If a roller-coaster car has 40,000 J of gravitational potential energy when at rest on the top of a hill, how much kinetic energy does it have when it is ½ of the way down the hill?

Answers

Answer 1
Answer:   20,000 J

=============================================

Work Shown:

PE = potential energy

KE = kinetic energy

m = mass

g = acceleration of gravity

h = height of the object

PE = m*g*h = 40,000 joules

---------

If the car is halfway down the hill, then that means the height of the car is h/2 instead of h

We can then say:

m*g*(h/2) = (m*g*h)/2 = (40,000)/2 = 20,000 J

is the amount of potential energy at this location. The amount of kinetic energy must be the remaining amount that adds to this, to get 40,000 J again.

Put another way: The 40,000 J of PE to start off with, when KE = 0, means we have a total energy of 40,000 J

---------

So,

PE+KE = total energy

PE+KE = 40,000 J

20,000 J + KE = 40,000 J

KE = (40,000 J) - (20,000 J)

KE = 20,000 J when the car is halfway down the hill.


Related Questions

Explain why a kangaroo can jump higher as it's speed increases

Answers

Answer:

See explanation

Explanation:

The ability of the Kangaroo to jump higher is due to the stretching of its tendons as its speed increases.

As the tendons are being stretched more and more, the elastic potential energy increases with each increasing stretch.

This elastic potential energy is translated into gravitational potential energy hence the Kangaroo jumps higher as it's speed increases.

The kangaroo can  jump higher as it's speed increases due to the ability of its tendons to stretch more and more.

The jumping of kangaroo can be related with the concept of spring force and spring potential energy. The spring force is given as,

F = kx

And spring elastic potential energy is,

[tex]U=\dfrac{1}{2}kx^{2}[/tex]

In both the cases, k is the spring constant and x is the stretching distance.

When kangaroo try to jump, the tendons provide extra flexibility to jump higher due to the more stretching. Here, the value of x increases. As value of x increases, ultimately more acceleration is provided to increase its speed.

As the tendons are being stretched more and more, the elastic potential energy increases with each increasing stretch.

This elastic potential energy is translated into gravitational potential energy hence the Kangaroo jumps higher as it's speed increases.

Thus, we can conclude that the kangaroo can  jump higher as it's speed increases due to the ability of its tendons to stretch more and more, such that more energy conversion of energy takes place.

Learn more about the elastic potential energy here:

https://brainly.com/question/25029446

Select the correct answer.
What does the number, or density, of field lines on a source charge indicate?
O A.
direction of charge on the source charge
OB.
amount of charge on the test charge
O c.
amount of charge on the source charge
OD.
direction of charge on the test charge
Reset
Next

Answers

Answer:

amount of charge on the source charge

expalin how waves energy and matter are related

Answers

They are related because waves affect matter. Reflection, refraction, and diffraction. Reflection occurs when wave bounces back from a surface that they cannot pass through. Refraction occurs when waves bend as they enter a new medium at an angle and start traveling at a different speed.

You have just learned that the planet core of Mars is no longer radiating heat like the core of Earth. With this information what would you communicate to building designers as the lead geologist in regards to suitable building locations on the surface of Mars? Remember your informing builders about locations that would best avoid natural disasters like marsquakes and volcanoes? What evidence or theories do you have to support your statements?

Answers

Answer:

Explanation:

That is a fun question!

Without a hot radiating core like Earth, Mars will have very different geological and seismic events. The Mars core will be relatively cold and there will not be any molten magma. So Mars will not have earthquakes or volcano activities. Both only occur when there is magma flowing or tectonic plate motion and they will not occur with a cold core.

The switch in a circuit breaker opens when which of the following in the circuit becomes too high?
A) current
B) resistance
C) static charge
D) total charge

Answers

Answer:

b) resistance

Explanation:

since resistance is responsible for heating, if it increases the circuit breaker opens breaking the flow of current to the circuit and thus preventing short circuits.

An alpha particle (charge 2e) is sent at high speed toward an atomic nucleus. The electric force acting on the alpha particle is 79.8 N when it is 2.29 x 10(-14) m away from the nucleus. What is the charge on the atomic nucleus? (e = 1.60 x 10(-19) C, Kc = 9 x 10(9) N•m(2)/c(2)

Answers

Answer:

1.45×10⁻¹⁶ C

Explanation:

Applying,

F = kqq'/r²................ Equation 1

Where F = force acting on the alpha particle, k = coulomb's constant, q = charge on the alpha particle, q' = charge on the atomic nucleus, r = distance of seperation between the alpha particle and the atomic nucleus.

make q' the subject of the equation

q' = Fr²/(kq)................. Equation 2

From the question,

Given: F = 79.8 N, r = 2.29×10⁻¹⁴ m, q = 2e = (2×1.6×10⁻¹⁹) = 3.2×10⁻¹⁹ C, k = 9×10⁹ Nm²/C²

Substitute these values into equation 2

q' = [79.8×(2.29×10⁻¹⁴)²]/(3.2×10⁻¹⁹×9×10⁹)

q' = (4.18×10⁻²⁶)/(2.88×10⁻¹⁰)

q' = 1.45×10⁻¹⁶ C

The voltage drop across any component is
the difference in voltage referenced to
between the two terminals of
the component.

Answers

Answer:

The voltage si the nevery Hokage de Naruto y fue su amigo

I will give more points
for this thank you I u helped
me ​

Answers

Answer:

weight = mass×gravity

15×9.8147N

stay safe healthy and happy.

Explain how frequency and amplitude affect sound vibrations?

Answers

Answer:

The larger the amplitude of the waves, the louder the sound. Pitch (frequency) – shown by the spacing of the waves displayed. The closer together the waves are, the higher the pitch of the sound.

Explanation:

car moves a distance of 420 m. Each tire on the car has a diameter of 42 cm. Which shows how many revolutions each

tire makes as they move that distance?




Plzzzz help asap

Answers

Answer:

10 is the correct answer

Answer:

Total Distance: 420 meters

Diameter: 42 cm

Notice the units meters vs cm

420÷ 42 = 10 total revolutions

A train traveled 100 kilometers north in 2 hours. After exchanging some railroad cars, it traveled 100 kilometers south in 2 hours along the same track. Why has the train's velocity changed

Answers

Answer:Due to change in direction

Explanation:

Given

Initially train has traveled a 100 km in North and after exchanging some railroad cars, it traveled 100 in south.

The velocity of the train changes as it direction of motion changes. Velocity is the vector quantity which require direction and magnitude for its reperesentation.

A bird in flight pushes itself upward with
a 7.28 N force. If the bird is climbing at a
constant rate of 1 m/s (no acceleration),
what is the weight of the bird?
[?] N

Answers

Answer:

The weight of the bird is equal to 7.28 N.

Explanation:

The upward force acting on the bird = 7.28 N

The bird is climbing at a constant rate of 1 m/s.

We need to find the weight of the bird.

We know that the weight of an object is the force of gravity acting on it. It can be calculated as follows :

W = mg

In this case, 7.28 N of force is acting on the object. Hence, the weight of the bird is equal to 7.28 N.

a car moving with a speed of 10 metre per second is accelerator at the rate of 2 metre per second square find its velocity after 6 seconds​

Answers

a = ( v(2) - v(1) ) ÷ ( t(2) - t(1) )

2 = ( v(2) - 10 ) ÷ ( 6 - 0 )

2 × 6 = v(2) - 10

v(2) = 12 + 10

v(2) = 22 m/s

A (200 g) of water at (80 °C) is mixed with (100 g)of water at (20 °C). What is the final temperature of the water?

Answers

Answer:

60 °C

Explanation:

From the question given above, the following data were obtained:

Mass of 1st sample (M₁) = 200 g

Temperature of 1st sample (T₁) = 80 °C

Mass of 2nd sample (M₂) = 100 g

Temperature of 2nd sample (T₂) = 20 °C

Equilibrium temperature (Tₑ) =?

NOTE: Since the sample are the same, the specific heat capacity is constant.

We can obtain the equilibrium temperature as follow:

Heat lost by 1st = heat gained by the 2nd

M₁C(T₁ – Tₑ) = M₂C(Tₑ – T₂)

Cancel out C

M₁(T₁ – Tₑ) = M₂(Tₑ – T₂)

200 (80 – Tₑ) = 100 (Tₑ – 20)

Clear bracket

16000 – 200Tₑ = 100Tₑ – 2000

Collect like terms

16000 + 2000 = 100Tₑ + 200Tₑ

18000 = 300Tₑ

Divide both side by 300

Tₑ = 18000 / 300

Tₑ = 60 °C

Therefore, the equilibrium temperature (i.e the final temperature) of the mixture is 60 °C.


As the wavelength of light decreases,
What happens

Answers

Answer:

Waves. Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light. ... The wavelength decreases as the light enters the medium and the light wave changes direction.

Explanation:

As a wavelength increases in size, its frequency and energy (E) decrease. From these equations you may realize that as the frequency increases, the wavelength gets shorter. ... Mechanical and electromagnetic waves with long wavelengths contain less energy than waves with short wavelengths.

Waves. Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light. ... The wavelength decreases as the light enters the medium and the light wave changes direction.

Write a short narrative from the perspective of a mineral moving through the rock cycle. The mineral must undergo at least four changes.

Answers

Answer: Mineral and non- mineral components circulate in the environment in different forms whether it is in the form of solid, liquid, or gas.

Explanation:

Plants take up the minerals like calcium, potassium, nitrogen, sulphur, and others from the soil and utilize them for their survival and growth. These minerals are stored in the flowers, leaves, roots, and other plant parts and these plant parts are consumed by humans and animals. So, inorganic minerals from the soil are converted into organic forms by the plants again the minerals are decomposed into inorganic forms after the death of organisms and again mineral is converted into inorganic form in the soil and these minerals can become the component of the rocks after the sedimentation of the soil.

help me calculate the kinetic energy (just the middle column) ASAP! SHOW WORK! ON PAPER

Answers

Answer:

Explanation:

I can tell you what the answers for the middle column are, but if you don't know how to solve total energy problems, they won't make any sense to you at all.

First row, KE = 0

Second row, KE = 220500 J

Third row, KE = 183750 J

Fourth row, KE = 205800 J

That's also not paying any attention to significant digits because your velocity only had 1 and that's not enough to do the problem justice. I left all the digits in the answer. Round how your teacher tells you to.

A 20 ohm and 60 ohm light bulb are put in series together which one would be brighter?

Answers

Answer:

The 60 Ohm bulb would be brighter than the 20 Ohm bulb.

Explanation:

Hi there!

Ohm's Law: [tex]V=IR[/tex] where V is voltage, I is current and R is resistance

Power equation: [tex]P=VR[/tex]

The greater the power of a bulb, the brighter it is.

The bulbs are connected in series, meaning the the current travelling through each will be the same. Plug Ohm's law into the power equation so we just have I and R:

[tex]P=I^2R[/tex]

Because the current stays the same, the bulb with greater resistance will have greater power, hence being brighter. Therefore, the 60 Ohm bulb would be brighter than the 20 Ohm bulb.

I hope this helps!

Answer:

The 60 Ohm bulb would be brighter than the 20 Ohm bulb.

Explanation:

Hi there!

Ohm's Law: V=IRV=IR where V is voltage, I is current and R is resistance

Power equation: P=VRP=VR

The greater the power of a bulb, the brighter it is.

The bulbs are connected in series, meaning the the current travelling through each will be the same. Plug Ohm's law into the power equation so we just have I and R:

P=2RP=I

2

R

Because the current stays the same, the bulb with greater resistance will have greater power, hence being brighter. Therefore, the 60 Ohm bulb would be brighter than the 20 Ohm bulb.

I hope this helps!

True or false
scientific research has now proven that atoms are composed of parts that are larger than protons neutrons and electrons

Answers

Answer:

False

Explanation:

parts that are smaller than protons neutrons and electrons

False .......hope this helped you out

What is the equation for density? NO LINKS

d = V/m

d= m + V

d= m x V

d= m/V

Answers

It’s D = m/V

Hope that help!

How many types of galaxies are there?

a. 3

b. 4

c. 5

d. 6

Answers

The answer is 3 elliptical, spiral, and irregular.

can someone please help me answer this question ?

Answers

Answer:

b 60 N force

Explanation:

The change in the momentum is given by the force•distance from the attached point. We don't have any distance, but apparently, the stick forces are being applied in each quarter of the stick, so let's use fractions of 4 to solve it:

150 N:

150•1/4 = 37.5

30 N:

30•2/4 = 30•1/2 = 15

60 N:

60•3/4 = 45

40 N:

40•4/4 = 40•1 = 40

Calcium is combined with Nitrogen in a chemical reaction. The formula of the compound created, Calcium Nitride, is

Answers

Answerrrrrrrrrrrrrrrrrt

Calcium is a 2+ ion which would be written as Ca^2+

Nitrogen is a 3- ion which is written as N^3-

When combined to create Calcium Nitrate it is Ca3N2

See picture:

Light travels through space at a speed of 3.0 x 108 m/s. A space probe is
traveling toward Earth at 2.5 * 108 m/s when one of its spotlights is turned
on. What speed would an observer on Earth measure for the light from the
spotlight?
O A. 2.5 * 108 m/s
O B. 3.0 x 108 m/s
O c. 5.5 x 108 m/s
O D. 0.5 x 108 m/s

Answers

Explanation:

The answer is (B). The speed of light is the same for all observers regardless of their motion relative to the light source.

The speed would an observer on Earth measures for the light from the spotlight will be 3×10⁸ m/sec.

What is speed?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.

The given data in the problem is;

The speed of light is, [tex]\rm C =3 \times 10^8\ m/sec[/tex]

All frames of reference have the same speed of light in a vacuum. Therefore the speed would an observer on Earth measures for the light from the spotlight will be 3×10⁸ m/sec.

Hence option B is correct.

To learn more about the speed refer to the link;

https://brainly.com/question/7359669

Astronomical observatories have been available since ancient times, and many cultures set aside special sites for astronomical observations. The thing modern observatories have that was missing from these older observatories until about 1610 was __________________. Group of answer choices

Answers

Answer:

The answer is "telescopes".

Explanation:

Throughout ancient times, astronomical observatories have indeed been available, and so many historical locations were reserved for astronomical observations. All contemporary astronomers lacked within those older telescopes were lenses until 1610. A telescope is indeed an instrument used to view far-off objects. Telescopes often are being used to look at planets and stars.

why does a child look different to both parents?​

Answers

Answer:

Each parent has a set of genes, and a combination of the genes from the mom and the dad could come together to make the child look totally different.

A child looks different to both parents because children usually look like a "combination" of both their parents. Each parent gives their child their genes.  So a child wouldn't look exactly like one parent.

I'm walking 1.6m/s to 7-11 and it started to rain so I sped up to 2.7m/s in 1.2
seconds. What is my acceleration?
a=(vf-viyt
-0.92m/s2
O 01.1m/s2
0.92m/s2
1.1m/s2
1 points
Save A

Answers

Answer:

Explanation:

[tex]a = \frac{v_f-v_0}{t}[/tex] which is the final velocity minus the initial velocity in the numerator, and the change in time in the denominator.  For us:

[tex]a=\frac{2.7-1.6}{1.2}[/tex] so

a = .92 m/s/s (NOT negative because you're speeding up)

the M.E = K.E + P.E. If the M.E of the football is 150 J and when it's thrown the K.E is 70 J. What is the P.E of the football?

Answers

Answer:

M.E = K.E +P.E

150=70+P.E

P.E=150 –70

P.E=80J

HELP PLEASE
A virtual image is produced by a convex mirror that is 1.60 cm from the mirror. If the magnification is 0.20, how far from the mirror is the object?

Answers

1.80 If I had to guess

The distance of the object from the mirror Is = –8 cm

Calculation of the object distance of a mirror

The image distance from the mirror = –1.60cm

The magnification of the image = 0.20

The distance of the object from the mirror can be calculated using the formula below:

magnification= – image distance/ object distance

Substitute the available values into the equation above,

0.20 = – 1.60/ X

Make X the subject of formula,

X = – 1.60/0.20

X = – 8cm

The negative sign indicates that the image is virtual which is formed behind the mirror.

Therefore, the distance of the object from the mirror Is = –8 cm.

Learn more about mirror equations here:

https://brainly.com/question/26257987

An object of mass m slides down an incline with angle 0.

Which expression
shows the net force on the object along the surface of the incline?

A. mg cos(0) - FN
B. mg cos(0)
C. mg sin(0)
D. mg sin(0) - FN

Answers

Answer:

C. mg sin(θ)

Explanation:

The plane is incline and the only force acting in the object is the gravity, so you multiply mg per sin(θ) because sin(θ) gave you the part of the gravity acting in the horizontal direction parallel with the inclined surface

The expression shows the net force on the object along the surface of the incline is mg sin(θ).  The correct option is C.

What is Net force?

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

An object of mass m slides down an incline with angle (θ).

The plane is incline and the only force acting in the object is the gravity, The weight or gravity acting in the horizontal direction parallel with the inclined surface is  mg sin(θ).

Thus, the correct option is C.

Learn more about net force.

https://brainly.com/question/18031889

#SPJ2

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Circles TestAssume that lines that appear tangent are tangent. Find the value of the variables,208A. a = 40; b=130; c = 70B. a = 36; b=140; c = 70Ca = 20; b=160; C = 90D. a = 40; b=140; c = 90 find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm How allowed Francisco Pizarro to easily conquer the Inca?He purchased the empire with gold and European goods.He tricked the ruler into making him the emperor.His men had superior European weapons.He defeated the empire one village at a time with a large army. Read this excerpt from A Black Hole is NOT a Hole.Now try this tasty thought experiment. Say some friends far outside the black hole decide to send you a snack. If they launch a red apple your way, its invisible to you at first. But keep your eyes peeled! Eventually, the apple shifts from invisible to blue, then to green, yellow, orange, and finally red, as it passes through gravitational zones that are closer and closer to the same strength as yours.Which type of graphical representation would best support a readers understanding of this excerpt?someone watching an apple hurl through spacea picnic basket being launched into spacean apple made up of all the colors mentioneda series of apples in each color mentioned I need help with this asap thank you Reflecting the gender stereotypes of his age group, 4-year-old Youssef is likely to say that:__________A) it is OK for boys to dress up in skirts or jewelry. B) girls cannot be doctors or police officers.C) girls can grow up to be anything they want to be.D) it is OK if boys want to play with dolls. You have just learned that the planet core of Mars is no longer radiating heat like the core of Earth. With this information what would you communicate to building designers as the lead geologist in regards to suitable building locations on the surface of Mars? Remember your informing builders about locations that would best avoid natural disasters like marsquakes and volcanoes? What evidence or theories do you have to support your statements? Which best describes the relationship betweencharacter and conflict in the excerpt? HELP! THIS IS DUE TODAY, and i will mark brainlest! Which function is a translation of the parent absolute value function?A: f(x) = 2/1B. f(x) = |x+61C. f(x) = x1D. f(x) = -4/41 Find the solution by grouping atmosphere is a present around the surface of the earth but it is not present around the surface of the Moon why At the end of December 2013, Rosenfeld Co. had $10,000 of Deferred Tax Assets related to its Allowance for Doubtful Accounts. In response to low public approval ratings (and after a particularly boisterous holiday party), the US Congress passed a law to reduce the Federal Statutory Tax Rate from 35% to 20% on December 31, 2013. As a US company, Rosenfeld had to immediately adjust the balance of its DTAs based on the new law. Which of the following items would be decreased by the entry to adjust the balance in Deferred Tax Assets?a. Income Tax Payable.b. Income Tax Expense.c. Net Income.d. Deferred Tax Assets.e. Cash from Operating Activities. find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees A hybrid offspring of a male lion and a tigress is a _________.Plz answer I will add you as brainlest Graph y = -2 6.could someone graph this on a khan academy number line? An equation with no solutions3x + 7 = X + 3 Pls do it for me thank you so much In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.How many fish are in the Deep Blue tank? Name the disorder and symptoms in the following scenarios and describe the treatment you might suggest and why you think it is appropriate for each of the following scenarios. You can use the template below to help you organize your ideas. Maud is wandering around aimlessly. She often talks to herself. She appears to know no one and when police take her into custody, they cannot find any family. Maud continues to talk with "people" the police can neither see nor hear. She seems suspicious and "rambles on" about different topics.