an air bubble originating from an underwater diver has a radius of 8 mm at some depth h. when the bubble reaches the surface of the water, it has a radius of 10.5 mm. assuming the temperature of the air in the bubble remains constant, determine the depth of the diver. the acceleration due to gravity is 9.8 m/s 2 .

Answers

Answer 1

Depth of river is =12.23m

The volume of the air bubble is conserved since the temperature of the air in the bubble remains constant. Therefore, we can use the conservation of volume to relate the radius of the bubble at depth h, r1, to the radius of the bubble at the surface, r2:

V1 = V2

4/3πr1^3 = 4/3πr2^3

r1^3 = r2^3 x (V1 / V2)

We can use the equation for the pressure of a fluid at depth h:

P = ρgh

where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth.

The pressure inside the bubble at depth h is equal to the sum of the atmospheric pressure and the pressure due to the water above the bubble:

P1 = Patm + ρgh

where Patm is the atmospheric pressure and ρ is the density of water.

The pressure inside the bubble at the surface is equal to the atmospheric pressure:

P2 = Patm

Since the temperature of the air in the bubble remains constant, the pressure and volume of the air are related by the ideal gas law:

P1V1 = P2V2

Substituting the expressions for P1 and P2 and V1/V2 from the conservation of volume equation, we get:

(Patm + ρgh) x (4/3πr1^3) = Patm x (4/3πr2^3)

Simplifying and solving for h, we get:

h = (r2^3 - r1^3) / (ρg x 3/4π)

Substituting the given values, we get:

h = (10.5^3 - 8^3) / (1000 kg/m³ x 9.8 m/s² x 3/4π)

h = 12.23 m

Therefore, the depth of the diver is approximately 12.23 m.

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Related Questions

If mass increases - Force of gravity increases

A. True

B.False

Answers


The answer is True.

Please help quick

LaToya uses 50 newtons (N) of force to pull a 500 N cart. Which statements are correct about calculating LaToya's mechanical advantage? Select all that apply

A The input force is 50 N

B

The output force is 50N

с

The input force is 500 N

D

The output force is 450 N

E

The mechanical advantage is 10

F

The mechanical advantage is 100

Answers

F=ma

Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration. We use Newtons, kilograms, and meters per second squared as our default units, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour per second, millimeters per second2, etc.) could certainly be used as well - the calculation is the same regardless.

The statements which are correct about calculating LaToya's mechanical advantage are—The input force is 50 N, the output force is 450 N and the mechanical advantage is 10.Therefore, the correct option is A, D and E.

What is mechanical advantage?

Mechanical advantage is the ratio of output force to input force. In this case, LaToya is using a force of 50 N to pull a cart that weighs 500 N. The output force is the weight of the cart minus the force LaToya exerts on it:

Output force = 500 N- 50 N = 450 N

To see why statement F is incorrect, note that the formula for mechanical advantage is:

Mechanical advantage = output force / input force

Substituting the values we found earlier, we get:

Mechanical advantage = 450 N / 50 N = 9

So the mechanical advantage is actually 9, not 100.

Therefore, the correct option is A, D and E.

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nich
Imagine that two birds leave the
same tree at the same time. They
both fly at 10 km/h for 5 minutes.
Why don't they end up at the
same place?

Answers

Answer:

hello

Explanation:

The center-seeking change in velocity of an object moving in a circle is:

Answers

The center-seeking change in velocity of an object moving in a circle is the centripetal acceleration.

So, by Newton's laws, we know that an object moving with a given velocity will remain in constant motion with a constant velocity until we apply an acceleration.

So we define acceleration as the rate of change of the velocity, also remember that velocity is a vector (has magnitude and direction), so, if there is a change the direction of the velocity, we have an acceleration that causes that.

In circular motion, the velocity vector is always perpendicular to the radius of the circle, and it can only be possible if the velocity direction is changing constantly. This will happen because of something called centripetal acceleration.

This acceleration points radially inwards (to the center of the circle) so is also perpendicular to the velocity of the moving object, and this is what causes the constant change in the direction of the velocity of the moving object.

Just to give an example, if you have a string with a mass on one end, and with your hand, you rotate the mass (from the string), the tension of the string would be the centripetal acceleration.

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Answer:

centripetal acceleration.

A car drives up a straight hill at a constant speed of 50 kilometers per hour. A truck drives over the crest of the hill at a constant speed of 50 miles per hour. What is the net force on the car and on the truck

Answers

As a result, the net pressures on the automobile and truck are zero.

what is pressure ?

If you tried to smash a bowling pin into the wall, nothing would happen except that people would stop lending you bowling pins. If you used the same force to hammer a nail, the nail would be far more likely to pierce the wall. This demonstrates that knowing the quantity of the force isn't always enough: you also need to know how that force is distributed over the impact surface. The nail condensed all of the power between the wall and the nail into a relatively tiny region on the pointed tip of the nail. However, because the area of the bowling pin that touched the wall was significantly bigger, the force was much less focused.

Newton's Second Law states that the net Force acting on an object is given by

MA Fnet = MA

The acceleration is given by the ratio of the change in velocity of an object and the time it takes to change velocity.

(Vf - Vi)/T = a

If the vehicles are driving at constant speeds, their velocity change is zero (0).

If the velocity change is zero, the acceleration is also zero (0).

As a result, Fnet = M(0) = 0.

As a result, the net pressures on the automobile and truck are zero.

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Review. Two parallel plates having charges of equal magnitude but opposite sign are separated by 12.0cm. Each plate has a surface charge density of 36.0 nC/m². A proton is released from rest at the positive plate. Determine (g) From the force, find the magnitude of the electric field.

Answers

The magnitude of the electric field between the parallel plates is approximately 4.07 N/C. The formula which can be used to calculate the size of the electric field between two parallel plates is:

Electric field (E) = Surface charge density (σ) / (ε₀)

The magnitude of the electric field between two parallel plates can be determined using the formula:

Electric field (E) = Surface charge density (σ) / (ε₀)
Where:
- Surface charge density (σ) is given as 36.0 nC/m²
- ε₀ is the permittivity of free space and has a value of 8.85 x 10⁻¹² C²/Nm²
To find the magnitude of the electric field, we need to substitute the given values into the formula:
E = 36.0 nC/m² / (8.85 x 10⁻¹² C²/Nm²)
Now let's calculate the value of E:
E = (36.0 x 10⁻⁹ C/m²) / (8.85 x 10⁻¹² C²/Nm²)
To simplify this calculation, we can divide the numerator and denominator by 10⁻¹²:
E = (36.0 / 8.85) N/C
Calculating this division:
E ≈ 4.07 N/C
Therefore, the magnitude of the electric field between the parallel plates is approximately 4.07 N/C.

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A 2.75 kg block is pulled across a flat, frictionless floor with a 5.11 N force directed 53.8° above horizontal. What is the total force acting on the block? (total force = N)

Answers

Answer:

F = 3.01 N

Explanation:

Given that,

Mass of a block, m = 2.75 kg

Force applied to the block, F = 5.11 N

It is directed 53.8° above horizontal.

We need to find the total force acting on the block. The force acting on it is given by :

\(F=F\cos\theta\\\\F=5.11\times \cos53.8\\F=3.01\ N\)

So, 3.01 N of force is acting on the block.

3.01 works as the right answer

A baseball is thrown at a 22.5° angle and an initial velocity of 65 m/s. What will be its horizontal
and vertical velocity?

Guys pls someone answer my question I have an exam and this question has 5 marks

Answers

Answer:

Horizontal component = 60.05 m/s

vertical component = 22.96 m/s

Explanation:

cosine(angle) = adjacent / hypotenuse or  horizontal / angled velocity

angled velocity * cosine (angle) = horizontal velocity

65 m/s * cosine(22.5) = 60.05 m/s

sine(angle) = adjacent/ hypotenuse or vertical/ angled velocity

angled velocity * sine (angle) = vertical velocity

65m/s sine(22.5) = 22.96 m/s

The quantity that is the same at all points in a series circuit is: current voltage power resistance

Answers

Answer:

On this page, we'll outline the three principles you should understand regarding series circuits: Current: The amount of current is the same through any component in a series circuit. Resistance: The total resistance of any series circuit is equal to the sum of the individual resistances

The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).

The current in a series circuit is constant all the way around. This means that the same amount of current flows through each component, such as resistors, lamps, or other devices, connected in series.

The current is measured in units of amperes (A) and is determined by the voltage applied to the circuit and the total resistance in the circuit according to Ohm's law (I = V/R).

Therefore, The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).

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One strategy that has been implemented to address the drug epidemic in Philadelphia was the creation of something called

Answers

The One strategy implemented to address the drug epidemic in Philadelphia is the creation of Comprehensive User Engagement Sites (CUES). These sites aim to tackle the widespread issue of drug addiction and related energy health concerns.

The CUES are safe spaces where individuals battling addiction can energy access various harm reduction services, such as clean syringes, medical support, and overdose prevention. These sites provide connections to addiction treatment programs and mental health services, helping people on their path to recovery. By offering safe and supervised spaces, CUES work to reduce public drug use, discarded syringes, and other related issues in the community. CUES also serve as educational hubs, raising awareness and providing information about the dangers of drug addiction and available resources for support. Lastly, these sites foster community engagement and collaboration, uniting various stakeholders in the fight against the drug epidemic. In summary, Comprehensive User Engagement Sites play a significant role in addressing the drug epidemic in Philadelphia. They provide harm reduction services, treatment programs, and community support, all while promoting a safer and healthier environment for the city's residents.

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a force of 10 n holds an ideal spring with a 20-n/m spring constant in compression. the potential energy stored in the spring is:

Answers

The potential energy stored in the spring of force constant 20 N/m is 2.5 J.

What is potential energy?

This is the energy of a body a virtue of its position.

To calculate the potential energy stored in the spring, we use the formula below.

Fromula:

P.E = F²/2K............. Equation 1

Where:

P.E = Potential energy of the springK = Spring constantF = Force on the spring

From the question,

Given:

F = 10 NK = 20 N/m

Substitute these values into equation 1

P.E = 10²/(2×20)P.E = 2.5 J

Hence, the potential energy stored in the spring is 2.5 J.

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Imagine you inherit a farm and now have to purchase fertilizer for the farm. The farm is 340 acres and had corn planted the previous year. You must add fertilizer to the soil before you plant this year's crop. You go to the local fertilizer store and find SuperPhosphate-brand fertilizer. You read the fertilizer bag and can recognize from your high school chemistry class a molecular formula C*a_{3}*P_{2}*H_{14}*S_{2}*O_{21} (you don't understand anything else written on the bag because it is imported fertilizer from Japan). You must decide how much fertilizer to buy for application to your cornfields. If each bag contains 25 kg of fertilizer and costs $54.73, how many bags of fertilizer must you purchase, and how much will it cost you to add the necessary fertilizer to your fields ?

Answers

Total Cost is =  $107,380 if The farm is 340 acres and had corn planted  add fertilizer to the soil before you plant this years' crop.

What is called fertilizer?

A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".

Why is fertilizer important?

Without fertilizers, nature struggles to replenish the nutrients in the soil. When crops are harvested, important nutrients are removed from the soil, because they follow the crop and end up at the dinner table. If the soil is not replenished with nutrients through fertilizing, crop yields will deteriorate over time.

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1. A rug sits in a sunny place on the floor for a long time. Kiara thinks that light from the sun can
cause the rug's color to fade over time. Can light from the sun cause the rug's color to fade?
a
No. Light is not a physical thing, so it cannot change physical things like rugs.
b
No. Light can only change things by warming them up, so it cannot cause the rug's color to
fade.
Yes. The rug can take in energy from the light, causing the rug's color to fade.
d
Yes. Light from the sun can pull energy out of the rug, causing the rug's color to fade.

Answers

Answer:

yes

Explanation:

the rug can take energy from the light causing the rug's color to fade

Yes, Kiara is right because the rug can take in energy from the Sun's light, thereby causing the rug's color to fade: C. Yes. The rug can take in energy from the light, causing the rug's color to fade.

The Sun is typically characterized by nuclear reactions that usually takes place or occur at its center, which eventually result in the release of radiant (heat) energy and electromagnetic radiation into planet Earth.

Although, these radiant (heat) energy and electromagnetic radiation from the Sun are essential and very important to life on planet Earth.

However, a disadvantage of radiant (heat) energy is that when taken in by conducting materials such as rugs, it causes their color to fade (change) over time.

In conclusion, Kiara is absolutely right in her thinking because light energy (sunlight) from the Sun can cause the rug's color to become faded over time.

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HELP ME NO BOTS PLEASE!!!!!!!

HELP ME NO BOTS PLEASE!!!!!!!

Answers

Answer: A red light is reflected

Explanation:

Answer explanation pls

Answer explanation pls

Answers

The Distance Travels after 5s is 50 m.

What are the  equations of motion?

First equation of motion: v = u + at.

Second equation of motion: s = ut + 12 at2

Third equation of motion: v2 = u2 + 2as.

A physical system's behavior in terms of how its mobility varies over time is described by equations of motion.

The equations of motion, which are a group of mathematical functions stated in terms of dynamic variables, provide a more thorough description of how a physical system behaves. Space, time, and occasionally components of momentum make up these factors in most cases. The most flexible choice is generalized coordinates, which can represent any meaningful variable present in the physical system. In relativity, curved spaces are employed in place of the Euclidean spaces where the functions are specified in classical mechanics. If the dynamics of a system are known, the equations are the solutions to the differential equations that describe the motion of the dynamics.

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Neptune has a mass that is about 17 times the mass of earth. the distance between the sun and neptune is about 30.1 times the distance between the sun and earth. if the gravitational force between the sun and earth is 3.5 x 1028 n, which is closest to the force between neptune and the sun? 6 x n 6 x n 6 x n 6 x n

Answers

Answer: 6 x 10^26 N

Explanation:

the upward force exerted by a gas or liquid is called
a. pressure
b. upthrust
c. torque
d. all the above

Answers

b. upthrust. The upward force exerted by a gas or liquid is called upthrust.

This force is generated due to the content loaded and the pressure exerted by the gas or liquid. A fluid's buoyancy, also known as upthrust, opposes the weight of an item that is partially or completely submerged by exerting an upward push. The weight of the fluid on top causes pressure in a fluid column to rise with depth. As a result, the pressure at the bottom of a fluid column is higher than at the top. Similar to this, an object submerged in a fluid experiences greater pressure at its bottom than it does at its top. A net upward force is exerted on the item as a result of the pressure differential.

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The slope of this graph is _____.

The slope of this graph is _____.

Answers

The slope of the illustrated graph would give us the velocity of the object whose motion is plotted in the graph.

What is velocity?

Velocity refers to the rate of movement of objects along a particular line. In other words, the velocity of an object is the speed of the object in a specific direction relative to time.

Also, velocity = displacement/time.

In the graph, the slope is given by: Δy/Δx = displacement/time = velocity.

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how fast (in rpm ) must a centrifuge rotate if a particle 4.6 cm from the axis of rotation is to experience an acceleration of 500000 g 's?

Answers

To find the required rotation speed (in rpm) of the centrifuge, follow these steps:

1. Convert the given acceleration from g's to m/s²:
  1 g = 9.81 m/s²
  500,000 g = 500,000 * 9.81 m/s² = 4,905,000 m/s²

2. Convert the given distance from cm to meters:
  4.6 cm = 0.046 m

3. Use the centripetal acceleration formula:
  a = rω²
  where a is the acceleration, r is the distance from the axis of rotation, and ω is the angular velocity in rad/s.

4. Solve for the angular velocity ω:
 ω = √(a / r) = √(4,905,000 / 0.046) = √(106630434.78) = 10325.92 rad/s

5. Convert the angular velocity from rad/s to rpm:
  1 rad/s = 9.5493 rpm
  10325.92 rad/s = 10325.92 * 9.5493 = 98,520.76 rpm

The centrifuge must rotate at approximately 98,520.76 rpm for a particle 4.6 cm from the axis of rotation to experience an acceleration of 500,000 g's.

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Why is voltage the same in a parallel circuit?

Answers

Answer:

the voltage is the same in all parallel components because by definition you have connected them together with wires that are assumed to have negligible resistance. the voltage at each end of the wire is the same ( ideally ) . so all the components have to have the same voltage.

Can someone please give me the (Answers) to this? ... please ...

Can someone please give me the (Answers) to this? ... please ...

Answers

Explanation:

1. By Newton's 3rd Law, both forces are equal and opposite. Hence both forces are of the same magnitude.

2. The reaction force is the force of arrow on bowstring.

3. Forward force of fish on water and vice versa?

4. The mass of the person is very small as compared to mass of earth. Hence the force exerted is very small amd hence the recoil is not noticed.

5. Reaction force is the force of ball against the bat. By Newton's Third Law, they form an action reaction pair. Hence, they are equal in magnitude and opposite in direction.

6. The reaction force will also decreases as both forces are equal in magnitude.

7 im nt sure sorry Ahahah

Squids rely on jet propulsion to move around in water. A 1.5 kg squid at rest suddenly expels 0.12 kg of water backward to quickly get itself moving forward at 2.8 m/s. If other forces (such as the drag force on the squid) are ignored, what is the speed with which the squid expels water

Answers

Answer:

The speed of water is 32.2 m/s .

Explanation:

Mass of squid, M = 1.5 kg

mass of water, m = 0.12 kg

velocity of squid, V = - 2.8 m/s

Let the speed of water is v.

Use the conservation of momentum,

Momentum before expelling the water  momentum after expelling water

M x 0 = (M - m) x V + m x v

0 = - (1.5 - 0.12) x 2.8 + 0.12 v

3.864 = 0.12 v

v = 32.2 m/s

a long wire is connected to a battery of 1.5 v and a current flows through it. by what factor does the drift velocity change if the wire is connected to a dc electric source of 7.0 v ?
v4.0/v1.5 = _________

Answers

The drift velocity of the electrons in the wire is directly proportional to the applied electric field.
The drift velocity will increase by a factor of 4.67 when the wire is connected to a DC electric source of 7.0 V.

To determine the factor by which the drift velocity changes, we need to consider the relationship between drift velocity (v), current (I), and voltage (V). This relationship is given by Ohm's law:

V = IR

Where R is the resistance of the wire, which remains constant in this situation. The drift velocity is proportional to the current, so we can express the change in drift velocity as a ratio of currents:

(I2/I1) = (V2/R)/(V1/R)

Since R is constant, it cancels out:

I2/I1 = V2/V1

Now, you can plug in the given voltage values:

I2/I1 = 7.0 V / 1.5 V = 4.67

So, the drift velocity changes by a factor of 4.67 when the wire is connected to a 7.0 V DC electric source compared to a 1.5 V battery.

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Determine the value of the potential 2.5mm from a negative plate of a pair of parallel plates separated by 8.5mm and connected to 24v battery

Answers

To determine the value of the potential 2.5 mm from a negative plate of a pair of parallel plates separated by 8.5 mm and connected to a 24 V battery, we can use the equation for the electric field between the plates:

E = V/d, where E is the electric field, V is the voltage, and d is the distance between the plates. First, let's calculate the electric field between the plates: E = V/d = 24 V / 8.5 mm. To convert the distance to meters, we divide by 1000: E = 24 V / (8.5 mm / 1000) = 24 V / 0.0085 m = 2823.53 V/m. Now, we can determine the potential at a distance of 2.5 mm from the negative plate using the equation: V2 = E * d2, where V2 is the potential and d2 is the distance from the negative plate. Plugging in the values: V2 = 2823.53 V/m * (2.5 mm / 1000) = 2823.53 V/m * 0.0025 m = 7.0588 V. Therefore, the potential 2.5 mm from the negative plate is approximately 7.0588 V.

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plss help plss i need it now​

plss help plss i need it now

Answers

Answer:

anong grade po. yan? seven po ba yan

HELLO QUESTION 9 PLEASE HELP

HELLO QUESTION 9 PLEASE HELP

Answers

Answer:

Explanation:

it's B)  or the question right above the one you've marked.   The planets do form a plane almost exactly :0   but not a sphere.  

A good example of kinetic energy would be_____.

A. a car driving on a road
B. a stretched rubber band
C. a rollercoaster at the top of a hill
D. an Apple high in a tree

PLEASE HELP ME WITH THIS QUICK IT IS TIMED AND IM ONLY ON NUMBER 5 AND THERE IS 17 QUESTIONS

Answers

Answer:

B.) a stretched rubber band

Explanation:

-

What is the fastest speed at which a tennis ball can cross the net horizontally and still land in the court? From the net to the end line is 12 m, and the height of the net is 1 m. Neglect air resistance and spin on the ball.

A. 0.04 m/s
B. 27 m/s
C. 53 m/s
D. 45 m/s

self note *6

Answers

Answer:

B. 27 m/s

Explanation:

The horizontal velocity of the ball is 27 m/s

The given parameters;

horizontal distance, x = 12 mheight of the net, h = 1 m

The time of motion is calculated as;

h = ut + ¹/₂gt²

1 = 0 + (0.5 x 9.8)t²

1 = 4.9t²

\(t^2 = \frac{1}{4.9} \\\\t^2 = 0.205\\\\t = \sqrt{0.205} \\\\t = 0.45 \ s\)

The horizontal velocity of the ball is calculated as;

X = uₓt

\(u_x = \frac{X}{t} = \frac{12}{0.45} = 26.7 \ m/s \ \approx 27 \ m/s\)

Thus, the horizontal velocity of the ball is 27 m/s

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certain types of sunglasses are very effective at dimesining light reflecting from surfaces because ofa. interferenceb. specluar reflectionc. diffusiond. polorization

Answers

Certain types of sunglasses are very effective at dimesining light reflecting from surfaces because of d. polorization.

Certain types of sunglasses are designed to reduce glare and reflections from surfaces such as water, snow, or pavement.

This is achieved by selectively blocking or filtering out certain polarized components of light waves.

The most effective sunglasses for reducing glare are polarized sunglasses, which work by blocking polarized light waves that are reflected off flat, shiny surfaces.

The reflected light waves tend to oscillate in a single plane, and the polarized lenses are designed to block out those waves while allowing the remaining waves to pass through.

This helps to reduce the intensity of glare and reflections, resulting in a clearer and more comfortable view.

In summary, the answer to the question is d. polarization.

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What is the difference between thrust and applied force?

Answers

Answer:

Thrust acts on the accelerated object in the direction opposite to the applied force hence it accelerates the object in the direction opposite to the applied force. ... Its magnitude is equal to that of applied force. It always increases the velocity of the object.

Explanation:

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