A roller coaster of mass 2000 kg is rolling down a track with an
instantaneous speed of 10 m/s. The roller coaster has a force of
unknown magnitude act on it, so now it is traveling at only 6
m/s. What was the work done on it?

Answers

Answer 1

Kinetic energy = (1/2) (mass) (speed)²

The coaster's original kinetic energy was

KE = (1/2) (2,000 kg) (10 m/s)²

KE = (1,000 kg) (100 m²/s²)

KE = 100,000 kg-m²/s²

old KE = 100,000 joules

After something slowed it down, its new kinetic energy is

KE = (1/2) (2,000 kg) (6 m/s)²

KE = (1,000 kg) (36 m²/s²)

KE =  36,000 kg-m²/s²

new KE = 36,000 joules

The coaster lost (100,000 - 36,000) = 64,000 joules of KE.

Energy is conserved.  It can't evaporate, disappear, or be destroyed.

That 64,000 joules had to go somewhere.

Someone or something had to do 64,000 joules of work on it in order to slow it down.

Answer 2

The work done by the external force on the roller coaster is 64000 J.

How do you calculate the work done on the roller coaster?

Given that the mass of The roller coaster is 2000 kg and its velocity is 10 m/s. The kinetic energy of the roller coaster is given below.

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

[tex]KE = \dfrac {1}{2}\times 2000\times (10)^2[/tex]

[tex]KE = 100000 \;\rm J[/tex]

Since the roller coaster has a force of unknown magnitude which decreases its speed to 6 m/s. For this decreased speed, the kinetic energy is given as below.

[tex]KE'= \dfrac {1}{2}mv'^2[/tex]

[tex]KE'= \dfrac {1}{2}\times 2000\times 6^2[/tex]

[tex]KE' = 36000\;\rm J[/tex]

The work done on the roller coaster is calculated by the change in the kinetic energy for both speeds.

Work Done = KE - KE'

Work = 100000 - 36000

Work = 64000 J

Hence we can conclude that the work done by the external force on the roller coaster is 64000 J.

To know more about the work, follow the link given below.

https://brainly.com/question/3902440.


Related Questions

The shape of a mineral has to do with
A.
its smell.
B.
its color.
C.
the way its crystals are formed.
D.
how easy it is to scratch.

Answers

Answer:

C is the correct answer

Which sentence best explains the difference between potential energy and
kinetic energy?
A. Potential energy is related to an object's position, and kinetic
energy is related to its motion.
B. Potential energy is related to an object's motion, and kinetic
energy is related to its position.
C. Potential energy is related to an object's position, and kinetic
energy is related to the arrangement of its particles.
O D. Potential energy is related to an object's shape, and kinetic energy
is related to its position.

Answers

Answer:

C. Potential energy is related to an object's position, and kinetic

Explanation:

The energy contained in the small motions of the object's molecules can be broken up into a combination of microscopic kinetic energy and potential energy.

Answer:

c. potential energy is related to an object's position, and kinetic energy is related to its motion

Explanation:

A solid weight 277.5g in air and 212.5g when totally immersed in the liquid of density 0.9 g/cm³.Calculate the density of solid.
help me Asap!!​

Answers

Explanation:

Here is the answer,

Lets be BF

The density of solid is 3.842 g/cm³.

What is Density ?

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.

Density Symbol: D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Weight in air = 277.5Weight in water = 212.5

Displaced Weight = 277.5 - 212.5

                              = 65 gm

Density = 0.9 g/cm³

Mass = 65 gm

Volume = Mass / Density

             

             = 65 / 0.9

             = 72.22 cm³

Now,

Density of Solid = 277.5 / 72.22

                          = 3.842 g/cm³.

         

Hence , The density of solid is 3.842 g/cm³.

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When the velocity of a liquid flowing steadily in a tube increases what happens to the pressure​

Answers

Bernoulli's Principle states that as the speed of a moving fluid increases, the pressure within the fluid decreases. The Bernoulli's Principle explains the behavior of an ideal fluid passing through a pipe or enclosed passageway such a pump.

lonic compounds form because ______ attract.
Plz help I need this now! :)​

Answers

Answer:

I believe it is either Metals or Nonmetals

Explanation:

Hope this helped, Have a Wonderful Day/Night!!

A driver travels 225 miles in 4 hours and 30 minutes. What was his average speed in mph?

Answers

Answer:

195 is it current pls tell

At the first Democratic Party convention of 1860, fifty Southern delegates refused to vote and left the convention. voted to secede from the Union. nominated their own candidate. decided to become Republicans.

Answers

Answer:

A) refused to vote and left the convention.

Explanation:

At the first Democratic Party convention of 1860, fifty Southern delegates refused to vote and left the convention

Answer:

The answer is A

Explanation:

got it right edge 2021

Im so bad at physics pls help I am so close to failing.

Answers

Answer:

the canon would be blasted .4/6 miles bc it s half of 9.8 which shows its signifigant expretion on the decimal point weather its a posative or negative

Explanation:

Hopefully this helped, if not HMU and I will try my best to get u a better answer!

Have a great day! :)

And if ur failing and u need help I can help u, no points needed :)

In many situations, energy is lost to the work done by friction. But the law of conservation of energy says energy cannot be created or destroyed. So where does the "lost" energy go?

Answers

Answer:

Heat energy

Explanation:

The seemingly lost energy due to the work done by friction is lost to heat energy.

When we account for heat energy of the system, it is clearly seen that it is not lost as we perceive it.

The law of conservation of energy also suggests that energy is transformed and neither lost nor created. The work done by friction is transformed into heat energy of the system.

3. When two liquids are mixed and a solid
forms as a reaction, the solid is called a
A. precipitate
B participant
C. percipitate
D. polypeptide
And why ?

Answers

Answer: A; Precipitate

Explanation:

Red: Distance = 3 x Time

Blue: Distance = 2 x Time

A student is asked to predict the time it would take for the blue marble to travel 4 meters. What is the time?

Answers

2 because that’s correct I I I I I I I I I I I I I I I I I I I

A hiker leaves her camp and walks 3.5 km in a direction of 55° south of west to the lake. After a short rest at the lake, she hikes 2.7 km in a direction of 16° east of south to the scenic overlook.

What is the magnitude of the hiker’s resultant displacement? Round your answer to the nearest tenth.

km

What is the direction of the hiker’s resultant displacement? Round your answer to nearest whole degree.

° south of west

Answers

Answer:

The magnitude of the hiker’s resultant displacement is 5.6 km

The direction of the hiker’s resultant displacement is 77 degrees south west! Hope this helps!!!

Energy Calculation 4. What is the gravitational potential energy of an object that has a mass of 100kg it is 10m off of the ground? The gravity on Earth is measured at 9.8N/kg

Answers

100kg * 9.8N/kg * 10m = 9800

The radio waves that travel through the air to our car/truck/home radios are just another type of light. Let's say that your favorite radio station is 87.9 on the FM dial. That means that those radio waves have a frequency of 87.9 MHz. (a) What are the wavelength and energy of those radio waves? (b) How fast would these radio waves travel through water?

Answers

Answer:

Explanation:

(a) Electromagnetic waves travels at the speed of light = 3.0 x [tex]10^{8}[/tex] m/s.

v = fλ

where v is the velocity of the wave, f is the frequency, and λ wavelength.

So that;

λ = [tex]\frac{v}{f}[/tex]

  = [tex]\frac{3.0*10^{8} }{87.9*10^{6} }[/tex]

  = 3.413 m

ii. Enegy of the wave can be determined by;

E = hf

where h is the Planck's constant and f the frequency of the wave.

E = 6.626 x [tex]10^{-34}[/tex] x 87.9 x [tex]10^{6}[/tex]

  = 5.82 x [tex]10^{-26}[/tex] J

(b) Refractive index of water = [tex]\frac{velocity of light in air}{velocity of light in water}[/tex]

velocity of light in water = 1.33 x 3.0 x [tex]10^{8}[/tex]

       = 3.99 x [tex]10^{8}[/tex] m/s

Are three coefficients of expansion alpha bita and gamma universal constant?​

Answers

Answer:

As the temperature increases, the volume of the material also increases. This is known as thermal expansion. It can also be explained as the fractional change in the length or volume per unit change in the temperature.

The relation between alpha, beta, and gamma is given in the form of a ratio and the ratio is 1:2:3 and can be expressed as:

alpha=fracbeta2=fracgamma3

Following is the relation between the three:

L = L (1 + α.ΔT)

Where, α is the coefficient of linear expansion  

A = A (1 + β.ΔT)

Where, β is the coefficient of aerial expansion

V = V (1 + γ.ΔT)

Where, γ is the coefficient of cubical expansion  

V = V + γV.ΔT

V = V (1 + γ.ΔT)  

L3 = L3 (1 + α.ΔT)3

L3 = L3 (1 + 3α.ΔT + 3α2.ΔT2 + α3.ΔT3)

L3 = L3 (1 + 3α.ΔT)

Alpha, beta, and gamma are related to one another in the form of a ratio, and that ratio is 1:2:3, and yes they are universal constants.

What is expansion?

A substance's volume expands while its mass stays constant. Heating is typically the cause of expansion. When a substance is heated, the molecular bonds separating its particles weaken, the particles move more quickly, and the substance expands as a result.

Determine the relation as shown below,

L = L (1 + α × Δ T)

here, α is the coefficient of linear expansion  

A = A (1 + β × Δ T)

here, β is the coefficient of aerial expansion

V = V (1 + γ × Δ T)

here, γ is the coefficient of cubical expansion  

V = V + γ × V × Δ T

V = V (1 + γ × ΔT)  

L3 = L3 (1 + α × Δ T)3

L3 = L3 (1 + 3α × ΔT + 3α2 × ΔT2 + α3 × ΔT3)

L3 = L3 (1 + 3α × Δ T)

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Sa ma ajute cineva va rog mult Ce cantitate de apă poate fi încălzită de la temperatura t 1 = 10 0 C la temperatura finală T 2 = 293, 15 K, dacă i se furnizează căldura de 41850 J ? Se dă căldura specifică a apei : c apă = 4185

Answers

Răspuns:

1000 kg

Explicaţie:

Date date

t1 = 10 ° C

t2 = 293,15K = până la grad = 293,15-273 = 20,15 ° C

= 20 ° C    aproximativ

Q = 418kJ = 418000J

c = 4180J / kg ° C

m =? Kg

Necesar:

Masa m în kg

Pasul doi:

Formulă:

Q = c * m * Δt

Q = c * m * (t2 -t1)

m = Q / c * (t2-t1)

Calculati:

m = 418000/4180 * (20-10)

m = 100 * 10 kg

m = 1000 kg

Kate gathered three boxes of the same size made of different materials: glass, clear plastic, and aluminum painted black. She placed them on a window sill in the sun for an hour and then measured the warmth of the air in each box. In this experiment, the time of an hour is a(n) _____.
A. Dependent Variable
B. Constant
C. Independent Variable
D. Control

Answers

C. Independent variable

I think

In this experiment, the time of an hour is an independent variable, therefore the correct answer is option C

What is thermal energy?

Thermal energy sometimes referred to as heat energy, may be described as the type of energy in which heat is transmitted from one body to another body as a result of their molecular motions.

As given in the problem Kate gathered three boxes of the same size made of different materials: glass, clear plastic, and aluminum painted black. She placed them on a window sill in the sun for an hour and then measured the warmth of the air in each box.

As stated, all three boxes were put on the window for the same amount of time—an hour—so since the time duration for the experiment was the same, it may be considered an independent variable.

Thus, In this experiment, the time of an hour is an independent variable, therefore the correct answer is option C.

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Witch one goes to witch

gas giants and ice giants
asteroids and terrestrial planets
comets and ice giants
meteoroids and asteroids

Bodies composed primarily of frozen gases

Planets composed of lighter elements compounds

bodies composed primarily of metal and rock

Rocky and metallic bodies smaller than planets​

Answers

Asteroids and terrestrial planets - bodies composed primarily of metal and rockComets and ice giants - Bodies composed primarily of frozen gasesGas giants and ice giants - Planets composed of lighter elements compoundsMeteoroids and asteroids - Rocky and metallic bodies smaller than planet

hope it helps!

when is the cats average accelerstion from 12 to 24 seconds

FIRST ONE TO GET IT RIGHT WILL GET 25 POINTS

Answers

Answer:

8

Explanation:

im gonna say 8 because the peak of the line would be at 8 not to sure 0-0

An escalator and an elevator can transport a person from one floor to the next. the escalator does it in 15 s and the elevator takes 10 s. Which does more work on the person? Which has the greater power output?

Answers

Answer:

The escalator does more work and the elevator has a greater power output.

Explanation:

The escalator does more work on the person because it is carrying them up. It also gives the person a chance to walk up the escalator making it a little more challenging than using just an elevator. The elevator has a greater power output because it can transport a person from one floor to another in just 10 seconds where as the escalator can do it in 15.

Hope this helps!

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires. Given youngs modulus of steel = 2×10 ^−11 Pa and that of brass is 0.9×10 ^−11
Pa.​

Answers

Explanation:

hope this will help u

Answer:

I'll take this one also

The diagram shows a sealed container, which
represents a closed system.
How would the system change if the container were
placed on a hot plate?
O Some kinetic energy would be produced.
O Some kinetic energy would be destroyed.
O The kinetic energy of the molecules would increase.
O The kinetic energy of the molecules would decrease.
Molecules

Answers

Answer:

The kinetic energy of the molecules would increase.

Explanation:

Answer:

C. The kinetic energy of the molecules would increase.

Explanation:

On Edge 2021

A block of mass 3 kg slides along a horizontal surface that has negligible friction except for one section, as shown above. The block arrives at the rough section with a speed of 5 m/s and leaves it 0.5 s later with a speed of 3 m/s.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value  is [tex]F_f = 3 * -4[/tex]

Explanation:

From the question we are told that  

  The mass of the block is  [tex]m = 3 \ kg[/tex]

  The initial speed of the block before entering the rough section is [tex]u = 5 \ m/s[/tex]

  The time taken is  t = 0.5 s

   The  speed with which the block leaves the rough section is  [tex]v = 3 \ m/s[/tex]

Generally from kinematic equation

      [tex]v = u + at[/tex]

=>   [tex]a = \frac{v - u }{t}[/tex]

=>   [tex]a = \frac{3 - 5 }{0.5}[/tex]

=>   [tex]a = - 4[/tex]

Generally the magnitude of the average frictional  force is mathematically represented as

      [tex]F_f = m * a[/tex]

=>  [tex]F_f = 3 * -4[/tex]

=>    [tex]F_f = -12 \ N[/tex]

The negative sign show that the force is acting in the opposite direction to the direction of motion of the block

The frictional force between the block and the horizontal surface is 12.1 N.

The given parameters;

mass of the block, m = 3 kginitial speed of block, u = 5 m/stime of motion, t = 0.5 sfinal speed, v = 3 m/s

The acceleration of the block is calculated as follows;

[tex]a = \frac{\Delta v}{t} \\\\a = \frac{5- 3}{0.5} \\\\a = 4 \ m/s^2[/tex]

The coefficient of friction between the block and the horizontal surface is calculated as;

[tex]\mu_k = \frac{a}{g} \\\\\mu_k = \frac{4}{9.8} \\\\\mu_k = 0.41[/tex]

The frictional force between the block and the horizontal surface is calculated as follows;

[tex]F_f = \mu_k F_n\\\\F_f = \mu_k mg\\\\F_f = 0.41 \times 3 \times 9.8\\\\F_f = 12 .1 \ N[/tex]

Thus, the frictional force between the block and the horizontal surface is 12.1 N.

"Your question is not complete, it seems to be missing the following information;"

A block of mass 3 kg slides along a horizontal surface that has negligible friction except for one section, as shown above. The block arrives at the rough section with a speed of 5 m/s and leaves it 0.5 s later with a speed of 3 m/s. What is the magnitude of the average frictional force exerted on the block by the rough section of the surface?

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Earth's ________ is the pattern of slow changes in rocks from one kind to another.

a
rock cycle
b
rock
c
mineral
d
weat

Answers

I believe its a) rock cycle


Explanation:

Answer:

A. Rock cycle

Explanation:

Because it really is the change of a rock from another, like ingenuous, sedimentary rock..

A student is cooking macaroni and cheese for dinner. The student places a pot on the stove, boils water in the pot, places noodles in the boiling water, and watches the noodles float and sink in the pot. Explain the types of heat transfer that are occurring as the student cooks the noodles.

Answers

Answer:

Conduction.

Convection.

Radiation.

Convection, because convection causes the tendency of hotter and therefore less dense materials to rise. Conduction, because the heat is being transferred directly from the heated water to he noodles, and radiation, because the heat is being radiated from the burner on the stove to the pot and subsequently heating up the water.

A man pushes a box along a flat, frictionless surface using a force of 500 N. The box was moved a distance of 2.5 m. The actual work done by the worker was _____

Answers

Answer:

Workdone = 1250Nm

Explanation:

Given the following data;

Force, F = 500N

Distance, d = 2.5m

Workdone is given by the formula;

[tex] Workdone = force * distance[/tex]

Substituting into the equation, we have

[tex] Workdone = 500 * 2.5 [/tex]  

Workdone = 1250Nm

Therefore, the actual work done by the worker is 1250 Newton-meter.

The actual work done by the worker is 1250 J.

Work can be defined as the product of force and distance. The s.i unit of work is Joules

The formula of work is

W = Fd....................... Equation 1

Where W = work done by the worker, F = Force, d = distance.

From the question,

Given: F = 500 N, d =  2.5 m

Substitute these values into equation 1

W = 500×2.5

W = 1250 J

Hence, the actual work done by the worker is 1250 J

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Un automóvil deportivo se mueve a rapidez constante viaja 110m en 5.0s si entonces frena y llega a detenerse en 4.0s ¿Cuál es su aceleración en m/s²?

Answers

Answer:

La aceleración del automovil antes de deternerse es -5.5 m/s².

Explanation:

Podemos encontar la aceleración del auto usando la siguiente ecuación:

[tex] v_{f} = v_{0} + at [/tex]

En donde:

[tex]v_{f}[/tex]: es la velocidad final = 0 (se detiene)

[tex]v_{f}[/tex]: es la velocidad inicial

a: es la aceleración=?

t: es el tiempo = 4.0 s

Primero debemos encontrar la velocidad inicial, para ellos usaremos la siguiente ecuación de moviemiento rectilíneo uniforme:

[tex] v_{0} = \frac{x}{t} = \frac{110 m}{5.0 s} = 22 m/s [/tex]

Ahora, la aceleración es:

[tex] a = \frac{v_{f} - v_{0}}{t} = \frac{0 - 22 m/s}{4.0 s} = -5.5 m/s^{2} [/tex]

El signo negativo se debe a que el auto está desacelerando.

Entonces, la aceleración del automovil antes de deternerse es -5.5 m/s².

Espero que te sea de utilidad!                          

A sumo wrestler is 330 pounds. How much force does the earth exert in him? Define Mass Define Weight

Answers

Answer:

a large matters of body with no shape is mass

wavelength of the wave if its frequency is 12.0 hertz and its speed is 1.2 meters per second?

Answers

Answer:

0.1m

Explanation:

Given parameters:

Frequency  = 12hz

Speed  = 1.2m/s

Unknown:

Wavelength of the wave  = ?

Solution:

The wavelength of the wave can be derived using the expression below;

      V  = f∧

V is the speed of the wave

f is the frequency of the wave

∧ is the wavelength

 So;

         ∧  = [tex]\frac{Velocity}{frequency}[/tex]

Now, insert the parameters and solve;

       ∧   = [tex]\frac{1.2}{12}[/tex]   = 0.1m

what is force?what are the type of force?​

Answers

Answer:

There are 2 types of forces, contact forces and act at a distance force. Forces. Every day you are using forces. Force is basically push and pull. When you push and pull you are applying a force to an object.The Four Fundamental Forces of Nature

Gravity.

The weak force.

Electromagnetism.

The strong force.

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