The weight of passengers on a roller coaster increases by 53% as the car goes through a dip with a 33m radius of curvature.What is the car's speed at the bottom of the dip?

Answers

Answer 1

The speed of the car at the bottom of the dip is approximately 18.0 m/s.

To solve this problem, we can use the formula for centripetal force:

F = m*v^2 / r

where F is the centripetal force, m is the mass of the roller coaster car and passengers, v is the speed of the car, and r is the radius of curvature.

We know that the weight of the passengers increases by 53%, which means their mass also increases by 53%. Let's say the original mass of the car and passengers is m0, then the new mass is:

m = m0 * 1.53

We also know that the radius of curvature is 33m. So we can rewrite the formula as:

F = m0 * 1.53 * v^2 / 33

Now we need to find the speed of the car at the bottom of the dip. At this point, the centripetal force is equal to the weight of the car and passengers, which we can calculate using their increased mass:

F = m * g

where g is the acceleration due to gravity (9.81 m/s^2).

Putting these equations together, we get:

m0 * 1.53 * v^2 / 33 = m * g

Substituting m = m0 * 1.53, we get:

m0 * 1.53 * v^2 / 33 = m0 * 1.53 * g

Simplifying, we get:

v^2 = 33 * g

Taking the square root, we get:

v = sqrt(33 * g)

Plugging in g = 9.81 m/s^2, we get:

v = sqrt(323.93) ≈ 18.0 m/s

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Related Questions

A 80.0 kg person on rollerblades pushes against a 700. Kg box on wheels with a force of 50.0 N and they roll away from each other. The person accelerates to the left and the box accelerates to the right.

Answers

Answer:

 person a₁ = -0.625 m / s², box a₂ = 0.0714 m / s²

Explanation:

In this exercise we have a problem of action and reaction forces, the force with which the person (action) pushes the box is of the same magnitude as the force with which the box (reaction) pushes the person, but in the opposite direction.

We work that body separately

Person

           -F = m₁ a₁

             a₁ = -F / m₁

             a₁ = -50.0 / 80.0

             a₁ = -0.625 m / s²

the negative sign means that the person moves away from the box

Box

            F = m₂ a₂

            a₂ = F / m₂

            a₂ = 50.0 / 700

            a₂ = 0.0714 m / s²

Mr. Rosa sees a random flying object headed towards his student’s face. He sprints at 13 m/s in 2 seconds. How fast did Mr. Rosa accelerate to save his student?
What is your known?
What is your unknown?
Plug it in.
What is your answer?

Answers

Answer:

13m/s

Explanation:

actually the answer is already given the thing which is not given is the distance which is 26 m which Mr Rosa walked it in 2 secs

hope it helps you

please mark me as brainlist

if a town was 90 miles away and you travel at 45 mph how long would it take to get there

Answers

Answer:

t = 2 hours

Explanation:

Given that,

Distance of the town, d = 90 miles

Speed, v = 45 mph

We need to find the time to get there. The speed of an object is given by :

[tex]v=\dfrac{d}{t}[/tex]

Where

t is time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{90}{45}\\\\t=2\ h[/tex]

So, the required time is 2 hours.

Can somebody plz help me with this one the question is in the screen shot.

Answers

this is in order.

LANDFILL

GROUNDWATER

PESTICIDE

FERTILIZER

HAZARDOUS WASTE

SEPTIC SYSTEM

SEEPAGE

4. Find the valency of atoms of chlorine, sulphur and magnesium.​

Answers

Answer:

1. Chlorine = 7 valence electrons.

2. Sulphur = 6 valence electrons.

3. Magnesium = 2 valence electrons.

Explanation:

In Chemistry, valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.

1. Chlorine = it is an element found in group (7) of the periodic table known as halogens and as such it has 7 electrons in its outermost shell. Therefore, Chlorine has seven (7) valence electrons.

Sulphur = this element is found in group (6) of the periodic table and as such it has 6 electrons in its outermost shell. Therefore, Sulphur has six (6) valence electrons.

Magnesium = this element is found in group (2) of the periodic table and as such it has 2 electrons in its outermost shell. Therefore, Magnesium has two (2) valence electrons.

Why can’t the high-quality energy released from a lump of burning coal be recycled?

Answers

Answer:

when energy changes from one form to another, it always goes from a more useful to a less useful form. This means that people can't recycle or reuse high quality energy to perform useful work.

When energy changes from one form to another, it always transitions from a more helpful to a less useful one. Because of this, people are unable to reuse or recycle high-quality energy to complete crucial tasks.

What is the term of burning coal?

Coal is most frequently and significantly used in combustion, where heat is produced to create steam, which in turn powers the turbines that generate electricity. All living things, including humans, are composed of carbon. However, as coal burns, its oxygen reacts with airborne oxygen to generate carbon dioxide. Although dioxide (CO2) is an odourless, colourless gas, it is one of numerous gases found in the atmosphere that can retain the heat from the planet.

Why is burning coal a problem?

It's a major issue for climate change since it produces more carbon dioxide when burned than oil or gas. In addition to producing microscopic soot particles and hazardous substances like arsenic and mercury, coal also contributes to air pollution.

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do you weigh yourself regularly?what the things you do to adjust if your weight starts to slip upward or downward?​

Answers

Answer:

start a healthy diet. But starting a healthy diet doesn't mean only eating greens, you should minimize the amount of regular food you take and eat a balanced diet.

Weight is the measure of the mass of the body. Mass is the amount of matter a body contains.

Personally, I do weigh myself regularly in order to determine the action to take if the weight either slips upward or downwards.

If the weight slips upward, what I do is to reduce the amount of calorie intake and also exercise. Reduction in calorie intake and regular exercise can drastically reduce the weight of a body considerably.

If otherwise, I ensure I regularly consume a balanced diet and energy-giving foods.

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Which type of protist is animal AND plant like?

Answers

Answer:

Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.

Explanation:

convex mirror is used as a rear view mirror in vehicles why give reasons

Answers

Answer: We prefer a convex mirror as a rear-view mirror in vehicles because it gives a wider field of view, which allows the driver to see most of the traffic behind him. Convex mirrors always form a virtual, erect, and diminished image of the objects placed in front of it.

True or False:
Sensations of heaviness and lightness are always associated with changes in a person's weight. A person who feels light has lost weight and a person who feels heavy has gained weight.

If False, explain why the statement is false.

If True, explain why the statement is true.

Answers

False, you can feel heavy but not gain weight

It's not true, no. The weight can be used to calculate an object's product of mass, but not gravity. The object's mass is multiplied by gravity, as is evident. However, an object's mass will never be 0 and will always be constant, its weight would be zero if there is no gravity. Since mass and weight are not the same, the assertion is untrue.

What is Weight?

Weight is the gravitational pull of a large second object, thus the Moon or the Earth, at the first object. Weight is a result of the universal law of gravity, according to which any two objects will gravitationally pull one another with a force exactly equal to the applied of their masses and divided by the square of a distance separating them.

Because of this, larger items naturally weigh more when placed in the same spot; yet, the farther any object seems to be from the Earth, the less weight it has.

Because of the tiny difference in size between the polar and equatorial radii of the Earth, an object's weight at the South Pole is somewhat higher than its value at the Equator.

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please help with this question!!

Answers

Answer:

A.9.0 A

Explanation:

This is multiplication then add.

3*2+3=9.0

And that is how we get the answer.

The carbon atom with 12 protons and 12 electrons has a charge of:
a. 1 C
b. +12 C
c. -1 C
d. 0 C
e. -12 C

Answers

Answer:

Isotopes are the elements having the same atomic number i.e same number of protons which in turn is equal to same number of electrons. Number of protons and electrons are equal as the atom is electrically neutral. So, the only option is A.

I hope it helps you !

plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth

Answers

Answer:

a. 1/2 of the radius of earth

Explanation:

g= GM/r²

thus g is inversely proportional to radius

This guy has the correct explanation but is correct. See my comment on the other post!

if anyone has course hero could you send me the Gizmo Fan Cart Physics?

Answers

Answer:

I might be able to help, but I also might not. I need to check if I can get you the answer.

Explanation:

Some one plz help me I am so confused

Answers

Answer:

1. the attractive force that holds atoms or ions together

2. the average distance between the nucleus of two bonded atoms

3. the angle formed by two bonds to the same atom

What would the acceleration of a car be from a stoplight if it started at 0 m/s and reached a
speed of 100 m/s in 7.8 seconds?

Answers

Answer:

The acceleration of a car would be:  [tex]a=12.8[/tex] m/s²

Explanation:

Given

Initial velocity = [tex]v_1=0[/tex] m/s

Final velocity = [tex]v_f=100[/tex] m/s

Time elapsed = [tex]t = 7.8[/tex] s

To determine

We need to determine the acceleration of a car.

We know that acceleration is basically the rate of change in velocity over time.

Thus,

We can determine the acceleration using the formula

[tex]\:\:\:a=\:\frac{v_f-v_i}{t}[/tex]

where

[tex]a[/tex] is the acceleration[tex]v_1[/tex] is the initial velocity[tex]v_f[/tex] is the final velocity[tex]t[/tex] is time elapsed

now substituting the values [tex]v_1=0[/tex],  [tex]v_f=100[/tex], and [tex]t = 7.8[/tex] in the formula

[tex]\:\:\:a=\:\frac{v_f-v_i}{t}[/tex]

[tex]a=\:\frac{100-0}{7.8}[/tex]

[tex]a=\frac{100}{7.8}[/tex]

[tex]a=12.8[/tex] m/s²

Therefore, the acceleration of a car would be:  [tex]a=12.8[/tex] m/s²

an atom has 5 protons, 6 neutrons, and 5 electrons. what is the atomic mass?​

Answers

Answer:

the atomic mass is 11

Explanation:

the atomic mass is basically how many protons and neutrons there are so for this all you have to do is some simple math:

5 + 6 = 11

and boom, ur atomic mass is equal to 11!

Which situation involves kinetic energy being transformed into sound energy?

Answers

Answer:

c

Explanation:

this is because you move ( kinetic energy) your hands and clap the other person's hand, you will definitely hear sound right.

Answer:

c

Explanation:

When they move their hands together their energy transforms to sound energy.

Pls answer quick will mark brainlest and 5 stars

Answers

Answer:A

Explanation:

It’s bigger I am not sure

Answer:

For the first question, the answer is

B. Kettle

After Sophia eats her body breaks down the food to use as an engery source when she runs this is an example of which type of engery conversion

Answers

Answer:

cannibalism

Explanation:

because she is eating her body!

Canabilism as stated above

A soccer player strikes a soccer ball with a force of 550 N. If the player and the ball remain in contact for 0.03 s. What impulse was delivered to the ball by the player?

Answers

Easy my dude.
Impulse (J) is equal to the change in momentum of the ball. It is also equal to Force times Time:
J = Ft
J = (550 N)(0.03 s)
J = 16.5 Ns

Hope this helps! Please press “Thanks!”

Solve this question I don't get it

Answers

Answer:

idek

Explanation:

PLEASE HURRY
What does the investigation of Earth's layers reveal about the history of the
formation of our planet?

Answers

Answer:

there's a center of the earth..and there is every later of it..just like in a movie...it is true

Answer:

The layers of rock at Earth ’s surface contain evidence of the evolutionary processes undergone by these components of the terrestrial environment during the times at which each layer was formed. By studying this rock record from the very beginning, it is thus possible to trace their development and the resultant changes through time.

Your are on a boat on a lake with no current. The lake is full of sharks that will eat you if you put your hands too close to the water, and your paddle has been eaten by those sharks. However, you do have a big bucket of grapefruit in the boat. How will you get to shore? Your answer must reference Newton's third law.

Answers

Answer:

throw the lakes to make a current maybe?

Explanation:

A person does 15 J of work moving a couch 1.3 m. How much force was used?​

Answers

Answer:

11.53 N.

Explanation:

Work = Force * Displacement

W= 15 J

D = 1.3

And now you solve for Force.

15= 1.3F

F= 11.53 N

What are the half lives for uranium-235 and uranium-238?
a.
The half-life of uranium-235 is 713 seconds, the half-life of uranium-238 is 4.5 minutes
c.
The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years
b.
The half-life of uranium-235 is 713 days, the half-life of uranium-238 is 450 days
d.
None of the above

Answers

Answer:

C. The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years

list 10 uses of metals​

Answers

Answer:

Shiny metals such as copper, silver, and gold are often used for decorative arts, jewelry, and coins.

Strong metals such as iron and metal alloys such as stainless steel are used to build structures, ships, and vehicles including cars, trains, and trucks.

Some metals have specific qualities that dictate their use. For example, copper is a good choice for wiring because it is particularly good at conducting electricity. Tungsten is used for the filaments of light bulbs because it glows white-hot without melting.

Nonmetals are plentiful and useful. These are among the most commonly used:

Oxygen, a gas, is absolutely essential to human life. Not only do we breathe it and use it for medical purposes, but we also use it as an important element in combustion.

Sulfur is valued for its medical properties and as an important ingredient in many chemical solutions. Sulfuric acid is an important tool for industry, used in batteries and manufacturing.

Chlorine is a powerful disinfectant. It is used to purify water for drinking and fill swimming pools.

Explanation:

5. Identify the reactants in this chemical equation:
2H3PO4 → HAP20, +H2O

Answers

Answer:

H=Hydrogen, PO4=Phosphate

Explanation:

Reactions are on the left side of arrow and products are on the right side of arrow.

An instant soup is very low in fat and calories but high in sodium. Can this food be labeled “ healthy”?

Answers

Answer:

no

Explanation:

it is not healthy because sodium is not good to our body

No it is not healthy.

The following information should be considered:

The instant soup is the processed food and it have the expire time of about 6 months.If we make the soup homemade than it will be okay for only 1 or 2 foods. Also it is high in sodium.

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Jenny is studying a compound that has two oxygen atoms and one nitrogen atom. Which statement describes the subscripts she will use to write the chemical formula? She will use one 2 as a subscript. She will use one 2 and one 1 as subscripts. She will use one 3 as a subscript. She will use two 2s and one 1 as subscripts.

Answers

Answer:

She will use one 2 as a subscript.

Explanation:

Nitrogen is a chemical element with the symbol "N" and has an atomic number of 7. Thus, it is found in group (5) of the periodic table and as such it has 5 electrons in its outermost shell. Therefore, nitrogen has two (5) valence electrons.

On the other hand, oxygen has an atomic number of 8 and with the symbol "O."

When nitrogen and oxygen react chemically, they produce a compound known as nitrogen dioxide [tex] NO_{2} [/tex]

In this scenario, Jenny is studying a compound that has two oxygen atoms and one nitrogen atom. Therefore, the statement which describes the subscripts she will use to write the chemical formula is, she will use one 2 as a subscript.

[tex] N + O_{2} ------> NO_{2} [/tex]

Where: 2 represents the subscript of oxygen.

Answer:

A- she will use 2 as a subscript

Explanation: because im doing the test rn and i got it right on edg2021

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