If you are at the top of a hill on a roller coaster at rest and you are able to complete a loop with a radius of 30 m,

a) find the minimum speed to complete the loop (hint: this is a circular motion problem)

b) find the minimum height of the hill to complete the loop

Answers

Answer 1

Answer:

Explanation:

People are wild about amusement parks. Each day, we flock by the millions to the nearest park, paying a sizable hunk of money to wait in long lines for a short 60-second ride on our favorite roller coaster. The thought prompts one to consider what is it about a roller coaster ride that provides such widespread excitement among so many of us and such dreadful fear in the rest? Is our excitement about coasters due to their high speeds? Absolutely not! In fact, it would be foolish to spend so much time and money to ride a selection of roller coasters if it were for reasons of speed. It is more than likely that most of us sustain higher speeds on our ride along the interstate highway on the way to the amusement park than we do once we enter the park. The thrill of roller coasters is not due to their speed, but rather due to their accelerations and to the feelings of weightlessness and weightiness that they produce. Roller coasters thrill us because of their ability to accelerate us downward one moment and upwards the next; leftwards one moment and rightwards the next. Roller coasters are about acceleration; that's what makes them thrilling. And in this part of Lesson 2, we will focus on the centripetal acceleration experienced by riders within the circular-shaped sections of a roller coaster track. These sections include the clothoid loops (that we will approximate as a circle), the sharp 180-degree banked turns, and the small dips and hills found along otherwise straight sections of the track.


Related Questions

A 15 n net force is used to move a 5kg box. What is the resulting acceleration?


A. 15m/s^2

B. 5m/s^2

C. 20m/s^2

D. 3m/s^2

Answers

Answer:3 m/s

Explanation:

The resulting acceleration to move the 5Kg box is equal to 3m/s². Therefore, option (D) s correct.

What is acceleration?

Acceleration can be defined as the rate of change in the velocity of an object with respect to time. The acceleration of an object is a vector parameter with both magnitude and direction. Acceleration is also defined as the first derivative of the velocity w.r.t. time and the second derivative of position w.r.t. time and

According to Newton's 2nd law of motion, the force is equal to the product of the mass (m) and acceleration.

F = ma

And,   a = F/m

Therefore, the acceleration (a) inversely proportional to the mass (m).

Given, the force used to move the box, F = 15 N

The mass of the given Box, m = 5 Kg

The resulting acceleration, a  = 15/5 = 3 m/s²

Therefore, the acceleration of the box is equal to  3 m/s² when it is pushed with a force of 15 N.

Learn more about acceleration, here:

brainly.com/question/3046924

#SPJ5

A person on a daily diet of 2,500 calories should get no_more than
calories from fat each day.

Answers

Answer:

35%

Explanation:

Answer:

its 83

Explanation:

How efficient is a pulley system if it enables you to lift a 700.0 Newton engine (Fr) 0.550 meters (dr) if you exerted 35.7 Newtons (Fe) of force while pulling 11.43 meters (de) of rope?

Answers

Answer:

96.3%

Explanation:

Efficiency = Work input/Work output * 100%

Work done = Force * distance\

Work done by the engine is the work output = 700 * 0.55

Work output = 423.5Nm

Work done by you is the work input = 35.7*11.43

Work input = 408.051Nm

Efficiency = 408.051/423.5 * 100

Efficiency = 0.963 * 100

Efficiency = 96.3%

Hence the efficiency of the pulley system is 96.3%

What happens to waves near the shore?

Answers

Answer As a wave travels across the open ocean, it gains speed. When a wave reaches a shallow coastline, the wave begins to slow down due to the friction caused by the approaching shallow bottom. ... Think of it like driving a car at high speed and then slamming on the breaks. Everything is going to fly to the front.:Waves at the Shoreline: As a wave approaches the shore it slows down from drag on the bottom when water depth is less than half the wavelength (L/2). The waves get closer together and taller. ... Eventually the bottom of the wave slows drastically and the wave topples over as a breaker. hope this helps have a nice night❤️❤️❤️

Explanation:

Which of these would have the highest temperature?
ice
water
water vapor

Answers

Answer:

Water vapor

Explanation:

Water Vapor has the highest temperature, due to its being in a gas state, and gases usually have very high temperatures, for example steam when you boil pasta.

Hope this helps you! Have a nice day!

This image shows layers underground.

Top to bottom: Soil, Clay, Rocks, Granite.

Which layer will become saturated first when rain falls?

clay
granite
rocks
soil

Answers

Answer:

soil

Explanation:

CORRECT

Answer:

soil

Explanation:

Hope this will help

Which natural hazards are most likely to affect Florida, due to its geography? Check all that apply. PLS HELP! I WILL GIVE BEST ANSWER BRAINLIEST! 15 POINT EACH! PLS HELP!

Answers

Answer:

drought, floods, rip currents, tropical cyclones, wildfires

Explanation:

right on edge

Two resistors, A and B, are connected in series to a 6.0 V battery. A voltmeter connected across resistor A measures a potential difference of 4.0 V. When the two resistors are connected in parallel across the 6.0 V battery, the current in B is found to be 2.0 A. Find the resistances of A and B.

Answers

Answer:

Resistance of resistor A = 6.0 Ω and resistance of resistor B = 3.0 Ω

Explanation:

When the two resistors are in series, let V₁ = voltage in resistor A and R₁ = resistance of resistor A and V₂ = voltage in resistor B and R₂ = resistance of resistor B.

Given that V₁ + V₂ = 6.0 V and V₁ = 4.0 V,

V₂ = 6.0 V - V₁ = 6.0 V - 4.0 V = 2.0 V

Also, let the current in series be I.

So, V₁ = IR₁ and V₂ = IR₂

I = V₁/R₁ and I = V₂/R₂

equating both expressions, we have

V₁/R₁ = V₂/R₂

4.0 V/R₁ = 2.0 V/R₂

dividing through by 2.0 V, we have

2/R₁ = 1/R₂

taking the reciprocal, we have

R₂ = R₁/2

R₁ = 2R₂

From the parallel connection, let V₁ = voltage in resistor A and R₁ = resistance of resistor A and V₂ = voltage in resistor B and R₂ = resistance of resistor B. Since it is parallel, V₁ = V₂ = V = 6.0 V

Also, V₂ = I₂R₂ where I₂ = current in resistor B = 2.0 A and R₂ = resistance of resistor B

So, R₂ = V₂/I₂

= 6.0 V/2.0 A

= 3.0 Ω

R₁ = 2R₂

= 2(3.0 Ω)

= 6.0 Ω

So, resistance of resistor A = 6.0 Ω and resistance of resistor B = 3.0 Ω

The resistance of A is while for B is.

Definition of potential difference

Potential difference is the amount of work done in moving a unit charge from one point to another.

When the two resistors are connected in parallel across the 6.0 V battery, the current in B is found to be 2.0 A, hence:

2 * Rb = 6 V

Rb = 3Ω

For the series connection:

I * 3 = (6 - 4)

I = 2/3 A

Hence:

(2/3) * Ra = 4

Ra = 6Ω

The resistance of A is while for B is.

Find out more on potential difference at: https://brainly.com/question/14306881

HELP MEEEEEEEEEEEEEEEEE

Answers

Answer:

I'm pretty sure it's half

Answer:

half

Explanation:

.................................

May you please help me?

Answers

Answer:

The first one is 9 times the original

The second one is 1/2 times

The third one is 1/3 times

calculate the ground pressure of a 90kg gas cylinder the diameter of the cylinder is 1.1 m

Answers

Answer:

P = 928.09 Pa

Explanation:

Given that,

Mass of a gas cylinder, m = 90 kg

The diameter of the cylinder, d = 1.1 m

Radius, r = 0.55 m

We need to find the ground pressure. The pressure is equal to force per unit area. So,

[tex]P=\dfrac{F}{A}\\\\P=\dfrac{mg}{\pi r^2}\ (A\ is\ area\ of\ base)\\\\P=\dfrac{90\times 9.8}{\pi \times (0.55)^2}\\\\P=928.09\ Pa[/tex]

So, the ground pressure is 928.09 Pa.

how do you increase the ideal mechanical advantage of an inclined plane?

Answers

Answer:

The mechanical advantage increases as the slope of the incline decreases. But the load will then have to be moved a greater distance. The ideal mechanical advantage (IMA) of an inclined plane is the length of the incline divided by the vertical rise, the so-called run-to-rise ratio.

Explanation:

PLEASE MARK ME AS BRAINLIEST

how do you find the net force of 225 N

Answers

Answer:

2.65

Explanation:

Its simple just find the newtons

Big sound is heard in bathroom than in a living room

Answers

Answer

That doesn't make any sense.

Explanation:

13 A lawn-mower is pushed with a force of 50 N.
If the angle between the handle of the mower
and the ground is 30°,
(i) Calculate the magnitude of the force that
is pressing the lawn-mower directly into
the ground.
(ii) Calculate the magnitude of the effective
force that moves the mower forward.
(iii) Why does the lawn-mower move forward
and not downward into the ground?​

Answers

Answer:

13. (i) The magnitude of the force that is pressing the lawn-mower directly into the ground is 25 N

(ii) The magnitude of the effective force that moves the mower forward is approximately 43.3 N

(iii) Because there are no net downward force acting on the lawn-mower

Explanation:

13. The given force pushing the lawn-mower = 50 N

The angle at which the force acts = 30° to the ground

The component of the pushing force are;

(i) The magnitude of the force that is pressing the lawn-mower directly into the ground = The vertical component of the pushing force

The vertical component of the pushing force, [tex]F_y[/tex] = 50 N × sin(30°) = 25 N

∴ The magnitude of the force that is pressing the lawn-mower directly into the ground = [tex]F_y[/tex]  = 25 N

(ii) The magnitude of the effective force that moves the mower forward = The horizontal component of the pushing force

The horizontal component of the pushing force, Fₓ = 50 N × cos(30°) = 25·√3 N ≈ 43.3 N

∴ The magnitude of the effective force that moves the mower forward = 25·√3 N  ≈ 43.3 N

(iii) The lawn mower moves forward and not downwards because according to Newton's first Law of motion, the lawn-mower moves forward because it is being acted on by a net forward directed horizontal force

However, according to Newton's third law, the reaction of the ground is equal to the weight of the lawn mower, therefore, there are no net vertical force acting on the lawn-mower, such that the lawn-mower remains in the initial horizontal level and does not move downward into the ground.

6. The transfer of thermal energy by radiation does not require matter.
O True
O False

Answers

Answer:false

Explanation:

How much energy is transferred electrically by a 2000 W cooker in half an hour?

Answers

Responder:

E = 1440 kJ

Explicación:

Se da que,

La potencia de un horno de cocción es de 800 W

El voltaje al que se opera es de 230 V

Tiempo, t = 30 minutos = 1800 segundos

Necesitamos encontrar la energía eléctrica utilizada por el horno de cocción. El producto de la potencia y el tiempo es igual a la energía consumida. Entonces,

It's not transferred, it's consumed (converted into heat).
If the cooker is full on (all the plates at full), then 1kWh. Else it depends on the duty cycle. If a device is rated 2000W, that's the most it can consume, not what it will actually consume in normal use.

An illustration of the major tectonic plates is provided below.
Which of the labeled plates is the North American Plate?
A
Plate A
O
B
Plate B
c
Plate C
Plate D

Answers

Answer:

Plate A

Explanation: It has the continent of North America inside of it.

Answer:

its A

Explanation:Promise I did this rn and got it right

Calculate the pressure exerted by the two straps of a handbag that has a force of 15N, and covers an area of 0.5cm2 (each)

Answers

Answer:

Pressure = 3000N/m²

Explanation:

Given the following data;

Force = 15N

Area = 0.5cm² to meters = 0.5/100 = 0.005m²

To find the pressure;

Pressure = Force/area

Substituting into the equation, we have:

Pressure = 15/0.005

Pressure = 3000N/m²

What is the gravitational potential energy of a 250 kg rock on top of a 200 meter cliff?

Answers

Answer:

500000 approx........

...

how do crumple zones extend the deceleration of a car?

how do crumple zones help redistribute the force of an impact?

Answers

Answer:

Uv rays

Explanation:

ultraviolet rays of the suun gives force

Answer:

what zones

Explanation:

A man drives south to work every
day. If his 55 mile commute
usually takes 0.75 hours, what is
his average velocity?

Answers

The man's average velocity is 73.3 mph (miles per hour).

What is average velocity?

Average velocity is a measure of the rate of displacement of an object in a given direction. It is the total displacement of the object divided by the total time taken to cover that displacement. In other words, it is the distance an object travels divided by the time it takes to travel that distance. Average velocity is an important concept in physics, as it can provide insight into the motion of an object and the forces acting upon it. Average velocity can be calculated using the equation: velocity = displacement/time.

This can be calculated by dividing the distance (55 miles) by the time (0.75 hours). Mathematically, this can be expressed as:

velocity = (distance / time)

velocity = (55 miles / 0.75 hours)

velocity = 73.3 mph

To learn more about average velocity
https://brainly.com/question/28668011
#SPJ1

what equation links charge flow, current and time?
I will award Brainliest if CORRECT!

Answers

Answer:

Q=it

Explanation:

[tex] \purple {\bold {Q = it}} [/tex] is the equation equation that links charge flow, current and time.

Here,

Q = Charge

i = current

t = time

A rock has 750 J of potential energy as it sits on a ledge. If the rock were pushed off the ledge, how much would it have just before it hit the ground?

Answers

Answer:

the 750 j will have potential energy is 375

Explanation:

750/2 is 375

Identify the medium an electromagnetic wave travels the fastest in. ​

Answers

empty space or vaccum the Electro magnetic wave travels the fastest.

A hydrogen atom has a radius of 2.5 x 10-11 m
Determine the radius of a magnesium atom.

Answers

Answer:

[tex]R = 1.5* 10^{-10}m[/tex]

Explanation:

Given

[tex]r = 2.5 * 10^{-11}m[/tex] -- radius of hydrogen atom

See attachment

Required

Determine the radius of magnesium atom (R)

From the attachment, the ratio of a hydrogen atom to a magnesium atom is:

[tex]Ratio = 6mm : 36mm[/tex]

Simplify

[tex]Ratio =1 : 6[/tex]

Represent the radius as ratio:

[tex]Ratio = r : R[/tex]

Substitute [tex]r = 2.5 * 10^{-11}m[/tex]

[tex]Ratio = 2.5 * 10^{-11}m : R[/tex]

Equate both ratios

[tex]2.5 * 10^{-11}m : R = 1 : 6[/tex]

Express as fraction

[tex]\frac{2.5 * 10^{-11}m}{R} = \frac{1}{6}[/tex]

Cross Multiply

[tex]R * 1 = 2.5 * 10^{-11}m * 6[/tex]

[tex]R * 1 = 2.5 * 6* 10^{-11}m[/tex]

[tex]R * 1 = 15* 10^{-11}m[/tex]

[tex]R = 15* 10^{-11}m[/tex]

[tex]R = 1.5*10* 10^{-11}m[/tex]

[tex]R = 1.5* 10^{1-11}m[/tex]

[tex]R = 1.5* 10^{-10}m[/tex]

Hence, the radius of the magnesium atom is: [tex]1.5* 10^{-10}m[/tex]

What is the impulse of a constant force of 50 newtons applied for 0.6 seconds

Answers

Answer:

30 kg·[tex]\frac{m}{s}[/tex]

Explanation:

Impulse is equal to the average force multiplied by the elapsed time, or

J=[tex]F_{av}[/tex]Δt

Your average force [tex]F_{av}[/tex] is 50 newtons because it was a constant force. Your elapsed time Δt was 0.6 seconds.

Multiply these values and you get an impulse of 30 kg·[tex]\frac{m}{s}[/tex]

what hapenes to the wavelength of a wave if the frequency of the wave is increased?​

Answers

Answer: The number of complete wavelengths in a given unit of time is called frequency (f). 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. As the frequency decreases, the wavelength gets longer.

Explanation:

please help me answer this​

Answers

Answer:

A is the correct answer

Hope it helps

A train travels 100 km east and then 75 km west. What is the magnitude of
its displacement?

Answers

Answer:

displacement = 100 - 75 = 25 km east

Other Questions
solve question >> ( - 3x)^2 Read the excerpt below from Chris Jacobs' narrative called Everlasting. As you read, think about how Jacobs creates an effective anecdote.The car ride would have been long for a grown-up. For a first-grader, it was eternity. There were no iPads or even Game Boys back then to hold my focus; all I had was my red Thundercats lunchbox, the occasional emerald highway sign to mark our progress, and a tongue that churned out Whys like a Ford factory line.Why do we have to get up when it's still nighttime? Why am I going to a new school? Why does it have to be so far?Over the course of the first few weeksonce my mom caught on that these questions were actually complaints, her responses lost some of their patience. Though she handled the daily drives with grace, the bluish bags forming under her eyes told a different story: one about her years spent in poorly-funded, inner-city schools, and the doors that would close on her because of them. But I didn't get to hear that story till years later. For now, I just settled into a frustrated six-year-old silence, my attention flitting to the many switches and buttons in her aging '76 Dodge Aspen.On one morning's ride, in an attempt to run defense on my mischief, Mom held up my lunchbox."Listen," she hushed, giving it three good shakes.I gasped, my body snapping to attention. Two shakes would have been enough for me to recognize that sounda deep, delicious clack of candy marbles that could only beyes, yes, they were"Gobstoppers!!" I tore the lunchbox from her hands, pouring its contents onto my lap. "A whole box?!" I squealed.How is this an effective beginning to the story?It tells the main anecdote of the story.It explains why the author is going to a new school.It gives the entire background of the authors childhood.It sets up the importance of Gobstoppers in the story. Find the height of a cone with a diameter of 12 m and whose volume is 133 m.A. 2 mB. 9 mC. 3 mD. 1 m The price of a car was decreased by 9% to 14000. What was the price before the decrease? Give your answer to the nearest penny. Help with hw please Ill give brainliest Olivia realized that there are no quick fixes for broken people. what is the participle Kay is going to do some work in her garden. Her garden is in the shape of a rectangle. Kay thinks she can buy enough paint to cover the decking for less than 65 Is Kay correct? Why would members of the oligarchy be likely to oppose nationalizing industries? Answer in at least five sentences. A country's budget had a surplus of $250 billion in the year 2000. in 2004 , the budget had $447 billion. fund the difference between these amounts This graph shows the number of American farms from 1910 to 1990. What most likely explains this change in the number of farms? Corporations took over smaller farms, and the overall number dropped. Corporations took over smaller farms, and the overall number rose. Farms became less productive, and the overall number dropped. Farms became more productive, and the overall number rose. Please help ASAP Explanation is appreciated! 4. The black triangle was transformed tomake the gray triangle. Which representsthe transformation?A (x, y) + (x + 3, y + 3)B (x, y) (3x, 3y)C (x,y) (x-2, y-2) please help me asap i need it A telephone pole is 54 feet tall. A guy wire runs 79 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.How far is it from the base of the telephone pole to point B where the guy wire is secured to the ground? Round to the nearest tenth of a foot. ft What are the East Asian arts (China, Japan and Korea) inspirations and influences? The "h" in the lateral area formula, L = Ph, stands for I bet help wit this please Which statement about photosynthesis is most accurate?O Chloroplast in plant cells are involved in trapping sun light.O Photosynthesis is a process used by plants to produce and store carbon dioxide.O Chloroplasts in plant cells are involved in trapping oxygen.O Chlorophyll is a brown pigment that gives roots their color. Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of time to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table. Solve7 + X = 2x-53 Steam Workshop Downloader