After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.

The power that firefighter needed to reach the top of the building in 55s is equal to  463.3 Watts.

Power can be described as the rate of doing work and is also defined as the work done in unit time. The S.I. unit of power is Joule/second or Watt (W). The mathematical expression for power is mentioned below.

Power = work/ time

P = W/ t

Given, the height of the building, h = 20 m

The total mass of the firefighter and backpack, m =  85 + 45 = 130 Kg

The time taken to reach the top, t = 55 sec

The power that will be needed can be determined as:

[tex]{\displaystyle {P = \frac{m\times g\times h}{t}[/tex]

[tex]{\displaystyle {P = \frac{130\times 9.8\times 20}{55}[/tex]

P = 463.3 Watt

Therefore, with the power of 463.3 Watts, a firefighter will reach the top in 55s.

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The helium-stuffed ball is surely transferring against the direction of what looks like gravity.

The equal thing that it does while you're not in an accelerating body. It does that for the equal motive: buoyancy because of being lighter than air. The air inside the vehicle has a higher density inside the back of the car than it does inside the front. this means that the net pressure on the balloon due to collisions with the air will be in the ahead path.

The balloon does the other to something your body could do. for that reason, if the car comes to rest the balloon moves toward the return. The secret is that the balloon is filled with helium (He) and you are made of stuff a great deal heavier than air.

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The car travels a distance of 50ft before stopping, at a rate of 40 ft/sec when the brakes are applied. the car deceleration at a constant rate of 16 ft/sec^2.

Given , Initial speed of the coz ( Vo ) = 40 ft/ sec

Deceleration of the car (dv/dt ) = - 16 Ft/ sec^2

Final speed of the car (Vx ) = 0 Ft / sec

Let the distance travelled by the can be x at

any time t. Let u be the velocity at any time t .

Now , deceleration means rate of decrease of velocity.

So ,

dv/dt = - 16 ft / sec^2

decreasing with

Negative sign means the velocity is decreasing with time .

dv/dt = dv/dx(dx/dt)

dv/dx(dx/dt) = -16

dx/dt = v, so

v dv/dx = -16

vdv = -16 dx

Integrating both sides under the limit 40 to o

0 to x for 'x '. This gives

[tex]\int\limits^0_ a {v} \, dx = \int\limits^0_x {-16} \, dx[/tex]

Here, a=40

x=800/16

x=50ft.

The car travels a distance of 50ft

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Acceleration : a. F=ma, mg cos(90°-θ)= ma, g cos (90°-θ)= a, g sin(θ) = a, g sin(30°)= a

b. v= u+(a*t), u=0, v= (a*t), v= ( g sin(30°) * 15 ).

What is Acceleration?

If an object's velocity changes, it is said to have been accelerated. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.

Therefore, the acceleration and velocity are solve.
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An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be 5.62 [tex]m/s^{2}[/tex]

force 1 = mass1 * acceleration 1

force 1 = mass1 * 8  

f1 = m1 * 8

force 2 = mass 2 * acceleration 2

force1 / 3.7  = (mass 1 / 2.6) * acceleration 2

f1 / 3.7 = (m1 / 2.6) * a2  

( m1 * 8 ) / 3.7 = (m1 / 2.6) * a2

a2 = 5.62 [tex]m/s^{2}[/tex]

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Answer:

100

Explanation:

Robin started at point a. she walked 4m south, then 8m east, then 4m north, then 8m west so that she was back at point a. if her walk took 5 minutes her velocity in meters per minute is 0.96.

Displacement = distance / time = 24m/5 = 4.8

Velocity = displacement / Time = 4.8/5 = 0.96m/min

Its scientific definition and velocity are presumably similar. You are aware that a significant displacement over a short period of time indicates a large velocity, and that velocity has measures of distance / time, like miles/hour or kilometers/hour.

The change in position divided by the distance travelled is the definition of average velocity. However, the average speed of an object tells us nothing about what happens to it between the starting and finishing points. For instance, average velocity does not allow us to determine whether a passenger in an airplane briefly stops or reverses before relocating to the rear of the aircraft. We must consider shorter distances travelled over shorter times in order to obtain more information.

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The kinetic energy of the car in kilojoules is 447 KJ.

The kinetic energy of the car is, E = 1/2 m[tex]v^{2}[/tex]

The velocity of the car is,  v = v (1000m/3600s)

V = 23.5 m/s

The kinetic energy of the car in joules is,

E = 1/2m[tex]v^{2}[/tex]

E = 1/2 (1621)(23.5)

E = 447KJ

An object's kinetic energy is the power it draws from movement. It is described as the amount of effort required to accelerate a body of a specific mass from rest to its specified velocity. The body keeps its kinetic energy after gaining it during acceleration, barring changes in speed. When slowing down from its current pace to a condition of rest, the body expends the same amount of energy. Any term in a system's Lagrangiam that has a derivative with respect to time is formally referred to as having kinetic energy.

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The smaller pebble leaves the slingshot with a speed of 500 m/s.The mass of the larger pebble 25 times more mass compare to that of the smaller pebble.

In Both the cases work done by the elastic band is same i.e

WLarger  = WSmaller

(1/2)MLargerVLarger2 = (1/2)MSmallerVSmaller2

MLarger/MSmaller = (VSmaller/VLarger)2

MLarger/MSmaller =(500/100)2 =25

Teenagers, young adults, and others utilise various stimulant medications collectively referred to as "speed" to feel more focused and alert, and occasionally to get euphoric. Additionally, some people take various forms of speed to suppress their appetite. You lack brute force, intimidation, and might without speed. Simply for show and to assist friends who are moving large pieces of furniture, they are useless. The good news is that speed can be improved with the right physical preparation. The velocity of a body or object determines the direction of its motion. Speed is often measured as a scalar value. The most basic definition of a vector quantity is velocity. It gauges the rate at which a distance varies. It relates to the speed at which displacement is altering. Its velocity is the speed at which something is travelling in a particular direction.

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The T.A.R.D.I.S. travels 5026.6 m while slowing down.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second

Initial speed of the Doctor; u = 406.36 m/s .

Final speed of the Doctor; v = 1035.99 m/s.

Time taken =  6.97 s.

So, average speed = ( initial speed + final speed)/2

= (406.36 + 1035.99)/2 m/s.

= 721.175 m/s.

Hence,  the T.A.R.D.I.S. travels while slowing down = average  speed × time

= 721.175 m/s × 6.97 s.

= 5026.6 m.

Hence,  the T.A.R.D.I.S. travels 5026.6 m while slowing down.

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Force is to be known for this problem.

What is force?

In physics, force is the push or pull that an object feels when its mass causes it to change its velocity. An external force has the ability to change a body's resting or moving state. It moves and has a size.

What constitutes speed?

the speed at which the position of an object is shifting, in any direction. Speed is defined as the product of the distance traveled and the time needed to cover that distance. Since speed simply has a focus and no magnitude, it is a scalar number.

2T cos∅ =μg

⇒ if weight (μg)

rises

⇒∅ increases

⇒ cos∅ decreases

⇒T increases

⇒F will also increases

But ∴ Cos 90° = u

⇒ not possible.

Therefore, the force is to be needed.

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The answer is 82.32N

The difference in the tension between the lowest and highest points on the circle is solved here below.

A 1,400 kg airplane encounters a 200 newton headwind that slows it down. if the airplane was originally traveling 230 m/s .  It take 12 minutes for the headwind to slow the airplane to 120 m/s

Force = mass * acceleration

- 200 N = 1400 * ( change in speed / time interval )

- 200= 1400 * (120 - 230 / time )

-200 = 1400 * ( -110 / time )

time = 770 seconds = 12 minutes

It take 12 minutes for the headwind to slow the airplane to 120 m/s

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Answer:

1.785  m

Explanation:

Without the worker the scaffolding produces 300N tension in each rope

  if worker is in the middle, each rope will support 1/2 of worker's weight (325 N)    for a total of 625 N <==== so worker will be pretty close to middle for tension of 660 N

 Need 360 N   in addition to 300N board

       360 * x   =  290 ( 4-x)    

           x = 1.785 meters from an end

    Well ....that is kinda the 'intuitive approach'.....maybe this way will be more clear:

The moments around one end have to be = 0 or the plank will move

  from the left end moments:

        600 ( 2.000) + 650 ( x)  = 660 (4.000)

            x = 2.215 m from left end    or    1.785 m from R end  (that has the 660 N tension)

According to Newton’s first law of motion, we reasonably expect a stationary object will remain at rest or a moving object will have a uniform motion (have constant velocity) in a straight line.

Newton's first law of motion states, if there are no actions of an external force or forces, that are balanced, every object will remain at rest or in uniform motion in a straight line path. The formula ∑F = 0 with ∑F the external forces.

This law call law of inertia. Example

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Using Ohm's Law and the power formula, V² / R is derived.

Simple harmonic motion is a particular kind of periodic motion in which the restoring force on the moving item is directly proportionate to the size of the displacement and acts in the direction of the object's equilibrium position. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.

Power(P) = Potential difference (V) × Current (I)

So

Now by ohm's law

I =V/R

On substituting the value of current in the equation

P=VI

We get

P= V × V/R

P=V² / R

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Explanation

a) The velocity will never be zero. The velocity at the highest point of the projectile will be the smallest, equal to the horizontal component of the initial velocity.

b) The velocity will be zero when the kinetic energy is zero. When kinetic energy is at its lowest, potential energy is at its highest. Because potential energy is greatest at the highest point, velocity is greatest at the highest point.

c) Because a constant force of gravity acts on the projectile at all times, velocity will never be the same as initial velocity.

d) When the bullet bounces back and strikes the ground, the speed equals the initial speed (at t = 0), because the height is zero and the kinetic energy is equal to the initial energy.

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Using the supposition that there is no friction and disregarding air resistance, the speed of the cart at the bottom of the hill is 24.6ms.

Small bumps collide with one another as surfaces move over one another. Friction acts as a resisting force on the surface's motion. Friction can be reduced by lubricants.

The friction caused by a moving item is inversely propotional and runs perpendicular to it. The type of surface the thing is in touch with determines the amount of friction it experiences. As long as there is a point of contact, friction remains independent of a area of contact.

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If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).

Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.

Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.

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To the left. When a force is applied to stop it from moving, frictional force provides resistance.It always moves in the opposite direction of an item in motion

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Astronomers can study how clusters of stars and gas move around the galactic center in nearby galaxies and use those movements to calculate the mass of the central black hole.

By monitoring the star motions in the galaxy's center, Webb will calculate the black hole's mass. Astronomers will calculate the mass of that black hole using NASA's James Webb Space Telescope. The outcome may appear to be unimportant, but a black hole's mass controls how it feeds and interacts with its surroundings.

Black holes are discovered when nearby material, such as gas, is pulled by gravity into a disk around the black hole. The gas molecules in the disk of the black hole are spinning so quickly that they heat up and release X-rays. From Earth, one can observe these X-rays.

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an advantage that liquid water has as a biological solvent compared to other alternatives IS, when it freezes it becomes less dense. it is a liquid over a wide temperature range and remains liquid at higher temperatures. It is able to dissolve many things

A solvent is a molecule that has the ability to dissolve other molecules, known as solutes. A solvent can be solid, liquid or gas. The molecules of the solvent work to put the solute molecules apart. Eventually, the molecules of solute become evenly distributed in throughout the solvent. This homogenous mixture is perfectly even, and cannot be separated physically. Heat or another chemical process must be applied to the solution to separate the solvent and solute.

Molecules in general have two classes, polar and nonpolar. Polar molecules have separated electrical charges on different sides of the molecule. Nonpolar molecules, while they can fluctuate in charge, do not carry a static charge. Both es of molecules can act as solvents, as described below.

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One watermelon cracked on the pavement while the other one is intact when dropped on the grass lawn because of the momentum transfer.

A wave contains momentum and could be a vectorial amount. The contrast between the momentum of the scattered wave to the occurrence wave is called momentum transfer.

In Newtonian mechanics, energy (more particularly straight energy or translational momentum) is the item of the mass and speed of a question.

It may be a vector amount, having a size and a course. If m is an object's mass and v is its speed (moreover a vector amount).

In the Universal Framework of Units (SI), the unit of estimation of energy is the kilogram meter per moment (kg⋅m/s), which is identical to the newton-second.

When an object hits the ground, the energy exchanged from the protest to the ground indeed is its momentum transfer.

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The constant force applied parallel to the plane required to cause a 15kg box to line up is 127.31 N.

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

mass =15 kg

Normal force = mgCos30°

parallel force = mgsin30°

acceleration required = 1.2 m/s²

Contact force = 15 × 9.8 × √3/2

                      = 127.31 N

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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The final gravitational force at the surface of the star is 49 times of the initial gravitational force.

The attraction that exists between all masses in the universe, particularly between the mass of the earth and objects that are close to its surface.

Use Newton's gravitational law to find the gravitational force at the surface of a star if the star contracted to one fifth of its previous diameter as follows.

Newton's gravitational law states that the gravitational force between two objects is inversely proportional to the square of their distance and directly proportional to the product of their masses.

[tex]F_g}[/tex] =GMm/r²

In this case, the two objects' masses are M and m, G is the gravitational constant, and r is their separation from one another.

Since mass is constant, the gravitational force at the surface of a star before contraction is,

F₁ =GMm/r₁²

Here, r₁ is initial diameter of the star.

The gravitational force at the surface of a star after the contraction is,

F₂ =GMm/r₂²

Here, r₂ is final diameter of the star.

Compare the equations, we get

F₂/F₁= GMm/r₂²/GMm/r₁²

F₂/F₁=(r₁/r₂)²

F₂ = F₁(r₁/r₂)²

Substitute r₁/7 for r₂ in equation and solve for final gravitational force on the star.

F₂ = F₁(r₁/r₁/7)²

F₂= 49F₁

Therefore, the final gravitational force at the surface of the star is 49 times of the initial gravitational force.

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Electromagnetic radiation consists of particles called photons, which exhibit both wavelike and particle-like behavior. The greater the momentum of a photon, the longer its wavelength.

Electromagnetic radiation (or EM radiation) is energy that is transmitted through oscillating electric and magnetic fields at the speed of light. Electromagnetic radiation contains neither mass nor charge, but it travels in packets of radiant energy called photons. Electromagnetic waves carry energy and transfer it upon interaction with matter.

Electromagnetic radiation can take many forms, such as microwaves, infrared light, visible light, UV light, X-rays and the like.

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The gravitational force between the asteroids with masses 3. 71 x 10^5 kg and 1. 88 x 10^4 kg are separated by a distance of 1,300 m is 27.5 * 10^-8 N

F = G m1 m2 / r²

F = Gravitational force

m1 , m2 = Masses

r = Distance between m1 and m2

m1 = 3.71 * 10^5 kg

m2 = 1.88 * 10^4 kg

r = 1300 m

G = 6.67 * 10^-11 N m² / kg²

F = 6.67 * 10^-11 * 3.71 * 10^5 * 1.88 * 10^4 / 1300²

F = 46.52 * 10^-2 / 169 * 10^4

F = 27.5 * 10^-8 N

According to Newton's law of gravitation, any matter in the universe attracts another matter with a force. This force of attraction is directly proportional to the product of their masses and inversely proportional to the square of distance between them.

Therefore, the gravitational force between the asteroids is 27.5 * 10^-8 N

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magnetic field caused by the combination of wires to cancel out, the current will flow in a direction . The current will therefore move in the other direction,. The outside wire is experiencing a 15.83 A current.

The electric current formula, I=V/R, can be used to determine how much current is flowing. The "current equation," as it is commonly known, is derived from Ohm's Law. The variable "I" denotes current, "V" denotes voltage, and "R" denotes resistance.

Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. A positive terminal receives normal current, which then travels to a negative terminal.

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Mv is equal to m - 2.5 log(d/10)2. There is a minus sign in the expression because stars distant than 10 pc have Mv that is more negative than m. Make careful you provide the star's given distance in parsecs (1 pc = 3.26 ly = 206265 AU) if you use this formula.

The moon can appear to be nearly -13 magnitude bright, the moon can appear to be -6 magnitude bright, and stars can get as bright as nearly -1.5 magnitude.

The star's actual magnitude is determined by subtracting its apparent magnitude by five times the trigonometric parallax of its distance from the star.

First-magnitude stars have apparent magnitudes less than +1.50, making them the brightest stars in the night sky. In the first century B.C., Hipparchus invented the magnitude scale. He assigned first magnitude to the 20 brightest stars and sixth magnitude to the stars that are faint enough to be seen with the unaided eye.

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