Please help giving a lot of points- A rollercoaster cart that has a mass of 4500 kg has 67.5 kJ (kilojoules), or 67,500 J (joules), of gravitational potential

energy. What is its height above the ground?


PT.2


The same 4500 kg rollercoaster cart is moving with 63.0 kJ (kilojoules), or 63,000 J (joules), of kinetic energy at the


bottom of its biggest hill. What is its velocity?

Answers

Answer 1

Answer:

(a) h = 1.5 m (b) v = 5.29 m/s

Explanation:

1. Given that,

Mass of a rollercoaster cart, m = 4500 kg

It has 67,500 J of gravitational potential  energy.

We know that, the gravitational potential  energy is given by :

[tex]E=mgh[/tex]

Put all the values,

[tex]h=\dfrac{E}{mg}\\\\h=\dfrac{67500}{4500\times 10}\\\\h=1.5\ m[/tex]

2. The kinetic energy of an object is given by :

[tex]E=\dfrac{1}{2}mv^2\\\\v=\sqrt{\dfrac{2E}{m}}\\\\v=\sqrt{\dfrac{2\times 63000}{4500}}\\\\v=5.29\ m/s[/tex]

Hence, this is the required solution.


Related Questions

Which of the following actions will decrease the gravitational force between two objects?

Increasing the mass of the objects
Increasing the density of the objects
Increasing the distance between the objects
Increasing the temperature of the objects

Answers

Answer:

option 3 increasing the distance between the objects

Note: Plagiarism will be reported
Any Links Or Unrelated Answers Will Be Reported

Explain Newton's Law Of Gravity, and explain how the formula works correctly and combines mathematical arithmetic to figure out gravity.

​​

Answers

Answer:

Explanation:

Newton's Law Of Gravity states two masses will have an attraction force that is proportional to their masses and inversely proportional to the square of their separating distance.

Mathematically it is expressed as Force = G * M1 * M2 / d^2 where

G is the gravitational constant, M1 and M2 are the masses and d is the separating distance.

A cat weighing 7 kg chases a mouse at a speed of 4 m/s. What is the kinetic energy of the cat?

Answers

54J
You calculate kinetic energy by the equation.
KE= 1/2mv^2
m= mass
v= velocity
then we have
KE = 1/2 x 3 x 6^2
KE = 1/2 x 3 x 36 = 54J

If the distance between us and a star is doubled, with everything else remaining the same, the luminosity If the distance between us and a star is doubled, with everything else remaining the same, the luminosity remains the same, but the apparent brightness is decreased by a factor of two. is decreased by a factor of four, but the apparent brightness remains the same. is decreased by a factor of two, and the apparent brightness is decreased by a factor of two. remains the same, but the apparent brightness is decreased by a factor of four. is decreased by a factor of four, and the apparent brightness is decreased by a factor of four.

Answers

Answer:

The luminosity remains the same, but the apparent brightness is decreased by a factor of four.

Explanation:

The apparent brightness, F = L/4πr² where L = luminosity and r = distance between us and the star.

Since L is independent of the distance between us and the star, it is constant, then

F ∝ 1/r²

So, F₁/F₂ = r₂²/r₁² where F₁ = apparent brightness at r₁ and F₂ = apparent brightness at r₂

If the distance is doubled, that is r₂ = 2r₁, then

F₁/F₂ = r₂²/r₁²

F₁/F₂ = (2r₁)²/r₁²

F₁/F₂ = 4r₁²/r₁²

F₁/F₂ = 4

F₂ = F₁/4

So, since the luminosity is constant, the luminosity remains the same, but the apparent brightness is decreased by a factor of four.

Newton’s second law of motion is also known as law of _____

Answers

Newton’s second law of motion can also be knows as the law of acceleration

What was your hypothesis? According to your data, do you think your hypothesis was correct? (Be sure to refer to your data and graph in answering this question.)
Summarize any difficulties or problems you had in performing this experiment that might have affected the results. Describe how you might change the procedure to avoid these problems.
Explain how a graphical analysis can be used to explore the relationship between any two scientific variables.

Answers

Answer:

Present Your Findings Write a summary paragraph discussing this experiment and the results. Use the following questions and topics to help guide the content ...

school homework about multiplying fractions

worth 30 brainly points​

Answers

Answer:

Explanation:

1. [tex]\frac{1}{3}[/tex] x [tex]\frac{6}{7}[/tex] = [tex]\frac{6}{21}[/tex]

          = [tex]\frac{2}{7}[/tex]

b. [tex]\frac{6}{8}[/tex] + [tex]\frac{4}{9}[/tex] = [tex]\frac{24}{72}[/tex]

            = [tex]\frac{1}{3}[/tex]

c. [tex]\frac{10}{15}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{30}{60}[/tex]

            = [tex]\frac{1}{2}[/tex]

d. [tex]\frac{7}{10}[/tex] of [tex]\frac{5}{10}[/tex] = [tex]\frac{7}{10}[/tex] x [tex]\frac{5}{10}[/tex]

                = [tex]\frac{35}{100}[/tex]

                = [tex]\frac{7}{20}[/tex]

e. [tex]\frac{3}{8}[/tex] of [tex]\frac{4}{6}[/tex] = [tex]\frac{3}{8}[/tex] x [tex]\frac{4}{6}[/tex]

            = [tex]\frac{12}{48}[/tex]

            = [tex]\frac{1}{4}[/tex]

f. [tex]\frac{7}{12}[/tex] of [tex]\frac{9}{14}[/tex] = [tex]\frac{7}{12}[/tex] x [tex]\frac{9}{14}[/tex]

              = [tex]\frac{63}{168}[/tex]

              = [tex]\frac{3}{8}[/tex]

2. [tex]\frac{22}{6}[/tex] x [tex]\frac{3}{11}[/tex] = [tex]\frac{66}{66}[/tex]

              = 1

b. [tex]\frac{15}{6}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{60}{30}[/tex]

             = 2

c. [tex]\frac{25}{8}[/tex] x [tex]\frac{4}{10}[/tex] = [tex]\frac{100}{80}[/tex]

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

d. [tex]\frac{33}{12}[/tex] x [tex]\frac{4}{15}[/tex] = [tex]\frac{132}{180}[/tex]

             = [tex]\frac{11}{15}[/tex]

In which of the following situations is the Doppler effect absent?

Answers

The source and the observer are moving towards each other. The observer is moving toward the source. The source is moving away from the observer

What molecule do plants pull from the air and use to make sugar?
A.) Oxygen
B.) Nitrogen
C.) Hydrogen
D.) Carbon Dioxide

Answers

Answer:

D

Explanation:

Hey you said this one would give 100 points.

In a symbiotic relationship,


a. one organism benefits while its host gets nothing in return.
b. bacteria takes food from your stomach, but does nothing for you.
c. both organisms involved benefit or are neutrally affected.
d. your body produces vitamins and then uses them for nutrition

Answers

In a symbiotic relationship, both organisms involved benefit or are neutrally affected. Symbiosis is a close and long-term interaction between two different species.

The term "symbiosis" encompasses mutualism, commensalism, and parasitism. In mutualism, both organisms benefit from the interaction, such as in the case of bees and flowers where bees obtain nectar and pollen while also helping flowers to pollinate.

In commensalism, one organism benefits while the other is neither helped nor harmed, such as remora fish that attach to sharks for transportation and feeding on scraps left by the shark. In parasitism, one organism benefits while the other is harmed, such as ticks that feed on blood from a host animal.

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What is the difference between sounds that have the same pitch and loudness? the standing wave the natural frequency the sound quality the resonance

Answers

Answer:

Sound quality

Explanation:

Loudness refers to the property of sound that depends on the amplitude of the sound wave while pitch is the property of sound that depends on the frequency of the sound wave.

Now, when sounds have the same pitch and loudness, it means they possess the same natural frequency and also, they will have similar resonance and standing waves. Despite all these similarities, the quality of these sounds will tend to vary from one to another.

Answer:

C) the sound quality

Explanation:

I got it right on Edge :D please give the other guy brainliest!!

what is a car doing as it rounds a curve

Answers

Answer:

its direction is changing

The change in momentum (and impulse) are still 3000 N*s. Safety devices (like airbags, seatbelts and crumple zones) cause crashes to take more time to occur. Now the crash takes 1.5 seconds. How much force is exerted on you in this case? *

Answers

Answer:

F = 2000 N

Explanation:

According to Newton's Second Law of Motion, the rate of change of momentum is equal to the force applied. Therefore, the formula written below will be used to solve this problem:

[tex]F = \frac{\Delta P}{t}\\\\[/tex]

where,

F = Force everted = ?

ΔP = Cange in Momentum = 3000 N.s

t = time taken = 1.5 s

Therefore,

[tex]F = \frac{3000\ N.s}{1.5\ s}[/tex]

F = 2000 N

A flower pot with a mass of 1.2 kg is sitting on a ninth story windowsill 30 meters above the ground. How many joules of energy does the flower pot have? Is the energy potential energy or kinetic energy?

Pt.2
USE THE QUESTION ABOVE: The owner of the flower pot gave it to a friend who lived on the second floor of the
apartment building. This person also put it on their windowsill which was 6 meters above the ground? Now how
much gravitational potential energy would the flower pot have now?

Answers

Answer:

(assuming gravity = 10m/s2)

answer for part 1 :

the pot will possess potential energy and not kinetic energy.

the energy which the pot possess is = PE of the pot

PE = mgh = 1.2x 10 x 30 = 360 J

answer for part 2 :

PE = mgh = 1.2 × 10 × 6 = 72 J

Explanation:

the PE of a body is not due to its state of motion, its due to the state of rest of the body. when the body starts moving it possess kinetic energy.

can someone please solve this

Answers

The angular velocity is the ration of the change in the angle turned to time.

Why does the angular velocity increase?

The angular velocity is the ration of the change in the angle turned to time. As such, the angular velocity is measured in radians per second. We have been told that the athlete is supposed to perform the jump between figures 1 and 2 in multiple somersaults.

Each time the athlete somersaults, the angular velocity changes. As such, the rate of change of the angular velocity between figures 1 and 2 would be quite high.

On the other hand, the athlete jumps straight vertically down between figures 2 and 3 and does not turn. Hence, the angular velocity decreases.

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An inactive teen should eat approximately
day.
calories per
1000-1400
1400-1600
1800-2400
3400-3800

Answers

Answer:

so i believe your answer is abt 1800-2400

Explanation:

According to the Dietary Guidelines for Americans 2010, sedentary teen girls between the ages of 13 and 18 need 1,600 to 1,800 calories per day, while active girls require 2,200 to 2,400 calories each day

Which injury stimulates muscle growth? critical injury microtrauma broken bone overuse injury

Answers

Answer: Microtrauma stimulates muscle growth!

Explanation - I hope that helped!

After rubbing the hair on your head with a balloon, you determine there are 2.4 x 1018 electrons on your head. What is the charge, in coulombs (C), of your head?

Answers

Answer:

q = 0.384 C

Explanation:

The total charge present at the head can be easily found out by multiplying the charge on a single electron with the total number of electrons present on the head:

[tex]q = ne[/tex]

where,

q = total charge on head = ?

n = total no. of electrons on the head = 2.4 x 10¹⁸

e = charge on 1 electron = 1.6 x 10⁻¹⁹ C

Therefore,

[tex]q = (2.4\ x\ 10^{18})(1.6\ x\ 10^{-19}\ C)[/tex]

q = 0.384 C

A reaction occurs in which a neutron strikes the nucleus of a uranium-235 atom, forming a krypton-92 atom, a barium-141 atom, and three neutrons. Is this a chemical reaction or a nuclear reaction, and how do you know?
A. This is a nuclear reaction, because the atom's nucleus changed.
B. This is a nuclear reaction, because thorium is a product.
C. This is a chemical reaction, because products formed.
D. This is a chemical reaction, because only the electrons were rearranged.

A P E X

Answers

Answer:

A This is a nuclear reaction, because the atoms nucleus changed.

Find the formula and scientific units of the following:

Speed =

Velocity =

Momentum =

Velocity =

Acceleration =

Force =

Answers

Answer:

speed :m/s

velocity:m/s-¹

acceleration:m/s²

force:kgms-²

Explanation:

I hope May be correct

Speed: It is the rate at which object covers or travelled particular distance or rate at which objects changes its position. S.I. unit for speed is metre per second (m/s).

Speed (s) = distance (d) / time (t)

Velocity: Distance covered by a moving object in a particular direction per unit time. S.I. unit of velocity is m s-1 or m/s.

Velocity (v) = Total displacement (d) / time take(t)

Momentum: It is quanity of motion of the object. S.I. Unit is Kg.m.s-1

Momentum (p) = Mass (m) X Velocity (v)

Acceleration: Rate at which an object velocity changes with respect to time. S.I. unit is metres/second2 (m/s2) Acceleration (a) = Change in velocity/ time taken

Force: When an object changes it position or direction due to external agent. S.I. unit of force is (Kg m/s2).

Force (F) = Mass(m) × Acceleration (a)

To learn more about following terms:

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define the natural fibre​

Answers

Spider webs is natural fiber or what caterpillars use to make they nests

Natural fibers or natural fibres are fibers that are produced by plants, animals, and geological processes. They can be used as a component of composite materials, where the orientation of fibers impacts the properties. Natural fibers can also be matted into sheets to make paper or felt.

A 0.140 kg baseball is thrown with a velocity of 28. m/s It is struck with an average force of 5000.0 N,which results in a velocity of 37.0 m/s in the opposite direction. How long were the bat and ball in contact?

Answers

Check the images.. it has a few different questions and answers! Hope it helps

The speed an
object travels in a
specific
DIRECTION
Is this speed velocity or acceleration

Answers

When you know both the speed and direction of an object’s motion, you know the velocity of an object. speed in a given direction is called velocity
hope this helps :)

Question
A motor generates 950 W of power in 1.5 minutes. How much energy was required to produce the 950 W of power?

Answers

I uploaded the answer t[tex]^{}[/tex]o a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3tZxaCQ

1 state the laws of refraction and define refractive index

2 A beam of light is incident from air to water at an angle of 30°. Find the angle of refraction if the refractive index of water is 4/3​

Answers

Answer:

resiprical 3/412358965

Part C
What is likely to happen to the trees if the trend continues?

Answers

Answer:

The beetles consume the trees as food. So, if the trend continues, it’s likely that the trees will die out in the coming years

Explanation:

I need help with this

Answers

Answer:

1) distance walked = 210 m

2) not sure

3) avg speed = total d/ total t = 210/52 = 4 m/s approx

4) For avg vel, use the formula - displacement/time

Explanation:

im not fully sure but i studied this last year

can you help me answer these two please


2.How did astronomers figure out that the earth is round

Answers

here's only one question

. The organisms shown below live in or near bodies of water. Some are
classified as vertebrates and some as invertebrates.
Which organism is classified as an invertebrate?
A. crab
B. fish
C. manatee

Answers

Answer:

A. crab

Crab is an invertebrate.

A, crabs are invertebrates. Also, this is a biology question.

A 30 kg child is sitting on a swing. Their weight is exerting a downward force on the swing. The ropes are exerting an upward force on the swing. The swing is not moving. What is the net force on the swing?

A.294 N down
B.294 N up
C.0 N
D.30 kg

Answers

B.294 N up is the answers
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