Force on the object is 6.192 N.
What is force?Aristotle famously represented a force as anything that causes an object to undergo “unnatural motion”. Sir Isaac Newton was one of the first scientists to study gravity and force. Any kind of force is just a push or a pull. It can be described as a push or pull on an object.Force is an external agent capable of changing a body’s state of rest or motion. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force, and the application of force is the point where force is applied.The Force can be measured using a spring balance. The SI unit of force is Newton(N).
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A car crosses the start line with an initial velocity of 7 m/s. After 12 seconds, the car reaches a position of 105 m. From this information, which best describes its motion?
Group of answer choices
It speeds up and then slows down.
It is moving with a negative acceleration.
It is moving with a constant velocity.
It is moving with a positive acceleration.
How does the movement of water molecules change when water goes from liquid to gas ?
When water is heated, it evaporates. The molecules move and vibrate so quickly that they escape into the atmosphere as molecules of water vapor. Evaporation is a very important part of the water cycle.
What is evaporation?
Evaporation is a type of vaporization that occurs at the surface of a liquid as it changes to a gas phase.A high concentration of the evaporating substance in the surrounding gas significantly slows evaporation, for example when humidity affects the evaporation rate of water.When liquid molecules collide, they transfer energy to each other as they collide. When a molecule near the surface absorbs energy to overcome the pressure, it escapes and enters the surrounding air as a gas.When evaporation occurs, the energy removed from the evaporated liquid lowers the temperature of the liquid, resulting in evaporative cooling.To know more about evaporation, click the link given below:
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A neutron star is a highly condensed remnant of a massive star in the last phase of its evolution. It is composed of neutrons (hence the name) because the star's gravitational force causes electrons and protons to "coalesce" into the neutrons. Suppose at the end of its current phase, the Sun collapsed into a neutron star (even though it realistically couldn't because it does not have enough mass) of radius 14. 2 km, without losing any mass in the process. (a) Calculate the ratio of the gravitational acceleration at the surface of the Sun following its collapse compared to its value at the surface of the Sun today. (b) Calculate the ratio of the escape speed from the surface of the neutron-Sun to its value today
The ratio of gravitational acceleration at the surface of the collapsed Sun to its current value is 2.9510^11 and the ratio of the escape speed from the surface of the neutron-Sun to its value today is 1.8610^5
To find the ratio of gravitational acceleration at the surface of the collapsed Sun to its current value, we use the formula for gravitational acceleration: g = GM/R^2, where G is the gravitational constant, M is the mass of the Sun, and R is the radius of the neutron star.
We can see that the mass of the Sun does not change during the collapse so it will cancel out of the ratio, and we're left with g_neutron_star/g_sun = (R_sun/R_neutron_star)^2 =(69610^3/14.210^3)^2=2.9510^11
B. To find the ratio of the escape speed from the surface of the neutron-Sun to its value today, we use the formula for escape speed:
v_escape = sqrt(2GM/R)
where G is the gravitational constant, M is the mass of the Sun, and R is the radius of the neutron star. Since the mass of the Sun does not change, it will cancel out of the ratio, and we're left with v_escape_neutron_star/v_escape_sun = (R_neutron_star/R_sun) =(14.210^3/69610^3)=1.8610^5
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When heat flows into an object, its thermal energy increases, and so does its temperature.
What does the amount of temperature increase depend on?
An object's thermal energy and temperature rise as a result of heat flow into the thing. Three factors determine the amount of temperature increase: 1) The amount of heat added, 2) the object's size, and 3) the substance used to create the object.
What happens when thermal energy increases?The average kinetic energy of an object's particles rises as its temperature rises. The thermal energy of the object grows as the average kinetic energy of its constituent particles rises. Therefore, when an object's temperature rises, so does its thermal energy.
Thermal energy is added to a substance during heating. As a result, its temperature increases and its particle motion accelerates. When a substance cools, thermal energy is lost, which slows down the movement of its particles and lowers the substance's temperature.
When heat enters an object, both its temperature and thermal energy rise. There are three factors that affect how much the temperature rises: The amount of heat added, the object's size, and the material it is made of are the first three variables.
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a pebble is dropped from rest from the top of a tall cliff and falls 94.9 m after 4.4 s has elapsed. how much farther does it drop in the next 8.8 s?
The pebble drops 758.9 m in the next 8.8 s. The result is obtained by using the equation in uniformly accelerated motion.
What are the equation in uniformly accelerated motion?The equations apply in uniformly accelerated motion in vertical dimension are
v₁ = v₀ + gt
v₁² = v₀² + 2gh
h = v₀t + ½ gt²
Where
v₀ = initial velocityv₁ = final velocityg = acceleration due to gravityt = timeh = height of objectA pebble is dropped from rest from the top of a tall cliff. It falls 94.9 m after 4.4 s and is still falling for 8.8 s. Find how much farther it drops!
See the illustration picture for a pebble dropping in the attachment!
We use g = 9.8 m/s².
The total time is 4.4 + 8.8 = 13.2 s.
The initial velocity of the pebble dropping is 0. So, v₀ = 0.
Using one of the above equations, we get the height.
h = v₀t + ½ gt²
h = 0 + ½ (9.8)(13.2)²
h = ½ (9.8)(13.2)²
h = 853,8 m
The next 8.8 s, the pebble will fall
h₁ = h - 94.9
h₁ = 853.8 - 94.9
h₁ = 758.9 m
Hence, in the next 8.8 s, the pebble will drop 758.9 m.
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How is speed calculated?multiply velocity by displacementdivide velocity by displacementmultiply distance by timedivide distance by time.
Speed is calculated by dividing distance by time.
Speed is a measure of how fast an object is moving, and is typically measured in units such as meters per second (m/s) or miles per hour (mph). It is calculated by taking the distance an object has traveled and dividing it by the amount of time it took to travel that distance. This is known as the "average speed" of an object.
Speed can also be represented as velocity, which is the rate of change of an object's position, and is a vector quantity, meaning it has both a magnitude and a direction. To calculate velocity, the displacement (change in position) is divided by the time elapsed. Both speed and velocity are fundamental concepts in physics and are used in many areas of study, including mechanics, thermodynamics, and astronomy.
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Your question seems incomplete, but I suppose the question was:
"How is speed calculated?
multiply velocity by displacement
divide velocity by displacement
multiply distance by time
divide distance by time."
Answer: D.) divide distance by time.
Explanation:
Correct on edge;)
A ball falls down 30 meters from the top of a building. If the ball
weighed 1. 2 kg, what is the gravitational potential energy lost
by the ball? Estimate g as 9. 81.
The potential energy lost by the ball is 353.16 J, if the mass of the ball is 1.2 kg and the height from which it drops is 30 m.
Actually energy lost is not scientifically correct to say here, because energy never lost or destroyed, rather it converts from one form to another. Potential energy does not get lost here, but it converts into kinetic energy or heat energy or both.
Potential energy is the energy possessed by an object due to its position relative to the other objects. Potential energy(P) is mathematically described as follows:
P = mgh
Where m is mass, g is acceleration due to gravity, and h is the height of the object. So,
P = 1.2 × 9.81 × 30
P = 353.16 Joules
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How are stars important to the Milky Way?
How has the knowledge and perception of the universe changed over the past century?
What effect does dark energy have on the universe?
What is another metaphor (aside from the fact that a piano can only produce certain notes) that could help someone understand energy quantization at the atomic level? Explain your answer.
What do scientists believe may be the fate of the universe? Which theory do you feel is the better explanation of what may happen? Why?
Stars are important because it gives direction to the people.
We know that our universe is constantly changing.
The effect of dark energy have on the universe is that it accelerate the expansion of the universe.
The stars and galaxies will eventually exhaust their energy and the end will be in the 'Big Chill'.
How are stars important?The stars are so important because they have helped humans navigate. When it was dark these stars would light up the sky giving light to people. Stars are very important for human survival because they make possible life on Earth.
The perception of the universe has changed over the past century because 100 years ago the universe was viewed as unchanging but now we understand that our universe is changing constantly.
The dark energy does not have any gravitational effects, but it has a global effect on the universe which leads to a repulsive force that tends to speedup the expansion of the universe.
As the Universe continues to expand, all the stars and galaxies will eventually loses their energy and the Universe will eventually cool down results in the 'Big Chill'.
So we can conclude that stars beautifies the universe with its lightening effect.
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Select the correct answer. when would the velocity of a wave traveling in a medium change? a. only if a property of the wave changes b. only if a property of the medium changes c. if a property of both the wave and the medium changes d. never
The velocity of a wave traveling in a medium change if a property of both the wave and the medium changes. The correct answer is c.
The velocity of a wave is determined by the properties of both the wave and the medium it is traveling through. For example, the velocity of a light wave in a vacuum is constant, but it changes when it passes through a medium such as glass or water.
Similarly, the velocity of a sound wave in air will be affected by changes in temperature and humidity. So, both the wave's properties and medium properties are important to determine the velocity of wave.
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A 2. 00-m long piano wire with a mass per unit length of 12. 0 g/m is under a tension of 8. 00 kn. What is the frequency of the fundamental mode?.
The frequency of the fundamental mode of the piano wire is 166.67 Hz.
To determine the frequency of the fundamental mode of a piano wire, we can use the equation:
f = (1 / 2L) * (T / μ)^0.5
where f is the frequency of the fundamental mode, L is the length of the wire, T is the tension in the wire, and μ is the mass per unit length of the wire.
Given that the wire is 2.00 m long, has a mass per unit length of 12.0 g/m and a tension of 8.00 kn, we can substitute these values into the equation:f = (1 / 2 * 2.00 m) * (8.00 kn / (12.0 g/m))^0.5
To solve this equation we need to convert the units of tension to N and the mass per unit length to kg/m.
The tension is given in kn and it needs to be converted to N by multiplying it by 1000, the mass per unit length is given in g/m and it needs to be converted to kg/m by multiplying it by 10^-3.
f = (1 / 2 * 2.00 m) * (8000 N / (12*10^-3 kg/m))^0.5
Now we can solve the equation:
f = (1 / 2 * 2.00 m) * (666.67 N/kg)^0.5f = (1 / 4) * (666.67 N/kg)^0.5
f = 166.67 (N/kg)^0.5
f = 166.67 (s^-1)^0.5
f = 166.67 Hz
Therefore, the frequency of the fundamental mode of the piano wire is 166.67 Hz.
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a) is the buoyant force a conservative force? (b) is a tial energy associated with the buoyant force? (c) your answers to parts (a) and (b).
The buoyant force is a non-conservative force, which means that it does not obey the law of conservation of energy. This means that the energy associated with the buoyant force is not stored and can be dissipated by doing work, such as when a submerged object is pushed upward by the buoyant force. As such, there is no potential energy associated with the buoyant force, and thus the answer to part (b) is no.
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A coin rests on a book. The book is tilted until the coin just starts to slide. The angle at which the coin starts to slide is 30^0 What is the coefficient of static friction between the coin and the book? show all work
To remedy this issue, we create the illustrated free-body diagram, which shows all forces acting on the coin. The force along the incline balances out and acts in the opposite direction to the friction just before the coin begins to slide.
How can you determine the sliding friction?When the frictional force's maximum value, F = R = mg sin, is reached, the sliding point is reached.
Does sliding cause friction?One sort of frictional motion that occurs when two surfaces come into contact is sliding.
f=mgsinθ.
Friction is the normal force multiplied by the coefficient of friction: f=Nμs.
Equating these two, we have mgcosθ⋅
μs=mgsinθ
Solving for μs, we have μs=sinθcosθ,
=tanθ.
Substituting the angle of 17∘ in the equation, we have
μs=tan30∘,
=1/√3
which is the coefficient of static friction.
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Which of the following can you do with dimensional analysis?
A. Check conversions between units using numbers only
B. Check conversions between units using units only
C. Find numeric values
D. Check conversions between units using numbers and unit
Answer:
Explanation:
B. Check conversions between units using units only.
Is the acceleration of a pendulum ever zero?
A pendulums acceleration can only be zero when both its velocity and height of its arc are both zero
A weight hanging from a pivot such that it may freely swing is called a pendulum [1] A pendulum is subject to a restoring force from gravity when it is sideways moved from its resting equilibrium position. This force accelerates the pendulum back toward the equilibrium position When the pendulum is freed, the restoring force acting on its mass causes it to oscillate, swinging back and forth about its equilibrium point. The period is the length of time needed for one full cycle or a left swing and a right swing The period is influenced by the pendulum's length and to a lesser extent by the amplitude or swing's width
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dimensional ANALYSIS
Dimensional analysis is a method used to convert units of measurement from one system to another.
How is Dimensional analysis applied?Dimensional analysis is based on the idea that physical quantities can be described by their dimensions, such as length, mass, and time. By using the conversion factors between different units of measurement, dimensional analysis allows you to convert a given value from one unit to another without the need for mathematical calculations.
This method is useful in fields such as physics, engineering, and chemistry, and can be applied to problems involving conversions between different units of measurement, such as inches to centimeters or pounds to kilograms.
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The complete question is:
How do you explain Dimensional analysis?
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 262626 thousand dollars and 222 thousand dollars, respectively. Suppose we select one of these cars at random. Let x=x=x, equals the sale price (in thousands of dollars) for the selected car. Find p(x>25)p(x>25)p, left parenthesis, x, is greater than, 25, right parenthesis. You may round your answer to two decimal places.
The probability that the sale price for a randomly selected car is greater than $25,000 is p(x>25) = 0.0228
B. To find the probability that the sale price for a randomly selected car is greater than $25,000, we need to use the cumulative distribution function (CDF) of the normal distribution.
The CDF of the normal distribution is given by P(X≤x)=F(x)=1/2*[1+erf((x-μ)/(σ*√(2)))]
Where x is the sale price, μ is the mean of the distribution, σ is the standard deviation of the distribution and erf is the error function.
Since we are looking for the probability that x>25, we need to subtract the probability that x≤25 from 1.
By plugging in the given values we can find out the probability, p(x>25) = 1 - P(X≤25) = 1 - F(25) = 0.0228 (approx)
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A duck is thrown up to a height of 22.50 meters. What is the initial velocity of the duck?What is its velocity at its maximum height?What is the acceleration at max height?How long does it take to get to max height?How long is the duck in the air?What will be the duck's final impact velocity?
With the use of formulas, the answers are;
initial velocity = 21 m/s
velocity at its maximum height = 0
acceleration at max height = 9.8 m/s²
time taken to get to max height = 2.14 s
total time in air = 4.29 s
the duck's final impact velocity = 21 m/s
What is Velocity ?Velocity can be defined as the distance travelled in a specific direction per time taken.
Given that a duck is thrown up to a height of 22.50 meters.
What is the initial velocity of the duck?
At the maximum height, final velocity v = 0
Using v² = u² - 2gH where
g = 9.8 m/s²H = 22.5 m0 = u² - 2 × 9.8 × 22.5
u² = 441
u = √441
u = 21 m/s
What is its velocity at its maximum height?
At the maximum height, final velocity v = 0
What is the acceleration at max height?
Acceleration will be equal to acceleration due to gravity = 9.8 m/s²
How long does it take to get to max height?
Let us use the formula
v = u - gt
0 = 21 - 9.8t
9.8t = 21
t = 21/9.8
t = 2.14 s
How long is the duck in the air?
That is its period T = 2t
T = 2 × 2.14
T = 4.29 s
What will be the duck's final impact velocity?
The final impact velocity will be the same with the initial velocity. That is,
v = 21 m/s
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An object travels around a circular path 2.0 times in 8.0 seconds. What is the frequency and period of the motion?
Answer:
Frequency is the number of revolutions done per second. If one period is 30 seconds, then it takes 30 seconds to complete a single revolution.
So, how many revolutions occur in 1 second? 130
That’s your frequency. It should be obvious that this is the inverse of period.
On another note, angular frequency is the angular distance traveled per second, not revolutions. In a circle, each revolution is a full rotation about a circle, which is 2π
(radians) Hence the angular frequency, given the above period, is the frequency multiplied by 2π
, since one revolution translates to 2π
units of angular distance.
In summary, if we call f
the frequency (revolutions per second), ω
the angular frequency (radians per second) and T
your period (seconds per revolution), we have the following relations:
T=1f=2πω
ω=2πf=2πT
Explanation:
5260J of energy was lost when a 1Kg unknown substance is dropped in water and cooled 8.2K. What is the probable substance?
The probable substance that was dropped in water and lost 5260J of energy is calsium.
How to calculate specific heat capacity?Specific heat is the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).
According to this question, 5260J of energy was lost when a 1kg (1000g) unknown substance is dropped in water and cooled 8.2K. The specific heat of the substance can be calculated as follows:
Q = mc∆T
Where;
Q = amount of heat absorbed or releasedm = massc = specific heat∆T = change in temperature5260 = 1000 × c × 8.2
5260 = 8200c
c = 0.641 J/gK
Therefore, based on the above specific heat of the substance, the substance can be identified as calsium.
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if your weight on the earth is 850 n, but only 255 n on another planet. what is the best estimate of the gravitational acceleration on that planet?
The best estimate of gravitational acceleration on that planet is 0.3 times the gravitational acceleration on Earth.
What is the gravitational field strength?The gravitational field strength, also called acceleration due to gravity or gravitational acceleration, is the gravitational force that acts on a mass of object. It can be expressed as
g = F/m
Where
g = gravitational field strength (N/kg or m/s²)F = gravitational force or weight (N)m = mass of object (kg)If your weight on Earth is 850 N, it is 255 N on other planet.
Find the best estimate of the gravitational acceleration on the other planet!
Let's say
Weight on Earth = W₁Weight on other planet = W₂Gravitational acceleration on Earth = g₁Gravitational acceleration on the other planet = g₂From the explanation above, the formula can be written as
g = W/m
The mass of object is always the same in every where it is. So,
m₁ = m₂
850/g₁ = 255/g₂
g₂ = 255g₁/850
g₂ = 0.3g₁
Hence, the gravitational acceleration on the other planet is 0.3 times the gravitational acceleration on Earth.
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A simple pendulum consists of a 0. 35 kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2 Hz. What frequency would have resulted if a 0. 50 kg mass had been attached to the string instead
The Frequency of the resultant pendulum will also be 2 Hz as f does not depend on mass.
The Oscillation frequency of a pendulum depends on 3 things
1. Lenght of string (L).
2. Gravitational pull which is constant for a planet for earth it 9.8 m/s2.
3. Pie (π) (Which is again Constant 3.14....)
And this case both the things, length, and g(Gravitational pull) are constant so the frequency will also be the same.
As T = 2π√(L/g) ........ T (Time)
And Frequency = 1/T so it only required the length of string on which the mass is suspended so it will be constant as the length is taken as same as before.
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You want to move a 41-kg bookcase to a different place in the living room. If you push with a force of 65 N and the bookcase accelerates at 0.12 m/s2, what is the coefficient of kinetic friction between the bookcase and the carpet?
guys pls help
Question 7 (Multiple Choice Worth 2 points)
(01.01 MC)
Researchers conduct an experiment and obtain different results from the original investigation. They publish their findings as a new discovery. Which statement best describes how the researchers can make their findings more reliable?
O Scientific knowledge cannot change, so nothing will make it more reliable.
O Complete more trials and have other scientists repeat the experiment.
O Pay other researchers to show the same evidence.
O Write another article persuading why they are correct.
A study's outcome is the results of the study.All potential outcomes make up the sample space of an experiment.
What do the findings of a scientific experiment go by? A study's outcome is the results of the study.All potential outcomes make up the sample space of an experiment.So that other scientists might try to reproduce the results for future research, it is crucial for the scientist to precisely describe the experiment and how it is set up and conducted.One (or both) of the two categories of data: qualitative and quantitative—will be produced as the result of an experiment.The four main design categories with regard to user research are correlational, experimental, quasi-experimental, and single subject.These research designs progress from those with high validity and generalizability to those with less validity and generalizability.To learn more about experiment refer
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Two horizontal parallel plates have equally spaced vectors going from the top plate to the bottom plate labeled e. there is also a delta v between the plates. the electric field inside a battery generates an electric potential difference of 12 v. the plates are separated by a distance of 0.25 m. what is the strength of the electric field? the strength of the electric field is .
The strength of the electric field is 48 N/C.
The electric field (E) is the force exerted per unit charge. It is calculated by dividing the electric potential difference (ΔV) by the distance between the plates (d). In this case, the electric potential difference is 12 V and the distance between the plates is 0.25 m. Therefore, the electric field is
E = ΔV/d
E= 12 V / 0.25 m
E= 48 N/C.
The electric field is a vector and it points in the direction of the force that would be exerted on a positive test charge placed in the field. The direction of the electric field vectors is from the positive plate to the negative plate.
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if an event were to take place on the sun, how long would it take for the light it generates to reach us?
If an event were to take place on the sun, it would take 8 minutes for the light it generates to reach us.
What do you mean by astronomical unit ?The precise distance between Earth and the Sun fluctuates depending on where the planet is in its elliptical orbit. Around 150 million kilometres separate the Earth and the Sun on average (the mean distance) (93 million miles).
One astronomical unit is another name for the average separation between the Earth and the Sun (or AU). This distance is calculated to be 149, 597, 870.7 kilometres (92,955,887.6 miles).
Around the first week of July is when the Earth's apogee, or closest point to the Sun, occurs. It is roughly 152 million kilometres away (94.4 million miles).
The first week of January marks perihelion, the point in time when the Earth is closest to the Sun. It is roughly 147 million kilometres away (91.3 million miles).
Therefore, If an event were to take place on the sun, it would take 8 minutes for the light it generates to reach us.
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How much is in a stack of nickels?
A nickel is about 1.95 mm thick
1 mm = 0.0393701 inches
0.0393701/12 = 25.39998 nickels per inch round to 25.4
25.4 x 12=304.8 nickels per foot,
round off to 305
305 x 0.05 = 15.25
a foot of nickels is worth approximately $15.25
What is nickelNickel is a metallic chemical element in the periodic table which has the symbol Ni and atomic number 28. Nickel is a silvery-white metal with a slightly golden tinge. Nickel is a transition metal, and has hard and ductile properties. Nickel also belongs to the iron-cobalt group of metals, which can produce very valuable alloys. Pure nickel is in powder form to maximize surface area reactive, has significant chemical activity, but large pieces react slowly with air under normal conditions because an oxidized layer forms on the surface and prevents further corrosion (passivation). However, pure nickel is only found in the Earth's crust in small quantities, usually in ultrabasic rocks, and in iron meteorites or siderites that were not exposed to oxygen outside the Earth's atmosphere.
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type se, service-entrance cable shall be permitted where the insulated conductors are used for circuit wiring and the uninsulated conductor is used only for equipment grounding purposes.
Type SE, service-entrance cable, is a type of electrical cable that is designed for use as a service-entrance cable.
It typically consists of two or more insulated conductors that are used for circuit wiring and an uninsulated conductor that is used only for equipment grounding purposes.
This type of cable is permitted for use in situations where the insulated conductors are used to conduct electrical power to a building or other structure, and the uninsulated conductor is used to provide a ground connection for the electrical system.
The uninsulated conductor, also known as the equipment grounding conductor, is used to safely dissipate electrical current to the ground in case of a fault or surge, protecting people and equipment. It's important to note that the use of SE cable is regulated by the National Electric Code (NEC) and the local codes, and it should be installed by a qualified electrician.
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A 5. 0kg box is at rest on a table. The static friction coefficient μs between the box and table is 0. 50, and the kinetic friction coefficient μk is 0. 30. Then, a 30N horizontal force is applied to the box. What is the best estimate of the magnitude of the box's acceleration?
The acceleration of the box is best calculated to be equal to 3.06m/s²
How can I calculate the acceleration of the box?We would first compute the magnitude of the kinetic frictional force in order to determine the size of the acceleration of this box.
The following equation can be used to determine the kinetic frictional force acting on a physical body mathematically:
F = μkN = μk(mg)
F = 0.30 × 5.0 × 9.81
F = 14.7Newton.
Newton's second law of motion is used to calculate the net force, which is as follows:
∑Fx = Applied force - kinetic frictional force = ma
Acceleration, a = [Applied force - kinetic frictional force]/m
Acceleration, a = [30 - 14.7]/5
Acceleration, a = 15.3/5
Acceleration, a = 3.06m/s²
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two problems please help
1. Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of one of the objects was doubled, and if the distance between the objects remained the same, then what would be the new gravitational force of attraction between the two objects?
2. Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of both objects was quintupled (x5), and if the distance between the objects remained the same, then what would be the new gravitational force of attraction between the two objects?
1. The new gravitational force of attraction between the two objects is 32 units
2. The new gravitational force of attraction between the two objects is 400 units
1. How do I determine the new gravitational force?First, we shall obtain an expression for the initial gravitational force between the objects. Details below:
Mass of 1st object (M₁) = M₁Mass of 2nd object (M₂) = M₂Gravitational constant (G) = GDistance apart (r) = rInitial gravitational force (F) = 16 unitsF = GM₁M₂ / r²
16 = GM₁M₂ / r²
Finall, we shall determine the new gravitational force. The is illustrated below:
Mass of 1st object (M₁) = 2M₁Mass of 2nd object (M₂) = M₂Gravitational constant (G) = GDistance apart (r) = rNew gravitational force (F) =?F = GM₁M₂ / r²
F = (G × 2M₁ × M₂) / r²
F = 2GM₁M₂ / r²
But,
16 = GM₁M₂ / r²
Thus
F = 2 × 16
F = 32 units
Thus, we can conclude that the new gravitational force is 32 units
2. How do I determine the new gravitational force?First, we shall obtain an expression for the initial gravitational force between the objects. Details below:
Mass of 1st object (M₁) = M₁Mass of 2nd object (M₂) = M₂Gravitational constant (G) = GDistance apart (r) = rInitial gravitational force (F) = 16 unitsF = GM₁M₂ / r²
16 = GM₁M₂ / r²
Finall, we shall determine the new gravitational force. The is illustrated below:
Mass of 1st object (M₁) = 5M₁Mass of 2nd object (M₂) = 5M₂Gravitational constant (G) = GDistance apart (r) = rNew gravitational force (F) =?F = GM₁M₂ / r²
F = (G × 5M₁ × 5M₂) / r²
F = 25GM₁M₂ / r²
But,
16 = GM₁M₂ / r²
Thus
F = 25 × 16
F = 400 units
Thus, we can conclude that the new gravitational force is 400 units
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At what point in its motion is the KE of a pendulum bob at a maximum? At what point is its PE at a maximum? When its KE is at half its maximum value, how much PE does it have relative to its PE at the center of the swing?
At the bottom of its swing, where its potential energy is minimum, a pendulum's KE reaches its maximum value. When a pendulum reaches the top of its swing and momentarily stops, its PE is at its maximum and its KE is zero.
What is the pendulum's highest possible kinetic energy?At equilibrium, the velocity is at its highest point, and at the extreme, it is at its lowest. As a result, the mean position has the highest kinetic energy.
Position C has the highest kinetic energy; the lowest position has the highest kinetic energy. All of the potential energy from the beginning has been converted into kinetic energy by the time the bob reaches C.
The extreme position of a pendulum causes its velocity to become zero. The extreme position therefore has no kinetic energy.
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