A block of wood has density 0.500 g/cm3 and mass 2 000 g. It floats in a container of oil (the oil's density is 0.750 g/cm3). What volume of oil does the wood displace

The number of photons in the pulse is 1.21 × 1022.

The energy of a photon can be calculated using the equation:

E = hf, where

E is the energy of a photon,

h is the Planck's constant, and

f is the frequency of the light.

Then, using the equation c = λf, where

c is the speed of light,

λ is the wavelength of the light and

f is the frequency of the light, the frequency of the light can be determined.

Planck's constant (h) is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency.

Its value is 6.626 × 10-34 joule seconds (J·s).

The frequency of the light is:

f = c / λ

= 3.00 × 108 / 480 × 10-9

= 6.25 × 1014 Hz

The energy of the photon can be calculated:

E = hf

= 6.626 × 10-34 × 6.25 × 1014

= 4.14 × 10-19 J

The number of photons can be determined by dividing the energy of the pulse by the energy of a photon:

n = E / E_photon

= 5.0 × 103 / 4.14 × 10-19

= 1.21 × 1022 photons

Therefore, the number of photons in the pulse is 1.21 × 1022.

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Answer:

5 m/s

Explanation:

hope it helps:) u're welcome

The velocity of the duck must be 15 m/s towards the east which is explained below.

The force on a moving charge with some velocity under a magnetic field is given by:

F = qv×B

here q is the charge on the object

v is the velocity of the object

B is the magnetic field

v×B gives the direction of the force

B is towards the north, and Force is directed upwards, then velocity v should be towards the east.

3×10⁻¹¹ = 4×10⁻⁸× v × 5×10⁻⁵

v = 15 m/s

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Answer:

In a series circuit, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the voltage divided by the equivalent resistance. The potential drop across each resistor can be found using Ohm's law.

Answer:

 U = 2,195 10⁵ J

Explanation:

The potential energy is

      U = m g and

in this case each person has a mass of 75 kg and the elevator has a mass of 500 kg, the total mass is

 m_total = m_elevator + 4 m_person

      m_total = 500 + 4 75

      m_toal = 800 kg

let's calculate

       U = 800 9.8 28

       U = 2,195 10⁵ J

Answer:

H = 0.06 kWh

Explanation:

Given that,

Power of an electric lamp, P = 60 W

Voltage, V = 240 V

It is operated for 1 hour

We need to find the heat generated by the lamp. Heat generated is given by :

\(H=P\times t\\\\H=60\ W\times 1\ h\\\\H=60\ Wh\\\\H=0.06\ kWh\)

So, 0.06 kWh of the heat is generated by the lamp.

Polar substances are likely to dissolve in polar solvents.

Your answer is B.

Answer:

When boiling occurs, the more energetic molecules change to a gas, spread out, and form bubbles. ... In addition, gas molecules leaving the liquid remove thermal energy from the liquid. Therefore the temperature of the liquid remains constant during boiling.

Answer:

nice

Explanation:

Answer:

C

Explanation:

Answer:

C on plato

Explanation:

Certainly, I'd be happy to help you. Can you please provide me with the question or problem that you need help with? Once I have that information, I'll be able to give you a clear and thorough answer with step-by-step work included.

In the meantime, I can offer you some general advice on how to approach math problems. The key to solving any math problem is to carefully read the problem and make sure you understand what it's asking you to do. Next, you'll want to identify any formulas or strategies that you can use to solve the problem. Then, you'll need to apply those formulas or strategies to the problem and carefully show your work step-by-step.

It's important to show your work not only because it helps you organize your thoughts and ensure that you're on the right track, but also because it helps your teacher or professor see your thought process and determine how you arrived at your answer. Additionally, showing your work can help you identify any mistakes you might have made and allow you to correct them before you submit your final answer.

In summary, taking the time to carefully read the problem, identify applicable formulas or strategies, and show your work step-by-step are essential to solving any math problem.

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\(\\ \sf\longmapsto m1v1+m2v2=(m1+m2)v3\)

\(\\ \sf\longmapsto 7(17)+8(-14)=(7+8)v3\)

\(\\ \sf\longmapsto 119-112=15v3\)

\(\\ \sf\longmapsto 15v3=7\)

\(\\ \sf\longmapsto v3=7/15\)

\(\\ \sf\longmapsto v3=2.1m/s\)

The trip takes a total of 1.5 hours and has an average speed of 40 mph.

To calculate the time taken for each leg of the trip, we can use the formula time = distance/speed.

For the first leg of the trip, the car travels 15 miles at a speed of 45 mph. Using the formula, we find that the time taken for this leg is 15/45 = 0.33 hours.

For the second leg of the trip, the car travels another 15 miles but at a speed of 30 mph. Using the formula, we find that the time taken for this leg is 15/30 = 0.5 hours.

To find the total time for the trip, we add the times for each leg: 0.33 hours + 0.5 hours = 0.83 hours.

To calculate the average speed for the entire trip, we use the formula average speed = total distance/total time. The total distance traveled is 15 miles + 15 miles = 30 miles. The total time taken is 0.83 hours. Plugging these values into the formula, we find that the average speed for the trip is 30/0.83 = 36.14 mph.

Therefore, the trip takes a total of 1.5 hours and has an average speed of 40 mph.

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Answer:

Well, a fresh off the fruit peel, although smooth by touch, has enough friction to prevent a major slip and fall. ... As the banana peel stays on the ground, it begins to rot and get slimy. If someone were to then step on that rotting, slimy banana peel, they would be in for a decent slip.

Explanation:

Answer:

A.speed

Explanation:

I didn't quite get the question but hope this helps

Answer:

12.1 s

Explanation:

Since the two rugby players start at rest, we use the equation of motion

x - x₀ = ut + 1/2at² where x₀ = initial position, x = final position, u = initial velocity, a = acceleration and t = time

Now for Player 1, x₀ = 0 , u = 0 and a = 1.9 m/s²

So, x₁ - 0 = 0t + 1/2(1.9 m/s²)t² = 0.95t²

x₁ = 0.95t²

Now for Player 2, x₀ = 51 m , u = 0 m/s and a = 1.2 m/s²

So, x₂ - 51 = 0t + 1/2(1.2 m/s²)t² = 0.6t²

x₂ - 51 = 0.6t²

x₂ = 51 + 0.6t²

We find the time when x₁ = x₂, when the players collide

So, equating both expressions, we have

0.95t² = 51 + 0.6t²

collecting like terms, we have

0.95t² - 0.6t² = 51

0.35t² = 51

t² = 51/0.35

t² = 145.714

t = ±√145.714

t = ± 12.07 s

t ≅ ±12.1 s

Since t cannot be negative, we take t = + 12.1 s.

So, 12.1 s elapses before the players collide.

The maximum horizontal force that can be applied to the lower block without the upper block slipping is approximately 10.29 N.

To determine the maximum horizontal force that can be applied to the lower block without the upper block slipping, we need to consider the force of static friction between the two blocks.

The maximum force of static friction (F_static_max) can be calculated using the equation:

F_static_max = μ * N

where μ is the coefficient of static friction and N is the normal force between the blocks.

In this case, the normal force (N) is equal to the weight of the upper block, which can be calculated as:

N = m * g

where m is the mass of the upper block and g is the acceleration due to gravity.

Given that the two blocks are identical and each has a mass of 3 kg, the normal force is:

N = (3 kg) * (9.8 m/s^2) = 29.4 N

Now we can calculate the maximum force of static friction:

F_static_max = (0.35) * (29.4 N) ≈ 10.29 N

Therefore, the maximum horizontal force that can be applied to the lower block without the upper block slipping is approximately 10.29 N.

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Answer:

566.73 N and 78.7°

Explanation:

I've attached a diagram to show the forces and angle as indicated in the question.

From the free body diagram, we can see that the resultant force is labeled as C.

Using law of cosine, we can find C.

Thus:

C² = a² + b² - 2(ab)cos θ

C = √(a² + b² - 2(ab)cos θ)

C = √(600² + 800² - 2(600 × 800)(cos 45))

C = √(360000 + 640000 - (960000 × 0.7071))

C = 566.73 N

Direction will be gotten by using sine rule:

800/sin b = 566.73/sin 44

sin b = (800sin 44)/566.73

sin b = 0.9806

b = sin^(-1) 0.9806

b = 78.7°

Answer:

a)\(\frac{4}{24}\)

b)\(\frac{15}{100}\)

c)\(\frac{76}{400}\)

d)\(\frac{7}{20}\)

The perturbation potential equation is a mathematical model that describes the behavior of a system under small disturbances.

It is derived using the principles of linearization, which means that the equations are valid only for small deviations from the equilibrium state. Therefore, it is true that the perturbation potential equation is only valid for small disturbances.
When the magnitude of the disturbance is large, the system may exhibit nonlinear behavior, which cannot be described using the perturbation potential equation. In such cases, more complex models, such as numerical simulations or nonlinear equations, may be required to accurately describe the system's behavior.
In summary, the perturbation potential equation is a valuable tool for analyzing the response of a system to small disturbances, but it has its limitations. It is important to understand the scope and assumptions of any mathematical model before using it to make predictions or draw conclusions about a real-world system.

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The moment of inertia on the Earth is found to be 9.83 x 10³⁷ kgm², which can be defined as a physical quantity that resists rotational motion around an axis.  

The moment of inertia of a uniform sphere is given by using the following formula:

I = (2/5)MR²,

where M is the mass and R is the sphere's radius.

I = (2/5)(5.97x10²⁴)(6.38x10⁶)²

= 9.83x10³⁷ kgm²

Part B: Rather than being a perfect sphere, the Earth is an oblate spheroid, which is the accurate expression. The distance from the center to the equator of a spheroid is slightly more than the distance from the center to the poles.

This resembles the shape of a beach ball that is being propelled forward from above while resting on the ground. When compared to a uniform sphere, the Earth's shape results in the mass being spread farther from the axis of rotation near the equator than at the poles, which lowers the moment of inertia.

Part C:

The rotational kinetic energy of the Earth is given by:

K Erot = (1/2)Iω²,

where I is the moment of inertia and ω is the angular velocity. Using the moment of inertia calculated in Part A and the period of rotation given in the introduction, we have:

ω = 2 x π/(24.0 hours) = 7.27x10⁻⁵ rad/s

K Erot = (1/2)(9.83x10³⁷)(7.27x10⁻⁵)²

= 2.14x10²⁹ J

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Answer:

convection because it's not a conductor nor does it have radiation.

Therefore, the distance travelled at the reduced speed is 299 km.

You are driving home from school at 96 km/h for 150 km and then it starts raining. You slow to 63 km/h instantly and arrive home after driving for 5.0 hours. We have been given the initial speed of the vehicle, the distance it travels at that speed, the time taken, the final speed of the vehicle, and the total time it takes to complete the journey. We have to determine the distance traveled at the reduced speed.

Therefore, Total distance travelled = Distance travelled at 1st speed + Distance travelled at reduced speed

Let d be the distance traveled at the reduced speed, then;

Distance travelled at 1st speed = 150 km

Distance travelled at reduced speed = d km

Total distance travelled = Distance travelled at 1st speed + Distance travelled at reduced speed150 + d = Total distance

(1)We know that,

Speed = Distance ÷ Time

Speed when driving at 96 km/h = 96 km/h

Speed when driving at 63 km/h = 63 km/h, Time taken = 5.0 hours

We can calculate the distance traveled at the reduced speed as follows;

Using the first speed:

Distance = Speed x Time = 96 km/h × t

Where t is the time spent at the first speed.

When the vehicle starts to move at 63 km/h, the remaining distance to cover is (150 - 96t) km.

We can calculate the time it takes to travel this distance at 63 km/h using;

Time = Distance ÷ Speed= (150 - 96t) ÷ 63

Using the total time, we can find the time spent at the first speed:

Total Time = t + (150 - 96t) ÷ 63.5 = t + 2.38 - 0.015t4.62 = 0.985t

We can now calculate the time spent at the first speed:

t = 4.68 hours

Substituting this value of t into the equation above;

Distance = 96 km/h × 4.68

Distance = 449 km

Substituting this value of d in equation (1);

150 + d = 449d = 449 - 150d = 299 km

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when holding your plastic shopping bag between the light source and the wall we will observe a large shadow in a dark color on the wall.

When we hold the largest plastic shopping bag between the light source and the wall the plastic bag will block the light.

When an object blocks the light way light can't pass through that object and where the light can't pass there we will observe a dark shadow  

So here we can say that when we hold a bag between light and wall we will observe a shadow  

If the bag is transparent still will we can see a shadow but not as dark as before because when light passes through a transparent it will allow some light through it but not like other materials.

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Answer:

y e s

Explanation:

In order to prevent the Ferris wheel from accelerate, the forces must be balanced. Newton's first law of motion states that unless an unbalanced force acts upon a body.

it will remain in its state of rest or uniform motion. The Ferris wheel moves at a consistent speed in a vertical circle, as stated in the question. Unbalanced force is what happens when two forces operating in opposition to one another on a body are not of the same size and magnitude and accelerate.

Keep in mind that the constant speed implies that the forces are in balance, as the Ferris wheel would accelerate under an unbalanced force.

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To maintain a constant velocity, the force applied must be equal to the force of friction.

This is because, according to Newton's first law of motion, an object in motion will remain in motion at a constant velocity unless acted upon by an external force.

In this case, the external force is the force of friction, which is trying to slow down the crate.

Therefore, to maintain a constant velocity, we need to apply a force that is equal in magnitude but opposite in direction to the force of friction.

So, the force that must be applied to maintain a constant velocity is 272 N.

In equation form, this can be written as:

Fapplied = Ffriction

Fapplied = 272 N

Therefore, the force that must be applied to maintain a constant velocity is 272 N.

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The volume of the balloon is 234.88L.

Volume can be defined as the capacity of a solid shape.

To calculate the volume of the balloon, we use the formula below.

Formula:

Where:

Make V' the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The volume of the balloon is 234.88L.

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Answer:

D.

Explanation:

Force and distance are inversely related, so a greater distance results in a weaker force.

Answer:

The Ability to do work

Explanation:

energy is needed to do work because without energy no work can be done due to the fact that there is no energy

Answer: 0.28 A

Explanation: