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

What is elastic potential energy and give and a example

Answers

Answer:

Many objects are designed specifically to store elastic potential energy, for example: The coil spring of a wind-up clock. An archer's stretched bow. A bent diving board, just before a divers jump

Explanation:

Answer:

Elastic Potential Energy is stored in elastic items.

A example of Elastic Potential Energy is a rubber band. When you stretch it, and it shoots off your finger. Where the rubber band gives off Elastic Potential Energy, is when you stretch it on your fingers, before you let it go.

define principle of lever​

Answers

Answer:

pull to activate something

Explanation:

5.0 kg, with a bullet of mass 0.1 kg. The target was mounted on
low-friction wheels and as the bullet struck the target, the target with
bullet embedded bullet sped off with a velocity of 6.0 ms.
Calculate the velocity of the bullet just before it hit the stationary
target.

Answers

Answer:

306 m/s

Explanation:

Law of conservation of momentum

m1v1 + m2v2 = (m1+m2)vf

m1 is the bullet's mass so it is 0.1 kg

v1 is what we're trying to solve

m2 is the target's mass so it is 5.0 kg

v2 is the targets velocity, and since it was stationary, its velocity is zero

vf is the velocity after the target is struck by the bullet, so it is 6.0 m/s

plugging in, we get

(0.1 kg)(v1) + (5.0 kg)(0 m/s) = (0.1 kg + 5.0 kg)(6.0 m/s)

(0.1)(v1) + 0 = 30.6

(0.1)(v1) = 30.6

v1 = 306 m/s

The initial velocity of the bullet can be determined from the total momentum of the system. The velocity of the bullet was 306 m/s.

What is momentum ?

Momentum of a body is the product of its mass and velocity. For a collision, the momentum before and after collision will be the same for the colliding system.

Let m1 and m2 be the masses and u be the initial velocity and v is the final velocity.

then,  m1 u1  + m2 u2 = m1 v1  + m2 v2.

Given m1 = 5 kg

m2 =  0.1 kg

The velocity of the combined mass v = 6 m/s.

The momentum of the target is zero since it was stationary.

(0.1 × u1) = (0.1 + 5)6 m/s

(0.1 × u1) = 30.6 m/s

then u1 = 30.6/0.1 = 306 m/s

Therefore, the velocity of the bullet before hitting was 306 m/s.

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Calculate the wavelength of a water wave with a speed of 3.0 m/s and frequency of
4.0 Hz.

Answers

Answer:

the answer is 12.0

The wavelength of the water wave is 0.75 meters.

What is wavelength?

Wavelength is the distance between successive peaks or troughs of a wave. It is denoted by the symbol λ (lambda) and is measured in meters (m) or other units of length.

The wavelength of a wave determines its properties such as its energy, frequency, and speed. In general, waves with longer wavelengths have lower frequencies and travel at slower speeds, while waves with shorter wavelengths have higher frequencies and travel at faster speeds.

Here in the Question,

The relationship between the wavelength (λ), frequency (f), and wave speed (v) of a wave is given by the equation:

v = λf

We are given the speed of the water wave (v) as 3.0 m/s and the frequency (f) as 4.0 Hz.

Plugging these values into the equation, we get:

3.0 m/s = λ x 4.0 Hz

Rearranging the equation to solve for the wavelength, we get:

λ = v/f = 3.0 m/s ÷ 4.0 Hz = 0.75 m

λ   = 0.75 m

Therefore, the wavelength of the water wave is 0.75 meters.

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circle the best answer on the line provided.
i. If an object starts to accelerate,
a. a balanced force is acting on it
b. gravity is acting on it
c. velocity is acting on it
d. an unbalanced force is acting on it


Plsss asap ill mark branliest

Answers

i think the answer is c

I AM TIMED !! 30 POINTS Which is the smallest possible particle of an element?
O molecule
O atom
O compound
O matter

Answers

Answer:

atoms

Explanation:

they are the smallest

The correct answer is Atoms!

Can someone help me with these questions pls

Answers

8. ionic bond because lithium is a metal and oxygen is a non metal.

9. covalent bond because sulfur and oxygen are both non metals.

10. covalent

11. ionic

What is the density of an object that has a mass of 54g and a volume of 9 mL

Answers

Answer:

idc

Explanation:

idc

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

I only have 3 minutes left this is my last question

Answers

A is the answer 12000 x 10 =120,000

Which form of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles?

Answers

Answer:

sorry

Explanation:

i don't know this but when i find the answer i will type here

Gamma rays of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles.

What are gamma rays?

A gamma ray, also known as gamma radiation, is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves, typically shorter than those of X-rays.

Moreover, gamma rays are the most harmful external hazard. Beta particles can partially penetrate skin, causing “beta burns”. Alpha particles cannot penetrate intact skin. Gamma and x-rays can pass through a person damaging cells in their path.

Therefore, both x-rays and gamma rays are forms of high-frequency (high-energy) ionizing radiation, which means they have enough energy to remove an electron from (ionize) an atom or molecule. Ionizing radiation can damage the DNA (genes) inside a cell. Sometimes this can lead to cancer later on.

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What is 1.2 x 10^5 in standard form?

Answers

Answer in standard form is 120000

The standard form of the given exponential function is 120000.

By putting the number as a base and the number of repetitions as a little number to its upper right, a representation of repeated multiplications of the same number is known as an exponential form.

It is simpler to write repeated multiplication using base and exponents in the exponential form.

The equation f(x) = aˣ, in which the input variable x appears as an exponent and a as the base, describes an exponential function.

So, the given exponential function is,

1.2 x 10⁵

Here, 10 is the base and 5 is the exponent.

10⁵ = 100000

Therefore, the standard form of the given equation is,

1.2 x 100000 = 120000

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A sledgehammer is an example of what kind of simple machine?
A. Wheel and axle
o
B. Screw
c
C. Wedge
D. Lever
SUS

Answers

I am 95 percent sure the answer in C

Answer: C

Explanation:

How do you find mass in physics

Answers

Density times volume

please watch this video, hope it helps

The velocity of a car increases from 10 km/h to 50 km/h in 5 seconds. What is its acceleration?

Answers

Answer:

2.22m/s^2

Explanation:

Big sound is heard in bathroom than in a living room

Answers

Answer

That doesn't make any sense.

Explanation:

Please kind sir/lady help me with my home work UvU

Answers

yes

Explanation:

the endorsment is successful because Jordan shoe is a imported brand

Why is it important for body cell to have twice and many chromosomes as sex cells?

Answers

Answer:

Why sex cells only need half the number of chromosomes compared to other cells in the body?  As gametes are produced, the number of chromosomes must be reduced by half. Why? The zygote must contain genetic information from the mother and from the father, so the gametes must contain half of the chromosomes found in normal body cells.

Explanation:

Brainliest Plzz

Answer:

During Mitosis, the chromosomes split at G2 Phase.

PLS ANSWER FAST WILL GIVE BRAINLY!!!!

Why does the look of an atom keep changing?

Answers

Answer:Atomic model keep changing because the electrons around the nucleus are not fixed and they keeps rotating or changing their position in valence orbits around the nucleus.

Explanation:

+
1. Energy due to motion is
_______ energy

Answers

Answer:

Kinetic energy

Explanation:

The energy associated with an object's motion is called kinetic energy. A speeding bullet, a walking person, and electromagnetic radiation like light all have kinetic energy.

Kinetic energy. For example, a walking person.

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

PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!
The focus of a parabola is (−6,−3) . The directrix of the parabola is y=4. What is the equation of the parabola?

The focus of a parabola is (0,−4). The directrix of the parabola is the line y=−5. What is the equation of the parabola?

The directrix of a parabola is the line y=7. The focus of the parabola is (2,3). What is the equation of the parabola?

The directrix of a parabola is y=−6. The focus of the parabola is (−2,−4) . What is the equation of the parabola?

Answers

The standard equations of the parabolas are listed below:

y + 6 = - (1/14) · (x + 6)² y = (1/2) · (x + 4.5)² y - 5 = - (1/8) · (x - 2)² y + 5 = (1/4) · (x + 2)²How to determine the standard equation of the parabola

In this question we have four case of parabolas with vertical axes of reference, whose standard formula is:

[tex]y - k = \frac{1}{4\cdot p}\cdot (x-h)^{2}[/tex]     (1)

Where:

(h, k) - The vertex of the parabola.p - Least distance between the vertex and the focus of the parabola.

Please notice that p < 0 when the directrix is above the focus, otherwise p < 0. The vertex is the midpoint of line segment between the directrix and the focus.

Now we proceed to derive the standard equations of the parabola:

1) Vertex:

(h, k) = 0.5 · (- 6, 4) + 0.5 · (- 6, - 3)

(h, k) = (- 6, 0.5)

Least distance:

p = - 3.5

y + 6 = - (1/14) · (x + 6)²

2) Vertex:

(h, k) = 0.5 · (0, - 4) + 0.5 · (0, - 5)

(h, k) = (0, - 4.5)

Least distance:

p = 0.5

y = (1/2) · (x + 4.5)²

3) Vertex:

(h, k) = 0.5 · (2, 3) + 0.5 · (2, 7)

(h, k) = (2, 5)

Least distance:

p = 2

y - 5 = - (1/8) · (x - 2)²

4) Vertex:

(h, k) = 0.5 · (- 2, - 6) + 0.5 · (- 2, - 4)

(h, k) = (- 2, - 5)

Least distance:

p = 1

y + 5 = (1/4) · (x + 2)²

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how could you use Newton's Second Law to study forces?​

Answers

Answer:

F = ma or force is equal to mass times acceleration.

Explanation:

Newton's second law of motion is F = ma, or force is equal to mass times acceleration. Learn how to use the formula to calculate acceleration.
mark brainlist please

An impulse of 12.2kg m/s is delivered to an object whose initial momentum is 4.5kgm/s. What is the object's final momentum?

Answers

Answer:

Object's final momentum = 16.7 kg-m/s

Explanation:

Given that,

Impulse, J = 12.2 kg-m/s

Initial momentum, [tex]P_i=4.5\ kg-m/s[/tex]

We need to find the object's final momentum. We know that the impulse is equal to the change in momentum. So,

Impulse = change in momentum

[tex]J=P_f-P_i\\\\P_f=J+P_i\\\\P_f=12.2+4.5\\\\P_f=16.7\ kg-m/s[/tex]

So, the object's final momentum is 16.7 kg-m/s.

The final momentum of the object will be "16.7 kg-m/s".

Given:

Impulse, [tex]J = 12.2 kg-m/s[/tex]Initial momentum, [tex]P_i = 4.5 \ kg-m/s[/tex]

We know the relation,

→ [tex]Impulse = Change \ in \ momentum[/tex]

or,

→ [tex]J = P_f-P_i[/tex]

then,

→ [tex]P_f = J+P_i[/tex]

By substituting the values,

        [tex]= 12.2+4.5[/tex]

        [tex]= 16.7 \ kg-m/s[/tex]

Thus the above answer is right.      

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Which part of the drum (Instrument)vibrates when it produces sound?

Answers

Answer:

Striking the head of the drum changes its shape and compresses the air inside the shell. the compressed air presses on the bottom head and changes its shape. then these changes are transmitted to the drum shell and reflected back and this action is repeated created a vibration.

Explanation:

Hope this helped Mark BRAINLEST!!!

What is the net force on a refrigerator that you push with an applied force of 125 N to the right and the (sliding) friction between the floor and the fridge is 95 N to the left? (b) As you increase the force applied to the fridge, will the friction force also increase? Explain. Hint: remember the force of friction between solid surfaces does not depend on speed

Answers

Answer:

hola

Explanation:

jffkbjkcvncncjcncjcjchchchcjcjcjcjcjckgmndjekbm hdfstfm mvndbfncn bdhwhgmvmch

PLEASE HELPPPPP!!!!!!!!!

Answers

The answer is 35
The unit is ohms

is solar system a natural system or human-made system​

Answers

Answer:

Natural

Explanation:

Answer:

It's a Natural System

Explanation:

When the Solar System was formed Human didn't even exist. the planets clashed and a lot of changes happened to create earth and different planets.

Determine the increase in volume of 100m3 of mercury when it's temperature change from 10c to 45c the linear expansion coefficient is 6 x 10-5

Answers

Answer:

0.63m

Explanation:

Volume expansivity = change in volume/original volume×temp change

Volume expansivity p = 3x

p = ∆V/V∆t

x is the linear expansivity

Given

x = 6 x 10^-4

p = 3x

p = 3(6 x 10^-5)

p = 18×10^-5

Volume = 100m³

∆t = 45-10 = 35°C

Required

Change in volume ∆V

Substitute the given values into the formula

18×10^-5 = ∆V/100(35)

18×10^-5 =∆V/3500

∆V = 3500×0.00018

∆V = 0.63m

Hence the increase in volume of the Mercury is 0.63n

I can't understand
like which energy changes are involved
which energy it was first and which it was converted into

Answers

Answer:

turtle

Explanation:

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