If Olaf catches the ball, with what speed vf do Olaf and the ball move afterward?
Express your answer numerically in centimeters per second.

Answers

Answer 1

After Olaf catches the ball, Olaf and the ball will move at a speed of 6.136 cm / s

what is speed?

The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time as well as the basic component of length are combined to form the Equal magnitude of speed. Thus, the metre per second (m/s) is the Si derived unit of speed

How can speed be measured?

If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.

mass of the ball m = 0.4 kg

intial speed of the ball u =10.8 m/s

let the mass of olaf be M = 70kg

from law of conservation of momentum , mu = ( m + M ) v

from this speed of the olaf and the ball move afterwards v = mu/ ( m + M )

= 0.06136m/s

= 6.136 cm/s

To know more about speed visit:

https://brainly.com/question/13943409

#SPJ4


Related Questions

The truncated right circular cone below has a large base radius 8 cm and a small base radius of 4 cm. The height of the truncated cone is 6 cm. The volume of this solid is $n \pi$ cubic cm, where $n$ is an integer. What is $n$

Answers

According to the information, we can infer that the volume of this solid is 703.7 cm³.

How to calculate the volume of this solid?

To calculate the volume of this solid we have to use the following formula and know this data (both base radius and height). So, if we read the statement, we can find all the neccesary information to complete this task.

Information:

Large base radius: 8cmSmall base radius: 4cmHeight: 6 cm

To use the formula, we have to replace values of R and r (R represents large base radius and r represents small base radius).

Formula:

V = pi * ( height / 3 )  ( R²  + Rr  + r²)     V = 3.1416 * (6/3) (8² + 8*4 + 4²)V = Pi * (2) (64 + 32 + 16)V = 2Pi * 112V = 224 * Pi cm³V = 703.7 cm³

According to the above, the volume of this solid is 703.3 cm³.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Attached image

Learn more about volume in: https://brainly.com/question/1578538

#SPJ1

Disturbance that transfers energy from one place to another? A.waveB.energyC.vacuums

Answers

A disturbance that transfers energy from one place to another is known as a wave. Option A is the correct answer.

What is a wave?

This refers to a disturbance that transfers energy from one place to another. A wave can take the form of elastic deformation, a variation of pressure, electric or magnetic intensity, electric potential, or temperature. Waves are of different types namely:

sound waveswater wavesElectromagnetic waves.Mechanical wavesLongitudinal wavesTransverse waves

Properties of wave

The main properties of wave include:

Amplitude wavelength FrequencySpeedPeriod

Learn more about wave on

https://brainly.com/question/15937094

#SPJ1

A 20.0 kg rock is sliding on a rough, horizontal surface at 8 m/s and eventually stops due to friction.the coefficient of kinetic friction between the rock and the surface is 0.2
what average thermal power is produced as the rock stops?

a. 32.0
b. 78.4
c. 128.0
d. 313.6

Answers

Option d is Correct. As the rock comes to a stop, friction generates an average power of 313.6 watts.

Static friction prevents a body from starting to move when it is at rest. A body that is already moving is subjected to kinetic friction, which attempts to slow it down.

Self-adjusting static friction. The amount of external force used determines its coefficient. For instance, suppose a body is put on a rough surface with a weight of M and a reaction force of R = Mg.

You can use the formula P = Fv, where P is the average power, F is the frictional force, and v is 8.00 m/s, to find the average power of the sliding rock.

calculating the friction force F

N = mu * mu * mg

F = 0.200 * 20.0 kg * 9.8 m/s^2

F = 39.2 N

Finding the average power solution P

P = F * v

P = 39.2 N * 8.00 m/s

P= 313.6 watts.

Learn more about friction Visit : brainly.com/question/24338873

#SPJ4

It is sometimes said that if infinitely many planets existed, then every possible planet would have to exist, including, for instance, a planet exactly like Earth, except with unicorns. Is this necessarily true

Answers

In a limitless cosmos, there would therefore be an endless number all galaxies and planets. However, in an infinite world, there could only be finite amount if there was an infinitesimal likelihood that something would occur.

Which planet is the most brilliant?

The biggest planet in own Solar System, Venus, can be viewed from Earth without the use of a telescope. Due to its constant and dazzling presence, Venus was granted the names "evening star" and "morning star."

The hottest planet is...

Venus is the warmest planet within our solar system, with global temps hot enough to melt lead, thanks to its thick atmosphere that traps heat and causes a runaway greenhouse effect. Venus is around 700 degrees Fahrenheit (390 degrees Celsius) warmer that it would be without the greenhouse effect.

To know more about planet visit:

https://brainly.com/question/26756957

#SPJ4

A 175 kg motorcycle has 6.8 x 10 *4 j of kinetic energy how fast is it going

Answers

Answer:

[tex]K.E. =1/2mv^2\\6.8*10^4=1/2*175*v^2\\777.14=v^2\\v=27.87 m/s[/tex]

Kinetic energy is the energy possessed by a body due to its motion.

Using two different colors, sketch the paths that the two blocks of ice take during the turn. Assume that friction between the bed of the truck and the ice may be neglected.

Answers

To sketch the paths that the two blocks of ice take during a turn draw, mark, and direct the arrows based on centripetal force.

To sketch the paths that the two blocks of ice take during a turn, you can follow these steps:

Draw a rough sketch of the truck and its bed, including the ice blocks.Mark the starting positions of the two ice blocks.Assume that friction between the bed of the truck and the ice may be neglected. This means that the blocks of ice will move in a straight line, following the path of the centripetal force acting on them.Draw the path of the first block of ice, starting from its initial position, and following the direction of the centripetal force.Draw the path of the second block of ice, starting from its initial position, and following the direction of the centripetal force.Use different colors for the two paths, to clearly distinguish between the two.Add any additional details or annotations as necessary, such as the direction of the centripetal force or the angle of the turn.

To learn more about friction at

https://brainly.com/question/13000653?referrer=searchResults

#SPJ4

A kangaroo can jump over an object 2.23 m high. a. Calculate its vertical speed when it leaves the ground.

Answers

A kangaroo can jump over an object 2.23 m high, its vertical speed when it leaves the ground is about 6.7m/s.

What is vertical speed?

The rate at which an aeroplane rises or descends is known as its vertical airspeed. They both differ in terms of ground speed. Tracking the aircraft's rate of rise, or vertical airspeed, is done by monitoring the rate of descent, also known as the sink rate, which measures how quickly the aircraft is sinking. A projectile's vertical motion, which varies by 9.8 m/s2 every second, is independent of its horizontal motion.

If u is the starting velocity and v is the ending velocity, then

v² = u² + 2gs

0= u²-2(9.8) (2.23)

u²= 4.6(9.8)

u² = 45.08

u = 6.7m/s.

To know more about vertical speed visit:

https://brainly.com/question/28549633

#SPJ4

Two pieces of clay collide and stick together moving in one dimension. Clay 1 has a mass of 2,100 grams, and a clay 2 has a mass of 2,500 grams. Clay 1 has an initial velocity of 20 m/s immediately before they have a perfectly inelastic collision.

What is the final velocity of the two pieces of clay immediately after the collision?
a. 3.7 m/s
b. -3.7 m/s
c. 15 m/s
d.-15 m/s

Answers

The common velocity of clay 1 and clay 2 is 15 m/s. Option C

What is an inelastic collision?

We know that a collision can be said to be inelastic when the momentum and the kinetic energy are not conserved. This implies that rather than having the objects move out in different directions, the objects would rather stick together and just move in the same direction.

In this case we would also need the law of the conservation of linear momentum. Recall that according to this law, the momentum before collision  would just be the same as the momentum after Collison.

Thus;

Momentum before collision = momentum after Collison

(2100 * 20) + (2500 * 0) = (2100 + 2500)v

Where v is the common velocity

v = 42000/4600

v =  15 m/s

Thus they would have the common velocity of 15 m/s

Learn more about velocity:https://brainly.com/question/18084516

#SPJ1

what type of chemical energy is used to drive the light independent reactions

Answers

The chemical energy used to drive the light independent reactions, also known as the Calvin cycle, is in the form of ATP and NADPH.

ATP, or adenosine triphosphate, is a high-energy molecule that stores and releases energy. It is produced during the light-dependent reactions of photosynthesis through the process of photophosphorylation. NADPH, or nicotinamide adenine dinucleotide phosphate, is another high-energy molecule that is also produced during the light-dependent reactions through the process of non-cyclic electron flow.

Both ATP and NADPH are used in the light independent reactions to power the conversion of carbon dioxide into glucose and other sugars. The energy from these molecules is used to drive the fixation of carbon dioxide by an enzyme called rubisco, which converts it into a carbohydrate called 3-phosphoglycerate. This process is the key to the synthesis of glucose and other sugars in photosynthesis.

To know more about photosynthesis on below link:

https://brainly.com/question/29764662#

#SPJ4

Which of the following is true about the electron configurations of the noble gases?1. The highest occupied s and p sublevels are completely filled.2. The highest occupied s and p sublevels are partially filled.3. The electrons which the highest energy are in a d sublevel.4. The electrons with the highest energy are in an f sublevel.

Answers

The noble gases have completely filled s and p sublevels and no electrons in d or f sublevels.

What is noble gases?

Noble gases are a group of elements in the periodic table located in group 18. They are also known as rare gases due to their low reactivity. The noble gases consist of helium, neon, argon, krypton, xenon, and radon. Helium is the lightest and most abundant noble gas in the atmosphere, while radon is the heaviest and least abundant. These gases are colorless, odorless, and tasteless. They are generally unreactive and do not form compounds with other elements. This is because their outermost electron shells are filled and therefore they do not gain or lose electrons easily. Noble gases are used in many everyday applications, such as fluorescent lighting, welding, and cooling systems. They are also used in the medical field as an anesthetic and in certain industrial processes.

1. The highest occupied s and p sublevels are completely filled. - TRUE
2. The highest occupied s and p sublevels are partially filled. - FALSE
3. The electrons which the highest energy are in a d sublevel. - FALSE
4. The electrons with the highest energy are in an f sublevel. - FALSE

The noble gases have completely filled s and p sublevels and no electrons in d or f sublevels.


To learn more about noble gases
https://brainly.com/question/13715159
#SPJ4

what phenomenon occurs when light passes through a glass plate with parallel, microscopic grooves on it?

Answers

Diffraction is the phenomenon occurs when light passes through a glass plate with parallel, microscopic grooves on it.

When light travels through a diffraction grating, which is made up of numerous parallel slits that are evenly spaced apart, an intriguing thing happens. A very similar interference pattern to that produced by a double slit is produced.

A diffraction grating is an optical component that separates (disperse) light made up of a variety of wavelengths (such as white light) into its individual wavelength components. The most basic kind of grating has a lot of parallel slits that are widely separated from one another.

Diffraction gratings are optical components that split polychromatic light into its underlying constituent wavelengths in instruments like spectrometers.

To know more about diffraction click here

https://brainly.com/question/12290582

#SPJ4

Select one of the trials of Jessie running without a backpack. Make measurements and calculations to determine the amount of power her legs produce to offset the work done by the force of gravity as she runs up the hill.

Answers

The amount of power her legs produce to offset the work done by the force of gravity as she runs up the hill is found to be 3021.28W.

What does the force on the object do in terms of work?

W = Fd is the formula for the amount of work W that a constant force does on an object. It is computed by dividing the force's magnitude by the distance the object travels in the force's direction.

Jessie's mass m = 58Kg

power = F x V;

f = mg

=> 58 x 9.8 => 568.98N

V => d/t

d = 1.35m; t= 0.2541s

V => 1.35/0.2541 = 5.31m/s

Power => 568.98N x 5.31m/s => 3021.28W.

How do power and energy differ from one another?

Technically speaking, power is the rate at which work is done whereas energy is the capacity for work (or delivering energy, according to Encyclopedia Britannica). The amount of energy necessary to repeatedly accomplish the same task is the same, but if you want to complete it more quickly, you can exert more power.

Learn more about work here:

brainly.com/question/14070854

#SPJ4

A 5.0 kg dog sits on the floor of an elevator that is accelerating downward at 1.20 m/s2. What is the magnitude of the normal force by the elevator on the dog. Your answer will be in Newtons

Answers

The net force on the dog is given by:

fnet = fgravity + felevator

As the elevator is accelerating downward, the net force is equal to the gravitational force minus the force by the elevator. So:

felevator = m x a

where m is the mass of the dog (5.0 kg) and a is the acceleration of the elevator (1.20 m/s^2).

So, fnet = m x g - m x a

fnet = |m x g - m x a| = |5.0 kg * 9.8 m/s^2 - 5.0 kg * 1.20 m/s^2| = 49 N

So the magnitude of the normal force by the elevator on the dog is 49 N.

What happens to the person if elevator accelerates downward?

When the elevator accelerates downward the apparent weight of the man becomes zero. This is because of the reason that both the man and the lift are moving downwards with the same acceleration 'g' and so there is no force of action and reaction between them.

Define the term acceleration?

Acceleration is the rate at which velocity alters with time, in terms of speed and direction. A point or an object proceeding in a straight line is accelerated if it speeds up or slows down.

To know more about speed, visit here:

https://brainly.com/question/28224010

#SPJ4

You can double the maximum speed of an object on a spring undergoing simple harmonic motion by:
a. Reducing the mass to one-fourth its original value
b. All of these
c. Doubling the amplitude
d. None of these
e. Increasing the spring constant to four times its original value

Answers

We can double the maximum speed of an object on a spring undergoing SHM by: a. Reducing the mass to one-fourth its original value, c. Doubling the amplitude, and e. Increasing the spring constant to four times its original value so option-a, c and e are correct

How does simple harmonic motion work?

A motion is referred to as simple harmonic motion (SHM) when the restoring force is directly proportional to the body's displacement from its mean position. Always moving in the direction of the mean position, this restoring force.

When the restoring force is inversely proportional to displacement, oscillations become the most basic. Think back to the equation F = kx from Hooke's law, which describes this circumstance. The most basic type of oscillation, known as simple harmonic motion, is therefore described by and subject to Hooke's law.

To know more about simple harmonic motion visit:

https://brainly.com/question/28208332

#SPJ4

Option a, c, and e are accurate methods for increasing the spring constant to double the maximum speed of an object on a spring subject to SHM. Option a, c, and e involve reducing the mass to one-fourth its original value, doubling the amplitude, and increasing the spring constant to four times its original value.

What happens in a simple harmonic motion?

Actually, the duration and frequency of SHM are solely influenced by the mass m and the force constant k.

When the restoring force is directly proportional to the body's displacement from its mean position, the motion is referred to as simple harmonic motion (SHM). This restoring force is always pointing in the direction of the mean position.

Oscillations become the most fundamental when the restoring force is inversely proportional to displacement. Remember the Hooke's law equation F = kx, which explains this situation. Therefore, Hooke's law describes and applies to the most fundamental kind of oscillation, known as simple harmonic motion.

To know more about simple harmonic motion visit:

https://brainly.com/question/28208332

#SPJ4

one hundred joules of heat is added to a gas, and the gas expands at constant pressure. is it possible that the internal energy increases by 200 j? account for your answer with the aid of the first law of thermodynamics.

Answers

When the vapors expanded, the work was always positive, hence the energy is even less than 100 jewels. Therefore, this scenario is not plausible.

How much energy is one joule?

What is 1 J worth? It is sufficient to raise the temperature of a kilogram of water by one degree Celsius. A cup of coffee may be heated from ambient temperature to 50°C in roughly 12,000 J. A joule is therefore not a large amount of energy.

What other way can you express a joule?

In addition, one joule is equal to one watts of electricity radiated or lost each second. A developed SI unit of power is the joule. In addition to one megawatt second, one joule is also equal to 107 aerobic workouts, 0.2390 calories, and 0.738 foot-pound. The emblem of

to know more about scenario visite:

https://brainly.com/question/17129508

#SPJ4

net work w would accelerate an object of mass m to velocity v. what net work is needed to accelerate an object of mass 2m from rest to velocity v?

Answers

Net work done 2w is needed to accelerate an object of mass 2m from rest to velocity v.

What is work done?

The force that is required to move a thing a specific distance is referred to as the work done. Essentially, it is a measurement of the amount of energy that is transmitted to or from an item so that it can be moved. The result of the displace and or the component of such force applied of the particle in the displacement direction is the definition of the work performed by a force. Work is accomplished when we remove a block with a few force; the body moves more quickly. Work completed is noted as.

as we know that work done = 1/2 mv^2

as we double the m then work done will aslo become double because work done is directly proportional to the mass .

To learn more about work done visit:

https://brainly.com/question/2750803

#SPJ4

a 4.0 m long thin rod is pinned so that it spins about its center. the rod has a rotational inertia of 8.0 kg m2 about this center. the rod has two 3.0 kg masses attached at each end. what force f must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s2 about its center? group of answer choices 64 n 18 n 48 n 32 n 27 n

Answers

The 48n force f must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s2 about its center.

What is force ?

The pushing or pulling that modifies the velocity of a mass object is what is meant by the notion of force. An outside force has the ability to change a body's resting or moving status. It moves and has a size.

What is acceleration ?

Acceleration is the change in speed that occurs quickly. Generally speaking, but not always, acceleration denotes a shift in speed. Even while it travels in a circular motion, an object's velocity direction is changing, thus it keeps gaining speed.

Therefore, 48n force f must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s2 about its center.

Learn more about force from the given link.

https://brainly.in/question/23858054

#SPJ4

centripetal force a 200 g ball is moving in a horizontal circle at 5 m/s. the tension in the string is 5n. (don't forget: mass in kg a. which force is providing necessary centripetal force to keep stone moving in circular motion? b. how much is centripetal force? c. how long is the string? (fc

Answers

The force applied to an item in curvilinear motion that is pointed at the center of rotation or the center of curvature is known as a centripetal force. Mass* centripetal acceleration is used to determine

How can this problem be solved?

The provided ball weighs 0.35kg.

Given is a centripetal acceleration of 5 m/s2.

The centripetal force's magnitude must be determined.

Calculation

Centripetal force = mass*centripetal acceleration

                             = 0.35*5

                             =  1.75N

Hence , the centripetal force is 1.75N

To know more about solve visit:

https://brainly.com/question/14254416

#SPJ4

A clear, colorless, crystalline solid is heated. A pale yellow-green gas is given off and a shiny, malleable metal was left behind.

Answers

When a crystalline solid that is transparent, colorless, and heated. A chemical shift is seen when a light yellow-green gas is released and a glossy, malleable metal is left behind.

Chemical synthesis, or, alternatively, chemical breakdown into two or more separate molecules, occurs when one material reacts with another to create a new substance. These processes are referred to as chemical reactions, and they are often irreversible barring additional chemical reactions. Exothermic processes are those that generate heat; endothermic reactions, on the other hand, are those that may need heat in order to proceed. The science of chemistry places a lot of emphasis on comprehending chemical changes.

A clear, colorless, crystalline solid is heated. A pale yellow-green gas is given off and a shiny, malleable metal was left behind is an example of chemical change.

To know more about chemical changes, visit,

https://brainly.com/question/1222323

#SPJ4

a 1000-kg car traveling with a speed of 25 m/s skids to a stop. the car experiences an 8000 n force of friction. how much work is done by the frictional force?

Answers

The work done by the frictional force will be 100,000 Joules.

In order to calculate the amount of work done by the frictional force, we must first determine the amount of force that is being exerted. In this case, a 1000-kg car is travelling at a speed of 25 m/s, and is experiencing an 8000 N force of friction.

To calculate the total amount of work done by the frictional force, we must use the equation: Work = Force x Distance, where Force is the amount of force in Newtons, and Distance is the amount of distance the car travels.

In this case, the Force is 8000 N, and the Distance is the amount of distance the car travels while it skids to a stop. Therefore, the total amount of work done by the frictional force is 8000 N x (25 m/s/2) = 100,000 Joules.

To learn more about force, click here:

https://brainly.com/question/13191643

#SPJ4

A 1200-kilogram car traveling at 10. Meters per second is brought to rest in 0. 10 second. What is the magnitude of the average force that acted on the car to bring it to rest? A)1. 2 x 103N B )1. 2 x 10?N © 1. 2 x 105 N D) 1. 2 x 10°N

Answers

The average force that acted on the car to bring it to rest is  1.2 × 10⁵ Newton.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

The average force that acted on the car to bring it to rest is = - Change in momentum of the car/time interval

= (initial momentum - final momentum)/time interval

= (1200 kg × 10 m/s)/0.10 second

= 1.2 × 10⁵ Newton

Learn more about force here:

https://brainly.com/question/13191643

#SPJ1

Which of the following most closely explains what we would see from Earth according to the geocentric model that includes epicycles? Choose one: A. The planets would usually move west to east through the stars, but they appear to reverse direction when they are on the part of the epicycle that has motion opposite to that of the larger circle. B. The planets would always move east to west through the stars. C. The planets would remain stationary with respect to the stars, as they all orbit Earth at the same rate. D. The planets would usually move east to west through the stars, but they appear to reverse direction when they are on the part of the epicycle that has motion in the same direction as the larger circle. E. The planets would always move west to east through the stars

Answers

The planets typically move from west to east and through stars, but when they encounter the portion of the orbital path that moves counterclockwise to the greater circle, they appears to reverse course.

Describe motion.

The location or orientation of the body's motion changes with time. Translation is defined as displacement along a path or a curve. Rotation is a motion in which the body's orientation is altered. Displacement, duration, velocity, accelerated, time, and speed are all used to define motion.

What makes motion crucial to physics?

Force is needed to bring about that transition in motion. The time it takes to cover a distance depends on your speed; the distance is calculated as both the length of a straight line connecting your starting and stopping points.

To know more about motion visit:

https://brainly.com/question/11049671

#SPJ1

a machine has an efficiency of 70%. how much work does the machine do when 20,000 j of work is done on it?

Answers

The work done by the machine is 14000 joules if the efficiency of the machine is 70% and the 20,000 Joules work is done on it.

Efficiency of the machine is the ratio of the work done by the machine and the work done on the machine. It is a unitless quantity. In other words, efficiency of a machine is the ratio of output and input of the machine.

Work done on the machine = 20000 J

Efficiency(η%) = 70%

Efficiency(η%) = (Work done by the machine×100)/work done on the machine

70% = (100 × work done)/(work supplied)

70/100 = work done/20000

Work done = (70×20000)/100

Work done = 14000 J

To know more about efficiency, here

https://brainly.com/question/14502027

#SPJ4

Despite their extensive applications in communication systems, radio waves and microwaves are not the only form of EM waves present in our atmosphere. Another form of EM radiation plays an even more important role in our life (and the life of our planet): sunlight. The sun emits over a wide range of frequencies; however, the fraction of its radiation that reaches the earth's surface is mostly in the visible spectrum. (Note that about 35% of the radiation coming from the sun is absorbed directly by the atmosphere before even reaching the earth's surface.) The earth, then, absorbs this radiation and reemits it as infrared waves.

Answers

In summary, radio waves and microwaves are important forms of EM radiation, but they are not the only ones. Sunlight, as well as for photosynthesis, the growth of plants, and the heating of the atmosphere.

what is atmosphere ?

Atmosphere is a layer of gases that surrounds the Earth and other planets. It is composed of nitrogen, oxygen, and other gases in small amounts. It helps to keep Earth's temperature stable, shield us from harmful ultraviolet radiation from the sun, and also helps to provide us with the oxygen we need to breathe.

The atmosphere is divided into five layers, each with distinct characteristics and functions. The troposphere is the closest layer to the Earth's surface and contains most of the Earth's weather and air pollution. The stratosphere is located above the troposphere and contains the ozone layer, which absorbs ultraviolet radiation.

To learn about more atmosphere.

https://brainly.com/question/24925283

#SPJ4

hree point charges are arranged on a line. charge and is at the origin. charge and is at charge is at what is (magnitude and sign) if the net force on is zero?

Answers

Q₁ (magnitude and sign) if the net force on q₃ is zero if the three point charges are arranged in a line. Charge q₃ = +5.00 nC and is at the origin. Charge q₂ = -3.50 nC and is at x = 5.00 cm. The charge q₁ is at x = 2.50 cm = 0.75 x 10⁻⁹ C (positive)

The electrostatic force between two charges:

F = k (q₁q₂) / r²

q₁ = x = 2.50 cm

q₂ = at position x = 5.00 cm (negative)

q₃ = at position x = 0 (positive)

By mandating that the vector sum of the two forces be zero, we can determine the charge's magnitude. Therefore:

F₁₃ + F₂₃ = 0

= {k (q₁q₂) / r²} + {k (q₁q₂) / r²} = 0

= Hence,

q₁ = - (-3 x 10⁻⁹) (2² / 4²)

= 0.75 x 10⁻⁹ C ⇒ positive

The question is incomplete, it should be:

Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.50 nC and is at x = 5.00 cm . Charge q1 is at x = 2.50 cm . What is q1 (magnitude and sign) if the net force on q3 is zero?

Learn more about electrostatic force here: https://brainly.com/question/17692887

#SPJ4

Calculate thc work that must be done on charges brought from infinity to charge & spherical shell of radius R" 0.1OO m to & total charge Q-125 mc 502 J B) 602 J C) 702 ] D) 802 J E) 902 J

Answers

The work that must be done on charges brought from infinity to a spherical shell of radius R = 0.100 m and total charge Q = 125 mc is 602J. Hence, option B is the correct answer to this question.

To calculate the work that must be done on charges brought from infinity to a spherical shell of radius R, we can use the formula for the electric potential energy, which is given by U = kq1q2/r

Where k is the Coulomb constant, q1 and q2 are the charges, and r is the distance between the charges.

In this case, the work done on a single charge of q = Q/n, where Q is the total charge on the shell and n is the number of charges, brought from infinity to a distance of r = R from the center of the spherical shell is given by:

W = qU = q(kq/R) = kq^2/R

Since the total charge on the spherical shell is Q = 125 mc and the radius of the shell is R = 0.100 m, the work done on each charge is:

W = kq^2/R = (8.99x10^9 N.m^2/C^2)(125x10^-6 C)^2/(0.100 m) = 602 J

Therefore, the work that must be done on charges brought from infinity to a spherical shell of radius R = 0.100 m and total charge Q = 125 mc is 602 J.

Read more about the work done:

brainly.com/question/25573309

#SPJ4

An insulating sphere of radius a,centered at the origin, has a uniform volume charge density rho.
A spherical cavity is excised from the inside of the sphere.The cavity has radius a\4 and is centered at position h_vector, where|vector of h| < 3/4 a, so that the entire cavity is contained within thelarger sphere. Find the electric field inside the cavity.
Express your answer as a vector interms of any or all of rho,epsilon_0, r_vector, and h_vector

Answers

The electric field inside the cavity in terms of ρ, ε₀,  r vector, and h vector is ρh/3ε₀.

What is referred to as an electric field?

Every point in space has an electric field connected to it when charge, in any form, is present. The strength and direction of the electric field are expressed by the value of E, which is also known as the electric field strength, electric field intensity, or simply the electric field.

The electric field inside the cavity as a vector in terms of ρ, ε₀,  r vector, and h vector is,

E'' = E -E' = ρ (h-a/4)/3ε₀ - ρa/4/3ε₀

E'' = E -E' =  ρh/3ε₀.

To know more about electric field visit:

https://brainly.com/question/15800304

#SPJ4

The moon's mass is 7.4×1022kg and it orbits 3.8×108m from the earth with a period of 27.3 days.
What is the angular momentum of the moon around the earth?
Express your answer using two significant figures.

Answers

The angular momentum of the moon around the earth is 2.84 × 10³⁴ kgm²/sec, if the mass of the moon is 7.4 × 10²² kg.

Mass of the moon, M = 7.4 × 10²² kg

Radius of the orbital path, R = 3.8 × 10⁸ m

Time period of of one rotation, T = (27.3×86400) = 2.36 × 10⁶ seconds

Angular velocity, ω = 2π/T

ω = (2×3.14)/(2.36 × 10⁶) =  2.66 × 10⁻⁶ rad/sec

Moment of inertia of the moon around the earth, I = M×r²

I = 7.4 × 10²² × (3.8 × 10⁸)²

I = 1.068 × 10⁴⁰ kg-m²

Angular momentum of the moon, U = I × ω

= 1.068 × 10⁴⁰ × (2.66 × 10⁻⁶)

= 2.84 × 10³⁴ kg-m²/sec

To know more about angular momentum, here

https://brainly.com/question/29897173

#SPJ4

A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time. Which one is it

Answers

The correct graph is option A. This graph shows the volume of water in the birdbath over time, starting from the moment when water begins to flow in.


What is graph?

A graph is a visual representation of data or information, typically used to display patterns or relationships between different elements. It is made up of points, or nodes, which are connected by lines, arcs, or edges. Graphs can be used to represent mathematical relationships, physical distances, and other types of data such as networks, hierarchies, and geographical locations. Graphs are useful for visualizing complex information, and can help us gain insight into the data that would be difficult to understand from tables or spreadsheets alone.

The change in the water volume has a net gain of

20-18=2 mm/min

The birdbath's volume increases at a constant rate until it reaches its maximum and starts overflowing to keep a constant volume.

This is best represented by the graph A.

To learn more about graph
https://brainly.com/question/29445260
#SPJ4

Calculate the change in decibels ( Δβ2, Δβ4, and Δβ8) corresponding to m=2, m=4, and m=8. Give your answers, separated by commas, to the nearest integer--this will give an accuracy of 20%, which is good enough for sound.

Answers

The answer is 6, 8, 10, respectively, to the nearest integer.

What is integer?

An integer is a whole number (not a fraction) that can be positive, negative, or zero. Examples of integers include -5, 0, 2, 4, 7, 10, and 124. Integers are often used to count, label, or measure. Some programming languages use integers to represent different data types.

The change in decibels is calculated using the formula  Δβm = 10log10(m). Therefore, Δβ2 = 10log10(2) = 6.02 dB, Δβ4 = 10log10(4) = 8.04 dB, and Δβ8 = 10log10(8) = 10.06 dB. Therefore, the answer is 6, 8, 10, respectively, to the nearest integer.

To know more about integer click-
https://brainly.com/question/26251215
#SPJ4

The change in decibels ( Δβ2, Δβ4, and Δβ8) corresponding to m=2, m=4, and m=8 is 3.0103 dB, 6.0206 dB, 9.03 dB respectively.

What is change is decibels?

A change in decibels (dB) is a measure of the relative change in sound or electrical power level. A change of 3 dB is considered a small change in level, while a change of 10 dB is considered a significant change. It is important to note that dB is a logarithmic unit, meaning that a change of 10 dB represents a ten-fold increase or decrease in power level. For example, an increase of 10 dB in sound level is equivalent to a ten-fold increase in the sound's power, while a decrease of 10 dB represents a ten-fold decrease in the sound's power.

To calculate the change in decibels (Δβ) corresponding to a change in the magnitude of the sound (m), we use the formula:

Δβ = 10 * log10(m)

where m is the ratio of the new sound pressure level to the original sound pressure level.

For m = 2:

Δβ2 = 10 * log10(2) = 3.0103 dB

For m = 4:

Δβ4 = 10 * log10(4) = 6.0206 dB

For m = 8:

Δβ8 = 10 * log10(8) = 9.03 dB

So the change in decibels corresponding to m=2, m=4, and m=8 is 3, 6, 9 dB respectively, rounded to the nearest integer.

To know more about sound visit:

https://brainly.com/question/29707602

#SPJ4

Other Questions
Grace is making cookies. She has 6 tablespoons of baking soda left in the container. If she uses 2 teaspoons of baking soda for her recipe, how many teaspoons of barking soda will be left?? a stretched string has a wave speed v. if the string is replaced by another with half the linear mass density, by what factor will the speed of a wave on the string change? consider a 128 kb 8 way set associative cache with 32 byte lines. both the virtual and physical address spaces are 36 bits in size. how many bits are used for the tag comparison, set index, and byte offset what type of attack could be exploited in an unencrypted public wireless environment to reroute network traffic to a new default gateway? Match the vocabulary word with the proper definition. Definitions _____ 1. provide a mechanical barrier at body openings _____ 2. disease-causing agents _____ 3. a type of white blood cell _____ 4. living organisms that help protect the body _____ 5. the most important mechanical barrier _____ 6. a slimy substance that traps pathogens _____ 7. the process in which leukocytes engulf pathogens _____ 8. destroy pathogens on the outer body surface, at body openings, and on inner body linings _____ 9. the first reaction of the body to tissue damage or infection _____ 10. physically block pathogens from entering the body _____ 11. protects the body from worms, germs, and other agents of harm _____ 12. sweep mucus and pathogens toward body openings Terms a. biological barriers b. chemical barriers c. cilia d. immune system e. inflammatory response f. leukocyte g. mechanical barriers h. mucous membrane i. mucus j. pathogens k. phagocytosis l. skin Please help due tonight A monument is 315 feet tall. Suppose a 12-foot-tall pole that is near the monument casts a 5-foot shadow. How long is the monuments shadow? Write a three-paragraph persuasive essay answering the following question: Is the ending of An Occurrence at Owl Creek Bridge by Ambrose Bierce effective, good, or interesting? OR was it ineffective, bad, or uninteresting? Use examples from the plot to support your side of the argument.3 PARAGRAPHS!!! Which of the following are positive ways a transparent workplace can be created by a leader in business?A. By listening to the concerns of othersB. By withholding information from employeesC. By being reachableD. By not holding managers accountable opportunity cost is: * 10 points a. about half of the monetary cost of a product. b. the monetary payment for a product. c. the benefit derived from a product. d. the minimum price a consumer would be willing to pay for a product. e. the value of the best alternative forgone in making any choice. Which of the following motivational theories represents the claim that individuals are motivated by the expected outcomes of situations?A. expectancy theoryB. incentive theoryC. intrinsic motivationD. Maslow's hierarchy Historically, victims have expressed multiple concerns as to how law enforcement treats their case. Victim complaints have included all of the following EXCEPT __________.a. Victims were not read their "victims' rights" when the officer came to investigate the complaint.b. Victims were notified that their case was too minor to be investigated.c. Cases were closed even though they remained unsolved.d. Victims were not notified even when their cases were resolved. 6. A family's income amount is $25,000. They budget out of their income:Food: 20%Shelter: 25%Clothing: 15%How much money is allotted for each of these items?FoodShelterClothing What theme did the artist of the above image usually include in his work? a. the food industry b. candy c. any images in threes d. all of the above Please select the best answer from the choices provided A B C D Which one of the following is an example of close substitute?A. Tea and CoffeeB. Milk and waterC. Bread and ButterD. Pen and pencil Read the following excerpts about Britain during the Industrial Revolution, and then, in a two-paragraph response, synthesize an explanation of some of the effects of the Industrial Revolution on the people of Britain, using all three of the excerpts. Then explain how each source could be used to write a historical argument, noting each source's strengths and weaknesses as historical evidence. A car starts from an initial velocity of 10 m/s and accelerates at 2.5 m/s^2. How long will it take the car to reach a speed of 40 m/s? How far does the car travel during this time? 0.50 moles of gas take up 10.5 Lof space under constant pressureand temperature conditions.What volume is required to hold2.0 moles of the gas? what is the tension in the chain (for the same angle) helping people gain insight into the unconscious origins of their disorder is a central aim of group of answer choices a) cognitive therapies. b) systematic desensitization. c) a token economy. d) psychoanalysis D question 1 what is the setting at the beginning of the novel, in chapter 1 of a long way gone? o liberia o nigeria new york city o sierra leone