The Distance an object moves per unit of time is known as the

Because the primary waves travel before the secondary waves, and therefore arrive first.

Let the direction are given as follows

[tex]+x = east[/tex]

[tex]-x = west[/tex]

[tex]+y = North[/tex]

[tex]-y = South[/tex]

now for the above displacement

it moves east for 5 m so it is

[tex]x_1 = 5[/tex]

then goes north for 3 m

[tex]y_1 = 3[/tex]

then goes west for 2 m

[tex]x_2 = -2 m[/tex]

now total displacement in East or x direction

[tex]x = x_1 + x_2 = 5 - 2 = 3m[/tex]

total displacement in North of Y direction

[tex]y = 3m[/tex]

so final coordinates are

[tex]x = 3, y = 3[/tex]

Part b)

position vector is given as

[tex]r = x\hat i + y\hat j[/tex]

[tex]r = 3\hat i + 3\hat j[/tex]

so the magnitude of the vector is given as

[tex]|r| = \sqrt{3^2 + 3^2}[/tex]

[tex]|r| = 3\sqrt3[/tex]

1. Outer planets are gaseous planets (Jovian Planets). All the outer planets have ring system. They have many number of natural satellites. They have longer period of revolution as compared to inner planets.

2. Outer planets are different from each other in the following way:

The size and mass of the four outer planets is different from each other. Uranus rotates in opposite direction as compared to rest of the planets. Jupiter is the largest planet where as Saturn is the lightest. All the outer planets have different composition of gases and water.

3. Dwarf planets are smaller in size and have irregular shape as compared to true planets. In our solar system, we have 8 true planets and 5 official dwarf planets but can be as many as 10,000 dwarf planets present in Kuiper belt.

4. The outer planets lie beyond asteroid belt in the following sequence: Jupiter, Saturn, Uranus and Neptune. Due to this arrangement, as the distance increases from the Sun, the temperature of the surface of these planets drops.

6. Titan is the largest moon of Saturn. Scientists are interested in studying Titan because of its dense atmosphere and liquid hydrocarbons lakes. Methane lakes are present on its surface. Although there is no water on it but scientists are exploring the possibility of life sustained on hydrocarbons as there is presence of pre-biotic environment with the possibility of biotic environment in sub-surface. It has methane cycle like water cycle on Earth and weather pattern.

Outer planets are similar in composition and have multiple moons and rings but differ in size, atmospheric composition, and structure of moons and rings. Dwarf planets haven't cleared their orbits. The arrangement of outer planets is influenced by gravitational pulls. Titan, Saturn's largest moon, interests scientists due to its Earth-like features.

The outer planets, also known as the gas giants, are similar to each other in that they are composed primarily of gases, like hydrogen and helium, and they all have ring systems and multiple moons. Outer planets include Jupiter, Saturn, Uranus, and Neptune. However, they are different in terms of size, composition of their atmospheres, number and structure of their rings and moons.

Dwarf planets are different from true planets in various aspects. Dwarf planets like Pluto, fail to meet the third criteria in the planet definition which is clearing its orbit. This means there are other bodies of comparable size other than its own satellites in its orbit in space.

The arrangement of outer planets greatly affects their placement as they follow elliptical paths which are affected by the gravitational pull of the Sun and other planets. For instance, the position of Jupiter greatly affects the positions of other outer planets.

Titan is Saturn's largest moon and it is of special interest to scientists due its Earth-like features such as presence of liquid lakes and rains, except that they're made of methane, not water, and its dense atmosphere.

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Given data

  efficiency (η) = 65 %

                        = 0.65

  Machine provides (Work done by the machine) = 1300 × 50

                                                                                 = 65000 J

  efficiency (η) = work done by the machine ÷ work supplied to the machine

               0.65 =  65000 ÷ Input work

              Input work = 100000 J

                                = 100 KJ

Answer:

D. The mass number

Explanation:

Isotopes are defined for same atoms

If an atom has same number of protons and same number of electrons but different number of neutrons in it then such pair of atoms is known as isotopes

so we have

same atomic number in all isotopes

since atomic number is same so we can say that total charge of the two atoms must be same

So we will say that since number of neutrons is different in isotopes to sum of neutrons and protons which is known as mass number is different in such pair of atoms

So correct answer is

D. The mass number

The property of the isotopes must be different in "The mass number." The correct answer is D.

Isotopes are atoms of the same element that have the same atomic number (A) and number of protons in their nucleus, but they have different mass numbers (Z). The mass number represents the total number of protons and neutrons in an atom's nucleus. Isotopes of an element have the same number of protons but different numbers of neutrons, which results in different mass numbers.

Let's examine why the other options are not true:

A. The atomic number: The atomic number represents the number of protons in an atom's nucleus. Isotopes of the same element have the same atomic number because they have the same number of protons. So, the atomic number remains constant for isotopes.

B. The electric charge: Electric charge refers to the imbalance of electrons and protons in an atom, which determines its overall charge. Isotopes of the same element have the same number of protons and electrons, thus maintaining the same electric charge.

C. The element name: The element name represents a specific type of atom characterized by a unique number of protons in its nucleus. Isotopes of the same element have the same number of protons, so they share the same element name. The element name does not change for isotopes.

Therefore, the property that must be different for isotopes is the mass number (D).

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Solution:

Step wise solution

Let r1 be the distance from the Earth to the point where

the gravitational accelerations are the same and let r2 be the distance

from the Moon to that point.

Then, r1+ r2 = r12 = 383,000 km.

Let Re be the radius of earth

and let Rm be the radius of moon

Let, ge be the gravity of earth

and let gm be the gravity of moon

The fact that the gravitational attractions by the Earth and the Moon

at this point are equal leads to the equation

gE(Re/r1)=gM(Rm/r2)

9.8(6380/r1)=1.62(1738/r12-r1)              

(here, Re=6380, gE=9.8m/s^2,  gM=1.62m/s^2 and r12=383,000 km

9.8*6380/(1.62*1738)=r1/(383000-r1)

therefore,

r1=344,770 km

Hope this answer wil help you

Answer:

Calculate the distance between the center of the earth and the center of the moon at which the gravitational force exerted by the earth on an object is equal in magnitude to the force exerted by the moon on the object

Explanation:

solution steps

The "Big Bang" theory is the best known explanation for the constant cosmic background radiation.

Real scientists don't use evidence to support their theories.

Real scientists propose theories to explain the observed evidence.  After that, they try every way they can think of to prove that the theory is False.

Answer:

There is constant cosmic background radiation.

Explanation:

The detection of constant cosmic background radiation provided an evidence for the Big Bang theory. The cosmic microwave background radiation is considered as remnant radiation of the early stages of the universe. The cosmic microwave background radiation was detected in all the directions. The average temperature of the background radiation is 3 K.

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 ^_^

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].

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]

Hurricanes gain strength by using warm ocean waters as their primary energy source. The warm water evaporates and condenses, releasing latent heat, fueling the storm's intensification and driving its powerful winds.

Warm ocean waters and favourable atmospheric conditions strengthen hurricanes. Latent heat from warm, moist ocean air rising and condensing into clouds and rain powers them. Latent heat release fuels the storm. Warm, wet air rises, lowering surface pressure. Air fills this low-pressure area, rotating and organising the storm. The Coriolis effect, induced by Earth's rotation, spins the storm, strengthening it.

Hurricanes need low vertical wind shear, which limits wind speed and direction with height. Low wind shear lets the storm intensify vertically. Hurricanes receive energy from warm ocean waters, latent heat release, minimal wind shear, and the Coriolis effect.

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Weight is defined as attraction force of Earth on an object

It is given by formula

F = mg

when spring balance is used to measure the weight of an object then it means

[tex]F_s = F_g[/tex]

spring force is balanced by gravitational force

so the unit to measure this force is given by NEWTON(N)

so answer would be Newton(N)

Answer:

True

Explanation:

By width, we commonly mean the diameter of the pipe. Before, giving some logical examples we will look at the scientific proof of this fact. There was a physicist named Jean Leonard who experimented on fluid flow during the start of 19th century,  He deduced the results as  the flow rate is proportional to the fourth power of pipe radius,

His results can mathematically be expressed as :

Volume flow rate = π X pressure difference X pipe radius 4 X liquid viscosity / 8 X viscosity X pipe length.

Now let us take an example which shows how pipe diameter or radius (half of diameter) affect the flow of water.

Lets suppose we have a pipe that has radius of 2 inches and length of 6 and we want to calculate that what will be the the flow rate if we increase the length of pipe from 2 to 4 inches. When the length is constant, the radius has also got changed by 2 inches.

So, if we assume that temperature, pressure and length is constant and no external factor is affecting the water flow, then according to above equation  the flow rate will change by a factor of 24, or 16.

This shows that the width or radius influence flow rate of water.

Hope it help!

Initially, the experiment has only potential energy (since total energy is the sum of kinetic and potential energy). And at the end, the experment has only kinetic energy.

The potential energy of a 1,300 kg car at the edge of a cliff 1,500 m high would be approximately 19,094,500 Joules or 19.1 MJ. This calculation utilizes the formula for potential energy, PE = m*g*h.

The calculation of Potential Energy is based on the formula PE = m*g*h. In this formula, 'm' represents the mass of the object, 'g' stands for the gravitational force (approximately 9.81 m/s² on Earth), and 'h' indicates the height above the ground. For a car with a mass of 1,300 kg at the edge of a cliff 1,500 m above the ground, the calculation would look like this.

PE = 1,300 kg * 9.81 m/s² * 1,500 m

This results in a potential energy of approximately 19,094,500 Joules, or 19.1 MJ. This amount of energy would be converted to kinetic energy if the car were to fall from the cliff, assuming no other energies are involved (like air resistance or friction).

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The potential energy of a 1,300 kg car at the edge of a cliff 1,500 m above the ground is approximately 19,108,500 Joules. The calculation uses the formula PE = mgh. Substituting the given values into the formula provides this result.

Potential energy due to gravity is given by the formula:

PE = mgh

where:

m = mass of the object (1,300 kg)

g = acceleration due to gravity (9.81 m/s²)

h = height above the ground (1,500 m)

Now, substituting these values into the formula:

PE = 1300 kg x 9.81 m/s² x 1500 m

PE ≈ 19,108,500 Joules

Hence, the potential energy of the car is approximately 19,108,500 Joules.

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

Change of mass of nucleus. :D

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).

Motion graph:

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:

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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.

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One variable is changed at a time

2, 5, and 6 are the correct answers.

The correct statements about Earth's atmosphere are: the most abundant gas is oxygen, carbon dioxide is important for plants, and the troposphere gets colder with increasing height.

The correct statements about Earth's atmosphere are:

The fastest in speed of sound is steel. The slowest in speed of sound is oxygen. Hope this helped! I don't really know how to answer this but by looking at the table it looks like this can be one of the conclusions.

The measurements in the table allow for the following conclusion: Stiff and dense materials like steel and granite allow sound to propagate extremely fast (5-6 km/s) while lower density ones, like the fluids, reduce this speed to about 1.5km/s, with the lowest-density media (gases) allowing for only order of hundreds of m/s.

The measurements are consistent with a model of energy propagation consisting of spheres (modeling the molecules) and springs connecting them (modeling the molecular bonds). It can be shown that the mass of the spheres and the stiffness of the springs are factors in speed of energy propagation.

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

Given data

mass (m) = 13 kg

             F₁ = 13 × 9.8 = 127.4 N

air resistance (F₂ ) = 9 N, acts in opposite direction

            Net force is defined as sum of all forces

              Fnet = F₁ - F₂

                       = 127.4 - 9

                       = 118.4 N

Net force acting on the object is 118.4 N

The answer is D; A substance that dissolves another substance.

D. Solvent is a substance that dissolves another substance.

Answer;

velocity(v) = 97.2 m/s ,

distance (S) = 100 m

determine time(t) = ?

  We know that,

               distance (S) = velocity(v) × time(t)

           So,      time (t) = distance ÷ velocity

                                   = 100 ÷ 97.2

                                t = 1.02 sec.

I hope this will help you.