A rollercoaster loop has a radius of 22.7 m. what is the minimum speed the coaster must have at the top of the loop to not fall off the track? (unit = m/s)

Answers

Answer 1

Answer:

v = 14.92 m/s

Explanation:

First, make a free body diagram and see the forces in the y-direction.

∑F_y = F_N - F_g

Use Newton's 2nd Law F = ma to replace ∑F_y with m * a_y.

m * a_y = F_N - F_g

The acceleration in the y-direction is the centripetal acceleration, a_c = v^2/r.

m * v^2/r = F_N - mg

The normal force is 0 because this is where the rollercoaster is not falling off the track yet not touching the track.

m * v^2/r = - mg

The masses cancel out.

v^2/r = -g

Solve for v to find the speed of the rollercoaster at the top of the loop.

v^2 = -(-9.81) * r v = √(9.81 * 22.7)v = 14.9227

The minimum speed the coaster must have at the top of the loop to not fall off the track is 14.92 m/s.

A Rollercoaster Loop Has A Radius Of 22.7 M. What Is The Minimum Speed The Coaster Must Have At The Top

Related Questions

What is the wavelength in nm of a light whose first order brightband forms a diffraction angle of 19.0°, and the diffraction grating has 600.0 lines per mm? round to the nearest whole number. nm

Answers

The wavelength of light will be 195.34 nm.

What is wavelength?

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

The wavelength from the diffraction grating formula is found as;

[tex]\rm m \lambda= d sin\theta \\\\ \lambda= \frac{dsin \theta }{m}\\\\ \lambda= \frac{600 \times sin 19^0 }{1} \\\\ \lambda= 195.34\ nm[/tex]

Hence the wavelength of light will be 195.34 nm.

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Answer:543nm

Explanation:

becuase

A solid cylinder with diameter 20cm has an angular velocity of 10m/s and angular momentum of 2kgm^2/s. What is its mass?

Answers

Hi there!

Recall the equation for angular momentum:
[tex]L = I\omega[/tex]

L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)

We know that the Moment of Inertia of a solid cylinder is equivalent to:
[tex]I = \frac{1}{2}MR^2[/tex]

M = mass (kg)
R = radius (m)

Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.

[tex]r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m[/tex]

[tex]I = \frac{1}{2}M(0.1^2) = 0.005 M[/tex]

We can rearrange the equation of angular momentum to solve for mass.

[tex]L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}[/tex]

What are the seasonal changes in the weasel in florida and the weasel in wyoming

Answers

Answer:

The differences between the Florida's weasel and in Wyoming's is that I can see that in Wyoming it has a lot of snow so Wyoming's weasel fur is more thicker than Florida's weasel.

Explanation:

Overmore, in Florida's weasel the weasel's fur is much more less then Wyoming's weasel's fur. Subsequently, their fur color is very different. In Wyoming's weasel fur, it's white fur help them blend in the snow. In Florida's weasel fur, it's brown and help blend in the grass(soil).

Weasels are small animals with long tail. Their diet will change in each seasons and will causes consecutive changes in body weight also.

What is seasonal change?

The changes occurs in a living body or in a material with respect to different seasons is called seasonal changes.Weasels have coats that change from light brown to white in the winter. They are also known as ermines or short-tailed weasels.

In both the spring and the fall, the hue of their bodies changes, starting at their belly and moving outward. Long-tailed weasels and other species may also turn at least partially white.

The hue shift is caused by daylight duration rather than temperature. Weasels may therefore appear dazzling white in the winter against a brown environment before snow begins to fall. This makes them easy prey for larger predators like foxes, martens, and badgers during milder winters.

These little creatures eat a lot. Winter weasels forage often and consume roughly 40% of their body weight each day. Winter weasels have coats that change from light brown to white in the winter.

These pests, which can weigh as little as two ounces, are vicious and may attack prey that is larger than themselves. Weasels have excellent senses and are highly nimble. Because of this, they are difficult to catch and remove, both for humans and for predators.

Weasels are a sign of a healthy population of rodents or other prey on a property in the winter. The pests frequently reserve a portion of their meals for later.

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Infrared, ultraviolet and visible light are all part of the electromagnetic spectrum. The basic difference between them is their.

Answers

Answer:

The basic difference is wavelength (frequency)

ultraviolet < visible < infrared where the visible spectrum lies at

4000 - 7000 Angstroms =  400 - 700 millimicrons (10^-9 meters)

Tjhe shorter wavelengths (ultraviolet) carry more energy / photon

_____ is a measure of how closely packed particles of matter are in certain amount of space​

Answers

I think It’s Density

Sorry If I am wrong

Answer:

Density

Explanation:

The more dense something is, the more packed the particles are. The equation for density is m/v.

What does the area of an acceleration time graph represent?

Answers

The area under the acceleration time graph represents change in velocity


The graph is plotted with acceleration on the vertical axis and time on the horizontal axis. The area under such graph represents change in velocity

The area of an acceleration- time graph represents the change in velocity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The formula for acceleration is;

[tex]\rm a = \frac{v-u}{t}[/tex]

u is the initial speed

v is the final speed

t is the time interval

a is the acceleration of a ball

Hence the area of an acceleration- time graph represents the change in velocity.

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Sigmund freud believed mental disorders were caused when an individual __________. a. recognized personal negative qualities b. masked painful feelings c. buried feelings in the unconscious d. distorted the present reality

Answers

Answer:

C. buried feelings in the unconscious

Explanation:

Hope that helps!

Sigmund Freud believed mental disorders were caused when an individual has buried feelings in the unconscious.

What exactly are mental disorders?

Mental disorders are illnesses that impact your thoughts, feelings, emotions, and behavior.

They might be short-term or long-term. They can have an impact on your capacity to interact with others and operate on a daily basis.

There are several sorts of mental illnesses. Panic disorder, obsessive-compulsive disorder, and phobias are examples of anxiety disorders.

Depression, bipolar illness, and other mood disorders are all examples of mood disorders.,

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Which planets are generally referred to as the ice giants?.

Answers

Answer:

The correct answer is Uranus and Neptune

Which law of Newton explains why it's harder to stop a truck than a car moving at the same speed.

Answers

Answer:

Inertia

Explanation:

Inertia is also the reason that it is harder to stop a loaded truck going 55 miles per hour than to stop a car going 55 miles per hour. The truck has more mass resisting the change of its motion and therefore, more inertia.

What state of matter (solid, liquid or gas) are most metals?

Answers

Answer:

Solid

Most solids are metals

Answer:

solid

Explanation:

Solid is the most common state of matter in most metals at room temperature.

A wave pulse on a spring is 5.40 cm high and oriented upward. This pulse meets another pulse of the same shape which is 1.10 cm high but oriented downward.
At the moment when the two pulses come together, what is the amplitude of the resulting pulse? Note: if the pulse is oriented upward, make its amplitude positive. If it is oriented downward, make its amplitude negative.

Answers

The resulting positive amplitude of the two waves after the superimposition is 4.30 cm.

Amplitude of the waves

The amplitude of the waves is the maximum displacement of the wave. This is the vertical position of the wave measured from the zero origin.

After the superimposition of the two similar waves, the resulting amplitude will be less than the initial amplitude of the wave with the highest vertical height since the superimposition creates destructive interference.

Resulting amplitude of the two waves is calculated as;

A = 5.4 cm - 1.10 cm

A = 4.30 cm

Thus, the resulting positive amplitude of the two waves after the superimposition is 4.30 cm.

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Air in a piston cylinder assembly undergoes a process from state 1 where t1=300k

Answers

For a process where T1 = 300K, P1 = 100 kPa, and where T2 = 500K, P2 = 650 kPa,  the change in entropy is mathematically given as

S1-S2=-0.0288KJ/Kgk

What is the change in entropy between the two states, in kJ/kg-K?

Generally, the equation for the entropy   is mathematically given as

S1-S2=mcp*lnt2-t1-Rlnt2/t1

Therefore

S1-S2=1+1.004*ln(500/300)-0.287*ln(650/100)

S1-S2=-0.0288KJ/Kgk

In conclusion, Entropy

S1-S2=-0.0288KJ/Kgk

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Complete Question

Air in a piston-cylinder assembly undergoes a process from state 1, where T1 = 300K, P1 = 100 kPa, to state 2, where T2 = 500K, P2 = 650 kPa. Using the ideal gas model for air, determine the change in entropy between the two states, in kJ/kg-K

The change in entropy between the two states, in a piston cylinder assembly, undergoes a process from state 1 where t1=300k is 2.36 kJ/kg K.

How to find change in entropy?

The change in entropy can be find out using the following formula,

[tex]S1-S2=s^oT_1-R\ln \dfrac{p_2}{p_1}[/tex]

Here, (p1 and p2) are the pressure at state 1 and 2 and R is the gas constant. The value of R is,

R=(8.314/28.97).

Air in a piston-cylinder assembly undergoes a process from state 1, where T1 = 300 K, p1 = 100 kPa, to state 2. where T2 = 500 K, p2 = 650 kPa.

Put these values,

[tex]S_2-S_1=1.70203_1-\dfrac{8.314}{28.97}\ln \dfrac{10\text { bar}}{1\text { bar}}\\S_2-S_1=2.36\rm\; kJ/kg K[/tex]

Thus, the change in entropy between the two states, in a piston cylinder assembly undergoes a process from state 1 where t1=300k is 2.36 kJ/kg K.

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Sound can't travel through a

Question 4 options:

A. liquid.

B. vacuum.

C. solid.

D. gas.

Answers

B sound cannot travel through empty space which is what a vacuum is considered to be

Answer:

Vacuum

Explanation:

Sound waves can travel through any medium, such as a solid, a liquid, or a gas. However, sound doesn’t travel through a vacuum, which is why sounds can't be heard in outer space.

PF

The Kelvin scale is also know as the absolute zero
TRUE OR FALSE

Answers

The Kelvin scale is also called absolute zero scale

Explanation:

true

A direct current of 3.0 A flows through a circuit consisting of a battery and a 6.0 A resistor. Calculate the potential difference across the resistor. a​

Answers

Question :-

A Direct Current of 3.0 A flows through a Circuit consisting of a Battery and a 6.0 Ohm's Resistor. Calculate the Potential Difference across the Resistor .

Answer :-

Potential Difference is 18 Volt's .

Explanation :-

As per the provided information in the given question, we have been given that the Current of the Device is 3.0 Ampere . The Resistance is given as 6.0 Ohm's . And, we have been asked to calculate the Potential Difference .

As we know ,

V = I R

Where ,

V denotes to Potential DifferenceI denotes to CurrentR denotes to Resistance

Therefore , by Substituting the given values in the above Formula :-

[tex] \sf {\dag \: \: \: Potential \: Difference \: = \: Current \: \times \: Resistance} [/tex]

[tex] \sf {\Longrightarrow \: \: \: \sf Potential \: Difference \: = \: 3.0 \: \times \: 6.0} [/tex]

[tex] \sf {\Longrightarrow \: \: \: \sf Potential \: Difference \: = \: 3 \: \times \: 6} [/tex]

[tex] \bf {\Longrightarrow \: \: \: \bf {Potential \: Difference \: = \: 18 \: }} [/tex]

Hence :-

Potential Difference = 18 Volt's .

[tex] \underline {\rule {210pt}{4pt}} [/tex]

Additional Information :-

[tex] \Longrightarrow \: \: \: \sf {Voltage \: = \: Current \: \times \: Resistance} [/tex]

[tex]\Longrightarrow \: \: \: \sf {Current \: = \: \dfrac {Voltage}{Resistance} } [/tex]

[tex]\Longrightarrow \: \: \: \sf {Resistance \: = \: \dfrac {Voltage}{Current} } [/tex]

[tex] \underline {\rule {210pt}{4pt}} [/tex]

Note :-

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1. Why don't you see your reflection in a building made of rough, white stone?

Answers

the light that hits the surface of it is scattered.


Which choice most accurately traces the flow of electrons in the circuit?

this is wrong
Electrons move counterclockwise from side B of the battery to side A of the battery through each lightbulb.​

Answers

Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source is accurate about Electron flow.

What is electron flow?

Electron flow is the current produced by the movement of free electrons moving along a positive terminal; the direction of electron flow is opposite to that of current.

Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source.

Therefore, Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source is accurate about Electron flow.

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to be a social worker, you must have a master’s degree
A.True
B.False

Answers

Answer:

B --  False

Explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

A block of mass 3. 0 kg is hung from a spring, causing it to stretch 12 cm at equilibrium, as shown above. The 3. 0 kg block is then replaced by a 4. 0 kg block, and the new block is released from the position shown above, at which the spring is unstretched. How far will the 4. 0 kg block fall before its direction is reversed?.

Answers

Answer: 32 cm

Explanation:

A 4000 kg freight car moving at 3 km/hr collides and couples with an 8000 kg freight car which is initially at rest. the final speed of the combined cars is

Answers

Answer: 0.28 m/s (1 km/hr)

Explanation:

This is an inelastic conservation of momentum question.

First, convert the speed to m/s: 3 km/hr (1000m/1km)(1hr/3600s) = .83 m/s

Then, Momentum before = Momentum after;

Momentum before = m1v1 + m2v2 = 4000(.83) + 8000(0)

Momentum after: (m1 + m2)v3 → (4000 + 8000)v3

Set these equal: 4000(.83) = 12000v3 and solve to get: v3=.28 m/s :)

2. A spring has a spring constant of 80 N∙m−1. What is the force required to (a) compress the spring by 5 cm and (b) expand the spring by 15 cm?

Please show all your work.

Answers

#a

5cm=0.05m

Force:-

F=-kxF=-80(0.05)F=-4N

#b

15cm=0.15m

Force:-

F=-kxF=-80(0.15)F=-12N

state ohm's law and prove V=ir​

Answers

Answer:

Ohm’s law states that the current flowing through a conductor is directly proportional to the potential difference ( Voltage ) between the terminals of the conductor, provided that, factors such as the temperature of the conductor is kept constant

V = IR, where R is the proportionality constant.

R = resistance (measured in ohms)

V = voltage (measured in volts)

I = current (measured in amps)

Identify the reactions of the citric acid cycle that provide reducing power for the electron‑transport chain

Answers

The reactions of the citric acid cycle that provide reducing power for the electron‑transport chain are as follows:

Conversion of isocitrate to α-ketoglutarateConversion of succinate to fumarateConversion of α-ketoglutarate to succinyl-coA

What is citric acid cycle?

Citric acid cycle also known as kreb cycle is a series of biochemical reactions that involves the synthesis of reduced electron carrier and ATP.

The following steps in the citric acid cycle involves the provision of reducing power for the electron‑transport chain:

Conversion of isocitrate to α-ketoglutarate: Isocitrate is converted to α-ketoglutarate as catalyzed by isocitrate dehydrogenase. Conversion of α-ketoglutarate to succinyl-coA: α-ketoglutarate is converted to succinyl-coA as catalyzed by α-ketoglutarate dehydrogenase.

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The reactions of the citric acid cycle which provide reducing power for the electron‑transport chain are:

Conversion of isocitrate to α-ketoglutarateConversion of α-ketoglutarate to succinyl-coAConversion of succinate to fumarate.

Which citric acid cycle, provide reducing power?

Citric acid cycle, is the tricarboxylic acid cycle (TCA), which is the combination of chemical reaction. This reaction is necessary to produce the energy in aerobic organisms.

The reactions of the citric acid cycle which provide reducing power for the electron‑transport chain are:

Conversion of isocitrate to α-ketoglutarateConversion of α-ketoglutarate to succinyl-coAConversion of succinate to fumarate.

Hence, the option 1,3 and 4 is correct.

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In what type of system is mechanical energy lost to its surroundings?
A. internal

B. external

C. closed

D. open

help.

Answers

Answer:

If you consider systems as internal, external, or open then energy can only be exchanged between systems that are classified as -

(D) open

For instance if you want to classify the work done in lifting a bucket of water from a well, then this is an internal system as opposed to a system where you would have to consider the work done on the earth and its surrounding stars.

2. What would be the effect on your body if you did not have kidneys? Page
112
A. My body would not absorb nutrients.
B. Waste would collect in the blood and become toxic
C. I could not eat gluten
D. Saliva could not be produced

Answers

Answer:

b

Explanation:

the kidney eliminates waste from the blood hence no kidney will result in accumulation of waste

A net constant force of 1500 n gives a toy rocket an acceleration of 2. 5 m/������ 2. What is the mass of the rocket?

Answers

Answer:

600Kg

Explanation:

Force= mass × acceleration

mass= 1500/2.5

600kg

The mass of the rocket will be 600 kg.In the International System of Units (SI), the kilogram is the unit of mass.

What is mass?

Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.

In the International System of Units (SI), the kilogram is the unit of mass.

The given data in the problem is;

The net constant force is, F= 1500 N

The acceleration is,a=2. 5 m/s²

The mass of the rocket is,m=?

[tex]\rm F= mass \times acceleration \\\\ m = \frac{F}{a} \\\\ m= \frac{1500}{2.5}\\\\ m = 600 \ kg[/tex]

Hence the mass of the rocket will be 600 kg.

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HELP Due right now

A 1345-kg car moving east at 15.7m/s is struck by a 1923-kg car moving north. They stick together and move with a velocity of 14.5m / s at theta = 63.5 degrees Was the north-moving car exceeding the 20.1m / s speed limit?​

Answers

Answer:

so here the initial momentum was all in the X direction. This is Equalling the mass. I'm someone multiplied by visa one initial Equalling 1345 kilograms multiplied by 15.7 meters per second. This is Equalling 2.11 times 10 to the fourth kilograms meters per second. Now the car stick together and we can say that the final momentum is Equalling. I'm someone plus himself to multiplied by the final velocity. This is gonna be equal to 1345 kilograms plus 1900 23 kilograms. This is multiplied by 14 0.5 meters per second. And we find that the final month Thomas Equalling 4.74 times 10 to the fourth kilograms meters per second. Now the y component of the final momentum, we can say that he's sub final. Why would be equaling two 4.74 times 10 to the fourth kilograms meters per second? This would be equally rather multiplied by sign of 63.5 degrees. This is Equalling 4.24 times 10 to the fourth kilograms meters per second. By law, of the conservation of momentum. We can say that the Y component of the final momentum equals the why component of the initial momentum. This is equaling EMS up to visa to initial and be some to initial is found to be equal to the final. The white component of final momentum divided by the second cars mass and so this would be 4.24 times tend to the fourth kilograms meters per second, divided by M sub 2 1923 kilograms and this is giving us 22.0 meters per second. And of course this is greater than 20 whether 20.1 meters per second. And so we can say that yes, this car is exceeding the speed limit. 

Explanation:

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15. Which of the following describes the law of
conservation of energy?
A. Energy cannot be created or destroyed.
B. Energy can only be released through
transformation.
C. When energy is conserved, it always
changes form.
D. Energy increases when it is transferred
from one object to another.

Answers

Answer:

Energy cannot be created or destroyed (it can only change forms).

Explanation:

This is the definition of the law of conservation of energy.

Please help, question is the picture.

Answers

Answer:

Mirror angle:

25°

50°

Angle of incidence (θi):

25°

50°

Angle of reflection (θr)

25°

50°

Explanation:

The mirror angle is the same as the angles of incidence and reflection.

Brainlist Pls!

What is the Earth’s atmosphere composed of, and why is it important?

Answers

Answer:

i hope this helps you have a good day i hope you get an 100% on you quiz!

Explanation:

The atmosphere is a mixture of nitrogen (78%), oxygen (21%), and other gases (1%) that surrounds Earth. High above the planet, the atmosphere becomes thinner until it gradually reaches space. The atmosphere is an important part of what makes Earth livable.

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