In this figure, why is the kinetic energy gained by the falling ball equal to the change of potential energy? (Assuming no loss of energy due to friction.)

Answers

Answer 1

Kinetic energy gained by the falling ball is equal to the change of potential energy is because mechanical energy remains conserved ,it only converts from one form to another form.

The mechanical energy stays rationed when just inner powers follow up on the body and no outside powers are in real life. It implies that motor and potential might continue to change all through the excursion. Be that as it may, their total is steady at each point.

The forces are moderate, i.e., they don't rely upon the way of the moving article and are just subject to the beginning and last position. For instance, the gravitational power is moderate in nature, though the opposition presented via air is non-moderate in nature as it relies upon the way.

From the diagram,we can see that object has potential energy =mgh because of height h.When it was dropped from height h potential energy starts decreasing and kinetic energy starts increasing because of velocity attained by the body.Since mechanical energy is conserved,therefore kinetic and potential energy is equal.

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In This Figure, Why Is The Kinetic Energy Gained By The Falling Ball Equal To The Change Of Potential

Related Questions

Define the term e.m.f

Answers

EMF is the Electromotive force. It is the electric potential difference which is produced by the cell or the surrounding magnetic field.

What is EMF?

Electromotive force is also known as electromotance or EMF. It is an energy transfer to an electric circuit per unit of the electric charge of the cell or the magnetic field. It is measured in units of volts. Devices which are used to measure electromotive force is called electrical transducers which provide an EMF by converting other forms of energy in the cell into electrical energy.

Other electrical equipment which can also produce an electromotive force, such as the batteries, also convert chemical energy, and generators, the devices which convert mechanical energy. This energy conversion can be achieved through physical forces that are applied physical work on electric charges. However, the electromotive force itself is not a physical force, and for the current ISO/IEC standards that consider the term deprecated, favoring the names which source voltage or source tension instead.

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a copper bar of length and negligible resistance slides at constant speed along metal rails. the bar is moving through a region in which there is a uniform magnetic field directed out of the page. a voltmeter is connected across a resistor of resistance . the resistor is connected to the metal rails as indicated in the diagram. (a) determine the magnitude of the magnetic force acting on the bar and indicate the direction of this force on the diagram. your answer should be in terms of the given variables and known constants.

Answers

The magnitude of the magnetic force acting on the bar , Fb is calculated to be = ILB.

What do you understand by magnetic force?

Magnetic force is defined as attraction or repulsion that arises between electrically charged particles because of the motion.

Given length , L and negligible resistance

uniform magnetic field, B

a) To determine the magnitude of the magnetic force acting on the bar:

If rod slides down with constant velocity then total force is zero

X direction  Fb - NsinФ

= Fb = NsinФ

Y direction, mg - NcosФ

mg = NcosФ

Now, Fb/mg = sinФ / cosФ

Fb = mg tanФ

But: Fb = I L B sinФ

The magnitude of the magnetic force acting on the bar , Fb = ILB.

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A 6.5-N ball is thrown with an initial velocity of 20 m/s at a 35° angle from a
height of 1.5 m.
a. What is the velocity of the ball if it is caught at a height of 1.5 m?
b. If the ball is caught at a height of 1.5 m, how much mechanical work is
required?

Answers

Answer:

a. The velocity of the ball, if it is caught at a height of 1.5 m, is [14.9, 19.7] m/s.

To find the velocity of the ball if it is caught at a height of 1.5 m, we can use the equation:

vf^2 = vi^2 + 2ad

Where vf is the final velocity, vi is the initial velocity, a is the acceleration due to gravity (-9.8 m/s^2), and d is the change in position.

Plugging in the values given in the question, we get:

vf^2 = 20^2 + 2*(-9.8 m/s^2)*(1.5 m)

Solving for vf, we get:

vf = [14.9, 19.7] m/s

b. If the ball is caught at a height of 1.5 m, the mechanical work required is 0 J.

To find the mechanical work required, we can use the equation:

work = force * displacement

Plugging in the values given in the question, we get:

work = 6.5 N * (1.5 m - 1.5 m)

Solving for work, we get:

work = 0 J

Therefore, if the ball is caught at a height of 1.5 m, the mechanical work required is 0 J.

A 47.0 kg cheetah can run with a speed of 31.0 m/s. What is the cheetah's kinetic energy?​

Answers

Answer:

22,583.5 J

Explanation:

KE = 1/2mv²

KE = 1/2(47 kg)(31.0 m/s)² = 22,583.5 J

part j bulb r4 is now removed from the circuit, leaving a break in the wire at its position. what is the current in the bulb r1 ? express your answer in amperes. templatessymbols undoredoresetkeyboard shortcutshelp i

Answers

I2 = V / R2 = 0.678 A ; I3 = V / R3 = 0.678 A are the current flows in R2 and R3.

Here R1 = R2 = R3 = R4 = 4.43Ω

And E = 9.01 V

When we removed the bulb bearing Ru, the equivalent circuit now becomes as shown.

Now R2 and R3 are in parallel, so their equivalent resistance

 1/Rp = 1/R2 + 1/R3

 Rp = 2.215 Ω

Again, R1 is connected Rp in series so equivalent resistance

R = R1 + Rp = 6.645 Ω

Current through ‘R1’ is

 I1 = V / R = 9.01 / 6.645 = 1.356 A

Potential across R2 and R3 is

 V = E – I1R1 = 3.0033V

So current through R2

  I2 = V / R2 = 0.678 A

Current through R3

 I3 = V / R3 = 0.678 A

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Keisha writes that if an object has any external forces acting on it, then the object can be in dynamic equilibrium but not static equilibrium.

Answers

The statement best describes Keisha's error is an object in either state of equilibrium must have no net force acting on it. The correct option is D.

What is dynamic equilibrium?

When a system is in a state of dynamic equilibrium, the reversible reaction that is occurring in it no longer changes the ratio of reactants to products, but there is still the movement of substances between the reactants and products.

Because the thing will be moving, it won't be at rest. An object is considered to be static when it is at rest. The external forces that are acting on an object are what will make it move. When external forces are no longer acting on the object, it will travel up to that point.

Therefore, the correct option is D, An object in either state of equilibrium must have no net force acting on it.

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The question is incomplete. Your most probably complete question is given below:

Which statement best describes Keisha's error?

An object that is not moving is always in static equilibrium.

O An object that is moving must be in dynamic equilibrium.

An object in either state of equilibrium must have no forces acting on it.

An object in either state of equilibrium must have no net force acting on it.

(1) Relief valves are used in pneumatic systems as damage-preventing units.
(2) Check valves are used in both hydraulic and pneumatic systems.
Regarding the above statements,
Both No.1 and No. 2 are true.
neither No. 1 nor No. 2 is true.
only No. 1 is true.

Answers

(1) Relief valves are components used in pneumatic systems to prevent harm. (2) Pneumatic and hydraulic systems both employ check valves. A- Both Nos. 1 and 2 are accurate in relation to the aforementioned assertions.

What do scientific units mean?

Any standard that is used to compare measurements is referred to as a unit. Measurements of a property that have been taken using various units—for example, inches to centimeters—can be accommodated using unit conversions.

What does SI mean in science?

The metric system, sometimes referred to as the SI, is the accepted unit of measurement on a global scale. World Metrology Day is an international holiday commemorating the signing of the International Treaty of the Meter in Paris on May 20, 1875, by seventeen nations, including the United States.

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why is there no gap in earths crust?


btw this is science it just doesn't appear as science in aa suubject

Answers

There is no gap in Earth's crust due to presence of magma beneath the Earth crust which usually erupt to fill the gap in the Earth crust.

What is great unconformity in Earth's crust?

There is a temporal gap that exist in Earth's known as the great unconformity.

The great unconformity is a massive temporal gap that can be found  famous crevasse and also in most places on the Earth's crust.

However, the great unconformity describes the temporal gap that exist in earth crust which disappears with time.

The presence of magma beneath the earth's crust ensures that there is no gap in Earth's crust as the magma always erupt upward to fill any gap between the Earth's crust and create new crust.

Thus, there is temporal gap in earth crust which disappears with time due to molten magma that erupts to fill the gap and create new crusts.

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You should place 2kg mass onto a 0.2 kg block. What is the total weight in newtons ?

Answers

The total weight in Newtown is 21.56 N.

What is weight?

The weight is an object is to the force of the acting on their object due to gravity.

Weight is a force described by the   physics which is due  to the gravitation pull of  earth mercury is the

It's magnitude can be the  calculated by multiplying the mass with the by the  acceleration due to gravity but to the

And direction is always to the the centre of earth has

the weight of an object is to the  force acting on their object by the  due to gravity. Something standard of living textbooks defined as the weight as a vector quantity, the gravtitational enegry and force to the relative acting on the object. Others define define weight as of scalar quantity, to the magnitude of the mangitude gravitational force.

Here earth acceleration due to gravity is g= 9.8 ms^-2

And mass is 2+0.2 = 2.2  kg

So weight is 2.2(9.8)

= 21.56 N

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The three bins represent three important properties of stars. Drag the items that we must measure in orrder to determine each property into the appropriate bin. distance orbital period in binary system apparent brightness orbital distance in binary system color or spectral type Luminosity Surface Temperature Mass

Answers

LUMINOSITY, distance, perceived brightness, surface temperature, -color or spectral type, MASS, -orbital period in binary system, -orbital distance in a binary system.

What does mass mean in a definition?

In physics, mass is a quantitative measure of inertia, a basic characteristic of all matter. It is essentially the resistance a body of matter gives to a change in its speed or location as a result of the application of a force.

What is the ideal description of mass?

A measurement of the volume of material that makes up or is contained within a physical body. Newton's laws of motion are based on classical mechanics, which relates an object's mass to the force needed to accelerate it and, consequently, to its inertia.

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Identify the 5 stages of mitosis:
Phase
Picture
What happens
________

Chromosomes are visible, nuclear membrane breaks down, spindle fibers begin to form.
________


Sister chromatids line up at the center of the cell.
________


Sister chromatids are pulled apart and move to opposite poles of the cell.
________


Spindle fibers breakdown, nuclear membrane forms, and chromosomes begin to uncoil and form chromatin.
________


Cytoplasm splits in 2 and the cell divides.

Answers

Answer:

the first one is Interphase

the second one is prophase

the third one is metaphase

the fourth one is Anaphase

the last one is Telophase

Which of the following describes the independent variable?

It is called the respondent variable.
It is plotted on the vertical axis when graphed.
It refers to a quantity changed by the experimenter.
It is something that remains controlled during trials.

Answers

It refers to a quantity changed by the experimenter.

The independent variable is a variable that is manipulated or controlled by the experimenter in an experiment. It is the variable that is thought to affect the dependent variable, which is the variable being measured or observed in the experiment. The independent variable is plotted on the horizontal axis when graphed, and is often referred to as the predictor variable. The respondent variable is not a commonly used term in scientific research.

in a physics lab, light with a wavelength of 520 nm travels in air from a laser to a photocell in a time of 16.8 ns . when a slab of glass with a thickness of 0.830 m is placed in the light beam, with the beam incident along the normal to the parallel faces of the slab, it takes the light a time of 21.0 ns to travel from the laser to the photocell.

Answers

The speed of light in air is 3.00x10^8 m/s, while the speed of light in glass is 2.00x10^8 m/s.

What is photocell?

A photocell, also known as a photoresistor, is a type of electronic component that is sensitive to light. It is made up of a semiconductor material which changes its electrical resistance when exposed to light. Photocells are used in many applications such as street lamps, security systems, digital cameras, and light-dependent resistors. They are also used to control electric motors, dimmers, and light switches.

Given this information, we can calculate the index of refraction of the glass using the equation:

n = (speed of light in air)/(speed of light in glass)

The index of refraction of the glass is thus calculated to be 1.50.

When light passes from the air into the glass, it is refracted, changing its direction. The light is bent away from the normal by an angle θ given by the equation:

sin θ = (index of refraction of glass) x (sin θ/n)

The angle of refraction θ is thus calculated to be 25.8°.

Once the light is refracted, it travels through the glass and is again refracted when it exits the glass. The angle of refraction for the second refraction is calculated to be 25.2°.

The total time it takes for the light to travel from the laser to the photocell is the sum of the time it takes for the light to travel through air.

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8. Consider the following equation: IQ (MA/CA) X 100. What does the MA stand for?
m-factor
mental age
male factor
multiple factor

Answers

Answer:

In the equation IQ (MA/CA) X 100, the MA stands for mental age. Intelligence quotient (IQ) is a measure of cognitive ability that is often calculated using the ratio of an individual's mental age to their chronological age, multiplied by 100. In this equation, MA refers to the individual's mental age, which is their level of cognitive development as measured by an intelligence test. CA refers to their chronological age, which is their actual age in years. The ratio of these two values is used to calculate their IQ score.

sixteen identical wires, each of diameter d and length l, are connected in parallel. the combination has the same resistance as a single similar wire of length l but whose diameter is:

Answers

Compared to a single comparable wire of length l but diameter 3d, the combination is the same resistance.

What results in opposition?

A conductor, such as an metal wire, acts as a conduit for the flow of electrons, which generate an electric current. With the atoms in the metal, the traveling electrons may collide. Resistant results from this and makes it more challenging for the stream to flow.

Exactly how is resistance measured?

Utilizing Ohm's Law, one may determine resistance by measuring the voltage and current. Thus, if the observed values of current and voltage are known, the resistance value of a circuit may be calculated. The measurement of resistance is done using both analog and digital multimeters, which use Ohm's Law as their guiding principle.

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2. A diverging lens has a focal length of 2.5 cm. If it is placed 4.0 cm from an object, at what distance from the lens will the image be located? Is the image bigger or smaller? Is it real or virtual?

Answers

The image distance is 0.65 cm and the image is real but diminished.

What is a diverging lens?

We know that for the diverging lens the light appears to be diverged from the source that it come in through. The focal length of the diverging lens is negative and the lens formula is used.

We have;

1/f = 1/u + 1/v

f = focal length

u = object distance

v = image distance

-1/2.5 = 1/4 + 1/v

1/v = 1/4 + 1/2.5

v = 0.25 + 0.4

v = 0.65 cm

The image is real but it is smaller than the object.

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Which statement is true

Cells usually take in large food molecules

Cells can get energy by breaking down molecules from food

Cells use energy to help an organism grow and live

Breaking down molecules does not release energy

Answers

All of the statements are true. Here's why:

Cells usually take in large food molecules. In order to get the nutrients and energy they need, cells have to take in large molecules like carbohydrates, proteins, and fats. These molecules are too big to pass through the cell membrane, so cells have to use specialized structures like lysosomes and vacuoles to break them down into smaller molecules.

Cells can get energy by breaking down molecules from food. When cells break down molecules from food, they release energy in the form of ATP (adenosine triphosphate). This energy can be used by the cell to power its functions, such as growth and metabolism.

Cells use energy to help an organism grow and live. The energy that cells get from

breaking down molecules from food is essential for maintaining the functions of the organism. Without this energy, cells would not be able to perform essential tasks like building new tissue, repairing damaged cells, and fighting off infections.
Breaking down molecules does not release energy.

Breaking down molecules actually requires energy, not releases it. In order to break down large molecules into smaller ones, cells have to use enzymes and other specialized structures. These processes require energy in the form of ATP, which is why cells need to take in energy from food in the first place.

The force of friction oil an airplane in level flight is given by Ff = kv^2, where k is some constant, and v is the speed of the airplane. When the power output from the engines is P0, the plane is able to fly at a speed v0. If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed given by (A) 1.12v0 (B) 1.26v0 (C) 1.41v0 (D) 2.82v0 (E) 8v0

Answers

If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed of 1.26[tex]v_{0}[/tex].

As, P = F v

So, P = kv³

Then, v/v0 = [tex]\sqrt[3]{P/P0}[/tex].

Therefore, after substituting the values, the speed will be 1.26[tex]v_{0}[/tex].

What is power?

In physics, power is the amount of energy transferred or converted per unit of time. In the International System of Units, the unit of power is the watt, which is equivalent to 1 joule per second. In older works, force is sometimes called activity. Power is a scalar quantity.

Power is related to other quantities. For example, the power required to move a ground vehicle is the product of drag, wheel traction, and vehicle speed. The power of a motor is the product of the torque produced by the motor and the angular velocity of the output shaft. Similarly, the power dissipated in an electrical element of a circuit is the product of the current through the element and the voltage across the element.

If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed of 1.26[tex]v_{0}[/tex].

As, P = F v

So, P = kv³

Then, v/v0 = [tex]\sqrt[3]{P/P0}[/tex].

Therefore, after substituting the values, the speed will be 1.26[tex]v_{0}[/tex].

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An object with charge -q is in motion near a wire that has a current I to the right. At the instant show in the figure, the object is traveling to the right with speed v. Both the wire and the motion of the object are in the plane of the page. Which of the following statements is true about the force on the object due to the current I at the instant shown?
O The force is directed toward the top of the page
O The force is directed toward the bottom of the page.
O The force is directed toward the right.
O There is no force on the object due to the current.

Answers

The correct answer is option A). The force is directed toward the top of the page.

When an object with charge q is moving near a wire with current I, the object will experience a force due to the magnetic field generated by the current in the wire. The direction of this force is determined by the right-hand rule.

According to the right-hand rule, if you point your right thumb in the direction of the current and your fingers in the direction of the motion of the charged object, the force on the object will be in the direction your palm is facing.

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Given the temperature data shown, which of these ecosystems is definitely in the northern hemisphere
answer choices
Daly Waters
Iquitos
Tindouf
These are all in the southern hemisphere

Answers

The ecosystem that is present in the northern hemisphere is Tindouf

Tindouf is the capital of Algeria's Tindouf province, a city close to the borders of Mauritania, Western Sahara, and Morocco which is located in the northern hemisphere. From the chromatogram drawn by Teresa Glass, we concluded that the city of Tindouf, Algeria is a desert biome with very low winter precipitation and high temperatures. This region is of strategic importance. It has an Algerian military base and airport, with regular flights to Algiers and other domestic destinations. Garet Djebilet's settlement is located in his Tindouf municipality near the border with Mauritania. The settlement has an iron mine and an abandoned airport, and is located about 70 kilometers northwest of Awinetbel his Egla.

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10. Which of the following statements BEST describes emotional intelligence?
Emotional intelligence is easily assessed.
Emotional intelligence relies on instincts to solve problems.
Emotional intelligence is closely correlated with verbal ability.
Emotional intelligence is the ability to manage personal feelings well and socially more adept.

Answers

The statement: Emotional intelligence is the ability to manage personal feelings well and socially more adept.

A cyclist enters a curve of 30-m radius at a speed of 12 m/s. As the brakes are
applied, speed is decreased at a constant rate of 0.5 m/s2. What are the magnitudes
of the cyclist’s radial and tangential accelerations when his speed is
10 m/s?

Answers

Explanation:

To find the magnitudes of the cyclist's radial and tangential accelerations when his speed is 10 m/s, we can use the equations for radial and tangential acceleration:

Radial acceleration: ar = v^2 / r

Tangential acceleration: at = a - ar

where ar is the radial acceleration, at is the tangential acceleration, v is the speed, r is the radius of the curve, and a is the acceleration (in this case, the deceleration of 0.5 m/s^2).

Plugging in the values given in the problem, we get:

ar = (10 m/s)^2 / (30 m) = 0.33 m/s^2

at = (-0.5 m/s^2) - (0.33 m/s^2) = -0.83 m/s^2

Therefore, the magnitude of the radial acceleration is 0.33 m/s^2, and the magnitude of the tangential acceleration is -0.83 m/s^2.

Note that the negative sign on the tangential acceleration indicates that it is directed opposite to the velocity, which is consistent with the fact that the cyclist is decelerating.

speed of light is always the same no matter how fast you are moving is very strange and counterintuitive. t/f

Answers

The statement "the speed of light is always the same no matter how fast you are moving" is true. This phenomenon is known as the constancy of the speed of light.

According to the theory of relativity, the speed of light in a vacuum is a constant value that is independent of the motion of the observer. This means that no matter how fast you are moving, you will always measure the speed of light to be the same value.

This idea may seem strange and counterintuitive, but it has been experimentally verified and is now a fundamental principle of modern physics. It has important consequences for our understanding of the nature of space and time, and it has played a key role in the development of many important scientific theories, including the theory of relativity.

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A circular loop of wire is positioned half in and half out of a square region of uniform magnetic field directed in the +z direction, out of the paper, as shown in the following figure. To induce a counterclockwise current in this loop

Answers

To induce a counterclockwise current in the circular loop of wire, you can use Faraday's law of electromagnetic induction.

Faraday's law states that the induced electromotive force (emf) in a closed circuit is equal to the negative of the rate of change of the magnetic flux through the circuit.

In this case, the magnetic field is directed out of the paper and is uniform within the square region. As the loop of wire is positioned half in and half out of the square region, the magnetic flux through the loop will change as the loop moves or as the magnetic field strength changes. This change in magnetic flux will induce an emf in the loop, which will cause a current to flow in the wire.

The direction of the current will be determined by Lenz's law, which states that the induced current will be in the direction that opposes the change in magnetic flux. Since the magnetic field is directed out of the paper and the loop is moving counterclockwise, the induced current will flow counterclockwise.

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a boy whose weight is 600N runs up a fight of stairs 10m high in 12s. what is his average power​

Answers

[tex]p = \frac{w}{t} [/tex]

[tex]w = fdcosθ [/tex]

where p is power

w is work done

t is time in seconds

f is force

d is distance

f=600N

d=10

t=12

w=600 X 10

w=6000 Nm

p=6000/12

p=500 watts

Important Formulas:

[tex]w=Fd[/tex]

[tex]p=\dfrac{w}{t}[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

power(measured in watts) = work(measured in joules) / time(measured in seconds)

__________________________________________________________

Given:

[tex]F=600N[/tex]

[tex]d=10m[/tex]

[tex]t=12s[/tex]

[tex]p=?[/tex]

__________________________________________________________

Finding work:

[tex]w=Fd[/tex]

[tex]w=600\times10[/tex]

[tex]w=6000J[/tex]

__________________________________________________________

Finding power:

[tex]p=\dfrac{w}{t}[/tex]

[tex]p=\dfrac{6000}{12}[/tex]

__________________________________________________________

[tex]\fbox{p = 500 watts}[/tex]

a projectile with two times the mass is placed into the launcher out with the same initial velocity would this change the range

Answers

Yes, the range would change. Since the mass of the projectile has doubled, its momentum has also doubled.

What is momentum?

Momentum is the measure of an object's resistance to changes in its state of motion. It is a vector quantity, meaning it has both magnitude and direction. Momentum is calculated by multiplying the mass and velocity of an object. Momentum is conserved, meaning that the total momentum of a system remains constant, even if the individual momentum of each object within the system changes. In a collision between two objects, the total momentum before the collision is equal to the total momentum after the collision. Momentum is a powerful concept and has many applications in physics. For example, it is the basis for the laws of motion, the conservation of energy, and the study of planetary motion.

Since momentum is conserved, the projectile's velocity after launch will be reduced. This in turn will reduce the range of the projectile, as it will not be able to travel as far with a lower velocity as it would with a higher velocity.

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This range would increase 4 times.

What does the term "projectile motion" refer to?

The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.

The projectile's motion is divided into two parts: vertical motion and horizontal motion. Furthermore, since perpendicular components of motion are not reliant on one another, it is necessary to discuss each of these two components of motion independently.

Range of projectile is  R=(vi²sin2∅)/g

So when the velocity is doubled, Range R will be

I.e R'= ((2Vi)²sin2∅)/g

R'=4(Vi²sin2∅)/g

R'=4R

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A professor wants to conduct a study to investigate which kind of note-taking technique (hand-written or computer-based) is better for memory and recollection. He decides to split his class into two groups - hand-written notes and computer-based notes - and measure better memory and recollection via the next exam scores. The two note-taking groups are what variable in the study?


independent variable


dependent variable


control variable


extraneous variable

Answers

According to the professor's research, both handwritten notes and computer-based notes qualify as independent variables.

The professor's study considers handwritten notes and computer-based notes to be independent variables. These other qualities will be examined to see if they change depending on note-taking technique, including better memory and exam recall.

What kinds of variables are the groupings for taking notes?

Because they are being examined for their potential to influence other factors, the note-taking groups that use handwritten and computerised notes are regarded as independent variables.

Better exam memory and recall are those other variables, and their changes in response to note-taking methodology will be investigated.

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In an experiment, a student measured the volume of a substance while the mass was changed. The student measured up to five kilograms. The graph of the data is plotted below.

A volume versus mass graph is shown with mass on the vertical axes from 1 to 10 kilograms and volume on the horizontal axis from 1 to 5 milliliters. A line from the origin through all points and beyond.

Which of the following is an error the student made in creating an accurate graph?

The axes and graph are based only on measured values.
The axes are labeled with the incorrect variables.
The plotted points do not show all data collected.
The title has the incorrect order for the variables.

Answers

The title has the incorrect order for the variables.

The error in the graph is that the title has the incorrect order for the variables. Therefore, option D is correct.

Variables are factors or quantities that can change or be manipulated and have an effect on the outcome of an experiment or the behavior of a system. They are essential in scientific investigations as they allow researchers to study and understand the relationships and dependencies between different factors.

There are two types of variables and that are independent variables and dependent variables. They provide a systematic way to investigate cause-and-effect relationships and understand patterns.

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considering both static and dynamic (time-dependent) situations, which of the figures represents possible configurations for electric field lines?

Answers

A field line is drawn at a location that is perpendicular to the net. Therefore, the tangent to the electric field line at any place coincides with the direction of the electric field there.

What encapsulates the electric field's relative strength?

Each field line has a direction written on it with an arrow, just like gravitational field lines do. This direction indicates the direction of the electric field at all places along the field line. The density of the field lines represents the relative field strength.

How do you show the existence of electric field lines?

Electric field is a vector quantity, hence a vector arrow can be used to depict it. The length of the arrows at any particular position is inversely proportional to the strength of the electric field there, and they all point in that direction.

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a 2.6 kg particle moves along an x axis, being propelled by a variable force directed along that axis. its position is given by x

Answers

The value of the constant c is -17 m/s2.

What is the variable force about?

To find the value of the constant c, you need to use the information given about the position of the particle and the force acting on it at time t = 3.0 s.

The position of the particle at time t = 3.0 s is given by x = 3.0 m + (4.0 m/s)t + ct2 - (2.0 m/s3)t3. Substituting t = 3.0 s into this equation gives:

x = 3.0 m + (4.0 m/s)(3.0 s) + c(3.0 s)2 - (2.0 m/s³)(3.0 s)3

= 3.0 m + 12.0 m + 9c - 54 m/s³

= 3.0 m + 12.0 m - 54 m/s³ + 9c

The force on the particle at time t = 3.0 s has a magnitude of 36 N and is in the negative direction of the x-axis. This means that the force is directed opposite to the direction of the positive x-axis. Since the force is proportional to the acceleration of the particle, the acceleration of the particle at time t = 3.0 s must also be in the negative direction of the x-axis.

The acceleration of the particle at time t = 3.0 s is given by the second derivative of the position with respect to time:

a = [tex]d^{2} \frac{x}{dt^{2} } = 2c[/tex]

Since the acceleration is in the negative direction of the x-axis, the value of c must be negative.

Substituting the value of the acceleration into the equation for the position of the particle at time t = 3.0 s gives:

x = 3.0 m + 12.0 m - 54 m/s³ + 9c

= 3.0 m + 12.0 m - 54 m/s³ - 9(-a/2)

= 3.0 m + 12.0 m - 54 m/s³ + 9a/2

= 3.0 m + 12.0 m - 54 m/s³ + 9(-36 N)/2

= 3.0 m + 12.0 m - 54 m/s³ - 162 N

= -147 m - 54 m/s³

Since the position of the particle at time t = 3.0 s is given as -147 m, the value of c must be:

c = (-147 m - 54 m/s³) / (9 s2)

= -17 m/s²

Therefore, the value of the constant c is -17 m/s².

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A 2.0 kg particle moves along an x-axis, being propelled by a variable force directed along that x-axis. Its position is given by x = 3.0 m + (4.0 m/s)t + ct2 - (2.0 m/s3)t3, with x in meters and t in seconds. The factor c is a constant. At t = 3.0 s, the force on the particle has a magnitude of 36 N and is in the negative direction of the axis. What is c?

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