A car accelerates at a rate of 2.0 m/s2. If its original speed is 8.0 m/s, how many seconds will it take the car to reach a final speed of 28.0 m/s?(Prefered is using KWEPA method)

The dependent variable go on the Y-axis on a graph.

The dependent variable is described as the variable that is being measured or tested in an experiment.

Dependent variable can be explained using the example where a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.

The independent variable is found on the x-axis (horizontal line) of the graph and the dependent variable is displayed on the y-axis.

The difference between independent variable and the dependent variable is that in an experiment, the independent variable is the variable that is varied or manipulated by the researcher.

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The pattern gets bigger as the light wave length gets longer. other maxima are further from the central one and are wider.

A wavelength is the distance between two identical locations (adjacent crests) in successive cycles in a waveform signals that is transmitted by a wire or in space. Typically, this length is expressed in feet (m), millimeters (cm), or millimeters (mm) in wireless systems (mm).

The distance that separates two wave crests is known as the wavelength, and it also applies to troughs. The number of vibrations that pass across a certain area in a second, or 60hz (Hz), is the unit of measurement for frequency (Hertz).

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The velocity of both objetcs after the collision is 3.07m/sec if both object masses are 6.2 kg and 8.0kg respectively.

To find the velocity of both objects we need to conserve the momentum. We need to follow the law of conservation of momentum which states that initial momentum is equal to final momentum.

Now, we know that momentum =mass × velocity

So, initial momentum of first object=6.2×3=18.6Kg-m/sec

Similarly, initial momentum of second object=8×3.5=28.0kg-m/sec

Now, it is given that both object stick together, so total mass of both objects are=(6.2+8)=14.2kg

Now, both objects are moving with common velocity, so assume both have velocity v

=>So, final momentum of both objects is =14.2×v

according to law of conservation of momentum

=>18.6+25=14.2v

=>43.6=14.2v

=>v=43.6/14.2

=>v=3.07m/sec

Hence, final velocity of objects are 3.07m/sec.

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The magnitude of Ernie's resultant velocity is    [tex]V=8.72m/s[/tex].

Velocity:

Velocity is the direction in which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time. In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

Given,

Ernie's swimming rate with respect to the river   [tex]V_{ER} =6.2 m/s[/tex]

River's current rate [tex]V_{R}=10.7 m/s[/tex]

Hence,

         The magnitude of Ernie's resultant velocity

                                               [tex]V[/tex] = [tex]V_{R} -V_{ER}=10.7i - 6.2j[/tex]

                                              [tex]V=\sqrt{(10.7)^{2}-(6.2)^{2} }[/tex]

                                              [tex]V=8.72m/s[/tex]

Hence,

           The magnitude of Ernie's resultant velocity is  [tex]V=8.72m/s[/tex].

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Given the following data:

Initial frequency = 0.83 Hz.

Additional mass = 780 grams to kg = 0.78 kg

New frequency = 0.60 Hz

To determine the value of the initial mass, m, we would apply the following formula:

;f=1/2л⟌k/m

Where:

F is the frequency.

m is the mass

k is the spring constant.

For mass (m):

0.83=1/2л⟌k/m    ...equation 1.

For additional mass:

0.60=1/2⟌k/m+0.78  ...equation 2.

Next, we would divide eqn. 1 by eqn. 2:

;0.83/0.60=1/2л⟌((k/m)/1)/2л⟌m+0.78

1.3833=⟌k/m/⟌k/m+0.78

Taking the square of both sides, we have:

1.9135=k/m/k/m+0.78

1.9135=k/m×m+0.78/k

1.9135=m+0.78/m

1.9135m-m=0.78

0.9135m=0.78

m=0.78/0.9135

m=0.8538kg

the value of mass is 0.8538.

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The cart of the supermarket will move 3.99 m if the shopper places an 84 N child in cart and is pushing.

Given that,

Mass of the cart = 25.1 kg

Horizontal force = 13.3 N

It is pushed for 3.6 sec

Mass of the cart and child = Total force/ Acceleration = (25.1* 9.8 + 84)/9.8 =  33.67 kg

From the equations of motion, we know,

Initial velocity = 0

Time t = 4.5 s

Distance s = ut + 1/2* a* t² = 0 + 1/2* (13.3/33.67)* (4.5)² = 3.99 m

Thus, the cart will move for 3.99 m after placing the child.

The question is incomplete. The complete question is 'A shopper in a supermarket pushes a loaded cart with a horizontal force of 13.3 Newtons. The cart has a mass of 25.1 kg and is pushed for 3.60 seconds, starting from rest.'

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The question that would allow a student to determine if a wave was an

electromagnetic wave are:

Option A and C are the correct options.

The question that would allow a student to determine if a wave was an

mechanical waves are:

Option B and D are the correct options.

This refers to a wave that has the ability to transmit its energy through a vacuum. Mechanical waves need a medium in order to send their energy from one location to another. An example of a mechanical wave is sound wave.

This refers to waves that are made as a result of vibrations between an electric field and a magnetic field.   Electromagnetic waves are made up of oscillating magnetic and electric fields.

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During a game of bowling the ball's motion:

The correct options are A,B and E.

Bowling ball motion is commonly divided into sequential skid, hook, and roll phases. When the ball moves down the lane in the skid and hook phases, frictional contact with the lane causes the ball's forward (translational) speed to continually decrease, but to continually increase its revolution rate (rotational speed).

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Answer:

x = A cos ω t          at t = zero, x displacement equals amplitude

x = .088 m cos ω t             describes the motion

We need yet to find ω in terms of P which is given

ω = √(k / m)        

P = 1 / f      and f = ω / (2 π)

Thus ω = 2 π f = 2 π / P       since 1 / f = P

This gives us

x = .088 m cos 2 π / .66 * t    

The new gravitational force between the object will be 1/20.25 times of the original force.

The gravitational force between any two object is defined as the product of the masses of the object and it is inversely proportional to the square of the distance between them which is given by,

F = GMm/R²

Here,

G is the universal gravitational constant, M and m are the mass of the body and R is the distance between them.

As per the given question the distance between the object is increased 4.5 times the original separation.

R' = 4.5R.

The new force of attraction between the object will be,

F' = GMm/(R')²

F' = GMm/(4.5R)²

F' = GMm/20.25R²

F' = F/20.25

So, the new force of attraction between the two objects will become 1/20.25 times of original force.

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The net force on the box is 40N.

The net force acting on an object is the result of all pushing and pulling forces acting on the object collectively (the sum). If there is an imbalance in the pushing and pulling forces acting on an object, the object will accelerate in the direction of the net force.

According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resultant force and the resultant force.

Force = m × a

40 = 10 × a

a = 40/10

a = 4m/s²

Net force ∑F = m×a

∑F = 10 × 4

∑F = 40N.

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Answer:

(A)   9.2 Newtons

(B)   200.8 Newtons

Explanation:

Attached is the free body diagram I drew along with some of the work/formulas I used. Please ask me any questions you have in the comments about my diagram/work. I'd be happy to walk you through it.

Tension of the three cables connecting the  celling, 7 kg ball, 4 kg ball,  5 kg ball respectively 156.8 N,  88.2 N and 49 N.

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

Tension of the cable connecting the  celling and 7 kg ball:

= (7 kg + 4 kg + 5Kg) × 9.8 m/s²

= 156.8 N.

Tension of the cable connecting the  7kg ball and 4 kg ball:

= (4 kg + 5Kg) × 9.8 m/s²

= 88.2 N.

Tension of the cable connecting the  4kg ball and 5 kg ball:

= 5Kg× 9.8 m/s²

= 49 N.

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The deductible level that would result in the lowest premium for automobile insurance is from  $250 or $500

For those who anticipate needing expensive medical care or continuous medical treatment, a plan without a deductible typically offers good coverage and is a wise decision.

In most circumstances, a plan's premium will be lower the larger its deductible. You save money on what you pay each month when you're willing to pay more up front when you need care.

The typical range for a comprehensive deductible suggested by insurance agents is between $100 and $500. It makes sense to have a smaller deductible for comprehensive claims because they often involve less damage than collision claims.

High-deductible health plans typically have cheaper premiums but need greater upfront payments before insurance will cover medical expenses. Meanwhile, higher premiums are typically associated with health insurance plans with lower deductibles since they provide more predictable expenses and frequently more robust coverage.

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Answer:

.45 J

Explanation:

The work is also equal to the EPE of the spring and is given by

 1/2 k x^2

= 1/2 ( 10 n/m) (.8-.5)^2 = .45 J

The final temperature of the piece of iron with the mass of 9.8 grams on the absorption of 365J of energy is 113.56°C.

The specific heat capacity of a material can be defined as the quantity of heat energy (J) which is absorbed per unit mass (kg) of the material when its temperature is increased by 1 K (or 1 °C). The SI unit of specific heat capacity is J/(kg K) or J/(kg °C).

The specific heat capacity of a material can be calculated by the formula:

Q = m × c × ΔT

where, Q = heat energy,

m = mass of the material,

c = specific heat capacity,

ΔT = change in temperature

The final temperature of the piece of iron can be calculated by the formula:

Q = m × c × ΔT

ΔT = (Final temperature - initial temperature)

365J = 9.8 × 0.46 × ΔT

365J = 4.508 × ΔT

ΔT = 80.96

ΔT = Final temperature = initial temperature

ΔT = (T - 32.6)

80.96 = (T - 32.6)

T = 80.96 + 32.6

T = 113.56°C

Therefore, the final temperature of the piece of iron is 113.56°C.

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If an X-ray camera uses X-rays with a wavelength of 4.04. the frequency of the x-rays is 36.9 PHz.

Compared to ultraviolet rays and gamma rays, X-rays have a wavelength of 0.01–10 nm, which corresponds to frequencies in the range of 3×10⁻¹⁶–3×10⁻¹⁹ Hz and energies in the range of 100 eV to 100 keV.

using, C=Lf,

Where C is the speed of light,

L stands for  wavelength

Given,

C= 8.13 nm = 8.13* 10-9 m

f=C/L

f= (3x108m/s) / (8.13^ 10-9 m)

f= 3.69 x1016Hz (10 PHz = 1016Hz)

hence frequency, f= 36.9 PHz

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It has been estimated that solar eclipses occur around three times more frequently than lunar eclipses. However, that statistic fully disregards penumbral lunar eclipses.

As a result, only a small portion of the Earth can observe solar eclipses, making it challenging to travel to a spot where one may be seen. They are therefore less frequently visible from any given position.

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To keep the car from slipping, the road and tires need to have a minimum coefficient of friction of 0.188.

The things creating friction will determine the coefficient of friction. The value is often between 0 and 1, but it can also be higher. A number of 0 indicates that there is absolutely no friction between the items; superfluidity makes this feasible. Yes. Because the adhesive forces between molecules are stronger when the contact surface is substantially polished, frictional force increases. In this situation, the friction coefficient will be higher than one.

Here m= 1402 kg

r=53

v= 9.9 m/s

g=9.8

coefficient = (v^2) / rg

coefficient = (9.9^2) / (53*9.8)

coefficient = 98.01/519.4

coefficient = 0.188

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The torque being applied by the mass of the minute hand itself is 3470.303N-m. if it has mass of 130kg.

In material science and mechanics, torque is a standard mechanical amount, what might be compared to direct force.[1] It is likewise alluded to as the snapshot of power (likewise shortened to second). It addresses the capacity of a power to deliver change in the rotational movement of the body. The idea began with the examinations by Archimedes of the use of switches, which is reflected in his well known expression: "Give me a switch and a spot to stand and I will move the Earth".  The law of preservation of energy can likewise be utilized to grasp force. The image for force is ordinarily , the lowercase Greek letter tau. While being alluded to as snapshot of power, it is normally signified by M.

Torque is given by the formula=r×F

or Torque=rFsinθ

Now,we have r=6meter,F=130 ˣ 9.8=1274N,θ=27°,sin27°=0.453

So,Torque=6 ˣ 1274ˣ0.453

=>Torque=3470.303N-m.

Hence,torque applied by the mass is 3470.303N-m.

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(Complete question) is:

if the minute hand has a mass of 130 kg, what is the torque being applied by the mass of the minute hand itself?length of minute hand is 6 meters long,and angle made by minute hand is 27 degrees.

In a one-dimensional string, a harmonic wave has a maximum transverse velocity and maximum transverse acceleration of 1ms-1 and 1ms-2, respectively.

We have attached a harmonic wave with a frequency of 80 Hodge to the string. Additionally, a positive extraction travels at a speed of 12 m/s with an amplitude of 0.025 m. Next, we must create a proper wave function for this wave in the first. In light of this.

we have established that the frequency F is the hurt amplitude is 0.025 m, and the speed is 12 m/s. As a result, given that we are aware of the wave function's writing, we may determine whether or not the sign K x minus omega T applies. Omega, which equals two pi into, is the angular frequency in this case. Thus, we can say that this word has been introduced. 80 is to be purchased That makes 160 by, too.

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Answer:

None of the choices you provided are correct. When a gas burns, it releases energy in the form of heat and light. Some of this energy is transferred to the pot of water, increasing its temperature, but some of the energy is also released as light. However, the rest of the energy is not transformed into chemical, electrical, or nuclear energy. Instead, it is lost to the environment in the form of waste heat. This is why gas stoves can become hot to the touch - they are releasing excess energy in the form of heat that is not being used to heat the pot of water.

Explanation:

The centripetal acceleration of the Cart is 20 m/s2.

Centripetal acceleration is a change in velocity that points toward the center of a circular path. It is the acceleration an object experiences when its velocity changes direction, but its speed remains constant. It is always directed toward the center of the circle and is caused by a force, such as gravity or friction. The magnitude of the centripetal acceleration is equal to the square of the object's velocity divided by the radius of the circle. Examples of centripetal acceleration include the motion of a satellite orbiting the Earth, a car rounding a curve, and a roller coaster car making a loop.

Given that,

Speed of the Cart = 10m/s

Radius of the loop = 5m

We know that the acceleration of the car can be computed as follows:
a = v2/R
a = (10.0 m/s)2/(5.0 m)
a = 20.0 m/s2
Thus, the centripetal acceleration of the Cart is 20 m/s2

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Note that the sentences with the blank spaces are completed as follows;

The periodic table, commonly known as the periodic table of elements, is an arrangement of chemical elements in rows and columns. It is frequently utilized in chemistry, physics, and other disciplines, and is widely regarded as a chemical icon. Because of the arrangement of the elements, it is known as the periodic table.

The periodic table is important because it is arranged to give a wealth of information on elements and their relationships to one another in a single reference.

The table may be used to forecast the characteristics of all elements, even those yet to be found.

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The speed of the person as she enters the water is 14.2 m/s.

Kinetic energy is the energy of motion. It is the energy that an object has due to its motion. This energy can be transferred from one object to another or converted into other forms of energy. Kinetic energy is dependent on an object's mass and its velocity. The greater an object's mass or velocity, the more kinetic energy it has. Kinetic energy can be used to do work, such as powering a machine or vehicle. It can also be used to generate electricity or to heat up objects.

The speed of the person as she enters the water can be calculated using the equation for kinetic energy:
KE = ½mv²
Where m is the mass of the person (65 kg) and v is the speed.
Solving for v, we get:
v = √(2KE/m)
Since the potential energy of the person just before she enters the water is equal to the kinetic energy of the person just after she enters the water, we can calculate the kinetic energy as:
PE = mgh
KE = mgh
Where m is the mass of the person (65 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the platform (10 m).
Plugging this into the equation for v, we get:
v = √(2mgh/m)
v = √(2gh)
v = √(2*9.8*10)
v = 14.2 m/s

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Explanation:

If you dropped particles of different shapes from a boat into still water, they would fall straight down due to the force of gravity. The speed at which they fall would depend on their mass and the shape of the particles could affect how they move through the water, but ultimately they would all sink to the bottom of the water body. If the particles are buoyant, they may float instead of sinking.

In conduction, heat is transferred when two objects are brought into close proximity. Heat is transferred within the fluid when convection takes place. Heat is transferred through electromagnetic waves without the use of particles in a process known as radiation. Heat transfer occurs because of the temperature difference.

Heat is transferred via electromagnetic energy in a process known as radiation. When we sit close to a heater in the winter, radiation from the heater spreads electromagnetic energy across our bodies. Because electromagnetic waves are emitted by hot objects like heaters and do not require a medium to travel through.

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An object's centre of mass must be surrounded by an equal amount of mass on both sides. It is untrue.

The centre of mass of an item typically, but not always, sits within the thing itself. For instance, a ball's centre of mass is located in its exact centre, while a book's centre of mass is located in its middle.

When two objects of equivalent mass and speed approach one another, they stay together. After staying together, the two surfaces come to rest while retaining motion but losing kinetic energy. several of the energy of motion gets converted to thermal energy, or heat.

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The mass of the rock will be 20 kg. This can be determined from the kinetic energy equation, k = 1/2 mv².

Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Kinetic energy may be transmitted from one thing to another, for example during collisions, and is determined by the mass of an item and its movement or speed.

Given in the question,

Kinetic Energy of rock = 2000J

Velocity of rock = 20 m/s

also, k.e. = 1/2 mv²

       2000 = 1/2 m × 20²

       m = 20 kg

The mass of rock that blew in the sky was 20 kg.

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The velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.

To find the velocity of the water where the pipe is narrow, you can use the formula for the mass flow rate, which is given by:

Mass flow rate = Density * Flow rate

= Density * (Area * Velocity)

Where:

Density is the density of the fluid

Flow rate is the volume flow rate, or the rate at which volume flows through the pipe

Area is the cross-sectional area of the pipe

Velocity is the velocity of the fluid

The mass flow rate is constant, so you can set the mass flow rate on either side of the constriction equal to each other and solve for the velocity on the other side.

The cross-sectional area of the pipe on the narrow side is given by the formula for the area of a circle:

A = pi * r^2

Where:

A is the cross-sectional area of the pipe

r is the radius of the pipe

The radius of the pipe on the narrow side is 3 cm / 2 = 1.5 cm. Plugging this value into the formula for the cross-sectional area, you get:

A = pi * (1.5 cm)^2

= 7.07 cm^2

The cross-sectional area of the pipe on the wide side is given by the same formula, with a radius of 6 cm / 2 = 3 cm:

A = pi * (3 cm)^2

= 28.27 cm^2

Since the mass flow rate is constant, you can set the mass flow rates on either side of the constriction equal to each other and solve for the velocity on the other side:

(Density * 7.07 cm^2 * v) = (Density * 28.27 cm^2 * 8 m/s)

Solving for v, the velocity on the narrow side, you get:

v = (Density * 28.27 cm^2 * 8 m/s) / (Density * 7.07 cm^2)

= 11.6 m/s

The final value for the velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.

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