A 500 kg car traveling at 20 m/s rear ends another car of 600 kg at rest. The collision is great enough that the two cars stick together after they collide. How fast will both cars be going after the collision?

Answer:

1. Mechanical energy = 298.4 Joules.

2. Mechanical energy = 2140 Joules.

3. Mechanical energy = 0.2838 Joules.

Explanation:

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Given the following data;

1. Kinetic energy = 182.2 J

Potential energy = 116.2 J

To find the mechanical energy;

Mechanical energy = kinetic energy + potential energy

Mechanical energy = 182.2 + 116.2

Mechanical energy = 298.4 Joules.

2. Mass = 40kg

Velocity = 3m/s

Height = 5m

We know that acceleration due to gravity is equal to 9.8m/s²

To find the mechanical energy;

We would determine the kinetic and potential energy respectively.

K.E = ½mv²

K.E = ½*40*3²

K.E = 20*9

K.E = 180 Joules.

P.E = mgh

P.E = 40*9.8*5

P.E = = 1960 Joules

Mechanical energy = K.E + P.E

Mechanical energy = 180 + 1960

Mechanical energy = 2140 Joules.

3. Mass = 0.002kg

Height = 3m

Velocity = 15m/s

To find the mechanical energy;

K.E = ½mv²

K.E = ½*0.002*15²

K.E = 0.001*225

K.E = 0.225 Joules.

P.E = mgh

P.E = 0.002*9.8*3

P.E = = 0.0588 Joules

Mechanical energy = K.E + P.E

Mechanical energy = 0.225 + 0.0588

Mechanical energy = 0.2838 Joules.

Work = (force) x (distance)

Work = (20 N) x (10 m)

Work = 200 Joules

Answer:

when waterways are polluted it affects all forms of life in the area - including us

expression:

for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!

hope that helps !

Answer:

19.2 m/s

Explanation:

From the question,

Velocity = displacement/time = d/t

V = d/t.................................. Equation 1

Average velocity = Total displacement/ total time

Total dispalcement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

Substitute these value into equation 1

V = 67.08/3.5

V = 19.2 m/s.

Hence the average velocity is 19.2 m/s

The parameter given for the car during transit is 30 m north in 1.5 seconds and drives 60 east in 2 seconds, we want to find the average velocity.

average velocity is 19.2 m/s

Solution

The expression for Average velocity is

Average velocity = Total Displacement/ Total time Taken...............Eqn 1

Total Displacement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

From the Equation 1

Average Velocity = 67.08/3.5

V = 19.2 m/s.

Therefore, the average velocity is 19.2 m/s

Learn more about average velocity :

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Answer:

C

Explanation:

pls mark brainlest ty

have a good day

The gas has the same temperature throughout. (C)

Answer:

i dont know

Explanation:

hello

Answer:

F' = 64 F

Explanation:

The electric force between charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

Where

q₁ and q₂ are charges

r is the distance between charges

When  each charge is doubled and the distance between them is 1/4 its original magnitude such that,

q₁' = 2q₁, q₂' = 2q₂ and r' = (r/4)

New force,

[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]

Apply new values,

[tex]F'=\dfrac{k\times 2q_1\times 2q_2}{(\dfrac{r}{4})^2}\\\\=\dfrac{k\times 4q_1q_2}{\dfrac{r^2}{16}}\\\\=64\times \dfrac{kq_1q_2}{r^2}\\\\=64F[/tex]

So, the new force becomes 64 times the initial force.

Answer:Patrick Mahomes

Explanation:

Answer:

Patrick Lavon Mahomes II

Explanation:

Answer:

296.01 J

Explanation:

From the question,

Q = cm(t₂-t₁)....................... Equation 1

Where Q = quantity of heat, c = specific heat capacity of aluminium, m = mass of aluminium, t₁ = Initial temperature, t₂ = Final temperature

Given: c = 897 J/kg.K, m = 0.01 kg, t₁ = 22 K, t₂ = 55 k

Substitute these values into equation 1

Q = 897×0.01×(55-22)

Q = 897×0.01×33

Q = 296.01 J

Hence 296.01 Joules of heat is required.

Answer:

The tissues in a multicellular organism requires a circulatory system in other to deliver oxygen and food to the tissues while also removing carbon dioxide and metabolic wastes due the complexity of these activities

Explanation:

Multicellular organisms are organisms that are made of more than one cell. the more cells an organism has the more complex certain activities might be for the organism hence the tissues in a multicellular organism requires a circulatory system in other to deliver oxygen and food to the tissues while also removing carbon dioxide and metabolic wastes

Answer: The amplitude is 0. (assuming that the amplitude ot both initial waves is the same)

Explanation:

When two monochromatic light waves of the same wavelength and same amplitude undergo destructive interference, means that the peak of one of the waves coincides with the trough of the other, so the waves "cancel" each other in that point in space.

Then if two light waves undergo destructive interference, the amplitude of the resultant wave in that particular point is 0.

Answer:

No, the resulting wave in the diagram does not demonstrate destructive interference. The resulting wave in the diagram shows a bigger wave than Wave 1 or Wave 2. If it demonstrated destructive interference, it would be a smaller wave or a horizontal line. With destructive interference, waves break down to form a smaller wave, or cancel each other out, resulting in no wave formation.

Explanation:

edge

Answer:

I gotchu fam. 0.0435 kg

Explanation:

m1v1+m2v2=m1v1f+m2v2f

(0.5)(23)+(m2)(0)=(0.5)(17)+(m2)(69)

11.5=8.5+69m2

3=69m2

0.0435 kg

Answer: 20.4 m

Explanation: speed v upward is v = vo -gt.

When maximum height v = 0, vo -gt = 0 and

T = vo / g = 20 m/s / 9.81 m/s² = 2.04 s

Now height y = vot -0.5 gt^2 = 20,4 m

This is possible to solve using

Conservation of energy Ek= Ep

0.5mv² = mgh. And h = v²/2g. Results same

Answer:

Work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement. ... To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd.

Explanation:

Definition of work in physics

Answer:

The distance moved by the train is half the distance moved by the force

Explanation:

Given that the force applied to the smaller piston, F₂ = 4,000 N

The pressure in the area of the larger piston, A₁ = 2 × The pressure in the smaller piston, A₂

∴ A₁ = 2 × A₂

We have;

[tex]\dfrac{A_1}{A_2} = \dfrac{2\cdot A_2 }{A_2} =2 = \dfrac{F_1}{F_2}[/tex]

F₁ = 2·F₂ = 2 × 4,000 N = 8,000 N

F₁·d₁ = F₂·d₂

∴ 8,000 N ×d₁ = 4,000 N × d₂

d₁ = 1/2·d₂

∴ The distance moved by the train is half the distance moved by the force

Answer:

acceleration due to gravity: -9.8 m/s^2

Fg=mass of object*(-9.8)

Explanation:

This is a pretty vague question, but I'll answer as best I can.

All matter has gravity. YOU have gravity, although your gravitational pull is small. So, the force of attraction between the Earth and an object on Earth is modeled as

Force of gravity=(Gravitational constant*mass of object 1*mass of object  2)/distance between objects squared

Note that distance between an object on Earth and Earth is the radius of Earth (distance to Earth's core/center of mass)

Answer:

given Power= 5.6×1000=5600watt

t=20min=20×60=1200sec. work done=?

P=w/t

w=pt=5600×1200=672×10^4Joule

The amount of work done by the motor is equal to 6.72 Megajoules.

Given the following data:

Conversion:

To determine the amount of work done by the motor:

Mathematically, the work done by an object with respect to power and time is given by the formula:

[tex]Work\;done = power \times time[/tex]

Substituting the given parameters into the formula, we have;

[tex]Work\;done = 5600 \times 1200[/tex]

Work done = 6,720,000 Joules

Note: 1,000,000 Joules = 1 Megajoules.

Work done = 6.72 Megajoules.

Read more on work done here: https://brainly.com/question/13818347

Answer:

The electrons

Explanation:

Answer:

not enough

Explanation:

information given

Answer:

Sample Response: In the lab, I discovered the air pressure, air temperature, and relative humidity conditions that create snow, rain, thunderstorms, fog, and clear skies. I learned that low-pressure areas usually experience snowy, rainy, and stormy weather, and that high-pressure areas usually experience either foggy or sunny weather. Knowing how these atmospheric conditions influence weather help weather forecasters predict weather patterns through maps and other information.

(Sorry this was not fast enough )

Answer:

326 kg

Explanation:

m=f/a

3000/9.2=326 kg

Answer:

[tex] \boxed { \tt{gravitational \: pull(force)}}[/tex]