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)?

Answer:

OC.Newton's third law of motion which states that,"every action has equal and opposite reaction."

*mark me brainliest

The centripetal acceleration of the aorta in which the blood travels with the speed of 0.30 m/s is 2.2 m/s²

The diameter of the aorta = 4.1 cm

                                           = 4.1 x 10⁻² m

The speed of the blood through the aorta = 0.3 m/s

The centripetal acceleration of the blood passing through the aorta can be found using the formula,

                     a = v²/r

where a is the centripetal acceleration

           v is the speed of the blood passing through the aorta

           r is the diameter of the aorta

Let us substitute the known values in the above equation, we get

         a = 0.30² / (4.1 x 10⁻²)

            = 0.09 /  (4.1 x 10⁻²)

            = 0.022 x 10²

            = 2.2 m/s²

Therefore, the centripetal acceleration of the aorta is 2.2 m/s²

Learn more about the centripetal acceleration in

https://brainly.com/question/14465119

#SPJ4

The speed of the astronaut after launching our feline superhero is 1.4 m/s.

The speed of the astronaut is determined from the principle of conservation of linear momentum.

Pi = Pf

where;

86vₓ = 4.8 x (25 cos40)

86vₓ = 91.9

vₓ = 91.9 / 86

vₓ = 1.07 m/s

The vertical component of the speed;

86vy = 4.8 x (25 sin40)

86vy = 77.1

vy = 77.1 / 86

vy = 0.9 m/s

The resultant speed of the astronaut is calculated as;

v = √ ( vₓ² + vy² )

v =  √ ( 1.07² + 0.9² )

v = 1.4 m/s

Learn more about speed of astronaut here: https://brainly.com/question/29727760

#SPJ1

The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.

What is nucleus?

Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.

To learn more about nucleus

https://brainly.com/question/1268608

#SPJ4

The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.

The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.

The expression for the disintegration equation is given by

N(t) = N₀[tex]e^{-\lambda t}[/tex]            .... (1)

The half-life of the particle for 5 hours is given by

N(5) = N₀/2

Substitute in equation (1) to get

N₀[tex]e^{-\lambda t}[/tex] = N₀/2

[tex]e^{-\lambda t}[/tex] = 1/2

λ = ln2/5

The half-life of a particle for 10 hours is given by

N(10) = N₀/4

N₀[tex]e^{-\lambda t}[/tex] = N₀/4

[tex]e^{-\lambda t}[/tex] = 1/2

λ = ln4/10

The probability of disintegration is given by:

P = N(5) - N(10)/N(5)

Substitute the values, to get

P = (N₀/2 - N₀/4)/(N₀/2)

= (N₀(2-1)/4)/ N₀(1/2)

= 1/2

The probability of element decay between 5 to 10 hours is 1/2.

Now, the half-life of a particle for 20 hours is given by

N(20) = N₀/16

N₀[tex]e^{-\lambda t}[/tex] = N₀/16

[tex]e^{-\lambda t}[/tex] = 1/16

λ = ln16/20

The probability of disintegration is given by:

P = N(5) - N(1\20)/N(5)

Substitute the values, to get

P = (N₀/2 - N₀/16)/(N₀/2)

= (N₀(8-1)/16)/ N₀(1/2)

= 7/8

The probability of element decay between 5 to 20 hours is 7/8.

To learn more about the probability of disintegration, visit:

https://brainly.com/question/29977960

#SPJ4

The force between the charges are [tex]3844*10^{3} N[/tex]

                                              [tex]F = kQq/r^{2}[/tex]

Given, Q = q = 6.2 mC = [tex]6.2 * 10^{-3}[/tex]

           r = distance = 0.3m

           k = constant = [tex]9*10^{9}[/tex]

Putting these values in above equation we get F = [tex]3844*10^{3} N[/tex]

To know more about charges visit:

https://brainly.com/question/28984168

#SPJ1

The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.

power P = work/time

= ½mv² / t

P' = ½m(2v)²/t

= 4 * ½mv² / t

= 4 * P

so

P' = 4 * 54.9W

= 219.6 W  (or 220 W rounded off)

As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.

to know more about accelerating here:

brainly.com/question/12550364

#SPJ4

In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.

In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.

The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.

Read more about heat transfer :

https://brainly.com/question/16055406

#SPJ4

The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.

Hence, option A  is correct.

To know more about kinetic energy here

https://brainly.com/question/25959744

#SPJ4

The formula x(t) = 4t3 + 6sin(t) provides the location of an item. Discover the object's acceleration at time t=2. The variation in velocity called the acceleration.

If x(t) = 4t3 + 6sin(t), then its derivative, v(t) = 12t2 + 6cos(t), provides the velocity (t). Then, the derivative of velocity, a(t) = 24t 6sin, gives the acceleration (t) Therefore, a(2) = 24 2 6sin(2) = 42 6sin(2) gives the acceleration at time t = 2. The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time. Where is the average acceleration and v2 and v1 are the instantaneous velocities at time t2 and t1, respectively.

To learn more about acceleration please click on below link

https://brainly.com/question/12550364

#SPJ4

Answer: N 0.072

Explanation:

First thing i did was figure out what the negative charge was originaly

The charge and the polarity of the 2nd object is 0.072 N.

Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another.

Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Lesson 2 and subsequent lessons will cover these particular forces in greater depth.

Action-at-a-distance forces are those that happen even when the two interacting objects are not physically touching each other but are nevertheless able to push or pull against each other despite their physical separation.

Therefore, The charge and the polarity of the 2nd object is 0.072N.

To learn more about Force, refer to the link:

https://brainly.com/question/13191643

#SPJ2

A thermal emitter cannot be accurately approximated by hot, thin gas.

Devices known as thermal emitters radiate heat from a heated component. Some of them can be used as broadband infrared light sources for applications in spectroscopy, for instance, when the very low brightness is acceptable. Some of them are special types of incandescent lamps, sometimes in a very compact form. Their emission may be fairly continuous, but not always with high calibration accuracy. Unique designs, such as the globar and the Nernst lamp. These sources occasionally have an infrared filter installed that only allows the transmission of infrared light in a specific spectral range.

To know more about thermal emitter click here

https://brainly.com/question/10765323

#SPJ4

Fortunately, even those who have the most severe instances of GBS eventually recover. Some people will still have some weakness when they recover.

The peripheral nervous system, or the network of nerves outside the brain and spinal cord, is mistakenly attacked by the body's immune system in the rare neurological illness known as Guillain-Barré syndrome (GBS). A person with GBS may experience anything from a very mild case with transient weakness to a nearly fatal paralysis that prevents them from breathing on their own.

Anyone can develop Guillain-Barré syndrome. Both sexes are equally prone to the illness, which can affect anyone at any age (although it tends to affect adults and elderly persons more frequently). One in 100,000 people are thought to be affected with GBS each year.

Learn more about system here-

https://brainly.com/question/11938296

#SPJ4

If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .

The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.

It is show that,

Mass of cart, m = 45 kg

Net force acting on cart, F = 66 N

Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:

F = ma

a = F/m

a = 66 N/45 Kg

a = 1.46 m/[tex]s^{2}[/tex]

So, the acceleration of cart is  = 1.46 m/[tex]s^{2}[/tex] .

To know more about acceleration visit:

brainly.com/question/2303856

#SPJ4

Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)

You can ascend stairs with the aid of stored muscular energy, and in this case, you obtain potential energy since you gain height while doing so.

None of the voids between the orbits may be occupied by the electron. The rungs of a ladder serve as a commonplace illustration of the Bohr model. You can only be on certain rungs of a ladder as you climb or descend it; you cannot be in the spaces between the rungs. Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)

Learn more about energy here-

https://brainly.com/question/24284560

#SPJ4

Correct option is A)  The objects always attract each other.

There is always a pull from gravity. It won't repel.

A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.

A rise in one quantity causes a fall in the value of the other since the two values are inversely proportionate. In other words, as the separation distance increases, the force of gravity decreases, and as the separation distance decreases, the force of gravity increases.

To learn more about Gravitational attraction from given link

https://brainly.com/question/15257710

#SPJ4

According to the given information the velocity is .0148 m/s2 and the kinetic energy is 3.78 J.

The movement that an item or particle experiences with regard to time is expressed vectorially as velocity. One metre per second (m/s) is the accepted unit of flow speed (also known as speed).

The metric speed unit is the meter per minute (m/s). A different way to express velocity magnitude is in centimeters per second (cm/s).

vilocity = 5/(5.8×5.8)

            = 0.148

kinetic energy = 1/2mv^2

                        = 1/2 × (0343 × 0.148×0.148)

                        = 3.78 J

To know more about velocity visit:

brainly.com/question/18084516

#SPJ4

A revolving bar that pivots on a fixed point serves as the lever arm between F and the pivot point.

The pivot is the elbow, while the forearm acts as the lever arm. The biceps muscle exerts the effort and bends the forearm in spite of the forearm's weight and whatever additional weight the hand may be carrying. The weight is farther away from the pivot than the effort.

The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.

The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever arm generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.

For such more question on lever arm .

https://brainly.com/question/11661286

#SPJ4

To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.

The acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.

The angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.

(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.

The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.

It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.

To know more about velocity visit

brainly.com/question/17127206

#SPJ4

An electric dipole moment is a vector that points means it has both magnitude as well as direction.

A vector quantity is the electric dipole moment. It moves from a negative charge to a positive charge in a clearly defined direction. But it's crucial to keep in mind that only in physics is this convention of direction used.

This vector quantity points in the direction of the dipole's positive charge from its negative charge. The SI unit for electric dipole moment is the coulomb-meter (Cm), whereas the C.G.S. unit is the debye.

To know more about electric dipole visit :-

brainly.com/question/28426313

#SPJ4

She moves at 6.5 m/s as her final speed after running 100 meters.

The velocity change of an object per unit of time is known as acceleration. Amounts of acceleration are measured in meters per second squared (m/s2), the SI unit of acceleration. For instance, due to Earth's gravity, a falling object accelerates at a rate of 9.8 m/s2.

A straight-line motion issue looks something like this. These formulas are used to determine the final velocity:

s = Vo*t + (1/2)*a*at2, and Vf = Vo + at

Where:

Vf = = final speed =?

1.4 m/s is the initial velocity, and 0.20 m/s is the acceleration.

100m displacement in 2 seconds.

the first equation is changed by:

100 = 1.4t + (1/2)*0.2*t^2\st = 25.388s

Vf = 1.4 + 0.2 can be used as a replacement in the second equation.

Vf = 6.5m/s

To know more about cardio exercise visit:-

https://brainly.com/question/1311324

#SPJ4

"At a yellow light, after checking to the rear, stop before entering the intersection or at the stop bar." If stopping safely is not possible, cautiously cross the junction.

Devices that are typically located at significant sites, such as busy junctions, are used to give out traffic signals in order to control the flow of traffic.

A yellow traffic light serves as a warning that the red signal will soon be shown. As a result, as soon as you notice a yellow light, you should begin to slow down in preparation for a red light. Additionally, if for some reason you are unable to stop, you should keep an eye out for any vehicles that may be approaching the intersection at the same moment.

To know more about traffic lights:

https://brainly.com/question/10590806

#SPJ4

The formula that shows the relationship between the surface area (S) and volume (V) for spheres is S = 4πr² and V = (4/3)πr³ where r is the radius of the sphere.

This formula shows that the surface area of a sphere is directly proportional to the radius squared, and the volume is directly proportional to the radius cubed. This means that as the radius of a sphere increases, the surface area and volume will increase at a much faster rate. For example, a sphere with a radius of 2 will have four times the surface area and eight times the volume of a sphere with a radius of 1.

The question is incomplete, hence the answer is general.

Learn more about volume of the spheres here: brainly.com/question/22807400

#SPJ4

The corresponding change in temperature on the Fahrenheit scale More than 5°F.

In the Celsius scale, a temperature change of 5 degrees K corresponds to a shift of 50 degrees C. This is due to the fact that a temperature change of one degree Celsius is equivalent to a temperature change of one degree Kelvin. Tk = TC +273.15. We can observe that the relationship between the two temperature scales is linear and that its slope is the same for each.

The degree Celsius, denoted by the symbol °C, is the unit of temperature in Celsius and is by definition equal in magnitude to the kelvin unit. A temperature difference or interval can be stated in either kelvin or degrees Celsius, and in both cases the numerical value of the temperature difference is the same. However, the relationship between the numerical value of a thermodynamic temperature represented in kelvin and a Celsius temperature expressed in degrees Celsius exists.

To learn more about temperature in kelvin and Celsius from given link

https://brainly.com/question/10497952

#SPJ4

Answer:

Explanation:

option 1 - A and B move with the same speed INCORRECT because the lines have different slopes

option 2 - B moves with non-uniform speed  INCORRECT because the line for B is straight

option 3 - A completes his journey early INCORRECT because A ends his journey at about 11:45 after going about 42 km. B finishes his journey at about 11:35.

option 4 - B overtakes A at 11:10 a.m.  CORRECT.  They meet at the 30 km mark at 11:10, which is where the lines intersect.

The missing value is D. 98

The table provides information about the speed (m/s), frequency (Hz), and wavelength (m) of a sound wave generated by a musical note, in different mediums (air, glass, and brass). The frequency of the sound wave is constant across the three mediums, but the speed and wavelength will vary depending on the medium. Since we know the frequency and wavelength, we can use the formula:

Speed = Frequency x Wavelength

to find the missing value of the speed of the sound wave in brass.

4,700 = 55 x Wavelength

Wavelength = 4,700/55 = 85.818...

So the missing value is 98 (approximately) in the table.

Learn more about sound waves here: https://brainly.com/question/1199084

#SPJ4

If the braking force is 10000 N, 90 meters is far the car travel before stopping.

When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them.  Actual forces can only be created by interaction.

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Given that,

Mass of automobile = 2000 kg

speed = 30 m/s

Braking force = 10000 N

For, The acceleration is

Using newton's formula

Where, f = force

m= mass

a = acceleration

Put the value of F and m into the formula

-10000 = 2000*a

The braking force is visible in the negative sing.

It demonstrates that the force's direction is the inverse of the motion.

a = -10000/2000

a = -5m/s2

For the distance,

Using third equation of motion

[tex]v^{2} - u^{2} = 2as[/tex]

[tex]0- 30^{2} = 2 * (-5) *s[/tex]

s = 90m

Consequently, the automobile went 90 meters before coming to a stop.

Learn more about force from the given link:

https://brainly.com/question/388851

#SPJ4

The bike messenger's velocity will be 1 m/s.

Given as per the question is,

Distance between school and the blue house is 2160 meters

Time taken by the bike messenger is 36 minutes

Velocity is to be calculated.

Converting minutes into seconds,

36 minutes = 36 X 60 = 2160 seconds.

Velocity of an object can be calculated by the formula as,

Velocity = Distance/ Time

Substituting the values as per the formula above,

Velocity = 2160/2160 = 1 m/s

Learn more about velocity:

brainly.com/question/29519833

#SPJ4

the amplitude of the resultant is the amplitude of the two original waves times 1.85.

The waves add together as a result, and the amplitude at any place is equal to the sum of the amplitudes of the individual waves at that point.

The frequency of the wave produced by the superposition of two waves with comparable frequencies is equal to the average of the two. This wave's amplitude changes or beats at a frequency known as the beat frequency. By mathematically combining two waves, we can find the beat frequency.

To know more about the resultant wave visit:

brainly.com/question/3893031

#SPJ4

According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.

What is the capacitor?

An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.

In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.

To learn more about capacitor

https://brainly.com/question/13578522

#SPJ4