A girl strikes a 0.445kg soccer ball with a net force of 5.92N. What is the acceleration of the soccer ball? 0 13.3 m/s2 O 0.0752 m/s2 0 6.36 m/s2 0 5.48 m/s2

a) The relative atomic mass is 122.35

b) The Rutherford model produced the planetary model of the atom and laid the foundation for the Bohr model

c) The percentage abundance shows the most popular isotope.

We need to know that an element must be composed of the isotopes of the element. We have to know also that the isotopes of the element would all have the same atomic number but they would have different mass numbers for each of the elements that are under study.

We need to determine the average atomic mass of the element X as follows;

(121 * 0.432) + (123 * 0.531) * (129 * 0.037)

= 52.27 + 65.31 + 4.77

= 122.35

We can see that the calculation that we have made above has given the relative atomic mass of the isotope to be about 122.35.

Rutherford showed by experiment that at the core of the atom lies the nucleus around which the electrons evolve as planets round the sun hence the name planetary model. The furthered the ideas that led to the Bohr model of the atom.

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The kinetic energy of an object is half of the product of mass and square of velocity. Then, for a person with a kinetic energy of 1800 J and velocity of 12 m/s is 25 kg.

Kinetic energy of an object is generated by virtue of its motion. It is related to the mass and velocity by the expression as follows:

Ke = 1/2 m v².

Thus, as the mass or velocity increases, kinetic energy increases.

Given velocity of the person = 12 m/s

kinetic energy = 1800 J

1/2 m v² = 1800 J

The mass of the person can be then calculated as follows:

m = 2 Ke/v²

m = 1800 J × 2 / (12 m/s)²

m = 25 Kg.

Therefore, the mass of the person is 25 Kg.

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The velocity of the cart on the right that has a mass of 4. 5 kg is 0.09 m/s.

Velocity is the rate of change of distance with respect to time.

Mass on the left of the cart = m1 = 1.5 kg

on the left of the cart = v1 = 27 cm/s = 0.27m/s

Mass on the right of the cart = 4.5 kg

Velocity on the right of the cart = x

According to the law of conservation of linear momentum:

We can say that.

Initial momentum will equalize the final momentum.

And momentum is the product of mass and its velocity.

Assigning one of its velocity as negative because both are in different direction.

mathematically, (m1*-v1) + (m2v2) = 0

(1.5*-0.27) + (4.4*x) = 0

x = 0.09 m/s

So the velocity of the cart on the right side that has a mass of  is 0.09 m/s.

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Your home's location at x and the store's location at x + 2 km

Solving the displacement problem.

"Displacement" describes a change in an object's location. An arrow pointing from the starting point to the finishing point serves as the object's symbol. For instance, an object's position changes if it shifts from position A to position B. For instance, an object's position changes if it shifts from position A to position B.

Substitution Formula

The final position less the starting position is known as displacement.

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If you walked one kilometer from your home to the store and then one kilometer back home, you did indeed cover a distance of two kilometers. The distance is calculated by adding the lengths of the two separate paths together, which in this case would be 1 kilometer + 1 kilometer = 2 kilometers.

However, when we talk about displacement, we're referring to the change in position or the shortest straight-line distance between your starting point and your ending point. In this scenario, since you ended up back at your starting point, your displacement is 0 kilometers. This is because the straight-line distance from your home to the store is canceled out by the straight-line distance from the store back to your home.

To better understand this concept, let's consider an example. Imagine you take a trip around a circular track. You start at one point, go all the way around the track, and end up back at the starting point. Even though you covered a certain distance along the track, your displacement is still 0 because you ended up back where you started.

So, in summary, the distance you walked is 2 kilometers, but your displacement is 0 kilometers because you returned to your starting point.

Answer:

-39 mph

Explanation:

65 - 104 = -39 mph    

The students can ensure accurate data, by repeating the experiment several times.

option B.

The accuracy of an experiment is how close the final result is to the correct or accepted value. The closer it is, the more accurate the experiment.

The accuracy of an experiment is obtained by performing the experiment repeatedly or many times.

Thus, for the team of students to obtain an accurate result on the effect of gravity on different objects with the same mass and  time it takes the

objects to fall from the top of the school's bleachers, they must perform the experiment many times.

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Answer:

(Question) Which statement about mass is correct?

(Answer)  Mass is the measure of the amount of matter in an object.

(Question) A student designs a gravity experiment. She will time how long it takes different objects to fall from her school’s roof to the ground. She will use three objects: a 2-foot-long board, a toy car, and a paper bag. What is wrong with her experiment’s design?

(Answer)  The objects do not have the same size, shape, or mass, so any differences in drop times cannot be attributed to one variable.

(Question) Which statement about gravity is correct?

(Answer)  Gravity is a force that attracts objects with mass toward each other.

(Question) A team of students performs an experiment to test the effect of gravity on different objects with the same mass. They measure how long it takes the objects to fall from the top of the school’s bleachers. How can they insure they get accurate data?

(Answer) by repeating the experiment several times

(Question) Students analyze their data from a gravity experiment. They find that objects fall at a greater speed from a greater height than from a lower height. What can they conclude?

(Answer)  The longer an object falls, the more gravity increases its speed.

Explanation:

i just finished the quick check. enjoy

Important Formulas:
[tex]F=ma[/tex]

force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)

__________________________________________________________

Given:
[tex]F=50N[/tex]

[tex]m=0.5kg[/tex]

[tex]a=?[/tex]

__________________________________________________________

In order to find acceleration, we will need to rearrange the force formula to make acceleration the subject.

[tex]F=ma[/tex]

[tex]\dfrac{F}{m} =\dfrac{ma}{m}[/tex]

[tex]a=\dfrac{F}{m}[/tex]

__________________________________________________________

Finding acceleration:

[tex]a=\dfrac{F}{m}[/tex]

[tex]a=\dfrac{50}{0.5}[/tex]

__________________________________________________________

[tex]\fbox{a = 100 m/s squared}[/tex]

The correct answer is that the two items will either be drawn together or pushed apart, according to the stated statement.

Electricity is created when voltage increases to or subtracted from an object. Since atoms have a negative charge, an object gets an ions when electrons are transferred to it. When an object's electrons are taken away, it develops a positive charge.

All matter has an inherent electric charge, which results from the inclusion of atoms like protons, electrons, and neutrons. The quantity of protons, electrons, and neutrons an atom has affects its charge. Positive or negative charges can exist in an electric field. Protons produce positive charge, while electrons produce negative charge.

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The empty shopping cart is moving at 7.67 m/s.

According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

Total initial momentum = total final momentum

100 kg ×5.0 m/s + 30 kg ×0 m/s = 100 kg ×2.7 m/s + 30 kg ×v

v = (5.0 - 2.7)(100/30) m/s

= 7.67 m/s.

Hence,  the empty shopping cart is moving at  speed of 7.67 m/s.

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Answer:

KE = 30 J

Explanation:

i used a kinetic energy calculater

Answer: Elephant

Explanation: Because of an elephants weight and size, it would require more force for acceleration when compared to a lion, mouse, and/or dog.

A ball has a momentum of 5 kg m/s before it hits a block of wood which is at rest. After the collision, the ball is at rest. the final momentum of the block remains constant as per the law of conservation of momentum.

As per the law of conservation of momentum, The complete momentum of two or more bodies acting on one another in an isolated system remains constant unless an external force is applied.

Hence, as per the statement given there is no external force is applying so, the final momentum of the block is equal to ball's momentum and remains constant.

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The domain of f(x) = –37 is all the real numbers. And, the range of f(x) = –37 is y = –37.

The given function f(x) = –37 is a horizontal line which goes from negative infinity to positive infinity.

In this case, the domain can be any number since there is no limit on what the x value can be.

So, the domain of the given function f(x) = –37 will be all real numbers.

And, the range will always be y = –37 because no matter what x value will equal, y will always be equal to –37 in the function of f(x) = –37.

So, the range of the given function f(x) = –37 will be y = –37.

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The refractive index of the unknown substance is 1.23.

Refractive indexes have no dimensions. This value represents how much slower a light wave would go through a substance than it would in a vacuum. When divided by the velocity of light in a medium, the refractive index, denoted by the symbol n, is obtained.

speed of light in vacuum = 3.00 × 10⁸ m/s.

speed of light in the medium = 2.43  × 10⁸ m/s.

Hence,  refractive index of the medium = speed of light in vacuum/ speed of light in the medium

= 3.00 × 10⁸/2.43 × 10⁸

= 1.23

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The energy of the photon can be calculated using the equation E = h * f, where E is the energy, h is Planck's constant (6.63 x 10^-34 Js), and f is the frequency of the photon (5.20 x 10^14 Hz). Plugging in the values, we get:

[tex]E = (6.63 x 10^-34 Js) * (5.20 x 10^14 Hz) = 3.48 x 10^-19 J[/tex]

The energy of a photon is directly proportional to its frequency. As the frequency of a photon increases, so does its energy. This relationship is described by the equation E= hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon. Therefore, if the frequency of a photon increases, the energy of that photon will also increase. This is why high-frequency photons, such as X-rays and gamma rays, have higher energies than low-frequency photons, such as radio waves.

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As a result, the first path would take 1 hour, 18 minutes to get you there.

Duration is the whole time that anything exists. A duration might be short, like the duration of a party, or it can be extensive, like the length of a lecture series. The time it takes to finish anything has come to be denoted by the term duration. Except for noon and midnight, use numerals for the times; separate the hours and minutes with a colon; and avoid using cyphers (double zeros) for complete hours.

It would take around 1 hour and 18 minutes to travel the first route, which is 70 miles long and travels at 55 mph. It would take around 1 hour and 21 minutes to travel the second route, which is 85 miles long and travels at a speed of 65 mph.

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Determine how much it would cost to heat a home's water for an hour every day for 60 days using a 2kW immersed rod at a rate of Rs. 1.50 per unit.

Why do you use the word "immersion"?

The act of totally coating something with a substance by dipping it into is called immersion. It could be literal—like diving headfirst into water—or metaphorical—like entirely giving yourself over to a task.

Why do we use immersion?

Answer and justification The resolution of a microscope is improved with immersion oil. It lessens the loss in light brought on by the specimen's refraction (light bending). When light passes through a different material, like a piece of glass

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Answer:

P V = N R T      Ideal gas equation

1 mole CO2 = 12 + 32 = 44 g

5 g = 5 / 44 = .114 moles

One definition of R is R = .08207 L-Atm / mole-deg K

P = .114 * .08207 * 298 / 10 = .279 Atmosphere

One needs to use care in using R in terms of other values given

The change that will would have resulted in a greater time for a projectile of mass m fired with an initial horizontal velocity vx from a height h above the ground is increase the height traveled by the projectile to 2h (option D)

The projectile's flight time is determined using the formulas below;

h = v₀t + ½ gt²

Where:

h = height (m)

v₀ = the starting velocity (m/s)

t = time (s)

g = the acceleration due to gravity (9.8m/s²)

v₀ (initial vertical velocity of the projectile) = 0

Hence,

2h = gt²

t = [tex]\sqrt{\frac{2h}{g} }[/tex]

The projectile's mass has no impact on how long it takes to travel if friction caused by air resistance is disregarded.

In the vertical direction, the initial horizontal velocity is not taken into account.

Therefore, increasing the projectile's height to 2h is the only method to lengthen its flight time.

The question is incomplete, it should be:

A projectile with mass m is fired with initial horizontal velocity vx from height h above level ground. Which change would have resulted in a greater time of flight for the projectile? [Neglect friction.]

A. decreasing the mass to m/2

B. decreasing the height to h/2

C. increasing the initial horizontal velocity to 2vx

D. increasing the height to 2h

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Which example shows Pascal's principle a hydraulic jack .

What is a hydraulic jack?

A hydraulic jack is a device used to lift heavy objects or materials by using a hydraulic cylinder to generate a large amount of force. It works by using a pump to transfer fluid from a reservoir into a cylinder, which in turn applies pressure to a piston.

When the pressure is high enough, the piston will push against the object it is lifting, allowing the user to raise or lower the object. Hydraulic jacks are often used for automotive repair, construction, and other heavy-lifting applications.

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The force of the car would be = 5000m/s²

Force is defined as the external push or pull that makes an object to move from one position to another.

Mathematically, force is defined as the product of mass and acceleration of a moving object.

That is, F = mass × acceleration

But acceleration= velocity/time

F = mass × velocity/time

mass = 1000kg

velocity = 30 m/s

time = 6 second

Force = 1000× 30/6

= 30000/6

= 5000 m/s²

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The volume of the balloon will be 0.494 liters.

Volume is described as a measure of three-dimensional space which  is often quantified numerically using SI derived units or by various imperial or US customary units.

We will use Charles law to solve for the volume and it states that  the volume of the gas is directly proportional to the temperature of the gas at constant pressure and number of moles.

Mathematically V1 / T1 = V2/ T2

where,

v1 = initial volume of gas = ?

v2 = final volume of gas = 0.54 L

T1 = initial temperature of gas = 273.15 K

T2 = final temperature of gas = 298.5 K

Substitute all the given values in the above equation, we get the initial volume of balloon.

V1 / 0.54 = 273.15/ 273.15

v1 = 0.494 liters.

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A body moves in a perfectly circular path at constant speed. There must be a force pulling toward the center of the circle. According to Newton's first law, there must a force present to keep the object moving in a circle rather than a straight line.

Newton's 1st law is to show the resultant force acting on an object with a composition equal to zero, so that an object that is initially at rest will always remain at rest. While an object initially moves in a straight line, it will forever continue to move in a straight line at a constant speed. So it can be concluded that in Newton's Law 1 the acceleration of an object is directly proportional to the force acting on the object and inversely proportional to the mass or weight of the object itself.

The properties of objects in Newton's 1st law tend to maintain their original state with the same inertia or degree of inertia. That is why Newton's 1st Law is also known as the Law of Inertia. The shape of the moment of inertia in Newton's 1st Law occurs in various forms, for example linear moments of inertia, mass moments of inertia, and polar or polar moments of inertia.

The magnitude of the stresses also differ according to the material used, such as bending stress and torsional stress, so the calculation can be based on the moment of inertia

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The refractive index of the eye cannot be determined with the information provided.

This refers to the value obtained from the ratio of the speed of light in a vacuum to that in a second medium of greater density.

The refractive index is also equivalent to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.

It can be calculated using the formula:

n = c/v.

where,

n = the refractive index of the eye

c = wavelength in empty space

v = the  velocity of light

From the question:

r = 0.78 cm

i = 3 cm

The radius of curvature and the location of the image formed by an object at infinity is related to the eye's optics, but the refractive index also depends on the materials of the various parts of the eye, such as the cornea and lens.

Hence, the refractive index can also vary depending on the specific wavelength of light being considered.

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The car's velocity is 36.07 m/s if A 2400 kg car traveling to the north is slowed down uniformly from an initial velocity of 21.0 m/s by a 7110 N braking force acting opposite the car's motion.

What is a simple definition of velocity?

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s).

What is an example of velocity and speed?

Velocity is speed with a direction. Saying Ariel the Dog runs at 9 km/h (kilometers per hour) is a speed. But saying he runs 9 km/h Westwards is a velocity. Imagine something moving back and forth very fast: it has a high speed .

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The solar energy is  Non-exhaustible resource​. Hence, option (d) is correct.

A natural resource that can be replenished to replace the portion used up by usage and consumption is known as a renewable resource, also known as a flow resource. This replenishment can occur naturally through reproduction or through other recurring processes in a limited amount of time on a human time scale.

The natural environment of the Earth and the main elements of its ecosphere are renewable resources. A resource's sustainability can be determined in large part by looking at its life-cycle assessment.

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The formula of a magnitude is  |v| =√(x2 + y2)

A vector formula's magnitude can be used to condense the numerical value of a particular vector. A vector has a magnitude and a direction. This magnitude of a vector formula provides a summary of the individual vector measurements along the x, y, and z axes. The symbol for it is |v|.

|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.

|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).

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The domain of that function is a real number or can be written as {x | x is a real number}. The range of that funciton is {y | y > 0}.

Domain is all possibly value of "x" for a function to keep functional. In short, domain is a parameter of the function to work.  By its definition, domain is a real number or in math written as {x | x is a real number}

As per given function f(x) = 4(3√81)ˣ. Because of there is no negative sign in the formula, The value of f(x) has to be greater than zero. So, f(x) > 0 or y > 0. Range = {y | y > 0}

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Answer:

one mole of each gas has the same number of molecules (Avogadro's No)

i mole He = 4 grams

1 mole Argon = 38 grams

1 mole Argon / 1 mole He = 9.5

one would need 950 ml of Ar gas