How do you write an inverse variation equation given X and Y?

Answer:

Explanation:

Sure, here are five examples of problem-solving using the GRESA method for speed:

Example 1:

Given: A car travels 240 km in 4 hours.

Required: What is the average speed of the car?

Equation: Speed = Distance / Time

Solution: Speed = 240 km / 4 hours = 60 km/hour

Answer: The average speed of the car is 60 km/hour.

Example 2:

Given: A train travels at a speed of 100 km/hour for 2 hours, and then at a speed of 80 km/hour for the next 3 hours.

Required: What is the total distance traveled by the train?

Equation: Distance = Speed x Time

Solution: Distance = (100 km/hour x 2 hours) + (80 km/hour x 3 hours) = 200 km + 240 km = 440 km

Answer: The total distance traveled by the train is 440 km.

Example 3:

Given: A cyclist travels at a speed of 30 km/hour for 2 hours, and then at a speed of 40 km/hour for the next 3 hours.

Required: What is the average speed of the cyclist for the entire journey?

Equation: Average speed = Total distance / Total time

Solution: Total distance = (30 km/hour x 2 hours) + (40 km/hour x 3 hours) = 60 km + 120 km = 180 km

Total time = 2 hours + 3 hours = 5 hours

Average speed = 180 km / 5 hours = 36 km/hour

Answer: The average speed of the cyclist for the entire journey is 36 km/hour.

Example 4:

Given: A boat travels upstream at a speed of 10 km/hour, and downstream at a speed of 20 km/hour. The speed of the current is 5 km/hour.

Required: What is the speed of the boat in still water?

Equation: Speed of boat in still water = (Speed downstream + Speed upstream) / 2

Solution: Speed downstream = 20 km/hour, Speed upstream = 10 km/hour

Speed of current = 5 km/hour

Speed of boat in still water = (20 km/hour + 10 km/hour) / 2 = 15 km/hour

Answer: The speed of the boat in still water is 15 km/hour.

Example 5:

Given: A car travels a distance of 90 km in 2 hours. If the speed of the car had been 10 km/hour more, it would have taken 1 hour less to cover the same distance.

Required: What is the original speed of the car?

Equation: Distance = Speed x Time

Solution: Let the original speed of the car be x km/hour

Distance traveled at original speed = 90 km

Time taken at original speed = 2 hours

Distance traveled at increased speed = 90 km

Time taken at increased speed = 2 - 1 = 1 hour

Using the equation Distance = Speed x Time, we get:

90 = x * 2

90 = (x + 10) * 1

Solving these equations simultaneously, we get:

x = 40 km/hour

Answer: The original speed of the car is 40 km/hour.

Answer:

When an unbalanced force acts on a body the side with the greater force's dircetion makes the object move along its direction

Also to find the net force acting on the bofldy you can subtract the two force acting on the body

In case of balanced force the net force will always be 0

Hello :)

Answer:

When an unbalanced force acts on an object, the side with the greater force's direction makes the object move along its direction. For example, when two cars collide on a head-on collision, both vehicles will move in the direction that the vehicle with the greater force is moving in.

Answer:

Explanation:

Given the following data;

Initial volume = 2.5 L

Initial temperature = 350 K

Final volume = 2V1 = 2*2.5 = 5 L

To find the final temperature, we would use Charles law;

The speed of the coin just before it hits the ground dropped from a height of 80 m will be 40 m / s

The total PE at the greatest height = The K.E just before it touches the ground

PE = m g h

KE = 1 / 2 * mv²

PE = Potential energy

KE = Kinetic energy

m = Mass

g = Acceleration due to gravity

h = Height

v = Final velocity

h = 80 m

g = 10 m / s²

PE = KE

m g h = 1 / 2 * mv²

m * 10 * 80 = 1 / 2 * m * v²

v² = 800 * 2

v = √ 1600

v = 40 m / s

Potential energy is the energy at rest and kinetic energy is the energy in motion. Potential energy is maximum at rest and when the object starts to move, it potential energy drops and it kinetic energy rises.

Therefore, the speed of the coin just before it hits the ground is 40 m / s

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The true statement about mitosis and meiosis is that DNA replication occurs before the division of the nucleus.

option B.

Meiosis is the type of cell division that creates egg and sperm cells.

Mitosis on other hand is a fundamental process for life. During mitosis, a cell duplicates all of its contents, including its chromosomes, and splits to form two identical daughter cells.

The similarity between meiosis and mitosis is that both mitosis and meiosis take place in the cell nuclei, which can be observed under a microscope. So both occurs in the nucleus and DNA replication must occur before the division of the nucleus.

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Answer:

Explanation:

The strength of the force of friction depends on two factors: how hard the surfaces push together and the types of surfaces involved. What factors affect the gravitational force between two objects? Two factors affect the gravitational attraction between objects: mass and distance.

Answer:

Explanation:

For every action (or force), there is an equal and opposite action (or force).

Answer:yes

Explanation:

Answer:

To find the force we need mass and acceleration so let's find them first

\( \frac{1}{2} m {v}^{2} = 3.6 \times {10}^{5} \\ \frac{1}{2} \times m \times 900 = 3. {10}^{5} \\ m = 800kg\)

\( {v}^{2} = {u}^{2} + 2as \\ 0 = 900 - 2a(95) \\ a =4.7m {s}^{ - 2} \)

\(f = ma \\ f= 800 \times 4.73 \\ f= 3784n\)

The correct answer is 441 N.

The force that pulls objects toward the centre of the Earth is known as earth gravity. The acceleration of all the bodies that are affected by gravity is almost equal to the strength of the gravitational field.

The force exerted on an object by gravity is known as the weight of a body.

As a result, we can state that weight is only a force.

Given that the mass of a person on earth is = 45 kg

and that gravity's acceleration on earth is = 9.8 ms^2.

Weight, then, is defined as mass multiplied by the gravitational acceleration, or W = m × g.

W = 45 × 9.8

W = 441 N

Hence, the total weight on Earth will be 441 Newton.

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The maximum speed of the photoelectrons emitted from the clean nickel surface is 6.70 × 10⁵ m/s.

Calculate the energy of a photon.E = hc/λwhere, h = Planck’s constant = 6.626 × 10⁻³⁴ Js, c = speed of light = 3 × 10⁸ m/sE = 6.626 × 10⁻³⁴ × 3 × 10⁸/241 × 10⁻⁹E = 8.21 × 10⁻¹⁸ J

Calculate the kinetic energy of the photoelectrons.

K.E. = E – W₀K.E. = 8.21 × 10⁻¹⁸ J – 5.10 × 1.6 × 10⁻¹⁹ J = 7.09 × 10⁻¹⁹ J

K.E. = 1/2 mv² where, m = mass of photoelectron, v = velocity of photoelectron, and K.E. = kinetic energy of photoelectronv = √(2K.E./m) = √[(2 × 7.09 × 10⁻¹⁹ J)/(9.1 × 10⁻³¹ kg)]v = 6.70 × 10⁵ m/s or 0.224c

So, the maximum speed of the photoelectrons emitted from this surface is 6.70 × 10⁵ m/s.

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No, the object's displacement and distance traveled will be equal; however, because the object's initial position is unknown, the object's position may differ from its displacement and distance traveled.

Because the initial position is not provided, we cannot assert that the displacement or distance equals the position. We might have arrived at a different conclusion if the starting point had been zero, because the distance from zero equals the position.

What precisely do you mean by position, displacement, and distance?

The location of an object (whether a person, a ball, or a particle) at a given point in time is referred to as its position. The displacement of an object is the difference in its position from one time to the next. Distance is the total amount the object has traveled in a certain period of time.

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Answer:

$4 : $16

Explanation:

Answer: 10:20

Explanation:

Estimating the number of apples that is the energy equivalent of 1 gallon of gasoline is difficult, as the energy content of both substances is different. However, we can calculate the energy content of one gallon of gasoline and compare it to the energy content of one apple. So, approximately 1,045,454 medium-sized apples will be the energy equivalent of one gallon of gasoline.

Explanation:

What is the energy content of 1 gallon of gasoline?

The energy content of gasoline is measured in British Thermal Units (BTUs). According to the US Energy Information Administration, one gallon of gasoline contains approximately 115,000 BTUs.Therefore, to calculate the number of apples that are the energy equivalent of one gallon of gasoline, we need to determine the energy content of one apple.

Calculating the energy content of apples:

The energy content of an apple varies depending on its size and type, but on average, one medium-sized apple contains about 95 calories or 0.00011 BTUs.To calculate how many apples are equivalent to one gallon of gasoline, divide the BTU content of gasoline by the BTU content of one apple:115,000 BTUs ÷ 0.00011 BTUs/apple ≈ 1,045,454 applesTherefore, approximately 1,045,454 medium-sized apples are the energy equivalent of one gallon of gasoline.

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Answer: green car and red car

Explanation:

Answer:

it is white car for the first question and for the second it goes green slowest and white fastest red is in the middle

Answer:

I = 1/2 M R^2       moment of inertia

Translational energy due to rotation

Er = 1/2 I ω^2 = 1/2 M R^2 ω^2 = 1/2 M V^2       since V = R ω

Thus (A) the translational KE is equal to the rotational energy and

Ek = Er + Et      for the total energy of the cylinder

Answer:

the answer up top is correct

gas is the answer for this question

can you make me a brainlist

Answer:

10m/s2

Explanation:

f=ma

f/m= a

or,250/25=a

or,10 = a

therfore, acceleration is produced 10m/s2

The magnitude of the net upward force exerted by the paramedics is 676.73 N.

The net upward force exerted by the paramedics is calculated by resolving the forces into vertical and horizontal components. But we will only consider the vertical components since we are looking for the net upward force.

For first force;

F₁y = F sinθ

where;

F₁y = (470) sin(64)

F₁y = 422.43 N

For second force;

F₂y = 380 x sin(42)

F₂y =  254.3 N

The net upward force is calculated as;

F = 422.43 N + 254.3 N

F = 676.73 N

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According to the information, we can infer that the correct sentence is: A mosquito flying with a velocity of 5 m/s (option C).

Momentum is a term that refers to a physical property of moving objects. Momentum is a measure of the amount of motion a moving object has and is related to the mass and velocity of the object.

Based on the above, we can infer that the correct option is correct because the fly would have more momentum than the other objects because its mass is less W

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Answer:

Crude oils

Explanation:

The correct word should be crude oils.

Crude oil is a non-renewable resource that is geologically formed and found deep in the ground. It is a naturally occurring mixture of hydrocarbons and usually fractionated to serve different purposes for the use of man. Crude oils are non-renewable because the rate at which humans exploit them is quite faster than the rate at which they are being naturally replenished deep in the ground.

All millisecond pulsars are now, or once were, members of binary-star systems. This statement is option a. true

Millisecond pulsars are now, or once were, members of binary-star systems. They are highly-magnetized, fast-spinning neutron stars formed through the transfer of mass from a companion star in a binary system. This transfer of mass leads to an increase in the pulsar's rotation speed, resulting in very rapid rotation periods, typically in the range of milliseconds.

Highly magnetised neutron stars known as pulsars produce electromagnetic radiation beams along their magnetic axes as they rotate. They were initially believed to be artificial signals from extraterrestrial intelligence when they were first found in 1967 by Jocelyn Bell Burnell and Antony Hewish. Pulsars can rotate up to several hundred times per second and release radiation at a variety of wavelengths, including radio waves and gamma rays. A number of astrophysical phenomena, including the behaviour of matter under extreme circumstances, the workings of gravity, and the makeup of the Milky Way galaxy, can be studied using the radiation emitted by pulsars.

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The Poynting vector for the given electric and magnetic fields is S = 33.12^i - 57.84^j + 2.56^k (units: W/m²).To determine the Poynting vector, we can use the formula:

S = E x B

where S is the Poynting vector, E is the electric field vector, and B is the magnetic field vector.

Given:

E→ = (80.0^i + 32.0^j - 64.0^k) N/C

B→ = (0.200^i + 0.0800^j + 0.290^k) µT

Let's convert the magnetic field from µT to T by multiplying it by 10^-6.

B→ = (0.200^i + 0.0800^j + 0.290^k) T

Now we can calculate the cross product of E→ and B→ to find the Poynting vector:

S = E x B

Expanding the cross product, we get:

S = (E_y * B_z - E_z * B_y) i + (E_z * B_x - E_x * B_z) j + (E_x * B_y - E_y * B_x) k

Plugging in the given values, we have:

S = (32.0 * 0.290 - (-64.0) * 0.0800) i + ((-64.0) * 0.200 - 80.0 * 0.290) j + (80.0 * 0.0800 - 32.0 * 0.200) k

Simplifying the calculations, we find:

S = 33.12 i + (-57.84) j + 2.56 k

Therefore, the Poynting vector for the given electric and magnetic fields is S = 33.12^i - 57.84^j + 2.56^k (units: W/m²).

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The Frequency of the resultant pendulum will also be 2 Hz as f does not depend on mass.

The Oscillation frequency of a pendulum depends on 3 things

1. Lenght of string (L).

2. Gravitational pull which is constant for a  planet for earth it 9.8 m/s2.

3. Pie (π)  (Which is again Constant 3.14....)

And this case both the things, length, and g(Gravitational pull) are constant so the frequency will also be the same.

As T = 2π√(L/g) ........ T (Time)

And Frequency  = 1/T so it only required the length of string on which the mass is suspended so it will be constant as the length is taken as same as before.

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Answer:

The thermal energy absorbed is 66.98 kJ.

Explanation:

The thermal energy absorbed can be found by using the following equation:

\( Q = mC\Delta T \)

Where:

Q: is the thermal energy =?

m: is the mass of water = 2.00x10² g

ΔT = T₂ - T₁ = 140 °C - 60 °C = 80 °C

C: is the specific heat of water = 4.186 J/(°C*g)

Hence, the thermal energy absorbed is:  

\(Q = mC\Delta T = 2.00 \cdot 10^{2} g*4.186 \frac{J}{^{\circ} C*g}*80 ^{\circ} C = 66976 J = 66.98 kJ\)

Therefore, the thermal energy absorbed is 66.98 kJ.

I hope it helps you!    

The thermal energy absorbed will be 66.98 kJ.heat loss is inverse to heat gain.

Heat gain is defined as the amount of heat required to increase the temperature of a substance by some degree of Celcius.

Given data;

Q(thermal energy) =?

m(mass of water) = 2.00x10² g

C(specific heat of water) = 4.186 J/(°C*g)

ΔT = T₂ - T₁

ΔT = 140 °C - 60 °C

ΔT = 80 °C

It is given by the formula as ;

\(\rm Q= mcdt \\\\ Q= 2.00x10^2 \times 4.186 \times 80 \\\\ Q=66.98 \ kJ.\)

Hence, the thermal energy absorbed will be 66.98 kJ.

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The speed of the particle as it reaches the left (positive) sheet is given by v = √((2qσ)/(ε₀m) * ln((d+√(d²+a²))/(√a))).

We can use the conservation of energy to solve this problem. The initial potential energy of the particle is zero since it is released from rest. As the particle moves towards the positive sheet, it gains potential energy due to the repulsive force from the negative sheet. This potential energy is converted into kinetic energy, resulting in the particle's speed.

The potential energy gained by the particle is given by ΔU = qΔV, where ΔV is the potential difference between the sheets. ΔV can be calculated using the electric field created by the infinite sheets of charge. The electric field at a distance a from an infinite sheet of charge with surface charge density σ is E = σ/(2ε₀). Therefore, ΔV = E * d = (σd)/(2ε₀).

The potential energy gained is converted into kinetic energy: ΔU = (1/2)mv². Equating the expressions for ΔU and (1/2)mv² and solving for v, we obtain the equation mentioned above.

Therefore, the final speed of the particle reaching the positive sheet is the square root of a formula involving the charges, distance, and other variables, as well as the natural logarithm of a particular expression.

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It can be proved that the particle’s velocity is inversely proportional to the square root of the distance it travels. The particle's motion is symmetric about the midpoint of the sheets. Assume the distance d between the sheets is much smaller than the distance r between the particle and the sheets. Let the midpoint of the sheets be the origin of the coordinate system. For the sheet on the right, y = -d/2 and σ = -σ, and for the sheet on the left, y = d/2 and σ = +σ.Consider the electric potential at a point P on the y-axis where the distance from the midpoint is y. Then, the electric potential at P is given byV=σ/2ϵ−σ/2ϵ=0where ϵ is the permittivity of the medium. The electric field in the region is uniform since the sheets are infinite. The electric field vector is directed toward the negative sheet. Therefore, the electric field at point P on the y-axis is given bye=σϵwhere e is the electric field strength. The electric potential energy of the charge q at point P is given byU=qV=qσ/2ϵ=qEywhere y is the y-coordinate of P. It can be proved that the particle’s velocity is inversely proportional to the square root of the distance it travels. Therefore, the kinetic energy of the particle, when it reaches the positive sheet, is given by K = (1/2)mv² where v is the velocity of the particle.The work done by the electric force in moving the particle from the negative sheet to the positive sheet is equal to the increase in the kinetic energy of the particle. Therefore, W = K - 0 = (1/2)mv²The work done by the electric force is given by

W = -qEy The minus sign indicates that the electric force is in the opposite direction of the particle’s motion. Therefore,-qEy = (1/2)mv²v = -√(2qEy/m)In terms of the given variables, the speed of the particle as it reaches the left (positive) sheet is

v = -√(2qσd/ϵm)

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The potential difference across capacitor C2 can be determined using the formula for capacitance in a series circuit. In a series circuit, the total capacitance (Ct) is the reciprocal of the sum of the reciprocals of the individual capacitances.

To find the potential difference across C2, we need to first calculate the total capacitance (Ct) of the circuit.
Ct = 1/(1/C1 + 1/C2 + 1/C3)
Substituting the given values:
Ct = 1/(1/10.0μF + 1/20μF + 1/25μF)
Simplifying this equation will give us the total capacitance (Ct) of the circuit.
Next, we can use the formula for potential difference (V) across a capacitor in a series circuit:
V = (Ct / C2) * V0
Substituting the values:
V = (Ct / 20μF) * 48V
Simplifying this equation will give us the potential difference across C2.
It is important to remember to carry out the necessary calculations to find the final answer.
To summarize, to find the potential difference across C2, you will need to calculate the total capacitance (Ct) of the circuit using the formula 1/(1/C1 + 1/C2 + 1/C3). Then, use the formula (Ct / C2) * V0 to find the potential difference across C2.

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