Assume |g| = 10 m/s^2

Answer:

The total momentum before the collision is 6 kg m/s (2 kg x 3 m/s).

The new momentum of the clay and bowling ball combination after the collision is 6 kg m/s (2 kg + 10 kg x 3 m/s / (2 kg + 10 kg) = 6 kg m/s). According to the law of conservation of momentum, the total momentum of a closed system must remain constant, so the total momentum before and after the collision must be the same.

The speed of cart A after the spring is released is :  (4) 2.6 m/s.

It states that the total momentum of a closed system remains constant if no external forces act on it.

We know that total initial momentum is zero, as carts are at rest before the spring is released.

Let final momentum of cart A be pA and the final momentum of cart B be pB.

Given, mass of cart A is 7.0 kg,  mass of cart B is 3.0 kg, and velocity of cart B is 6.0 m/s after spring is released.

As the total momentum of the system must remain constant, we write;

pA + pB = 0

mAvA + mBvB = 0

7.0A + 3.0(6.0) = 0

A = -3.0*6.0/7.0

= -2.6 m/s

Negative sign means that it's moving in the opposite direction of cart B.

To know more about conservation of momentum, refer

https://brainly.com/question/22257327

#SPJ4

The dependent variable in this scenario is the annual income and the amount of student loan debt of the student. The independent variables are the level of education and gender of the student, and the annual income of the student's parents.

The dependent variable is the variable that the research aims to investigate or measure. In this case, the dependent variable is the annual income and the amount of student loan debt of the student. The research aims to understand how the level of education and gender of the student impact their annual income and student loan debt.

Therefore, the research aims to investigate the relationship between the student's level of education and gender with their annual income and amount of student loan debt, while taking into account the annual income of the student's parents as a potential confounding variable.

Learn more about dependent variable from

https://brainly.com/question/383055

#SPJ1

Option C is the right response because the momentum was the same prior to and following the impact. Imagine a scenario where a laboratory cart that weighs 1 kg and is travelling straight east at a speed of 0.50 m/s

Collides with another cart that is originally at rest and is carrying a comparable weight. This demonstrates the conservation of momentum. Is the momentum constant prior to and following the collision, In physics, an elastic collision is a collision between two bodies in which the total kinetic energy remains constant. In an ideal, elastic collision, there is no net conversion of kinetic energy into heat, noise, or potential energy. The definition of momentum is mass in motion.

Learn more about momentum here

https://brainly.com/question/24030570

#SPJ4

Answer: E. is zero

Explanation: According to Newton's first law of motion, any object moving at constant velocity has no net external force acting upon it, which means that the sum of the forces acting on the object must be zero. Given that the car is maintaining a constant velocity, we can say that there is no net force acting on the car.

The object will be moving faster if the acceleration and velocity are pointing in the same direction. The object will also slow down if the acceleration is pointing in the reverse direction as the velocity.

Velocity is the pace and direction about an object's movement, while speed is the tracking at which a object is travelling along a path. To put it another way, velocity is a vector, whereas speed is a scalar value.

Simply said, velocity is the rate of movement in a specific direction. such as the velocity of a car driving north on even a highway or the pace at which a rocket takes off. Since the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

To know more about velocity visit:

https://brainly.com/question/18084516

#SPJ4

The velocity of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently.

The competitiveness of an organization is achieved in conjunction with various organizational actions, such as its strategy and management. Some of the most essential characteristics to achieve competitive advantages are through innovation, quality of products and services, and organizational ethics.  With the increase in competitiveness in the globalized environment, companies need to stand out in several areas, therefore, several projects are implemented simultaneously, requiring management Task delegation, Focus and consistency, Cooperation, Task prioritization, Use of resources and information systems, Communication developed and Feedback, etc. Therefore, to remain competitive, a company must be innovative and offer value to its stakeholders through joint efforts.

For further details about competitive advantage, refer to the link:

https://brainly.com/question/26514848

#SPJ4

An object of interest is sketched in a free-body diagram, with all of its surroundings removed and all of the forces operating on the body clearly visible.

In order to visualize all the forces acting on a single item, a free-body diagram must be drawn. This is a crucial stage in the solution of mechanics issues. The simplified representations of an item (the body) and the force vectors acting on it in a problem are called free body diagrams, or FBDs. This body is unencumbered by its surrounds because the diagram will portray it that way; it is thus said to be "free." Using free-body diagrams, you may compute reactions in mechanics issues and depict the forces and moments acting on a body.

Learn more about free-body diagram here:-

brainly.com/question/30306775

#SPJ4

The complete question is:

Please use the interactive area below to recreate the Free Body Diagram (See. Pic 3) from the video. The video shows the case where a man is pulling the crate and where friction is involved. You can pause the video around 1 min and 35 seconds in to see the correct FBD.

Let X be a random variable that represents the weight of a single Grade A egg chosen at random. for the empty cardboard candy cane box weights, which had a mean of 22 grammes and a standard deviation

I What does X mean?

The expected value properties show that E(W) = E(P)+ E(X1) + + E(X12) This results in E(W) = E(P) + 12 E since the mean weight of all 12 eggs is the same (X;). In light of the information that E(W) = 840 and E(P) = 20, we can use the equation 840 = 20 + 12 E(X;) to determine E(X;) 840-20 12 68.33 grammes.

Secondly, what is X's standard deviation?

Properties of variance prove that Var (W) = Var (P) + Var (X1) + Var (X2) +... + Var due to independence (X12).

This equals Var(W) Var(P) + 12 x Var since the variance of the weights of all 12 eggs is the same (X;).

SD (W) was given a value of 7.9 and SD (P) a value of 1.7. Var (W) = 7.92 = 62.41, and Var (P) = 1.722 = 2.89, as a result.

Var (X,) = = SD(X)=(496)2.23 grammes may be obtained by solving 62.41 = 2.89 + 12 x Var(X,).

Learn more about Standard deviation here:

https://brainly.com/question/30217035

#SPJ4

The slant height for the given cone. Round to the nearest tenth. The slant height is 9.8 cm, and the slant height is 11.4 cm.

1) The slant height = 9.8 cm

2) The slant height = 11.4 cm

1) The slant height of the cone = √[(radius)² + (height)²]

Diameter = 8 cm

Radius = 4 cm

Height = 9 cm

Slant height = √(4² + 9²) = √97 = 9.8 cm.

2)The slant height of the cone = √[(radius)² + (height)²]

Diameter = 18 cm

Radius = 9 cm

Height = 7 cm

Slant height = √(9² + 7²) = √130 = 11.4 cm.

The slant height of a pyramid or cone is a critical property. It essentially measures the height of the apex, but along the slant of one of the lateral faces.

Unless the cone is a right circular cone or a right regular polygonal pyramid, the slant height will not be consistent from place to place, making it ineffective. As a result, I'll stick to the right circular cones, the right regular polygonal pyramids, and other right cones with simple bases over here.

The slant height is the shortest possible distance along the solid's surface from the base to the apex. It is usually denoted by either s or l.

Learn more about slant height here:

https://brainly.com/question/23838188

#SPJ4

The approximate total distance Earth has traveled since its birth exists[tex]$3.8 \times 10^{21} \mathrm{~m}$[/tex].

The simplest types of orbits in celestial mechanics are circular orbits, in which an orbiting body moves around a gravitational mass while maintaining a constant radius.

The Earth orbits the Sun in a circle with radius r, and one full rotation takes one year. Thus in a year it travels a distance equal to [tex]$2 \pi r$[/tex], which exists the circumference of the Earth's orbit.

Therefore in n years that have elapsed, it would travel a distance d given by, [tex]$d=2 \pi r n$[/tex]

Substitute 3.14 for [tex]$\pi, 1.5 \times 10^{11} \mathrm{~m}$[/tex] for r and [tex]$4 \times 10^9$[/tex] for n.

Let the equation be

[tex]$$\begin{aligned}& d=2 \pi r n \\& =2(3.14)\left(1.5 * 10^{11} \mathrm{~m}\right)\left(4 * 10^9\right) \\& =3.768 * 10^{21} \mathrm{~m}=3.8 * 10^{21} \mathrm{~m}\end{aligned}$$[/tex]

Therefore, the approximate total distance Earth has traveled since its birth is [tex]$3.8 \times 10^{21} \mathrm{~m}$[/tex].

The complete question is:

Taking the age of Earth to be about 4×10^9 years and assuming its orbital radius of 1.5 ×10^11 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).

To learn more about circular orbit refer to:

https://brainly.com/question/4279389

#SPJ1

Answer:

120 Joules

Explanation:

The work is done if a force of 20 N is used to move an object 6 meters is 120 Joules.

Electric field is a vector and it is the force experienced by unit positive charge free  move acceleration electric field. 2) Because the electrostatic attraction is quantized, it found in specific regions of space.

The correct answer is B

The route of a particle in an electric field is not along the field lines. It indicates the force, and consequently the acceleration, at each place. A particle's direction of motion is determined by its velocity. Acceleration and velocity don't always point in the exact same direction.

Electric field is a vector and it is the force experienced by unit positive charge free to move inside an electric field.

The direction of electric field is away from positive charge and towords for negative charge.

The direction of electric field is in the directioon of unit positive charge free to move.

Result for an image The pathways of particles are represented by electric field lines. Electric field lines provide details on the strength and direction of an electromagnetic current in a given area of space. If the lines coincidentally cross at.

(1) Therefore electric field lines represents path of charged particle Therefore the given ststement is false.

(2) Electric field lines are conninous in space

Therefore the given ststement is false.

(3) The electric flux is the number of electric lines of force crossing

per unit area, that is density of field lines.

Thus the magnitude of electric field proportional to density of field lines Therefore the given statement is True.

(4) Electric field lines are imaginary curves around a unit positive charge and not real and not for the material objects.

Therefore the given statement is False.

Therefore out of above only true statement is (3).

To know more about acceleration visit:

https://brainly.com/question/12550364

#SPJ4

The correct question is

Several Things About Electric Fields And Field Lines. Which Of His Statements Is True? And Why several things about electric fields and field lines. Which of his statements is true? and why

1) Electric field lines represent the paths of particles.

2) The electric field is quantized and exists only in certain parts of space

3) The relative magnitude of the electric field is proportional to the density of the field lines

4) Electric field lines are material objects.

a) the magnitude of the force per unit length that one wire exerts on the other: 1.084 × 10⁻⁵ T

b) Force is repulsive in nature.

The surface magnetic field and Earth's magnetic field are roughly magnetic dipoles, with the magnetic field's S pole located close to the planet's geographic north pole  and the magnetic field's N pole located close to the planet's geographic south pole. The magnetic field, which is created by the movement of molten iron in the Earth's core, shields the globe from cosmic radiation and solar radiation as well as from charged particles. Furthermore, it offers the framework for compass navigation.

a)

Given that,

Two long parallel wires separated by 2.40 cm

The current in one wire 1.30 A

current in the other is 3.10 A

So, magnetic field due to I₁:  B₁ = {μ₀ I₁} / 2π(r/2)

B₁ = {12.57× 10⁻⁷ H/m (1.30 A)} / 2π(2.40 × 10⁻² m/2)

B₁ = 1.084 × 10⁻⁵ T

So, magnetic field due to I₁:  B₂ = {μ₀ I₂} / 2π(r/2)

B₂ = {12.57× 10⁻⁷ H/m (3.10 A)} / 2π(2.40 × 10⁻² m/2)

B₂ = 2.168 × 10⁻⁵ T

Thus, the net magnitude of magnetic field (B) = B₂ - B₁

or, B = 1.084 × 10⁻⁵ T

b)

Force is repulsive as currents are opposite in direction

To know more about Force refer to:

https://brainly.com/question/12970081

#SPJ4

Answer:

the answer is Number nine

If you drop another egg from the same height onto a pillow, it will not break (better get a grownup to help with this). The change in momentum of the egg is the same in both cases, but the time required is not.

The egg dropped on the floor comes to a halt very quickly, indicating that the force on the egg is great, and it breaks.

Momentum is a term that is frequently used in sports. A team with momentum is on the move and will take some effort to stop. A team with a lot of momentum is really on the move and will be difficult to stop. Momentum is a physics term that refers to an object's amount of motion. The momentum belongs to a moving sports team. If an object is in motion (moving), it has momentum.

Momentum is defined as "mass moving." Because all objects have mass, if an object moves, it has momentum - its mass is in motion.

Learn more about Momentum here:

https://brainly.com/question/29598011

#SPJ4

The boundaries between what is acceptable and unacceptable behavior are set by norms.

What are the rules of sports?

Norms establish the parameters for what is proper and improper conduct. The majority of teams do not establish a set of codified norms, even though team members frequently abide by standards. Teams may have norms for a range of difficulties.

Norms are a key idea in the social sciences. Most frequently, they are referred to as rules or expectations set by society. There are two types of norms: prescriptive (encouraging good behavior, like "be honest") and proscriptive (forbidding bad behavior, like "do not cheat").

Humans need norms to regulate their behavior, maintain predictability and stability in interpersonal interactions, and comprehend and make sense of one another's actions. These are some.

To learn more about norms refer to:

brainly.com/question/1278457

#SPJ1

The spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.

What is mass and calculation for above answer?

F = k x

The spring constant (k) can be calculated using Hooke's Law, which states that the force (F) exerted by a spring is equal to the spring constant multiplied by the amount of stretch or compression (x)

To learn more about mass refer:

brainly.com/question/19385703

#SPJ4

Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law.

To learn more about Ohm's Law refer to:

https://brainly.com/question/14296509

#SPJ1

Determine the strength absorbed as a consequence of time and the overall energy dissipated throughout the 10 s period if the element is an excellent damper with B=10N-s/m.

Velocity can be defined as the rate at which an object moves in a specific direction. as the velocity of a car driving northwest on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

Scalar quantities can be described by their size or magnitude alone and do not require any other information. Thus, examples of are 10 cm, 50 sec, 7 liters, and 3 kg.Scalar amounts. Both a size or quantity and a direction, referred to as the quantity's line of action, are characteristics of vector quantities.

To know more about magnitude visit :

https://brainly.com/question/29766788

#SPJ4

Answer:

More importantly where is the table?¿

The correct statement is : Magnetic fields must start at the north pole of a magnet and end at the south pole of a magnet.

To know more about magnetics visit:

https://brainly.com/question/12691714

#SPJ4

The centripetal acceleration of a point on the edge of the flywheel is 3.40 x 10^3 m/s^2.

What is centripetal acceleration?

Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is necessary to keep the object moving in a circular path.

To calculate the centripetal acceleration of a point on the edge of the flywheel, we can use the formula:

a = (v^2) / r

where a is the centripetal acceleration, v is the velocity of the point, and r is the radius of the flywheel.

First, we need to calculate the velocity of the point. We know that the flywheel is spinning at 1,953 RPM (revolutions per minute), so we can convert this to revolutions per second (RPS) by dividing by 60.

v = 1,953 RPM / 60 sec/min = 32.55 RPS

Next, we need to convert the diameter of the flywheel to radius by dividing by 2.

r = 30.7 cm / 2 = 15.35 cm = 0.1535 m

Now we can substitute these values into the formula to calculate the centripetal acceleration.

a = (v^2) / r = (32.55 RPS)^2 / 0.1535 m = 3.40 x 10^3 m/s^2

So the centripetal acceleration of a point on the edge of the flywheel is 3.40 x 10^3 m/s^2.

To learn more about centripetal acceleration:

https://brainly.com/question/19246433

#SPJ1

(a) The approximate sampling distribution of the sample variance, s2x, is a chi-squared distribution with n-1 degrees of freedom, where n is the sample size (in this case, 10).

To learn more about sampling distribution refer:

brainly.com/question/29090405

#SPJ4

In scenario a, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.

v = ν λ

v = Wave speed

λ = Wavelength

ν = Frequency

λ = 690.4 nm

Since the wave considered here is visible light,

v = c = 3 * 10⁸ m / s

ν = v / λ

ν = 3 * 10⁸ / 690.4 * 10⁻⁹ m

ν = 434.53 * 10¹² Hz

ν = 434.53 THz

E = h ν

E = Energy

h = Planck's constant

ν = Frequency

h = 6.626 * 10⁻³⁴ J s

E = 6.626 * 10⁻³⁴ * 434.53 * 10¹²

E = 2879.19 * 10²² J

E = 28.79 * 10²⁴ J

E = 28.79 YJ

Therefore, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.

To learn m,ore about wavelength refer

https://brainly.com/question/29081407

#SPJ4

The proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8

Let us represent phenotype in an organized way for ease of understanding.

Gamete  Ry          ry

RY          RRYy  RrYy

Ry          RRyy  Rryy

rY          rRYy  rrYy

ry          Rryy  rryy

First, let us discuss Yellow and Round seeds. From the data above, we can conclude that the Yellow and Round seeds are phenotypes that are dominant in nature. Therefore, we express them in Heterozygous state.

Now, let us discuss Green and wrinkled seeds. Green and wrinkled seeds are expressed in recessive homozygous state which can be found only in rryy.

So, the proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8

Learn more about phenotype here:

https://brainly.com/question/10799865

#SPJ4

The lapse rate is the rate at which an atmospheric variable, usually temperature, decreases with altitude. The temperature drops by 1 degree Celsius for every 165 metres of height gain. This is known as the usual lapse rate.

The tropospheric lapse rate is around 6.1 K/km in the Northern Hemisphere (NH) and over the ocean, and approximately 6.2 K/km over the continents. At low latitudes, the value of drops to 6.5 K/km at polar latitudes.

Temperatures in the atmosphere drop with height at a rate of 6,5°C (11,7 °F) every kilometre on average.

Learn more about tropospheric lapse rate

https://brainly.com/question/17372114

#SPJ4

The disadvantage of Hydroelectric power is that it can alter the ecosystems above and below the dam site.

The answer is option E.

Hydroelectric power is produced by making use of the gravitational force of falling water. Let's understand the process to learn about its disadvantages.

A dam is an essential component to this process that is constructed on a water source, like a river. It is an enormous wall that obstructs the flow of the river and collects water behind it.

There is an inlet close to the dam's base from which water is pumped into the structure. This intake results in a drop that enters the dam through the penstock. Here, a turbine is employed to harness the energy of the water falling. Turbines are also used in thermal power plants, although there are several key distinctions between steam turbines and hydro turbines. A shaft connects the generator with the turbine. Electricity is produced when the water turns the turbine.

New roads and electricity lines that disturb the environment and uproot people must be built in order to construct a dam. Additionally, reservoirs created by dams can flood wide regions and uproot natural ecosystems. Dams cause flooding, killing vegetation that rots and releases greenhouse gases. The migration of fish can also be severely impacted by blocking water flow.

Learn more about Hydroelectric power here:

https://brainly.com/question/15228003

#SPJ4

The point charges exert an attractive force of 16 N on each other. The charge obtained is Q₁ = 1.6 × 10⁻⁷ C and Q₂ = -1.6 × 10⁻⁷ C. The correct option is option (B).

Given force F = 16N

d = 3.0 mm = 3.0 × 10⁻³m

The force between the two charges is given by:

F = ( k × Q₁ × Q₂) ÷ d²

16 = ((9 × 10⁹) ÷ (3.0 × 10⁻³)) (Q₁ × Q₂)

(Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C²

Since, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² the force is attractive.

The charges must be of opposite signs.

Q₁ = 1.6 × 10⁻⁷ C

Q₂ = -1.6 × 10⁻⁷ C

Now,  (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² therefore, the correct option is option (B).

To know more about the charges:

https://brainly.com/question/28721069

#SPJ12