Example2: A stone is pushed from the roof of a 60-m tall tower. Its
initial velocity towards the ground was 5m. What is the
S
stone's position from the ground after:
a) .5 seconds
b) 1.0 seconds
c) 1.5 seconds
d) 2.0 seconds?

Example2: A Stone Is Pushed From The Roof Of A 60-m Tall Tower. Itsinitial Velocity Towards The Ground

Answers

Answer 1

stone's position from the ground after:

a) .5 seconds is 56.275 m.

b) 1.0 seconds is  50.1 m.

c) 1.5 seconds is 45.475 m.

d) 2.0 seconds is 30.4 m.

Given parameters:

Height of the tower; h₀ = 60 m.

Initial velocity, u = 5 m/s.

We know that,

acceleration due to gravity, g = 9.8 m/s².

applied formula is :

h = h₀ - ( ut + 1/2gt²)

a)So, stone's position from the ground after:

.5 seconds:

h = h₀ - ( ut + 1/2gt²)

= 60m - ( 5*0.5 + 1/2*9.8*0.5²) m

= 56.275 m.

b)So, stone's position from the ground after:

1.0 seconds:

h = h₀ - ( ut + 1/2gt²)

= 60m - ( 5*1.0 + 1/2*9.8*1.0²) m

= 50.1 m.

c)So, stone's position from the ground after:

1.5 seconds:

h = h₀ - ( ut + 1/2gt²)

= 60m - ( 5*1.5 + 1/2*9.8*1.5²) m

= 45.475 m.

d)So, stone's position from the ground after:

2.0 seconds:

h = h₀ - ( ut + 1/2gt²)

= 60m - ( 5*2.0 + 1/2*9.8*2.0²) m

= 30.4 m.

Hence, different position of the stone in different time is calculated.

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Related Questions

how to get to meausre density, volume or mass

Answers

Density offers a convenient means of obtaining the mass of a body from its volume or vice versa; the mass is equal to the volume multiplied by the density (M = Vd), while the volume is equal to the mass divided by the density (V = M/d).
Well to find density of an solid object, you must use the formula density=mass/volume and if u want to find the volume

Student 1 claims that energy can only be transferred by particles inside a medium. Student 2 does not agree with Student 1. Which statement should Student 2 use as evidence that Student 1 is INCORRECT? A. Light energy can travel without a medium. B. Sound energy can travel without a medium. C. All types of energy can travel without a medium. D. Mechanical energy can travel without a medium.​

Answers

Among the incorrect assertions are B. Sound waves can travel by themselves. C. Energy of all kinds can move without a medium. D. Mechanical energy is not dependent on a medium to move (B,C and D).

What causes energy to flow through a medium?

Energy is transferred via the vibrations of the electric and magnetic fields in electromagnetic waves. When a sound wave travels through air or a solid medium, air or solid particle vibrations are used to transfer energy. The vibration of the water molecules in water waves transfers energy.

A medium is necessary for mechanical waves to transfer their energy from one place to another. An illustration of a mechanical wave is sound.

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Stuart is listing the changes to matter and energy that occur during the process of photosynthesis. Which of these examples should he include in his list?.

Answers

The energy that occur during the process of photosynthesis that changes to convert light energy into chemical energy stored in carbohydrates.

What is meant by photosynthesis?

Photosynthesis occurs in plants that have chlorophyll and converts the solar energy absorbed into the chemical fuel required for energy generation.

Photosynthesis is primarily responsible for producing and sustaining the oxygen content of the Earth's atmosphere, as well as providing the majority of the energy required for life on Earth.

Plant leaves absorb sunlight and convert it into glucose and oxygen with the help of water and carbon dioxide.

Carbohydrates are broken down and undergo chemical changes in the presence of sun radiation, resulting in sustenance.

As a result, light energy is converted into chemical power during photosynthesis.

The plants convert the sunlight into glucose and oxygen with the help of water and carbon dioxide.

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the sides of a yield sign all have the same length (see figure). the perimeter of a roadway yield sign is 219 centimeters. find the length of each side.

Answers

A roadway yield sign's exterior measurement is 219 centimeters. Consequently, the yield sign is 73 centimeters long on each side.

The perimeter of a given figure is equal to the total length of its sides.

Given that a yield sign's sides are uniform in length As a result, if the yield sign's perimeter is determined, it will be,

The yield sign's perimeter equals x + x + x.

Sphere = 3x

Therefore, if the circumference of a roadway yield sign is 219 centimeters, we can rewrite the circumference as,

Perimeter = 3x

219 centimeter = 3x

x = 219 centimeter / 3

x = 73 centimeter

Consequently, the yield sign is 73 centimeters long on each side.

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How long has Pripyat been unoccupied?

Answers

The numbers of years that Pripyat been unoccupied is 36 years.

Why was Pripyat left behind?

"The Chernobyl tragedy damaged the ecology irreparably, and the effects will continue for thousands of years." Due to excessive radiation levels, the area was evacuated, and Pripyat, a once-vibrant city of 50,000 people that included many nuclear plant workers, was left in ruins. Its urban landscape become covered with trees and vines over time.

Therefore, According to experts, the region won't be secure for at least 3,000 years; nevertheless, other people think this estimate is overly optimistic. A 2016 research states that it is anticipated that the reactor site won't be livable for at least 20,000 years.

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Many scientists suspect that Venus has a stronger and thicker lithosphere than Earth. If this is true, which of the following could explain it?

A. The high surface temperature that has "baked out" all the liquid water from Venus's crust and mantle.

B. The slow rotation of Venus.

C. The smaller size of Venus, which has allowed it to lose much more internal heat than Earth.

D. The apparent lack of plate tectonics on Venus.

Answers

Many scientists suspect that Venus has a stronger and thicker lithosphere than Earth. Option A. The high surface temperature "baked out" all the liquid water from Venus's crust and mantle which could explain this.

The crust of Venus appears to be almost entirely volcanic and basaltic. there is not anything there like Earth's continents—no granitic rocks in any respect, high in silicon and oxygen.

Venus's crust appears to be 70 kilometers (43 mi) thick and composed of silicate rocks. Venus's mantle is approximately 2,840 kilometers (1,760 mi) thick, its chemical composition might be similar to that of chondrites. Venus' floor isn't an unmarried, solid “lithosphere”, as as soon thought, however, it is a patchwork of tectonic plates with a similar pastime to – but not the same as – the ones here on this planet

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you place a 7/50 kg television set on a spring scale. if the scale reads 78.4 n, what is the acceleration due to gravity at that location?

Answers

The acceleration due to gravity is 9.8 m/s^2.

What is gravity?
In mechanics, gravity—also known as gravitation—is the constant force of attraction that pulls all matter together. It has no impact on determining the internal characteristics of common matter because it is by far the weakest known force in nature. In contrast, it governs the structures as well as evolution of stars, galaxies, as well as the entire cosmos through its extensive and universal action, which affects the trajectories of objects in the solar system and throughout the universe. All objects on Earth have a weight, or a gravitational pull downward, proportional to their mass, which is a result of the mass of the planet. The acceleration that gravity gives to objects falling freely serves as a gauge of its strength. The acceleration of gravity at Earth's surface is approximately 9.8 metres (32 feet) per second for every second.

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each of the four drawings shows the same three concentric loops of wire. the currents in the loops have the same magnitude i and have the directions shown. rank the magnitude of the net magnetic field produced at the center of each of the four drawings, largest to smallest.

Answers

The magnetic area is parallel to the direction of the contemporary within the twine. electric costs produce electric-powered fields and magnets produce magnetic fields.

A magnetic discipline is a vector discipline that describes the magnetic impact on moving electric expenses, electric-powered currents, and magnetic materials. A moving fee in a magnetic subject reviews a force perpendicular to its own velocity and to the magnetic field.

The magnetic area is the area round a magnet that has magnetic pressure. All magnets have north and south poles. contrary poles are attracted to every different, even as the identical poles repel each different. when you rub a bit of iron along a magnet, the north-looking for poles of the atoms inside the iron line up in the equal path.

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Disclaimer:- your question is incomplete, please see below for the complete question.

Each of the four drawings shows the same three concentric loops of wire. the currents in the loops have the same magnitude i and have the directions shown. rank the magnitude of the net magnetic field produced at the center of each of the four drawings, largest to smallest.

The relative ability of a bonded atom to attract shared electron pairs is called its _____. This ability _____ as the size of the atom decreases because for a smaller atom the shared electrons will be closer to the nucleus.

Answers

The relative ability of a bonded atom to attract shared electron pairs is called its electronegativity. This ability increases as the size of the atom decreases because for a smaller atom the shared electrons will be closer to the nucleus.

A covalent bond consists of the mutual sharing of one or more pairs of electrons between two atoms. These electrons are simultaneously attracted by the two atomic nuclei.

Electronegativity is defined as the ability of an atom in a molecule to attract electrons to itself. The concept of an electronegativity scale for the elements was proposed by Pauling.

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George has a mass of 65kg. What would george weigh on the moon? (the gravitational field strength on the moon is 1. 6n/kg. ).

Answers

George's weight on the moon is  104 N.

A gravitational field is a version used to give an explanation for the influence that a huge body extends into the gap around itself, producing a force on another huge frame. thus, a gravitational subject is used to provide an explanation for gravitational phenomena and is measured in newtons in step with kilogram.

That is a manner of measuring how a good deal of gravity there is. The method is weight/mass = gravitational discipline strength. on earth, the gravitational area energy is 10 N/kg.

Calculation:-

Given,

George's mass = 65kg

Gravitational field strength on the moon = 1. 6  N/kg

Then, the weight of George on the Moon = Mass x Gravitational field strength

                                                              = 65  x  1.6

                                                              = 104 N

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consider the three resistors and the battery in the circuit shown. which resistors, if any, are connected in series? g

Answers

No resistors are connected in series.

A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance.

A resistor is an electrical component that controls or restricts how much electrical current can pass across a circuit in an electronic device. Additionally, resistors can be used to supply a particular voltage to an active device like a transistor.

A passive electrical component called a resistor prevents the flow of electric current by introducing resistance. They are present in practically all electrical networks and electronic circuits. Ohms are used to measuring resistance.

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Use the image of chlorophyll to answer the question.
How are carbon atoms represented in this image?

a.) white circles

b.) red circles

c.) blue circles

d.) dark grey circles

Answers

The carbon atoms in this image are shown as white circles. It has 55 carbon atoms coupled to 72 hydrogen atoms, 5 oxygen atoms, 1 magnesium atom, and differently substituted porphyrin rings with magnesium.

The phytol chain, a long carbon-hydrogen side chain, connects the ring to the porphyrin ring, a nitrogen-containing structure that surrounds the central magnesium atom in the chlorophyll molecule. Chlorophyll is the primary pigment used by plants to absorb light energy. A chlorophyll molecule has a porphyrin head and a long hydrocarbon tail.

Chlorophyll comes in four different varieties: chlorophyll a, which is present in all higher plants, algae, and cyanobacteria; chlorophyll b, which is present in higher plants and green algae; chlorophyll c, which is present in diatoms, dinoflagellates, and brown algae; and chlorophyll d, which is only present in red algae.

Thus, we might conclude that the white circles in this figure represent the carbon atoms.

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suppose you dropped a rock from a bridge into a valley below. earth pulls on the rock and it accelerated downward. according to newton's third law, the rock must also be pulling on earth, yet we don't notice the earth acceleration upward. explain.

Answers

We don't notice the earth acceleration upwarde because of its massive size, the earth is at rest

State Newton's third law of motion?

Newton's Third Law can be described as the Action & Reaction law.According to his third law, there is an equal and opposite reaction to every force (activity) in nature.If object A applies a force to object B, object B will respond with an equal and opposing force.

The stone also pulls on the Earth in an equal measure, but the acceleration caused by that force on the Earth is minimal. Given that the mass of the Earth is 6.4 × 10^24 kg, the accelerations brought about by the stone's force acting on the Earth will be of the order of 10^–24, or essentially nothing.

Hence, because of its massive size, the earth is at rest.

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a parachute slows down the speed of a skydiver. What does the parachute do?

Answers

Answer:

BELOW

Explanation:

Basically it adds AIR FRICTION.

When placing cold water into a hot pot to boil what happens to the energy to the cold water as it starts to boil?
Since heat flows from the hot pot to the cold water, the total energy of the cold water will decrease.
Since heat flows from the hot pot to the cold water, the total energy of the cold water will increase.
Since heat flows from the cold water to the hot pot, the total energy of the cold water will increase.
Since heat flows from the cold water to the hot pot, the total energy of the cold water will decrease.

Answers

Answer:Since heat flows from the cold water to the hot pot, the total energy of the cold water will decrease

Explanation:

Answer:Since heat flows from the hot pot to the cold water, the total energy of the cold water will increase. 

Explanation:

When the index card is quickly pulled away from the glass in a horizontal direction, why does the disk fall straight down into the glass?
a. kinetic friction
b. inertia
c. static friction
d. equilibrium

Answers

The disk falls straight down into the glass due to inertia. Therefore, option (B) is correct.

What is the Law of Inertia?

The Law of inertia can be described as an object will continue to be in a state of rest or in motion unless an external force applies to it. All objects will come to rest and moving objects will continue to move in the absence of external power.

When the resistance is given by the body to continue to be in motion until an external force applies to it. Inertia s the reason the body to continue the motion in the same direction in the absence of external force. Inertia depends on density and mass, not on velocity.

When the index card is quickly pulled from the glass in a horizontal direction, the disk falls straight down into the glass as the disk tries to stay at rest due to inertia.

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What is the net force in this image?

Answers

The net force is D: 0N

An object of mass 10 kg is placed on a frictionless
incline of 25°. Deduce how many seconds it would
take to travel down a 5.0 m incline from rest.

Answers

Initial velocity = 0 m/s

Displacement = 5 m

Acceleration = 10cos25° = 9.06 m/s^2

time = ? (To be calculated)

Using, S = ut + at^2/2, we have

5 = 0(t)+9.06t^2/2

10/9.06 = t^2

t = 1.006 seconds

What is the net force in this image?

Answers

Net force on the image is 0 Newton.

What is force?

A force is an effect that can alter an object's motion according to physics. 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.

Net upward force is balanced by net downward force so net force is zero.

Net force on the image is 0 Newton.

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Brandon the child skater is propelled by a power rocket. Brandon and the rocket together have a mass of 25 kg. When
the thrusting force is 100 N and friction is 20 N. (a) what will be Brandon's acceleration? (b) How far will he go in 5 s if he
starts from rest?

Answers

The acceleration of the skater is 3.2 m/s^2 while the distance covered is 40 m

What is friction?

The term friction has to do with the force that opposes motion. We know that the net force would be the difference between the thrust force and the frictional force since they act in opposite directions.

Now;

ma = 100 N - 20 N

The m is the mass of the object and the a is the acceleration of the skater.

25a = 100 N - 20 N

a = 100 N - 20 N/25

a = 3.2 m/s^2

Now;

s = ut + 1/2at^2

If u = 0 m/s (started from rest)

s = 1/2at^2

s = 0.5 * 3.2 * (5)^2

s = 40 m

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A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters.

Answers

50 metres away from the observer, a balloon begins to rise at a rate of 4 metres per second. When the balloon is 50 metres above the ground, determining how quickly the angle of elevation between the observer and the balloon changes.

Let h be the height of the balloon above the ground and represent the angle of elevation.

tanθ= h/50
provided that a balloon's height is 50 metres
tanθ =50/50
tanθ=1
θ=45o
tanθ= h/50
differentiating in light of time t
(1/50)dh/dt sec2 d/dt
Given that the balloon rises at a rate of 4 metres per second, we obtain 45o, therefore dh/dt = 4 m/s.
sec245o d=1/50*4 dt
2*dθ/dt= (1/50)*4
dθ/dt= (1/50)*4/2
dθ/dt= 1/25
0.04 rad/sec for d/dt.

When the balloon is 50 metres above the ground, the angle of elevation of the balloon is changing at a rate of 0.04 rad/sec from the observer.

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Which ituation with or without friction i more imilar to your everyday experience on a kateboard or bicycle?

Answers

Skateboarders move more quickly and more slowly depending on the gravitational field around them.

Skateboarders go more slowly and more quickly depending on the amount of friction they encounter. The skater initially has no kinetic energy, only potential energy. The skater had used all of the energy that she will ever have. Since the track is frictionless, no energy is converted to thermal energy throughout the route from point A to point B. The skater has greater potential energy the higher he is. His kinetic energy increases and his potential energy falls as his height decreases. Ice skating is a good illustration of sliding friction.

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An electric battery provides a current
☐ Alternative
☐ Synchronous
☐ Continuous
☐ Pulsed

Answers

Answer:

An electric battery provides a current.. answer is continuous

24.11 a capacitor is made from parallel plates with a plate area of .0178 m2 . the plates are placed 0.35 mm apart and filled with a dielectric material. if the capacitance of the capacitor is 1.44 x 10-9 f, what is the dielectric constant of the material?

Answers

Using the buildup of electric charges on two neighbouring surfaces that are electrically insulated from one another, a capacitor is a device that stores electrical energy in an electric field. It is an electrical passive component with two terminals. Capacitance is the measurement of a capacitor's effect.

C = ∈oA / d = (8.85 * 10⁻¹² * 0.0178) / (0.35 * 10⁻³)

                  = 4.5 * 10⁻¹⁰ F

Q = C*V = (4.5 * 10⁻¹⁰ * 27)

            = 1.215 * 10⁻⁸ C

E = V / d = 27 / (0.35 * 10⁻³)

              = 7.71 * 10⁴ N/C

An electrical energy storage device called a capacitor is made up of two conductors that are situated close to and insulated from one another. A parallel-plate capacitor serves as an easy-to-understand illustration of one such storage device.

In contrast to a battery, a capacitor is a part of a circuit that uses a potential difference created by charged particles distributed between (typically two) plates to temporarily store electrical energy. A capacitor may charge more quickly than a battery and can quickly release all of its stored energy.

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velma's rocket ship is moving away from mort at a speed of 0.75c. mort fires a laser beam toward her spaceship, observing the tip of the laser beam to move away from him at speed c, according to the predictions of einstein's relativity, velma should observe this laser beam to move past her at a speed of

Answers

When Velma’s rocket is moving with 0.75c speed and observing the tip of the laser beam to move away from him at speed c, then Velma should observe this laser beam to move past her at a speed of 0.25C.

What is a Rocket?

A rocket is a vehicle that accelerates without using the air around it by using jet propulsion. A rocket engine's reaction to high-speed exhaust is what gives it power. A rocket can fly in the vacuum of space because its engines are totally powered by fuel carried inside the craft.

What is a laser beam?

A laser is a device that produces light using an optical amplification technique based on the electromagnetic radiation's stimulated emission.

According to the predictions of Einstein's relativity  time dilates in a gravitational field which results in the above outcome.

Hence, when Velma’s rocket is moving with 0.75c speed and observing the tip of the laser beam to move away from him at speed c, then Velma should observe this laser beam to move past her at a speed of 0.25C

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a steel cable supports an actor as he swings onto the stage. the weight of the actor stretches the steel cable. to describe the relationship between stress and strain for the steel cable, you would use

Answers

A steel cable supports an actor as he swings onto the stage, the weight of the actor stretches the steel cable, to describe the relationship between stress and strain for the steel cable, you would use Young's modulus. Correct answer: letter B.

Young's modulus is used in this statement because it is a measure of the stiffness of a material. The steel cable is stretched by the actor's weight, and the amount of stretch is related to the tension in the cable and the Young's modulus of the steel.

Which is Young's modulus?

Is a measure of the stiffness of a material. It is defined as the ratio of the stress to the strain, and it is a measure of the ability of a material to resist deformation under load.

Therefore, when an actor's weight stretches a steel cable, the cable experiences tension. The amount of stress experienced by the steel cable is directly proportional to the amount of strain experienced by the steel cable. This relationship is described by Young's modulus.

A steel cable supports an actor as he swings onto the stage. The weight of the actor stretches the steel cable. To describe the relationship between stress and strain for the steel cable, you would use?

Group of answer choices:

a) both shear modulus and bulk modulus.

b) Young's modulus

c) bulk modulus.

d) shear modulus

e) both Young's modulus and bulk modulus.

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a spotlight on the ground shines on a wall m away. if a man m tall walks from the spotlight toward the building at a speed of , how fast is the length of his shadow on the building decreasing when he is m from the building?

Answers

The shadow is decreasing at the rate 0.9375 m/s if wall 12m away and man 2m and speed 2.5 m/s and shadow is 4m.

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= dx/dt=2.5m/s

ΔABD=ΔECD

therefore, AB/EC=BD/CD

y/2=12/x

xy=24

differentiate w.r.t t

xdx/dt+ydx/dt=0

xdy/dt=-ydx/dt

dy/dt = - y/x dx/dt

dy/dt=-3/8*2.5=-0.9375 m/s

length of shadow is decreasing at the rate of 0.9375 m /s

Therefore,

Speed is a term used to describe an object's magnitude of velocity. Kinematics typically examines speed. Dispatching, expedition, haste, and hurry are some frequent synonyms for speed. In spite of the fact that all of these words refer to "quickness in movement or action," the word "speed" suggests quick efficiency in movement or action. Additionally, some people use various forms of speed to suppress their appetite. Velocity, as opposed to speed, refers to the rate and direction of an object's movement as it moves along a path. Speed is defined as the rate at which a distance changes over time with a Velocity. It has a distance by time dimension. The basic unit of distance plus the basic unit of time are combined to form the SI unit of speed. The metric system uses meters per second as the unit of speed.

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recent evidence suggests that mars once had a global magnetic field. assuming this is true, which of the following could explain why mars today lacks a global magnetic field like that of earth?

Answers

The explanation why Mars today lacks a global magnetic field like that of the Earth is because Mars's interior has cooled so much that its molten core layer no longer undergoes convection.

Why does plаnet Mаrs hаs no mаgnetic field like the eаrth?

The Eаrth's mаgnetic field is generаted by the motions of the liquid mаteriаl under the surfаce, pаrticulаrly the outer core. Mаrs, аs а much smаller body, cooled off fаster, аnd this convective motion ceаsed. The mаgnetic field died with it, except for weаk locаl pаtches thаt remаin to this dаy. However, it did hаve а mаgnetic field for а while, which helped retаin wаter аnd аtmosphere just аs it does on Eаrth todаy - something like the first billion yeаrs of its history. This is why it is considered one of the most likely plаces to hаve supported life in the distаnt pаst.

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Henry is trying to move his 232 kg refrigerator. He is pushing, but the refrigerator is not moving. If the maximum coefficient of friction between the refrigerator and the floor is 0.87, how hard does Henry have to push in order to get the refrigerator to move?

Answers

Answer:

Once the fridge is moving you are still applying the same push force but now the opposing friction (now kinetic) force is less.

what will the total kinetic energy of the molecules in this system be when the system reaches equilibrium?

Answers

Answer:

When the system reaches equilibrium, the total kinetic energy of the molecules will be zero.

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