Which of the following distance vector features prevents routing loops by advertising an infinite metric route when a route fails?

Answers

Answer 1

Route poising, as opposed to merely discontinuing to display the route, refers to promoting the unsuccessful route with a "infinite" metric. Poison reversal is the practice of poisoning a route by publicizing it.

Reverse is what?

In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in equations or equations with its opposite in order to depict a situation in which time moves backwards or the motion are inverted. The cosmos cannot be "unmixed." This eventually suggests the time only exists as a result of the Big Bang.

Reverse time: What is it?

In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in formulas for equations with its opposite in order to represent a situation in which time moves backward or all motions are inverted.

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Related Questions

Clancy has set up a pulley system to lift a 1400 N air conditioner 9.1 m up. The pulley system is 68% efficient. If Clancy has to exert a force of 110 N, how much rope will he have to pull to lift the air conditioner?

Answers

Answer:

Explanation:

Given:

F₁ = 1400 N

D₁ = 9.1 m

η = 68%;    η = 0.68

F₂ 110 N

__________

D₂ - ?

If the pulley system is 100% efficient:

D₂'  = F₁·D₁  / F₂ = 1400·9.1 / 110 ≈ 115.8 m

If the pulley system has the code 68% :

D₂ = D₂' / η = 115.8 / 0.68 ≈ 170 m

A typical ceiling fan running at high speed has an airflow of about 1.25 ✕ 103 ft3/min, meaning that about 1.25 ✕ 103 cubic feet of air move over the fan blades each minute.

Answers

The speed of 1.25 ×10³ ft³/min of the airflow is equivalent to 0.56 m³/s.

What is speed?

The speed of a moving body can be defined as a measurement of how quickly the distance a body traveled changes with time. Speed is defined as a scalar parameter as it exhibits magnitude but no direction.

A body that travels faster and with high speed, can travel a lot of ground in a lesser time.

Given, the speed of the airflow of the fan = 1.25 ×10³ ft³/min

We have to express the  ft³/min  into  m³/s:

We know that 1 foot = 0.3 m  and 1 min = 60 s

1.25 ×10³ ft³/min  = 1.25 ×10³ (0.3 m)³/ 60 s

1.25 ×10³ ft³/min  = 0.56 × 10³ ×10⁻³ m³/s

1.25 ×10³ ft³/min  = 0.56 m³/s

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Given the following two (2) force vectors F₁-5i-2j+3k [N] and F2= 8i+2j+3k [N], find (a)
The angle between both vectors. Next, find (b) the projection (or shadow length) of force F1 on F2.
Lastly, find (c) the projection of F2 on F₁. Show all work and make sure you use proper vector
otation. (Hint: Use Dot Product)

Answers

Refer to the attached photo. Would appreciate a rate :)

a student performs a standard two-slit interference experiment, and the interference pattern is projected on a screen. using a light sensor, the intensity of the pattern is measured, and a plot of intensity versus position is created.

Answers

The intensity of the pattern is measured, and a plot of intensity versus position is A) - 40 cm , + 40 cm , - 10 cm , 0.0 cm , + 30 cm , - 30 cm

A) - 40 cm , + 40 cm , - 10 cm , 0.0 cm , + 30 cm , - 30 cm

B) - 5cm, +5cm, -15cm, +15cm, -25cm, +25cm, -35cm, +35cm, -45cm, + 45cm

C) 0.0 cm

D) -40 cm, + 40cm

E) -25cm, + 25cm.

Intensity is the amount of energy a wave transports in one unit of area per unit of time and is also equal to the energy density multiplied by the wave velocity. Usually measured in watts per square meter. Intensity depends on wave strength and amplitude.

Wave strength is defined as the speed at which a wave transfers energy divided by the area over which the energy travels. In other words, intensity is the rate of energy flow per unit area. The term intensity is used to describe the speed at which light travels across a given area of ​​the surface at some distance from the light source.

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What is this formula in full words:

W=MxG=W on X Planet

Answers

Answer:

Weight = Mass × Gravity ( = Weight )

Explanation:

I'm not really sure why it says = W two times but anyways:

W is used to represent the weight of something

M is used to represent the mass of something

G is used to represent gravity ( in simple terms )

G more specifically means gravitational acceleration

Note: W can also mean watt but in this case it means weight

:)

A car travels east with an acceleration of 0.20 m/s2east. It takes 45.0s to travel from position xiat 250.0 m east of the origin, to position xfat 1250 m east of the origin. What is the initial velocity of the car at position xi

Answers

With the use of second equation of motion, the magnitude of the initial velocity of the object is 17.72 m/s

What is Velocity ?

Velocity is the distance travel in a specific direction per time taken. It is a vector quantity and it is measured in m/s

Given that a car travels east with an acceleration of 0.20 m/s². It takes 45.0s to travel from position xi at 250.0 m east of the origin, to position xf at 1250 m east of the origin. That is,

Acceleration a = 0.20 m/s²Time t = 45 sDistance s = 1250 - 250 = 1000 m Initial velocity u = ?

The initial velocity of the car at position xi can be found by using the formula

s = ut + 1/2at²

Substitute all the parameters

1000 = 45u + 1/2 × 0.2 × 45²

1000 = 45u + 202.5

45u = 1000 - 202.5

45u = 797.5

u = 797.5/45

u = 17.72 m/s

Therefore, the initial velocity of the car at position xi is 17.72 m/s

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During each heartbeat, approximately 73 cm^3 of blood is pushed from the heart at an average pressure of 105 mm-Hg. Calculate the power output of the heart, in watts, assuming 70 beats per minute.

Answers

The heart's power output , based on an assumption of 70 beats per minute, is 0.93W. An average of 105 mm-Hg of pressure is used to push out 73 cm3 of blood throughout each heartbeat.

Power is the quantity of energy that is transported or transformed per unit of time in physics. The average blood pressure is 105 mm Hg, or 70 beats per minute, or 1.16 beats per second (1 mm Hg = 133 N/m2), depending on the number of heartbeats per minute.

Power output is given by the formula P =nW,

where n =heart rate work done is given by the formula

W = =pAd =pV,

therefore W =pV.

derived from equations (1) and (2), P =nPV = ((70/60)beats/s)(105133 N/m2)(7310-6m3)

P = 0.93 W for power output

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accelerat
ion due to gravity and radius of gyrations experiment table​

Answers

The acceleration due to gravity is the acceleration gained by an object due to gravitational force.

What is acceleration due to gravity?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. Its vector nature which includes both magnitude and direction makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s².

The distance a body's entire mass can be concentrated without changing its moment of rotational inertia about an axis through its center of mass is known as the radius of gyration.

Note that your information was incomplete and an overview was given.

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What is wavefonts ?
Hi​

Answers

I think you meant wavefronts. Wavefronts are a useful way of picturing waves from above. Each wavefront is used to represent a single wave. This is basically a representation form of waves. You can identify many features of the waves according to the wavefronts. For instance, the space between each wavefront represents the wavelength; the shorter the space between lines, the shorter the wavelength.

Mike runs 400 m at track race in 58 seconds. What is his velocity?

Answers

Answer:6.897m/s

Explanation: velocity is the change of distance with time in a specified direction.

therefore to find velocity divide distance given by Time

V=distance/time

  =400m/58s

  =6.897m/s

A 2.0 kg block slides on a frictionless 15° inclined plane. A force parallel to the inclined plane is applied to the block. The acceleration of the block is 1.5 m/s? downhill. What is the applied force?

Answers

The applied force on the block sliding on the frictionless inclined plane is 1.9 N.

What is friction?

Friction is the force that opposes the sliding or rolling motion of one body relative to another. For example, when you want to stop or slow down, you use your car's brakes because the friction created between the brakes and the wheels slows down or stops the car.

The unevenness of the two contact surfaces creates friction. When an object rides on another object, the surface irregularities become entangled and friction occurs. The rougher the surface, the more irregularities there are, and the greater the friction.

Equation of motion along an inclined plane:

Fₙ = (m×g×sinθ) - (m×a)

Where, Fₙ = applied force

m = mass of the block (2.0 kg)

g = gravitational acceleration (9.8 m/s²)

a = acceleration (1.5 m/s²)

θ = inclination of plane (15°)

Fₙ = (2 × 9.8 × sin15) - (2 × 1.5)

Fₙ = (19.6 × 0.25) - 3

Fₙ = 4.9 - 3

Fₙ = 1.9 N

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what part of the process of star birth did you find most counterintuitive and why?​

Answers

Answer: how long it took.

Explanation: i know nothing is really instant, but its ridiculous that it took over 1.6 million years for the temperature to drop to a thousand degrees after the big bang expansion. and then even after that, it took millions of years to make the first one. regardless, it is still incredible.

What is ay or g for any projectile?

Answers

Answer: Negative

Explanation: The acceleration along the y-axis for any projectile motion will always be -9.8m/s^2.

What BEST describes the process that happens when water evaporates from a lake?

A. As water evaporates from a lake, it becomes a gas that spreads throughout the air. This
gas sometimes cools as it rises, condenses, and helps form clouds.
B. As water evaporates from a lake, it becomes tiny droplets of liquid water that rise to
form clouds.
C. As water evaporates from a lake, it becomes tiny droplets of liquid water. When
these droplets reach a specific height, they fall back to Earth in the form of rain.
D. As water evaporates from a lake, it becomes a gas that moves directly into clouds
without ever being part of the air outside of the clouds.

Answers

The statement that best describes the process that happens when water evaporates from a lake is as follows: As water evaporates from a lake, it becomes a gas that spreads throughout the air. This gas sometimes cools as it rises, condenses, and helps form clouds (option A).

What is evaporation?

Evaporation is the process in which all or a portion of liquid (in a container) is turned into vapour, in order to increase the concentration of solid matter in the mixture.

Evaporation is the process that changes liquid water to gaseous water (water vapor). Water moves from the Earth's surface to the atmosphere via evaporation.

Evaporation occurs when energy (heat) forces the bonds that hold water molecules together to break. Condensation is the direct opposite of evaporation and is the process whereby water vapor (gas) turns back into liquid water.

Condensation occurs when saturated air is cooled, such as on the outside of a glass of ice water. Therefore, option A is what occurs when evaporation occurs in a lake.

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Unbalanced forces have no change in motion and ______ equal zero



just need the answer that fills the blank space plsss

Answers

Answer

due to balanced forces, an object in motion cannot change its direction or speed, and also the net forces act a zero in balanced forces.

Explanation:

Unbalanced forces have a change in motion and they have a resultant force in a direction. Whereas, a balanced force does not change in direction and the resultant force is zero.

What is force?

Force is an external agent acting on  a body to make it changed in its state of motion or rest or to deform it. There are various kinds of forces such as magnetic force, nuclear force, gravitational force, frictional force etc.

If there are two or more forces acting on a body from the same direction, then the net force will be the sum of all the forces. If the two forces are equal in magnitude and if act from the opposite directions they will cancel each other and will not make a displacement. Such forces are called balanced forces.

The imbalance in force on a body is made by the change in direction or in magnitude of the forces. Then there will be a net force and will make the body a change in its motion.

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A 2050 kg space station orbits Earth at an altitude of 4.89 x 105 m. Find the magnitude of the force with which the space
station attracts Earth. The mass and mean radius of Earth are 5.98 x 1024 kg and 6.37 x 106 m, respectively.

Answers

Answer:

Explanation:

Given:

m = 2 050 km

M = 5.98·10²⁴ kg

h = 4.89·10⁵ m

R = 6.37·10⁶ m

____________

F - ?

F = G·m·M / R²

F = 6.67·10⁻¹¹·2050·5.98·10²⁴ / (6.37·10⁶)² = 18 400 N

5. Refer to Model 3. What is the relationship between the frequency of electromagnetic radiation and the
wavelength of electromagnetic radiation? Cite numerical evidence to support your answer. Need this ASAP

Answers

Answer:

The frequency and wavelength of electromagnetic radiation are inversely related.

Explanation:

Frequency and wavelength are inversely proportional. Theoretically, they are governed by [tex]\lambda * f = v[/tex], where lambda represents the wavelength, f represents the frequency, and v represents the speed of a wave. In this case, we can empirically notice from model 3 that as the wavelength increases(i.e., we move to the right of the electromagnetic radiation spectrum), the frequency decreases and vice versa. For example, long radio waves have a very high wavelength and a low frequency, whereas gamma rays(on left) have very high frequencies and low wavelengths. Thus, we can conclude that they are inversely related.

A stone is thrown horizontally from a vertical cliff at a speed of 20 meters per second. The cliff is 30 meters above sea level and the
stone hits the sea after 2.5 seconds.
How far from the base of the cliff is the stone when it hits the sea? (g = 10 m/s)
1.5 POINTS

Answers

Refer to the photo taken.

Answer:

Below

Explanation:

Find out how long it takes to fall the 30 m ....then use this time and the horizontal velocity to find the answer

For vertical :   d = 1/2 a t^2

                      30 = 1/2 (10) t^2      so t = sqrt 6

Horizontal velocity * time = distance from cliff base

          20 m/s   *   sqrt 6 = 48.99 = ~ 49 meters

     

can anyone help me with this question:
a swimmer swims at 5m/s. How long would it take to swim 5 laps of a 50m pool

Answers

Answer:

Time=Distance÷Speed

Time=250m(50m×5)÷5m/s

Time=50s

why do living organisms release radiation

Answers

To maintain constant body temperature, living organisms release heat radiation.

What is the process of release heat radiation by living organisms?

Life is dependent on homeostasis, which is the preservation of stable internal conditions, in warm-blooded animals. The consistent body temperature is one of homeostasis's signs. Depending on the species, this temperature for animals should range from 35 to 39.5 °C.

A portion of the heat generated in cells during breathing must be expelled in order to maintain a steady body temperature. Living things can lose heat through convection, conduction, radiation, and the loss of water through breathing and sweating (2260 KJ/Kg is the heat at which water vaporises). Imperceptible sweating and perceptible sweating are the two types of sweating that exist. The body naturally experiences unnoticeable sweating throughout the day.

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The setup time of a clocked flip-flop is:
A) The minimum amount of time that an input must remain stable after an active clock
transition.
B) The maximum amount of time that an output must remain stable after an active clock
transition.
C) The minimum amount of time that an output must remain stable before an active clock
transition.
D) The minimum amount of time that an input must remain stable before an active clock
transition.

Answers

The setup time of a clocked flip-flop is:

The minimum amount of time that an output must remain stable before an active clock transition.

What is a Flip flop ?

A flip-flop is a device that can hold a single bit of data (a binary digit); one of its two states corresponds to a "one," and the other to a "zero." Such data storage can be used to store state, and in electronics, such a circuit is known as sequential logic.

The output state changes of a timed flip-flop can be synced to a clock pulse thanks to an additional input.

Data must be at a valid logic level at setup time (tS), which is defined as the time before the DAC clock shift.

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(10.6) A Hubble constant of 50 km s−1 Mpc−1 corresponds to a Hubble time of about 20 billion years.
What would be the Hubble time for a Hubble constant of 100 km s−1 Mpc−1? 75 km s−1 Mpc−1?
If the rate of expansion of the universe is slowing
down with time, will the Hubble time over- or underestimate the age of the universe?

Answers

The Hubble time for a Hubble constant of 100 km/s.Mpc would be equal to 10  billion years.

What is Hubble’s Law?

Hubble’s law can be described as the velocity of the galaxy, which is called the redshift, is directly proportional to its distance.

Hubble time can be described as the age taken by the universe to expand if the expansion was linear. Hubble time is dependent on the dimensionless factor, mass, and energy of the universe.

Hubble time for the Hubble constant is given as follows:

[tex]{\displaystyle t_H =\frac{1}{H_o}[/tex]

Given the Hubble constant, H₀ = 100 Km/s.Mpc

[tex]{\displaystyle t_H =\frac{1}{H_o} =\frac{1}{100}\times 3.16 \times 10^{19}[/tex]

[tex]{\displaystyle t_H =3.16 \times 10^{17}s[/tex]

[tex]{\displaystyle t_H =\frac{3.16 \times 10^{17}s}{3.16\times 10^{7}}[/tex]

[tex]{\displaystyle t_H = 10^{10}\;years[/tex]

[tex]{\displaystyle t_H = 10 \; billoin \; years[/tex]

Therefore, the Hubble time for a Hubble constant of 100 km/s Mpc is 10 billion years.

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The density of water in a lake is 1000 kg/m³
At a depth of 25m beneath the surface of the lake, the total pressure is 3.5×10⁵ Pa
(a) State what is meant by pressure.
(b) The gravitational field strength is 10 N/kg
. Determine:
(i) the pressure due to 25m of water
pressure =
(ii) the atmospheric pressure=____
atmospheric pressure =_____

Answers

(i) The pressure due to 25m of water is 250,000 Pa.

(ii) The atmospheric pressure is 100,000 Pa.

What is pressure?

Pressure can be defined as the force per unit area of an object.

Mathematically, the formula for pressure of an object is derived as;

P = F/A

where;

F is the applied force on the objectA is the area of the object

P = (mg) / (V/h)

P = (mgh) / V

P = (m/V)gh

where;

m is massV is volume of the objectg is acceleration due to gravityh is height or depth

Density of an object or a substance is known as mass per unit volume of the substance.

P = (ρ)gh

where;

ρ is the density

The pressure due to 25m of water is calculated as follows;

pressure = (ρ)gh

pressure = 1000 kg/m³   x   10 N/kg    x    25 m
pressure = 250,000 Pa

The atmospheric pressure is calculated as;

P(atm) = P(total) - P(water)

P(atm) = 350,000 Pa  -  250,000 Pa

P(atm) = 100,000 Pa

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Can you pls help me​

Answers

The answer is B because she’s walking the same speed

Element Q has a half-life of 30 minutes. Which of the following statements is true regarding 4 nuclei of element Q after 90 minutes? Half of the last remaining nucleus will decay There will be 4 nuclei left There is a 50% chance the last remaining nucleus will have decayed There will be 2 nuclei left.

Answers

After 90 minutes, there is a 50% chance that the final nucleus will have decayed because element Q has a half-life of 30 minutes for its 4 nuclei. This phrase is frequently used in nuclear physics.

Examining the interaction that now exists between chemists and philosophers of chemistry gives a very singular chance to consider the conceptual nature of the term "element." Robert Boyle, an English scientist, initially proposed the chemical element. A quantity (of substancehalf-life )'s (symbol t12) is the amount of time needed for it to decrease to half of its original value. The phrase is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactively.

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Part A Is the electric field strength in (Figure 1) changing, or not changing? Match the words in the left column to the appropriate blanks in the sentences on the right. Reset Help Ampere-Maxwell law, first half, According to the magnetic field Ampere-Maxwell law, second half, Faraday's law, can create the electric field, and not vice versa. So the figure doesn't make sense. is created by currents. Since there is no current, the figure doesn't make sense. can be created by the static electric field. So the electric field strength is not changing. can be created by the changing electric field. So the electric field strength is changing

Answers

According to Ampere Maxwell's law, the first half, the magnetic field can be created by the changing electric field. So, the electric field strength is changing.

In a static electric field, according to Ampere maxwell law, the divergence at one point is equal to the electric charge volume density ρ at that point divided by ε0. The physical meaning of this statement is that a circulating magnetic field is created by an electric current and also may be by an electric field that changes with time.

An electric current, or we can say a changing electric flux through a surface, has the ability to produce a circulating magnetic field around a path that bounds the given surface. The direction of the current and the induced magnetic field is known by the right-hand rule, as shown below.

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A net force of 140 Newton's is applied to a wagon for 10 seconds. This causes the wagon to undergo a change of momentum of

Answers

When a net force of 140 Newton's is applied to a wagon for 10 seconds, this causes the wagon to undergo a change of momentum of  1400 Newton-second.

What is momentum?

momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

Given that:

Net force acting on the wagon: F = 140 Newton.

Time duration: t = 10 seconds.

According to Isaac Newton's second equation of motion:

Force acting on the wagon = change in momentum/time duration

Change in momentum =  Force acting on the wagon × time duration

= 140 × 10 Newton-second.

= 1400 Newton-second.

Hence, The wagon  undergoes a change of momentum of 1400 Newton-second.

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a 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t

Answers

The average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about b. 10000N

As is visible from the graph

the velocity of the space probe at t = 0 sec

v₁ = 5000 m/s

the velocity of the space probe at t = 100 sec

v₂ = 0 m/s

therefore, average negative acceleration = v₂ - v₁ / t

= 0 - 5000 / 100 m/s²

therefore average force exerted on the probe

F = ma = 200 × 50 N

= 10000N

hence the average force is 10000N

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(complete question)

A 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about... A) 2 800 N B) 10 000 N C) 145 000 N D) 29 000 000 N

Answer:
2). Until it was recently discontinued, the fastest jet plane in the skies was
the Lockheed SR-71 Blackbird. However, this plane did not reach its
high speeds through large acceleration. The plane had a mass 7.7x104 kg and was
driven by an estimated unbalanced force of about 7.23x105 N. What was the
acceleration of the Lockheed SR-71?

Answers

The acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass, and using the formula F = m × a, where m = mass, a = acceleration.

What is acceleration?

The rate at which an object's velocity with respect to time changes is called its acceleration. It is a vector quantity. The direction of the net force imposed on an object determines its acceleration in relation to that force.

What is force?

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

What are the calculations?

F = m × a

7.23 × [tex]10^{5}[/tex]  = 7.7 × [tex]10^{4}[/tex] × a

9.38 × [tex]10^{2}[/tex] = a

Hence, the acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass.

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an athlete of mass 50 kg runs up a hill the foot of the hill is 400m above sea level. by how much potential does the athletes gravitational potential energy increase? (Acceleration due to gravity g=10 m/s2

Answers

The potential of the athletes gravitational potential energy during running up a hill increases by 245000 Joules.

What is the gravitational potential energy?

The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy. Because of the Earth's gravitational pull on the object, the energy is stored.

The relationship between mass, gravity, and change in height is defined mathematically. The formula is used to calculate it is:

PE = m × g × h

Here, it is given that-

The mass of the athlete = 50 Kg

The Initial height, h1 = 400 m

The final height, h2 = 900 m

Firstly, gravitational potential energy is calculated when athlete is at a height of h1 that is 400 m. On the putting the given values in the formula-

PE1 = 50 × 9.8 × 400

PE1 = 196000 Joules

Next, we will calculate the gravitational potential energy when athlete is at a height of h2 that is 900 m. By putting the values in the formula, we get-

PE2 = 50 × 9.8 × 900

PE2 = 441000 Joules

Now, to calculate the increase in gravitational potential energy when athlete runs up a hill from a height of 400m to 900m we can subtract the potential energies-

Potential by which athlete's gravitational potential energy increases = PE2 - PE1 = 441000 - 196000 = 245000 Joules or 245 kilo joules

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The complete question is:

An athlete with a mass of 50 kg runs up a hill. The foot of the hill is 400 m above sea level and the summit is 900 m above sea level. Calculate by how much the athlete's gravitational potential energy increases.

While running up a hill, an athlete's gravitational potential energy increases by 245,000 joules.

How much energy does gravity potentially hold?

Gravitational potential energy is the amount of energy an object may hold depending on its height or vertical position. The energy is trapped by the gravitational pull of the Earth on the object.

Mathematical formulas are used to define the relationship between mass, gravity, and height change. It is calculated using the following formula:

PE = m × g × h

It is said here that-

The athlete weighs 50 kg.

Initial height, 400 m (h1)

H2 = 900 metres is the final height.

First, the athlete's gravitational potential energy is determined when they are 400 metres above the ground (h1). Upon entering the specified values into the formula:

PE1 = 50 × 9.8 × 400

196000 Joules for PE1.

The gravitational potential energy for an athlete at a height of h2 of 900 m will then be determined. When we enter the values into the formula, we obtain:

PE2 = 50 × 9.8 × 900

PE2 equals 441,000 Joules

Now, we can subtract the potential energies to determine the increase in gravitational potential energy that occurs when an athlete sprints up a hill from a height of 400 to 900 metres.

PE2 - PE1 = 441000 - 196000 = 245000 Joules, or 245 kilojoules, is the potential by which an athlete's gravitational potential energy increases.

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