Roller Coaster Physics Gizmo


With no friction, you can use the relationship between potential and kinetic energy to predict the speed of the car at the bottom of this hill from its starting height. To do this start by setting the kinetic and potential energy equations equal to one another. K= U

1/2mv^2 = mhm


a. Use algebra to solver for the speed. V=


b. With the no friction, does the final speed depend on the mass of the car?


c. With no friction, does the final speed depend on the steepness of the hill?


d. What is the final speed of the car if the height of the hill is 55 cm (. 55m)?

Answers

Answer 1

A) Using algebra, the required speed V=(2gh)1/2

B)  With the no friction, the final speed does not  depend on the mass of the car.

C) With no friction, the final speed does depend on the steepness of the hill.

D) The final speed of the car if the height of the hill is 55 cm is 3.569 m/s.

Given that there is no friction considered. Thus, the total energy of the system can be considered as conserved.

Thus, sum of kinetic and potential energy will be constant.

K = U

mu 2   = mgh ......................................(1)

m = mass of object

v = speed of object

g = acceleration due to gravity = 9.8 m/s2

h = height of object with respect to a reference position

Thus for an object at a height from ground, will have its potential energy converted to kinetic energy during it's descent.

(A) from (1)

mv2 = 2mgh

Thus,   v2 = 2gh

            v = (2gh)1/2

this, is the velocity of an object from conservation of energy.

(B) with no friction, the enrgy is taken to be conserved. from the answer of (A), we know,

v = (2gh)1/2.

clearly this equation doesn't depend on mass.

thus, final speed doesn't depend on the mass.

(C) Given height of hill , h = 65cm = 0.65 m

from (1),    v = (2gh)1/2.

the potential energy of car at the hill top = mgh

this potential energy gets entirely converted to kinetic energy at the bottom of hill due to conservation of energy. Thus

v = (2 x 9.8 x 0.65)1/2

   =  3.569 m/s

Thus, the final velocity of the car is 3.569 m/s

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Related Questions

If the human body has an average density of 981 kg/m3 , what fraction of a person is submerged when floating gently in fresh water

Answers

The fraction of the person submerged in fresh water is about  98.1%.

Given data as per the question:

Average density of the human body= 981 kg/ m³.

The Law of floatation can be defined as the volume of the liquid displaced when a body floats on the liquid surface is equal to the body submerged in the water.

As body has the stable equilibrium state, the buoyancy of the fluid will be equal to the weight.

Weight of the body floating = Weight of the body immersed in fluid

Law of floatation = Density of the floating object / density of fluid

As fluid is the freshwater here, the density of fluid will be 1000 kg/ m³.

                              = (981 kg/ m³) / ( 1000 kg/ m³)

                              = 98.1 %

A person is submerged when floating gently in fresh water about 98.1%.

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anthony walks to the pizza place for lunch. he walks 1 km east then 2 km south and then 1 km east again. what distance did he cover and what was his displacement

Answers

Answer:

3 km displacement

Explanation:

I'm pretty sure that's the answer, I'm so sorry if it's not

Can anybody answer this ITS A SCIENCE QUESTION NO LINKS!!!!
Energy that results from an object's position or shape is called
kinetic energy
potential energy
power
work

Answers

It’s potential energy, because there is no energy with an objects height

A 12 kg barrel is pulled up by a rope. The barrel accelerates at . Find the force exerted by the rope. Show all your work.

Answers

The solution is 14.4 N

Steps:

 The given values are:

      mass

m=12kg

Acceleration

a=1.2m/s²

As we know te formula

  ⇒force=mass×acceleration

By substituting the values we get,

⇒1.2×1.2

⇒14.4N

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J
If a building is 17 m tall, how long would it take to hit the ground?

Answers

It would take approximately 0.45 seconds for a 17 m tall building to hit the ground.

What is distance?

Distance is the amount of space between two objects or points. It is measured in units such as meters, feet, or miles. Distance can also refer to the length of time it takes for something to happen, such as the distance between two events.

This is calculated by using the formula: time = (distance)/(gravity x 2). In this case, distance is 17m and gravity is 9.8 m/s2, so time = (17 m)/(9.8 m/s2 x 2) = 0.45 seconds.
Distance may also refer to the emotional or physical separation between two people or groups. Distance can be expressed as a physical, mental, or emotional concept.

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A can, containing only air, has its lid tightly screwed on and is left in strong sunlight

i) State what happens to the pressure of the air in the can when it gets hot

ii) In terms of molecules, explain your answer to b i.​

Answers

Answer:

Because everyone knows that when you increase temperature activity withn molecules increases they will collide more making the can probably explode

What is the mass of a softball if it hit the catcher's glove traveling at
48.7 m/s2 and struck with a force of 51.3-Newton?

Answers

Answer:

To solve this problem, you can use the formula F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. In this case, the force applied to the object is 51.3 newtons and the acceleration of the object is 48.7 m/s2. So, you can set up the equation like this:

51.3 newtons = m x 48.7 m/s2

To solve for the mass of the object, you can divide both sides of the equation by 48.7 m/s2:

51.3 newtons / 48.7 m/s2 = m x 48.7 m/s2 / 48.7 m/s2

This simplifies to:

1.05 kg = m

So, the mass of the softball is approximately 1.05 kilograms.

¿A qué altura se podría haber elevado un cuerpo de 100 kilogramos de peso con esa misma energía? Rta=3673.5m

Answers

Respuesta:

3673.5m

Explicación:

Falta el dato de energía para poder resolver el problema pero vamos a suponer un dato para ver el procedimiento.

Supongamos que se emplean 3600030 J para elevar un cuerpo de 100 kg una cierta altura, aumentando su energía potencial. Los datos son:

Energía potencial (Ep): 3,600,030 JMasa del cuerpo (m): 100 kgGravedad terrestre (g): 9.8 m/s²

Para calcular la altura alcanzada (h), podemos usar la siguiente fórmula.

Ep = m × g × h

h = Ep/m × g

h = 3,600,030 J/100 kg × 9.8 m/s² = 3673.5m

A elastic spring is compressed by an amount x. Show that its P.E. is 1/2 kx2
where k is the spring constant.

Answers

Answer:

The potential energy (P.E.) stored in an elastic spring is equal to the work done in compressing or stretching the spring.

When a spring is compressed or stretched, the force required to do so is given by Hooke's law, which states that the force F required to compress or stretch a spring by an amount x is given by

F = kx, where k is the spring constant.

The work done in compressing or stretching a spring is equal to the force required to do so multiplied by the distance over which the force is applied.

In the case of a spring, this distance is equal to the amount x by which the spring is compressed or stretched.

Therefore, the work done in compressing or stretching a spring is given by

W = Fd = kx * x = kx^2.

The potential energy stored in the spring is equal to the work done to compress or stretch it.

Therefore, the potential energy of a spring that is compressed by an amount x is given by P.E. = W = kx^2.

Substituting kx^2 = 1/2 kx^2, we find that

P.E. = 1/2 kx^2.

This shows that the potential energy stored in an elastic spring is equal to 1/2 times the spring constant multiplied by the amount x by which the spring is compressed or stretched.

Explanation:

two blocks are connected by a string of negligible mass that passes over massless pulleys

Answers

If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.

What is Newton's second law? In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks. Therefore, if the blocks have different masses, they will have different accelerations. In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.

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A 3.00kg mass is attached to an ideal spring with k =200N/m ,if the velocity of the body at 0.25 is 2.3m/s find the amplitude and maximum velocity​

Answers

Answer:

To solve this problem, you can use the following formula:

v = sqrt(k / m) * A

In this formula, v is the velocity of the mass, k is the spring constant, m is the mass of the object, and A is the amplitude of the oscillation.

Since you know the velocity of the mass at 0.25 seconds, you can substitute this value into the formula and solve for A:

2.3 m/s = sqrt(200 N/m / 3.00 kg) * A

A = 2.3 m/s / sqrt(200 N/m / 3.00 kg)

= 0.23 m

So, the amplitude of the oscillation is approximately 0.23 meters.

To find the maximum velocity of the mass, you can substitute the values for k, m, and A into the formula for velocity:

v = sqrt(200 N/m / 3.00 kg) * 0.23 m

= 2.75 m/s

So, the maximum velocity of the mass is approximately 2.75 m/s.

Question 4
Which of the followmg questions explains the type of wave which can travel at the speed of light?
What is an electromagnetic wave?
What is a mechanical wave
What is a longitudinal wave?
What is a transverse wave

Answers

Answer:

What is an electromagnetic wave

Explanation:

Electromagnetic radiation is also more commonly known as light, light travels in waves- and light travels at the same speed as electromagnetic waves. :)

If the current in each wire is the same, which wire produces the strongest magnetic field?
-a wire that is 1mm thick and not coiled
-a wire that is 2mm thick and not coiled
-a wire that is 1-mm thick and coiled******
-a wire that is 2-mm thick and coiled

Answers

Answer:

Im pretty sure its c

Explanation:


HELP ILL MARK BRAINLIEST!!


















Match these items words on the left with the statement that best describes it.
force
1. force used to generate electricity
muscular
2. the force that attracts any object to another
3. a push or a pull action
water
4. a property of all matter at work
gravity
5. force used to walk up the steps
newton-meter
6. English measurement of work
foot-pound
7. the metric measurement of work
motion

Answers

the force that attract any object to another =gravity

5kg
P= 210 N
[2]
2 kg
3 kg
5 kg
P = 210 N
M = 0.2
141
1 kg​

Answers

Answer:

2

Explanation:

ate kinus to plis ffffg

Lab motion

Table E: Average Speeds for Higher Racetrack

Time (Initial) |Time (Final) |Elapsed |Time |Average speed
| | | |
(s) (s) (s) (m/s)

1st ¼ of the Track

-------------------------------------------------------------------------------------------------------

2nd ¼ of the Track

-------------------------------------------------------------------------------------------------------

3rd ¼ of the Track

-------------------------------------------------------------------------------------------------------
Final ¼ of the Track

-------------------------------------------------------------------------------------------------------

Answers

R is the radius of speed curvature of the turn, g is the acceleration due to gravity, and μs is the coefficient of static friction.

θ is the angle of banking. For no slippage to occur even when the contribution of the frictional force in the centripetal force is not considered, we ignore the effect of friction and get the Time. Well, if the radius must be a single measurement, then the turn will be perpendicular.

While you're gathering necessary data, there's a discrepancy in your Average speed. Unless there are also tighter or unbanked turns, it's difficult to imagine the average speed=cornering speed.

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true/false
It is possible to view the Moon in first-quarter phase the day after a total lunar eclipse.

Answers

False. The Moon will typically appear in a crescent phase the day after a total lunar eclipse.

What is lunar eclipse?

A lunar eclipse is an astronomical event that occurs when the Moon passes directly behind the Earth into its umbra (shadow). During a lunar eclipse, the Earth blocks the light from the Sun from reaching the Moon.

The Moon, in turn, takes on a reddish hue as the Earth's shadow covers it. A lunar eclipse can only occur at Full Moon, when the Sun and Moon are in exact alignment with Earth in the middle. The Moon will usually appear larger than usual during a lunar eclipse, due to the reddish hue it takes on.

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What does an increases in concentration do to a material?

Answers

Answer:

it will increase the frequency of collisions between the two reactants

Explanation:

mark brainliest?

A sound wave has frequency 620 Hz and wavelength 10.5 m. What is the speed of sound waves?

Answers

Answer:

14

Explanation:

A sound wave in a steel rail has a frequency of 620 Hz and a wavelength of 10.5 m. What is the speed of sound in steel? U f = ? S f = 3 x 108 m/s) / 0.06 m 14 so it will be 14

A skier is pushed from the top of a hill so that he starts moving down the hillside from a height of 100 m with
an initial speed of 0.434 m/s. After traveling 80.4 m, he reaches the bottom of the valley. Due to inertia, he
then continues 70.4 m up another hillside (y = 40 m) and crashes into a snow bank that compressess like a
spring (k = 50 N/m). What is the skiers speed as he crashes into the snow bank? How far does the snow
compress? Assume that you can neglect friction.

Answers

Speed as the skier crashes into the snow bank: 0.434 m/s

Distance the snow compresses: 1.544 m

The speed of the skier as he crashes into the snow bank is the initial speed since there is no acceleration due to the lack of friction. The distance the snow compresses is calculated using the following equation:

compression = (mass x velocity2) / (2 x spring constant)

Therefore, compression = (75 kg x 0.4342) / (2 x 50 N/m) = 1.544 m

it is natural tendency of bodies to eventually come to a rest position .(true or false )physic question​

Answers

Answer:

True

Explanation:

Newton's first law of motion is applicable to both moving and nonmoving objects. ... It would take an unbalanced force to keep an object in motion at a constant velocity. False- balanced force. It is the natural tendency of all objects to eventually come to a rest position.

I believe that it would probably be false

what's the average speed of a bike rider who rides for 3 hours at 40 km/hr and the 2 more hours at 50 km/hr

Answers

The average speed of a bike rider who rides for 3 hours at 40 km/hr and two more hours at 50 km/hr can be calculated by adding the total number of kilometers ridden and dividing it by the total time taken.

In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3×40 + 2 × 50). Therefore, the average speed of the rider is 58km/hr (290/5).

Average speed can be defined as the rate at which an object covers a given distance over a given period. It is usually measured in kilometers per hour (km/hr), meters per second (m/s), or miles per hour (mph).

Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3 × 40 + 2 × 50).

Therefore, the average speed of the rider is 58km/hr (290/5).

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convert 67kelvin to degrees celcius​

Answers

67 kelvin is -206.15 celcius

1. There are only two factors that affect your environment. (1 point)
O True
OFalse
2. Seasonal changes impact the environment. (1 point)
True
OFalse
3. Plants in a room can actually improve air quality. (1 point)
O True
OFalse
4. Scientists are not concerned with the human impact on the environment.
True
OFalse
5. Land environments are different than water environments. (1 point)
True
False
(1 point)

Answers

Seasonal changes impact the environment. is There are only two factors that affect your environment.

What is seasonal behavior?

Seasonal affective disorder, a clinically diagnosed syndrome, is believed to represent the morbid extreme of a spectrum of seasonality. Two types of seasonality have been clinically described: one characterized by a winter pattern and a second by a summer pattern of depressive mood disturbance.

Does seasonal mean every year?

Seasonality is a characteristic of a time series in which the data experiences regular and predictable changes that recur every calendar year. Any predictable fluctuation or pattern that recurs or repeats over a one-year period is said to be seasonal.

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If you are going the same speed, the greater the vehicle _______ the greater the force of impact. florida

Answers

If you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.

Velocity of any body is the speed by which it is travelling along with the direction it has given. velocity is a vector quantity because it has both magnitude and direction. velocity has both magnitude and direction so it different from speed but its magnitude is same as that of speed and we can calculate both as their magnitude are equal. velocity is the measure of the speed of the moving body by which it is moving in the place from one place to another. velocity and speed are the same but they are different in the essence in the form of their type. speed is scalar and velocity is vector. by this primary information we can consider that primarily that if you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.

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How is torque calculated using the moment arm?

Answers

Torque is calculated using the moment arm is Torque =Lever Arm x Fy (or Force sin( )) Torque = Force (Fm) x Moment Arm.

How is torque moment calculated?

Calculating Torque: The formula for torque is =|r| |F|sin = | r | | F | sin, where |r| is the size of the lever arm, |F| is the size of the force vector, and is the angle created between the two vectors.

Is torque equivalent to the moment arm?

In mechanics, they have slightly different meanings but the same meaning in physics. The moment is a static force, whereas the torque is a moving force, even though they both have the same unit, N-m. Torque is utilized when there is rotation, whereas moment is used when there isn't.

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What happens to P-waves when they go through a liquid?

Answers

When P waves pass from solid to liquid, then from liquid to solid, there are sudden changes in direction – they are reflected and refracted . Seismic waves are also reflected and refracted as they pass into different rock types.
When P waves pass from solid to liquid, then from liquid to solid, there are sudden changes in direction – they are reflected and refracted . Seismic waves are also reflected and refracted as they pass into different rock types.

calculate the kinetic energy of a 50 kg object that is moving at a speed of 12 m/s​

Answers

Hello there!

Answer:

3600 J

Explanation:

[tex]E = \frac{mv^2}{2}[/tex]

So m = 50 kg and v = 12 m/s then

[tex]E = \frac{50 * 12^2}{2} J = 3600 J[/tex]

Given

Mass = 50 kg

Velocity = 12 m/s

Find

The kinetic energy of an object.

Solution

The formula that is used to find the kinetic energy of an object is given by :

[tex]K = \frac{1}{2}mv^{2} \\K = \frac{1}{2} X 50 X 12^{2} \\K = \frac{1}{2} X 50 X 144[/tex]

Answer= 3, 600 J

Please explain what the above equation shows and justify your answer. Does this equation prove that gamma radiation cannot be produced by this type of nuclear decay? Please explain your answer.

Answers

This is not a gamma radiation because there is a change in the atomic number of the daughter nucleus. It is rather a beta decay.

What is a nuclear decay?

We have to note that when we talk about a decay we are talking about the manner that we can be able to break up the atom of a radioactive substance so that we can be able to produce a new substance.

We can see now that what we have here is the loss of a beta ray or an electron from the specie that is shown. This is evidenced by the change in the atomic number of the daughters nucleus.

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If a runner exerts 350 J of work to do 125 W of power, then how long did it take the runner to do the work

Answers

Answer:

2.8

Explanation:

power=work done/time

so, to calculate time

we know,

time(s)=work done(j)/power(w)

=350/125

=2.8

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