Justine is ice-skating at the Lloyd Center. What is her final velocity if she accelerates at a rate of 2. 0 m/s for 3. 5 seconds?


2. How long would it take Jesse with an acceleration of -2. 50 m/s2 to bring his bicycle with an initial velocity of 13. 5 m/s to a complete stop?

At his current velocity the sprinter will complete the 100.0-m dash in 28.53 s.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position. It is a measure of how fast an object is moving and in what direction. Velocity is measured in units of meters per second (m/s) or miles per hour (mph) and is often represented by the symbol "v".

We can use the equations of motion to calculate the time for the sprinter to complete the race.

First, we can use the equation:

v = u + at

to find the final velocity of the sprinter after accelerating for 20.0 m. Here, u is the initial velocity (which is 0 m/s since the sprinter is at rest at the start of the race), a is the acceleration of 3.20 m/s^2, and t is the time it takes for the sprinter to accelerate for 20.0 m.

v = 0 + (3.20 m/s^2)(t)

We know that the sprinter accelerates for 20.0 m, so we can use the equation:

s = ut + 1/2at^2

to find the time t:

20.0 m = (0 m/s)(t) + 1/2(3.20 m/s^2)(t^2)

t^2 = (20.0 m) * 2 / (3.20 m/s^2) = 12.5

t = sqrt(12.5) = 3.53 s

So the time it takes for the sprinter to accelerate for 20.0 m is 3.53 s.

Next, we can use the equation:

v = d/t

to find the time it takes for the sprinter to cover the remaining 80.0 m of the race at his final velocity. Here, d is the remaining distance of 80.0 m and v is the final velocity found before.

t = d/v = 80.0 m / (3.20 m/s) = 25.0 s

So the time it takes for the sprinter to cover the remaining 80.0 m of the race at his final velocity is 25.0 s

So the total time for the race is the sum of the time it takes to accelerate and the time it takes to cover the remaining distance at a constant velocity:

t = 3.53 s + 25.0 s = 28.53 s

Hence, at his current velocity the sprinter will complete the 100.0-m dash in 28.53 s.

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Answer:

t = (x_ball + 8 ) / 0.6

Explanation:

To solve this problem, we can use the equations of motion for the paper ball and Alberta, and then set them equal to each other to find the time and position where they will meet.

The equation of motion for the paper ball is:

x = x0 + v0t + (1/2)at^2

where x is the position of the paper ball, x0 is the initial position (the door), v0 is the initial velocity (2.4 m/s to the right), t is the time, and a is the acceleration (which is 0 for a thrown ball).

The equation of motion for Alberta is:

x = x0 + v0t + (1/2)at^2

where x is the position of Alberta, x0 is the initial position (8 m to the right), v0 is the initial velocity (-0.6 m/s to the left), t is the time, and a is the acceleration (which is 0 for a person running).

If we set these two equations equal to each other, we get:

x_ball = x_alberta

x0 + v0t + (1/2)at^2 = x0 + v0t + (1/2)at^2

This simplifies to:

x_ball = x_alberta

Then we know that both x_ball and x_Alberta are the same point in space (where Alberta met the paper ball)

Now to find time, we need to use one of the original equation for time t. Using equation of motion for Alberta,

x_Alberta = x0 + v0t

So, t = (x_Alberta - x0) / v0

t = (x_ball - 8 ) / (-0.6) = (x_ball + 8 ) / 0.6

The negative sign of velocity of Alberta tells that she is running towards left whereas ball is thrown towards right.

So we can find time and position where Alberta will meet the paper ball by plugging in the specific distance (x_ball) and known values for x0, v0 and acceleration.

The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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The time that is taken by the cart is given as 34.7 s.

Let us have it at the back of our minds that what we are dealing with here is the velocity and that the velocity of the object can be said to be a vector quantity. If it is a vector quantity, we would need to look at the magnitude and the direction of the quantity.

We can now see that the velocity of the object can be defined as the change in the velocity of the object with time. We can now write;

V = Δx/t

V = velocity

Δx = change in the displacement

t = time

Then;

-0.418 = 5.40 - 19.9/t

t = -14.5/-0.418

t = 34.7 s

In the movement of the cart from one point on the plane to the other, the time that has been taken by the cart is about 34.7 s.

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The parallax formula is used to calculate the distance to a star based on the parallax angle, which is the angle between a star's position in the sky when observed from two points in the Earth's orbit six months apart.

What is distance ?

Distance is the measure of how far apart two objects or points are. It is typically measured in units such as meters, kilometers, miles, or light years. Distance can also be measured in terms of time, such as the time it takes to travel from one point to another.

Distance can either be measured directly, by measuring the physical gap between two points, or indirectly, by using a map, compass, or other navigation tool.

Part A
Distance = 1/0.7420 = 1.3481 parsecs
Distance = 1.3481 * 3.26156 = 4.39 light-years
Part C
Distance = 1/0.2860 = 3.4984 parsecs
Part D
Distance = 3.4984 * 3.26156 = 11.39 light-years
The parallax formula is used to calculate the distance to a star based on the parallax angle, which is the angle between a star's position in the sky when observed from two points in the Earth's orbit six months apart. The formula is simply distance = 1/parallax angle. For both parts A and C, the answer is first given in parsecs and then converted to light-years using the conversion factor of 3.26156 light-years per parsec.

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The amount of heat transferred from the system is -720j, hence option d is the proper response. It passes through a process where its internal energy drops by 500 joules in a thermodynamic system.

The system receives 220 joules of work at the same time. A thermodynamic system's internal energy is the energy that it contains, excluding the energies that are determined by how it interacts with its environment, such as the system's overall kinetic energy of motion and its overall potential energy with regard to external force fields. The definition of heat in thermodynamics is the kind of energy that crosses a thermodynamic system's boundary.

U = Q+W

Q = U - W Q = -500 -220 = -720J

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The number of males was roughly equal to the number of females: Stern observed all of the following results EXCEPT _______ in his experiment.

What is  experiment?

The Stern-Gerlach experiment (also known as the Stern-Gerlach experiment or the Stern-Gerlach magneto-optical experiment) was a landmark experiment in the early 20th century that demonstrated the inherent quantization of atomic-scale systems. It was conducted in 1922 by Otto Stern and Walther Gerlach in Germany.

The experiment showed that when a beam of silver atoms was passed through a non-uniform magnetic field, the beam split into two separate beams travelling in different directions. This showed that the silver atoms had two possible orientations of their magnetic dipole moment, which could only take on two discrete values. This phenomenon is now known as the Stern-Gerlach effect and is a fundamental part of quantum mechanics.

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If a circular motion is accelerated, it will undoubtedly have a high Turning at a rapid rate.

When an object travels along a circular path at a constant speed, it is said to be in uniform circular motion (UCM).So because object's direction was constantly shifting, the velocity doesn't really remain constant along with the speed.To maintain a circular course, the object must speed up toward the the circle's center.

As the particle moves in a circle, its direction of acceleration is continuously changing since it is continually moving toward the center.As a result, it is variable.

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In 1957, Sputnik I was propelled into orbit around the planet. Its speed when it was at its perigee was was approximately 7.935 x 10^3 m/s.

The speed of an object in orbit around Earth can be calculated using the vis-viva equation:

v = sqrt(GM/(r))

where v is the velocity of the object, G is the gravitational constant, M is the mass of the Earth, and r is the distance of the object from the center of the Earth.

Given the perigee distance of 6.41 x 10^6 m and the mass of the Earth being 5.972 x 10^24 kg, the velocity of Sputnik I at its perigee would be:

v = sqrt((6.67 x 10^-11 N*(m^2)/(kg^2) * (5.972 x 10^24 kg)) / (6.41 x 10^6 m))

v = 7.935 x 10^3 m/s

So, the speed of Sputnik I when it was at its perigee was approximately 7.935 x 10^3 m/s.

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Salt dissolves in water to form saltwater. This kind of change is regarded as a chemical change.

A physical change is a kind of change in which only the physical properties of matter change. In a physical change, neither the composition nor the chemical nature of matter is changed.

A chemical change involves a chemical process that results in the production of new substances. When you dissolve salt in water the sodium chloride dissociates in Na+ and Cl- ions which can be written in the form of a chemical reaction as,

NaCl →  Na+(aq) + Cl-(aq)

Thus, dissolving salt in water is an example of a chemical change.

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Phase states and abrupt changes in temperature. If the temperature it is exposed to changes drastically, a substance may go through a phase shift, changing from a solid to a gas or from a gas to a solid.

A solid can sublimate, or phase transition from a solid to a gas without ever existing as a liquid, if the temperature around it rises very quickly.

When bonds between molecules or atoms are created, disrupted, or both, chemical changes result. This implies that a substance with a particular set of properties such as melting point, colour, flavor, etc. becomes a substance with a different set of characteristics.

Physical alterations can often be reversed more easily than chemical changes. The condition in which a substance is in can be substantially influenced by its temperature. Matter might be in a solid, liquid, or gaseous form. Every material in the universe has a specific temperature threshold that, when crossed, causes a phase transition that alters the state of the substance. When matter absorbs or loses energy, its states change.

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Burce, a 45-kg quarterback, collides with Max, a 90-kg tackle, who is moving at 7.0 m/s in the opposite direction, as he runs at 2.0 m/s. This results in Bruce's new speed being 14 m/s.

Max hits the ground moving forward at a speed of 1.0 m/s. A moving object's velocity is a function of time and measures how quickly its position changes in relation to a frame of reference. When an object is moving, its speed and direction are specified by its velocity. A collision in physics is referred to as an elastic collision when the combined kinetic energy of the two bodies stays constant. A collision that is ideal and absolutely elastic

V1 = (720 - (90)(1))/45

V1 = 14m/s

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The components of an electrical circuit represented by the model are as follows:

The figure models resistance in a circuit because just as resistance in a circuit opposes the flow of current, the load resists the movement of the man.

An electrical circuit is a complete path that is provided for the flow of electric current.

Tue components of an electric circuit includes:

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The missing forces in the diagram given are: A = 50 N; B = 200 N; C = 1100 N; D = 20 N; E = 300 N; F = 0 N; G = 50 N and H = 0 N.

In physics and engineering, a resultant force is a single force and associated torque obtained by combining a system of forces and torques acting on a rigid body by vector addition. The characteristic of a resultant force or force-torque is that it has the same effect on a rigid body as the original force system. The resulting forces on the body are calculated and visualized by computational analysis or (for sufficiently simple systems) by free-body diagrams.

For A and B:

Since net force is zero the applied forces in all four direction will be equal but opposite.

So A will be 50 N and B will be 200 N.

For C:

The net force is 900 N;

C = 900 + 200

C = 1100 N

For D and E:

The net force is 60 N left; this means the net upward or downward force acting on the object is zero.

So E = 300 N

D = 80 - 60

D = 20 N

For F, G and H:

The net force is 30 N right; this means the net upward or downward force acting on the object is zero.

So F and H will be zero.

G = 20 + 30

G = 50 N

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The gravitational pull on the spacecraft is discovered to be inversely proportional to the distance from the Earth.

If the gap were cut in half, the gravitational attraction would be more powerful. According to Coulomb's rule, the gravitational force between any two things in the universe is inversely proportional to the sum of their respective masses.

The gravitational force between two things in the cosmos is calculated as being inversely proportional to their distance from one another. Gravity is the force that holds two bodies together, body present or not.

A force that is directly inversely correlated to the square of the distance between bodies and directly inversely correlated to their product draws every body in the universe toward every other body.

Thus , Inversely related to the separation from the Earth.

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The total change in momentum of the mass is calculated to be 80.16 kg m/s.

Given that,

Force F = 10 N

Mass m = 6 kg

Time t = 8 sec

"Newton's second law states that F = m a."

Making 'a' as subject,

a = F/m = 10/6 = 1.67 m/s²

From the equations of motion, let us calculate velocity.

v = u + a t

v = 0 + 1.67 × 8 = 13.36 m/s

Δp = m(v - u) = 6 × ( 13.36 - 0) = 80.16 kg m/s

Thus, the change of momentum is 80.16 kg m/s.

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The wavelength of the electromagnetic radiation needed to remove an electron from the valence shell of an atom of the element is 2.7522m.

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR). It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all components of the electromagnetic spectrum.

We are given that,

Speed of light = c = 299 792 458 m

The frequency of  electron = f = 1.09 × 10⁸ s⁻¹

The following equation can be used to determine the wavelength of a radio wave

Wavelength = λ = c/f

λ = c/f

λ =  299 792 458 m/s/ 1.09 × 10⁸ s⁻¹

λ = 2.7522m

Therefore the wavelength of the electromagnetic radiation would be 2.7522m.

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Answer:

Explanation: case b i think

Answer:

Below

Explanation:

17.4 inches = 441.96 mm      14.8 inches = 375.92 mm

volume = 441.96 X 375.92 X T  

                                   = 166141.6 T  mm^3  <===where T = thickness in mm

Volume X density = mass

 166141.6 T mm^3  * 2.7 gm/cm^3  * cm^3 / 1000mm^3  = 10.8 gm

     solve for T = .024 mm

According to legend, the evidence that stimulated Newton to propose the law of universal gravitation emerged from a study of the motion of the moon and other celestial or heavenly bodies.

Newton made a comparison between the moon's acceleration and that of earthly objects. Newton was able to make a significant discovery regarding the relationship between gravity and distance by assuming that gravitational forces were in charge of each.

He came to the conclusion that the force of gravitational attraction between the Earth and other objects is inversely proportional to the separation between the centres of the two objects as a result of this comparison. But there are other factors than distance that might impact how strong a gravitational force is.

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Answer: D

Explanation:

The wind will begin to blow the sediments of the arch away, causing the arched structure to become thinner over time. Therefore, the best answer is option D.

According to the kinetic theory of matter, changes in heat energy allow for phase transitions between solids, liquids, and gases.

When something is heated, the particles inside move faster and have more energy. When an object warms up, its atoms and molecules gain kinetic energy. When something is heated, its constituent atoms or molecules accelerate in their motion. Matter's kinetic energy can be quickly and easily increased.

When an object warms up, its atoms and molecules gain kinetic energy. The atomic or molecular motions of matter increase with temperature. Lifting a particle's kinetic energy is a breeze. When a substance absorbs heat, the inter-particle bonds in it weaken and break, resulting in a phase transition. If the particles aren't moving faster, there can't be any more heat. 

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The 5000 N-m work was done on the object.

The formula Work = Force * Distance can be used to compute work. The joule (J) or Newton-meter (N-m) is the SI unit for work. When 1 N of force pushes an item a distance of 1 m, the work done is equal to 1 joule.

There are several instances of work being done in our daily lives. A student holding a backpack on his back or his shoulder full of books, a horse pulling a plow across the field, a father pushing a supermarket cart in a mall, and many more examples come to mind.

Given:

Load force = 1000 N

Load distance = 5.00 m

Effort distance = 20.0 m

[tex]Work=Load*Load distance[/tex]

[tex]Work=1000*5.00[/tex]

[tex]Work=5000N-m[/tex]

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Thermal energy is the internal energy that exists in a system and is connected to the movement of the particles and can be contributed to a substance.

The energy in such a system that regulates its temperature is referred to as thermal energy. The exchange of thermal energy is referred to as "heating." Thermodynamics, a whole field of physics, is the study of how heat is transmitted between various systems and how work is performed in the process.

In physics, motion is a variation in an object's position with respect to its surroundings over a predetermined amount of time. To describe how an object travelling with a specific mass moves, use the terms below: Distance. Displacement. Speed.

So-called thermal energy is the internal energy present in a system that is connected to particle motion that can be given to a substance.

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A body's mass is the total amount of its material. Gravitational pull on a body is represented by weight.

The relationship between mass and weight Mass is a measure of inertia, whereas weight is a measure of force.

Both of these names are frequently used in the same sentence. Calculating how much matter a body contains requires knowing its mass.

Weight is a unit of measurement for the force that gravity's acceleration has on a mass.

Weight is a measurement of how the force of gravity works upon a mass, whereas mass is a measure of the amount of matter in a material.

In order to determine how much matter a body contains, we need to use its mass.

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The work done during this period will be 1875 J. It will be positive if the body is displaced in the same direction of the force.

Work done can be defined as the product of applied force and the distance through which the body is displaced where the force is applied.

The value of work can be zero, positive and negative. It depends on the direction of the body displaced.

Data given in the question is;

Let F be the average force applied by the worker

D is the displacement = 15 m

The average force is ;

[tex]F_{avg=\frac{F1+F2}{2}[/tex]

[tex]F_{avg=\frac{210+40}{2}\\[/tex]

[tex]F_{avg=125 J[/tex]

The work done by the worker will be:

W=Fd

W=125x15

W=1875 J

Hence the work done during this period will be 1875 J.

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94.32m/s is the average speed (in m/s) of the blade tip in the helicopter's frame of reference.

We discover that the sub average is 73.3 metres per second after entering this formula into our calculator and finding it to three significant numbers. The helicopter blade tip travels at an average speed of that.

After one revolution, the blade point has moved nothing since it goes back to its original position. The average velocity is consequently zero.

FPM = RPM x . 262 x Blade Diameter (inches).

FPM = 120 x . 262 x 3.00 = 94.32m/s

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If the index of refraction of a refractive medium slows the light to 1.88 x 10^8 m/s. The index of the second medium is: 1.60.

Using this formula to find the index of the second medium

n = c/v

Where:

n = refractive index of the medium
c = velocity of light in vacuum

v = velocity of light in the medium.2

Let plug in the formula

n = (3 x 10^8 m/s)/ 1.88 x 10^8 m/s

n = 300,000,000/188,000,000

n = 1.595

n = 1.60 (Approximately)

Therefore we can conclude that the  refractive index of the medium is 1.60.

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According to the answer the rise in temperature is 0.12K..

Temperature is a measure of the average kinetic energy of particles within a substance. It is measured in degrees on a wide range of scales such as Celsius, Fahrenheit, and Kelvin. Temperature is an important indicator of a material’s state and behaviour, as it influences the rate of chemical reactions and the physical properties of materials. Temperature also affects the flow of heat and the direction of heat transfer. For example, heat flows from hot to cold, and cold air will sink while warm air will rise. Temperature is also used to measure the average kinetic energy of molecules in a gas, which ultimately determines its pressure and volume. Temperature is an important environmental variable, as it affects the Earth’s climate and weather.

The rise in temperature can be found using the formula for linear expansivity, which states that the change in length is equal to the linear expansivity multiplied by the change in temperature.
Change in length(ΔL) = Linear expansivity(α) × Change in temperature (ΔT)
Therefore,
3.0mm = 25 × ΔT
ΔT = 3.0mm/25
ΔT = 0.12K
Therefore, the rise in temperature is 0.12K.

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