An object at rest is suddenly broken apart into two fragments by an explosion one fragment acquires twice the kinetic energy of the other what is the ratio of their masses

Answers

Answer 1
First, we use the kinetic energy equation to create a formula: Ka = 2Kb 1/2(ma*Va^2) = 2(1/2(mb*Vb^2)) The 1/2 of the right gets cancelled by the 2 left of the bracket so: 1/2(ma*Va^2) = mb*Vb^2 (1) By the definiton of momentum we can say: ma*Va = mb*Vb And with some algebra: Vb = (ma*Va)/mb (2) Substituting (2) into (1), we have: 1/2(ma*Va^2) = mb*((ma*Va)/mb)^2 Then: 1/2(ma*Va^2) = mb*(ma^2*Va^2)/mb^2 We cancel the Va^2 in both sides and cancel the mb at the numerator, leving the denominator of the right side with exponent 1: 1/2(ma) = (ma^2)/mb Cancel the ma of the left, leaving the right one with exponent 1: 1/2 = ma/mb And finally we have that: mb/2 = ma mb = 2ma

Related Questions

Whether or not incoming information is perceived as meaningful influences one's attention to it. T F

Answers

This would be True. Hope this helps!  :)

Answer:

True

Explanation:

Information is data being sent and received it generally carries meaning behind it. Attention is the process by which a person can selectively concentrate on a specific part of information

If a person is sending another person information that the receiver cannot understand it is meaningless to the receiver. However, if the receiver can understand the meaning of the information then the receiver pays attention the information.

We can determine the velocity of a wave when given the frequency and the (2 points) A amplitude. B equilibrium. C trough. D wavelength.

Answers

We can calculate the velocity (v) of a wave by multiplying frequency (f) by its wavelength (λ). This can be said quantitatively as:

v = f × λ

Hope this helps! 

We can determine the velocity of a wave when given the frequency and wavelength is given.

What is frequency and wavelength of wave?

A wave's frequency essentially indicates how frequently waves happen. In other words, frequency is the quantity of finished wave cycles in a given time interval or the quantity of waves passing a given place in a given time interval, such as per second.

High frequency waves are those that pass a certain place more frequently or that complete more cycles per second. Low-frequency waves travel farther and take longer to reach their destination.

Wavelength can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave.

We can determine the velocity of a wave when given the frequency and wavelength.

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What does the law of conservation of energy state?

Answers

The total amount of energy remains constant in an isolated system. It implies that energy can neither be created nor destroyed, but can be change from one form to another.

Three light bulbs are connected to a battery in a series circuit. How will the bulbs behave if the circuit is closed?

Answers

A)

The correct answer is All three bulbs will glow. Closing the circuit allows energy to flow through all three bulbs.

a projectile leaves the ground with a velocity of 35 meters per second at an angle 32° what is the maximum height

Answers

To determine the maximum height for the projectile, we can use the timeless kinematics equation [tex]V _{f} ^{2} -V_{i}^{2}=2a \Delta y[/tex] and plug in what we know. For [tex]V _{f} ^{2}[/tex], we know it is zero because at the highest location of flight, there is no vertical velocity. For [tex]V _{i} ^{2}[/tex], we know it is [tex](35sin(32))^{2}[/tex] since the vertical component is the sine of the velocity. We need to solve for [tex]y[/tex], so it is left as-is. Since the only acceleration is [tex]g[/tex], we can substitute -9.81 into it. Solving for the equation yields a solution of 17.55 m for [tex]\Delta y[/tex].

Final answer:

The maximum height reached by the projectile is approximately 35.77 meters.

Explanation:

To find the maximum height of a projectile, we can use the equation h = (v₂sin²Θ)/2g, where h is the maximum height, v is the initial velocity, Θ is the launch angle, and g is the acceleration due to gravity. In this case, v = 35 m/s and Θ = 32°. We need to convert the launch angle to radians, so Θ = 32° * (π/180°) = 0.558 radians.

Plugging the values into the formula, we get h = (35₂sin²(0.558))/(2*9.8) = 35.77 meters. Therefore, the maximum height reached by the projectile is approximately 35.77 meters.

Given an element’s atomic number and mass number, how can you tell the number of protons and neutrons in its nucleus?
A. Number of protons = mass number; number of neutrons = atomic number – mass number
B. Number of protons = atomic number; number of neutrons = mass number + atomic number
C. Number of protons = atomic number; number of neutrons = mass number – atomic number

Answers

the answer more than likely based on research would be (B.)

The number of protons and neutrons in its nucleus can be determined with the help of the following process:

The number of protons = atomic number; the number of neutrons = mass number – the atomic number.

Thus, the correct option for this question is C.

What do you mean by Protons?

Protons may be defined as the type of subatomic particles that are significantly present in the nucleus of an atom along with neutrons. These subatomic particles are positively charged in nature. Protons were discovered by Ernest Rutherford.

An atomic number of an element may be characterized as the number of a chemical element in the periodic system, whereby the elements are arranged in order of increasing the number of protons in the nucleus.

The number of neutrons may be calculated with the difference between the mass number of the atom and the atomic number.

Therefore, the correct option for this question is C.

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Why are volcanoes on mars taller than those on earth?

Answers

1. Lower gravity allows volcanoes to grow higher if you have them. 2. Mars is large enough to have had volcanoes in its past (though it does not have active volcanoes now). 3. Weathering is very low on Mars, so large volcanoes stay large. 4. Mars probablly didnt have any (or much) plate tectonics in its past. This means that heat from the interior had only a few places to escape from (hot spots) rather than all sorts of places to leak out (like the Ring of Fire).

How to find acceleration using time and distance?

Answers

 as long as the object is accelerating, all you have to do is to multiply the average velocity by 2 to get the velocity.

To find the acceleration, you take velocity and divide it by the time. if it is traveling uniformly
Final answer:

To find acceleration using time and distance, you determine the change in velocity and divide it by the time elapsed. You can also use the relationship distance = velocity x time, derived from speed = distance/time. The SI units for acceleration are m/s².

Explanation:

To find acceleration given time and distance, you need to understand the underlying physics principle - Newton's second law of motion. Here's a step-by-step process:

You need to determine the initial and final velocities to find the change in velocity.After identifying the elapsed time, these values will allow you to calculate acceleration, as defined by Δv/Δt (Change in velocity divided by the time taken)Acceleration can also be derived from the speed-distance-time relationship, which states speed = distance/time.An equation can be rearranged from this relationship such that distance = velocity x time.

Therefore, with known values of time and distance, you can find the acceleration. Remember, the SI units for acceleration are m/s² (metres per second squared).

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When released , what is the kinetic energy of the 1c charge of the preceding problem if it flies past its starting position?

Answers

a) When a charge is moved in an electric field the work done (W) is calculated as charge*(change in potential). We can write W = q*V or V = W/q = 10/1 = 10V . This voltage is a difference in electric potential between 2 points within the field. If the charge is positive, and positive work is done upon it, then the final position is more positive than the original one. 

b) If a charge (Q) is released from rest and falls through a potential difference V, then its gain in energy (KE if no other force acts on the charged body) is q*V = 10J. This is the same as the work done in moving the charge to its new position in part (a), and is an example of the conservation of energy.

What is the centripetal force that would be required to keep a 4.0 kg mass moving in a horizontal circle with a radius of 0.80 meters at a speed of 6.0 meters/second?

Answers

Answer:

1.8 × 102 newtons radially inward

Answer:

The centripetal force will be 180 N inward.

Explanation:

Given that,

Mass = 4.0 kg

Radius = 0.80 m

Speed = 6.0 m/s

The centripetal force is define as the mass multiplied by tangential velocity squared, divided by the radius.

The formula of the centripetal force

[tex]F = \dfrac{mv^2}{r}[/tex]

Where, m = mass

v = velocity

r = distance

We substitute the value into formula

[tex]F = \dfrac{4.0\times6.0\times6.0}{0.80}[/tex]

[tex]F= 180 N[/tex]

Hence, The centripetal force will be 180 N inward.

how Long will it take a plane flying north from Miami to reach New York City 1800 km away if the average velocity of the plane is 940 km/h

Answers

Answer: 1.91 hours or 1 hour and 55 minutes

Procedure:

Average speed = distance / time

=> time = distance / average speed

=> distance = 1800 km / 940 km/h = 1.91 hours

0.91 hours * 60 min / hour = 54.9 min = 55 min

=> 1 hour and 55 min.

The wavelength of a wave is the distance between

Answers

Two consecutive crests

A slide inclined at 35 takes bathers into a swimming pool. with water sprayed on the slide the bathers spends only one third as much timeo n the slide as whne its dry. find the coefficient of friction on the dry slide

Answers

Refer to the figure shown below.

mg =  the weight of the person on the slide.
N = mg cos(35°) = 0.8192 mg, the normal reaction
F = mg sin(35°) = 0.5736 mg, the force acting down the slide.
R = μN = 0.8192 μmg, the resisting force due to friction
μ = the coefficient of dynamic friction on the dry slide.
d =  the length of the slide.
g = 9.8 m/s²
All measurements are in SI units.

We shall consider two cases.

Case 1 (The slide is lubricated by water spray).
Assume that the coefficient of friction is approximately zero.
Let a = the acceleration down the slide. Then
0.5736 mg = ma
a = 0.5736g = 5.6213 m/s²

Let t = the time to travel the length of the slide from rest.
d = (1/2)*(5.6213 m/s²)(t s)² = 2.8106t² m     (1)
t² = 0.3558d
t = 0.5965√d s                                             (2)

Case 2 (The slide is dry)
The time to travel down the slide is 3*(0.5965√t) = 1.7895√t s.
Let a = the acceleration. Then
0.5796mg - 0.8192μmg = ma
a = 0.5796g - 0.8192μg = 5.6801 - 8.0282μ  m/s²

The travel doen the slide from rest is given by
d = (1/2)*(5.6801 - 8.0282μ)*(1.7895√t)²
d = (9.0947 - 12.8544μ)t²                           (3)

Equate (1) and (3).
9.0947 - 12.8544μ = 2.8106
12.8544μ = 6.2841
μ = 0.489

Answer:  μ = 0.49  (nearest hundredth)
Final answer:

To find the coefficient of friction on a dry water slide, we use the fact that the bather takes one third the time to slide down when it's wet. This implies an acceleration due to friction, which we can relate back to the coefficient of friction using the right equations.

Explanation:

The student is trying to find the coefficient of friction on a dry slide. To do this, we need to use the equations for motion on an inclined plane. The two primary forces here are the gravitational force pulling the bather down the slide and the frictional force opposing this movement. The gravitational force, parallel component, is mg sinθ, while the frictional force is μmg cosθ. On a smooth slide, acceleration of a sliding body is given by g sinθ. When friction comes into play, the acceleration becomes g (sinθ - μ cosθ). Given that the bather's time on the slide is one third when it's wet (indicating friction is negligible), the frictional force on the dry slide was causing the bather to take three times longer due to hindrance.

To find the coefficient of friction μ, we can use these formulas. Since speed = distance/time and distance, on both wet and dry slide, stays the same, the time ratio should equate to the square root of the acceleration ratio. We can set up the equation as: √(1/3) = (sinθ - μ cosθ) / sinθ, and solve for μ.

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The density of an object is how much matter it contains.

a. True

b. False

Answers

Answer:

False

Explanation:

The density is mass divided by volume

which of the following is a characteristic of a mixture

Answers

I believe you forgot to add the choices. I will tell you some of the characteristics of mixtures and I hope you find one of them in the choices you have.

A mixture is a physical combination between two or more elements. No chemical reaction is involved in the formation of mixtures.
The components of the mixture can be separated using physical methods such as filtration, boiling and condensation.
Examples of mixtures include mixture of sugar and water or mixture of salt and sugar.

What do the different colors in a line spectrum represent? why are the spectra for each element unique?

Answers

They typically represents different wavelengths of element due to its energy emission in the form of visible light. When an electron of that particular element move from a higher energy level down to a lower energy level, it gives off energy in the form of photon emission. Atom of a certain element has a unique electron arrangement thus it can considered that particular element's spectrum is unique.
Final answer:

The different colors in a line spectrum represent the different wavelengths of light emitted or absorbed by an element. Each element has a unique line spectrum because of the arrangement of electrons in its atoms.

Explanation:

The different colors in a line spectrum represent the different wavelengths of light emitted or absorbed by an element. Each element has a unique line spectrum because the wavelengths of light it emits or absorbs are specific to that element. This uniqueness is due to the arrangement of electrons in the element's atoms and the energy levels they occupy.

The different colors in a line spectrum represent the different wavelengths of light emitted or absorbed by an element. Each element has a unique line spectrum because of the arrangement of electrons in its atoms.

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The first movement of a classical symphony is almost always fast, and in ___________ form. sonata rondo minuet theme and variations

Answers

Sonata form, consisting of three main sections (exposition, development, recapitulation), is sometimes revisited, and often quoted in the finale as well.
Final answer:

The first movement of a classical symphony is typically composed in sonata form and features a fast tempo. The sonata form includes three sections: exposition, development, and recapitulation.

Explanation:

The first movement of a classical symphony is usually fast-paced and composed in a sonata form. Sonata form, also known as first-movement form, consists of three main sections: the exposition, the development, and the recapitulation. The exposition introduces the main musical themes, the development elaborates and changes these themes, and the recapitulation reprises these themes. This structure is often found in the first movements of classical symphonies, although there are exceptions.

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It usually takes more force to start an object sliding than it does to keep an object sliding because static friction is usually _____greater _______________ than sliding friction.

Answers

the answer is already in the blank for, its was greater

If two objects have the same volume but one has a greater mass, the one with greater mass ___

A. Has lower density
B. Has higher density
C. Will float
D. Will sink

Answers

the answer is B) Has a higher density
the answer is b

hope it helped!

What are the advantages and disadvantages of viewing a specimen with a high power objective lens?

Answers

The advantage of using a high power scope is that it gives you the most magnification possible. The only problem with it is that the field of view drops, because you are really zoomed in on a certain portion of a specimen.
-WarriorConcerto

It doesn't flip the image, it's incredibly affordable, and the photograph is in three dimensions. The limited resolution, low amplification, and solely intended for exterior assessment are drawbacks.

What is a lens?

A lens is a transmissive optical tool that employs refraction to focus or disperse a light beam. The power of the lens is expressed in the dioptre which is the reciprocal of the focal length of the lens.

The image formation through the lens is calculated with the help of the lens formula given as follows

1/f = 1/v - 1/u

With a high-power optical viewfinder, you can "zoom" in closer to the item being observed and observe more detail thanks to the increased degree of magnifying it offers. A lower power lens will, however, offer a larger field of view.

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In which situations is nuclear power most beneficial? Check all that apply.
1.if there is a high concentration of people
2.if there is a nearby supplies of fossil fuels
3.if there is an isolated location
4.if there are few other energy resources
5.if there are few people in scattered towns

Answers

Final answer:

Nuclear power is particularly beneficial in areas with high population concentrations and where there are few other energy resources. Due to uranium's high energy efficiency, the environmental impact is minimized, and it's a carbon-free power source, helping combat global warming. However, its benefits need to be weighed against potential safety and sustainability risks.

Explanation:

In which situations is nuclear power most beneficial? Nuclear power is most advantageous in scenarios where there are few other energy resources and in high-concentration population centers. The benefits of nuclear energy over fossil fuels are numerous, particularly when it comes to the efficiency of uranium. This substance generates significantly more power per unit weight or volume than coal, meaning less material needs to be mined, thus reducing environmental impact. In addition, nuclear power does not emit carbon dioxide during operation, making it a strong contender for reducing global warming.

Contrary to the proximity of fossil fuel supplies, nuclear power does not rely on nearby sources of fossil fuels, making it beneficial for isolated locations where transportation of fossil fuels would be logistically challenging or expensive. Likewise, for areas with a high concentration of people, the scalability and high-energy yield of nuclear power can meet the substantial electricity demands more effectively. However, when it comes to regions with scattered populations such as few people in scattered towns, distributed generation technologies like solar and wind might be more suitable and cost-effective.

It is essential, however, to weigh these advantages against the sustainability and safety concerns associated with nuclear power. The production of dangerous waste that must be stored safely for thousands of years, the potential for nuclear proliferation, and the risk of accidental radiation leaks are crucial factors that need to be considered carefully by scientists, policy makers, and citizens alike.

Nuclear power is most beneficial in 1. if there is a high concentration of people, 3. if there is an isolated locations, and 4. if there are few other energy resources.

Nuclear power is beneficial in certain situations due to its capability to generate large amounts of energy without emitting air pollutants like fossil fuels. Here are the most suitable situations for nuclear power:

If there is a high concentration of people: In densely populated areas, the demand for reliable and substantial energy is much higher. Nuclear power plants can meet this demand efficiently.If there are few other energy resources: In locations with limited access to renewable energy resources (like solar or wind power), nuclear energy serves as a powerful alternative to meet energy needs.If there is an isolated location: Isolated areas might lack the infrastructure for other energy sources. Nuclear power can provide a consistent and powerful energy supply without requiring frequent fuel deliveries.

Other situations, such as having nearby supplies of fossil fuels or having few people in scattered towns, might not derive as much benefit from nuclear energy due to the cost and scale of nuclear power plants.

What causes a disturbance that results in a wave?

Answers

The correct explanation is that a wave is caused by a disturbance that transfers energy from one place to another without the transfer of matter.

A wave is a disturbance that travels through a medium or space, transporting energy from one location to another. The disturbance can be initiated by various sources.

For example, when a stone is dropped into a pond, the impact causes a splash and a series of ripples to move outward across the water's surface. These ripples are waves. Similarly, sound waves are caused by vibrations of objects, which create disturbances in the air, and seismic waves are generated by the sudden movement of rock within the Earth's crust.

 In all cases, waves are characterized by their ability to transport energy without the physical transport of the medium's particles. The particles of the medium (such as water, air, or rock) oscillate about their equilibrium positions as the wave passes through, and this oscillation is what carries the wave's energy.

The energy of the wave can cause subsequent particles to oscillate, thus propagating the disturbance through the medium.

The nature of the wave (whether it is transverse, longitudinal, or a combination of both) depends on the direction of the particles' oscillations relative to the direction of energy transfer.

In summary, the cause of a wave is an initial disturbance that sets particles of a medium into motion, creating a pattern that moves through the medium, carrying energy with it.

This disturbance can be the result of various forces or events, such as mechanical vibrations, gravitational pulls, or nuclear reactions, and the specific characteristics of the wave will depend on the properties of the medium and the nature of the disturbance.

A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it started. What is the plane's displacement?

Answers

You can use the Pythagorean theorem to solve this problem.
Along the x-axis, displacement is 190km 
Along the y-axis, displacement is 80km

x² + y² = r²
[solve for r]
r = √((190)² + (80)²)
r = 206.16km 

tanθ = (y/x)
[solve for θ]
θ = tan⁻¹(80/190)
θ = 22.83°

Therefore, displacement of plane is 206.16 km 22.83° north of east
or 
206.16 km 67.17° east of north

The plane's displacement value is 212.13  km.

What is the plane's displacement?

After taking off, a plane travels in a straight line and ends up 190  km further east and 800.0 km farther north than it began. 

For this, we ought to apply Pythagoras's theorem. 

Distance 2 = 190^2 + 80^2 =212.13   km,

which, rounded out, equals about 212.13  km.

190^2 + 80.0^2 = 45000

[tex]\sqrt{45000}[/tex]

212.13

The plane's displacement value is 212.13  km.

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes.

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With some manipulation, the rydberg equation can be rewritten in the form e=constant×(1nf2−1ni2) which allows you to calculate the energy of the emitted light. what is the value of the constant needed to complete this equation? express the constant in joules to three significant figures.

Answers

The value of the constant needed to complete the equation is the Rydberg constant for hydrogen, which has a value of 1.09737 × 10^7 m^-1. When expressed in joules with three significant figures, it is approximately 2.18 × 10^-18 J.

Explanation:

The constant needed to complete the equation e = constant × (1nf2−1ni2) is called the Rydberg constant for hydrogen. The Rydberg constant has a value of 1.09737 × 107 m-1. To express this constant in joules with three significant figures, we can use the conversion factor between meters and joules, which is provided as 1 meter = 1.99 × 10-25 joules. Multiplying the Rydberg constant by this conversion factor gives us a value of 2.18 × 10-18 joules.

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Star a is green, star b is yellow, and star c is red. which one of these is the hottest star?

Answers

i believe its  A . green 
yes green even though blue stars are the hottest

A truck moves 60 kilometers east from point A to point
b. At point B, it turns back west and stops 15 kilometers away from point
a. What are the total distance and total displacement of the truck? The total distance is 105 kilometers, and the total displacement is 15 kilometers east. The total distance is 105 kilometers, and the total displacement is 45 kilometers east. The total distance is 60 kilometers, and the total displacement is 60 kilometers east. The total distance is 60 kilometers, and the total displacement is 45 kilometers east. The total distance is 105 kilometers, and the total displacement is 75 kilometers east.

Answers

The total distance is 60*2-15=105 kilometers, and the total displacement is 15 kilometers east.

Answer:

Option A is the correct answer

Explanation:

Let i represent positive X axis ( east).

A truck moves 60 kilometers east from point A to point  B

       Displacement = 60 i km

       Distance = 60 km

At point B, it turns back west and stops 15 kilometers away from point  A

       Displacement = -45 i km

       Distance = 45 km    

Total

       Displacement =60 i - 45 i = 15 i km Towards east

       Distance = 60+ 45 = 105 km    

Option A is the correct answer

Collaboration and communication are important in science because?

Answers

They increase the likelihood of a positive outcome

Final answer:

Collaboration and communication in science are key to disseminating research findings and advancing scientific knowledge. Through collaboration and peer review, scientific work is validated and can be further built upon. Effective communication also helps in securing funding and informing the public.

Explanation:

Collaboration and communication are crucial in science because they enable the dissemination of research findings and the advancement of scientific knowledge. Through collaboration, scientists can plan, conduct, and analyze research collectively, which enhances the quality and impact of their work. Effective communication is necessary for sharing results beyond the confines of conferences and meetings, achieving this through peer-reviewed publications. These publications undergo a process of peer review to ensure that the research is original, significant, logical, and thorough. This process also allows other scientists to reproduce the experiments and expand upon the findings, creating a foundation for further discovery and innovation.

Furthermore, effective communication skills are critical when interacting with funding agencies or the general public to convey the importance and relevance of scientific work. Without transparent communication and open collaboration, scientific progress would be stymied, and opportunities for new discoveries may be lost. Additionally, successful collaboration often relies on technology to bridge geographical distances, allowing for ongoing dialogue and exchange of ideas without the necessity of being in the same physical location.

In what region of the electromagnetic spectrum is a photon found that possesses twice as much energy as one in the blue region (442 nm) of the visible spectrum?

Answers

The answer is: ultraviolet The energy (E) of a photon is directly proportional to its frequency f, by Planck's formula: E = hf, where h is Planck's constant (6.625 * 10**-34 joule-second). The frequency is inversely proportional to the wavelength w by: f = c/w, where c is the speed of light, 3.0 * 10**8 meters per second. Combine these formulas and we see that the energy is inversely proportional to the wavelength by: E = hc/w If the energy is inversely proportional to the wavelength, a photon with twice the energy has half the wavelength of our 442-nm. photon in this example. So its wavelength is 221 nm. which is in the ultraviolet range.

What is the final speed of an object that starts from rest and accelerates uniformly at 4.0 meters per second2 over a distance of 8.0 meters? 1. 8.0 m/s 2. 16 m/s 3. 32 m/s 4. 64 m/s

Answers

Considering that the acceleration is uniform [tex]a=4 (m/s^2)[/tex] we apply the equation
[tex]v^2=v0^2+2as[/tex]
with zero initial speed 
[tex]v^2=2as[/tex]
and we obtain the speed
[tex]v^2 =2*8*4 =64 (m/s)^2[/tex]
Thus [tex]v=8 (m/s)[/tex]

Answer:

Explanation:8.0m/s

According to the work-energy theorem, the amount of work done can be determined using which formula?

Answers

Answer:

[tex]W=K_f -K_i = \frac{1}{2}mv_f^2 -\frac{1}{2}mv_i^2[/tex]

Explanation:

The work-energy theorem states that the amount of work done is equal to the variation of kinetic energy of the object, therefore:

[tex]W=K_f -K_i = \frac{1}{2}mv_f^2 -\frac{1}{2}mv_i^2[/tex]

Where:

m is the mass of the object

[tex]v_i[/tex] is the initial velocity of the object

[tex]v_f[/tex] is the final velocity of the object

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