A 100 kg roller coaster car is located at the top of a hill where the height is 20 m. What is the velocity when it reaches the bottom of the hill? 5.5 m/s 11.2 m/s 16.7 m/s 19.8 m/s

Answers

Answer 1
The correct answer is 19.8 m/s                                                               
Answer 2

Answer:

19.8 m/s

Explanation:

Assuming the car starts from rest, initially when it is at the top of the hill all the mechanical energy of the car is just potential energy, given by:

[tex]U=mgh[/tex]

where

m = 100 kg is the mass

g = 9.8 m/s^2 is the gravitational acceleration

h = 20 m is the height

Substituting,

[tex]U=(100 kg)(9.8 m/s^2)(20 m)=19,600 J[/tex]

At the bottom of the hill, all this energy has been converted into kinetic energy (because energy cannot be created or destroyed, but only transformed). Therefore, the kinetic energy of the car is:

[tex]K=\frac{1}{2}mv^2=19,600 J[/tex]

where

m = 100 kg is the mass of the car

v is the speed of the car at the bottom of the hill

Re-arranging this equation, we can find the value of v:

[tex]v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2(19,600 J)}{100 kg}}=19.8 m/s[/tex]


Related Questions

Select all of the examples of a base.


Vinegar


Baking soda


Lemons


Tomatoes


Bleach


Soap


Bananas


Ammonia

Answers

Ammonia, Bananas, Bleach,
 Tomatoes, Baking Soda are all examples of a base.

Answer:

The following are bases:  baking soda, bleach, soap, and ammonia.

The other items are acidic.

Explanation:

Bases have four different properties. They are bitter, feel slippery, do not react with carbonates, and turn red litmus paper blue.

In comparison, an acid tastes sour, reacts with metal and carbonates, and turns blue litmus paper red.

how high is a 0.5 kg squirrel sitting if it has 36 j of energy

Answers

Assuming potential energy. PE=mgh
7.35 meters above ground

The squirrel is sitting at a height of 7.35 m.

The energy possessed by a body by virtue of its position is called potential energy.

If the squirrel has a mass m and if it sits at a height h then, the potential energy E of the squirrel is given by,

[tex] E=mgh [/tex]

here, g is the acceleration due to gravity.

Given:

[tex] m=0.5 kg;E=36 J [/tex]

Take the value of acceleration due to gravity [tex] g=9.8 m/s^2 [/tex]

Rewrite the equation for energy in terms of h.

[tex] h=\frac{E}{mg} [/tex]

Substitute the given values and calculate the value of h.

[tex] h=\frac{E}{mg} \\ =\frac{36 J}{(0.5 kg)(9.8 m/s^2)} \\ =7.35 m [/tex]

The squirrel is at a height of 7.35 m

This movement of warmer and cooler mantle rocks creates pockets of circulation within the mantle called _________,

Answers

The answer is convection cells. Hope this helps ;). 


Your brother is insisting that you'll never hear a sound produced behind a barrier wall at the end of your yard. You notice that the door within the wall is open and quickly explain to him that the sound will be able to reach you due to



Answers

Final answer:

Sound waves can reach you behind a barrier wall due to the phenomenon of diffraction, which allows them to bend around obstacles and spread into open areas. This is why sounds, unlike light, are still heard through an open door despite a barrier wall obstructing the direct path.

Explanation:

The sound will be able to reach you even if it is produced behind a barrier wall as a result of diffraction. This is a wave phenomenon where sound waves bend around obstacles and spread into the space beyond an opening, such as a doorway. Diffraction occurs with waves of all kinds when their wavelengths are comparable to the size of the obstacle or opening they are encountering. Since sound waves have wavelengths that are similar to the size of everyday objects, like doors, they exhibit notable diffraction effects compared to light which has much smaller wavelengths and thus diffracts less.

For example, when someone is playing music in a room, the sound waves travel around and fill the entire space, even through openings like doorways. This can lead to varying sound effects within the room, such as the sound appearing dull in some corners due to destructive interference or standing waves and excessively loud in other areas due to constructive interference. It is the bending or diffraction of sound waves that enables these different acoustic experiences within the room.

Final answer:

Sound waves can diffract around obstacles and reach areas that are not directly in their line of sight. This allows you to hear sound produced behind a barrier wall when the doorway is open.

Explanation:

Sound waves have the ability to bend around obstacles, which allows them to reach areas that are not directly in their line of sight. This phenomenon is known as diffraction.

In the scenario you described, the sound waves produced behind the barrier wall will be able to reach you because they can diffract through the open doorway. The wavelength of sound waves is large enough that it allows them to bend around the edge of the doorway and spread out into the yard.

As a result, you will be able to hear the sound produced behind the barrier wall, even though it is not directly in your line of sight.

These are nontoxic, nonflammable chemicals containing atoms of carbon, chlorine, and fluorine that have created a hole in the ozone

Question 1 options:

smog


acid rain


chlorofluorocarbons (CFCs)


EPA

Answers

The correct answer is: Chlorofluorocarbons (CFCs)

Explanation:
In simple words, CFCs are the chemical compounds made up of the following three elements:
1. Carbon
2. Chlorine
3. Fluorine

When CFCs compounds reach the upper atmosphere, the ultraviolet rays coming from the Sun break those compounds into individual elements, which then react with one of the oxygen atom of the ozone (O3) to form new compounds like chlorine monoxides. That way the ozone molecules get destroyed, resulting into the ozone depletion. Hence, the correct answer is Chlorofluorocarbons (CFCs).

Answer:

The correct answer is option C,  

chlorofluorocarbons (CFCs

Explanation:

The chlorofluorocarbons (CFCs) were being used in air conditioners, aerosol spray cans, and industrial cleaning products since 1960s. These CFCs are inflammable, but once they are into atmosphere they move to the upper stratosphere and there they enter into a never ending chain reaction thereby releasing chlorine . The free chlorine react with ozone and destroy its molecule.

A ball is dropped and falls with an acceleration of 9.8 m/s2 downward. It hits the ground with a velocity of 49 m/s downward. How long did it take the ball to fall to the ground?

Answers

Hey!

NOTE-:

u= initial velocity
v= final velocity
g= acceleration due to gravity
t= time

u= 0
v= 49 m/s
t=?
g= 9.8 m/s^2

Using first equation of motion -

v-u=at
49-0= 9.8×t
49 = 9.8t
49/9.8= t
t= 5 second


Hope it helps...!!!

What primarily makes up Saturns rings?

A. Large rocks
B. Small icy bodies
C. Medium sized moons
D. Fine dust

Answers

Saturn's rings are made out of B. Small icy bodies

Hope this helped ;)

Answer is (B).....sure

How do I find the acceleration in this problem?

Answers

using the formula, F= ma

Resultant force = mass x acceleration

6000-1000 = 2500a
a= 5000/2500
a= 2m/s2

Final answer:

To calculate acceleration, determine the change in velocity and the change in time, then use the formula a = ∆v/∆t where 'a' is acceleration, ∆v is the change in velocity, and ∆t is the change in time.

Explanation:

To find the acceleration in a problem, follow these general steps:

Determine the change in velocity (Δv), which is the difference between the final velocity (Vf) and the initial velocity (Vo).

Identify the change in time (Δt) over which the velocity change occurs.

Use the formula for average acceleration, which is a = Δv/Δt, where 'a' represents the acceleration, Δv is the change in velocity, and Δt is the change in time.

For instance, if a train starts at rest (Vo = 0) and reaches a velocity of 30.0 km/h (Vf) in 20.0 seconds (Δt), convert the velocity to meters per second (since 1 km/h is equal to approximately 0.27778 m/s), calculate Δv, and then divide by Δt to find acceleration.

what type of adaptation helps a living thing hide in its environment

Answers

That would be known as camouflage. Many animals use it, including: iguanas, tigers, lions, spiders, snakes , frogs, panthers, moose, and deer. 

If you have any other questions, just let me know! :)
camouflage helps living creatures hide in their environment (such as the stripes on a tiger to blend in with their surroundings)

Which ordered pair on a distance versus time graph represents a distance of 1 km and a time of 10 minutes? (10,1) (1,10) (1,9) (9,1)

Answers

Answer:

(10,1)

Explanation:

Given: distance of 1 km and time taken 10 minutes.

To Find: Which ordered pair represents a distance of 1 km and a time of 10 minutes in distance time graph.

Solution:

Consider the file attached.

We know that any point in a graph with point [tex]\text{x}_{i}[/tex] on x-axis and [tex]\text{y}_{i}[/tex] on y-axis=[tex](\text{x}_{i},\text{y}_{i})[/tex]

in a distance versus time graph,

Y-axis represents Distance and X-axis represents Time

plotting the points in Distance versus time graph,

distance [tex]1\text{km}[/tex] is plotted on Y-axis

Time [tex]10\text{minutes}[/tex] is plotted on X-axis

from graph,

the ordered pair for distance of [tex]1\text{km}[/tex] and Time [tex]10\text{minutes}[/tex] is represented by [tex](10,1)[/tex].

Which ratio is greater than 5/8

A)12/24

B)3/4

C)15/24

D)4/12

Answers

12/24=4x3/8x3

=4/8

4/8 is not correct ans it is less than 5/8

B) 3/4

multiply and divide it by 2 so the denominator should be equal to 8

3x2/4x2=6/8

6/8 is greater that 5/8 hence b is correct option

C)15/24=5/8 which is equalt to 5/8 hence it is not correct answer

D)4/12=1/3 it is also less than 5/8


What are the features of general adaptation syndrome?
help Guys!!

Answers

ON EDGEN: The three steps in the general adaptation syndrome are alarm, resistance, and exhaustion. Alarm is the fight-or-flight response. Your hormones surge, breathing becomes rapid and shallow, glucose is released, your heart rate increases, and your pupils dilate. The second part is resistance, which includes either fighting, where a stressor is taken head on, or flight, where a stressor is avoided. It includes how your body uses stored energy, hormones, minerals, and glucose to react. The final stage is exhaustion, also known as burn out. After prolonged stress, exhaustion kicks in and the ability to manage stress becomes low. At this point, the system of the body can become compromised due to prolonged exposure to the hormones involved with stress.

The features of general adaptation syndrome (GAS)  are the Alarm stage, Resistance stage, and Exhaustion stage.

What is general adaptation syndrome?

General adaptation syndrome (GAS) is a term coined by Hans Selye, a pioneering researcher in the field of stress, to describe the body's response to stressors.

The general adaptation syndrome consists of three stages:

1. Alarm stage: In this stage, the body recognizes a stressor and responds with the "fight or flight" response. The sympathetic nervous system is activated, which causes an increase in heart rate, respiration, and blood pressure, and a release of stress hormones like adrenaline and cortisol.

2. Resistance stage: If the stressor persists, the body enters the resistance stage. In this stage, the body tries to adapt to the stressor by continuing to release stress hormones and maintain the elevated physiological responses from the alarm stage. The body may also try to repair any damage caused by the stressor during this stage.

3. Exhaustion stage: If the stressor continues for an extended period of time, the body may enter the exhaustion stage. In this stage, the body's resources are depleted, and it may no longer be able to maintain the physiological responses from the resistance stage. This can lead to a variety of physical and mental health problems, including illness, depression, and burnout.

The general adaptation syndrome is a model that explains how the body responds to stressors over time. Understanding this model can help individuals and healthcare professionals to better manage and cope with stress.

Therefore, the three main features of GAS are the Alarm stage, Resistance stage, and Exhaustion stage.

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The ability to regulate the amount of charge flowing in a circuit is

Pennfoster:
(A. resistance.)
B. direct current.
C. alternating current.
(D. voltage.)

Answers

You can think of resistance as a sort of friction. It can limit the flow of charge in a circuit. Hindering the flow allows it to regulate how much current will flow through the device. Resistance is your answer, letter A. 

If you take into account the voltage, although it can also regulate the current by choosing a power source, when you talk about the charge flowing WITHIN the circuit given a specific power source, it is resistance that will temper the flow. 

A ski lift is used to transport people from the base of a hill to the top. If the lift leaves the

base at a velocity of 15.5 m/s and arrives at the top with a final velocity of 0 m/s, what is the height of the hill? Round the answer to the nearest tenth.

 

Answers

The energy of the ski lift at the base is kinetic energy:
[tex]K= \frac{1}{2}mv^2 [/tex]
where m is the mass of the ski lift+the people carried, and [tex]v=15.5 m/s[/tex] is velocity at the base.
As long as the ski lift goes upward, its velocity decreases and its kinetic energy converts into potential energy. Eventually, when it reaches the top, its final velocity is v=0, so no kinetic energy is left and it has all converted into gravitational potential energy, which is 
[tex]U=mgh[/tex]
where [tex]g=9.81 m/s^2[/tex] and h is the height at the top of the hill.

So, since the total energy must conserve, we have
[tex]U=K[/tex]
and so
[tex]mgh = \frac{1}{2}mv^2 [/tex]
from which we find the height:
[tex]h= \frac{v^2}{2g}= \frac{(15.5m/s)^2}{2\cdot 9.81 m/s^2}=12 m [/tex]

Answer:

it's actually 12.3 on Edge!

Explanation:

Which best contrasts an electric generator and an electric motor? In a generator, slip rings function as a solenoid, and in a motor, an armature functions as a solenoid. In a motor, slip rings function as a solenoid, and in a generator, an armature functions as a solenoid. A generator converts electrical energy to kinetic energy, and a motor converts kinetic energy to electrical energy. A generator converts kinetic energy to electrical energy, and a motor converts electrical energy to kinetic energy.

Answers

Answer: (D)

A generator converts kinetic energy to electrical energy, and a motor converts electrical energy to kinetic energy.

Explanation:

Just remember a generator makes electricity, and motors move things therefore creates kinetic energy.

The best contrast between an electric generator and an electric motor is,

A generator converts kinetic energy to electrical energy and a motor converts electrical energy to kinetic energy. The main difference between the two is, that the generator works on the principle of Electromagnetic induction, and the motor works on the principle of the Effect of Magnetic field on a current-carrying coil.

Electromagnetic Induction:Electromagnetic induction is the process of generating electric current with a magnetic field. Whenever a current flowing conductor is passing through lines of force in a magnetic field, electrical energy is generated.In this way a generator converts mechanical energy into electrical energy

Effect of Magnetic field on a current-carrying coil:A force is applied when an electric current is present in a magnetic field. This results in mechanical action.In this way an electric motor converts electrical energy into mechanical energy.

Thus, the best contrast between a generator and an electric motor is the energy conversions. A generator converts mechanical energy into electrical energy and an electric motor converts electrical energy into mechanical energy.

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The unit for measuring the rate at which light energy is radiated from a source is the

A. candela.
B. lumen.
C. lux.
D. Angstrom.

Please explain

Answers

The unit for measuring the rate at which light is radiated from a source is B, Lumen. Lumenous flux is the time rate of the flow of light, or the visible energy produced from a certain light source.  It is the quantitative measure of brilliance of a light source. The unit we use for this is lumen. 

If the velocity of a moving object decreases from 60 m/s to 30 m/s, what happens to its momentum?

Answers

Hello!

momentum is p=mv so if the velocity is decreased by a factor of 2, which is 1/2 the value, then the momentum of that object will decrease by the same factorial.

Hope this helps, any questions please ask. Thank you!

Qualitatively the momentum is the amount of motion contained in the body.

Quantitatively momentum is the product of mass and velocity of the body.

Mathematically momentum= mass×velocity

                                       i.e p=m×v

where p denotes the momentum.

As per the question the initial velocity of the particle is given as [u]=60 m/s

The final velocity of the particle is given as [v]=30 m/s

Let the mass of the particle is m kg

The initial momentum [tex]p_{1} =m*u[/tex]

                                                  =60m kg m/s

the final momentum [tex]p_{2} =m*v[/tex]

                                                   =30m kg m/s

Hence the change in momentum is given as -

                                   [tex]p_{2} -p_{1} =[30m -60m] kg m/s[/tex]

                                                              = -30m kg m/s

Here the minus sign indicates the loss of momentum

Hence the momentum is decreased by twice as the velocity is decreased by twice.

In general if velocity is decreased by m times ,then the momentum is decreased by m times also.


What is the difference between States of matter and phases of matter?

Answers

Answer:

The States of Matter. States of matter are solids, liquids, gasses, and plasma.

Phases of Matter. A phase of matter is uniform with respect to its physical and chemical properties.

Examples. At room temperature and pressure, the state of a piece of dry ice (carbon dioxide)...

Explanation:

a wall switch is connected to a wall outlet. A lamp is plugged into the same outlet. You turn the switch on, but the lamp stays off. Give three reasons why this might happen.

Answers

1:   only half  the outlet is switched  and the lamp is in the  other half
2:  the lamp is turned off.
3:   The  light bulb  is burned out
4:  the switch might be broken
5:   the fuse   might be blown
6: the electricity might be off

A wall switch is connected to a wall outlet. A lamp is plugged into the same outlet. You turn the switch on, but the lamp stays off. Three reasons why this might happen are a Defective bulb, a Faulty switch and Issues with the outlet.

Defective bulb: The lamp's bulb may be burned out, causing it not to light up.

Faulty switch: The wall switch itself may be faulty and not properly completing the circuit to the lamp.

Issues with the outlet: There could be a problem with the electrical outlet, like a loose connection or no power supply.

which two forms of electromagnetic energy mostly passes through the atmosphere to Earth's surface

Answers

i believe it is visible lighy and radio waves, these two types of waves easily pass through the atmosphere and hits the earths surface the most

Final answer:

The two forms of electromagnetic energy that mainly pass through Earth's atmosphere are visible light and certain microwaves, which are crucial for life and climate balance.

Explanation:

The two forms of electromagnetic energy that mostly pass through the Earth's atmosphere to reach the surface are visible light and certain microwave frequencies. While our atmosphere acts as a shield, it selectively filters out most other wavelengths of incoming solar radiation. However, it allows the transmission of the majority of visible light and certain bands of the infrared spectrum, while absorbing harmful ultraviolet rays and other frequencies. This filtering is crucial for protecting life on Earth and for the climate balance by controlling the energy received at the surface.

A girl floating in the ocean and watches 12 wave crests pass her in 46 s. Calculate the wave frequency and period?

Answers

The frequency of the ocean waves is approximately 0.261 Hz, and the period is approximately 3.83 seconds, calculated based on the observation that 12 wave crests passed the observer in 46 seconds.

To calculate the wave frequency and period of ocean waves that a girl floating in the ocean observes, you can use the following definitions and formulas:

Frequency (f) is the number of wave crests passing a fixed point per unit of time. It is measured in hertz (Hz), which is equivalent to one wave per second.Period (T) is the time it takes for one complete wave cycle to pass a point. It is the inverse of the frequency and is measured in seconds (s).

Given that 12 wave crests pass the observer in 46 seconds, the frequency (f) can be calculated as:

f = Number of waves / Time = 12 waves / 46 s
≈ 0.261 Hz

To find the period (T), you can use the formula:

T = 1 / f
≈ 1 / 0.261 Hz
≈ 3.83 s

Therefore, the frequency of the waves is approximately 0.261 Hz, and the period is approximately 3.83 seconds.

The Earth's surface is divided up into several large, movable tectonic plates. Which of the following is true about these plates? A. The Earth has both continental and oceanic tectonic plates. B. The Earth has only oceanic tectonic plates. C. The Earth has neither continental nor oceanic tectonic plates. D. The Earth has only continental tectonic plates.

Answers

Answer:

the answer is A, the earth has both continental and oceanic tectonic plates.

Explanation:

hope this helped:)

The Earth's surface is divided up into several large, movable tectonic plates, that can be the Earth has both continental and oceanic tectonic plates.

What is tectonic plates?

The Earth's permeable outside husk can be separated or splits in to large parts is called tectonic plates. They are thick layer of warm fluid-rock which are gliding on the Earth's mantle. Plate tectonics forms the oceans, continents, and mountains. Most plates are composed of both continental and oceanic crust.

The lithosphere used to split up into  the following parts,

seven very large continental- and ocean-sized plates,six or seven medium-sized regional plates, several small ones.

The method of plate tectonics may be inspired by convection in Earth’s mantle, the extraction of heavy old pieces of crust into the mantle, or some combination of both.

Hence, Option A is the correct answer.

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Our turtle Adel walks 10 feet in 50 minutes. How fast is Adel travelling? Be sure to include the equation for speed in your answer.

Answers

First, divide
ft/min
10/50= .2
so
.2 ft per minute
Equation for speed is
Speed= Distance/Time
Speed = (distance covered) / (time to cover the distance)

     (10 ft) / (50 minutes)  =  0.2 ft/minute

                                        =  2.4 inch/minute

                                        =  12 ft/hour 

when you lift a book from the ground to your desk, what kind of work do you do, negative or positive? by lifting the book what do you change? does the book gain engery or lose engery? what kind of engery?

Answers

1. When you lift a book from the ground to your desk, what kind of work do you do, negative or positive?

 The work is the product of the vector by the force by the distance; so if the direction in which the force is applied to the object and its displacement has opposite sign or are opposite, the work is negative. So, when you lift a book from the ground to your desk, you are applying a force upwards and the book is upwards too, then, both are going in the same direction. Therefore, the work is positive.

 2. By lifting the book what do you change?

 By lifting the book from the ground to your desk, its height changes, therefore you change its gravitational potential energy, which is equal to the mass of the book by height by the acceleration of gravity.

 3. Does the book gain energy or lose energy? What kind of energy?

 The book gains energy. The kind of energy that the book gains is called: "Gravitational potential energy".

The gravitational attraction between two objects will BLANK if one object acquires more mass.

Answers

the gravitational attraction will increase.

Three examples of telescopes that detect different types of electromagnetic radiation

Answers

Three examples of telescopes that detect different types of electromagnetic radiation are : X-Ray Telescope, Radio Telescope &, Optical Telescope. Each is capable to detect different electromagnetic radiation. 

X-Ray Telescope is consist of optics which collects the radiation entering the telescope, and the detector,where the radiation is collected and measured.

Radio Telescope studies the radio frequency part of  the electromagnetic  spectrum which is emitted by astronomical objects.

Optical Telescope gathers and focuses light, mainly from the visible part of the electromagnetic spectrum. 

Asexual organisms, as compared to sexual organisms, tend to be smaller, have shorter life spans, and produce little or no genetic variability between generations. This makes it harder for an individual asexual organism to survive and reproduce. What is one advantage that asexual organisms have that helps them to overcome these disadvantages? A. They have higher reproductive rates. B. They use energy more efficiently. C. They never need to sleep. D. They are able to find food easier.

Answers

I would go with b) hoped that helped.

a) they have higher reproductive rates

Please help me on 3,4 and 6.
Thanks

Answers

3. The second piston will experience the same force as compared with the first. This is because since the pressure is the same everywhere inside the fluid system, the force is proportional to the surface area. We are told that both the first and the second piston have the same surface area, therefore, they will both experience the same force/pressure.


4. The situation is much the same as number 3 above, with the exception that the second piston is twenty times larger than the first. Again, since the pressure is the same everywhere inside the fluid system, the force is proportional to the surface area. We are told that the second piston is 20 times larger than the first, therefore, the larger piston will experience 20 times larger the force of the small one.


6. The answer is TRUE. The hydraulic braking system of most cars makes use of a vacuum servo (or booster), which is located between the brake pedal and the master cylinder piston. This vacuum servo amplifies the force applied from the brake pedal.

What will happen to this current if a magnet is brought near the cord?

Answers

an electric current will move through in the wire caseing causing more power to be released

Answer:

It will exert a force on the electric current.

Explanation:

If you drop a gum rapper on the floor is that pollution

Answers

No pollution is in the air, dripping a gum wrapper on the floor is littering
not exactly, it is littering. littering makes the place look unpleasing and unclean, but it wont necessarily kill us. now if a factory is dumping their sewage and whatnot in the water, that is considered as industrial pollution because it is killing almost all the wildlife that live in the water, and it can contaminate the water so if you take a swim in it and accidentally swallow some of the water, it can make you sick and can possibly kill you. 
Other Questions
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