When a box rests on a round sheet of wood on the ground, it exerts an average pressure p on the wood. If the wood is replaced by a sheet that has half the diameter of the original piece, what is the new average pressure? I think the answer is 4p but I don't know why.

Answers

Answer 1

Pressure is (weight of the box) / (area under the bottom of the box). Neither of those quantities depends on the area of whatever is under the box. You could move the box from the deck of a battleship and put it on the kitchen table. The pressure it exerts doesn't change.


Answer 2

The new average pressure (P₂) is indeed 4 times the original average pressure (P₁). So, the answer would be 4p.

The average pressure exerted by an object on a surface is defined as the force applied perpendicular to the surface divided by the area over which the force is distributed. Mathematically, average pressure (P) can be represented as:

P = F / A

where F is the force and A is the area.

The original round sheet of wood first. When the box is resting on it, the force exerted by the box (weight) is the same regardless of the size of the sheet. However, the area over which this force is distributed will change when the sheet's diameter changes.

The area of the original round sheet of wood is A₁, and the area of the new sheet with half the diameter is A₂.

Since the force (F) is the same in both cases (as it depends on the weight of the box, which remains constant), we can write:

P₁ = F / A₁ (Original average pressure)

P₂= F / A₂. (New average pressure)

Now, know that the area of a circle is given by the formula:

A = πr²

where r is the radius of the circle.

If the diameter of the original sheet of wood is D, then the radius of the original sheet is D/2. The area A₁ can be represented as:

A₁ = π (D/2)² = πD² / 4

Now, for the new sheet with half the diameter, the new diameter would be D/2, and the radius of the new sheet is (D/2)/2 = D/4. The area A₂ can be represented as:

A₂ = π * (D/4)² = π * D² / 16

Now, let's compare the new average pressure (P₂) to the original average pressure (P₁):

P₂ = F / A₂ = F / (π * D² / 16) = 16F / π D²

Since the original average pressure (P₁) is P₁ = F / A₁ = F / (π * D² / 4) = 4F / π * D²

We can see that P₂ is 16 times larger than P₁:

P₂ / P₁ = (16F / π * D²) / (4F / π * D²) = 16

Therefore, the new average pressure (P₂) is indeed 4 times the original average pressure (P₁). So, the answer is indeed 4p.

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Related Questions

this is a diagram of the first right hand rule relates to which two

Will mark as brailiest

Answers

Hey mate,

Here is the Answer,

A. Current ( thumb ) to Magnetic field (fingers ) ..

A rocket ship starts from rest and turns on its forward booster rockets, causing it to have a constant acceleration of 4 m/s^2 rightward. After 3s, what will be the velocity of the rocket ship? Answer using a coordinate system where rightward is positive.

Answers

here rocket starts from rest

It turns the booster and continue with constant acceleration

[tex]a = 4 m/s^2[/tex]

now in order to find the final velocity we can use kinematics equation

[tex]v_f = v_i + at[/tex]

here we know that

[tex]v_i = 0[/tex]

t = 3 s

now plug in all data in above equation

[tex]v_f = 0 + 4*3[/tex]

[tex]v_f = 12 m/s[/tex]

so the rocket will move rightwards with speed 12 m/s after 3 s of boosters

Equation for 20 m/s and 26 m/s for final and initial velocity

Answers

26 m/s - 20 m/s = 6 m/s

why is a person who lives in the city able to sleep through the sounds of traffic but awaken to the soft sound of bird singing

Answers

They grew up  to that sound. They love the sound of that same traffic sound.

They are used to hearing city stuff. Not necessarily birds so they will wake up to a different sound

in which type of collision do the two objects always have equal velocity after the collision
a. Perfectly inelastic
b. inelastic
c. No Type of collision
d. Elastic

Answers

Answer: Option A

Explanation: In an elastic collision, the two objects only will have the same velocity after the collision if the had it before.

Now, in an inelastic collision the kinetic energy is not conserved, so there is a chance that the two objects that started with a different velocity end with the same, and that case is called "Perfectly inelastic" it occurs when the maximum kinetic energy is absorbed, and both objects "stick" to each other and move together as one, so the correct option is option A.

calculate the voltage difference in a circuit that has a resistance of 24 if the current is 0.50 a

Answers

In order to calculate the voltage difference in the circuit, we need to look at the equation: V=IR.

In the equation:

V= Voltage

I= Current

R= Resistance.


Assuming we know this, We will plug it into an equation to find our voltage.

V=(.50a)x(24Ω)

If we solve for V, Your final answer will be: 12v (or 12 volts)

The voltage difference in a circuit that has the given resistance and current is 12 Volts.

Given the data in the question;

Resistance; [tex]R = 24 ohms[/tex]Current; [tex]I = 0.50A[/tex]

We know that; current is the ratio of potential difference and resistance.

It is expressed as:

[tex]I = \frac{V}{R}[/tex]

We substitute our given values into the equation and solve for the voltage

[tex]0.50A = \frac{V}{24ohms}\\\\V = 0.50A \ *\ 24ohms\\\\V = 12Volts[/tex]

Therefore,  the voltage difference in a circuit that has the given resistance and current is 12 Volts.

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Which of the following factors affects the pressure of an enclosed gas

Answers

The answer is:

All the above

The explanation:

The volume and the temperature and the number of particles will affect the pressure of an enclosed gas.

because according to boyle's law when the temperature constant so the pressure and volume of a gas have an inverse relationship, when temperature is constant.

when:

PV = nRT

when p is the pressure

V is the volume

n is number of moles

T is temperature

from this law we can know that there is a relation  between P and V and when n has a relation with the number of particles so:

volume , temperature and number of particles affect the pressure of an enclosed gas.

Final answer:

The pressure of an enclosed gas can be affected by the volume of the container, the temperature of the gas, and the amount of gas within the container.

Explanation:

The pressure of an enclosed gas is affected by various factors including volume, temperature, and the amount of gas. When the volume of a gas container is decreased, there is less space for the gas molecules to move around, resulting in more frequent collisions with the container walls and an increase in pressure. This relationship is an example of Boyle's law. Conversely, increasing the volume will decrease the pressure. Additionally, raising the temperature of the gas increases the kinetic energy of the molecules, leading to more frequent and forceful collisions with the walls, thus increasing the pressure. Lastly, adding more gas molecules to the container, while keeping the volume and temperature constant, will also increase the pressure because there are more molecules to collide with the container walls per unit time.

for each of the following objects ,tell which metric unit of measurement you would use: A.length of an ant. B.mass of a postage stamp C.volume of a large jug of milk. D.mass of a truck

Answers

Centimeters, millimeters, liter, and pounds. Hop this helped

which of the following best describes the way that scientists make observations

Answers

i don’t see any answer choice but the best way is asking questions about the natural phenomenon, making hypothesis, and predicting the consequences in the hypothesis.

A sound wave is created in an unknown substance with a frequency of 24kHz. Using extremely sensitive sensors, it is determined that the sound wave travels through a piece of this substance that is 3.5 m long in .919 millisecond. Determine the substance that this sound wave is traveling through.

Answers

velocity is of sound id defined as distance covered by sound per unit time

here given that

distance covered by sound = 3.5 m

time taken by the sound = 0.919 millisecond

So the velocity of sound will be given as

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{3.5}{0.919* 10^{-3}}[/tex]

[tex]v = 3808.5 m/s[/tex]

so the speed of sound in the given medium is 3808.5 m/s

As we know that speed of sound in any substance is given as

[tex]v = \sqrt{\frac{E}{\rho}}[/tex]

As per the data available online the speed of sound in gold is 3250 m/s while speed of sound in glass is 4500 m/s

So here we can say the above speed is in between these two mediums whose elasticity and density ratio is more than gold but less than glass.

So this velocity of sound is nearly match with the data obtained for copper

So this speed is approx obtained in copper





How is the enthalpy of vaporization related to intermolecular forces during a phase change?

A)
The temperature increase converts bonding forces into intermolecular forces during vaporization.
Eliminate

B)
The intermolecular energy of vaporization represents a greater change increasing the bonding forces.


C)
The kinetic energy of the ethanol molecules increases strength of the intermolecular forces increases.


D)
The liquid state is stabilized by the molecule's intermolecular forces resulting in a high enthalpy of vaporization.


Answers

Lol I just did this on USA Test Prep. The answer is D.

Option D - The liquid state is stabilized by the molecule's intermolecular forces resulting in a high enthalpy of vaporization → is the correct option.

We have enthalpy of vaporization.

We have to determine how is the enthalpy of vaporization related to intermolecular forces during a phase change.

What are intermolecular forces?

Intramolecular forces are the forces that hold atoms together within a molecule.

According to the question -

The molecules inside liquid are held together by the intermolecular forces. A specific amount of heat energy is required to overcome these intermolecular forces in order to change the state from liquid to gas. This energy is called heat of vaporization. Hence, the intermolecular forces help liquid to stay in a steady state which will ultimately require more energy to separate the molecules.

Therefore, Option D is the correct Alternative.

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A speed-time graph shows a car moving at 10 m/s for 10 s. The cars speed constantly decreases until it comes to a stop at 30 s. Which describes the slope of the graph from 10 s to 30 s

Answers

speed of the car at t = 10 s is given as 10 m/s

now at t = 30 s car comes to rest so v = 0

now in this velocity time graph we can say slope will show the acceleration of the car as we know that acceleration is rate of change in velocity

[tex]a = \frac{v_f - v_i}{\Delta t}[/tex]

as we know that

[tex]v_f = 0[/tex]

[tex]v_i = 10 m/s[/tex]

[tex]\Delta t = (30 - 10) = 20 s[/tex]

now from above formula

[tex]a = \frac{0 - 10}{20} = -0.5 m/s^2[/tex]

So slope of the graph will represent the acceleration of car which is 0.5 m/s^2

Actually the correct answer is going to be Linear, sloping downward.

Please mark Brainliest if this answer helped you.

Jamal wanted only to test the effect of the free fall and so he put his system in a vacuum to prevent air resistance. In free fall, will the crumpled or flat paper reach the ground first? The crumpled paper will reach the ground first. The flat paper will reach the ground first. Both papers will reach the ground at the same time. It is hard to tell which would reach the ground first without experimentation.

Answers

When a paper is crumpled and then released the air drag on the paper is less while when we put the flat paper and released it from rest we can see that there is large surface area due to which it will have more air drag and hence it will reach later

So we can say that air friction or air drag depends on the surface area of object

More will be the surface area more is the drag force of air and hence less is the effective acceleration due to gravity

So when we drop the two objects in vacuum it will not have any friction force

and hence they both will have same gravity downwards

So in that case the two objects will reach the ground in same time

so its answer will be

Both papers will reach the ground at the same time.

Answer:

the answer is they both hit at the same time

Explanation:

An object is dropped from a 15 m ledge. What is the objects final velocity ?

Answers

Answer:

The object's final velocity is approximately \(17.15 \ m/s\) downward.

Which Richter magnitude range can be recorded by instruments but isn't felt? A. less than 2.9 B. 3.0 – 4.9 C. 5.0 – 5.9 D. 6.0 and higher

Answers

A. anything less than 3.0 magnitude on a richters scale usually can't be felt by humans but instruments can pick it up.

Answer:

A. Less than 2.9

Explanation:

Richter scale is a measure of the intensity of the earthquakes designed and developed by Charles Richter in 1935. Its value ranges from 1.0 to 9.0 and greater. The earthquakes having a Richter magnitude of less than 2.9 are minor earthquakes which are slightly felt by a few humans but can be recorded on a seismograph. Earthquakes with magnitude above 2.9 can easily be felt by humans.

The items listed below are found in a science classroom.
1. Heart made of plastic with many of its parts labeled
2. Clay formed to look like Earth and other planets
3. A giant plastic plant cell with removable cell parts

4. Fill in the blank. These items are all examples of
Models
Experiments
Variables
Controls


Answers

I think these are models.

These are all Examples of Models

Question #7 please
Find the answer from the table in the picture

Answers

I need help in this too
Answer:

Sample A: Iodine

Sample B: Bromine

Sample C: Chlorine.

Explanation:Sample A is solid. So according to the melting and boiling points of iodine at 20°C, it will solid.Sample B is liquid. Because according to the melting and boiling points of Bromine at 20°C, it will liquid.Sample C is Gas. Because according to the melting and boiling points of Chlorine at 20°C, it will solid.

a box is sliding across the floor from left to right. which diagram correctly shows the force of fiction acting on the box?

Answers

Friction in this case will act counter to the direction of the box's movement. The box moves left to right, so the force of friction acts in the opposite direction. (D)

Answer: Hello there!

first, we have two notions of the force of friction:

The force of friction is in the opposite direction of the motion direction.

It acts in the contact point between the objects.

Then if the box is moving from left to right, the friction force should point from right to left, and be in the bottom of the box (the contact point between the box and the floor).

The diagram that shows this is the D.

what force is needed to accelerate a mass of 36 kg at 8.6m/sec2

Answers

Solution is given in following attachment.

Which of the following is the correct definition of mechanical energy?
A.
energy stored in chemical bonds of molecules

B.
energy of an object due to the random motion of its atoms and molecules

C.
energy an object has because of its motion or position

D.
energy produced from the splitting of atoms

Answers

energy an object has because of its motion or position . it's chemical engineering and random motion of its atoms and molecules

Tim puts his spare change in a jar each day when he comes home. When the jar is full he separates the coins and takes them to the bank. The coins would be classified as a _________. A) compound B) element C) mixture D) solution

Answers

The bunch of stuff in the jar is a mixture. The different kinds of pieces aren't bound to each other, and they can be easily separated.

Mike walks 200 km in 6 hours.he then walks another 100km in 4 hours .what is his average speed?

Answers

Average speed is defined as the ratio of total distance covered in total given time

[tex]speed = \frac{distance}{time}[/tex]

here we know that total distance that man moved is

[tex]d_1 = 200 km[/tex]

[tex]d_2 = 100 km[/tex]

so total distance is

[tex]d = d_1 + d_2[/tex]

[tex]d = 200 km + 100 km[/tex]

[tex]d = 300 km[/tex]

now here total time of the motion is

[tex]t_1 = 6 hours[/tex]

[tex]t_2 = 4 hours[/tex]

total time will be given as

[tex]t = t_1 + t_2 [/tex]

[tex]t = 6 + 4 = 10 hours[/tex]

now by above formula

[tex]v_{avg} = \frac{300}{10}[/tex]

[tex]v_{avg} = 30 km/h[/tex]

so his average speed is 30 km/h

A blow dart is fired horizontally from a height of 1.2 meters. If the dart hits a target that is .6m high and 12m away, what is the initial velocity of the dart?

Answers

Blow dart is projected from a height of 1.2 m

Dart will hit the target at height 0.6 m

so the vertical displacement of the dart will be 1.2 - 0.6 = 0.6 m

here we can say that in vertical direction kinematics is applied

[tex]y = v_i* t + \frac{1}{2}at^2[/tex]

[tex]0.6 = 0 + \frac{1}{2}*9.8*t^2[/tex]

[tex]t = 0.35 s[/tex]

now we can say that dart will hit the target after t = 0.35 s

so in the same time it will cover the distance 12 m in horizontal direction

so here in order to find the initial speed we can say

[tex]d = v * t[/tex]

[tex]12 = v* 0.35[/tex]

[tex]v = \frac{12}{0.35}[/tex]

[tex]v = 34.3 m/s[/tex]

so dart is projected with speed 34.3 m/s in horizontal direction

Final answer:

The blow dart is launched with an initial velocity of around 34.3 m/s. This is determined by calculating the time of flight using the height difference and gravitational acceleration, then determining the velocity using that flight time and the horizontal distance to the target.

Explanation:

The subject of this question is physics, as it requires an understanding of kinematic equations for projectile motion to solve. First, let's figure out how long the dart is in the air. We're going to use the formula h = 0.5 * g * t^2, where h is the height difference (1.2m - 0.6m = 0.6m), and g is the acceleration due to gravity (approximately 9.81 m/s^2). Solving for t, we have sqrt((2*h) / g) = sqrt((2*0.6) / 9.81) = approximately 0.35 seconds.

Now that we know how long the dart was in the air, we can find out its initial horizontal velocity. Since horizontal motion is the constant velocity in the absence of air resistance, the initial velocity is simply the total horizontal distance divided by the time. Therefore, the initial velocity, v, is d / t = 12m / 0.35s = approximately 34.3 m/s. So the dart was launched with an initial velocity of roughly 34.3 m/s.

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can someone answer this for meee?? w

Answers

We know that either team is winning which means that the cumulative forces (sum of each girl force) on both teams are equal.

This means,

[tex]250 + 250 + 250 + 250 = 260 + 260 + 260 + x[/tex]

being x the force of the fourth girl on the east team.

Solving to x, you get

[tex]x = (250 + 250 + 250 + 250) - (260+260+260)

x = 1000 - 780

x = 220[/tex]

The fourth girl on the east is pulling with a force of 220N.

Answer:

The force applied by fourth girl in east team is 220 N.

Explanation.

If neither side is wining, it means that force applied on both sides are equal.

Total force by team west = 250 N * 4 = 1000 N

Total force of 3 girls on east side = 260 N * 3 = 780 N

As we know the east team apply total force of 1000 N.

Force applied by the fourth girl in east team = 1000 N - 780 N = 220 N




According to the law of conservation of matter, which chemical equation represents a possible chemical reaction? A. CaCO3 Fe2O3 B. 2Na + Cl2 2NaCl C. 4Fe + 3O2 C6H12O6 + 6O2 D. C6H12O6 + 6O2 CaO + CO2

Answers

The correct answer is:

B. 2Na + Cl2 --> 2NaCl

In fact, this is the only reaction among the choices where the number of atoms of each element is conserved. In fact, we see that on the left we have 2 atoms of sodium and 2 atoms of chlorine, and on the right we have two molecules of NaCl, which means that we still have 2 atoms of sodium (Na) and 2 atoms of chlorine (Cl).

Snow has been lying on a mountainside. Suddenly, it starts to move down the mountain. Which types of friction are observed in this avalanche? Where does each type occur?

Answers

Snow starts to move down the mountain

The energy which is due to position is potential energy. So when the snow is lying on the mountain. It possess potential energy but when suddenly, it starts to move down the mountain, the potential energy is converted into the kinetic energy. Yet some force is exerting on the snow to stop the smooth flow of snow through mountains.

This example of frictional force may be due to presence of rough surface or stones. Generally, there are four types of friction as static, rolling, sliding and fluid friction. Though in this case when snow is lying it possess static friction, when flows then it possesses sliding and fluid friction both.

A 422N block is sitting on a frictionless surface and is connected by a massless, extension-less rope over a frictionless pulley to a 185N mass. What is the acceleration of the blocks and the tension in the cable.

Answers

solution is written in attached image.

Final answer:

To find the acceleration of the blocks and the tension in the cable, we can use Newton's second law of motion and set up equations for the hanging mass and the block on the surface. Solving these equations will give us the values we need.

Explanation:Tension and Acceleration in a Two-Block System

In order to find the acceleration of the blocks and the tension in the cable, we can use Newton's second law of motion which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this system, the force of gravity acting on the hanging mass mg pulls it downward, while the tension in the cable T pulls it upward. Since the system is frictionless, the acceleration of both blocks will be the same and can be represented as a.

Applying Newton's second law to each block, we can set up the following equations:

For the hanging mass: mg - T = ma

For the block on the surface: T = mR

where m is the mass of the hanging block, g is the acceleration due to gravity, a is the acceleration of the system, and R is the mass of the block on the surface.

Solving these equations simultaneously will give us the value of the acceleration and the tension in the cable.

Newton’s _______ law states than an object at rest will remain at rest and an object in motion will stay in straight line motion unless acted upon by an unbalanced force

Answers

The answer is Newton's First law of motion.

Answer:

Newton's First law of motion.

Explanation:

Newton's First law of motion -

Newton' s first law of motion , also called the law of inertia .

According to this law , when an object is at rest or at stationary position , stays at that position and when the object is at motion , continues to be at the motion unless and until some force is acted on it .

Hence , the correct law for the given statement of the question , is Newton's First law of motion .

High voltage power lines transmit electrical energy at 240,000 V. Before the current reaches your home, the voltage is decreased to the standard voltage for a wall socket. If a single step-down transformer is used, what is the ratio of turns in the primary coil to the secondary coil?

Answers

Transformer is used to change the voltage from higher value to lower value

It is done by changing the number of coils in primary and secondary coils

The working equation is given as

[tex]\frac{V_s}{V_p} = \frac{N_s}{N_p}[/tex]

here we have

[tex]V_s[/tex] = Secondary coil voltage = 120 V

[tex]V_p[/tex] = Primary coil voltage = 240,000 V

[tex]N_s[/tex] = Turns in secondary coil

[tex]N_p[/tex] = Turns in primary coil

Now by using the equation above

[tex]\frac{120}{240,000} = \frac{N_s}{N_p}[/tex]

now we have

[tex]\frac{N_p}{N_s} = \frac{240,000}{120}[/tex]

[tex]\frac{N_p}{N_s} = 2000[/tex]

so the ratio must be 2000

2000:1 is the ratio of the number of turns in the primary coil to the secondary coil of a transformer that steps down the voltage from 240,000 V to 120 V.

The ratio of the number of turns in the primary coil ([tex]n_p[/tex]) to the secondary coil ([tex]n_s[/tex]) of a transformer is directly related to the input ([tex]V_p[/tex]) and output voltage ([tex]V_s[/tex]).

The formula to calculate this ratio is:

[tex](V_p / V_s) = (n_p / n_s)[/tex]

Given:

Primary voltage ([tex]V_p[/tex]) = 240,000 VSecondary voltage ([tex]V_s[/tex]) = 120 V (standard voltage in a wall socket)

Using the formula:

[tex](240,000 V / 120 V) = (n_p / n_s)[/tex]

This simplifies to:

[tex]2000 = (n_p / n_s)[/tex]

Therefore, the ratio of the number of turns in the primary coil to the secondary coil is 2000:1.

Suppose a candle is burning, and wind is blowing on one side of the flame. Which principle explains why the flame bends toward the wind?

Answers

Can u tell me the answer choices? Than I will help.

Answer: Bernoulli’s

Explanation:

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