What is the velocity of an object that is 89 kg at a height of 4 meters if its potential and kinetic energy are equal?

Answers

Answer 1

If potential energy and kinetic energy are equal then,

PE = mgh = KE = (1/2)mv^2

Where,


m = mass of the object,
g = acceleration due to gravity (9.81 m/s^2),
h = height of the object,
v = velocity of the object.

Given,

mass= 89kg,
height= 4 meters,

Now,

mgh = (1/2)mv^2

89 kg * 9.81 m/s^2 * 4 m = (1/2) * 89 kg * v^2

v^2 = 2 * 9.81 m/s^2 * 4 m

v^2 = 78.48 m^2/s^2

v = sqrt(78.48 m^2/s^2) = 8.86 m/s


Therefore, the velocity of the object is 8.86 m/s.


Related Questions

what was one of the first observations that hinted at limitations in newton's theory of gravity?

Answers

One of the first observations that hinted at limitations in Newton's theory of gravity was the precession of the orbit of Mercury.

Despite Newton's theory accurately predicting the orbits of the other planets, the orbit of Mercury did not match its predicted path. In the late 1800s, astronomers noticed that Mercury's orbit was shifting slightly with each revolution, causing the point where it crossed the sun's equator to slowly rotate. This phenomenon, known as precession, could not be explained by Newton's theory alone. It wasn't until Einstein's theory of general relativity that the precession of Mercury's orbit could be accurately predicted. This observation led to the realization that Newton's theory of gravity had limitations and could not fully explain the behavior of objects in space.

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how is conduction affected by different factors​

Answers

Answer:

The process of heat conduction depends on four basic factors: the temperature gradient, the cross section of the materials involved, their path length, and the properties of those materials.

Explanation:

The system is in equilibrium, and the pulleys are weightless and frictionless.
Find the tension T.
The acceleration of gravity is 32 ft/s^2
Note: lb ≡ slug · ft/s^2

Answer in units of lb.

There is an attachment of the system below

The system is in equilibrium, and the pulleys are weightless and frictionless.Find the tension T. The

Answers

Answer:

F = M a    where F is in lbs, M in slugs and a in ft/s^2

Apparently this system is motionless so

T + 15 is the downward force on the mass of 15 lbs

1 slug * 32 ft/s^2 is 32 lbs the weight of the other block

It takes a force of 32 / 2 = 16 lbs on the cable to support this weight

16 lbs = T + 15 lbs

T = 1 lbs

What is a Concentric tube bulb manometer and Compare its performance to an U-tube manometer

Answers

A concentric tube manometer is a type of pressure-measuring device that consists of a tube within a tube. The inner tube is connected to the pressure source, and the outer tube is open to the atmosphere. The pressure of the gas or fluid being measured causes the inner tube to move up or down, and the difference in height between the two tubes is used to measure the pressure.

In contrast, a U-tube manometer consists of a U-shaped tube that is open to the atmosphere at both ends. One end of the tube is connected to the pressure source, and the difference in height between the two sides of the U-shape is used to measure the pressure.

Both concentric tube and U-tube manometers are used to measure the pressure of gases and fluids in a variety of applications, including HVAC systems, air conditioning systems, and hydraulic systems.

One advantage of the concentric tube manometer is that it is more compact and easier to install in tight spaces. It is also less sensitive to temperature changes, as the temperature of the inner tube does not affect the measurement. On the other hand, the U-tube manometer has a longer measurement range and is less sensitive to vibration, which makes it more suitable for use in industrial settings.

It’s a type of device that measures pressure

An illustration of a battery with a copper wire attached to its top end that runs to a nail, wraps all around and down the length of the nail, and then connects to the bottom end of the battery.

What effect does decreasing the number of coils around the nail have on the strength of the electromagnet?


It remains the same strength.

It depends how many coils are removed.

It becomes weaker.

It becomes stronger.

Answers

The electromagnet becomes weaker when the number of coils around the nail is decreased. The correct answer is "It becomes weaker."

An electromagnet is created by coiling a wire around a magnetic core, such as a nail, and running an electric current through the wire. This creates a magnetic field around the wire, which magnetizes the core.

The strength of the magnetic field and thus the strength of the electromagnet is directly proportional to the number of coils around the magnetic core.

This is because each coil adds to the magnetic field, and the more coils there are, the stronger the magnetic field becomes.

When some coils are removed, there are fewer coils contributing to the magnetic field. As a result, the strength of the magnetic field and thus the strength of the electromagnet decreases.

Therefore, the correct option is " it becomes weaker" when the number of coils around the nail is decreased.

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Why does plasma challenge what we know about matter? How does it confirm what we already know?

Answers

Being made of charged particles, plasmas can do things gases cannot, like conduct electricity. And since moving charges make magnetic fields, plasmas also can have them. In an ordinary gas, all the particles will behave roughly the same way. Auroras, lightning, and welding arcs are also plasmas; plasmas exist in neon and fluorescent tubes, in the crystal structure of metallic solids, and in many other phenomena and objects. The Earth itself is immersed in a tenuous plasma called the solar wind and is surrounded by a dense plasma called the ionosphere.

Plasma is a type of matter in which many electrons freely roam around the nuclei of atoms.

What is plasma?

Although plasma is commonly thought of as a subset of gases, the two states behave very differently. Plasmas, like gases, have no definite shape or volume and are denser than solids or liquids.

Plasma is a sort of matter in which numerous electrons freely roam around the nuclei of atoms.

Plasma has been described as the fourth state of matter, alongside solid, liquid, and gas.

Normally, electrons in a solid, liquid, or gaseous sample of matter remain bound to the same nucleus.

Thus, plasma is considered a distinct phase because it does not conform to the standard descriptions and physical laws that are used to describe the standard three states of matter.

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Q. What is the acceleration of this object? What is its initial velocity?

For acceleration, can we do the second derivative? I don't know how to do initial velocity.

Q. What is the acceleration of this object? What is its initial velocity?For acceleration, can we do

Answers

Answer:

(1) - v(t) = 9.18t - 1.12

(2) - a(t) = 9.18 m/s²

Explanation:

We are given the position function, y(t) = 4.59t² - 1.12t + 0.03. We are asked to determine the following:

The velocity functionThe acceleration function

\(\hrulefill\)

To find the velocity function simply take the derivative of the position function.

y'(t) = v(t) = 9.18t - 1.12

Using the graph we can find the object's initial velocity by pugging in t=0.220 s.

=>  v(0.220) = 9.18(0.220) - 1.12

=>  v(0.220) = 0.8996 m/s \(\hrulefill\)

To find the acceleration function either take two derivatives of the position function or one of the velocity function.

y''(t) = v'(t) = a(t) = 9.18 m/s²

Thus, the object is speeding up with constant acceleration.

PLEASE PLEASEEE HELP ME. I HAVE NO IDEA?? LOTS OF POINTS UP FOR GRABS :)
Explain how the properties of α, β and γ radiation affect the level of the hazard at different distances.

Answers

alpha is weak and cannot pass through paper so it’s only hazardous and very close distances

beta is a bit stronger but will not be very hazardous at long distances unless there’s aluminium them u can stand next to it

gamma is very hazardous and can be dangerous at basically any distance ig yesh you need alotta protection

why does toilet seats stay cold even when the room temperature is warm?​

Answers

Answer:

lol While plastic and wood aren't great thermal conductors, they conduct heat faster than air does. Even if the toilet seat is at the same temperature as the air around it, it will feel colder to your but t because heat will move from your skin to the seat at a faster pace Air just doesn't conduct heat very quickly.

Explanation:

So you go pee faster in the middle of the night

PLEASEE HELP!!!!!!Why are the youth not getting involved in their communities and voting? How is media influencing the voters?

Answers

Answer:

because they are underaged and prob dont care and also the gov thinks that the youth cant make a reasonable decision for them selves for sum like that and the media influnces them to by saying whats going on and who supports who

A leaf falls from a tree. Because the leaf is so light, it will be affected by air
resistance. Taking this into account, what is the acceleration of the leaf as it
falls?
O A. O m/s2
O B. Less than 9.8 m/s2
O C. Exactly 9.8 m/s2
O D. More than 9.8 m/s2​

Answers

Answer:

b

Explanation:

Answer: less than 9.8 m/s

Explanation:

A leaf falls from a tree. Because the leaf is so light, it will be affected by airresistance. Taking

Un prisma rectangular con un volumen de 80 m^3 se sumerge hasta la mitad en agua, calcular la fuerza de empuje que recibe.(rho_(del agua)=1000 kg/m^3)

Answers

Answer:

400 kN

Explanation:

El principio de Arquímedes establece que, cuando un cuerpo está total o parcialmente sumergido en un fluido, experimenta un empuje hacia arriba que es igual al peso del fluido desplazado.

Dado que;

Volumen del bloque = 80m ^ 3

Densidad del agua = 1000 kg / m ^ 3

Empuje hacia arriba = 1/2 * 80 * 1000 * 10

Empuje hacia arriba = 400 kN

porque los animales tienen un esqueleto diferente -biologia

Answers

Porque sus células están creadas diferentes que los humanos.


Does anyone know how to do it

Does anyone know how to do it

Answers

Only the resistor connected in series which is resistor A will have the least current passing through it.

Which resistor is the current the smallest?

In this problem, we have some resistors that are connected in series and some in parallel.

The formula of resistors connected in series is given as;

R(series = R1 + R2 + R3 + ....+ Rn

The formula for resistors connected in parallel are

R(parallel) = 1/ R1 + 1/R2 + 1 / R3 +...+ 1/Rn

In this case, we have to assume that the voltage passing through the circuit is uniform and let's assume is 2V

V = IR

I = currentR = resistanceV = voltage

I = V/R

From the equation above, we can see that only the series resistance will have a small current passing through it.

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what are scalar quantities and list their examples​

Answers

Explanation:

these are quantities that have magnitude but no direction

Examples include : speed, mass, volume, density, everything, time

speed, mass, volume, density, time

How does the Coriolis effect impact the Gulf Stream and the Brazil Current?

Answers

Answer: The Coriolis effect results in bending the direction of surface currents to the right in the Northern Hemisphere and left in the Southern Hemisphere. The Coriolis effect causes winds and currents to form the circular patterns. The direction in which they spin depends upon the hemisphere in which they are present.Coriolis Effect is named after the French mathematician and physicist Gaspard-Gustave de Coriolis. It affects the weather patterns of an area, it affects the ocean currents, and it also affects air quality.

You did 100 j of work to move a 10 n object. How far did you move the object

Answers

I'm assuming you are pushing an object horizontally, so we can say that the angle between your hand and the object is zero.

The equation which describes the work done by an object is defined by:

\(w = fdcos( \alpha )\)

where w is the work done.where f is the force in newton.where d is the displacement.and a is the angle between the force and the displacement.

\(w = fdcos(0)\)

\(100 = 10d \times 1\)

\( \frac{10d}{10} = \frac{100}{10} \)

\(displacement = 10 \: meters\)

Michael's car ran over a nail which made a hole in one of the tires letting the pressurized air in the tire out of it at what point will it stop pouring out of the hole in the tire

Answers

Answer:

The air will stop pouring out of the hole in the tire when the pressure inside the tire is equal to atmospheric pressure

Explanation:

The question relates to equilibrium conditions

The given parameters are;

The condition of the pressure of the air in the tire, P = Pressurized, P > Atmospheric pressure

The pressurized air is let out of the tire through a hole made by a nail

Therefore;

When the pressure inside the tire is more than atmospheric pressure, the force per unit area of the air from the side of the hole inside the tire is more than the force per unit area acting in the opposite direction and the pressure forces the air out of the tire

Therefore, the air continues pouring out of the hole in the tire up to the point when the pressure inside the tire becomes equal to atmospheric pressure, at which point the force per unit area of the air on either side of the hole are equal.

PLEASE HELP!!
Suppose an ostrich runs 1.5 km at a speed of 58 km/h and then runs another 1.5 km at a speed of 29 km/h. What is the ostrich’s average speed during the 3.0 km run? (Hint: find the total time first by finding the time of each 1.5 km segment)

Answers

Answer: 38.46 km/h

Distance 1= 1.5km
Distance 2= 1.5km
Speed 1= 58km/h
Speed2= 29km/h
S= Distance/time= 58=1.5/t
t=1.5/58=0.026
t=1.5/29=0.052
Average Speed= Total Distance/Total time= 3/0.026+0.052= 38.46 km/h

The ostrich's average speed during the 3.0 km run is approximately 38.65 km/h.

The average speed of the ostrich during the entire 3.0 km run, we need to calculate  the total time taken for both segments and then divide the total distance by the total time.

Calculate the time for each segment:

Time taken for the first 1.5 km segment at 58 km/h:

Time = Distance / Speed

= 1.5 km / 58 km/h

≈ 0.02586 hours

Time taken for the second 1.5 km segment at 29 km/h:

Time = Distance / Speed

= 1.5 km / 29 km/h

≈ 0.05172 hours

Calculate the total time:

Total Time = Time for the first segment + Time for the second segment

Total Time ≈ 0.02586 hours + 0.05172 hours

≈ 0.07758 hours

Calculate the average speed:

Average Speed = Total Distance / Total Time

Average Speed = 3.0 km / 0.07758 hours

≈ 38.65 km/h

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(a) is it possible for the magnetic force on a charge moving in a magnetic field to be zero? (b) is it possible for the electric force on a charge moving in an electric field to be zero? (c) is it possible for the resultant of the electric and magnetic forces on a charge moving simultaneously through both fields to be zero?

Answers

a)It is possible for the magnetic force on a charge moving in a magnetic field to be zero. The force acting on the charge is zero when a charge is moving in the same or opposite direction of the magnetic field.  When a is charge moving parallel in the same direction of the magnetic field, then the magnetic force  is zero.

b)It is not possible for the electric force on a charge moving in an electric field to be zero. If there's a charged particle in a magnetic field, it's impossible for this force to become zero.

c)It is not possible for the resultant of the electric and magnetic forces on a charge moving simultaneously through both fields to be zero. The magnetic force can be zero but the electric force cannot be zero because it is not affected by the motion of the particles.

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lamp power with what is the current through the lamp when it is connected to a battery ?

Answers

Answer:

lamp power with what is the current through the lamp when it is connected to a battery ?

Explanation:

If the light bulbs are connected in parallel, the current flowing through the light bulbs combine to form the current flowing in the battery, while the voltage drop is 6.0 V across each bulb and they all glow. One bulb burning out in a series circuit breaks the circuit.

the tube cross-section with uniform thickness, t, below has the same length and end conditions for buckling about both its x- and y-axes. determine which axis it will buckle about. you are not required to perform any calculations but you are free to do so.

Answers

Therefore, a column will always flex about the axis with the lower second moment of area, or the "weaker" axis, for a given cross-section. This presupposes equal restraint on both axes.

Which axis, major or minor, is longer?

Two axes of symmetry exist in every ellipse. The main axis, which is the longer of the two, and the minor axis, which is the shorter, are referred to as such. The ellipse's vertex, or vertices, are each of the main axis' endpoints, and its co-vertex is each of the minor axis' endpoints.

What does the phrase "semi-minor axis" mean?

A line segment with one end at the center of the conic section is called the semi-minor axis (minor semiaxis) of an ellipse or a hyperbola. It forms a right angle with the semi-major axis. The lengths of the semi-axes are same for the special case of a circle, being the circle's radius.

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explain why temperature first increases, then begins to decrease throughout the day

Answers

Answer:

As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands) and the temperature decreases.

How high (in meters) can a 40 N force move a load, when 395 J of work is done? (round to the nearest 10th)

Answers

Answer:

9.9 m

Explanation:

From the question given above, the following data were obtained:

Force (F) = 40 N

Workdone (Wd) = 395 J

Height (h) =?

The height can be obtained as follow:

Potential energy = mgh = Fh

395 = 40 × h

Divide both side by 40

h = 395 / 40

h = 9.9 m

Thus, the height is 9.9 m.

for every 120 joules of energy input a car waste 85 joules, find the useful energy output of the car?

Answers

Answer:

Useful Output = 35 J

Explanation:

The useful energy output of the car must be equal to the difference between the total input energy supplied to the car and the energy wasted by the car:

Useful Output = Total Input - Waste

where,

Total Input = 120 J

Waste = 85 J

Therefore,

Useful Output = 120 J - 85 J

Useful Output = 35 J

In a solar panel for heat supply,state the function of each of the following parts:a) metal flat plate b) thermal insulator c) tubes

Answers

Thermal insulators stop the loss of accumulated heat, metal flat plates absorb solar radiation, and tubes absorb solar energy with the least amount of heat loss.

Briefing : A coated metal plate absorbs solar energy, raising its temperature above the surrounding air. The plate then disperses energy into its immediate surroundings through radiation and convection. The heat-transfer fluid receives the heat as a result, and the hot water system is then fueled. Thermal solar collectors with insulation improve absorption efficiency and prevent the loss of accumulated heat.These tubes absorb the sun's energy while minimizing heat loss to the environment by using a vacuum, or evacuated space. The heat captured from the Sun is transferred to the water through a heat pipe that is attached to an inner metal tube that serves as the absorber plate.

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2. As water passes through the rock layers of the earth it is cleaned by...
1.Sedimentation
2.Flocculation
3.Filtration
4.Aeration
5.Disinfection

Answers

Answer:

Filtration

Explanation:

is a process by which impurities or particles are removed from a fluid, either a liquid or a gas. The liquid, or feed, is poured over a filter, which catches particles and allows filtered liquid, or filtrate, to move through it.

I'm in middle school, and I answered an basic question for you. Come on man, all you have to do is look up the definition.

Neutrons have ____
- have positive charge
- are found in the nucleus
- orbit outside the atom
- are a special type of element

Answers

Answer:

opt B is correct

Explanation:

Are found in the necleus

An arrow is launched vertically up with an initial velocity of 22 m/s . How long will it take the arrow to reach the highest point of it's flight?

Answers

Answer:

The initial vertical velocity is the vertical component of the initial velocity: v0y=v0sinθ0=(30.0m/s)sin45°=21.2m/s.

Explanation:

Time taken by arrow to reach height point is 2.2 seconds

Given:

Initial velocity of arrow = 22 m/s

Find:

Time taken by arrow to reach height point

Computation:

We know that, highest point stands when final velocity is 0 m/s

So,

Final velocity = 0 m/s

Gravitational acceleration = 10 m/s²

So,

v = u + at

0 = 22 + 10(t)

10t = -22

t = -22 / 10

t = -2.2 second

Time taken = 2.2 seconds

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An arrow is launched vertically up with an initial velocity of 22 m/s . How long will it take the arrow

What effect would you expect coulomb electrical forces between electrons to have on the beam? Explain.
This question comes from the specific charge of the electron lab.

Answers

In the specific charge of the electron lab, coulomb electrical forces between electrons would have a significant effect on the beam

. As electrons are negatively charged particles, they would repel each other due to the coulombic force. This would cause the beam to spread out and become less focused as the electrons try to move away from each other. The greater the number of electrons present, the stronger the repulsive force would be, and the more spread out the beam would become.

Therefore, it is important to carefully control the number of electrons in the beam to minimize the effects of coulombic repulsion and maintain a focused beam.

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in the 1600s, pilgrims in europe who sought "psychic healing" would have been most likely to go to: Given the following information concerning a convertible bond:Principal $1,000Coupon 5%Maturity 15 yearsCall price $1,050Conversion price $37 (i.e., 27 shares)Market price of the common stock $32Market price of the bond $1,040a) What is the current yield of this bond?b) What is the value of the bond based on the market price of the common stock?c) What is the value of the common stock based on the market price of the bond?d) What is the premium in terms of stock that the investor pays when he or she purchases the convertible bond instead of the stock?e) Nonconvertible bonds are selling with a yield to maturity of 7 percent. If this bond lacked the conversion feature, what would the approximate price of the bond be?f) What is the premium in terms of debt that the investor pays when he or she purchases the convertible bond instead of a nonconvertible bond?g) If the price of the common stock should double, would the price of the convertible bond double? Briefly explain your answer.h) If the price of the common stock should decline by 50 percent, would the price of the convertible bond decline by the same percentage? Briefly explain your answer.i) What is the probability that the corporation will call this bond?j) Why are investors willing to pay the premiums mentioned in parts (d) and (f)? 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On January 1, 2021, Crane bought a building that cost $85,700, had an estimated useful life of ten years, and had a salvage value of $5,900. Crane uses the straight-line depreciation method to depreciate the building. In 2025 , it was estimated that the remaining useful life was eight years and the salvage value was zero. Depreciation expense reported on the 2025 income statement was correctly calculated based on the new estimates. No adjustment for prior years' depreciation estimates was made. 1. Office equipment purchased on January 1,2025 for $54,000 was incorrectly charged to Supplies Expense at the time of purchase. The office equipment has an estimated three-year service life with no expected salvage value. Crane uses the straight-line method to depreciate office equipment for financial reporting purposes. This error has not been recorded. 2. The corporation disposed of its sporting goods division during 2025. This disposal meets the criteria for discontinued operations. 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