Taking into account the definition of kinetic, potencial and mechanical energy, the kinetic energy increases from 310 J to 385 J.
Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and at rest, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Potential energyOn the other hand, potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.
Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the force of gravity.
Mechanical energyFinally, mechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position, and which is capable of producing mechanical work. Then:
Potential energy + kinetic energy = total mechanical energy
Principle of conservation of mechanical energyThe principle of conservation of mechanical energy indicates that the mechanical energy of a body remains constant when all the forces acting on it are conservative (a force is conservative when the work it does on a body depends only on the initial and final points and not the path taken to get from one to the other.)
Therefore, if the potential energy decreases, the kinetic energy will increase. In the same way, if the kinetics decreases, the potential energy will increase.
This caseIn a closed system that has 560 J of mechanical energy, the gravitational potential energy of a weight being lowered by a pulley decreases from 250 J to 175 J.
Conidering that the principle of conservation of mechanical energy can be applied, in the beginning:
250 J + kinetic energy = 560 J
Solving:
kinetic energy = 560 J - 250 J
kinetic energy= 310 J
In the end:
175 J + kinetic energy = 560 J
kinetic energy = 560 J - 175 J
kinetic energy = 385 J
Finally, the kinetic energy increases from 310 J to 385 J.
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Conceptual Exercise 19.46- Copy Part A The electric field on the dashed line in the figure vanishes at infinity, but also at two different points a finite distance from the charges. Figure 1) Identify the regions in which you can find Check all that apply. = 0 at a finite distance from the charges to the right of point C O between points A and B to the left of pointA between points B and C Figure 1 |of 1 Submit Hints My Answers Give Up Review Part Provide Feedback Continue +a +9
In the given scenario, we are asked to identify the regions where the electric field on the dashed line vanishes at a finite distance from the charges. The electric field is caused by the presence of charges and can be found by using Coulomb's law. The direction of the electric field is given by the direction of the force experienced by a test charge placed at that point.
Based on the given information, we can assume that there are at least two point charges placed in the vicinity of the dashed line. It is also given that the electric field vanishes at infinity and at two different points a finite distance from the charges. This implies that the electric field is non-zero in some regions and zero in others.
To identify the regions where the electric field is zero, we need to analyze the geometry of the configuration. From the figure, we can see that the two point charges are placed symmetrically with respect to the dashed line. This implies that the electric field on the dashed line will be zero at the midpoint between the charges. Therefore, we can say that the region between points A and B is where the electric field is zero.
Similarly, we can analyze the other regions to identify where the electric field is zero. Since the electric field vanishes at two different points, we can assume that the other region where the electric field is zero lies to the left of point A or to the right of point C. However, without additional information, we cannot determine the exact location of this region.
In conclusion, based on the given information, we can say that the electric field on the dashed line vanishes at a finite distance from the charges between points A and B. The location of the other region where the electric field is zero cannot be determined without additional information.
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Describe the mathematical relationship between the gravitational
potential energy of an object and its height above a reference point.
Answer:
∆p.e = mg∆h
Explanation:
Take height reference be h1 while height final be h2.
∆h = (h2 - h1)
m = m
g = g
•°• ∆p.e = mg(h2 - h1)
=> ∆p.e = mg∆h
What average power would a 1000 kg speedboat need to go from rest to 20.0 m/s in 5.00 s, assuming the water exerts a constant drag force of magnitude fd = 500 N and the acceleration is constant.
The average power required by a 1000 kg speedboat to go from rest to 20.0 m/s in 5.00 s is 60000 Watts.
The average power required to accelerate an object is equal to the force required to overcome resistance multiplied by the velocity gained. In this case, the drag force fd opposes the acceleration of the speedboat, and so the net force on the boat is equal to the difference between the force applied to the boat and the drag force:
Fnet = Fapplied - fd = ma - fd
where m is the mass of the boat (1000 kg) and a is the acceleration. The acceleration can be calculated from the velocity gained and the time taken:
a = (vf - vi) / t = (20 m/s - 0 m/s) / 5.00 s = 4 m/s^2
So, the net force is:
Fnet = ma - fd = 1000 kg * 4 m/s^2 - 500 N = 3000 N
The power required to overcome the drag force and accelerate the speedboat is equal to the net force multiplied by the velocity gained:
P = Fnet * v = 3000 N * 20 m/s = 60000 Watts
Therefore, the average power required is 60000 Watts.
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Velocity vs time given information in the velocity vs time graph
The velocity vs. time graph provides information about how the velocity of an object changes over time.
The velocity vs. time graph is a graphical representation of the object's velocity at different points in time. The graph consists of two axes: the vertical axis represents velocity, and the horizontal axis represents time. By examining the graph, you can determine various characteristics of the object's motion.
For example, a positive slope on the graph indicates that the object is moving in a positive direction with increasing velocity. A negative slope indicates motion in the opposite direction or decreasing velocity.
A horizontal line represents constant velocity, as the slope is zero. The steepness of the slope indicates the rate at which the velocity is changing. A steeper slope indicates a faster change in velocity.
The velocity vs. time graph is a valuable tool in understanding the motion of objects. By analyzing the graph's shape and slope, you can determine important information such as acceleration, deceleration, constant velocity, and direction of motion.
It provides a visual representation that aids in interpreting and predicting an object's motion over time.
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A burner is placed below the right side of the beaker. Which image shows the motionvof of the liquid that will result? it's a gizmo
Convection cells
Answer:
the second picture
Explanation:
Answer: second picture
Explanation:
(it was right on my gizmo sheet)
Mr. Temper, a 5-foot, 4-inch, 100-pound hothead, tells Mr. Big, a 300-pound professional wrestler, that he is going to "make him regret he set foot in this bar." At the same time, Temper clenches and raises his fists. Big looks at Temper from head to toe and responds, "yeah, right." Big can sue Temper for: a. assault
b. battery
c. assault and battery
d. Big has no cause of action
Big has no cause of action against Temper. In this scenario, while Temper may have made a verbal threat and raised his fists in a confrontational manner, there is no indication that he physically touched or harmed Big.
Assault refers to the act of intentionally causing apprehension or fear of imminent harmful or offensive contact. Battery, on the other hand, involves the intentional and harmful or offensive physical contact with another person without their consent.
In this case, Temper's actions may constitute assault due to the verbal threat and raising his fists, creating an atmosphere of fear or apprehension. However, since no physical contact or harm occurred, battery is not applicable. Therefore, the appropriate response is option d: Big has no cause of action against Temper.
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A musical note has a frequency of 212 Hz. If the wavelength of the note is. 425 m, what is the speed of the sound of that note
If a musical note has a frequency of 212 Hz and a wavelength of 425 m, its velocity is 90.1 m/s.
The speed of sound is a relationship between frequency and wavelength, mathematically represented as follows:
speed = frequency x wavelength
In this case, the frequency is 212 Hz and the wavelength is 0.425 m. Plugging these values into the equation gives:
speed = frequency x wavelength
speed = 212 Hz x 0.425 m
speed = 90.1 m/s
Therefore, we can affirm that the the speed of the sound of the musical note is 90.1 m/s.
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Which of the following statements is true for a ball thrown vertically upward
what mass of ethylene glycol ( c2h6o2 ) must be added to 221.0 g of water to obtain a solution with a boiling point of 103.5 ∘c ?
To obtain a solution with a boiling point of 103.5 °C, a mass of ethylene glycol (C2H6O2) equal to [insert numerical value] grams must be added to 221.0 g of water.
To calculate the mass of ethylene glycol required, we need to use the equation for boiling point elevation. The boiling point elevation (ΔTb) is given by the formula ΔTb = Kbm, where Kb is the molal boiling point elevation constant and m is the molality of the solution. Rearranging the formula to solve for m, we have m = ΔTb / Kb.
We know that the boiling point elevation is 103.5 °C (the difference between the boiling point of the solution and the boiling point of pure water), and Kb for water is 0.512 °C/m. By substituting these values into the equation, we can calculate the molality.
Since molality (m) is defined as moles of solute per kilogram of solvent, we can convert grams of water to kilograms (kg) and calculate the molality (m).
Finally, by using the formula m = moles of solute / kilograms of solvent, we can determine the moles of ethylene glycol required. Using the molar mass of ethylene glycol (62.07 g/mol), we can convert moles to grams to obtain the mass of ethylene glycol needed.
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A football player kicks a ball horizontally off a hill with an initial velocity of 42.0 m/s. It travels a horizontal distance of 59.2m. How y’all was the hill he kicked the ball off of?
Answer:
9.74 m
Explanation:
Given the following :
Initial Velocity(u) = 42m/s
Horizontal distance (d) = 59.2m
Using the motion equation:
H = ut + 0.5×g×t^2
Where H = height, g = acceleration due to gravity (9.8m/s^2), t = time, u= Initial Velocity
Time(t) = horizontal distance / velocity
t = 59.2 / 42 = 1.41seconds
Therefore,
H = (0 × 1.41) + 0.5(9.8)×(1.41)^2
H = 0 + 9.74169
H = 9.74m
suppose you have a parallel plate capacitor with a capacitance of 4.425 picofarads with a plate separation of 0.2 millimeters. (a) what is the area of the plates? now suppose that we slip some mylar in between the capacitor plates. (b) what is the new capacitance?
The area of the plates of the given parallel plate capacitor is 3.531 × 10⁻⁶ m², and the new capacitance of the capacitor with mylar in between the plates is 5.466 pF
By using the formula C = ε₀A/d, where C = capacitance, ε₀ = permittivity of free space, A = area of plates, and d = distance between plates we can calculate the area of the plates of a parallel plate capacitor with capacitance of 4.425 picofarads and plate separation of 0.2 millimeters.
Substituting the given values of capacitance and plate separation, we get;
4.425 pF = (8.85 × 10⁻¹² F/m)(A)/(0.2 × 10⁻³ m)A
= 3.531 × 10⁻⁶ m²
Adding a dielectric substance, such as mylar, in between the capacitor plates increases the capacitance of the parallel plate capacitor. The capacitance of a parallel plate capacitor with a dielectric can be determined using the formula C = kε₀A/d, where k is the dielectric constant of the material.The dielectric constant of mylar is 3.1.
Substituting the values of the given capacitance, dielectric constant, and plate separation, we get;
C' = kε₀A/d
= (3.1)(8.85 × 10⁻¹² F/m)(3.531 × 10⁻⁶ m²)/(0.2 × 10⁻³ m)C'
= 5.466 pF
Therefore, the new capacitance of the parallel plate capacitor with mylar in between the plates is 5.466 pF.
The area of the plates of the given parallel plate capacitor is 3.531 × 10⁻⁶ m², and the new capacitance of the capacitor with mylar in between the plates is 5.466 pF.
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suppose that the system has one unit of energy (above the ground state). describe the allowed states of the system, for each of the three cases. how many possible system states are there in each case?
The allowed states of the system depend on the type of system. There are three cases to consider: a particle in a box, a harmonic oscillator, and a hydrogen atom.
1. Particle in a box: The energy levels of a particle in a box are quantized, meaning they can only take on certain discrete values. The energy of the system is given by:
\(E = (n^2 * h^2)/(8mL^2)\)
where n is a positive integer \((1, 2, 3, ...)\), h is Planck's constant, m is the mass of the particle, and L is the length of the box. If the system has one unit of energy above the ground state, then n must equal 2. There is only one possible system state in this case.
2. Harmonic oscillator: The energy levels of a harmonic oscillator are also quantized. The energy of the system is given by:
\(E = (n + 1/2) * h *\) ω
where n is a non-negative integer \((0, 1, 2, ...)\) and omega is the frequency of the oscillator. If the system has one unit of energy above the ground state, then n must equal 1. There are two possible system states in this case: the n=0 state and the n=1 state.
3. Hydrogen atom: The energy levels of a hydrogen atom are given by the formula:
\(E = -13.6 eV/n^2\)
where n is a positive integer. If the system has one unit of energy above the ground state, then n can equal 2, 3, or 4. There are three possible system states in this case: the n=2 state, the n=3 state, and the n=4 state.
In summary, the number of possible system states depends on the system and the amount of energy above the ground state. For a particle in a box, there is only one possible state.
For a harmonic oscillator with one unit of energy above the ground state, there are two possible states. For a hydrogen atom with one unit of energy above the ground state, there are three possible states.
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need help asappppppp
Visible light, x-rays, and radio waves are forms of electromagnetic waves that can travel through vacuum and mater.
A food web is shown below. Hawk Fox Snake Mouse Frog Grasshopper Beetle Fungus Grass Which organisms could be both predators and prey depending on the relationship represented on the food web? A Hawk and fox B Grasshopper and beetle C Snake, frog, and mouse D Fungus and grass
Answer:
A
A fox and hawk can be both a predator and prey
A jogger runs 300m west and then turns and runs 500m due south what is her direction
The direction of the jogger is roughly 33.7 degrees south of east.
How do you determine the displacement's direction?Finding the angle between the horizontal and the direction of travel allows one to determine the direction of the displacement. We can use our understanding of right-angle trigonometry to determine that the angle's tan value equals the opposite over the neighboring. The answer to this problem's tan of angle is 225 over 150.
We may get the displacement vector's length using the Pythagorean theorem:
displacement² = 300² + 500²
displacement = √(300² + 500²)
displacement = 583.1 m
We may use the inverse tangent function to determine the angle between the displacement vector and the east direction:
angle = arctan(300 / 500)
angle = 33.7 degrees
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What year was the RoboSapien toy robot released?
a) 2007
b) 2004
c) 2020
d) dunno
option b )2004........
Which arrow represents the change of state described above? The diagram shows changes of state between solid, liquid, and gas. The atoms of a substance lose energy during a change of state. Before the change, the atoms are close together but are able to slide past one another. Ом N gas P M Ζ Ο P solid liquid
Its P path describes the change of state i.e from solid to liquid.
What is solid ?
"A solid is that state of matter which has a fixed shape, mass, and volume. It suffers very small changes in volume by changing the temperature. It can not be compressed, e.g. — Sand, Wood, Copper, Ice, etc."
What is liquid ?
"A liquid is a sample of matter that conforms to the shape of a container in which it is held, and which acquires a defined surface in the presence of gravity. The term liquid is also used in reference to the state, or condition, of matter having this property."
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if the same-sized force is made to act over a smaller area, the pressure is
When a same-sized force is applied over a smaller area, the pressure increases.
Pressure is defined as the force acting per unit area (P = F/A). Here, F represents the force and A represents the area. When the area (A) decreases, and the force (F) remains constant, the overall pressure (P) increases according to the formula.
This concept can be easily understood by imagining a person standing on the ground wearing regular shoes versus standing on the ground wearing high heels. In both cases, the person's weight (force) remains the same, but the area of contact with the ground is much smaller with high heels. As a result, the pressure exerted on the ground by high heels is much higher than that of regular shoes.
Understanding the relationship between force, area, and pressure is crucial in various applications, such as hydraulic systems, pneumatic systems, and even in our daily lives. Increasing pressure by reducing the area can enhance the efficiency of certain processes while decreasing pressure by increasing the area can help distribute force more evenly and reduce potential damage or stress on surfaces.
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Based on observations by the Dawn spacecraft, scientists have concluded that Vesta might be:
A. the only remaining protoplanet in our solar system.
B. a planetesimal leftover from the solar system's formation.
C. a fragment of Mars.
D. one of the remnants of the planet that broke up to form the asteroid belt.
E. one of the dwarf planets in our solar system.
Based on observations by the Dawn spacecraft, scientists have concluded that Vesta might be: D. one of the remnants of the planet that broke up to form the asteroid belt.
Based on observations by the Dawn spacecraft, scientists have concluded that Vesta might be a planetesimal leftover from the solar system's formation. Vesta is one of the largest asteroids in the asteroid belt between Mars and Jupiter. Its unique characteristics and composition provide insights into the early stages of our solar system.
Dawn's data reveals that Vesta is differentiated, meaning it has distinct layers and a core, which is consistent with its formation as a planetesimal. The spacecraft detected evidence of volcanic activity, impact craters, and the presence of basaltic lava flows on Vesta's surface. These features suggest that Vesta experienced a significant amount of geologic activity in the past.
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Do y'all agree with nuclear energy? Why?
the frequency of the standing wave shown in (figure 1) is 225 hzhz. Part A
What is the fundamental frequency of this pipe?
Part B
What is the length of the pipe?
Part A: The fundamental frequency of a pipe is given by the equation f1 = v/2L, where v is the speed of sound and L is the length of the pipe. Rearranging the equation, we get L = v/2f1. Given that the frequency of the standing wave shown in figure 1 is 225 Hz, we can calculate the fundamental frequency as follows:
f1 = 225 Hz/3 = 75 Hz
Part B: Using the equation above and the speed of sound in air at room temperature (v = 343 m/s), we can calculate the length of the pipe:
L = v/2f1 = 343 m/s / (2 x 75 Hz) = 2.29 m
Therefore, the length of the pipe is 2.29 meters.
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The length of the pipe to be L = (1/2)(3.04m) = 1.52 meters.
Part A: The frequency of the standing wave shown in Figure 1 is 225 Hz, which is the second harmonic frequency. Therefore, the fundamental frequency can be calculated by dividing 225 Hz by 2, which results in a fundamental frequency of 112.5 Hz.
Part B: The length of the pipe can be determined using the formula L = (n/2)λ, where L is the length of the pipe, n is the harmonic number, and λ is the wavelength of the sound wave. Since the fundamental frequency is 112.5 Hz, the wavelength can be calculated using the formula λ = c/f, where c is the speed of sound (approximately 343 m/s) and f is the frequency (112.5 Hz). This results in a wavelength of approximately 3.04 meters. Plugging in n=1, we find the length of the pipe to be L = (1/2)(3.04m) = 1.52 meters.
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One scientist suggests that out of the different possible locations, they should design the model and build it at the equator recieves the most intense solar radiation. Which if the following is the most appropriate critique for the scientist's suggestion?
A. Earth's equator is not hot enough to simulate the Martian daytime.
B. The high mountain top gets the same amount of radiation as the equator, but with atmospheric conditions that are more similar to Mars.
C. The equator has deserts that are actually too dry compared to Mars.
D. The Antarctica has the same nighttime temperature as Mars, but with a similar amount of ice compared to the equator.
Answer:
B.
I think.
Explanation:
Mars doesn't have that much of an atmosphere!
Have a great day!
John has a utility function of the following: UL, C) = L ^BC ^(1-ẞ), where L is leisure and C is consumption. If he works, he receives a real wage w. Outside of the labor market, he has nonlabor market income V. And his endowment of time T is normalized to 1. And the price of goods p is also normalized to 1.
(a) Please write down his budget constraint.
(b) Assuming ẞ = 1/2, V = 100, w = 200, what is his optimal supply of labor?
(c) How much total income does he have?
(d) How much consumption will he make?
(e) Now, consider the case where John is subject to a 10% income tax on labor income only. What is his new optimal supply of labor?
(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.
(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.
(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.
(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.
(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.
Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.
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Assume that a machine puts out 8000 joules of work when the user puts in 10,000 joules of work. What is the efficiency of the machine?
Answer:
80 Percent
Explanation:
E=energy output/energy input×100
E=8000/10000×100
E=0.8×100
E=80 percent.
Mark brianliest if my answer suit your question
If the machine put, in 8000 J, and the user puts 10,000 J of work then the efficiency of the machine will be equal to 80%.
What is Work?Work is a physics term used to describe the transfer of energy that takes place when an object changes above a distance because of an external force, at least some of which is given in the vector of the dislocation. The element of the force acting all along the path multiplied by the length of the path can be used to calculate work if the force is constant.
Mathematically, this idea is expressed as W = fd, where W is the effort and f is the force multiplied by d, the distance. Work is completed whenever the force is applied at an angle with about the displacement.
As per the data provided in the question,
Total input energy = 10,000 J
Total output energy = 8,000 J
Then, the efficiency (η) of the machine will be,
η = (output energy/input energy) × 100
η = 8000/10000 × 100
η = 80%.
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What are your legal and ethical reponibilitie in cae of abue of precription drug? What type of characteritic do drug abuer diplay? How hould you handle ituation in which you feel that patient are diplaying drug-eeking behavior or are upected drug abuer?
Medication errors may lead to several ethical dilemmas, including harm to patients, whether to disclose the error, loss of trust, and effects on the standard of care.
Drug and alcohol users typically exhibit high Neuroticism, high Openness to Experience, low Agreeableness, and low Conscientiousness.
What are some of an addict's common traits?Addiction risk is higher for some personality traits than for others. A person is more likely to try drugs if they enjoy taking chances and have little self-control when it comes to trying new things and risky activities.
If drugs were permitted, would using them be moral?It is undeniably true that legalization wouldn't make drug use ethical right away and that many drugs might still be produced and distributed unethically even if prohibition were lifted.
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what does newtons third law represent
His third law dictates that in disposition, for every action (force), there is an equal and opposing reaction.
What is Newton's laws of motion?Newton's laws of motion are three fundamental classical mechanics laws that describe the relationship between an object's motion and the forces acting on it.
These laws are summarized as follows: Unless acted upon by a force, a body remains at rest or in motion at a constant speed in a straight line.
His third law states that in nature, for every action (force), there is an equal and opposite reaction.
When object A applies a force to object B, object B applies an equal and opposite force to object A. In other words, forces are the result of interactions.
Thus, this is the third law of motion by Newton.
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The planet Venus has a mass of 4.87 × 10^24 kg, and Earth has a mass of 5.97 × 10^24 kg. How far apart are the two planets when they exert a gravitational force of 1.12 × 10^18 N on one another?
Taking into account the Universal Law of Gravitation, Venus and Earth are separated by a distance of 1,316,302,384 m.
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them. Mathematically it is expressed as follows:
\(F=G\frac{Mm}{d^{2} }\)
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ \(\frac{Nm^{2} }{kg^{2} }\).M and m are the masses of the bodies that interact.d is the distance that separates them.Distance of Venos and EarthIn this case, you know:
F= 1.12×10¹⁸ NG= 6.67×10⁻¹¹ \(\frac{Nm^{2} }{kg^{2} }\)M= mass of Venus= 4.87×10²⁴ kgm= mass of Earth= 5.97×10²⁴ kg d= ?Replacing in the Universal Law of Gravitation:
\(1.12x10^{18} N=6.67x10^{-11} \frac{Nm^{2} }{kg^{2} }\frac{4.87x10^{24} kgx5.97x10^{24} kg}{d^{2} }\)
Solving:
\(1.12x10^{18} N=6.67x10^{-11} \frac{Nm^{2} }{kg^{2} }\frac{2.90739x10^{49} kg^{2} }{d^{2} }\)
1.12×10¹⁸ N÷ 6.67×10⁻¹¹ \(\frac{Nm^{2} }{kg^{2} }\)= \(\frac{2.90739x10^{49} kg^{2} }{d^{2} }\)
1.678×10 ²⁸\(\frac{kg^{2} }{m^{2} }\)= \(\frac{2.90739x10^{49} kg^{2} }{d^{2} }\)
1.678×10 ²⁸\(\frac{kg^{2} }{m^{2} }\)× d²= 2.90739× 10⁴⁹ kg²
d²= 2.90739× 10⁴⁹ kg²÷ 1.678×10 ²⁸\(\frac{kg^{2} }{m^{2} }\)
d²= 1.73265 m²
d= √1.73265 m²
d=1,316,302,384 m
Finally, Venus and Earth are separated by a distance of 1,316,302,384 m.
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2.One car with a mass of 400kg is traveling east at 20m/s and collides with a car of mass 800kg traveling west at 15m/s. Assuming the collision is completely inellastic, what is velocity of the first car after the collision?
Answer:
3.33 m/s west
Explanation:
East is the positive direction.
400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v
-4000kgm/s=1200kg*v
v=-3.33
400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.
What is Collision?Collision, which is also known as impact, is the abrupt, powerful coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when linked, or a falling object and a floor.
Two factors—the force and the amount of time the items are in contact—affect the outcome of impact in addition to the characteristics of the two objects' materials.
A hard steel ball dropped on a steel plate will typically rebound to almost the same location from whence it was dropped, while a putty or lead ball would not.
Therefore, 400kg*20m/s + 800kg*-15m/s =(400kg+800kg)*v. -4000kgm/s=1200kg*v and v=-3.33.
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object a has a mass m and a speed v , object b has a mass m/2 and a speed 4v , and object c has a mass 3m and a speed v/3 . rank the objects according to the magnitude of their momentum.
The ranks of the objects according to the magnitude of their momentum is object B > object A > object C.
Object A has a mass of m and a speed of v, Object B has a mass of m/2 and a speed of 4v, and Object C has a mass of 3m and a speed of v/3. To rank the objects according to their magnitude of momentum,
we must use the equation p = mv (momentum = mass x speed).
For Object A, p = mv = mv.
For Object B, p = mv = (m/2)(4v) = 2mv.
For Object C, p = mv = (3m)(v/3) = mv.
From the equation we can see that Object B has the greatest magnitude of momentum as its momentum is twice that of Object A and C. Objects A and C have the same magnitude of momentum, but Object C has a higher mass. Therefore, the order of the objects according to their magnitude of momentum is:
Object BObject AObject CTo know more about momentum refer here:
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3
1 point
An archer fires an arrow at 86m/s and an angle of 34° above the ground. What is the horizontal velocity?
71.30 m/s
48.09 m/s
86 m/s
65.82 m/s
Answer:
Below
Explanation:
VERTICAL velocity will be v sin 34
HORIZONTAL velocity will be v cos 34 = 86 cos 34 = 71.3 m/s