What is the acceleration if the velocity is 38 km/hr and the time is 2.5 hrs? ​

The magnitude S of the star's displacement from the origin in its final position is approximately 1.9117 AU.

Astronomical Units (AU) are a unit of distance commonly used in astronomy to measure distances within our solar system. One AU is defined as the average distance between the Earth and the Sun, which is approximately 93 million miles or 149.6 million kilometers.

To find the magnitude S of the star's displacement from the origin in its final position, we can use the distance formula:

distance = square root of ((x2 - x1)² + (y2 - y1)²)

where (x1, y1) are the initial coordinates of the star and (x2, y2) are the final coordinates of the star.

In this case, the initial coordinates of the star are (0, 0) and the final coordinates of the star are (S, S). We don't know the value of S yet, but we can use the fact that the initial velocity of the center of mass of the system is zero to find it.

The center of mass of the system can be found using the formula:

(m₁x₁ + m₂x₂ + m₃x₃) / (m₁ + m₂ + m₃)=x cm

(m₁y₁ + m₂y₂ + m₃y₃) / (m₁ + m₂ + m₃)=ycm

where m₁, m₂, and m₃ are the masses of the star and the two planets, and (x₁, y₁), (x₂, y₂), and (x₃, y₃) are their initial coordinates.

Using the values from the table, we can calculate the center of mass of the system:

x_cm = (2.0197×10³⁰ * 0 + 2.5623×10²⁸ * 0.1119 + 6.2841×10²⁶ * 0.3751 + 8.6951×10²⁷ * 0) / (2.0197×10³⁰ + 2.5623×10²⁸ + 6.2841×10²⁶ + 8.6951×10²⁷) ≈ 0.0038 AU

y_cm = (2.0197×10³⁰ * 0 + 2.5623×10²⁸  * 0 + 6.2841×10²⁶ * 1.2975 + 8.6951×10²⁷ * 1.4245) / (2.0197×10³⁰ + 2.5623×10²⁸ + 6.2841×10²⁶ + 8.6951×10²⁷) ≈ 1.3019 AU

Since the initial velocity of the center of mass is zero, the final velocity must also be zero. This means that the final position of the center of mass must be the same as the initial position.

Setting (x_cm, y_cm) in the final position to (0, 0), we can solve for S:

S = √(x₂² + y₂²) = √((0 - 1.9117)² + (0 - 0)²) ≈ 1.9117 AU

To know more about Astronomical Units, visit:

https://brainly.com/question/30393278

#SPJ1

If I use copper wire, magnets, and a battery, then I can make an electromagnet as a new element in 5 minutes.

What is the battery?

An apparatus that transforms chemical energy into electrical energy is a battery. It is typically composed of one or more electrochemical cells that use a chemical reaction to generate a flow of electrons, which produces an electric current.

Batteries are used in a wide variety of applications, from powering small electronic devices like flashlights and remote controls to providing backup power for homes and businesses. They come in many different shapes, sizes, and types, including disposable batteries that are used once and then discarded, and rechargeable batteries that can be reused multiple times by recharging their chemical components.

This sentence refers to the creation of an electromagnet using copper wire, magnets, and a battery. An electromagnet is a type of magnet that is created by running an electrical current through a coil of wire.

To create an electromagnet using copper wire, magnets, and a battery, you would need to take the following steps:

1. Wrap the copper wire around a piece of iron or steel, such as a nail, to create a coil. The more turns of wire you have in the coil, the stronger the electromagnet will be.

2. Connect the ends of the wire to the battery, making sure that the positive (+) and negative (-) terminals are connected to the correct ends of the wire. This will create a flow of electrical current through the wire.

3. Hold the magnet next to the iron or steel core. The magnetic field of the magnet will induce a magnetic field in the iron or steel core, which will in turn create a stronger magnetic field in the coil of wire.

4. You now have an electromagnet that will remain magnetized as long as the current is flowing through the wire.

Therefore, the process of creating an electromagnet using copper wire, magnets, and a battery is a simple and effective way to produce a magnet for a variety of applications. It can be used in many devices, including doorbells, motors, and speakers, among others.

To learn more about battery click here

https://brainly.com/question/10079117

#SPJ1

Answer:

Below

Explanation:

Blue ( 6)   OR  green ( 4)   is 10 out of  ( 6 + 5 + 5 + 4)

10 / 20 = 1/2 chance of blue OR green

The weight of the person is approximately 650.2 N.

Let W be the person's weight and T1 be the tension in the rope that creates a 38.4-degree angle with the vertical. Let T2 represent the rope's tension at a 42.7-degree angle to the horizontal.

The net force in the horizontal direction is given by:

T2 - T1*sin(38.4) = 0

Solving for T1, we get:

T1 = T2 / sin(38.4) = 194.2 N / sin(38.4) ≈ 311.1 N

The net force in the vertical direction is given by:

W - T1cos(38.4) - T2sin(42.7) = 0

Substituting the values we know, we get:

W - 311.1cos(38.4) - 194.2sin(42.7) = 0

Solving for W, we get:

W ≈ 650.2 N

Therefore, the weight of the person is approximately 650.2 N.

learn more about tension here

https://brainly.com/question/24994188

#SPJ1

Answer:

potential until moved than kinetic

Explanation:

Answer: If the force is applied at an angle to the displacement, the work is W = fd cosθ Given: The force acting, F = 5 Newtons, The displacement of the object, d = 2 meters. Calculate the work done by the formula given below, W = Here, W is the work done. Substitute the values, W = 5 * 2 W = 10 Joules

Explanation:

In fact ! the level of the sounds coming out of our throat is the same during day and night. But the sound is heard at a greater distance in the night than in the day. Because the intensity of noise is also less at night than during the day.which makes our voice heard over longer distances The air is relatively cooler at night due to which the humidity of the air increases. The speed of sound increases when the air is more humid Due to which we can hear loud and long distance.

The sounds being louder at night due to Refraction of sound waves.

The Sound waves travel differently at night than during the day. During the day the sound bends away from the ground in during the night it bends towards the ground.

Reflection

The first law of Reflection

The second law of Reflection

Interference of sound

Diffraction of sound

Answer: 2.72

Explanation: if this is not correct I don't know what to tell you other than don't use for answers and instead LEARN

A) The magnitude of the average induced electric field is  E = (ΔΦ/rΔt). B) The value in N/C is  105 N/C.

Magnitude is a measure of the size or strength of a physical quantity such as velocity, force, pressure, or energy. It is usually expressed in terms of a numerical value, either relative to a standard reference level or to some other physical quantity. Magnitude is used in various scientific fields, such as physics, engineering, and astronomy, to quantify properties of physical objects or phenomena. In physics, magnitude is used to compare the size or strength of different forces, such as gravity, electricity, and magnetism.

a) The magnitude of the average induced electric field, E, induced in the loop is given by the equation E = (ΔΦ/rΔt), where ΔΦ is the change in flux, r is the radius of the loop, and Δt is the time interval over which the field changes.

b) To calculate the value of E in N/C, we need to use the given values. Substituting B1 = 0.60 T, B2 = 9.5 T, r = 0.2 m, and Δt = 8 s, we get ΔΦ = 8π x (9.5 - 0.6) = 84.4 Wb. Substituting this in the equation, we get E = (84.4/0.2 x 8) = 105 N/C.

To learn more about magnitude

https://brainly.com/question/30337362

#SPJ1

1.85 m if On the right side of a seesaw, 2.35 meters from the fulcrum, a 66.4 kg individual is seated. How far away from the fulcrum on the opposite end should an 84.2 kg.

The correct statement is B.

For those who are unsure of what a fulcrum is, The answer to the question a fulcrum is the fixed point of a lever. A seesaw, for instance, is a lever with a fulcrum with in middle. The fulcrum of a seesaw is the stationary central component.

• The lever's pivot or turning point, or fulcrum. • The load, or the items you are attempting to transport. • The force, or the energy expended in moving the weight. With the help of a lever, you can move a heavy object with little effort. A lever is easier to move the farther away the effort (or force) comes from the fulcrum.

To know more about fulcrum visit:

https://brainly.com/question/3445140

#SPJ1

The 25N  is the minimum horizontal force required to move the block, 20N force is applied.

The amount of matter in a body is referred to as its mass. The kilograms is the kilograms, which is the SI unit of mass (kg). Mass is defined as: Mass = Density/Volume.

A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.

Therefore, 25N  is the minimum horizontal force required to move the block, 20N force is applied.

Learn more about mass from the given link.

https://brainly.com/question/86444

#SPJ1

Given the acceleration of A is 1.5 m/s² and that of B is 2.5 m/s² . Then for 5 seconds A will overtake B and from the 6th second B will overtake A. Then if B ceases to accelerate then from 6th second A will overtake B again.

Acceleration of an object is the rate of change in its velocity. Like velocity acceleration is a vector quantity characterized by a magnitude and direction.

Given acceleration of A =  1.5 m/s²

velocity = 7 m/s

acceleration of B = 2.5 m/s²

velocity = 3 m/s.

Then, for the fist second, A will accelerate to 8.5 m/s and B to 5.5 m/s. If this continues with their uniform acceleration, then, at the 5th second B will have a velocity of 15.5 m/s and A have 14.5 m/s. Thus, for 5 seconds A will overtake B, after that B will overtake.

Then, if B ceases to accelerate, then after 6 seconds, A will again overtake B.

Find more on acceleration:

https://brainly.com/question/30660316

#SPJ1

Flood plain is a strip of land which is next to a river that is sometimes covered in water. Mouth is the end or start of a river. Delta is the place where a river branches out into a triangular shape. Alluere is the fertile sediment.

A river is a natural flowing watercourse or waterbody, usually the freshwater stream, which is flowing on the surface or inside the caves towards another waterbody at a lower elevation, such as an ocean, a sea, bay, lake, wetland or another river.

Flood plain is a strip of land which is next to a river that is sometimes covered in water. Mouth is the end or start of a river. Delta is the place where a river branches out into a triangular shape. Alluere is the fertile sediment.

Learn more about River here:

https://brainly.com/question/11260945

#SPJ1

Answer:

B. transverse

Explanation:

The type of wave that has a perpendicular wave to the disturbance is transverse wave

The speed of the second object moving in a circle of radius 2d is four times the speed of the first object moving in a circle of radius d.

What is Circular Motion?

Circular motion is the movement of an object in a circular path around a fixed point or axis. In circular motion, the object moves at a constant speed but changes direction continuously, resulting in a circular path. The direction of the object's motion is always perpendicular to the radius of the circle, pointing towards the center of the circle.

To solve this problem, we can use the laws of circular motion and apply them to the two objects.

According to the laws of circular motion, the speed of an object moving in a circular path is determined by the radius of the circle and the time it takes for the object to complete one revolution (the period).

v = 2πr / T

where v is the speed of the object, r is the radius of the circle, and T is the period of revolution.

For the first object moving in a circle of radius d with speed v, we can use this formula to calculate its period of revolution:

T = 2πd / v

For the second object moving in a circle of radius 2d, we can use the same formula to calculate its speed:

v' = 2π(2d) / T'

where v' is the speed of the second object and T' is its period of revolution.

To find the relationship between the speed of the second object and the speed of the first object, we need to eliminate T' from the above equation. We can do this by substituting the expression for T in terms of v into the equation for v':

v' = 2π(2d) / (2πd / v)

Simplifying, we get:

v' = 4v

Therefore, the speed of the second object moving in a circle of radius 2d is four times the speed of the first object moving in a circle of radius d.

Learn more about Circular Motion from given link

https://brainly.com/question/106339

#SPJ1

Momentum After ∞ The velocity of the truck after the collision is 10m/s.

Velocity is a vector quantity that measures the rate of change of an object's position with respect to time. It is a physical quantity that describes both the speed and direction of an object's motion. Velocity is the rate of change of an object's position, and is equal to the total distance traveled divided by the total time it took to travel that distance. It is represented by the symbol v, and its SI unit is m/s. Velocity is an important concept in physics, as it is used to describe the motion of objects in the universe.

This is because the total momentum before the collision (5000kg*20m/s) is equal to the total momentum after the collision (5000kg*10m/s + 1200kg*0m/s). So, the velocity of the truck after the collision is equal to 10m/s.

To learn more about velocity

https://brainly.com/question/24445340

#SPJ1

Answer:

We can use the work-energy theorem to find the average power produced by the rocket:

Work done = Change in kinetic energy = (1/2)mv_f^2 - (1/2)mv_i^2

where m is the mass of the rocket, v_f is the final velocity, and v_i is the initial velocity.

From the given information, we have:

m = 2.77*10^6 kg

v_f = 56 m/s

v_i = 0 m/s

Using the kinematic equation for displacement:

y = v_i*t + (1/2)at^2

where y is the displacement (altitude), t is the time, and a is the acceleration.

We can rearrange this equation to solve for a:

a = 2y/t^2 = 2(510 m)/(20.0 s)^2 = 1.275 m/s^2

Then, we can use the kinematic equation for velocity:

v_f = v_i + at

v_f = 0 m/s + (1.275 m/s^2)(20.0 s) = 25.5 m/s

Now we can calculate the work done by the rocket:

Work done = (1/2)(2.7710^6 kg)(25.5 m/s)^2 - (1/2)(2.7710^6 kg)(0 m/s)^2 = 9.065*10^8 J

Finally, we can calculate the average power produced by the rocket:

Average power = Work done / Time taken = 9.06510^8 J / 20.0 s = 4.5310^7 W

Therefore, the average power produced by the rocket was approximately 4.53*10^7 W.

The answer is: 9.1∗10^8 W.

Explanation:

Answer:

One use of optical fibers in medicine is for endoscopy. Endoscopy is a medical procedure in which an instrument called an endoscope is used to visualize and examine the internal organs or structures of the body. Optical fibers are used in the endoscope to transmit light from a source to the end of the instrument, allowing doctors to see inside the body without making large incisions. The endoscope typically has a camera attached to its end, which captures images of the body's interior and sends them back through the optical fibers to a screen where they can be viewed by the doctor.

Here is a simple diagram of how optical fibers are used in endoscopy:

  +-----------------+

  |     Light       |

  |     Source      |

  +--------+--------+

           |

           |

           |

    +------+-------+

    | Endoscope    |

    |              |

    +--------------+

           |

           |

           |

    +------+-------+

    | Camera       |

    +--------------+

           |

           |

           |

    +------+-------+

    | Display      |

    +--------------+

Explanation:

In the diagram, the light source generates light, which is transmitted through the optical fibers in the endoscope. The light is then emitted at the end of the endoscope, illuminating the internal organ or structure being examined. The camera attached to the endoscope captures images of the illuminated area, and sends the images back through the optical fibers to a display screen where they can be viewed by the doctor.

The scientists in the 1997 film "Dante's Peak" know an eruption is coming because of "rats" are congregating as well as the "sulfur dioxide" measurements are rising.

Peak Dante | 1997 Wallace, located in Idaho's Western Rockies in the Bitteroot Alps, serves as the model for the fictional hamlet of "Dante's Peak". Digitally added elements include "Dante's Peak" and the surrounding alpine environment. The setting for Michael Cimino's novel Heaven's Gate was Wallace.

Dante's Peak may not have been warmly accepted at the time as it was treated seriously. It was a dreadful bomb that barely made $175 million just at movie office, like its rival Volcano.

To know more about Dante's Peak visit :

https://brainly.com/question/2218757

#SPJ1

Since the initial velocity of ball A was 3.3 m/s east and the velocity of ball A after the collision is 6.7 m/s east, the velocity of ball A after the collision is 3.7 m/s east.

Velocity is a vector quantity that measures the rate and direction of an object's motion. It can be determined by measuring the displacement of the object over a certain period of time. Velocity is usually expressed in terms of distance per unit of time, such as meters per second (m/s). In physics, velocity is a fundamental concept that is used to describe the motion of objects.

The velocity of ball A after the collision can be calculated using the conservation of momentum equation. The equation is as follows:

m1v1 + m2v2 = m1v1' + m2v2'

where m1 is the mass of ball A, v1 is the initial velocity of ball A, m2 is the mass of ball B, v2 is the initial velocity of ball B, m1' is the mass of ball A after the collision, v1' is the velocity of ball A after the collision, m2' is the mass of ball B after the collision, and v2' is the velocity of ball B after the collision.

In this problem, the equation is:

(0.62 kg)(3.3 m/s east) + (0.62 kg)(1.6 m/s west) = (0.62 kg)(v1') + (0.62 kg)(1.2 m/s east)

We can solve this equation for v1':

(0.62 kg)(3.3 m/s east) + (0.62 kg)(1.6 m/s west) = (0.62 kg)(v1') + (0.62 kg)(1.2 m/s east)

0.62(3.3 + 1.6) = 0.62v1' + 0.74

4.9 = 0.62v1' + 0.74

4.9 - 0.74 = 0.62v1'

4.16 = 0.62v1'

v1' = 6.7 m/s east

Since the initial velocity of ball A was 3.3 m/s east and the velocity of ball A after the collision is 6.7 m/s east, the velocity of ball A after the collision is 3.7 m/s east.

To learn more about velocity

https://brainly.com/question/24445340

#SPJ1

The normal force on the truck due to the highway surface is 18109.26 N.

Centripetal force is the force that is directed towards the center of a circular path that keeps an object moving along that path. It is given by the equation:

Fc = mv²/r

where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.

First, we need to convert the speed from miles per hour to meters per second:

75.0 mi/h = 33.5 m/s

Next, we can use the centripetal force equation:

F_c = (m*v²)/r

where F_c is the centripetal force, m is the mass of the vehicle, v is the velocity of the vehicle, and r is the radius of the curve.

We can find the angle of the banked curve in radians:

θ = tan⁻¹(v²/(r*g))

where g is the acceleration due to gravity, which is approximately 9.8 m/s².

A. For the car:

m = 1325 kg v = 33.5 m/s r = 255 m θ = tan⁻¹(v²/(r*g)) = tan⁻¹((33.5 m/s)² / (255 m * 9.8 m/s²) = 0.49 radians

The normal force on the car is given by:

N = mgcos(θ) + F_c*sin(θ)

where N is the normal force and cos(θ) and sin(θ) are the components of the gravitational force and the centripetal force, respectively, parallel and perpendicular to the surface of the road.

Plugging in the values, we get:

N = (1325 kg * 9.8 m/s² * cos(0.49)) + ((1325 kg * (33.5 m/s)²) / (255 m) * sin(0.49)) N = 12434 N

Therefore, the normal force on the car due to the highway surface is 12434 N.

B. For the truck:

m = 2050 kg v = 33.5 m/s r = 255 m θ = tan⁻¹(v²/(r*g)) = tan⁻¹((33.5 m/s)² / (255 m * 9.8 m/s²)) = 0.49 radians

The normal force on the truck is given by:

N = mgcos(θ) + F_c*sin(θ)

Plugging in the values, we get:

N = (2050 kg * 9.8 m/s² * cos(0.49)) + ((2050 kg * (33.5 m/s)²) / (255 m) * sin(0.49)) N = 18109.26 N

To know more about Centripetal force, visit:

https://brainly.com/question/11324711

#SPJ1

Answer:

seismograph

Explanation:

seismograph

Answer:

seismometers and seismograph

Explanation:

this instrument respond to ground noise and shake like quake and volcanoes eruption

(a) When the particle is stationary, it will only experience a force due to the electric field. The force is given by:

F = qE

where q is the particle's charge as well as E is the electric field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(242 N/C) = 1.19 × 10⁻³N

The net force is directed in the +x direction.

Magnetic force is the force that arises between two magnetic objects or between a magnetic object and a moving charged particle. It is one of the four fundamental forces of nature, the others being the strong nuclear force, the weak nuclear force, and gravity.

The magnetic force is caused by the interaction between magnetic fields. When two magnetic objects are brought near each other, their magnetic fields interact and exert a force on each other.

(b) When the particle is moving along the +x axis at a speed of 345 m/s, it will experience both electric and magnetic forces. The electric force will be the same as in part (a). The Lorentz force equation may be utilized to calculate magnetic force:

F = q(v x B)

where v is the particle's velocity and B is the magnetic field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N

The right-hand rule can be used to determine the direction of the magnetic force.  If you point your thumb in the direction of the velocity vector (+x axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the +z direction.

Therefore, the net force on the particle is given by the vector sum of the electric and magnetic forces:

Fnet = (1.19 × 10⁻³ N) + (3.28 × 10⁻³ N) = 4.47 × 10⁻³ N

The net force is directed in the +z direction.

(c) When the particle is moving along the +z axis at a speed of 345 m/s, it will only experience a magnetic force. The magnetic force can be calculated using the same equation as in part (b):

F = q(v x B)

where v is the particle's velocity and B is the magnetic field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N

The right-hand rule can be used to determine the direction of the magnetic force.  If you point your thumb in the direction of the velocity vector (+z axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the -y direction.

Therefore, the net force on the particle is given by the magnetic force:

Fnet = 3.28 × 10⁻³ N

The net force is directed in the +y direction.

To know more about magnetic force, visit:

https://brainly.com/question/3160109

#SPJ1

Winds that normally blow to the west slacken, waters off the coast of South America warm-up, and upwelling decreases, reducing the nutrients in the water. Option 3.

El Niño is a natural climate phenomenon that occurs in the Pacific Ocean, characterized by the warming of the ocean surface water, which causes changes in wind patterns and weather worldwide.

During El Niño, the normal trade winds weaken, which can lead to droughts, flooding, and other weather extremes in various parts of the world.

El Niño events typically occur every two to seven years and can last for several months to a few years.

More on El Nino can be found here: https://brainly.com/question/30794938

#SPJ1

Answer: 3. Winds that normally blow to the west get stronger, waters off the coast of South America cool down, and upwelling increases, improving the nutrients in the water.

The vector described as "40 feet to the right" can also be expressed as a displacement vector. It represents the change in position of an object as it moves from one point to another.

Specifically, the vector denotes a horizontal displacement of 40 feet in the positive x-direction from the starting point.

Another way to describe the vector is to use a coordinate system. If we place the starting point at the origin (0,0) and define the x-axis to be the horizontal direction and the y-axis to be the vertical direction, then the vector can be represented as (40,0), where the first number corresponds to the x-coordinate and the second number corresponds to the y-coordinate. This notation emphasizes the fact that the vector has no vertical displacement, only a horizontal displacement of 40 feet.

Alternatively, we could describe the vector using magnitude and direction. The magnitude of the vector is simply its length, which in this case is 40 feet. The direction of the vector can be described as "to the right" or "in the positive x-direction." This notation is useful when comparing vectors with different magnitudes but the same direction or vice versa.

To know more about Vectors , visit :

https://brainly.com/question/29967785

#SPJ1

Different elements' atoms can have different quantities of neutrons in their nuclei. For instance, stable helium atoms with one or two neutrons are known, although they both have two protons.

Isotopes are the several varieties of helium atoms that have differing masses.

The total number of protons and neutrons in an isotope's nucleus is referred to as the mass number. This is due to the fact that each proton and neutron has a mass of one atomic mass unit (amu).

We may get the mass of the atom by multiplying the total number of protons and neutrons by 1 amu. Each element is made up of a variety of isotopes.

Therefore, Different elements' atoms can have different quantities of neutrons in their nuclei. For instance, stable helium atoms with one or two neutrons are known, although they both have two protons.

To learn more about Atomic number, refer to the link:

https://brainly.com/question/16858932

#SPJ1

Based on the densities of the two liquids, the height of the light liquid in the right arm of the U-tube is 0.203 cm.

Let's first consider the situation before the light liquid is added. At this point, the heavy liquid fills both arms of the U-tube to the same height, h.

The pressure at point A is equal to the pressure at point B

Therefore:

P₀ + ρgh = P₀ + ρgh

where P₀ is the atmospheric pressure, ρ is the density of the heavy liquid, and g is the acceleration due to gravity.

Simplifying this equation, we get:

ρgh = ρgh

Canceling out the ρ and solving for h, we get:

h = h

In other words, the height of the heavy liquid is the same in both arms of the U-tube.

Now let's consider the situation after the light liquid is added to the right arm of the U-tube. We want to find the height, L, of the light liquid in the right arm.

Since the pressure at any two points in a connected vessel is the same, the pressure at point B (the top of the heavy liquid in the right arm) must be equal to the pressure at point C (the top of the light liquid in the right arm).

Therefore, we can write:

P₀ + ρgh = P₀ + ρg(L+h)

where L is the height of the light liquid in the right arm.

Simplifying this equation, we get:

ρgh = ρgL + ρgh

Canceling out the ρgh and solving for L, we get:

L = (ρ/ρ₀)h

where ρ₀ is the density of the light liquid.

Substituting the given values, we get:

L = (0.92 g/cm³ / 13 g/cm³)h

L = 0.070769h

Now we need to find h. We can use the fact that the volume of the heavy liquid in the left arm is equal to the volume of the heavy liquid plus the light liquid in the right arm.

The volume of the heavy liquid in the left arm is:

V₁ = Ah = (13.2 cm²)(h cm)

V₁ = 13.2h cm³

The volume of the heavy liquid plus the light liquid in the right arm is:

V₂ = A(L+h) = (2.11 cm²)(L+h cm)

V₂ = 2.11(L+h) cm³

Since these volumes are equal, we can set them equal to each other and solve for h:

13.2h = 2.11(L+h)

13.2h = 2.11L + 2.11h

11.09h = 2.11L

h = (2.11/11.09)L

Substituting this into our expression for L, we get:

L = 0.070769(2.11/11.09)L

L = 0.01345L

L = 0.01444h

Substituting the given value for the density of the heavy liquid, we get:

L = 0.01444h = 0.01444(13 g/cm³)/(0.92 g/cm³)

L = 0.203 cm

Learn more about U-tube and density at: https://brainly.com/question/26701598

#SPJ1

Complete question:

A heavy liquid with a density 13 g/cm³ is poured into a U-tube as shown in the left- hand figure below. The left-hand arm of the tube has a cross-sectional area of 13.2 cm², and the right-hand arm has a cross-sectional area of 2.11 cm². A quantity of 90.2 g of a light liquid with a density 0.92 g/cm³ is then poured into the right-hand arm as shown in the right-hand figure below.

Determine the height L of the light liquid in the column in the right arm of the U-tube, as shown in the second figure above. Answer in units of cm.