On an ice skating rink, a girl of mass 50 kg stands stationary, face to face with a boy of mass 80 kg. The children push off of one another, and the boy moves away with a velocity of 3 m/s. What is the final velocity of the girl? â€"1. 9 m/s 1. 9 m/s â€"4. 8 m/s 4. 8 m/s.

Answers

Answer 1

The velocity of the girl is  -4.8 m/s.

Using the principle of conservation of linear momentum, The total momentum of  bodies before and after collision is constant. Since the two objects are stationary, the initial momentum of each body is zero.

Thus;

0 = (80 × 3) + (50 × v)

0 = 240 + 50 v

-240 = 50 v

v = -240/50

v = -4.8 m/s

Note that the negative sign shows that the velocity of the girl is in opposite direction that that of the girl.

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Related Questions

Please help me w this

Please help me w this

Answers

A. a cantaloupe that is curving to the right as it rolls down the aisle of a grocery store.

B. a heavy coconut that is speeding up as it falls from a tree toward the ground

What is acceleration?

The acceleration of an object is defined as the change in velocity to change in time of motion of an object.

Mathematically, the formula for acceleration is given as;

a = Δv/Δt

where;

Δv is the change in velocity of the objectΔt is the change in time of motion of the object

An object moving a constant speed or velocity is not accelerating, because it we apply the formula for acceleration, we will obtain a zero acceleration since the initial velocity of the object will be equal to its final velocity.

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You decide to actually levitate the sphere using two oppositely charged plates to create the uniform electric field. If you have the plates close together compared to their size, what charge density do they need to have in nC/m^2 to create the field?

Answers

To levitate a sphere using two oppositely charged plates, the plates need to have a charge density in nC/m^2.

The force of the electric field on the sphere is given by F = qE, where q is the charge of the sphere and E is the electric field. To generate a uniform electric field, the plates need to have a constant charge density.

The electric field between the plates can be calculated using the formula E = V/d, where V is the voltage difference between the plates and d is the distance between the plates.

The charge density on the plates is then given by σ = Q/A, where Q is the total charge on each plate and A is the area of each plate. By equating the electric field with the weight of the sphere, one can determine the required charge density.

The plates need to have a high enough charge density to produce a strong enough electric field to counteract the force of gravity on the sphere and lift it up.

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Describe an atom using mass and atomic number. Please help.

Answers

each atom has a charged sub structure consisting of a nucleus which is made of protons and neutrons surrounded by electrons
Describe an atom using mass and atomic number. Please help.

A system does 80 j of work on its surroundings and releases 20 j of heat into its surroundings. what is the change of energy of the system?[use u=q-w
a. -60 j
b. 60 j
c. -100 j
d. 100 j

Answers

The correct answer is (b) 60 J. A system does 80 j of work on its surroundings and releases 20 j of heat into its surroundings. The change of energy of the system 60 J

To determine the change in energy of the system, we can use the equation:

ΔU = q - w

where ΔU represents the change in energy of the system, q represents the heat transferred to the surroundings, and w represents the work done by the system on the surroundings.

Given that q = -20 J (since heat is released into the surroundings) and w = -80 J (since work is done by the system on the surroundings), we can substitute these values into the equation:

ΔU = -20 J - (-80 J)

    = -20 J + 80 J

    = 60 J

Therefore, the change in energy of the system is 60 J.

Understanding the principles of energy transfer and the calculation of changes in energy is crucial in thermodynamics. In this particular scenario, the change in energy of the system is determined by considering the heat transferred and the work done on or by the system.

By applying the equation ΔU = q - w, we can calculate the change in energy. In this case, the system releases 20 J of heat into its surroundings and does 80 J of work on the surroundings, resulting in a change of energy of 60 J. This knowledge enables us to analyze and interpret energy transformations and interactions within a given system, leading to a better understanding of various physical and chemical processes.

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A 1000 kg car moves with a constant speed 20.0 m/s
around a flat circular track of radius 30.0 m. What is the
centripetal acceleration of the car?

Answers

Answer:

13.33 m/s^2

Explanation:

Velocity^2 then divide that by the radius

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is 630 cubic centimeters and the pressure is 89kPa and is decreasing at a rate of 12 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm^3/min​ (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.)

Answers

Answer:

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is 630 cubic centimeters and the pressure is 89kPa and is decreasing at a rate of 12 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm^3/min

Explanation:

89 kPa * 630 cm^3 = C

C = 3.54885 x 10^9 cm^4 kPa^(-1.4)

Now that we know the value of C, we can differentiate the equation with respect to time. This gives us:

dP/dt = -12 kPa/min

dV/dt = (1.4)(C)(P^(-1.4))(dP/dt)

dV/dt = (1.4)(3.54885 x 10^9 cm^4 kPa^(-1.4))(89 kPa)^(-1.4)(-12 kPa/min)

Therefore, the rate of change of volume is 910.846 cm^3/min. This means that the volume is increasing at a rate of 910.846 cubic centimeters per minute

Which organism is the primary consumer in this food chain?
a) Carrot
b) Rabbit
C) Fox
d) Lion

Answers

Rabbit hope this u out hollow

A net force F acts on a mass m and produces an acceleration a. What acceleration results if a net force 10F acts on mass 20m

Answers

If a net force F produces an acceleration a on a mass m, then a net force 10F acting on a mass 20m will result in an acceleration one-fifth of the original acceleration.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Mathematically, this relationship is expressed as:

F = ma

To find the acceleration resulting from a net force 10F acting on a mass 20m, we can substitute the values into the equation:

(10F) = (20m) * a'

Simplifying the equation, we find:

a' = (10F) / (20m)a' = (1/2) * (F/m)

Thus, the resulting acceleration is one-fifth (1/5) of the original acceleration.

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The mass of the train is 450000 kg.
Calculate the maximum possible speed of the train at the end of the first 4.0km of the
journey.

Answers

The maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.

To calculate the maximum possible speed of the train at the end of the first 4.0 km of the journey, we can apply the principle of conservation of energy.

Assuming there are no external forces like friction or air resistance, the initial potential energy of the train will be converted into kinetic energy.

The potential energy (PE) of the train at the beginning of the journey can be calculated as PE = mgh, where m is the mass of the train, g is the acceleration due to gravity (approximately \(9.8 m/s^2\)), and h is the height difference (in this case, we assume it to be zero).

The kinetic energy (KE) of the train at the end of the 4.0 km journey can be calculated as \(KE = (1/2)mv^2\), where v is the velocity of the train.

Since the potential energy is converted into kinetic energy, we can equate the two expressions:

PE = KE

\(mgh = (1/2)mv^2\)

Simplifying and canceling out the mass:

\(gh = (1/2)v^2\)

Substituting the values, \(g = 9.8 m/s^2\)and h = 0, we get:

\((9.8 m/s^2)(0) = (1/2)v^2\)

Simplifying further:

\(0 = (1/2)v^2\)

This equation tells us that the maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.

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A 1220-w hair dryer is used by several members of the family for a total of 30 min per day during a 30 day month. How much elecrical energy is consumed by the hair dryer during the month give your answer in kilowatt hours

Answers

Answer:

Energy = 18.3 Kilowatt-hour

Explanation:

Given the following data;

Power = 1220 Watts

Time = 30 * 30 = 900 minutes to hours = 900/60 = 15 hours

To find the energy consumption;

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

\( Power = \frac {Energy}{time} \)

Making energy the subject of formula, we have;

Energy = power * time

Energy = 1220 * 15

Energy = 18300 Joules

To convert energy to Kilowatt-hour;

Energy = 18300/1000

Energy = 18.3 Kilowatt-hour

constant patterns of particle behavior are called what

Answers

Constant patterns of particle behavior are called "laws of nature" or "physical laws."

These terms refer to the regular, predictable behavior of particles under certain conditions, which can be described mathematically or through scientific principles.

Examples of physical laws include Newton's laws of motion, the laws of thermodynamics, and the laws of conservation of energy and mass.

The constant patterns of particle behavior are often referred to as laws or principles.

In the context of physics, these laws describe the fundamental rules that govern the behavior of particles and systems, such as the laws of motion, the laws of thermodynamics, and the laws of electromagnetism.

These laws have been formulated through observation, experimentation, and theoretical modeling, and they provide a framework for understanding the natural world.

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What goes up and down continuously, gets larger as it spreads out, and retains the same amount of joules until it is fully converted to heat and mechanical energy?

Answers

Answer:

The phenomenon that fits the description of going up and down continuously, getting larger as it spreads out, and retaining the same amount of joules until fully converted to heat and mechanical energy is a wave.

Explanation:

Waves exhibit a repetitive oscillation or vibration that can propagate through various mediums such as air, water, or solids. As a wave travels, it undergoes a pattern of upward and downward movement, referred to as oscillation or displacement.

The concept of spreading out refers to the wave's behavior of expanding or dispersing as it propagates through space. This can be observed in phenomena like sound waves spreading out in all directions or waves on the surface of water expanding outward.

Regarding the conservation of energy, waves typically conserve the total energy content while undergoing various transformations. In the case of waves, the energy carried by the wave remains constant, but it may change its form as the wave interacts with its surroundings. Ultimately, when the wave is fully converted to heat and mechanical energy, the total amount of energy remains the same.

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When a ball rolls along carpet, it slows down faster than when it is rolled on the floor. What transfer of energy explains this observation?
Select one:

A carpet transfers more energy to potential energy than the floor.

A carpet transfers less energy to heat than the floor.

A carpet transfers more energy to heat than the floor.

A carpet transfers less energy to potential energy than the floor.

Answers

Answer:

A carpet transfers more energy to heat than the floor, I believe.

Explanation:

There is more friction on the carpet creating more heat and energy loss. Potential energy is gained from being at a higher elevation.

You approach a stop sign on a road going 10m/s, from the moment you stepped on the brakes to the moment you stopped completely is 5 seconds, what was your acceleration?

Answers

Answer:

a = -2m/s^2

Explanation:

Given: Initial Velocity is 10m/s, Final Velocity is 0, time is 5 seconds

Required: acceleration

Analysis: a = vf-vi/Δt

Solution:

a = 0-10/5

a = -10/5

a = -2

Paraphrase: Your acceleration is -2m/s^2

(remember that acceleration is in the opposite direction when slowing down, hence why acceleration is negative)

What type of muscular assessment is the bench press

Answers

upper body muscular strength

Answer:

Explanation:

muscular strength test

an object is thrown straight up with an initial velocity of 20.0 m/s, and there is an air resistance force which would cause an acceleration of 3.00 m/s2 opposite the direction of motion. with what speed does the object return to the ground?

Answers

As the object is thrown up with the initial velocity of 20.0 m/s, and there is an air resistance force that would cause an acceleration of 3.00 m/s2, the speed of the object as a return to the ground is 10.8 m/s.

Kinematic equations

The kinematic equations are a set of equations that describe the motion of an object with constant acceleration.

When we have an initial velocity value, it is written as Vo, while for the final velocity, we simply write V or Vt. As an object moves through the air, air resistance slows the object’s speed.

The formula of the kinematic equation used for solving this case is

Vt = V0 + at (the gravity is 10 m/s2)

\(Vt = Vo + (-g-a)t\\\0 = 20 + (-10-3)t\\0 = 20-13t\\\13t = 20\\\t = \frac{20}{13}\)

After the time is known, now we can insert the value into the following formula :

\(Vt = Vo + (g-a)t\\Vt = 0 + 7.\frac{20}{13} \\Vt = 0 + \frac{140}{13} \\\Vt = 10.8 m/s\)

Thus, the speed of the object returns to the ground after being thrown up with an initial velocity of 20.0 m/s and acceleration of 3.00 m/s2, which is 10.8 m/s.

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The natural enzyme reaction in food slowly breaks it down and eventually causes it to spoil. what 2 things halt this enzyme reaction and help preserve the food?
microwaving
cooking at high temperature
storing properly in the refrigerator
blanching and canning

Answers

Answer: the answer is storing properly in refrigeration.

Explanation:

9. An object moving at a constant velocity accelerates at a constant rate of 20 m/s for a distance of
100 m. At the end of the acceleration the object has a velocity of 80 m/s. What was its velocity
before accelerating?

9. An object moving at a constant velocity accelerates at a constant rate of 20 m/s for a distance of100

Answers

Answer:

I believe the answer is roughly 49m/s

Explanation:

List all given variables:

Accel=20m/s^2

Dist=100m

Final velocity=80m/s

Initial velocity=?

Using the equation i=sqrt(f^2-2a*d) where i =initial velocity, f=final velocity, a=acceleration, and d=distance, we can plug in the known values and solve for initial velocity

i=sqrt(80^2-2*20*100)

i=sqrt(6400-4000)

i=sqrt(2400)

i=48.99, rounded up to 49m/s as the initial velocity

This is my speculation about this answer would appreciate if anyone can confirm this.

Why do astronomers need different telescopes at different locations to observe across the electromagnetic spectrum

Answers

Frequency or wavelength-based distribution of all electromagnetic radiation is known as electromagnetic spectrum.

The majority of celestial bodies emit many forms of electromagnetic radiation simultaneously. What they emit depends on a variety of factors, including how hot they are and what materials they are made of.

Different telescopes are used by astronomers to find various electromagnetic spectrum components. Only one region of the electromagnetic spectrum can be detected by each type of telescope.

At radio frequencies, light pollution is more severe than at visible wavelengths.

Light pollution, often known as artificial nighttime light, is the improper or excessive use of artificial outdoor light.

Different energies of photons have a range of wavelengths, some of which are inaccessible from the Earth's surface and need different methods of collection.

As the atmosphere distorts more strongly at shorter wavelengths, telescopes must adjust.

Modern telescopes use new technologies to work more effectively and making innovative telescope designs is a task that engineers and astronomers relish.

That’s why astronomers need different telescopes at different locations to observe across the electromagnetic spectrum.

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Why do we have to place a object into a graduated cylinder to determine its volume

Answers

The reason why  we have to place a object into a graduated cylinder to determine its volume is that the meniscus of liquids in plastic graduated cylinders are relatively flat and this can lead to a more accurate reading of the volume of the liquid.

Why do you measure volume with a graduated cylinder?

Graduated cylinders with markings every 1 mL make it simple to measure the volume of your liquid sample with a decent amount of accuracy. The liquid's surface inside a graded cylinder should be observed at eye level for the best results; the volume of the sample is shown by the line at the bottom of the liquid's meniscus.

Graduated cylinders are long, thin containers used to measure liquid volume. They are not meant for weighing, heating, stirring, or mixing. Sizes for graduated cylinders typically range from 5 mL to 500 mL. Some even have capacities more than one liter.

Because the meniscus of liquids in plastic graduated cylinders is reasonably flat, plastic graduated cylinders are frequently utilized.

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Which of the following is transferred during the movement of a wave?

Answers

Answer:

a,b,c,d what are they

Explanation:

Answer:

matter medium particles

Explanation:

a p e x

If observations had shown that the cosmic microwave background was perfectly smooth (rather than having very slight variations in temperature), then we would have no way to account for _________.

Answers

If observations had shown that the cosmic microwave background (CMB) was perfectly smooth, without any variations in temperature, then we would have no way to account for the formation of **large-scale structures** in the universe.

The slight temperature variations observed in the CMB, known as anisotropies, provide crucial evidence for the formation of structures such as galaxies, galaxy clusters, and cosmic filaments. These temperature fluctuations are a result of tiny density fluctuations in the early universe, imprinted shortly after the Big Bang during a period known as cosmic inflation.

These density fluctuations served as the seeds for the gravitational collapse of matter, leading to the formation of structures over billions of years. The regions of slightly higher density would have experienced stronger gravitational attraction, causing matter to accumulate and form clumps, while regions of slightly lower density would have become underdense regions.

If the CMB had been perfectly smooth with no variations, it would suggest a very uniform and homogeneous early universe, lacking the necessary initial conditions for the formation of structures. Our understanding of the evolution of the universe and the formation of galaxies and other large-scale structures would be significantly challenged without the observed temperature fluctuations in the CMB.

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How does an executive order differ from a statue?

Answers

Answer: Executive Order on Protecting American Monuments, Memorials, and Statues against our country are public monuments, memorials, and statues.

Explanation: learned it last week

Sunidhi made a study chart about changes in states of

matter.

Which headings best complete the chart?

X

melting

sublimation

Y

freezing

deposition

X: Solid Directly to Liquid

Y: Liquid Directly to Solid

OX: Liquid Directly to Solid

Y: Solid Directly to Liquid

O X: Heat Is Released

Y: Heat Is Absorbed

X: Heat Is Absorbed

Y: Heat Is Released

Answers

Answer:

 freezing melting sublimating  x y

 x and

Explanation:

To drop a table of states of matter the best headings must be

table name: matter state

    freezing melting sublimation x y

This order goes from the solid state to the gaseous state, which is obtained by introducing heat into the system

Answer: D on edge

X: Heat Is Absorbed

Y: Heat Is Released

Explanation:

sublimation and melting are both absorbing heat(aka getting warmer)as they change state while freezing and deposition are releasing heat(aka getting colder)as they change state

using the planet's angle of greatest elongation copernicus was able to estimate

Answers

Using the planet's angle of greatest elongation, Copernicus was able to estimate the planet's distance from the sun.

The angle of greatest elongation is the angle between the sun and the planet, as viewed from Earth, when the planet is at its farthest point from the sun in its orbit. Copernicus realized that the greater the angle of elongation, the farther the planet was from the sun. He used this information to estimate the relative distances of the planets from the sun, which was a major contribution to the development of the heliocentric model of the solar system. This model placed the sun at the center of the solar system, with the planets orbiting around it in elliptical paths.

Copernicus' work paved the way for future astronomers to refine our understanding of the solar system and its place in the universe.

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Imagine you wake up on Monday morning and none of the lights or the appliances in your house are working. What is a theory? Come up with and describe a specific theory that might explain why this is happening? What could you do to test this theory? How is this an example of the theory-data cycle in science?

Answers

A theory is a well-substantiated explanation or framework that integrates and explains a wide range of observations and empirical evidence.

According to this theory, a disruption in the electrical power supply could be the cause of the malfunctioning appliances and lights.

To test this theory, you could undertake the following steps:

1. Check the Power Supply: Verify if there is an overall power outage by checking the electrical connections, circuit breakers.

2. Contact Utility Provider: Contact the local utility provider or electricity company to inquire about any reported power outages in the area.

3. Gather Data: Document the details of the power outage, including the time, duration.

The scenario described above demonstrates the theory-data cycle in science:

1. Observation: The initial observation is that the lights and appliances in the house are not working, indicating a disruption in the power supply.

2. Data Collection and Analysis: The data collected through testing provides evidence to evaluate the theory.

3. Iteration and Refinement: The theory-data cycle is an iterative process.

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an ink-jet printer steers charged ink drops vertically. each drop of ink has a mass of 10-11 kg, and a charge due to 751896 extra electrons. it goes through two electrodes that gives a vertical acceleration of 104 m/s2. the deflecting electric field is mv/m.

Answers

The deflecting electric field is 0.83mv/m

Acc. to the newtons 2nd law - there is an acceleration when a force acts on an object.

F = ma     (equation 1)

where

F is force

m is mass of object

a is acceleration

Electric field intensity- it is defined as force experienced by a unit positive charge placed at that point.

it is denoted by E = F/q

where

F is force

q is the charge

F = Eq     (equation2)

from 1 and 2 equation we get

ma = Eq

E = ma /q

Charge on the drop of ink.is q.

(e is the charge on an electron.)

so,

q = 751896×e

q = 751896×1.6 ×⁻¹⁹

q = 12.03 ×10⁻¹⁴

m = 10⁻¹¹kg

a = 10⁴ m/s²

using above values

E = ma /q

E = 10⁻¹¹×10⁴/12.03 ×10⁻¹⁴

E = 0.83mv/m

The deflecting electric field is 0.83mv/m

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1) In which of the situations listed below is energy being transferred as heat to the system in order for the system to do work? In which situation is work being done on the system in order for energy to be transferred from the system as heat?

a) Two sticks are rubbed together to start a fire.

b) A firecracker explodes.

c) A red-hot iron bar is set aside to cool.

Answers

Answer: Heat and work are two different forms of energy. Both of these forms are energy in transit. This means that an object does not have work or heat, but can only transfer its energy to its surroundings or other objects in the form of work or heat.

On the other hand, the internal energy is the energy that an object has due to its state. When work is done by/on the system or heat is added/removed to/from the system, the internal energy of the system is affected. These three quantities are related according to the first law of thermodynamics.

Two sticks are rubbed together to start a fire- In this situation, the bars are worked by rubbing against each other. This work is transferred from the system as heat, which eventually ignites the sticks.

A firecracker explodes-

In this situation, the heat in the rocket fuel does work on the rocket by increasing the kinetic energy and potential energy (increase in height) of the rocket.

Heating an iron bar into ore is a change. As it is heated to a higher temperature in this iron rod until it glows red, no new substance is formed in this change. After cooling, it turns back into an iron rod, so the physical change is reversible.

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Picturing the way a volcano erupts to remember how a volcano functions is called a. visualizing c. keywording b. categorizing d. all of these please select the best answer from the choices provided a b c d

Answers

Answer:

A.

Explanation:

You need to imagine how the volcano erupts to know how the volcano works.

Which of the following equations illustrates the law of conservation of
matter?
A. 2H₂ + O₂ → H₂O
OB. 2H₂ + 202 → 2H₂0
OC. H₂ + O2 → H₂O
D. 2H₂ + O₂ → 2H₂O
SUBMO

Answers

Answer : D that’s the answer

Answer:

Explanation:

Answer : D that’s the answer

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