A tall cylinder contains 30 cm of water. Oil is carefully poured into the cylinder, where it floats on top of the water, until the total liquid depth is 40 cm. Part A What is the gauge pressure at the bottom of the cylinder

Answer:

Speed, Vfx = 7.619 m/s

Explanation:

Vertical distance, Dx = 5.4m

Horizontal distance, Dy = 8m

Acceleration due to gravity, g = 9.8m/s²

Initial speed, Vix = 0m/s²

To find the speed, we would use the second equation of motion to find the time, t;

Dx = Vixt + ½gt²

Substituting into the equation, we have;

5.4 = 0(t) + ½(9.8)*t²

5.4 =  0 + 4.9t²

Rearranging the equation, we have;

4.9t² = 5.4

t² = 5.4/4.9

t² = 1.1020

Taking the square root of both sides;

t = 1.050 secs.

For the speed;

Dy = Vfxt

Vfx = Dy/t

Vfx = 8/1.050

Vfx = 7.619 m/s

Therefore, the speed of the pelican is 7.619 m/s

Answer:

The number of electrons entering the thin wire every second is 1.75 x 10⁻³ mobile electrons / second

Explanation:

Given;

emf of the battery, V = 1.5 V

electron density, = 9 × 10²⁸ mobile electrons per m³

mobility of electron, u = 7 × 10⁻⁵ (m/s)/(N/C)

length of thin wire, L = 6 cm = 0.06 m

cross sectional area of the thin wire, A = 1.3 x 10⁻⁸ m²

The magnitude of the electric field in the thin wire is given by;

E = V/L

E = (1.5) / (0.06)

E = 25 N/C

the number of electrons entering the thin wire every second is given by;

\(e/s = mobility \ x \ Electric \ field\\\\number \ of \ electrons \ per \ second =\frac{7*10^{-5} (m/s)}{N/C} *25 (N/C)\\\\number \ of \ electrons \ per \ second = 1.75*10^{-3} \ m/s\)

Therefore, the number of electrons entering the thin wire every second is 1.75 x 10⁻³ mobile electrons / second

The number of electrons entering the thin wire every second is 1.75 x 10⁻³ mobile electrons / second

Since

emf of the battery, V = 1.5 V

electron density, = 9 × 10²⁸ mobile electrons per m³

mobility of electron, u = 7 × 10⁻⁵ (m/s)/(N/C)

length of thin wire, L = 6 cm = 0.06 m

cross sectional area of the thin wire, A = 1.3 x 10⁻⁸ m²

So here the magnitude should be

E = V/L

E = (1.5) / (0.06)

E = 25 N/C

Now the number of electrons should be

= 7 × 10⁻⁵  *25

= 1.75 x 10⁻³ mobile

hence, The number of electrons entering the thin wire every second is 1.75 x 10⁻³ mobile electrons / second

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Answer:

Thermal energy is transferred from the cup to the cold water until they are at the same temperature.

Explanation:

The three types of thermal energy transfer is radiation, conduction and convection.

During energy transfer, thermal energy is being transferred from the warmer  body (of higher temperature with faster-moving particles) to the colder body (of lower temperature with slower-moving particles) until both of the bodies are in thermal equilibrium (the same temperature). Since the cup is warmer than the cold water, Thermal energy is transferred from the cup to the cold water until they are at the same temperature.

The total distance covered by the subway train is 1796.5 m. The result is obtained by using the equations in uniformly accelerated straight motion.

A uniformly accelerated straight motion is a motion with acceleration or deceleration in a straight line. The equations apply in horizontal dimension are

v₁ = v₀ + at

v₁² = v₀² + 2ax

x = v₀t + ½ at²

Where

A subway train starts from rest at a station.

Find the total distance covered!

When it accelerates, the distance is

x₁ = v₀t + ½ a₁t₁²

x₁ = 0 + ½ (1.60)(14.0)²

x₁ = 0 + 0.8(196)

x₁ = 156.8 m

The final speed after 14 s is

v₁ = v₀ + at

v₁ = 0 + (1.6)(14.0)

v₁ = 22.4 m/s

The speed later will be constant for t₂ = 70.0 s.

When it moves with a constant speed (22.4 m/s), the distance is

x₂ = v₁t₂

x₂ = 22.4(70)

x₂ = 1568 m

When it slows down until it stops (v₂ = 0), the distance is

v₂² = v₁² - 2a₂x₃

0 = 22.4² - 2(3.5)x₃

22.4² = 2(3.5)x₃

501.76 = 7x₃

x₃ = 71.68 m

The total distance covered will be

x = x₁ + x₂ + x₃

x = 156.8 m + 1568 m + 71.68 m

x = 1796.48

x = 1796.5 m

Hence, the subway train traveled for a total distance of 1796.5 m.

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The value of the unknown resistance is approximately 44750 Ω.

In a balanced Wheatstone bridge, the ratio of the resistances in the two arms of the bridge is equal to the ratio of the resistances in the other two arms. That is:

R1/R2 = R3/R4

where R1, R2, R3, and R4 are the resistances in the four arms of the bridge.

In this problem, the resistances in three of the arms of the bridge are all exactly 500 Ω. Let the resistance in the fourth arm (the unknown resistance) be denoted by R. The voltage across the galvanometer is zero in a balanced Wheatstone bridge, so the current through the galvanometer is also zero.

Using Ohm's law, the current through the entire circuit is given by:

I = V/(R1 + R2 + R3 + R4)

where V is the voltage of the battery, and R1, R2, R3, and R4 are the resistances in the four arms of the bridge.

The voltage drop across the 500 Ω resistances is given by:

V_500 = (500/(500+500+R)) * V

The voltage drop across the unknown resistance R is also given by:

V_R = (R/(500+500+R)) * V

Since the voltage across the galvanometer is zero, the current through the unknown resistance R is equal to the current through the 80 Ω galvanometer. Using Ohm's law, we can write:

I_R = V_R/R = I_galvanometer = 0.08 μA

Substituting the expressions for the voltages and the current into the equation for the total current, we get:

V/(500+500+500+R) = 0.08 μA

Solving for R, we get:

R = (V/0.08 μA) - 1500 Ω

Substituting the given values, we get:

R = (3.7 V)/(0.08 μA) - 1500 Ω

R = 46250 Ω - 1500 Ω

R = 44750 Ω

Therefore, the value of the unknown resistance is approximately 44750 Ω.

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Answer:408849499400504053-2

Explanation:kfnkdtozskf

Answer:

To calculate the work done by a force, we can use the formula:

Work = ∫F dx

In this case, the force is given by Fx = (2x + 7) N, and the particle moves along the X-axis from X1 = 1 m to X2 = 5 m. Let's calculate the work done.

Work = ∫(2x + 7) dx

Integrating the function (2x + 7) with respect to x, we get:

Work = (x^2 + 7x) evaluated from X1 to X2

Plugging in the values X2 = 5 and X1 = 1 into the expression, we have:

Work = (5^2 + 7 * 5) - (1^2 + 7 * 1)

= (25 + 35) - (1 + 7)

= 60 - 8

= 52

Therefore, the work done by the force is 52 Joules (J).

Explanation:

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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Answer:

Because chemical energy is being converted into thermal energy.

Explanation:

1.) The relative humidity is 100 percent. 2.)To saturate the air at 20°C, 0.018g of water should evaporate.

(i) To calculate the relative humidity at room temperature, compare the amount of water vapour in the air to the maximum amount of water vapour that the air can hold at that temperature.

The saturated vapour pressure at that temperature determines the maximum amount. The relative humidity is stated as a percentage and can be calculated using the formula:

(Actual vapour pressure / Saturated vapour pressure) times 100% = Relative humidity

The saturation vapour pressure at room temperature (20°C) is 17.54mmHg. The relative humidity is 100% if the actual vapour pressure in the air equals the saturation vapour pressure.This signifies that the air has held the most water vapour it can at that temperature.

(ii) Using the ideal gas law, we can calculate the amount of water that should evaporate to saturate the air at 20°C. PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin, according to the ideal gas equation.

This equation can be rearranged to calculate the amount of moles of water:

n = (PV) / (RT)

We know that the required pressure is 17.54mmHg, which is equal to 2.338 kPa. We also know that the temperature is 20° C, which is 293.15 K.The volume is not specified, but we can assume it is constant and hence ignore it. The gas constant is 8.31 joules per mol-K.

n = ((2.338 kPa) / (8.31 J/mol-K * 293.15K))

To calculate the mass of water, multiply the number of moles by the molar mass of water, which is about 18.015 g/mol.

0.01796 g = 0.000997 mol * 18.015 g/mol mass of water

To saturate the air at 20°C, around 0.018g of water should evaporate.

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Answer:

15 seconds

Explanation:

We can use this formula to solve this problem:

Velocity = Initial Velocity + Acceleration * Time

We know that initial velocity is 0, the velocity is 147, and acceleration is 9.8(because of earth's gravitational pull), so we can plug those numbers in and solve for time:

147 = 0 + 9.8*t

t = 15

Therefore, it will take 15 seconds for an object that falls from rest to reach 147 m/s.

Answer:

The wire must be part of a closed circuit.

Explanation:

A closed circuit in electric is what we called a wire that has a complete electrical connection in which electricity flows, where electric current flow from one end to another, in order for magnetism to induce an electric current the circuit has to be closed, or no current will flow.

Answer:Since pressure = force/area, the same force on a smaller area means more pressure. When you are walking on sand, the force being applied by your body is spread out over the entire surface of your foot. ... So, more pressure applied on a given area of your foot causes more pain.

Explanation:

Good Question

We know that all fundamental forces have a fundamental charge and that each of them is responsible for some fundamental phenomenon. In the case of the gravitational force, we know that it is responsible of all gravitational interactions and that its magnitude is proportional to the mass.

Therefore, gravitational force increases with the mass of an object and the answer is B.

Answer: 1.67 x 10^-7N

Explanation:

The complete equation representing the process of nuclear fission is:

²³⁹₉₄Pu + ¹₀n -> ¹⁴⁶₅₆Ba + ⁹¹₃₈Sr + 3¹₀

To obtain the complete equation, we shall obtain the missing part of the equation. This is shown below:

For A

239 + 1 = A + 91 + 3

240 = A + 94

Collect like terms

A = 240 - 94

Value of A = 146

For B

94 + 0 = B + 38 + 0

94 = B + 38

Collect like terms

B = 94 - 38

Value of B = 56

Therefore, the complete equation is:

²³⁹₉₄Pu + ¹₀n -> ¹⁴⁶₅₆Ba + ⁹¹₃₈Sr + 3¹₀

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Answer:

B and D

Explanation:

Answer:

It is B. inherits all the traits from its parent

And D. is identical to the parent's structure

Explanation:

Hope this helped have an amazing day!

The value of c + a+b will be c = -8 for the given polar coordinates.

The polar coordinate system is a two-dimensional coordinate system in mathematics in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The pole is the reference point, and the polar axis is the ray from the pole in the reference direction.

Given that the coordinates are a = 15 [326° from +x], b= 21 [192º from + x].

The value of a + b will be calculated as;-

c = a + b

c = ( 15 x cos(326) + 21 x cos(192)

c = 12.43  - 20.54

c = -8.11

Therefore, the solution for the coordinates is -8.11.

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Answer:

As thermal energy increases,there is more particle movement

Answer:

C. Fill two identical pots with equal volumes of salt water and tap water and use a stopwatch to determine the time it takes each pot to boil.

Explanation:

A) is incorrect because Peter should have the same testing environment for both of his experiments.

He should choose the same method of boiling the salt water and tap water because the stovetop and the microwave could also affect the results and make them unreliable.

B) is incorrect because Peter should not estimate the time it takes the salt water and tap water to boil.

Peter should measure and record the amount of time that it takes these substances to boil in order to have an accurate, valid experimental thesis.

C) is correct because Peter uses the same volume of salt water and tap water, fills them into two identical pots, and uses a stopwatch to determine the amount of time it takes each pot to boil.

The stopwatch makes the experiment more valid and accurate compared to the previous methods, and the identical pots and amounts of water help this experiment become even more precise.

D) is incorrect because the variables in the experiment are not controlled amounts and will therefore produce an inaccurate and invalid experiment.

Tension in the left cable is 4395.9 N.

Tension is defined as a pulling force that acts along the length of a flexible medium like rope or cables.

Here,

The total mass of the riders is given, m = 330 kg

Let the tension in the left cable be T₁ and that in the right cable be T₂.

From the figure,

T₁ cos 15 = T₂ cos 26

T₁ = T₂ cos 26/cos 15

Also,

T₁ sin15 + T₂ sin 26 = mg

Substituting values,

(T₂ cos 26/cos 15) sin 15 + T₂ sin 26 = 330x 9.8

0.241 T₂ + 0.438 T₂ = 3234

0.679 T₂ = 3234

T₂ = 4762.8 N

Therefore, Tension in the left cable, T₁ = 0.930x 4762.8

         T₁ = 4395.9 N

Hence, The tension in the left cable is 4395.9 N

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Your question was incomplete. Attaching the image here.

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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Answer:

please I do not understand that question

The final temperature of the gas is 782 Kelvin, or 509 degrees Celsius.

According to the ideal gas law, the pressure, volume, and temperature of an ideal gas are related by the equation:

PV = nRT

where;

If the initial kinetic energy of the molecules in an ideal gas at 20 degrees Celsius doubles, this means that the average kinetic energy of the gas molecules has doubled.

According to the kinetic theory of gases, the average kinetic energy of a gas is proportional to its temperature. Therefore, if the initial kinetic energy doubles, the temperature must also double.

We can express this mathematically using the equation for the average kinetic energy of a gas molecule:

KE = (3/2) kT

where;

If the initial kinetic energy doubles, we can write:

2KE = (3/2) kT'

where;

Solving for T', we get:

T' = (4/3) (2KE/k)

Substituting the initial temperature of 20 degrees Celsius (293 K) for T and simplifying, we get:

T' = (4/3) (2)(3/2)(293 K) = 782 K

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The instantaneous velocity at 250,000 years is; 5 mm/year

The Finite Velocity for the entire million year timespan is; 2mm/year

The instantaneous velocity is simply defined as the rate of change of displacement with time which is the velocity at a specific period of time.

We are told that the velocity at 250,000 years is 5 mm/year.

Thus;

Instantaneous velocity = 5 mm/year

Finite velocity for the entire 1 million year timespan is;

v = 2000000/1000000

v = 2 mm/year

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Answer:

Light from the Sun reaches Earth very quickly. The (4) speed of light is 186,000 miles per second! We capture sunlight using (5) solar panels, which are devices that use the (6) photovoltaic effect to convert light to electricity. As atoms absorb energy, the electrons get “excited” and release energy as (7) photons. Whatever light that is not absorbed will (8) reflect off the surface of the object and bounce back toward the source.

a) The main advantages of an epicyclic gearbox are:

b) i) Using the formula for the gear ratio of an epicyclic gear train:

T4/T3 = (t2/t1) x (t5/t2) x (t4/t5)

T4/30 = (1/2) x (60/20) x (40/60)

T4 = 40 Nm

ii) From the law of gearing for an epicyclic gear train:

w21 = (t3/t2) x (t5/t4) x w31 - (t3/t2) x w2

Substituting the given values:

w21 = (30/20) x (60/40) x 200 - (30/20) x 100

w21 = 150 rad/s

iii) The fixing couple that must be applied to wheel 5 can be found from the power transmitted by the gear train:

P = w3 x T3 = w2 x T2 = w1 x T1

Substituting the given values:

9 kW = 200 rad/s x 30 Nm = w2 x T2 = w2 x 20 Nm

w2 = 450 rad/s

T2 = (9 kW) / (450 rad/s) = 20 Nm

The fixing couple that must be applied to wheel 5 is equal in magnitude and opposite in direction to T2, so it is -20 Nm.

iv) The tangential force at the pitch point between wheels 3 and 4 can be found from the formula:

Ft = (2 x Pd) / (m x z3)

where Pd is the diametral pitch, m is the module, and z3 is the number of teeth on wheel 3.

Substituting the given values:

Pd = 25.4 / 5 = 5.08 teeth/inch

z3 = t3 / m = 30 / 5 = 6 teeth

Ft = (2 x 5.08) / (5 x 6) = 0.846 N

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