The average marathon runner can complete the 42.2-km distance of the marathon in 3 h and 30 min. If the runner's mass is 85 kg, what is the runner's average kinetic energy during the run

Explanation:

"Work is negative," the correct answer is, "the object did work on the environment, and the system's energy declines."

In fact, the work-energy theorem states that work done is equal to kinetic energy variation:

where W represents labor, Kf represents final kinetic energy, and Ki represents starting kinetic energy. Because the kinetic energy is proportional to the velocity v,

Since the final velocity is less than the initial velocity, the work is negative (the system's kinetic energy is reduced).

This also implies that the thing worked on the environment: in reality, by working, the object gave some of its kinetic energy to the environment, resulting in a decrease in kinetic energy.

Answer:

Work is negative, the object did work on the environment, and the energy of the system decreases.

Explanation:

Newton's laws of motion describe the behaviour of objects when they are at rest or in motion.

The 5 lbs bag of sugar is at rest in this situation, and you are exerting a 5 lbs upward force on it. The sugar bag will continue to be at rest unless an outside force acts upon it, in accordance with the first law of motion. It is being subjected to an external force that you are applying.

According to the second law of motion, theforce exerted on the bag of sugar will have a direct proportional effect on how fast it accelerates. The mass of the bag of sugar is 5 pounds, and the force you are exerting on it is 5 lbs. Because\(\textsf{$\frac{\textsf{5 lbs (force)}}{\textsf{ 5 lbs (mass)}}$ = 1 (unit of accleration)}\), the bag of sugar will accelerate by 1 (unit of acceleration).

The third law of motion states that there is an equal and opposite reaction to every action. In this case, the sugar bag pushes down on your hand with a 5 lb force when you push up on it with a 1 lb force. The force you are providing to the bag of sugar will have an equal and opposite reaction here.

Therefore, this scenario illustrates all three of Newton's laws of motion

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Yes, this is an example of Newton's Third Law of Motion. Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. In this example, when you push upwards on the 5 lb bag of sugar with a force of 5 lb, the bag of sugar also pushes downwards on you with a force of 5 lb.In other words, the action is you pushing upwards on the bag of sugar and the reaction is the bag of sugar pushing downwards on you with the same amount of force. So, this is an example of Newton's Third Law of Motion.

Answer:

right

Explanation:

Answer:

The units of kinetic energy are mass times the square of speed, or kg⋅m2/s2 kg ⋅ m 2 /s 2. But the units of force are mass times acceleration, kg⋅m/s2 kg ⋅ m/s 2, so the units of kinetic energy are also the units of force times distance, which are the units of work

Explanation:

EDGE 2021

The airplane change in velocity be 120 m/sec

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

acceleration = velocity/time

Velocity = acceleration * time

Velocity = 60*2

Velocity = 120 m/sec

The airplane change in velocity be 120 m/sec

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Answer:

T = 2.5 s

Explanation:

Given that,

Number of complete orbits = 10

Time, t = 25 seconds

We need to find the period of the orbiting ball. Let it is T. We know that number of oscillations per unit time is called frequency and the reciprocal of frequency is called period of the ball.

So,

\(T=\dfrac{t}{n}\\\\T=\dfrac{25}{10}\\\\T=2.5\ s\)

So, the period of the orbiting ball is equal to 2.5 seconds.

Explanation:

after rereading: Yes, there is a term for water on the moon and it's called lunar water, pretty straightforward. you can check out moon.nasa.gov, or literally look this up in the magical (g-engine) and it'll gove you a few articles.

______________________

oh my, sorry, i thought the question asked if the moon moved water, in which case: I wouldn't say that the moon actually MOVES the water, but yes, its gravitational force is strong enough to affect tides on Earth. (i could've sworn that's what I saw but whatever, sorry!)

Cube moves first, that the cube which is neutral in nature. Hence, the cube which is neutral will move.  

To solve this problem, we need to calculate the electrostatic force between the two charged cubes and compare it with the force of static friction between the cubes and the surface. The cube with the smaller force of friction will begin to move first. The parameter panel and sketch of the problem are shown below:

Parameter Panel:

Mass of cube 1 (m1) = 2.0 g = 0.002 kg

Mass of cube 2 (m2) = 4.0 g = 0.004 kg

Distance between the centers of the cubes (d) = 6.0 cm = 0.06 m

Charge rate of each cube (q) = 7.0 nC/s

Coefficient of static friction (μ) = 0.65

Sketch:

     |-----------|        |-----------|

     |     2     |        |     1     |

     |-----------|        |-----------|

           |                 |

          d=6.0 cm          d=6.0 cm

           |                 |

           |-----------------|

(a) To determine which cube moves first, we need to calculate the electrostatic force between the charged cubes and compare it with the force of static friction between the cubes and the surface. The electrostatic force between two charged objects is given by Coulomb's law:

F = (k * q1 * q2) / d^2

where k is the Coulomb constant (9.0 x 10^9 N m^2/C^2), q1 and q2 are the charges on the cubes, and d is the distance between them. For each cube, the charge is increasing at a rate of 7.0 nC/s, so the charge at any time t is given by:

q = 7.0 x 10^-9 C/s * t

At t = 0, the cubes are neutral and have no charge. At some later time t, the charges on the cubes are:

q1 = 7.0 x 10^-9 C/s * t

q2 = 7.0 x 10^-9 C/s * t

The electrostatic force between the cubes is then:

F = (9.0 x 10^9 N m^2/C^2) * (q1 * q2) / d^2

= (9.0 x 10^9 N m^2/C^2) * [(7.0 x 10^-9 C/s * t)^2 / (0.06 m)^2]

The force of static friction between each cube and the surface is:

Ff = μ * N

= μ * m * g

where N is the normal force, m is the mass of the cube, μ is the coefficient of static friction, and g is the acceleration due to gravity (9.81 m/s^2).

The normal force N is the force exerted by the surface on the cube, and is equal in magnitude to the weight of the cube:

N = m * g

Plugging in the values for each cube, we get:

Ff1 = μ * m1 * g

= 0.65 * 0.002 kg * 9.81 m/s^2

= 0.0127 N

Ff2 = μ * m2 * g

= 0.65 * 0.004 kg * 9.81 m/s^2

= 0.0254 N

Comparing the electrostatic force between the cubes and the force of static friction, we find:

F - Ff1 = (9.0 x 10^9 N)

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The potential and kinetic energy of the system at the following time instances is zero and maximum.

From the given,

The displacement of the system is, x = A cos(3πt/T)

1) At t =0, the displacement of the system is given by, x = cos(3π×0/T)= cos(0) = 1. The displacement is maximum at t=0. Hence, the potential energy is maximum and kinetic energy is zero.

2) At t=T, the displacement, x = cos(3πT/T)= cos(3π) = -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.

3) At t = T/6, the displacement x = cos(3πT/6T)=cos(π/2)=0, the displacement is zero, and hence, both the potential and kinetic energy is zero.

4) At t=T/3, the displacement, x= cos(3πt/T)=cos(3πT/3)= -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.

5) At t=T/2, the displacemetn x = cos(3πt/T) = cos(3πT/2T) = cos (3π/2)=0. Hence, both the potential and kinetic energy is zero.

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The proton's initial acceleration after being emitted is discovered to be 3.449 x 104 m/s².

because there is no magnetic force acting on a charged particle while it is at rest. The proton won't move or experience electric force unless it is forced out of its resting place. The direction of application of the electric force will match that of the acceleration.

In coulombs, the SI's measuring unit for electric charge, it is determined how much charge is transported by a flow of one amp for one second. The ability of a chemical to cause electrical and magnetic effects could potentially be one of its properties.

F = Kq1 q2 / r²

Charge of a proton = 1.6022 x 10⁻¹⁹ c

Mass of a proton = 1.6726 x 10⁻²⁷ kg

r= 2mm => 2 x 10⁻³m

k= 8.99 × 10⁹ N ⋅ m² /C².

F= 8.99 × 10⁹ x (1.6022 x 10⁻¹⁹)² / (2 x 10⁻³)²

  => 5.769 x 10⁻²³N

F = M x a

5.769 x 10⁻²³ = 1.6726 x 10⁻²⁷ x a

=> Acceleration = 3.449 x 10⁴m/s²

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Answer:

Explanation:

From the information given:

The half-life \(t_{1/2}\) = 1.6103 years

The no. of the initial nuclei \(N_o\) = \(4.00 \times 10^6\)

Using the formula:

\(N = N_o exp(-\lambda t)\)

where;

decay constant \(\lambda = \dfrac{In2}{1.6*10^3} y^{-1}\)

∴

\(N = N_o exp ( \dfrac{-In2}{1.6*10^3}\times 4.4 \times 10^3)\)

\(N = N_o exp (- 1.906154747)\)

The number of radium nuclei N = 5.94 × 10¹⁵

The initial activity\(A_o = \lambda N_o\)

\(A_o =(\dfrac{In (2)}{1.61\times 10^3 \times 365 \times 24 \times 3600}\times 4.00 \times 10^{16})\)

\(A_o =546075.8487 \ Bq\)

Since;

1 curie = 3.7 × 10¹⁰ Bq

Then;

\(A_o =\dfrac{546075.8487 }{3.7\times 10^{10}}\)

\(A_o = 1.47588 \times 10^{-5}Ci\)

\(A_o = 14.7588 \ \mu Ci\)

c) The activity at a later time is:

\(=5.94 \times 10^{15}( \dfrac{In (2)}{1.60 \times 10^3 \times 365\times 24 \times 3600})\)

\(= 81599.09018 \ Bq \\ \\ = \dfrac{81599.09018}{3.7\times 10^{10}} \ Ci \\ \\ = 2.20538 \times 10^6 \ Ci \\ \\ = 2.20538 \ \mu Ci\)

Answer:

5 m/s

Explanation:

Total distance = 300 + 100 = 400m

Total time = 60 + 20 = 80s

Velocity = 400/80 = 5m/s

Average velocity of man is 5 meter per second.

To find the average speed of an object we divide the total distance travelled by the total time time taken by object.

Total distance travelled by man = 300 + 100 = 400 m

Total time taken by man = 60 + 20 = 80 seconds

Average velocity,\(=\frac{400}{80} =5m/s\)

Thus, Average velocity of man is 5 meter per second.

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Answer:Never smoke ciga If you are a smoker, throw them away now! Smoking is the number one cause of preventable death. It causes many cancers, heart attacks, strokes, lung diseases, and other nonfatal problems, like stained teeth, poor athletic performance, erectile dysfunction, and bad breath. There is help available to quit, including free counseling at 1-800-QUIT-NOW and medications to ease the cravings. Ask your doctor for help. Stopping is the biggest favor you can do for yourself.

When the wood comes down the change in potential energy of mass 2 kg and velocity 12 m/s is 144 J.

When the object is thrown vertically upwards, the height increases. The potential energy also increases with respect to the height. The potential energy is maximum, and the kinetic energy is zero when the stone moves vertically upwards.

When the object comes down, the potential energy decreases and results in increasing in kinetic energy. When the stone comes down, the potential energy is converted to kinetic energy, and the change in potential energy results in kinetic energy.

From the given,

mass of the wood (m) = 2kg

the velocity of the wood (v) = 12 m/s

kinetic energy (K.E) = mv² / 2

                                = (2×12×12) / 2

                                = 144 J

Thus, the change in kinetic energy is 144 J.

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The three rules of refraction for converging lenses, also known as convex lenses, are as follows:

1. The incident ray parallel to the principal axis refracts through the lens and passes through the focal point on the opposite side of the lens.

2. The incident ray passing through the focal point refracts and emerges parallel to the principal axis.

3. The incident ray passing through the center of the lens continues undeviated.

The three rules of refraction for converging lenses, also known as convex lenses, are as follows:

1. The incident ray parallel to the principal axis refracts through the lens and passes through the focal point on the opposite side of the lens.

When a ray of light traveling parallel to the principal axis (the horizontal line passing through the center of the lens) enters a converging lens, it refracts and bends toward the principal axis. After refraction, the ray passes through the focal point on the opposite side of the lens. This rule is essential in understanding the behavior of light rays in converging lenses.

2. The incident ray passing through the focal point refracts and emerges parallel to the principal axis.

When a ray of light passes through the focal point before entering the lens, it refracts and emerges parallel to the principal axis. This rule implies that light rays that enter the lens at different angles converge and meet at the focal point on the opposite side.

3. The incident ray passing through the center of the lens continues undeviated.

When a ray of light passes through the center of a lens, it continues in a straight line without deviating from its path. This rule is derived from the fact that the refractive index of the lens material is the same throughout, resulting in no change in the direction of light passing through the center of the lens.

These rules of refraction for converging lenses help in understanding how light rays interact with the lens and how the lens focuses incoming light. By applying these rules, one can predict the behavior of light rays and determine the location and characteristics of images formed by converging lenses.

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Answer:

\(3.3\cdot 10^3\:\mathrm{N}\)

Explanation:

Impulse on an object is given by \(\mathrm{[impulse]}=F\Delta t\).

However, it's also given as change in momentum (impulse-momentum theorem).

Therefore, we can set the change in momentum equal to the former formula for impulse:

\(\Delta p=F\Delta t\).

Momentum is given by \(p=mv\). Because the truck's mass is maintained, only it's velocity is changing. Since the truck is being slowed from 26.0 m/s to 18.0 m/s, it's change in velocity is 8.0 m/s. Therefore, it's change in momentum is:

\(p=2500\cdot 8.0=20,000\:\mathrm{kg\cdot m/s}\).

Now we plug in our values and solve:

\(\Delta p=F\Delta t,\\F=\frac{\Delta p}{\Delta t},\\F=\frac{20,000}{6}=\fbox{$3.3\cdot 10^3\:\mathrm{N}$}\)(two significant figures).

As the distance between the Earth and the Sun decreases, the magnitude of gravitational force between the earth and sun increases and vice versa.

Gravitational force is a force that attracts any two objects with mass.

According to Newton's law of universal gravitation, the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

F = Gm₁m₂/R²

where;

Thus, as the distance between the Earth and the Sun decreases, the magnitude of gravitational force between the earth and sun increases and vice versa.

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Answer:

It is D

Explanation:

The explanation why the marble undergoes oscillatory motion should be option D.

An object should be classified as the motion oscillates related to an equilibrium position because of the restoring force or torque.  This motion should be significant to study various phenomena like electromagnetic waves, molecules. etc. In the case when the gravitational force should be exerted on the marble here the magnitude and the direction should be the same.

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Answer:

convex lens

Explanation:

Time period of a wave is the inverse of its frequency. The period of the wave with a frequency of 2.09 Hz is 0.47 seconds.

Frequency of a wave is the number of wave cycles per unit time. Frequency is the inverse of the time period of the wave. Hence, it has the unit of s⁻¹ which is equivalent to Hz.

The higher frequency of a wave indicates more number of wave cycles in a short time. Frequency is directly proportional to the energy and inversely proportional to the  wavelength.

Given the time period of the wave = 2.09 Hz

then frequency = 1/2.09 Hz = 0.47 s.

Therefore, the time period  of the wave is 0.47 seconds.

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Answer:

B

Explanation:

I'm learning it in science.

Answer:

its not b i just took the test and b was wrong

Explanation:

we know density = mass/ volume

as mass = 0.6 g

and volume = 2cm³

so density = (6/20)(g/cm³)

0.3g/cm³ (ans)

Hope it helps

The pulleys can be attached in such a way that the force required to lift the object will be less, and the direction of the pulley can be shifted systematically.

In the body, force is the result of either a push or a pull. The three main categories of forces are friction, nuclear, and gravitational. For instance, when a hand strikes a wall, the hand puts force on the wall and the wall also exerts a force on the hand. Newton was given a variety of laws to help him understand force.

We can move objects much more easily because of simple machinery called pulleys that can shift the direction of the force. When we employ many pulleys together, they also boost mechanical advantage. By using this method, less force is needed to raise an object.

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Answer:

\(8.1\:\mathrm{Ns}\)

Explanation:

The impulse-momentum theorem gives the impulse on an object to be equal to the change in momentum of that object. Since mass is maintained, the change in momentum of the basketball is:

\(\Delta p = m\Delta v\), where \(m\) is the mass of the basketball and \(\Delta v\) is the change in velocity.

Since the basketball is changing direction, its total change in velocity is:

\(\Delta v = 20-(-15)=35\:\mathrm{m/s}\).

Therefore, the basketball's change in momentum is:

\(\Delta p = m\Delta v = 0.23\cdot 35= 8.05=8.1\:\mathrm{kg\cdot m/s}\).

Thus, the impulse on the basketball is \(\fbox{$8.1\:\mathrm{Ns}$}\) (two significant figures).

Answer:

Below

Explanation:

0-1 sec descends at constant rate from 10 to 6 m

1-2 sec stops at 6m

2-3 sec descends at constant rate to 2 m

3-4 sec stops at 2 m

4-5 sec descends at another constant rate to 0 m

Answer:

Instrmentation engineering

Explanation:

Hope this helps!

148.8 Watts

Explanation:

P = VI

= (12 V)(12.4 A)

= 148.8 Watts

Answer:

20 K

Explanation:

It is given that,

The change in temperature is 20 C.

We need to find the change in thermodynamic temperature.

If teperauture T₁ = 0° C = 0+273 = 273 K

T₂ = 20° C = 20 + 273 = 293 K

The change in temperature,

\(\Delta T=T_2-T_1\\\\=293-273\\\\=20\ K\)

So, the change in temperature of 20°C is equivalent to 20 K.

The change in thermodynamic temperature is equal to 20 Kelvin.

Given the following data:

To determine the change in thermodynamic temperature:

A thermodynamic temperature can be defined as an absolute measure of the average total internal energy possessed by a body or an object. Thus, thermodynamic temperature is typically measured in Kelvin (K).

Mathematically, the change in temperature of an object is given by the formula:

\(\theta = T_f - T_i\)

Where:

Next, we would convert the values in degree Celsius to Kelvin:

Conversion:

0°C = 273 K

20°C = 273 + 20 = 293 K

For the change in thermodynamic temperature:

\(\theta = 293 - 273\\\\\theta =20\;K\)

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Because their atoms form a matrix that outside electrons can easily travel through, metals make good electrical and thermal conductors.

Metals have a low electronegativity, or attraction to electrons, thus their valence electrons can flow freely in this manner.

Since their atoms form a matrix that outside electrons can easily travel through, metals make good electrical and thermal conductors.

While non-metals' electrons are "bound," or unable to move freely, metals contain free electrons that can easily flow from one atom to another.

A metal is a substance that, when freshly prepared, polished, or broken, exhibits a brilliant look and conducts electricity and heat quite well (from the Greek word métallon, "mine, quarry, metal"). Typically, metals are malleable and ductile (can be drawn into wires) (they can be hammered into thin sheets). These characteristics are the outcome of the metallic link that exists between the metal's atoms or molecules.

A metal can be a chemical element like iron, an alloy like stainless steel, a molecular complex like polymeric sulphur nitride, or any combination of these.

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