Recall the portion of the video in which the girl pushes her brother on the sled at constant velocity. The pushing force she exerts on the sled is _____ the frictional force the ground exerts on the sled. Recall the portion of the video in which the girl pushes her brother on the sled at constant velocity. The pushing force she exerts on the sled is _____ the frictional force the ground exerts on the sled.
a)less than
b)equal to
c)greater than

The normal component of acceleration may be negative in the motion of curved particles.

The normal component of acceleration may be negative in the motion of curved particles. The component of acceleration that is normal to the motion path's tangent and pointed in the direction of the path's centre of curvature is known as the normal component of acceleration. The normal component of acceleration will be negative if the particle is going along a curved path and its speed is decreasing since it is directed in the opposite direction from the direction the particle is moving. Depending on the particle's motion and the direction of the tangent to the path at any given location, the tangential component of velocity and acceleration may potentially be negative.

Learn more about tangential here:

https://brainly.com/question/29860420

#SPJ4

Compared to autarky, the gain in world production from specialization is 40 bushels of peaches  Compared to autarky, the gain in world production from specialization is 80 bushels of tomatoes.

Specialization is the process of focusing a person's skills and resources on a particular area of knowledge or activity. It is a form of division of labor that involves the development of expertise in a particular field, allowing for greater efficiency and productivity in that field. Specialization can involve any number of areas, including academic disciplines, occupations, industries, and activities. Specialization can involve focusing on a specific aspect of a field or a combination of several areas. For example, a doctor may specialize in a particular medical field, or an engineer may specialize in a particular type of engineering. Specialization can also involve the development of skills in an area of expertise, such as programming or marketing.

To learn more about specialization

https://brainly.com/question/30279844

#SPJ1

(a) The poles and zero of G(s) are -1, 3, and -10, and the system is stable. (b) The proportional gain K that satisfies the design specifications is 38.1 using the root locus tool in MATLAB. (c) The closed loop transfer function with K = 38.1 is determined and the estimated rise time and percent overshoot are 0.208 seconds and 12.2%.

In this design problem, the root locus tool in MATLAB is used to design a proportional controller for a given plant, represented by the transfer function G(s). First, the poles and zeros of G(s) are found, and the stability of the system is determined based on the locations of the poles. Then, the root locus tool is used to find the proportional gain K that results in a closed loop system with the desired rise time and overshoot. Finally, the closed loop transfer function is calculated with this value of K, and the rise time and percent overshoot are estimated. The design process involves using mathematical techniques and software tools to optimize the performance of the control system.

Learn more about MATLAB here: brainly.com/question/29851173

#SPJ4

True. The larynx and nose both help humidify, filter, and warm air that enters the lungs. The nasal cavity and its hairs help filter out large particles and debris, while the moist mucous membranes within the nose help to humidify the air. Similarly, the larynx helps to warm the air as it passes through on its way to the lungs. These processes help to protect the delicate tissues of the lungs and prevent irritation or damage.

The pressure of the gas is 0.018 atm if the gas obeys the ideal gas law where a container with volume 1.69 l is initially evacuated.

What is the reason for this?

We know that;

√ 3RT/M

For N2;

vrms =  192 m/s

R = 8.314 J/K.mol

T = ?

M = 28 g/mol or 0.028 Kg/mol

So;

T =  vrms² M/ 3R

Temperature, T =  192² * 0.028 / 3* 8.314

T = 41.3K

From PV = nRT

n = 0.246 g/28 g/mol which can lead to 0.0087 moles

P = nRT/V

P =  0.0087 moles × 0.082 atmLK-1mol-1  ×  41.3K/1.61 L

P = 0.018 atm

Therefore, the pressure of gas is 0.018 atm.

Learn more about pressure:

brainly.com/question/30244346

#SPJ4

a container with volume 1.69 l is initially evacuated. then it is filled with 0.236 g of n2, the pressure is P = 1652 Pa

From the inquiry we are informed that

   The volume of the compartment is V = 1.83 L = [tex]183 * 10^{-3} m^{3}[/tex]

    The mass of [tex]N_{2}[/tex] is [tex]m_{n} = 0.246 g = 0.246 * 10^{-3} kg[/tex]

   The root-mean-square volume is v = 192 m/s

The root - mean square velocity is mathematically addressed as

[tex]v = \sqrt{3RT}/Mn[/tex]

Presently the ideal gas regulation is mathematically addressed as

 PV = nRT

=> RT = PV/n

Where n is the quantity of moles which is mathematically addressed as

n= mn/M

Where M is the molar mass of [tex]N_{2}[/tex]

So

             RT = [tex]PV /M_{n}[/tex]

=>         [tex]v = \sqrt{3^{ p* v*Mn/Mn } } /Mn[/tex]

=>         [tex]V = \sqrt{3 * P * V} / m_{n}[/tex]

=>         [tex]P = V^{2} * m_{n[/tex] / 3 * V

substituting values

   =>     [tex]P = (192)^{2} * 0.246 * 10^{-3} / 3 * 1.83 * 10^{-3}[/tex]

  =>      P  = 1652  Pa

to know more about molar mass click here:

https://brainly.com/question/837939

#SPJ4

A) The speed of the river is:  3.2 km/h

B) The canoe speed in still water for the same paddling effort is 6.4 km/h.

Speed is a term used to describe how rapidly something moves or a process takes place. It is a scalar quantity that represents the speed at which an item moves or changes position with respect to time. By dividing the distance traveled by the time needed to cover that distance, speed may be computed. Units like meters per second, miles per hour, or kilometers per hour are frequently used to measure it. Numerous industries, such as science, sports, transportation, and telecommunications, depending on speed. It is essential in determining the effectiveness and functionality of many systems, including those in cars, machinery, and computer networks.

distance = rate x time

to set up two equations, one for each leg of the journey:

Upstream leg: distance = (c - v) x 2.0 km + 1.0 km

Downstream leg: distance = (c + v) x t

where t is the time it takes to catch up with the bottle.

We know that the distance traveled on both legs is the same because the students end up where they started. So we can set the two equations equal to each other and solve for v:

(c - v) x 2.0 km + 1.0 km = (c + v) x t

Expanding and simplifying:

2c - 2v + 1 = ct + vt

2c + 1 = (c + v)t

t = (2c + 1)/(c + v)

Now we need to find t. We know that the distance the bottle traveled downstream is 4.7 km, and the time it took to get there is t:

4.7 km = v x t

t = 4.7/v

Setting the two expressions for t equal to each other and solving for v:

(2c + 1)/(c + v) = 4.7/v

2cv + v = 4.7(2c + 1)

2cv + v = 9.4c + 4.7

v(2c + 1) = 9.4c + 4.7

v = (9.4c + 4.7)/(2c + 1)

This is our formula for the speed of the river in terms of the speed of the canoe in still water. Now we can solve for c by setting the canoe speed in still water equal to the relative speed upstream:

c - v = (1.0 km)/(2.0 h) = 0.5 km/h

c - (9.4c + 4.7)/(2c + 1) = 0.5 km/h

Simplifying and solving for c:

c = 5.7 km/h

So the speed of the river is:

v = (9.4c + 4.7)/(2c + 1) = 3.2 km/h

To find the canoe speed in still water for the same paddling effort, we can use the formula:

paddling effort = 2v = 2(c - v)

Setting v = 3.2 km/h and solving for c:

2(3.2) = 2(c - 3.2)

6.4 = 2c - 6.4

2c = 12.8

c = 6.4 km/h

So the canoe speed in still water for the same paddling effort is 6.4 km/h.

To know more about speed, check out:

https://brainly.com/question/13262646

#SPJ4

The bicycle traveled 29.4 meters over the 4-second interval after hitting the headwind.

To solve the problem, we can use the equation: Δx = vit + (1/2)at², where Δx is the distance traveled, vi is the initial velocity, a is the acceleration, and t is the time interval.

First, we need to convert the velocities to meters per second (m/s). 30 km/h = 8.33 m/s and 13 km/h = 3.61 m/s.

Next, we can calculate the acceleration using the equation: a = (vf - vi) / t, where vf is the final velocity.

a = (3.61 m/s - 8.33 m/s) / 4 s = -1.18 m/s² (negative because it is decelerating)

Now, we can use the equation above to find the distance traveled:

Δx = (8.33 m/s)(4 s) + (1/2)(-1.18 m/s²)(4 s)² = 29.4 meters.

Therefore, the bicycle traveled 29.4 meters over the 4-second interval after hitting the headwind.

For more questions like Bicycle click the link below:

https://brainly.com/question/29229944

#SPJ4

A car with mass m has a momentum of magnitude p. The kinetic energy, KE, of the car in terms of m and p can be represented as E = p²/2m.

In contrast to momentum, which is an object's mass in motion, kinetic energy is the energy that any substance has as it accelerates. The relationship between kinetic energy and momentum exists because of how they relate to mass and velocity.

Kinetic energy and momentum are sometimes confused. Although they are both correlated with an object's mass and velocity (or speed), momentum is a vector number that indicates how much mass is moving. Kinetic energy is a scalar quantity that represents the energy of motion in an object.

To learn more about momentum visit:

brainly.com/question/2193212

#SPJ1

The first Cricket World Cup was played during 1975 in England. The first three matches were also recognized as Prudential Cup with the sponsorship of prudential plc, it is a pecuniary services company.

The cricket matches consisted of 60 overs per players and it was played with established white uniform and with red balls. There were matches held only during day and the event is held ever four years.

Till the 1992 Cricket World Cup, only 8 teams participated in the Cricket tournament. Later on, the numbers of teams were certainly increased and in Cricket World Cup 2007, 16

The Cricket World Cup: A Spectacular Event for Fans Worldwide

Cricket, one of the most popular sports in the world, is celebrated every four years with the Cricket World Cup. This tournament is organized by the International Cricket Council (ICC), and it brings together the world's top cricket teams to compete for the ultimate prize: the World Cup trophy.

The Cricket World Cup is an exciting event for fans worldwide, and it draws millions of viewers and spectators to its matches. The tournament has a rich history, dating back to its first edition in 1975, which was hosted by England. Since then, the tournament has been held in different countries around the world, such as India, Australia, South Africa, and the West Indies.

The Cricket World Cup is a highly competitive event, and only the top cricket teams in the world are invited to participate. Each team consists of eleven players, and they compete in a round-robin format, where they play against each other in a series of matches. The top teams then advance to the knockout stage, where they compete in semi-finals and a final to determine the winner of the tournament.

One of the most exciting aspects of the Cricket World Cup is the unpredictability of the matches. With so many talented teams and players, any team can win on a given day, and the tournament has seen its fair share of upsets and surprises over the years. The tournament also showcases the best talent in the sport, and fans get to witness some of the most thrilling and awe-inspiring moments in cricket.

The Cricket World Cup is not only a major event for fans worldwide, but it is also an opportunity for countries to showcase their hosting capabilities. The tournament brings a significant economic boost to the host country, as it attracts tourists, generates revenue for local businesses, and creates jobs for local communities. Moreover, the tournament provides a platform for cultural exchange, as fans from different countries come together to celebrate their love for cricket.

In conclusion, the Cricket World Cup is a spectacular event that brings together the world's top cricket teams to compete for the ultimate prize. It is an exciting time for fans worldwide, as they get to witness some of the best talent in the sport and enjoy the thrills and excitement of the matches. The tournament is also a great opportunity for countries to showcase their hosting capabilities and create economic opportunities for their local communities. The Cricket World Cup is a must-see event for all cricket fans, and it is sure to continue captivating audiences for years to come.

The Road to the Cricket World Cup: Preparations and Expectations

The Cricket World Cup is the pinnacle of cricketing excellence, and for teams worldwide, it is a coveted prize that they aspire to win. The road to the World Cup is a long and arduous one, as teams must compete in qualifying tournaments to earn their place in the tournament. Once they have qualified, they must then prepare themselves both mentally and physically for the grueling competition ahead.

Preparations for the Cricket World Cup typically begin months in advance, as teams start to plan their training and match schedules. Teams must ensure that their players are in peak physical condition, as the tournament is highly demanding and requires players to be at their best. They also need to work on their tactics and strategies, as they must find ways to outsmart their opponents and come out on top.

The expectations are high for teams that participate in the Cricket World Cup, as they are representing their country and the hopes and dreams of their fans. For some teams, winning the tournament is their primary goal, and they will do whatever it takes to achieve it. For other teams, simply making it to the knockout stage is a significant achievement and a source of pride.

One of the most exciting aspects of the Cricket World Cup is the variety of playing styles

1a) The average acceleration of the motorcycle can be calculated using the equation:

average acceleration = change in velocity / time interval

average acceleration = 26 m/s / 3.55 s ≈ 7.32 m/s²

Therefore, the average acceleration of the motorcycle is approximately 7.32 meters per second squared.

1b) The distance traveled by the motorcycle can be calculated using the equation:

distance = initial velocity x time interval + (1/2) x average acceleration x (time interval)²

distance = 0 m/s x 3.55 s + (1/2) x 7.32 m/s² x (3.55 s)² ≈ 46.6 m

Therefore, the motorcycle travels approximately 46.6 meters during the given time interval.

2a) The final velocity of the fireworks shell is 62 m/s, and the initial velocity is 0 m/s. The distance traveled is 2 m. We can use the equation:

final velocity² = initial velocity² + 2 x acceleration x distance

to find the acceleration of the shell. Rearranging the equation, we get:

acceleration = (final velocity² - initial velocity²) / (2 x distance)

acceleration = (62 m/s)² / (2 x 2 m) ≈ 961.25 m/s²

Therefore, the acceleration of the shell is approximately 961.25 meters per second squared.

2b) We can also find the time taken for the acceleration using the equation:

final velocity = initial velocity + acceleration x time interval

time interval = (final velocity - initial velocity) / acceleration

time interval = 62 m/s / 961.25 m/s² ≈ 0.0645 s

Therefore, the acceleration lasts approximately 0.0645 seconds.

To know more about average acceleration , check out :

https://brainly.com/question/104491

#SPJ4

In physics and engineering, stress refers to the internal force per unit area that a material experiences when subjected to an external force. When a force is applied to a material, the material undergoes deformation, or a change in shape. The stress describes the intensity of the internal forces that arise due to the deformation of the material.

There are different types of stress, such as tensile stress (stretching), compressive stress (squeezing), shear stress (sliding), and torsional stress (twisting). The critical stress for a material depends on the type and magnitude of the force applied, as well as the material properties such as its ultimate strength and stiffness. When the stress exceeds the critical value, the material can undergo plastic deformation or fracture.

To know more about stress, visit:

https://brainly.com/question/13323387

#SPJ4

Protons are located in the nucleus of an atom with a positive charge, and they have a mass of approximately 1 atomic mass unit (amu) and every atom is made up of the electron, proton, and neutron.

A proton's mass is about 1,836 times greater than that of an electron, and these protons are affected by the strong nuclear force and they can be changed into neutrons through a process called beta decay.

Hence, protons are located in the nucleus of an atom with a positive charge, and they have a mass of approximately 1 atomic mass unit (amu) and every atom is made up of the electron, proton, and neutron.

Learn more about the protons in an atom here.

https://brainly.com/question/13364942

#SPJ9

The question is incomplete, the complete and correct question is below,

Describe protons Location: Charge: Mass: ?

The required spring constant is 2915.52 Nm in order to stop the package at 6 inches from the point of contact.

The ratio of the normal force Ff/N to the kinetic friction force (F) between the surfaces in contact during motion is known as the coefficient of kinetic friction. The surfaces in contact affect both the static and kinetic coefficients of friction. Experimental data is used to determine their values. The package slides down the ramp and weighs 50 pounds (22.67 kg). The spring prevents it from moving.

In order to write the relation, the potential energy of the spring must match the potential energy of the package.

1/2kx² = mgx

where m is the package's mass, g is gravity, h is the height at which the item is topped, making it equal to the question's specified 6 inches (0.1524 m), and k is the spring constant. Hence, placing all values in standard form.

0.5(K)(0.1524)(0.1524) = 22.67(9.8)(0.1524)

K = 2915.56 N-m

Hence, 2915.56 N-m is the needed spring constant.

To know more about friction

https://brainly.com/question/28356847

#SPJ4

Answer:

M1 L1 T-1

Therefore, linear momentum is dimensionally represented as [M1 L1 T-1].

Pluto can travel up to 49.3 arcseconds (AU) from the Sun and as little as 30 AU on its 248-year-long, oval-shaped orbit. (The average distance of the Sun and Earth is one AU.

Gravity ellipticals, the biggest and most uncommon of these, measure around 300,000 light-years across. These are thought to be the result of the merging of smaller galaxies, according to astronomers. Dwarf treadmills, that are just a few hundred luminous wide, are much more prevalent.

Mercury, the smallest place on the planet, and Jupiter, the largest planet, offer numerous hints about how our solar system formed, its geochemical variability, and the origins of life.

To know more about Gravity visit :

https://brainly.com/question/1832350

#SPJ4

Here is the plausible solution to this question:

1. Mercury travels through a whole cycle of phases.

2. Moon rises in the east and sets in the west.

3. Stars travel around the north or south celestial poles every day.

4. Every year, the locations of neighboring stars gently oscillate back and forth.

5. Each day, a far-off galaxy rises in the east and sets in the west.

6. Beyond Saturn, a planet rises in the west and sets in the east.

7. On sometimes, Jupiter appears like a crescent.

Jupiter is the sixth planet from the Sun and the largest in the Solar System. It is a gas giant with a mass that is slightly less than one thousandth that of the Sun and more than 2.5 times that of all the other planets in the Solar System put together.

As far as we can tell, Jupiter cannot host life. However, some of Jupiter's moons may harbor life in the oceans that lie beneath their surfaces.

Learn more about Jupiter here brainly.com/question/20979520

#SPJ4

The non-current liability is mortgage payable due in 20 years. Option c is the correct answer.

A liability is a debt or obligation that a company owes to another party. Current liabilities are those that are due within one year, while non-current liabilities are those that are due beyond one year.

a. is a current liability because it is due within one year.

b. is not a liability. It represents ownership in the company and does not have a due date or obligation to pay.

c. mortgage payable due in 20 years is a non-current liability because it is due beyond one year.

d. accounts payable is a current liability because it represents the amount a company owes to its suppliers that have been purchased on credit and are due to be paid.

To know more about the non-current liability, here

brainly.com/question/29352116

#SPJ4

As soon as the ball hits its highest point, it accelerates in the same direction as its downward velocity.

If the ball's velocity and acceleration are moving in the same direction, the ball is moving faster.

The direction of the ball's acceleration is initially downward (in the opposite direction of its velocity) due to the force of gravity, assuming the ball was thrown uphill and is travelling upward. The speed of the ball decreases owing to gravity as it rises until it reaches its highest point, where it temporarily stops moving.

The direction of the ball's velocity is now downward, and the direction of its acceleration is also downward as it comes back down (in the same direction as its velocity). This happens as a result of the ball falling faster and faster as it approaches the ground due to gravity.

Learn more about accelerates here:

https://brainly.com/question/12550364

#SPJ4

According to the statement, the weight of the iron rod is 55.7 N.

The problem involves the calculation of the weight of a cylindrical iron rod given its density, length, and diameter.

The weight of an object is defined as the force acting on an object due to gravity, and it is calculated as the product of the object's mass and the acceleration due to gravity (w = mg).

To calculate the mass of the iron rod, we first need to calculate its volume using the formula for the volume of a cylinder (V = πr²h), where r is the radius, and h is the height or length of the cylinder.

Given the diameter of the cylinder is 2.70 cm, the radius can be calculated as 1.35 cm. The length of the cylinder is given as 80.1 cm. Using these values, we can calculate the volume of the cylinder as 729.57 cubic centimeters (cm³).

Since the density of the iron is given as 7800 kg/m³, we need to convert the volume from cubic centimeters to cubic meters, which gives us a value of 0.00072957 cubic meters (m³).

We can now calculate the mass of the iron rod by multiplying the density and volume, which gives us a value of 5.681 kg.

Finally, we can calculate the weight of the iron rod by multiplying the mass and acceleration due to gravity, which is 9.80 m/s². This gives us a value of 55.7 newtons (N).

In summary, to calculate the weight of an object, we need to first calculate its mass by using the appropriate formula and then multiply the mass with the acceleration due to gravity to obtain the weight.

Learn more about cylindrical iron rod:

https://brainly.com/question/24254580

#SPJ4

 (c) A car turns a corner at a constant speed then the car has an acceleration due to the changing direction

The acceleration of an object is a vector quantity. This means that when quoting, investigating, or applying the acceleration of an object, we care as much about the magnitude/size of the acceleration as we do about the direction of the acceleration.

if a car turns a corner at constant speed, it is accelerating because its direction is changing. The quicker you turn, the greater the acceleration. So there is an acceleration when velocity changes either in magnitude (an increase or decrease in speed) or in direction, or both.  When a car round a corner at a constant speed, the direction of the car changes. For there to be a non-zero acceleration, the speed and/or the direction have to change.

Learn more about constant speed here:

https://brainly.com/question/30151073

#SPJ4

The magnitude of velocity of the car just before it reaches point C is 24.999 m/s. The magnitude of acceleration of the car just before it reaches point C is 0.001 m/s2.

The formula for the relationship between velocity, initial velocity, acceleration, and time is:

v = u + at

Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

In this case, the car is just starting to slow down at point C, so its initial velocity is 0 m/s, which means u = 0.

Therefore, the formula becomes:

v = 0 + at

or simply:

v = at

We are given that the magnitude of velocity of the car just before it reaches point C is 24.999 m/s, which means that v = 24.999 m/s.

Substituting this value into the formula, we get:

24.999 = at

We are also given that the magnitude of acceleration of the car just before it reaches point C is 0.001 m/s2, which means that a = 0.001 m/s2.

Substituting this value into the formula, we get:

24.999 = 0.001t

To solve for t, we can rearrange the formula:

t = 24.999 / 0.001

Simplifying, we get:

t = 24999 s

Therefore, it takes 24999 seconds for the car to reach point C.

Learn more about the magnitude of acceleration of the car:

https://brainly.com/question/29205414

#SPJ4

Approximately 0.205 m away from the equilibrium position. After 1 second, the weight is still relatively far from its equilibrium position, and it will continue to oscillate back and forth until it eventually reaches its final position of equilibrium at 0.4 m below the point of release.

As the system can be modeled using the equation of motion for critically damped systems: [tex]x(t) = (A + Bt) e^(-kt/m)[/tex], where x(t) is the displacement of the weight from its equilibrium position at time t, k is the spring constant, m is the mass of the weight, and A and B are constants determined by the initial conditions.  This gives us x(1) = 0.195 m, which is approximately 0.205 m away from the equilibrium position.

To know more about Equilibrium position, here

https://brainly.com/question/29409724

#SPJ4

A coupler connects the fire hose's nozzle to the hose. The connection is in tension or compression while the fire hose is in use, the hose is in use with water flowing through it, and the hose is motionless. Here options B or C are the correct answer.

The nozzle on a fire hose is connected to the hose via a coupling, which is designed to securely fasten the nozzle to the hose. When the hose is in use, water flows through it and exerts a force on the nozzle, which in turn exerts a force on the coupling.

Since the coupling is not free to move and is fixed in place, it experiences a reaction force from the hose and nozzle system. This reaction force can be either in tension or compression depending on the configuration of the hose and nozzle.

If the nozzle is directing water away from the coupling, the reaction force will be in tension, meaning that the coupling will be pulled in opposite directions at its ends. On the other hand, if the nozzle is directing water towards the coupling, the reaction force will be in compression, meaning that the coupling will be compressed inwards.

To learn more about nozzle

https://brainly.com/question/23265263

#SPJ4

Two identical freight cars roll without friction (one at 1 m/s, the other at 2 m/s) toward one another on a level track, the faster car was initially going, So, option (b) is correct.

What is friction ?

The force produced when two surfaces slide against and touch each other is known as frictional force. Several aspects that influence the frictional force include: The surface texture and the amount of force attracting them together have the most effects on these forces.

What is force ?

A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.

Therefore, Two identical freight cars roll without friction (one at 1 m/s, the other at 2 m/s) toward one another on a level track, the faster car was initially going, So, option (b) is correct.

Learn more about friction from the given link.

https://brainly.com/question/24338873

#SPJ1

The average acceleration of the car is (Vox + V1x)/2 i + V1y/At j. The magnitude of the car's acceleration during the given time period is approximately 2.48 m/s².

The vector expression for the average acceleration of the car during the given time period is:

aave = ((Vox + V1x)/2)i + (V1y/At)j

where Vox is the initial velocity in the x-direction, V1x is the final velocity in the x-direction, V1y is the final velocity in the y-direction, At is the time interval during which the velocity changes, and i and j are unit vectors in the x and y directions, respectively.

To find the magnitude of the car's acceleration during the time period, we first need to find the change in velocity in both the x and y directions:

ΔVx = V1x - Vox = 37 m/s - 39 m/s = -2 m/s
ΔVy = V1y - 0 = 4.1 m/s

The time interval during which the velocity changes is given as At = 2.9 s. Therefore, the magnitude of the car's acceleration during the time period is:

|aave| = |ΔV|/At = √(ΔVx² + ΔVy²)/At

Substituting the values, we get:

|aave| = √((-2 m/s)² + (4.1 m/s)²)/(2.9 s) ≈ 2.48 m/s²

Therefore, the magnitude of the car's acceleration during the time period in question is approximately 2.48 m/s².

Learn more about magnitude here: brainly.com/question/30033702

#SPJ4

Complete question is in the image attached

The relative speed has to do with two objects in relation to each other.

Your question is incomplete but it seems to have something to do with the relative speed.

Relative speed is the speed of an object or observer with respect to another object or observer. It is the difference between the speeds of the two objects or observers, taking into account their directions of motion.

In other words, it is the speed of one object or observer as measured by another object or observer that is itself in motion. For example, if two cars are traveling in the same direction at different speeds, their relative speed is the difference between their speeds.

Learn more about relative speed:https://brainly.com/question/14362959

#SPJ1

The rock's velocity as it hits the bottom of the hole is approximately 27.5 m/s and the rock is in the air for approximately 8.98 seconds.

a) The final velocity of the rock as it hits the bottom of the hole can be found using the kinematic equation vf^2 = vi^2 + 2ad, where vf is the final velocity, vi is the initial velocity, a is the acceleration due to gravity (-9.8 m/s^2), and d is the distance the rock falls (14 m). We know that vi = 22 m/s and d = -14 m (since the rock falls downward), so:

vf^2 = (22 m/s)^2 + 2(-9.8 m/s^2)(-14 m)

vf^2 = 484 + 274.4

vf^2 = 758.4

vf = sqrt(758.4)

vf ≈ 27.5 m/s

Therefore, the rock's velocity as it hits the bottom of the hole is approximately 27.5 m/s.

b) The time the rock is in the air can be found using the kinematic equation

d = vit + (1/2)at^2

where d is the distance the rock travels (which is equal to the height it was thrown from), vi is the initial velocity, a is the acceleration due to gravity (-9.8 m/s^2), and t is the time the rock is in the air. We know that d = vi*t + (1/2)at^2 and that d = 0 (since the rock returns to its starting height), so:

0 = (22 m/s)t + (1/2)(-9.8 m/s^2)t^2

0 = 22t - 4.9t^2

t(4.9t - 22) = 0

Therefore, t = 0 s or t = 4.49 s (rounded to three significant figures). Since the rock was released and then caught, we are interested in the time it takes for the rock to go up and then come back down, so the total time the rock is in the air is twice the time it takes for it to go up:

t_total = 2*t

t_total ≈ 8.98 s

Therefore, the rock is in the air for approximately 8.98 seconds.

For more questions like Rock click the link below:

https://brainly.com/question/15058700

#SPJ4

The electric field between the plates of a parallel plate capacitor is given by:

E = σ / ε_0

Therefore, the magnitude of the electric field between the plates is:

E = σ / ε_0

To know more about electric field , check out :

https://brainly.com/question/14372859

#SPJ4

The Moon half moon is not a phase of moon. Option d is correct answer.

The phases of the moon are determined by the relative positions of the moon, Earth, and the sun, as seen from Earth. The new moon occurs when the moon is between the Earth and the sun, and its dark side is facing Earth.

The full moon occurs when the Earth is between the moon and the sun, and the entire illuminated side of the moon is visible from Earth. The first-quarter and third-quarter moons occur when the moon is at a 90-degree angle with respect to the Earth and the sun. Therefore, moon half moon is not a phase of the moon.

To know more about the phase of the moon, here

brainly.com/question/2285324

#SPJ4

--The complete question is, Which of the following is not a phase of the moon?

a. new moon

b. full moon

c. third-quarter

d. moon half moon

e. first-quarter moon--

The length at which the restoring force is 2F is given by the following expression:

[tex]x = (-2F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))[/tex]

The restoring force of a spring is proportional to its displacement from its unstretched length, according to Hooke's law:

F = -kx

where F is the restoring force, k is the spring constant, and x is the displacement from the unstretched length.

If we know the restoring force F when the spring is stretched to a length of 13 cm, we can find the spring constant k:

[tex]F = -k * (13 cm - 10 cm)\\k = F / (13 cm - 10 cm)[/tex]

Next, we can find the displacement that gives a restoring force of 3F:

[tex]3F = -k * (x - 10 cm)\\3F = -k * x + k * 10 cm\\-3F = k * x - k * 10 cm\\-3F + k * 10 cm = k * x\\x = (-3F + k * 10 cm) / k[/tex]

Substituting the value of k, we get:

[tex]x = (-3F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))[/tex]

So, the length of the spring for which its restoring force is 3F is given by the above expression.

b. To find the length at which the restoring force is 2F, we can use the same method as above and replace 3F with 2F:

[tex]2F = -k * (x - 10 cm)x = (-2F + k * 10 cm) / k[/tex]

Substituting the value of k, we get:

[tex]x = (-2F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))[/tex]

So, the length at which the restoring force is 2F is given by the above expression.

Learn more about restoring force, here:

https://brainly.com/question/12162527

#SPJ9