At a distance of 1 A.U., the earth takes one year to travel around the sun. How far away is a planet that takes eight years to go around the sun?

Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Answer:

Discovered by Sir Isaac Newton, this law states that every object in the universe that has mass attracts every other object in the universe that has mass. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between their centers. When applying this to a situation with two objects, the object with the smaller mass will do most of the moving because the other object has too much inertia to move any noticeable amount.

Explanation:

#PennFoster

Let after time "t" the Position of A and B are in such a way that A is heading to B and its velocity makes some angle with x axis

So the relative speed of A with respect to B in horizontal direction is given as

[tex]\frac{dx}{dt} = u - vcos\theta[/tex]

relative motion in y direction is given as

[tex]\frac{dy}{dt} = 0 - vsin\theta[/tex]

from first equation we can say

[tex]\int dx = \int u dt - \int vcos\theta dt[/tex]

[tex]0 = uT - v\int cos\theta dt[/tex]

[tex]\int cos\theta dt = \frac{uT}{v}[/tex]

now in the direction of approach of each other

[tex]\frac{dr}{dt} = ucos\theta - v[/tex]

[tex]\int dr = \int ucos\theta dt - \int vdt[/tex]

[tex]0 - d = u\int cos\theta dt - vT[/tex]

[tex]- d = u(\frac{uT}{v}) - vT[/tex]

[tex]T = \frac{vd}{v^2 - u^2}[/tex]

Answer: Brownion motion is the erratic random movement of microscopic particles in a fluid, as a result of continuous bombardment from molecules of the surrounding medium.

Explanation:

Brownian motion is the random movement of particles in a fluid due to their collisions with other atoms or molecules.

Answer:m=the slope of the line

(x1, y1)= a given point on the line (x,y)=any point on the line

Explanation:

m = slope of line

x1 , y1 = it is the given point on the line

x ,y = any point on line

The general form of equation of line is y - y1 = m (x-x1) where  m is slope of line , y1 and x1 is any point on the line

It is an equation of degree one

x and y represent the coordinate of the point on the line represented in the coordinate plane

m = slope of the line

general equation of a line is y = mx + c

where

m = slope of line

x1 , y1 = it is the given point on the line as data points are represented as (x1,y1) , (x2,y2) , (x3,y3) and so on

x ,y = it is any point line where x is any point on the x axis and y is any point on y axis

learn more about equation of a line

https://brainly.com/question/21511618?referrer=searchResults

#SPJ3

To increase the speed of the go-cart, 250 J of work and energy must be done on it.

To find the work done on the go-cart, we can use the work-energy theorem. The work done is equal to the change in kinetic energy of the go-cart.

The initial kinetic energy of the go-cart is given by K_i = (1/2)mv^2, where m is the mass of the go-cart and v is its initial velocity. Plugging in the values, we have K_i = (1/2)(20 kg)(5 m/s)^2 = 250 J.

The final kinetic energy of the go-cart is given by K_f = (1/2)mv^2, where m is the mass of the go-cart and v is its final velocity. Plugging in the values, we have K_f = (1/2)(20 kg)(10 m/s)^2 = 500 J.

The change in kinetic energy is ΔK = K_f - K_i = 500 J - 250 J = 250 J.

Therefore, 250 J of work must be done on the go-cart to increase its speed from 5 m/s to 10 m/s.

https://brainly.com/question/16987255

#SPJ2

v = initial velocity of launch of the stone = 12 m/s

θ = angle of the velocity from the horizontal = 30

Consider the motion of the stone along the vertical direction taking upward direction as positive and down direction as negative.

v₀ = initial velocity along vertical direction = v Sinθ = 12 Sin30 = 6 m/s

a = acceleration of the stone = - 9.8 m/s²

t = time of travel = 4.8 s

Y = vertical displacement of stone = vertical height of the cliff = ?

using the kinematics equation

Y = v₀ t + (0.5) a t²

inserting the values

Y = 6 (4.8) + (0.5) (- 9.8) (4.8)²

Y = - 84.1 m

hence the height of the cliff comes out to be 84.1 m

The height of the cliff if the stone’s trajectory time from the top of the cliff to bottom to be 4.8s is 84.06m

To get the height of the cliff, we will have to use Newton's second law of motion as shown below;

[tex]S=ut+\frac{1}{2}at^2[/tex]

Since the stone is thrown upwards, a = -g, the formula will become;

[tex]S=ut-\frac{1}{2}gt^2[/tex]

Get the initial vertical velocity "u"

[tex]u = u_0sin \theta\\u=12sin30^0\\u=6.0m/s[/tex]

Given the following parameters

t = 4.8secs

g = 9.8m/s²

Substitute the given parameters into the formula as shown:

[tex]S=6(4.8)-0.5(9.8)(4.8)^2\\S=28.8-112.896\\S = -84.06m[/tex]

This shows that the height of the cliff if the stone’s trajectory time from the top of the cliff to bottom to be 4.8s is 84.06m

Learn more here: https://brainly.com/question/17811936

Correct

Lithium fluoride is created due to the increased stability in the completion of fluorine's outer shell. By moving one electron from lithium, its outer shell is now full (with two). Additionally, by adding this electron to fluorine, it gains a full, stable octet.

The formation of lithium fluoride (seen here) is due to the increased stability in the completion of fluorine's outer shell, therefore the correct answer is option B.

The octet rule is the rule that explains that an atom should have filled with eight electrons in its valence shell for the most stable state.

For example, an Oxygen atom that has six electrons in the outermost shell needs two more electrons in its valence shell to form a stable atom.

In the formation of the lithium fluoride the lithium atom which has an extra electron in its outermost shell transfer it to the fluorine atom which has one less electron in its outermost shell so that it can compete with its octet.

The bond formed between the lithium and the fluorine atoms in the lithium fluoride is of an ionic nature where one electropositive and one electronegative atom are involved and the bond is formed by the transfer of the electron.

thus, The formation of lithium fluoride is because of the increased stability in the completion of fluorine's outer shell, therefore the correct answer is option B.

Learn more about the Octet rule from here

brainly.com/question/865531

#SPJ6

a)

Y₀ = initial position of the stone at the time of launch = 0 m

Y = final position of stone = 20.0 meters

a = acceleration = - 9.8 m/s²

v₀ = initial speed of stone at the time of launch = 30.0 m/s

v = final speed = ?

Using the equation

v² = v₀² + 2 a (Y - Y₀)

inserting the values

v² = 30² + 2 (- 9.8) (20 - 0)

v = 22.5 m/s

b)

Y₀ = initial position of the stone at the time of launch = 0 m

Y = maximum height gained

a = acceleration = - 9.8 m/s²

v₀ = initial speed of stone at the time of launch = 30.0 m/s

v = final speed = 0 m/s

Using the equation

v² = v₀² + 2 a (Y - Y₀)

inserting the values

0² = 30² + 2 (- 9.8) (Y - 0)

Y = 46 m

(a)The speed of the stone when it reaches [tex]20.0 m[/tex] is approximately [tex]22.5 m/s[/tex]

(b)The maximum height it reaches is approximately [tex]45.9 m[/tex].

Let's analyze the motion of the stone in two parts: finding its speed at a height of 20.0 meters and its maximum height.

(a) Speed at [tex]20.0 m[/tex]

We can use the following kinematic equation:

[tex]v^2 = u^2 + 2as[/tex]

Initial speed [tex]u = 30.0 \, \text{m/s}[/tex]

Acceleration [tex]a = -9.8 \, \text{m/s}^2[/tex] (since gravity acts downwards)

Displacement [tex]s = 20.0 \, \text{meters}[/tex] (upward positive)

Substituting in the given values:

[tex]v^2 = 30.0^2 + 2(-9.8)(20.0)\\\\v^2 = 900 - 392\\\\v^2 = 508[/tex]

Hence:

[tex]v = \sqrt{508} \approx 22.5 \, \text{m/s}[/tex]

(b) Maximum Height

At maximum height, the speed ([tex]v[/tex]) will be 0. Using the same kinematic equation:

[tex]0 = 30.0^2 + 2(-9.8)s0 = 900 - 19.6s[/tex]

Solving for [tex]s[/tex]:

[tex]s = \frac{900}{19.6} \approx 45.9 \, \text{meters}[/tex]

Thus, the highest point the stone may reach is roughly [tex]45.9 m[/tex].

Motion graph:

When a compass is placed within a magnetic field, it aligns in a direction parallel to the field.

At the point when a compass is put inside an attractive field, it adjusts toward a path parallel to the field.

Hope this helps ^_^

Answer:   Q= Air resistance

Description:

The box release two forces acts on it, when it is falling from the building.

1. Its weight,  2. Air resistance

The answer is Air resistance

If one neutron is added to a helium nucleus, the result is

Change of mass of nucleus. :D

Experiment reliability can be maximized through employing control and experimental groups, careful manipulation and measurement of independent and dependent variables, and using random selection and assignment.

The combination of variables that will make an experiment the most reliable includes the implementation of control groups and experimental groups, the careful manipulation and measurement of independent and dependent variables, and the usage of random selection and assignment of subjects to prevent bias.

Control groups, that receive a placebo, allow for comparison and control for potential confounding factors that might impact the results. The independent variable, which is manipulated by the researcher, should ideally be the only significant difference between the experimental and control groups. The dependent variable is then measured to assess the effect of the independent variable.

https://brainly.com/question/20725701

#SPJ12

The reliability of an experiment can be enhanced by controlling the independent variable, establishing a control group, using a double-blind study design, and random assignment of subjects. Consistent experimental procedures and control of lurking variables also contribute to the reliability.

The reliability of an experiment can be enhanced by a careful combination of variables, specifically pertaining to the design and execution of the experiment. One key aspect is the control of the independent variable, which is the variable that is manipulated or changed in the experiment.

Moreover, the establishment of a control group is paramount for comparison. The control group acts as a benchmark and remains unexposed to the experimental manipulation, further controlling for any chance factors that might influence the results of the study.

The experiment's reliability can also be significantly improved by incorporating a double-blind study design. This methodology involves keeping both researchers and participants unaware of the group assignments, reducing the chance of expectancy or bias affecting the results. Random assignment of subjects to treatment groups also helps to limit the influence of lurking variables. These are variables which are not considered in the study but that may affect the results and hence, the validity of the findings.

The careful control of these variables, along with consistent experiment procedures, can increase the reliability of an experiment.

https://brainly.com/question/31540311

#SPJ12

black white green and gold

One variable is changed at a time

Answer:

Option (2)

Explanation:

The earth is comprised of denser materials such as iron and nickel and other siderophile elements in the core and silicate materials in the mantle. The temperature at the core of the earth is extremely high that generates a force, that allows the molten materials (magma) to rise up from the bottom of the mantle towards the crust, in the form of convection currents. This upward movement of magma forces the lithospheric plates to move.

Thus, magma rises from the bottom of the mantle towards the crust.

Hence, the correct answer is option (2).

I might want to do fire related crime examination as it would be so magnificent to dissect or research on the off chance that it was illegal conflagration or an inadvertent. It is cool to examine a blast and see where it originated from and who may have done it.

Discovering where everything started and having it lead me to every one of these focuses would energize.

Arson or explosion investigation and evidence testing are careers that suit those with interests in criminal justice, chemistry, and forensic science. Arson and explosion investigators determine the causes of fires and explosions, which can be highly stressful due to the potential legal consequences. Evidence testing is more laboratory-based, using science to provide evidence in court cases, which can be appealing for those who enjoy the sciences.

Whether one would enjoy a career in arson or explosion investigation, or in evidence testing entirely depends on an individual's interests and skills. People who are drawn to these fields often have an interest in criminal justice, chemistry, and forensic science. These careers require analytical thinking, an eye for details, and the ability to problem-solve under pressure.

Arson and explosion investigators work on determining the causes of fires and explosions. This can be appealing to those who enjoy solving complex problems and have an interest in safety and prevention measures. However, it can also be a highly stressful profession, as the results of your investigation can have significant legal and personal consequences for those involved.

Evidence testing, on the other hand, is more focused on laboratory work. This work involves testing materials found at crime scenes to provide scientific evidence that can be used in a court case. This can be rewarding to those who enjoy chemistry, biology, or physics. It can also be a challenging career, as the accuracy of your results is paramount and can greatly impact the outcomes of criminal cases.

https://brainly.com/question/11803401

#SPJ11

1. Dr. Moussa

2. Dr. Ali Moustafa Mousharaffa

3. Sir Magdi Habeeb Yacoub

4. Azza Faiad

We know that, Power is defined as rate of doing work

Power = Work ÷ time  Watts,

Given ; Force = 200 N

            Distance = 25 m , and time (t) = 10 s.

            First determine the work, Work = Force × distance

                                                                 = 200 ×  25

                                                             W = 5000 J

            Now, Power =  5000 ÷ 10

                                 = 500 W

Since the lamps are identical, the current divides equally through them... 0.6A through each lamp.

You don't have to worry about voltage drop or the value of the resistor to make that 9 volt drop to happen. The current is divided evenly by the two lamps. If the ammeter reads 1.2 amps before the current goes into the lamps then since this is a parallel circuit, the lamps will divide up the current evenly between them.

That's another way of saying each one will get 1.2 amps /2 = 0.6 amps.

Answer:

False

Explanation:

The collaborative learning is not a type of learning that focuses on individual learning. This type of learning focuses on joint learning between two or more individuals that act as a team. The collaborative learning is a method that encourages the two or more individuals to work together, to capitalize on each other's skills and resources for the benefit of the whole, for the team. This type of learning has its own supporters and critics, as some consider it as excellent way to develop the team work and closer bonds between the people, while others argue that it is destroying the potential of the individual.

Collaborative learning does not focus on the learning of an individual, it emphasizes working together in groups to achieve a common goal.

The statement 'Collaborative learning focuses on the learning of an individual' is False. Collaborative learning involves students working together in groups or teams to achieve a common goal or complete a task. It emphasizes cooperative and active participation, where students learn from each other's perspectives, experiences, and knowledge. It encourages communication, critical thinking, problem-solving, and teamwork skills. Examples of collaborative learning activities include group discussions, projects, presentations, and peer teaching.

https://brainly.com/question/32894707

#SPJ6

Answer: Genetic information responsible for physical characteristics such as eye color, height, hair color, and skin color can be found in an organism's DNA.

Explanation:

Our genetic information is stored in DNA. DNA (Deoxyribonucleic acid) molecule is a double helix structure which carries information which used in development and growth of body and determines physical characteristics such as eye color, height, hair color and skin color.

The genetic information determining physical traits like eye color and height is found in an organism's DNA, specifically in structures called genes. These genes are inherited from both parents and their expression as observable traits is known as the phenotype. The genotype and environment interact to influence the resulting characteristics of the individual.

The genetic information responsible for physical characteristics, such as eye color, height, hair color, and skin color, can be found in an organism's deoxyribonucleic acid (DNA). The DNA is organized into structures called chromosomes, and specific segments within this DNA known as genes are responsible for various traits. Each gene may exist in different versions referred to as alleles, which determine the variety in these characteristics seen among individuals. In a process called inheritance, genes containing specific alleles are passed from parents to offspring through the reproductive cells, the egg and the sperm.

When the egg and sperm unite, they form a zygote with a complete set of chromosomes, ensuring that the offspring receive genetic material from both parents. This combination of alleles from both parents creates the individual's unique genotype, which is their genetic makeup, and the observable expression of these genes in the individual's traits or characteristics is known as their phenotype.

The interaction between an organism's genotype and the environment in which it develops will influence the presentation of its phenotype. Therefore, characteristics such as height and skin color are affected both by genetic information and environmental factors.

The answer is A. Coal

My previous comment was deleted for including a link, sorry :0

In the United States, most of our electricity comes from this non-renewable resource is "coal".

The sedimentary rock known as coal becomes combustible and has been formed in rock strata known as coal seams.

Natural resources that cannot be easily replenished by biological methods at a rate quick enough even to keep up with use are considered non-renewable resources.

Therefore, in the United States, most of our electricity comes from this non-renewable resource is "coal".

To know more about  non-renewable resources and coal

https://brainly.com/question/14214221?referrer=searchResults

#SPJ2

Heat required to raise the temperature of water is given as

[tex]Q = ms\Delta T[/tex]

here we know that

[tex]m = mass = 200 mL = 0.200 kg[/tex]

initial temperature = 15 degree C

final temperature = 40 degree C

specific heat capacity = 4186 J/kg C

now by the above formula we will have

[tex]Q = 0.200 (4186) (40 - 15) = 20930 J[/tex]

More than 45 N upward!

A 45-N force must be applied upward to lift an object of equivalent weight, counteracting downward force of gravity. These two forces perfectly balance each other according to Newton's third law.

To lift the 45-N object, the force you apply should be equal in magnitude, but opposite in direction to the force exerted by the object's weight. This implies that the force to lift the object also should be 45-N, but directed upwards. This is in accordance with Newton's third law which states that for every action there is an equal and opposite reaction.

The direction of the force is significant as it determines the object's movement. The force applied to lift the object should be going against the force of gravity, thus, it should be directed upward. Consequently, this opposes the object's weight which is always directed downward due to the pull of gravity.

The strength and direction of a force are vectors in physics, meaning they have both magnitude and direction. In this case, the magnitude is 45-N and the direction is upward to effectively lift the object against the force of gravity (weight).

https://brainly.com/question/13191643

#SPJ3

I believe it is north.