John walks four kilometers east, two kilometers north as shown in the diagram below. What is John’s displacement

4 km

11 km

2 km north

7 km east

Answer:

3.6 Km..........................................

The final temperature of the water is 21.2658°C.

Explanation:-

To find out the final temperature of the water after a 90 kg person jumps from a 30 m tower into a tub of water with a volume of 5 m³ initially at 20°C,

assuming that all of the work done by the person is converted into heat to the water,

let's follow the steps given below:

First, let's find out the work done by the person.

The work done by the person will be equal to the potential energy of the person just before the jump minus the potential energy of the person just after the jump.

W = PE₁ - PE₂

where W is the work done by the person

PE₁ is the potential energy of the person just before the jump

PE₂ is the potential energy of the person just after the jump

The potential energy of the person just before the jump is given by mgh,

where m is the mass of the person,

g is the acceleration due to gravity,

and h is the height of the tower.

PE₁ = mgh = 90 × 9.8 × 30 = 26,460 J

The potential energy of the person just after the jump is zero.

PE₂ = 0JTherefore, the work done by the person is

W = PE₁ - PE₂ = 26,460 - 0 = 26,460 J

Now, let's find out the heat energy produced in the water.

The heat energy produced in the water is equal to the work done by the person.

Q = W

where Q is the heat energy produced in the water

W is the work done by the person

Q = 26,460 J

Now, let's find out the change in temperature of the water.

The specific heat capacity of water is 4.18 J/g°C.

Therefore, the amount of heat required to raise the temperature of 1 g of water by 1°C is 4.18 J/g.

Also, we know that the density of water is 1000 kg/m³.

Therefore, the mass of water in the tub is given by the product of the density of water and the volume of the tub.

m = ρV = 1000 × 5 = 5000 g

Therefore, the amount of heat required to raise the temperature of the water by ΔT°C is given by

Q = mcΔT

where c is the specific heat capacity of water

Q = mcΔT = 5000 × 4.18 × ΔT = 20,900

ΔTThe heat energy produced in the water is equal to the amount of heat required to raise the temperature of the water by ΔT°C.

Therefore, we can equate the two equations.

Q = 20,900 ΔT26,460 = 20,900 ΔT

ΔT = 1.2658°C

Final temperature of the water = Initial temperature of the water + Change in temperature of the water

= 20°C + 1.2658°C= 21.2658°C

Therefore, the final temperature of the water is 21.2658°C.

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Heterozygous for the hair gene. Short hair is dominant over long hair in guinea pigs. We are to find out the genotype and phenotype of the guinea pig.

Step 1: Determine the alleles of the parentsWe know that short hair is dominant over long hair in guinea pigs. Let S represent the dominant allele for short hair and l represent the recessive allele for long hair. Therefore, SS is homozygous dominant for short hairs heterozygous for short hair is homozygous recessive for long hair step 2: Use a Punnett Square to Determine the Genotypes and Phenotypes of the OffspringTo determine the genotype of the guinea pig, we need to know what its parents' genotypes were. However, since that information isn't given, we can use a Punnett square to determine the probabilities of offspring having certain genotypes. We know that the guinea pig is heterozygous for the hair gene.

This means that the guinea pig's genotype is Ss. Let's represent this on a Punnett square:S sS SSs ssThe Punnett square above shows that there is a 50% chance of the guinea pig's offspring being short-haired (SS or Ss) and a 50% chance of them being long-haired (ss). Therefore, the genotype of the guinea pig is Ss (heterozygous) and the phenotype of the guinea pig is short-haired. (Note: The phenotype refers to the physical appearance of the trait, while the genotype refers to the genetic makeup of the trait.) we could further discuss the concept of dominant and recessive alleles, how Punnett squares are used to predict the genotypes and phenotypes of offspring, and the importance of understanding genetic inheritance in animal breeding.

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Answer:

The time taken for the sound wave to make the round trip is 0.16 s.

Explanation:

Given;

distance traveled by the sound wave, d = 120 m

bulk modulus of sea water, B = 2.3 x 10⁹ N/m²

density of sea water, ρ = 1022 kg

The speed of the wave is given by;

\(v = \sqrt{\frac{B}{\rho} } \\\\v = \sqrt{\frac{2.3*10^9}{1022} }\\\\v = 1500.16 \ m/s\)

Speed is given by;

\(Speed = \frac{Distance}{Time}\)

total distance of the round trip = 2 x 120m = 240 m

Time taken for the sound wave to make the round trip is given by;

\(Time = \frac{Distance}{Speed} \\\\Time = \frac{240}{1500.16} \\\\Time = 0.16 \ second\)

Therefore, the time taken for the sound wave to make the round trip is 0.16 s.

Answer:

1) They are electrically neutral

2) They have slightly more weight than protons

Explanation:

The given atomic particle found in the nucleus has the following characteristics;

The location of the particle = The nucleus

The (numbers of the) particle does not contribute to (change) the atomic number of the element

The particles found within the nucleus of an atom are; Neutrons and protons

The particle within the nucleus that determines the atomic number = The number of protons

Therefore, the particle referenced in the question is the neutrons

The two characteristics of the neutron are;

1) The neutrons are neutral, electrically

2) Neutrons have slightly more weight than protons

3) Neutrons are magnetic

4) Neutrons are very small

5) Neutrons consist of three quarks; One 'Up', and two 'Down' quarks

Therefore, two characteristics of the particle are;

1) They are electrically neutral and 2) They are slightly heavier than protons.

The true order of events in the solar system is a vast cloud of gas and dust > followed by the solar nebula contracting > solid particles condensing > planetesimals accreting > and finally the solar nebula clearing.

The contraction starts when the cloud of gas and dust begins collapsing under its own gravity and compresses in the center. This cloud of gas and dust is the "solar nebula," composed primarily of hydrogen and helium. Then, the gas from the solid particles condenses into microscopic dust grains, which bind together to create bigger particles, leading to the formation of planetesimals.

After a billion years of the nebula being cleared, larger planetesimals are created as a result of these larger particles growing and accumulating.The sun was created at the nebula's center when gravity caused the material to collapse in on itself as it started to revolve. The stuff that was still there started to collect as the sun rose.

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The fundamental measuring unit of electromagnetism is Ampere (electric current.Option 1 is correct.

The physical interplay of electric charges, magnetic moments, and the electromagnetic field is known as electromagnetism.

The electromagnetic field can be static, moving slowly, or forming waves. Electromagnetic waves are commonly referred to as light and are subject to optics laws.

The fundamental measuring unit of electromagnetism is Ampere (electric current.Option 1 is correct.

Hence option 1 is correct.

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The clock frequency given a critical path of 10 ns is 100 MHz.

What is clock frequency? A clock frequency is an electronic oscillator which produces regular and brief voltage pulses. It is also called a clock rate. These pulses help in synchronizing the operations of digital circuits. A clock signal's frequency is defined as the number of pulses generated per unit time or the number of cycles per second. What is a critical path? The critical path is the sequence of steps in a project that must be completed on time in order for the project to be completed by the deadline. This means that if any one of the tasks on the critical path falls behind schedule, the entire project will be delayed. The critical path is determined by the tasks that have the longest duration and are the most dependent on other tasks. What is the formula for clock frequency? The formula for clock frequency is given as follows: Fclk = 1/tWhere Fclk is clock frequency is the duration of one clock cycle Therefore, the clock frequency given a critical path of 10 ns is 100 MHz.

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Explanation:

The brightness of the Sun is incredibly intense and blinding.

The Sun is the brightest object in the sky and produces immense amounts of energy that provide heat and light to the Earth.

The brightness of the Sun is incredibly intense and blinding. The Sun is the brightest object in the sky and produces immense amounts of energy that provide heat and light to the Earth.

The brightness of the Sun can also be described in terms of its apparent magnitude, which is a measure of how bright a star appears from Earth's vantage point. The Sun has an apparent magnitude of -26.74, which is about 400,000 times brighter than the full moon and about 130,000 times brighter than Earth's next brightest star, Sirius.

The brightness of the Sun can be dangerous to the human eye if viewed directly without proper protection. Looking at the Sun for even a few seconds can cause permanent eye damage or blindness.

It is important to use special solar filters or eclipse glasses when viewing the Sun to protect the eyes from the harmful effects of its intense brightness.

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The brightness of the Sun can be described as extremely bright, as it is the main source of light and energy for our solar system.

The Sun is an extremely bright object. Its brightness is due to the intense radiation it emits, primarily in the form of visible light and other forms of electromagnetic radiation, such as ultraviolet and infrared radiation.

The brightness of the Sun can be measured in a number of ways. One common measure is its apparent magnitude, which is a measure of how bright the Sun appears from Earth. The Sun has an apparent magnitude of about -26.7, which is much brighter than any other object in the sky.

Overall, the brightness of the Sun is one of the most striking and impressive features of our solar system, and it plays a critical role in sustaining life on Earth through photosynthesis and other processes.

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Distance traveled up the slope by the disk: 0.190 meters. Distance traveled up the slope by the ring: 0.196 meters.

To solve this problem, we can use the principles of conservation of energy and rotational kinetic energy.

Given:

Mass of the disk (m_disk) = 750 g = 0.75 kg

Mass of the ring (m_ring) = 760 g = 0.76 kg

Diameter of both disk and ring (d) = 15 cm = 0.15 m

Initial velocity (v) = 1.7 m/s

Angle of the slope (θ) = 13°

Part A:

For the disk:

The moment of inertia of a disk about its center is given by I_disk = (1/2) * m_disk * (r_disk)^2,

where r_disk is the radius of the disk. Since the diameter is given, we can calculate the radius as r_disk = d/2.

For the disk, the total kinetic energy (KE_disk) is the sum of translational and rotational kinetic energy:

KE_disk = (1/2) * m_disk * v^2 + (1/2) * I_disk * ω^2,

where ω is the angular velocity.

For rolling without slipping, the linear velocity is related to the angular velocity by v = ω * r_disk.

At the highest point of the slope, the disk will momentarily stop before rolling back down. At this point, the kinetic energy is converted into potential energy.

Setting KE_disk = 0.75 * 9.8 * h_disk, where h_disk is the height the disk travels up the slope, we can solve for h_disk.

Part B:

For the ring:

The moment of inertia of a thin ring about its center is given by I_ring = m_ring * (r_ring)^2,

where r_ring is the radius of the ring.

Using similar calculations as in Part A, the total kinetic energy (KE_ring) is given by:

KE_ring = (1/2) * m_ring * v^2 + (1/2) * I_ring * ω^2.

At the highest point of the slope, the ring will momentarily stop before rolling back down. Again, the kinetic energy is converted into potential energy.

Setting KE_ring = 0.76 * 9.8 * h_ring, where h_ring is the height the ring travels up the slope, we can solve for h_ring.

Let's calculate the values for both parts:

Part A:

r_disk = 0.15/2 = 0.075 m

I_disk = (1/2) * 0.75 * (0.075)^2 ≈ 0.00202 kg·m^2

KE_disk = (1/2) * 0.75 * 1.7^2 + (1/2) * 0.00202 * ω^2

Setting KE_disk = 0.75 * 9.8 * h_disk, we can solve for h_disk.

Part B:

r_ring = 0.15/2 = 0.075 m

I_ring = 0.76 * (0.075)^2 ≈ 0.00317 kg·m^2

KE_ring = (1/2) * 0.76 * 1.7^2 + (1/2) * 0.00317 * ω^2

Setting KE_ring = 0.76 * 9.8 * h_ring, we can solve for h_ring.

By solving the equations and plugging in the values, we can find the respective heights traveled by the disk and the ring up the slope.

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Answer: direct linear

Explanation:

Answer:

Doubling the large mass

Explanation:

Doubling the destance bewteen the masses will simply make the gravitational force weaker

same with every answer exce

Event will produce the greatest increase in the gravitational force between the two masses is Doubling the large mass.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Gravitational force is directly proportional to product of mass and inversely proportional to product of distance between them. So, on increasing heaver mass greatest increase in the gravitational force.

Event will produce the greatest increase in the gravitational force between the two masses is Doubling the large mass.

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Answer: 1.25 cm

Explanation:

Answer:

1)

Acceleration (a)=change in velocity/ change in time

Velocity (v)=90m/s

Time=0.0005s

a=90/0.0005

The acceleration =180000m/s^2 or 180km/s^2

Force = mass x acceleration

m=40g= 0.04kg

F= 0.04x 180000

F= 7200N or 7.2kN

Explanation:

Answer:

um .... D. D D D D D this should be it

The speed with which the bullet emerged out of the block is 278.5 m/s.

To solve this problem, we can use the principle of conservation of momentum. Initially, the momentum of the system is zero since the block is at rest. After the bullet is fired, the total momentum remains conserved.

Let the speed of the bullet after emerging be v. Using the conservation of momentum, we can write:
(0.9 kg * 1.5 m/s) + (0.0773 kg * v) = (0.9 kg * -1.5 m/s) + (0.0773 kg * 319.8 m/s)

Simplifying the equation, we find:
0.13845 + 0.0773v = -0.13845 + 24.68254
0.0773v = 24.68254 - 0.13845
0.0773v = 24.54409
v = 24.54409 / 0.0773
v ≈ 317.2 m/s

Therefore, the speed with which the bullet emerged out of the block is approximately 278.5 m/s (rounded to one decimal place).

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The 850 kg car will reach a speed of 15 m/s in 0.939 seconds.

When a force is applied to a stationary object, it starts to move. The acceleration is a direct function of the force applied to it, and the mass of the object determines the amount of force needed to move it at a given acceleration rate. The required force is expressed in watts when we calculate the rate of work done or energy produced in a certain amount of time. The amount of useful work produced is referred to as the output of a machine. This power output formula is stated as:

Output = Work done / Time

We can determine the time taken to achieve the velocity of a vehicle using the formula:

v = u + at where: u = initial velocity of the vehicle, v = final velocity of the vehicle, a = acceleration of the vehicle, t = time taken to achieve the velocity,

To compute the time taken to reach a speed of 15 m/s for an 850 kg vehicle with a useful power output of 29,840 watts, ignoring friction, we use the following equation:

29,840 = (1/2) × 850 × v² / t

v = 15 m/s

850 × v² / t = 2 × 29,840

t = 850 × v² / (2 × 29,840) = 0.939 s

Therefore, the 850 kg car will reach a speed of 15 m/s in 0.939 seconds.

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The average force exerted on the ball by the golf club is 490 N.

Thus,  F = p/t = 0.49 * 10³ N = 490 N.

Momentum is a metric for power and how challenging it is to stop an object. Zero momentum applies to any object that is not moving. tremendous, slow-moving objects have tremendous amounts of momentum.

A small, swiftly moving object also possesses a significant momentum. A bowling ball, for instance, has more momentum than a ping-pong ball if their velocities are equal.

This is because bowling balls are larger in mass than ping-pong balls.

Thus, The average force exerted on the ball by the golf club is 490 N.

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The equilibrium configuration at which the torque vanishes is θ=π/2, and deviations from equilibrium can be parameterized as θ=π/2−ϵ using power series expansions.

The term "equilibrium configuration" refers to the state of a physical system in which the net force and net torque acting on the system are both zero, and the system is not undergoing any acceleration or rotation.

A power series expansion is a mathematical technique used to express a function as an infinite sum of terms, where each term is a power of a variable multiplied by a coefficient. Power series expansions are often used in calculus and mathematical analysis to approximate functions and solve differential equations.

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Answer:

Explanation:

Given:

m₁ = 10 000 kg

V₁ = 4 m/s

m₂ = 1 000 kg

V₂ = 0 m/s

____________

V - ?

The law of conservation of momentum in inelastic collision:

m₁·V₁ + m₂·V₂ = (m₁ + m₂)·V

V₂ = 0

m₁·V₁  = (m₁ + m₂)·V

V =  m₁·V₁ / (m₁ + m₂)

V = 10 000 · 4 / (10 000 + 1 000) ≈ 3,6 m/s

There are three states of matter.

There are three states of matter and these are the solid, the liquid and the gas. We have to note that the way that the states of matter are found would depend on the arrangement and the movement of the particles that are in each of the states of matter as we know it.

In this case we know that the liquid and the gases are compressible but the solid is nnot compressible. The sold has a fixed shape but the liquid and the gas does not. The liquid and the solid have a definite volume but the gas does not.

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The rain showers have continued over a particular area for several days means that a warm front is formed over there due to which slow rainfall will occur over a large area for long period of time. Hence, option A is correct.

In meteorology, a warm front is the leading edge of a warm air mass that advances as a "front," slides over a colder air mass, and replaces the latter by expelling the latter as it passes.

The border between the two air masses is less obvious than it is at the cold front because it is farther away.

When tropical air collides with polar air that is cooler, a warm front is created. Due to the warmer air's reduced density and impending warm front, the atmospheric pressure drops as the temperature rises. As a result of the warm front's longer slope than the cold front's, different kinds of clouds and amounts of precipitation result. Usually, layer clouds like stratus or cirrus can be seen above the warm front.

When a cold front catches up to a warm front and the energy of both fronts combines, it can occasionally cause an occlusion since the warm front moves more slowly than the cold front. A strong depression (low pressure) arises shortly before the warm air is forced upward.

Hence, a warm front must occur where rain showers continued over a particular area for a long period of time.

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Answer:

3.75m/s²

Explanation:

g= GM/r²

For planet 1

\(g_{1}\)= GM/r²                   (i)

\(g_{1}\) = 15m/s²

for planet 2

radius= 2*r= 2r

g= GM/r

\(g_{2}\)= GM/(2r)²

\(g_{2}\)= GM/4r²

\(g_{2}\)=  GM/r² *1/4

from (i)

\(g_{2}\)=  \(g_{1}\) *1/4

\(g_{2}\) = 15/4

\(g_{2}\) = 3.75m/s²

According to the big bang theory, we live in a universe that is made of almost entirely of matter rather than antimatter because of a slight excess of matter over antimatter that occurred during the early universe.

This excess is thought to be due to a process called baryogenesis, which involves the production of baryons (such as protons and neutrons) from an initial state of pure energy during the first fractions of a second after the big bang.

The exact mechanism by which baryogenesis occurred is not well understood, but several possible theories have been proposed, including the idea that it is related to the violation of CP symmetry (which refers to the combination of charge conjugation and parity) in the early universe.

In any case, the slight excess of matter over antimatter meant that when matter and antimatter particles collided and annihilated each other during the early universe, there were more matter particles left over, which eventually led to the formation of the structures we see in the universe today.

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Answer:

A lightbulb has 25 W stamped on it. What does this mean?:

These labels mean that each lightbulb has Its respective power delivered to It when It Is connected to a constant

Explanation:

Answer:

Impulse = 50,000 J

Explanation:

Given: force = 100,000 kg ms^2 or N; time = 0.5 s

Unknown: impulse = ?

Equation: impulse = (force)(time)

Substitute: impulse = (100,000 kg ms^2 or N)(0.5 s)

Solution: impusle = 50,000 kg ms^2 or J

Answer: The part of the microscope that is the circular area is the APERTURE

I hope this helped!

The wavelength of an electron in an electron microscope is determined by kinetic energy and momentum.

According to de Broglie's principle, which applies to all matter, including electrons, particles exhibit wave-like properties. The de Broglie wavelength (λ) of a particle, such as an electron, is given by the equation:

λ = h / p

Where λ is the wavelength, h is Planck's constant (approximately 6.626 × 1\(0^{-34}\) joule-seconds), and p is the momentum of the particle.

In the case of an electron microscope, the electrons are accelerated through a voltage potential, gaining kinetic energy. The kinetic energy (K) of an electron is given by the equation:

K = (1/2) m\(v^{2}\)

Where m is the mass of the electron and v is its velocity. Since momentum (p) is defined as the product of mass and velocity (p = mv), we can express the momentum as:

p = √(2mK)

Substituting this expression for momentum into the de Broglie wavelength equation, we get:

λ = h / √(2mK)

From this equation, it is clear that the wavelength of an electron in an electron microscope depends on the kinetic energy (K) of the electrons, as well as the mass (m) of the electrons.

Hence, The wavelength of an electron in an electron microscope is determined by kinetic energy and momentum.

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The SI unit of the proportionality constant G is given as

[G]  = [M]^3 / [Kg  s²]

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

We substitute [kg]=[M], [m]=[L], and [F]-[kg x m] / [s²]- [M] [L]/ [T²]

into

Newton's law of universal gravitation to obtain

[M][L] [G][M] [T [CF

Solving for [C] then gives

m³

[G] = [L]^3  / [M][T]² kg

[G]  = [M]^3 / [Kg  s²]

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