0.9 seconds to travel from the pitcher to the catcher, what is
its acceleration? (Assume the ball is moving at 0 m/s right before it leaves
the pitcher's hand.)



A. 45 m/s2

B. 50 m/s2


C. 55m/s 2


D. 40 m/s2

746 joules per second = 746 watts = 1 horsepower

340 joules per second = 340 watts = (340/746) = 0.456 horsepower

Power is a RATE or a SPEED of doing work.  

How long you do it doesn't matter.  

Just like 30 miles per hour doesn't change whether you do it for an hour or for 10 minutes.

If one horsepower is equal to 746 watts, and a highly trained athlete generate by doing 340 joules of work per second for an hour is 0.456 horsepower.

This measure unit can measure "work" or "force". In the SI correspond to move up 75 Kg, to 1 meter high,  in one second.

1 HP = (330 lb) x (100 feet)/1min = 33000 lb x feet/min

Is a practical unit, because reduce the amount of digits in a specific value. Also, it is more used specially in mechanical applications.

1 HP= 746 W (0,746 kW)

746 joules per second = 746 watts = 1 horsepower

340 joules per second = 340 watts = (340/746) = 0.456 horsepower

Thus, For a trained athlete, the value is 0.456 horsepower.

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An area where the water table is at, near, or above the land surface long enough during the year to support adapted plant growth is called a wetland.

Explanation:

Wetland is a private water body, which gets fed permanently or seasonally. Wetland is not purely a water body, because it allows some aquatic plants to grow which have adapted to its hydric soil.  They have their place in almost every continent. They have some types too, namely swamp, marsh, bog, etc.

Mangrove forests are also a type of wetlands because the roots of the mangrove trees store a huge amount of water, which can be used for different purposes. And also, the wetland is at sea-level, which means it is near to the water table also. Its spatial flow is identical to that of the flow of groundwater.

Answer:

The kinetic energy will be 49000[J]

Explanation:

This problem is the common use of energy conservation when the body is at the top at the point where its elevation is the highest (usually the lowest point is taken as the reference level) at that point the body will have the highest potential energy, then as the body descends its potential energy decreases but its kinetic energy begins to increase. By the time the body reaches the lowest point or reference point, its potential energy will be zero, but its maximum kinetic energy, as all potential energy has become kinetic energy.

Therefore:

[tex]Ep=m*g*h\\where\\m =100 [kg]\\g= 9.81 [m/s^2] gravity\\h = 50 [m]\\\\Ep= 100*9.81*50\\Ep=49000 [J][/tex]

This energy will be transformed into kinetic energy at the bottom of the hill.

The kinetic energy of the roller coaster car at the bottom of the hill is 49,000 J, which equals the potential energy at the top of the hill assuming no energy loss to friction.

The motion of roller coasters relies on the conversion between potential and kinetic energy.

At the top of a hill, a roller coaster car has maximum gravitational potential energy, which is given by the equation:

where

Thus,

Assuming no energy loss due to friction, this potential energy is entirely converted to kinetic energy at the bottom of the hill.

Hence, the kinetic energy of the car at the bottom is: 49,000 J.

Answer:

90 degrees

Explanation:

In the attached image we can see, the condition where this condition (|A+B|=|A-B|​) is true.

vector A is pointing horizontally to the right, vector B (positive), points up vertically.

Now analyzing the subtraction of vectors A and B = A - B, we have that vector A continues to point to the right (positive) and vector B points down (negative). In this way the magnitudes of both operations sum and subtraction of vectors is equal.

But the angle between the two vectors (A and B) will remain the same and will be 90°.

Explanation:

Force=Mass*acceleration or F=MA. To find acceleration can be rewritten as A=F/M. If you input the numbers ypu can rewrite as A= 10N/5kg, A=2

The acceleration is 2 meters per sec.

Answer:90×55=4950km

Explanation:d=s×t

Answer:

4950 miles

Explanation:

Answer:

Cementation---precipitation of bonding agents between grains.

Recrystallization---contact pressure causing grains to "fuse" together.

Compaction---increase in density due to weight of overburden.

Explanation:

I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

20 meters.

Explanation:

mgh = 1/2mv^2

gh = 1/2v^2

10(h) = 1/2(20)^2

10h = 1/2(400)

10h = 200

(10h)/10 = 200/10

h = 20

Answer:

20 meters

Explanation:

Answer:

B. chemical only.

Explanation:

In the process of respiration which is a chemical process where organic compound is released. In this process exergonic reaction takes place in which compound changes into different ones.

Following are the two types of respiration:-

1] Aerobic respiration:- In this type of respiration requirement of oxygen is more and energy released is more.

2] Anaerobic respiration:- In this type of respiration oxygen requirement is less and energy released is also less.

D. the rate at which a person slides down a rope.

This indicates speed because the person is timing people on how fast they will slide down a rope.

a) The mechanical advantage is 4

b) The velocity ratio is 5

c) The efficiency is 80%

Explanation:

a)

The mechanical advantage of a lever (or any other machine) is given by

[tex]MA=\frac{Load}{Effort}[/tex]

Where

[tex]Eff[/tex] is the effort (the force applied in input)

[tex]Load[/tex] is the load (the force in output to the lever)

For the lever in this problem, we have:

[tex]Eff = 50 N[/tex]

[tex]Load = 200 N[/tex]

Substituting into the equation, we find the mechanical advantage of the lever:

[tex]MA=\frac{200}{50}=4[/tex]

b)

The velocity ratio of a lever (or any other machine) is given by the equation

[tex]vr=\frac{d_{res}}{d_{eff}}[/tex]

where

[tex]d_{res}[/tex] is the length of the resistance arm

[tex]d_{eff}[/tex] is the length of the effort arm

For the lever in this problem, we have

[tex]d_{res} = 20 cm[/tex]

[tex]d_{eff}=1 m = 100 cm[/tex]

Therefore, the velocity ratio is

[tex]vr=\frac{100}{20}=5[/tex]

The velocity ratio represents the ideal mechanical advantage of the machine, i.e. the mechanical advantage in absence of friction, or the maximum theoretical mechanical advantage.

c)

The efficiency of the lever is given by the following ratio:

[tex]\eta = \frac{MA}{vr}[/tex]

where

MA is the mechanical advantage

vr is the velocity ratio

For the lever in this problem, we have

MA = 4 (calculated in part a)

vr = 5 (calculated in part b)

Therefore, the efficiency of the lever is

[tex]\eta = \frac{4}{5}=0.80[/tex]

Which means an efficiency of 80%.

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Answer:  Radium is a member of the alkaline metals group.

Tin is classified in the 'Other Metals' section which can be located in groups 13, 14, and 15 of the Periodic Table.

Iodine is classified as a halogen — a subset of very chemically reactive elements (Group 17 on the periodic table) that exist in the environment as compounds rather than as pure elements. The other halogens include fluorine (F), chlorine (Cl), bromine (Br) and astatine (At).

Cesium is classified as an "Alkali Metal" and located in Group 1 elements of the Periodic Table. An Element classified as an Alkali Metal is a very reactive metal that does not occur freely in nature. Alkali metals are soft, malleable, ductile, and are good conductors of heat and electricity.

Radium belongs to Alkaline Earth Metals, Tin to Post-transition Metals, Iodine to Halogens, and Cesium to Alkali Metals.

The elements in question belong to different families on the Periodic Table.

The elements Radium, Tin, Iodine, and Cesium belong to different families in the Periodic Table of Elements. Radium is classified in the Alkaline Earth Metals family, Tin is classified in the Carbon Group family, Iodine is classified in the Halogens family, and Cesium is classified in the Alkali Metals family.

Each family is grouped together because of similarities in chemical properties, as well as their shared valence electron structure.

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Answer:5

Explanation:

a=3

b=4

c=√(a²+b²)

c=√9+16

c=√25

c=5

Final answer:

To find the resultant of two components, 3km west and 4 km south, using the Pythagorean theorem, treat the components as the legs of a right triangle and apply the formula d = √(3² + 4²). The magnitude of the resultant of the two components, 3 km west and 4 km south, is 5 km.

Explanation:

To find the resultant of two components using the Pythagorean theorem, you need to consider the components as the legs of a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this scenario, the two components are 3 km west and 4 km south. These can be considered as the legs of a right triangle.

Let's denote:

- a = 3 km (west component)

- b = 4 km (south component)

The resultant, which represents the magnitude of the total displacement, can be found using the Pythagorean theorem:

[tex]\[ \text{Resultant}^2 = a^2 + b^2 \][/tex]

[tex]\[ \text{Resultant}^2 = (3 \, \text{km})^2 + (4 \, \text{km})^2 \][/tex]

[tex]\[ \text{Resultant}^2 = 9 \, \text{km}^2 + 16 \, \text{km}^2 \][/tex]

[tex]\[ \text{Resultant}^2 = 25 \, \text{km}^2 \][/tex]

Now, to find the magnitude of the resultant, we take the square root of both sides:

[tex]\[ \text{Resultant} = \sqrt{25 \, \text{km}^2} \][/tex]

[tex]\[ \text{Resultant} = 5 \, \text{km} \][/tex]

So, the magnitude of the resultant of the two components, 3 km west and 4 km south, is 5 km.

Answer:

1) Current decreases; 2) Inverse proportionally; 3) 1[A]

Explanation:

1)

As we can see as the resistance increases the current decreases, if we take two points as an example, when the resistance is equal to 50 [ohms] the current is equal to 1[amp] and when the resistance is equal to 200 [ohms] the current tends to have a value below 0.5 [amp]. Thus demonstrating the decrease in current.

2)

Inverse proportionally, by definition we know that the law of ohm determines the voltage according to resistance and amperage. This is the voltage will be equal to the product of the voltage by the resistance.

[tex]V=I*R\\V = voltage [volts]\\I = current[amp]\\R = resistance [ohms][/tex]

where:

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

And whenever we have in a fractional number the denominator the variable we are interested in, we can say that this is inversely proportional to the value we are interested in determining. In this case, we can see from the two previous expressions that both the current and the resistance appear in the denominator, therefore they are inversely proportional to each other.

3)

If we place ourselves on the graph on the resistance axis, we see that at 50 [ohm] will correspond a current value equal to 1 [A].

Answer:

1. A. decrease

2. C. Inverse proportionally

3. B. 1 A

Explanation:

Answer:

Decreases

Explanation:

Answer:

B. Decreases

Explanation:

According to differential reinforcement theory, one of the social learning theories, when behaviors are rewarded with the certain positive actions or positive outcomes then it is called positive enforcement. Positive enforcement increases the criminal actions. On the other hand, negative enforcement increases the actions which reduce the criminal activities.  

According to theory explained above Studies have shown that viewing violent actions in the media decreases the inhibition against performing those actions when behavior is rewarded with the positive enforcement.

Answer:

1)  both velocity and acceleration at x =  λ /2 are 0

2)maximum velocity at x=λ /4 is -2Aω

  maximum acceleration at x=λ /4 is Aω²

3)maximum velocity at x=λ /8 is √2Aω

maximum acceleration at x=λ /8 is (-Aω²/√2)

Explanation:

When a string is tied at both ends and vibrated, we get standing waves.

The general form of standing wave is,

y(x,t) = 2A×sin(kx)×cos(ωt)   (displacement of string at x and at time t)

where, A = amplitude of wave

ω = 2πv , v = frequency of the wave

k = 2π/λ ;  λ = wavelength of wave

Speed V = ω/k.

Now, differentiating y(x,t) by once with t gives velocity

⇒V(x,t) = -2Aω×sin(kx)×sin(ωt)

And differentiating once again gives acceleration

a(x,t) = -Aω²×sin(kx)×cos(ωt)

1) x= λ/2

⇒V(x,t) = -2Aω×sin(k(λ /2))×sin(ωt)

            = -2Aω×sin(π)×sin(ωt)

            = 0

a(x,t) = -Aω²×sin(kx)×cos(ωt)

⇒ a(x,t) = -Aω²×sin(k(λ /2))×cos(ωt)

             = -Aω²×sin(π)×cos(ωt)

             = 0

2) x= λ /4

⇒V(x,t) = -2Aω×sin(kx)×sin(ωt)

            = -2Aω×sin(k(λ /4))×sin(ωt)

            = -2Aω×sin(π/2)×sin(ωt)

             = -2Aω sin(ωt)

⇒ maximum velocity at x=λ /4 is -2Aω (minimum sin value is -1)

a(x,t) = -Aω²×sin(kx)×cos(ωt)

        = -Aω²×cos(ωt)

⇒ maximum acceleration at x=λ /4 is Aω² (minimum cos value is -1)

3) x= λ /8

⇒V(x,t) = -2Aω×sin(kx)×sin(ωt)

             = -√2Aω×sin(ωt)

⇒ maximum velocity at x=λ /8 is √2Aω (minimum sin value is -1)

a(x,t) = -Aω²×sin(kx)×cos(ωt)

         = (-Aω²/√2) × cos(ωt)

⇒ maximum acceleration at x=λ /8 is (-Aω²/√2) (minimum cos value is -1)

The velocity perpendicular to the radius vector is called the transverse velocity. The transverse acceleration is the acceleration produced by an inertial force acting across the body. The expression for the maximum transverse velocity and acceleration has been obtained for given values of x.

A horizontal string tied at both ends is vibrating in its fundamental mode.

Velocity perpendicular to the radius vector is called the transverse velocity.

The formula for the maximum transverse velocity can be given as,

[tex]V_m=-2A\omega\sin(kx)\times \sin(\omega t)[/tex]

Transverse acceleration is the acceleration produced by an inertial force acting across the body.

[tex]a_m=-A\omega^2 \sin(kx)\times \cos(\omega t)[/tex]

[tex]V_m=-2A\omega\sin(k\dfrac{\lambda}{y} )\times \sin(\omega t)\\ V_m=-2A\omega\sin(\pi )\times \sin(\omega t)\\ V_m=0[/tex]

[tex]a_m=-A\omega^2 \sin(k\dfrac{\lambda}{2} )\times \cos(\omega t)\\ a_m=-A\omega^2 \sin(\pi )\times \cos(\omega t)\\ a_m=0[/tex]

[tex]V_m=-2A\omega\sin(k\dfrac{\lambda}{4} )\times \sin(\omega t)\\ V_m=-2A\omega\sin(\dfrac{\pi}{2} )\times \sin(\omega t)\\ V_m=-2A\omega \times \sin(\omega t)\\ [/tex]

[tex]a_m=-A\omega^2 \sin(k\dfrac{\lambda}{4} )\times \cos(\omega t)\\ a_m=-A\omega^2 \sin(\dfrac{\pi}{2} )\times \cos(\omega t)\\ a_m=-A\omega^2 \times \cos(\omega t)\\[/tex]

[tex]V_m=-2A\omega\sin(k\dfrac{\lambda}{8} )\times \sin(\omega t)\\ V_m=-{\sqrt{2} }{A\omega\times \sin(\omega t)} \\ [/tex]

[tex]a_m=-A\omega^2 \sin(k\dfrac{\lambda}{4} )\times \cos(\omega t)\\ a_m=\dfrac{-A\omega^2\times \cos(\omega t)}{\sqrt{2} } \\ [/tex]

Thus the maximum transverse velocity and maximum transverse acceleration at given points has been obtained.

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Answer:

Hi there! I have only the procedure and the scientific names of the creatures. Hope this helps!

Procedure

I studied the physical features of ten creatures and classified them using the key. I completed each section below and recorded the creature's scientific name in the data section.

The Creatures Scientific Names:

1  

Fuzzus tallywag

2  

Fuzzus pointilus

3  

Silkus duosquirmus

4  

Fuzzus chompilus

5  

Silkus stretchilus

6  

Silkus tallyhas

7  

Fuzzus feelzalot

8  

Silkus monosquirmus

9  

Fuzzus squarilus

10  

Silkus monowrestle

Have a thrilling Thursday!

~Lola

Answer:

Creature

Scientific Name

1.

Fuzzus tallywag

2.

Fuzzus pointilis

3.

Silkus duosquirmus

4.

Fuzzus chompilus

5.

Silkus stretchilus

6.

Silkus tallyhas

7.

Fuzzus feelzalot

8.

Silkus monosquirmus

9.

Fuzzus squarilus

10.

Silkus monowrestle

Conclusion (10 points)

Now that you have classified the organisms on planet Fabula answer the following questions:

Skilled Scientist level from Rubric:  Student used critical thinking skills and evidence to establish a possible relationship among organisms and a possible evolutionary history of traits.

How many different species are there?

THere are 10 different species.

How many different genus groups are there?

There are 10 different genus groups.

List the different genus groups:

Fuzzus Tallywag

Fuzzus pointilus

Silkus duosquirmus

Fuzzus chompilus

Silkus stretchilus

Silkus tallyhas

Fuzzus feelzalot

Silkus monosquirmu

Fuzzus squarilus

Silkus monowrestle

Do you think all of these creatures would be long to the same Kingdom? Why or why not?

Yes, because they all look the same, but also look different. It's kind of like cats and lions or dogs and wolves.

Explanation:

The board is 2.50m high.

Why?

We can calculate how high was the board applying the Law of Conservation of Mechanical Energy. This Law states that the mechanical energy (kinematic and potential) will be conserved during the motion.

It can be described with the following formula:

[tex]E_{M_{1}}=E_{M_{2}}\\\\PE_{1}+KE_{1}=PE_{2}+KE_{2}[/tex]

[tex]PE=m*g*h\\KE=\frac{1}{2}m*v^{2}[/tex]

At the top of the boar, the kinetic energy is equal to 0.

At the water, the potential energy is equal to 0.

So,

[tex]PE_{1}=KE_{2}\\\\m*g*h=1450J\\\\59.3kg*9.8\frac{m}{s^{2}}*h=1450J\\ \\h=\frac{1450J}{59.3kg*9.8\frac{m}{s^{2}}}=2.50m[/tex]

Hence, we have that the board is 2.50m high.

Have a nice day!

Answer:

Its D these nets have long been destroying the ecosystem

Answer: D.) It reduces populations of fish and other marine organisms.

Explanation: It was on study Island

Answer and Explanation:

NOTE: Magnetism means the magnetic property of a material that causes it to create a magnetic field, hence getting it attracted to a magnet.

EXPERIMENTAL PROCEDURE

1. Use a tape to attach a permanent magnet to the end of a ruler so that the magnet is facing away from the ruler. Don't cover the magnetic surface with the tape. ( Leave the magnet in its decorative casing.)

2. Place your metal objects in a row, and make predictions of which one of them will be attracted to the magnet and which will not.

3. Hold the magnet over each metals, and record which metals are attracted to the magnet. Go back over the

objects that were not affected by the magnet at least one more time to be sure you didn't miss any.

In this experiment, the independent variable is the magnetism of the magnet used. This is the independent variable because it remained unchanged and unaffected by the metals' magnetic properties all through the experiment.

While the dependent variable is the magnetism of the metals used. This is so because the magnetism of these metals varied and also because it is what is been measured in the experiment. Some were attracted to the magnet from very close range while others were attracted even at some centimeters away from the magnet which indicates that those metals have strong metallic properties.

Answer:

The aim of this experiment is to determine the magnetism and magnetic properties of objects.

Magnetism can be defined as the phenomenon that is a result of the movement of the free electron that produces an electric charge which in turn results in attractive and repulsive force between objects.

Explanation:

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Answer:

Natural gas

Explanation:

Nuclear is from splitting atoms in a nuclear power plant and doesn't emit GHG.

Hydroelectric is a clean energy which powered by water currents in turn not emitting any GHG.

Geothermal is heat captured from underneath the surface and within Earth and doesn't have GHG once the contruction of putting pipes underground is done.

Natural gas once burned emits GHG.

Answer:

138.0165

Explanation:

look up nitrogen dioxide to grams for stuff like this

Answer:

B

Explanation:

Reflect: (of a surface or body) throw back (heat, light, or sound) without absorbing it.

Answer:

bouncing off a surface

Explanation:

definition of reflection: the throwing back by a body or surface of light, heat, or sound without absorbing it.

Answer:

The speed of the object is 20.24 m/s.  

Explanation:

For a body of mass 'm' travelling with velocity 'v' , its kinetic energy is gievn by -

[tex]KE = \frac{1}{2}mv^{2}[/tex] --- 1

The momentum of body is given by -

[tex]p = mv[/tex] ---- 2

Dividing equation 1 and 2 , we get -

[tex]\frac{KE}{p} = \frac{v}{2}[/tex]

Given that ,

KE = 249 J

p   = 24.6 kg.m/s

Substituting the 2 values in the above equation , we get -

v = 20.24 m/s.

Tides are lowest when:

Tides are lowest when the earth, sun and moon come’s in a right angle. It occurs when the greatest pint in the wave or can called the crest arrives at the coast, the coast can feel the high tide, but when the smallest point i.e. trough arrives at the coast feels the low tide. The tidal force present makes the earth also the water to swell out of side which is often nearer to moon and the side farthest to that of moon, when no swelling can be seen low tides occurs.

Neap tides, which are the lowest tides, occur when the Sun and Moon's gravitational forces are at right angles to each other, typically during the first and third quarter moon phases.

The lowest tides, known as neap tides, occur approximately twice a month when the Sun is at a 90° angle to the Earth-Moon alignment. During these periods, the gravitational forces of the Sun and the Moon act at right angles to each other, which reduces the overall tidal effect. Neap tides happen during the first and third quarters of the Moon’s phase, also referred to as the half-moon. Conversely, the highest tides, called spring tides, happen when the Earth, the Moon, and the Sun are aligned, typically during a new or full moon when their gravitational forces combine to create stronger tides.

Answer:

51.25 mph

Explanation:

[tex]Speed=\frac {Distance}{Time}[/tex]

Total distance= 100 miles + 30 miles + 75 miles=205 miles

Total time=2 hours+1 hour+1 hour= 4 hours

Average speed, [tex]s=\frac {205 m}{4 h}=51.25 mph[/tex]

The answer is 51

Explanation: Edg2020

Answer:

h = 500 meters; angle =  45°

Explanation:

Don't worry the answers are very simple. As we can see in problem 31 we have a right triangle, the right triangle always has a 90° angle. Let's also remember that all the sum of the three angles of a triangle will be equal to 180°.

Using the trigonometric function of cosinus we can find the value for h.

[tex]cos(60)=\frac{h}{1000} \\h= cos(60)*1000\\h= 500[m][/tex]

Cosinus (angle) = adjacent side / hypotenuse

Hypotenuse = longest side of the right triangle

adjacent side = side of the triangle, near to the angle that we want to find its dimension.

In problem 32 we will use also the trigonometric function. In this case we don't know the hypotenuse dimension therefore the best trigonometric fuction is "tangent"

[tex]tan (\alpha ) = \frac{125}{125}\\\alpha  =tan^{-1}(1)\\\alpha  =45 (deg)[/tex]

tan (angle) = opposite side / adjacent side

Answer:

As the number of turns in the coil increases, the strength  of the electromagnet increases.

Explanation:

When current flows through a coil the coil behaves as an electromagnet. The strength of electromagnet depend the amount of current, no of turns of coil and the core of coil.

B=μ₀ N I

μ₀ = permeability of the core

N = Number of turns of the coil

I = Current flowing through the coil

Increasing the current and number of coils increase the strength of electromagnet.

Answer:

Potential energy converted = 4.2*10^7 [J]

Explanation:

This problem has to be analysed under the principle of energy conservation. For this case potential energy that is transformed into kinetic energy, but however not all potential energy is transformed into kinetic energy, as we are told that some of this energy dissipates in the form of heat. We must first find the potential energy.

Potential energy

[tex]E_{p} =m*g*h\\where:\\m = mass =3.5*10^4[kg]\\g = gravity = 9.81[m/s^2]\\h = elevation = 126.5 [m]\\therefore\\E_{k} = 3.5*10^4*9.81*126.5\\E_{k} = 43433775 [J][/tex]

Kinetic Energy

[tex]E_{k}=\frac{1}{2} * m*v^{2}\\ where:\\v = velocity = 10[m/s]\\therefore:\\E_{k}=\frac{1}{2} * 3.5*10^4*10^{2}\\\\E_{k}=1750000[J][/tex]

As we can see, not all potential energy has been transformed into kinetic energy. That is, part of this energy dissipates as thermal energy, so this difference of energies will be equal to the loss of energy represented as dissipated energy.

[tex]Thermal Energy\\T_{e} = 43433775-1750000\\T_{e} =41683775[J][/tex]

The previous value can be approximated to 4.2 * 10^7 [J]

Answer:

4.2 x 10^7

I hope this helps!

Before the collision, the total momentum of the system is the sum of the momentum of the truck and the car. After the collision, the truck and the car move together with a final velocity of 0.8 m/s.

Before the collision, the total momentum of the system is the sum of the momentum of the truck and the car:

Total momentum before = (mass of truck × velocity of truck) + (mass of car × velocity of car)

Total momentum before = (4800 kg × 4.0 m/s) + (1200 kg × -12 m/s)

Total momentum before = 19200 kg·m/s - 14400 kg·m/s = 4800 kg·m/s

After the collision, the truck and the car move together. They have the same final velocity. To find this velocity, we can use the principle of conservation of momentum:

Total momentum after = (mass of the combined system × final velocity)

4800 kg·m/s = (6000 kg × final velocity)

Final velocity = 4800 kg·m/s / 6000 kg = 0.8 m/s

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The final velocity is (4800 kg ×7 m/s) ×7 (6000 kg) = 0.8 m/s.

The subject question is concerned with momentum conservation in a collision between a truck and a car, a fundamental concept in physics. To fill in the before-and-after collision table, we calculate the initial momentum of each vehicle and use conservation of momentum to find the final velocity of the entangled masses.

The initial momentum of the truck is the product of its mass and velocity, which is (4800 kg) ×(4.0 m/s) = 19200 kg ×7 m/s directed 'positive'. For the car, it is (1200 kg)  ×(-12 m/s) = -14400 kg ×7 m/s directed 'negative'. The total initial momentum of the system is the sum of the individual momenta: 19200 kg ×7 m/s - 14400 kg ×7 m/s = 4800 kg ×7 m/s.

After the collision, since the truck and car move together, we must find their combined mass and solve for the final velocity using the equation: (Total Initial Momentum) = (Total Mass) ×(Final Velocity). The total mass is (4800 kg + 1200 kg) = 6000 kg.