The electric field is 135 N/C at the center of the two charges, which equals [tex]4.50 * 10^7 N/C[/tex], Hence the correct option is (C).
To find the electric field at the midpoint between two point charges, we can use the formula:
[tex]E = k * (q1 + q2) / r^2[/tex]
here,
E is electric field,
k is Coulomb constant [tex](9 * 10^9 Nm^2/C^2)[/tex],
q1 and q2 are charges, and
r is distance between the charges.
In this problem, we have two charges of 30 μC each, which means q1 = q2 = 30 [tex]\mu C = 30 * 10^-^6 C[/tex]. The distance between the charges is 4 cm, or 0.04 m, so r = 0.02 m.
To find the electric field at the midpoint between the two charges, we need to find the electric field due to one of the charges at the midpoint, and then double that value to account for the contribution of the other charge.
The midpoint between the two charges is 2 cm, or 0.02 m, from each charge. Therefore, we can use the formula to find the electric field due to one of the charges at the midpoint:
[tex]E1 = k * q1 / r^2 = (9 * 10^9 Nm^2/C^2) * (30 * 10^-^6 C) / (0.02 m)^2 = 67.5 N/C[/tex]
To find the total electric field at the midpoint, we need to double this value:
[tex]E = 2 * E1 = 2 * 67.5 N/C = 135 N/C[/tex]
Therefore, the electric field at the midpoint between the two charges is 135 N/C.
Answer: C. [tex]4.50 * 10^7 N/C[/tex]
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If a man has an average useful power output of 40.0 W, what minimum time would it take him to lift forty 15.0 kg boxes to a height of 1.00 m? The value of g is 9.80 m/s2
The minimum time it would take the man to lift forty 15.0 kg boxes to a height of 1.00 m with an average useful power output of 40.0 W is 147 seconds.
The work done in lifting one 15.0 kg box to a height of 1.00 m is given by:
W = mgh = (15.0 kg)(9.80 m/s²)(1.00 m) = 147 J
The work done in lifting forty boxes is:
W_total = (40 boxes)(147 J/box) = 5880 J
The time required to do this work is given by:
t = W_total/P = 5880 J/40.0 W = 147 s
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what quantity determines how hard it is to change an object’s motion / velocity?
Mass is the quantity that determines how hard it is change an object's motion or velocity.
Velocity is a vector quantity, i.e., it has both magnitude and direction. Velocity is the rate at which an object moves and is expressed in terms of m/s. The change in velocity of an object over a specific period of time is called the acceleration of that object. To determine how hard it is to change the object's motion or velocity, you need to be familiar with a quantity called its mass.
According to Newton's second law of motion, the force applied on an object to move it can be illustrated by the formula:
F = m*a, where F is the force, m is the mass, and a is the acceleration of the object. Thus, we can say that mass determines how hard it is to change the motion or velocity of the object. If it is a lighter object, it can be accelerated easily with a less force applied, while a heavier object would require more efforts and hence more force would be applied to change its state.
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As the sound propagates from one place to the other in air ,the air itself is not required to move from one place to the other
True, As the sound propagates from one place to the other in air ,the air itself is not required to move from one place to the other.
How does sound move from one location to another?
Parts of the medium that a sound is traveling through alternately compress and expand as it does so. According to science, sound is a vibration that moves through a transmission medium like a gas, liquid, or solid as an acoustic wave.
Therefore, only the energy of the moving particles is transferred during the creation of sound, not the actual particles themselves. Therefore, it is true that the air does not necessarily need to shift from one location to another in order for the sound wave to travel from one to the other.
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how many grams is in a quarter pounder
The one quarter pounder quantity will be equivalent to the approximately 113.4 grams.
A pound or pound-mass is a unit of mass or weight used in the British Imperial and American customary systems of measurement. It is also a unit of measure, 1 pound = 16 ounces. So one quarter pound equals 4 ounces. A gram is a unit of mass or weight in the International System of Units. Hence, both are units of mass or weight. We have to convert quater pounder in grams. To convert from one unit to another always a constant number is used which is called conversion factor. Now, ounces to grams, we can use the conversion factor that one ounce = 28.3495 grams.
So, to calculate required grams are in a quarter pound, we can multiply 4 ounces by the conversion factor, quarter pounder = 4 ounces × 28.3495 grams/ounce = 113.398 grams. Hence, the required value is approximately 113.4 grams.
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How much force does an 80 kg astronaut exert on his chair while sitting at rest on the launch pad?
The astronaut exerts a force of approximately 784.8 Newtons on his chair while sitting at rest on the launch pad.
The force that an 80 kg astronaut exerts on his chair while sitting at rest on the launch pad is equal to his weight. This is because, in the absence of any other external forces, the only force acting on the astronaut-chair system is the force of gravity. which is given by:
force = mass x gravity
where the mass is 80 kg and the acceleration due to gravity is approximately 9.81 m/s^2.
Therefore, the force exerted by the astronaut on his chair is:
force = 80 kg x 9.81 m/s^2 = 784.8 N
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a student moves a distance of 4.0 m for 2.0 seconds. she then moves a distance of 1.0 m. i fthe total time she moved was 4.0 seconds, what was her velocity during the second time interval?
Answer:
Explanation:
We can use the formula for average velocity to calculate the student's velocity during the second time interval:
Average velocity = (final position - initial position) / time
During the first time interval, the student moved a distance of 4.0 m in 2.0 seconds, so her average velocity during that time was:
Velocity = 4.0 m / 2.0 s = 2.0 m/s
During the second time interval, the student moved a distance of 1.0 m, and the total time she moved was 4.0 seconds. Therefore, the time for the second interval was:
Time = Total time - First time interval = 4.0 s - 2.0 s = 2.0 s
We can now use the formula for average velocity again to calculate the student's velocity during the second time interval:
Average velocity = (final position - initial position) / time
Velocity = 1.0 m / 2.0 s = 0.5 m/s
Therefore, the student's velocity during the second time interval was 0.5 m/s.
how is steam different from water vapor?
The water vapour and steam are two forms of gaseous state of water. Each of them differs slightly from the other. They can be differentiated by few points explained below.
While all types of vapour are referred to as steam, not all types of vapour are considered to be steam. Water that is in its gaseous state is referred to as steam. In some situations, steam and water vapour are interchangeable terms. The term "steam" can also be used more colloquially to describe the combination of vapour and aerosol liquid water droplets suspended in the vapour.
When a material is heated to a vapourous state, steam is created. However, when a substance is kept in typical conditions, the steams that are generated are referred to as vapours.
This is explained with an example. When water is boiled, a significant quantity of steam is produced, which is extremely hot due to the energy it contains.
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What volume, in liters, does 128 grams of O2 occupy at STP? A) 89.6 LB) 22.4 LC) 67.2 LD) 44.8 L
At STP, 128 grams of oxygen occupy an area of 89.6 liters.
option A
Simply put, the space occupied by a three-dimensional solid is its volume. Solids include a cube, a cuboid, a cone, a cylinder, or a sphere. Many shapes have different volumes.
Each three-dimensional item needs a certain amount of room. This area's volume has been calculated. The area filled by an item within the confines of three-dimensional space is referred to as its volume. The capacity of the thing is another name for it.
32 grams of oxygen make up 1 mole.
128 g / 32 g/mol = 128 g / mol of oxygen
= 4.0 mol O2
This has volume at standard temperature and pressure.
4.0 mol divided by 22.4 L/mol
= 89.6 L
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when is your potential energy and kinetic energy at the max at a swing
Potential energy is held in a swing when it is pulled to one side, and when it is released, it transforms into kinetic energy. The topmost position of it has the highest potential energy, whereas the bottommost position, where the kinetic energy is highest, has the lowest potential energy.
When does kinetic energy peak during a swing?The swing's bottom, where gravity's potential energy is at its lowest, has the most kinetic energy. The pendulum keeps swinging upward while slowing down and losing kinetic energy as well as potential energy from gravity.
Where does the potential energy peak during the swing?Some of the swing's potential energy transforms into kinetic energy as it descends. The swing's kinetic energy is at its highest since it is going at its fastest speed while it is at its lowest point.
Why is the extreme position where potential energy is greatest?When bob has the greatest displacement relative to its mean position in a basic pendulum, that is an extreme position. The potential energy of the bob is at its highest point and the kinetic energy is at its lowest point in this position. Acceleration and velocity are both zero when in an extreme posture.
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why is the bohr atom described as a planetary model?
Answer:
the electrons circle around the nucleus
Explanation:
since you can see the electrons in their respective orbitals in the Bohr model it has been deemed the planetary model. Like how planets orbit the sun, electrons orbit the nucleus.
what does the presence of molecular bands in the spectrum of a star indicate?
The presence of molecular bands in the spectrum of a star indicates the chemical composition of its atmosphere.
The spectrum of a star is a graph that shows the intensity of light emitted by the star at different wavelengths. When this light passes through the star's atmosphere, it interacts with the gases and elements present there. This interaction creates absorption lines and bands in the spectrum, which can be used to determine the chemical composition of the star's atmosphere.
Molecular bands in the spectrum indicate the presence of molecules in the star's atmosphere, such as hydrogen, helium, water vapor, carbon dioxide, and methane.
By analyzing the spectrum of a star, astronomers can determine its chemical composition and gain insights into its properties, such as its temperature, density, and age.
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A 225-kg crate is pushed horizontally with a force of 710 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate.
According to the questions the crate accelerates at a rate of 1.196 m/s2.
What is accelerate?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate. The direction of the net force exerted by an object determines the direction of its acceleration. A vehicle is said to be accelerating there in direction of travel when it begins at rest (zero velocity in an inertial frames of reference) and moves straight ahead at increasing speeds.
a = (F-mgμ)/m............ Equation 1
Where:
a = acceleration of the crate
m = mass of the crate
F = Force applied to the crate
μ = Coefficient of friction
From the question,
Given:
m = 225 kg
F = 710 N
g = 9.8 m/s²
μ = 0.20
Replace the aforementioned numbers in equation 1
a = [710-(225×9.8×0.20)]/225
a = (710-441)/225
a = 269/225
a = 1.196 m/s².
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what is build an atom
which type of bell interacts more with high-pitched sounds?
According to the given information Small type of bell interacts more with high-pitched sounds.
What is high pitched and low pitch sound?High pitch sounds are those that have a high frequency. Shouts are frequently of rather high pitch. A whistle, for instance, appears to have a high pitch. Sounds with a low frequency rate have a low pitch.
How do you find high pitch sound?Downloading a sound level software would be the simplest approach to find out how loud this whining sound is (most are free). You want an app that measures both frequency (Hz) and decibel level simultaneously, while others simply measure decibel level (loudness). one which assesses both.
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the ___________ connect the cables to the deck in order to pull on the cables, which transfer the pull on the towers and anchors.
The answer is Hangers. The "hangers" connect the cables to the deck in order to pull on the cables, which transfer the pull on the towers and anchors.
Hangers also said as "Hooks" are metal elements used to attach cables to the bridge. Hooks are usually made of a metal, like stainless steel, and are attached to the deck with bolts or screws.
The cables are then passed through the lines which allow them to be taut and transmit power to the towers and the anchors. With the ropes, the cables can be stretched and securely connected to the deck. The hooks also help protect the cables from wear and tear on the caused by cable tension and movement.
Hangers are essential to any cable suspension bridge as they ensure that the cables are properly connected to the deck and can withstand the loads required for the bridge to operate safely.
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our friend of mass 110 kg can just barely float in fresh water. part a calculate her approximate volume
Our friend's approximate volume is approximately 0.110 m^3.
To calculate the approximate volume of our friend, we can use the fact that she can just barely float in fresh water. This means that her weight is equal to the buoyant force acting on her. The buoyant force is given by the equation:Buoyant force = density of water x volume of displaced water x gravity
Since our friend is just barely floating, the buoyant force is equal to her weight, which is 110 kg x 9.81 m/s^2 = 1079.1 N. The density of fresh water is approximately 1000 kg/m^3.Using these values, we can rearrange the equation to solve for the volume of displaced water:
Volume of displaced water = Buoyant force / (density of water x gravity)
Volume of displaced water = 1079.1 N / (1000 kg/m^3 x 9.81 m/s^2) ≈ 0.110 m^3
Therefore, our friend's approximate volume is approximately 0.110 m^3.
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why would a baseball player see a baseball flying through the air before he hears the crack of the ball on the bat?
A baseball player see a baseball flying through the air before he hears the crack of the ball on the bat because the sound is made as the ball flies through the air. The eyes react faster than ears. Light moves faster than sound.
What are light waves ?The term light wave defined as the motion of light conceptualized as a wave, defined by such properties as reflection, refraction, and dispersion.
The light waves heavily traveled back from the sky, obtaining energy, and the sound waves traveled in a straight line, losing energy, making the sound to be delayed.
Thus, The eyes react faster than ears. Light moves faster than sound.
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one joule of energy used each second is equal to ? of work.
Exactly, 1 Joule of energy per second is what is used to define a Watt. Joules and seconds, respectively, are the SI units for time and work. A power of 1 Joule per second was used to define a Watt.
A one newton (N) force applied over a one meter distance does one joule's worth of work (or energy) (m).. To put it simply, it requires approximately 1 joule of energy to raise a 3/4 pound weight 1 foot off the ground or to drag something 1 foot using a parallel pulling force of 3/4 pound. According to this definition from physics, 1 volt is the same as 1 joule of electric potential energy divided by 1 coulomb of charge. The power unit is the watt. According to this, 1 joule of labor is completed in 1 second. It is, in essence, the ability of an appliance to use energy at a rate of 1 joule per second.
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which unit would be most appropriate for measuring the volume of a rain drop?
Milliliters (ml) or cubic millimetres are the most suitable units for calculating a raindrop's volume (mm3).
Raindrops are quite tiny and usually have volumes between 0.1 and 0.5 millilitres. Small, precise volume measures like millilitres or cubic millimetres are ideal for measuring these volumes.
A raindrop's volume can change depending on its size and form, as well as external conditions like air pressure and temperature.
For measuring the volume of a single raindrop, units of volume such as litres or cubic metres are too vast and would not offer sufficient precision. Thus, the units that are best suited for measuring the volume of a raindrop are millilitres or cubic millimetres.
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A pot of water is being heated on the stovetop. The water molecules closest to the burner rise in the pot when they gain thermal energy. In 1–2 sentences, explain why the water rises.
Heat is transferred to the water. The water molecules which are in the pot become more active, and the temperature of the water rises.
What is the Kinetic energy?Kinetic energy is the energy of the objects which is present due to the motion of the object. Kinetic energy is proportional to the mass and velocity of the object. The SI unit of Kinetic energy is Joule (J).
The kinetic energy is possessed due to the motion of the particles. The kinetic energy is directly proportional to the temperature of objects. The kinetic energy of the particles increases with the rise in temperature of object or solution.
In the given situation, the pot of water is placed on the stove. Then, the heat is transferred to the water in pot. The water molecules will move faster with the rise in temperature of the water. The water molecules will have greater amount of kinetic energy due to increase in temperature.
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A bullet of mass m1 is fired horizontally with a speed vo into the bob of a ballistic pendulum of mass m2. The pendulum consists of a bob attached to one end of a very light rod of length l. The rod is free to rotate about a horizontal axis through its other end. The bullet is stopped in the bob. Find the minimum vo such that the bob will swing through a complete circle
The minimum velocity vo required for the bob to swing through a complete circle is:
[tex]vo = \sqrt\frac{(m1v02 + m2v02 - m2g2l2)}{m1}[/tex]
Using conservation of energy, we can solve for the minimum velocity required for the bob to swing through a complete circle.
The total initial energy of the system is:
[tex]Ei =\frac{1}{2} m1v02 +\frac{1}{2} m2v02[/tex]
The total final energy of the system is:
[tex]Ef = \frac{1}{2} m2vf2 + mg2l2[/tex]
where vf is the velocity of the bob after the collision and g is the gravitational acceleration.
Equating the initial and final energy, we have:
[tex]\frac{1}{2}m1v02 +\frac{1}{2} m2v02 =\frac{1}{2}m2vf2 + mg2l2[/tex]
Solving for vf, we have:
[tex]vf = \sqrt{} \frac{(m1v02 + m2v02)}{m2 - g2l2}[/tex]
The minimum velocity required for the bob to swing through a complete circle is given by the expression:
[tex]vo = \sqrt \frac{(m2vf2 + mg2l2)}{m1}[/tex]
Substituting the expression for vf, we have:
[tex]vo = \sqrt{ \frac{(\frac{m2(m1v02 + m2v02)}{m2 - g2l2})}{m1}[/tex]
[tex]vo = \sqrt\frac {(m1v02 + m2v02 - m2g2l2)}{m1}[/tex]
Therefore, the minimum velocity vo required for the bob to swing through a complete circle is:
[tex]vo = \sqrt\frac{(m1v02 + m2v02 - m2g2l2)}{m1}[/tex]
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10. What is the potential energy of a 3 kg ball that is up a hill of height 40 meters?
Answer:
1200J
Explanation:
m=3,h=40 while g= 10m/s^2
P.E=mgh
= 3 x 40 x10
=1200J
Coulomb's law is similar to Newton's law of gravitation in several ways. Which one of the statements is not a similarity between these two laws?
a) In both laws, the force is inversely proportional to the square of the distance between two particles.
b) In both laws, the force decreases with increasing distance between the two particles.
c) In both laws, the force is proportional to the product of an intrinsic property of each of the two particles.
d) In both laws, the force is always one of attraction between the two particles.
e) In both laws, there is a proportionality constant that appears.
Out of the given statements, the statement which is not a similarity between these two laws is the force is always one of attraction between the two particles. Correct option is C.
Both Coulomb's law and Newton's law of gravitation are inverse square laws.
Coulomb's law, mathematically, is given as, F = k q₁ q₂/r²
where,
F is the electric force
k is the coulomb's constant
q₁, q₂ are the charges
r is the distance
Newton's law of gravitation is mathematically given as, F = G m₁ m₂/r²
where,
F is the gravitational force
G is the gravitational constant
The masses of two objects are m₁, m₂.
r is the distance
The square of the distance between two particles and the force are inversely related in both equations.
The force in both laws diminishes as the distance between the two particles grows.
The force is inversely proportional to the product of an intrinsic characteristic of the two particles in both laws.
A proportionality constant can be found in both equations.
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Which form of energy is NOT correctly associated with the related example?A. kinetic energy: fat moleculesB. kinetic energy: movement of musclesC. chemical energy: glucoseD. potential energy: water held behind a damE. potential energy: ATP
Answer:
kinetic energy;fat molecules
Explanation:
fat molecules rather provides potential energy..so , the correct option is kinetic energy;fat molecules
how to convert 600 kg to lbs?
600 kilograms is equal to 1322.4 pounds.
While measuring weight, various units like kilograms (kg) and pounds (lbs) are some commonly used units of measurement of weights. In order to understand and do all the conversion of kilograms to pounds, it is very important to know that there are 2.20462 pounds which makes up one kilogram.
Formula used:
lbs = Kg x 2.204
lbs= 600 x 2.204
So, to convert 600 kilograms to pounds, there is a requirement of multiplying 600 to 2.20462. When this calculation is done, we obtain 1322.4 pounds.
In summary, to need to convert kilograms to pounds and thereafter, we simply need to multiply the number of kilograms by numerical value of 2.20462. 600 kg is equal to 881.848 pounds. 200 kg is equal to 440.924 pounds and consequently 300 kg is equal to 661.386 pounds.
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how much work is done (in j) when a weight lifter lifts 130 kg from 1.5 m to 2.0 m above the ground? (use 9.8 m/s2 for g.)
The work done is 1,944 J, when a weight lifter lifts 130 kg from 1.5 m to 2.0 m above the ground
What does work done mean?Work done is a term used to describe the amount of effort that has been expended on a particular task or project. It can refer to the amount of time and energy that has been put into something, or the amount of progress that has been made. It can also refer to the results of that work, such as the completion of a task or the production of a product. Work done is typically measured in terms of hours worked, milestones achieved, or the amount of output produced.
when a weight lifter lifts 130 kg from 1.5 m to 2.0 m above the ground, the work done is
Work = [tex]force\times distance[/tex]
Work = [tex]mass\times gravity \times height[/tex]
Work = [tex]130 kg\times 9.8 m/s^2 \times 0.5 m[/tex]
Work = 1,944 J
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on an ecg machine that meets the international standard, the paper moves at ________.
On an ECG machine that meets the international standard, the paper moves at 25 mm/s.
The standard paper speed for ECG machines is set by the International Electrotechnical Commission (IEC) at 25 mm/s. This means that the paper moves through the machine at a speed of 25 millimeters per second while recording the ECG. This speed is important for accurate interpretation of the ECG as it allows for precise measurement of the time intervals and waveforms on the ECG tracing.Lead wires are used to connect the electrodes to the ECG device. The heart's electrical activity is then recorded, analysed, and printed out. The body receives no electrical energy. The heart's many muscle contractions are coordinated by natural electrical impulses to maintain proper blood flow.for such more question on ECG
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what properties of the universe make it ""ready"" for life forms like you?
There are several key properties of the universe that make it "ready" for life forms like us. One of the most important is the abundance of carbon, which is essential for life as we know it.
Carbon is a versatile element that can form a wide variety of complex organic molecules, including the building blocks of proteins, DNA, and other essential biomolecules.
In addition to carbon, the universe also contains a wide range of other elements, including hydrogen, oxygen, nitrogen, and phosphorus, which are also crucial for life. The abundance of these elements is the result of processes such as stellar nucleosynthesis and supernova explosions, which occur throughout the universe.
The physical properties of the universe, such as its size, age, and rate of expansion, also play a role in making it "ready" for life. For example, the universe is large enough to contain a vast array of stars and galaxies, which provide the energy and raw materials necessary for life. At the same time, the universe is not too old or too young, which allows for the emergence of complex life forms within a reasonable timeframe.
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What is the potential energy of a puppy that weighs 18 N sitting in a high chair 2 m high?
A mug slides across a horizontal counter with initial speed v.It slides off the 0.86m high counter and lands 1.4m from the base.What was its initial speed?A)0.18 m/sB)0.43 m/sC)0.58 m/sD)2.39 m/sE)3.34 m/s
Initial speed of the mug was approximately 3.34 m/s, which is option E. We use conservation of energy.
To solve this problem, we can use the conservation of energy principle to relate the initial speed of the mug to its final position after sliding off the counter.
When the mug slides off the counter, it has some potential energy due to its height above the base of the counter, and some kinetic energy due to its motion. When it lands on the floor, it has lost all of its potential energy but gained some additional kinetic energy due to the work done by gravity.
Let's assume that there is negligible air resistance during the motion of the mug. Then we can use the conservation of energy principle to write:
[tex]mgh + (1/2)mv^2 = (1/2)mv_f^2[/tex]
where m : mass of the mug, g : acceleration due to gravity, h : height of counter, v : initial speed of mug, and v_f : final speed of mug before landing on floor
Since the mug slides off the counter horizontally, it has constant horizontal velocity throughout motion. We use the horizontal distance traveled by the mug to find time of flight:
d = v_f t
d : horizontal distance traveled, and t: time of flight.
Utilize time of flight to calculate final speed of mug before landing:
[tex]h = (1/2) g t^2 = > t = sqrt((2h)/g)v_f = d / t = (d / sqrt((2h)/g))[/tex]
Substitute v_f into conservation of energy eqn and find v:
[tex]mgh + (1/2)mv^2 = (1/2)mv_f^2mgh + (1/2)mv^2 = (1/2)md^2 / t^2[/tex]
Substituting values:
[tex]mgh + (1/2)mv^2 = (1/2)md^2 g / (2h)[/tex]
Simplifying and solving for v, we get:
[tex]v = sqrt((2gh)/3) * sqrt(1 + 2d^2/(3h^2))[/tex]
Put values:
v = [tex]\sqrt{ ((2 * 9.81 m/s^2 * 0.86 m)/3)} * \sqrt{(1 + 2 * (1.4 m)^2 / (3 * (0.86 m)^2))}[/tex]
v ≈ 3.34 m/s
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