The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
How do you calculate the radius of the event horizon?The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:
r = 2GM/c^2
where
r = radius of the event horizon (in meters)
G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)
M = mass of the black hole (in kg)
c = speed of light in a vacuum (2.998 x 10^8 m/s)
For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.
M = 10 x 1.989 x 10^30 kg
Now, we can substitute the values into the formula
r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2
r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2
r = 2.95 x 10^3 m = 2950 kilometers
So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
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The electric field near the surface of Earth points downward and has a magnitude of 140 N/C. A. Compare the upward electric force on an electron with the downward gravitational force. (upward force / downward force)b. What magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface?
The me = 9.1 x 10-31 kg the the upward electric force on an electron with the downward gravitational force. C = 0.42 mC is the magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface.
What is magnitude ?
According to the physics definition, magnitude is just "distance or quantity." It demonstrates how an object moves as it is moving, including whether the movement is absolute, relative, or of a particular size. It serves as a means of describing the size or scope of something. Physicists use the word "magnitude" to indicate size or distance.
What is gravitational force ?
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.
E = 140 N/C
qe = -1.6 x 10-19 C
me = 9.1 x 10-31 kg
A) Fe = qe.E = 1.6 x 10-19. 140 = 2.24 x 10-17 N ( upward )
Fw = me.g = 9.1 x 10-31.9.8 = 8.918 x 10-30 N (down ward )
Fe/Fw = 2.51 x 1012
B) mg = q.E
q = mg/E = (6 x 10-3.9.8) /140
q = 4.2 x 10-4 C = 0.42 mC
Therefore, me = 9.1 x 10-31 kg the the upward electric force on an electron with the downward gravitational force. C = 0.42 mC is the magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface.
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Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G
The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.
What do you mean by force of gravity?The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.
The force of gravity between two objects is:
F = G * m1 * m2 / r^2
Where F = force of gravity,
G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),
mass m1 and mass m2 are the masses of the objects,
r = distance between their centers of mass.
Given:
the mass of the newborn baby = 2.50 kg,
the mass of the doctor = 80.0 kg,
the distance between them = 0.250 m,
F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2
F = 2.67 x 10^-8 N
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How does a simmering pot of spaghetti sauce illustrate convection currents
Answer:
1: As the substance’s thermal energy increases, the kinetic energy of its particles increases, and vice versa.
2: Its molecules move around more quickly, so there is more space between them, making it less dense than the air above it.
3: Warmer sauce at the bottom of the pot is less dense, so it rises, forcing cooler sauce down, where it is warmed.
4: Hot soup warms the bowl where it sits.
5: transfer of thermal energy through infrared waves
Explanation:
This is correct for the Thermal Energy Transfer Quick Check
A simmering pot of spaghetti sauce provides an excellent illustration of convection currents because the process of heating the sauce causes hot molecules to rise and cool molecules to sink. This creates a circular motion known as a convection current.
When the pot is placed on a hot stove, the heat from the burner is transferred to the bottom of the pot, which in turn heats the sauce. As the sauce heats up, the molecules nearest to the heat source become hotter and lighter. These hot, lighter molecules rise to the top of the pot, creating a convection current. As they reach the surface, they cool down, become heavier, and then sink back down to the bottom of the pot.
This process of hot molecules rising and cool molecules sinking creates a circular motion that evenly distributes the heat throughout the sauce, ensuring that it cooks evenly. The convection currents in the pot are also responsible for the bubbles that rise to the surface of the sauce, releasing trapped steam and preventing the pot from boiling over.
In conclusion, a simmering pot of spaghetti sauce illustrates convection currents because it shows how hot molecules rise and cool molecules sink, creating a circular motion that evenly distributes heat and ensures that the sauce cooks evenly.
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Please give an explanation on how to do this
The time that is taken by the cart is given as 34.7 s.
What is the time taken?
Let us have it at the back of our minds that what we are dealing with here is the velocity and that the velocity of the object can be said to be a vector quantity. If it is a vector quantity, we would need to look at the magnitude and the direction of the quantity.
We can now see that the velocity of the object can be defined as the change in the velocity of the object with time. We can now write;
V = Δx/t
V = velocity
Δx = change in the displacement
t = time
Then;
-0.418 = 5.40 - 19.9/t
t = -14.5/-0.418
t = 34.7 s
In the movement of the cart from one point on the plane to the other, the time that has been taken by the cart is about 34.7 s.
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Deon is running at a velocity of 5.4 meters per second. Deon has a total mass of 95 kilograms—including his helmet, uniform, and pads. If Deon runs directly into Chuck, who has a total mass of 120 kilograms and is standing still, what is the momentum of the Deon-Chuck system after the collision? Assume momentum is conserved.
The law of conservation of momentum states that the momentum of a system is equal and conserved before and after collision. Therefore, the final momentum of the system is 513 kgm/s.
What is the law of conservation of momentum?The law of conservation of momentum states that, for two or more bodies which are present in an isolated system that are acting upon each other, their total momentum remains constant in the system unless an external force is applied on them. The expression for conservation of momentum is:
m₁ u₁ + m₂u₂ = m₁v₁ + m₂v₂
where, m₁ = mass of one object,
m₂ = mass of another object,
u₁ and u₂ are the initial velocities of objects,
v₁ and v₂ are the final velocities of objects.
Here, m₁ = 95kg, m₂ = 120kg
u₁ = 5.4m/s, u₂ = 0m/s (at rest)
m₁ u₁ + m₂u₂ = m₁v₁ + m₂v₂
95 × 5.4 + 120 × 0 = 95 × v₁ + 120 × v₂
513 + 0 = 95 × v₁ + 120 × v₂
Momentum before collision = Momentum after collision
Therefore, the momentum after collision is 513 kgm/s.
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A 5-ft3 rigid tank contains 5 lbm of water at 20 psia. Determine (a) the temperature, (b) the total enthalpy, and (c) the mass of each phase of water
After that, we will calculate the temperature, total enthalpy, and masses of each water phase using the steam table.
What are temps and what is its unit?Given the water's initial mass and pressure, we can determine whether it is superheated or saturated by utilizing a steam table. On a variety of scales, including the Fahrenheit and Celsius systems, temperature is a unit that is used to denote hotness or coolness.
Heat energy will logically go from a hotter (body with a higher temperature) to a colder (body with a lower temperature) according to temperature (one at a lower temperature).
A comparison of a substance's temperature to a set of hot and cold reference values can be used to determine its temperature. The letter "T" stands for "temperature," which is denoted by the SI unit of "°C."
The three scales that are most frequently used to measure temperature are the Celsius scale, the Fahrenheit scale, and the Kelvin scale.
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By mass, the interstellar medium in our region of the Milky Way consists of
A) 70% Hydrogen, 30% Helium.
B) 70% Hydrogen, 28% Helium, 2% heavier elements.
C) 70% Hydrogen, 20% Helium, 10% heavier elements.
D) 50% Hydrogen, 50% Helium.
E) 50% Hydrogen, 30% Helium, 20% heavier elements.
The 70% Hydrogen, 28% Helium, 2% heavier elements. the interstellar medium in our region of the Milky Way consists of
What is interstellar?
Interstellar is a 2014 science fiction film directed, co-written, and co-produced by Christopher Nolan. The movie follows a team of astronauts who travel through a wormhole in search of a new home for humanity.
The cast includes Matthew McConaughey, Anne Hathaway, Jessica Chastain, and Michael Caine. The film was a major commercial success, grossing over $677 million worldwide, and was nominated for five Academy Awards. Interstellar has been praised for its realistic depiction of space exploration, its innovative visual effects, and its emotional story.
The interstellar medium in our region of the Milky Way is composed of mostly hydrogen (about 70%) and helium (about 28%), with the remaining 2% consisting of heavier elements, such as carbon, nitrogen, oxygen, and dust.
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What details can you add to your model of sound? model being a slinky
Answer:
I really hope this helps
Explanation:
If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density
If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".
One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.
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How do you reduce high latency?
Increasing internet speed and bandwidth will help to solve the latency issues. You'll need a network connection with a minimum speed of 15 mbps in order to use the internet efficiently.
Explanation of the previous response:Eventually, purchasing faster gear will be your best bet for obtaining lower latency. The system's overall latency can be considerably decreased by a faster CPU and GPU. Using the Reflex SDK's Game and Render latencies in games: If your Game Latency is excessive, think about getting a faster CPU.
In general, a latency (or ping) of 40 to 60 milliseconds (ms) or less is considered acceptable, whereas a speed of more than 100 ms will typically result in a significant lag in gaming. The performance of the game is affected by a number of variables.
the GPU, the HDD or SSD that the game is installed on, the amount and speed of RAM, the number of processing cores, and the speed of the disc.
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A 74 kg student, starting from rest, slides down an 11.8 meter high water slide. What is his kinetic energy at the bottom of the slide
The kinetic energy of the student at the bottom of the slide with a velocity of 15.21 m/s is 8,557.36 J
The mass of the student = 74 kg
The distance of the slide = 11.8 m
The final velocity at the bottom of the slide can be found using
v² = u² + 2ax
where v is the final velocity
u is the initial velocity
a is the acceleration due to gravity
x is the distance
Let us substitute the known values,
v² = 0 + 2 x 9.8 x 11.8
v² = 231.28
= √231.28
v = 15.21
Therefore, the kinetic energy at the bottom of the slide is
K.E = 1/2mv²
= 1/2 x 74 x 231.28
= 8,557.36 J
The kinetic energy of the student is 8,557.36 J
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Please help I have to turn it in tomorrow
Answer:
i think the answer is a
Explanation:
hope i am right
Which of the following is true?
O Two objects with the same speed always have the same velocity.
O The velocity of an object can change even if the speed of the object remains constant.
O Velocity describes how fast an object is changing speed.
O Velocity is independent of direction.
The velocity of an object can change even if the speed of the object remains constant.
How are starting and final velocities calculated?Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared (s). Final velocity (v) is equal to the square root of initial velocity (u) squared plus two times the acceleration (a) times displacement when v is the variable being solved for (s).
What distinguishes initial from final?In physics, an object's initial position is its starting point for motion, and its final position is where it comes to rest.
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30 points!
Which option best describes a planet with the highest gravity?
a small, high mass planet
a large, low mass planet
a large, high mass planet
a small, low mass planet
Answer:
F = G M m / R^2 or g = F/ m = G M / R^2
(A) A small high mass planet obviously fits the first description.
A 16-cm-long nichrome wire is connected across the terminals of a 1.5 V battery.
What is the electric field inside the wire?
What is the current density inside the wire?
If the current in the wire is 2.0 A , what is the wire's diameter?
The electric field inside the wire is equal to 1.5 V/16 cm, or 0.09375 V/cm.
What is battery?
Battery is a device that stores energy and is capable of providing a current of electricity when connected to an electrical device. It typically consists of one or more electrochemical cells, which convert stored chemical energy into electrical energy.
The current density inside the wire is equal to 2.0 A/16 cm, or 0.125 A/cm.
The wire's diameter can be calculated using the formula I = πρd2/4,
where I is the current in the wire,
ρ is the resistivity of nichrome,
and d is the diameter of the wire.
Plugging in the values given,
we get 2.0 = π(1.1×10-6 Ω•m)d2/4, or d2 = 8.18×10-5 m.
Taking the square root of both sides, we get d = 0.028 m, or 2.8 mm.
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A 45 g golf ball collides elastically with an identical ball
at rest and stops. If the second ball's final speed is
3.0 m/s, what was the first ball's initial speed?
Which of the following statements is probably true about the very first stars in the universe?
a. They were made only from hydrogen and helium.
b. H2
c. True
d. More massive than a hundred times the Sun
The correct statement about the very first stars in the universe is that they were made only from hydrogen and helium.
What is universe?
The universe is the totality of existence, encompassing all matter, energy, space, and time, and the physical laws and constants that govern them. It is the sum total of all that exists, was, and will be, including all galaxies, planets, stars, and phenomena such as light, gravity, and electromagnetic radiation. The universe is believed to have originated with a massive explosion known as the Big Bang, estimated to have occurred around 13.8 billion years ago. Since then, the universe has been expanding outward, ever increasing in size, complexity, and energy density. Scientists believe that the universe is composed of a vast array of components, including dark matter, dark energy, and dark radiation.
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the welding process that uses flux-cored wire without the use of an external shielding gas is called
Self Shielding FCAW is the use of an outside shielding gas.
What is FCAW with self-shielding?Many advantages come with self-shielded circulation arc welding (FCAW-S), such as good weldability, metal deposition rates, and exceptional chemical and mechanical qualities.
Self-shielding wire: what is it?With self-shielding wires, there is no need for a gas cylinder because they don't need an inert gas when the arc is operating.As a result, it's a fantastic option for offshore applications or situations where mobility is crucial.
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A certain satellite orbiting Earth has a speed of about 17,000 miles/hour. What is its approximate speed expressed to the correct number of significant figures in kilometers/second
The speed of the satellite in terms of kilometers per second is 455.89 km/sec
The speed of the satellite = 17,000 miles/hour
The speed of the satellite can be converted into kilometers/second by converting the miles into kilometers and then the hour into seconds
1 miles = 1.609 km
Thus, the speed of the satellite,
= 17,000 x 1.609 km/hour
= 27,353 km/hr
Then, the speed of the satellite in one second is
1 hour = 60 seconds
Thus, the speed of the satellite,
= 27,353 x 1/60 km/sec
= 455.89 km/sec
Thus, the speed of the satellite is 455.89 km/sec
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Which of these situations describe the motion shown in the motion diagram at point a?
consider the following situations:
a car is moving along a straight road at a constant speed.
a car is moving along a straight road while slowing down.
a car is moving along a straight road while speeding up.
a hockey puck slides along a horizontal icy (frictionless) surface.
a hockey puck slides along a rough concrete surface.
a cockroach is speeding up from rest.
a rock is thrown horizontally; air resistance is negligible.
a rock is thrown horizontally; air resistance is substantial.
a rock is dropped vertically; air resistance is negligible.
a rock is dropped vertically; air resistance is substantial.
The right response is a hockey puck slides along a horizontal icy frictionless surface and as a car is going along a straight road at a constant pace, according to the motion diagram.
The car is shown in the diagram starting at point a. The arrows remain pointing in the same way. This indicates that the thing is travelling directly forward. The arrows stay stationary at A. This indicates that the thing is travelling continuously.
The speed of the puck is not impacted by friction while it is moving on an ice rink surface. So, it is reasonable to suppose that it is moving at a constant speed before to impact.
The work done is zero only if there is no non-conservative force, such as friction, because the kinetic energy does not vary and the car is going along a straight, horizontal road. The work done will be force into displacement if there is friction.
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A very powerful vacuum cleaner has a hose 2.27 cm in diameter. With no nozzle on the hose (no change to hose area), what is the weight of the heaviest brick it can lift
A very powerful vacuum cleaner has a hose 2.27 cm in diameter. The atmospheric pressure is 1.00 atm=101,300 Pa. then vacuume cleaner generate the force F = 65.1 N
What does diameter mean?A line that is straight and cuts through the middle of a body or figure. Particularly: the length of a diameter; a line segment passing through the center of a circle with its ends on the circumference.
Calculation -:Given,
diameter of the nose is d= 2.86 cm
radius of the nose r= 1.43 cm = 1.43× [tex]10^{-2}[/tex] m
We know F=P.A
where P is the atmospheric pressure and A is the surface area of the circulsr nose F is the force exerted by vacuume cleaner on the air
∴ F=P ( [tex]\pi r^{2}[/tex])
we know atmospheric pressure, p=1.013×[tex]10^{5}[/tex] pa
F = 1.013 × [tex]10^{5}[/tex] × 3.14 (1.43 × [tex]10^{-2}[/tex]) ^2
⇒ 65.1 N
⇒ F = 65.1 N
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How are velocity and force similar?
Answer: Force
In physical science, a force is something that acts on an object by pushing or pulling it. If the force is strong enough, it changes the position or shape of the object. Forces such as friction, air resistance and simple physical contact touch the object directly, while forces like gravity, magnetism and electrostatics act on the object from a distance. Force is a vector quantity, meaning you can measure both its strength and its direction. The formula to find the measure of a force is force = mass times acceleration, written as f = ma.
Velocity
The faster something is moving, the higher its velocity.
When an object is moving, one way to measure how fast it is moving is by finding its velocity, which is the rate at which it is changing position. Like force, velocity is a vector quantity, so it includes direction. To find the average velocity of an object, divide the change in its position by the time the movement took, and state its direction. For example, if a car is driving north and in one hour's time it travels 30 miles, its velocity is 30 miles per hour, north.
\_:Peepato1234:_/
the goal of condensed matter physics is to explain all the properties of matter by its electronic configuration
The study of the macroscopic characteristics of materials is known as condensed matter physics.
It attempts to predict the collective behaviours of extremely large quantities of electrons, atoms, or molecules using the well-established rules of microscopic physics.
More unusual condensed phases include the Bose-Einstein condensate found in ultracold atomic systems, the ferromagnetic and antiferromagnetic phases of spins on crystal lattices of atoms, and the superconducting phase displayed by some materials at low temperatures. Condensed matter physicists use experiments to measure different material properties and mathematical models developed by using the physical laws of quantum mechanics, electromagnetism, statistical mechanics, and other theories to understand how these phases behave.
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during the game, a player flies above a ring and drops a ball through from a height of 20 m. f the ball takes 7.0 seconds to fall, find the acceleration due to graviit
The acceleration due to gravity is 0.8 m/s^2.
What is an explain acceleration?Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
What is the SI unit for acceleration?In physics, acceleration is the rate at which the velocity of an object changes in relation to time. According to Newton's Second Law, the sum of all forces acting on an item results in its acceleration. Meter per second squared (m s2) is the unit of acceleration used in the SI system.
The motion of an object in free fall is a uniformly accelerated motion,
[tex]s=ut+\frac{1}{2} gt^2[/tex]
s is the vertical displacement
u is the initial velocity
t is the time of flight
g is the acceleration of gravity
For the ball dropped,
s = 20 m
t = 7.0 s
u = 0
Now, substitute values,
[tex]20=0+\frac{1}{2} g(7.0)^2[/tex]
[tex]g=\frac{2*20}{7.0^2}[/tex]
[tex]g=0.8 m/s^2[/tex]
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How much work is done by gravity to cause a 12.0 kg stone to drop from a height of 22.0 m to a height of 3.00 m?
Answer:
Work done is 2280 Joules.
Explanation:
Work done can be found using the formula
[tex]W=Fs\\[/tex]
where:
W is work done ( in Joules)
F is force ( in Newtons)
s is displacement ( in Meters)
Assuming we are on Earth, we can find the force acting on the object using the mass with the following:
Mass × 10 = Force
12.0 × 10 = 120N
Moreover, we can find displacement by simply subtracting the final distance from the starting distance:
22.0m - 3.00m = 19.0m
Therefore,
[tex]W = Fs[/tex]
[tex]W = 120N[/tex] × [tex]19m[/tex]
[tex]W= 2280J[/tex]
According to Gordon Allport, which type of personality traits are the most dominant?
According to Gordon Allport, the type of personality traits that are the most dominant is the central trait or the basic trait.
What is trait?This refers to a distinctive quality or character of a person. For example curiosity, fair, and dark. etc.
Gordon Allport is a psychologist and personality theorist. He divided personality traits into three categories: cardinal, central, and secondary. According to Allport, the most dominant type of personality trait is the central trait, also called as the "basic trait."
These traits are fundamental to a person's character and shape their overall personalities, such as honesty, kindness, and intelligence. Cardinal traits, on the other hand, are rare and extremely influential traits that shape a person's entire life and behavior, such as religious devotion or political ideology. Secondary traits are less important and more specific, such as being punctual or having a sense of humor.
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A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground. What is the work done by this individual.
A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground. Then the work done by this individual is7.7×[tex]10^{5}[/tex]J
The work done by the skydiver can be calculated using the equation
W = mgh,
where m is the mass of the skydiver, g is the acceleration due to gravity, and h is the altitude of the skydiver.
In this case, the mass of the skydiver is 78 kg, g is 9.8 m/s2, and the height is 870 m.
Thus, the work done by the skydiver is 7.7 ×[tex]10^{5}[/tex] J.
This work is the energy that the skydiver has gained from the gravitational potential energy due to the difference in altitude between the ground and the skydiver's position. The work can be converted into kinetic energy due to the skydiver's speed of 62 m/s.
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Expression for kinetic energy is __________ while that of potential energy is __________
A 2kg block i attached to a pring for which k=200n/m it i held at an extenion of 5cm and then releaed at t=0. A, Find the diplacement a a function of time?
B,the velocity when X= A/2
C, the acceleration when X=A/2
D, the total energy when X=A/2
Accurate choice is (A) In this case, m=2kg,k=50Nm 1, and A=5cm=0.05m. Block SHM executes. its angular frequency is 1. Because the time is measured from the equilibrium position, its displacement at any time t may be calculated using the formula x=Asint=0.05sin5tm.
Oscillation and vibration: what are they?Back and forth motion is described by the terms oscillation and vibration. Oscillation is typically used for slower motion, while "vibration" is typically used for action that is fairly quick. However, they have similar traits, hence in this book, the two terms will be used interchangeably.
What is motion-induced oscillation?Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force, an object in such motion oscillates about an equilibrium position.
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New ecosystems have been created by human land use.
Answer:
Yes
Explanation:
When humans use land, they change it to accommodate their own needs, and thus new locations and new habitats for other organisms are created. These organisms can now live there and create new organisms, and thus create new ecosystems as a result of human use of that particular piece of land.