The density of water in a lake is 1000 kg/m³
At a depth of 25m beneath the surface of the lake, the total pressure is 3.5×10⁵ Pa
(a) State what is meant by pressure.
(b) The gravitational field strength is 10 N/kg
. Determine:
(i) the pressure due to 25m of water
pressure =
(ii) the atmospheric pressure=____
atmospheric pressure =_____

0.048 v₀  is the speed of the block after the collision and 95.2 percentage of the ball's initial energy is "lost".

Particles, groups of particles, or solid objects that are moving in the same direction collide when they are sufficiently close to one another.

Ball mass, m1 = 50 g = 0.05 kilogram

ball's velocity, = v₀

brick's mass, m2 Equals 1 kilogram

Let v be the brick's speed following the collision.

Utilize the idea of linear momentum conservation;

m1v0 + m2u2 = v(m1 + m2)

0.05v₀ + 0 = v(1 + 0.05)

0.05v₀ = 1.05 v

v = 0.05v0 / 1.05

v = 0.048 v₀

Consequently, the brick's speed following the contact is 0.048v0.

The entire kinetic energy at rest;

K.E. = 1 / 2 * 1.05 * (0.048 v₀)²

K.E. = 0.012v₀²

How much mechanical energy was lost during the impact;

= 0.025v₀² - 0.012 v₀² / 0.025v₀² * 100%

= 95.2 %

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The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

Therefore, Every physical object in contact with another one applies some force to that object.

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All of the true statements that describe acceleration include the following:

A. Negative acceleration occurs when an object slows down in the positive direction.

C. Negative acceleration occurs when an object speeds up in the negative direction.

D. Positive acceleration occurs when an object speeds up in the positive direction.

F. Positive acceleration occurs when an object slows down in the negative direction.

In Science, an acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

Mathematically, the acceleration of a physical object or body can be calculated by using this formula:

a = (V - U)/t

Where:  

Generally speaking, a physical object would experience positive acceleration when it either speeds up in the positive direction or slows down in the negative direction.

On the other hand (conversely), a physical object would experience negative acceleration when it either speeds up in the negative direction or slows down in the positive direction.

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The magnitude of the net force on the couch will be equal to 30 N.

Force acting on an object can be defined as the effect that changes the state of the body of motion or rest. The force's SI unit is Newton and force is a vector parameter.

The force can be determined from the product of the mass (m) and acceleration (a).

F = ma

Given, the mass of the couch, m = 20 Kg

The couch is accelerating, a = 1.5 m/s²

According to Newton’s second law of motion, the magnitude of the net force on the couch can be calculated as:

F = ma = 20 ×1.5

F = 30 N

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The ratio of the speeds V_1/V_2 =√(R_2/R_1 )

From the question, we have

Orbital speed is,

V=√(GM/R)

Where h= gravitational constant

r= radius of orbit

M= mass

⇒V_1=√(GM/R_1 ) *V_2

⇒V_1/V_2=√(GM/R_2 )

⇒V_1/V_2 =√(R_2/R_1 )

The ratio of the speeds V_1/V_2 =√(R_2/R_1 )

Orbital speed :

The speed at which one body orbits the other body is known as the orbital velocity. The term "orbit" refers to an object's consistent circular motion around the Earth. The distance between the object and the earth's center determines the orbit's velocity. The gravitational pull between the planet and the Sun must alter if the planet's distance from the Sun changes as it orbits. The acceleration of the planet must rise, leading to a higher orbital speed, if the force that the Sun exerts on the planet increases (as the planet gets closer).

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The light can travel in three ways and these are: (1) after being reflected from a mirror, (2) through various media, and (3) directly from the source through empty space.

A mirror is a device that has a reflective surface for light. Since mirrors often reflect light rather than absorb it, the majority of the light is redirected upon contact with the mirror, and the overall quality of the item is typically kept in the new image. Mirrors exist in a variety of forms and are employed in a variety of applications.

It is known as light reflection when a light ray strikes a perfectly smooth, polished surface and reflects back. The surface reflects the incident light rays that come in contact with it. Reflected ray refers to the ray that returns. A perpendicular would be referred to as normal if it were drawn on a reflective surface.

Hence, light can travel in three ways and these are: (1) after being reflected from a mirror, (2) through various media, and (3) directly from the source through empty space.

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We know that in electrochemical series copper has standard reduction potential +0.34 V which is higher than Cadmium(-0.40) .is Cd(s)+Cu2+(aq) -===Cd2+(aq)+Cu(s)

What is electrochemical?

The field of physical chemistry known as electrochemistry studies how a recognisable chemical change and an electrical potential difference interact as a measurable and quantitative phenomenon, with the potential difference either resulting from or being a cause of the chemical change.

Hence  a cell contain copper and cadmium ion Copper half cell always reduction reaction occurs and in cadmium half cell oxidation takes place. E0 cell=Ecathode-E anode=+0.34-(-0.44)=0.78~0.77V

a) Reduction half reaction at cathode

Here cu2+ reduced to metallic Cu   Cu2+(aq)+2e-------> Cu (s) (Reduction)

b) Oxidation half cell reaction at anode

Here Cd oxidized into Cd2+         Cd(s)---------->Cd2+(aq)+2e-

Overall cell reaction

Cd(s)+Cu2+(aq) -===Cd2+(aq)+Cu(s)

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The potential energy of the skateboarder at the top of the ramp is

489.1 J.

The amount of kinetic energy change and the amount of potential energy change are equal in all physical processes that take place in closed systems. When the kinetic energy rises, the potential energy falls, and vice versa.

Potential energy is the stored energy in any object or system as a result of its position or component arrangement. However, external factors like air or height have no effect on it. The energy of a moving object or system is referred to as kinetic energy.

Potential energy = kinetic energy

Potential energy = 1/2mv²

Potential energy = 1/2 × 67×7.3

Potential energy = 489.1 J.

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Since the surface of the Sun has a curved layer of flame that represent prominence rising from the surface of the Sun, an event which is most likely to occur as a result of the prominence is: B. the auroras would become visible.

In Science, the Sun can be defined as an astronomical or celestial body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.

A solar prominence is also known as filament and it can be defined as a large, bright, dense cloud of luminous ionized gas such as hydrogen, sodium calcium, etc., that erupts and extends from the surface of the Sun.

Based on astronomical records, a solar prominence can linger in the corona for a very long time, reaching hundreds of thousands of kilometers into the Sun's atmosphere (space). Consequently, this solar prominence would make the auroras (polar lights) to become visible.

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The average Ф was found to be 80.8 and the coefficient of static friction=0.40

define static friction ?

A force that holds an item at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

1.average Ф=21+17+21+18+19/5

=96/5

=80.8

2. The book is 31 N in mass. His hands and the book have a static friction coefficient of 0.40.

3. f=μxn

=1.3x0.4

=0.52

You can regard them as a single item when they are about to move together. Don't let the information you've been provided get mixed up; instead, utilise the static friction coefficient between box 1 and the floor

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Answer:

I think they are dying because of the sudden increase in the zebra population. The type of interaction between the grass and the small animals is called commensalism. The small animals depend on the grass for shelter, and when the zebras eat the grass ~this is called predation~, the small animals no longer have shelter, so they start dying.

Explanation:

You can measure its mass and volume and use the equation density=mass/volume

When the current in the wire is decreasing the oppose magnitude of the magnetic flux in the loops is decreasing.

Induced currents in the loops and the forces exerted on them are directed so they oppose this change

Magnetic flux is a size of the entire magnetic subject which passes thru a given region. it's far a useful device for helping describe the outcomes of the magnetic pressure on some thing occupying a given location.

Magnetic flux through a surface is the surface integral of the ordinary element of the magnetic subject B over that floor. it is also denoted Φ or ΦB. The SI unit of magnetic flux is the weber, and the CGS unit is the maxwell.

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Answer:

Explanation:

To solve this problem, we can use the following equations:

Linear momentum: p = mv

Angular momentum: L = r x p

Total angular momentum: Ltotal = L1 + L2 + ... + Ln

Moment of inertia: I = mr^2

Angular velocity: w = L/I

Linear velocity: v = w x r

a) To find the mass of the cube sitting 0.5 m from the right end, we can use the equation p = mv. We know that p is the linear momentum of the cylinder just before hitting the board (which is equal to the mass of the cylinder times its velocity). We also know that the mass of the cylinder is 3.5 kg and its velocity is 6.26 m/s. Plugging these values into the equation gives us:

p = (3.5 kg)(6.26 m/s) = 22.01 kg m/s

We can use this value for the linear momentum of the cylinder to find the mass of the cube. Since the board is balanced about a point 2.0 m from the right end, the cube is 0.5 m from the pivot point and the cylinder is 2.5 m from the pivot point. This means that the cube and the cylinder have equal and opposite linear momentum about the pivot point. Therefore, the mass of the cube is equal to the mass of the cylinder, which is 3.5 kg.

b) To find the angular momentum of the cylinder just before hitting the board, we can use the equation L = r x p. We know that r is the distance from the pivot point to the center of mass of the cylinder (which is 2.5 m) and p is the linear momentum of the cylinder (which we just found to be 22.01 kg m/s). Plugging these values into the equation gives us:

L = (2.5 m) x (22.01 kg m/s) = 55.03 kg m^2/s

This is the angular momentum of the cylinder just before hitting the board.

c) To find the total angular momentum just after the collision, we need to find the angular momentum of the board and add it to the angular momentum of the cylinder. We can use the equation Ltotal = L1 + L2 + ... + Ln to do this. Since the board is balanced about a point 2.0 m from the right end, its angular momentum is equal to the mass of the board times the distance from the pivot point to the center of mass of the board times the velocity of the board. We know that the mass of the board is 7.1 kg, the distance from the pivot point to the center of mass of the board is 2.5 m, and the velocity of the board is 6.26 m/s (which is the same as the velocity of the cylinder just before hitting the board). Plugging these values into the equation gives us:

Ltotal = (7.1 kg)(2.5 m)(6.26 m/s) + 55.03 kg m^2/s = 122.64 kg m^2/s

This is the total angular momentum just after the collision.

d) To find the total moment of inertia just after the collision, we need to find the moment of inertia of the board and add it to the moment of inertia of the cylinder. We can use the equation I = mr^2 to find the moment of inertia of each object. For the board, we know that m is the mass of the board (which is 7.1

Answer:

The car goes 100 metres in the east direction,in 4 seconds.

The car goes 50 metres in the west direction,in 1 second.

to find :
The average velocity and average speed of the car.

Explanation:

Speed is a scalar unit which means, direction is not necessary in this case. We can simply divide the total covered distance by the total taken time,in order to calculate the average speed.

So, average speed = (100 m + 50 m)/(4sec + 1sec) = (150m/5sec) = 30m/s

Now, velocity is a vector unit,which means direction is necessary in this case. We need to find the displacement (distance between starting point and ending point of the journey) and we need to divide the displacement with total taken time.

Here,east and west are opposite directions.

So, displacement = 100 m - 50 m = 50 m in east direction

Average velocity = 50m/5sec = 10m/sec

Hence,the average speed is 30m/s and the average velocity is 10m/sec.

Welcome.

The magnitude of the tension in the string applied by the boy is determined as 11.7 N.

The magnitude of the tension in the string is calculated by applying Newton's second law of motion as follows;

Tension in the wire = centripetal force of the boy

T = Fc

T = ma

T = mv²/r

where;

T = ( 0.5 kg x ( 5.4 m/s )² ) / ( 1.25 )

T = 11.7 N

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Cold air typically contains less moisture than warm air, and quick breathing dry air dehydrates the bronchial tubes, causing them to narrow and restrict airflow. The sports and activities are most likely to cause EIB symptoms to require constant movement or are done in cold weather.

When a fluid travels through a medium in an ideal situation, its pressure increases even more when the pipe's radius is increased and it is angled upward.

the tension at a point inside a confined fluid, or the parallel force per unit area. An easy illustration of pressure The surface of the fruit won't be cut if you press the smooth part of a knife against it.

The formula for calculating pressure is P = F / A, or force every unit of the surface area. The Si derived unit for measuring the pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa). One Coulomb per square meter of force exerted perpendicularly on a surface is equal to one pascal.

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n₂ = 1.196. A light beam strikes the boundary between two mediums with different indices of refraction.

When light waves cross the border between two materials with different densities, like air and glass, their speed changes. They alter direction as a result, which is a phenomenon known as refraction. Refraction is the shift in a wave's direction when it travels through one medium and then another.

Absolute refractive index is the comparison between the speed of light in vacuum and the light speed in another medium. Relative refractive index is the ratio of one medium's light speed to a different medium's light speed.

Snell's law = n₁sinθ₁= n₂sinθ₂

and the velocity of light, N = C/ Vn

n₁ = 1.2

n₂ = 1.196

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Answer:

[tex]\huge\boxed{\sf v = 2.7\ m/s}[/tex]

Explanation:

Radius = r = 1.14 m

Angular velocity = ω = 2.38 rad/s

Linear velocity = v = ?

v = rω

v = (1.14)(2.38)

[tex]\rule[225]{225}{2}[/tex]

The wavelength of a wave for 4.86 times 10^11 Hz m is   [tex]6.17 * 10 ^-^4 m[/tex]  and for 8.80 times 10^16 Hz m is  [tex]3.4 * 10 ^-^9 m[/tex]

What are electromagnetic waves?

The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves, or EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves.

What is wavelength?

The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.

It is measured by λ = c/f.

where,

λ = wavelength

c = speed of light

f = frequency

Subsituting the values in equation:

(a) for f = 4.86 times 10^11 Hz m

λ = [tex]\frac{3 * 10^8}{ 4.86 * 10^1^1}[/tex] = [tex]6.17 * 10 ^-^4 m[/tex]

(b) for  f =8.80 times 10^16 Hz m

λ = [tex]\frac{3 * 10^8}{ 8.80 * 10^1^6}[/tex] = [tex]3.4 * 10 ^-^9 m[/tex]

The wavelength of a wave for 4.86 times 10^11 Hz m is   [tex]6.17 * 10 ^-^4 m[/tex]  and for 8.80 times 10^16 Hz m is  [tex]3.4 * 10 ^-^9 m[/tex]

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The magnitude of the entropy change will be greater when [tex]I_2[/tex] (s) sublimates because [tex]I_{2[/tex] (g) has the highest entropy.

Entropy is a measure of the disorder of a system. So, if the system has higher entropy, the system is more disordered.

For a given substance gaseous phase has the highest entropy, and solid phase has the lowest entropy.

ΔS = [tex]S^{0[/tex]( product) - [tex]S^{0[/tex] (reactant)

Both sublimation and melting of [tex]I_{2[/tex](s) are spontaneous processes because solid [tex]I_{2[/tex] is the most ordered and has the lowest entropy. So, ΔS is positive for these processes. However, the magnitude of the entropy change will be greater when [tex]I_{2[/tex](s) sublimates because [tex]I_{2[/tex](g) has the highest entropy.

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When a 2.5 kg sledgehammer hit a cement block with a force of 6.0 Newtons. The force the sledgehammer exerted on the cement block is greater in magnitude and opposite in direction to the force the cement block exerted on the sledgehammer.

This refers to forces that act on an object in opposite directions. The net force is gotten by solving for the difference between the two forces.

When the opposing forces are equal or balanced, the net force is zero.  The sledgehammer hits with a force and the cement block is receiving the impart as a stationary object.

Obviously, the force the sledgehammer exerted on the cement block is greater in magnitude and opposite in direction to the force the cement block exerted on the sledgehammer.

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The angular acceleration as the blades slow down is 194.44 ras/s².

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

The speed of the moving plate is 6500 rpm.

f = 6500 rpm = 6500/60

                      = 108.33 rev/s

The angular speed is

ω = 2πf

ω = 2π × 108.33

   = 680.53 rad/s

time = 3.5 sec

angular acceleration

a = ω final - ω initial /Δt

  = 0 - 680.53 / 3.5

  = 194.44 ras/s²

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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The change in length of the purple spring be 6.77 cm.

The spring stiffness is how we define the term "spring constant." In other words, we can define the spring constant as the force that was used to cause the spring's displacement to be one unit. It follows that a spring's spring constant would increase as it becomes more rigid.

Given parameters:

Spring constant: k = 45 N/m.

Mass of the load: m = 311 g = 0.311 kg.

So, weight of the load: w = mg = 0.311 × 9.8 N = 3.0478 N.

Hence,  the purple spring's change in length be = w/k = 3.03478/45 m = 0.0677 m = 6.77 cm.

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Answer:

In america

Explanation:

Ohio is a state in the Midwestern region of the United States. Of the fifty U.S. states, it is the 34th-largest by area, and with a population of nearly 11.8 million, is the seventh-most populous and tenth-most densely populated.

It is also known for it's weirdness as it doesn't exist

Answer:

Ohio is bordered by Lake Erie to the north, Pennsylvania to the east, West Virginia to the southeast, Kentucky to the southwest and his home to creatures like this

Explanation:

The relative error made by David to the nearest thousandth is 23.

First,

Find the Absolute Error as follows:

= Measure found by David - Actual measure

= 1.54 - 2

= - 0.46

The minus sign here indicates that the measure found by David is lesser than the actual measure of the line.

To find the Relative Error as follows:

= [ ( Absolute Error ) / ( True Value) ] X 100

= [ 0.46 / 2 ] X 100

= 0.23 X 100

= 23

The relative error is defined as the ratio of the absolute error of the measurement to the actual measurement. Using this method we can determine the magnitude of the absolute error in terms of the actual size of the measurement.

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Answer:time in seconds spent for traveling=3×30×24×60×60

. = 7776000 seconds

distance= velocity× time.

. =15×7776000

. =116640000

. =116640km

Explanation:

Potential is constant throughout the sphere. So, the distance we take is the radius of the sphere.

The electric potential inside the sphere at r < r is:

V =[tex]V_{a} +V_{b}[/tex]

= [tex]\frac{k(q)}{r_{a} } + \frac{k(-q)}{r_{b} }[/tex]

= kq  [tex]\left[\begin{array}{ccc}\frac{1}{r_{a} }-\frac{1}{r_{b} } \end{array}\right][/tex]

Part b

The electric potential in between [tex]r_{a}[/tex] and [tex]r_{b}[/tex] is:

[tex]V = V_{a} +V_{b}[/tex]

[tex]\frac{k(q)}{r_{a} } + \frac{k(-q)}{r_{b} }[/tex]

[tex]= kp\left[\begin{array}{ccc}\frac{1}{r_{a} }-\frac{1}{r_{b} } \end{array}\right][/tex]

Part c

The electric potential inside the sphere at r < [tex]r_{b}[/tex] is:

[tex]V = V_{a} +V_{b}[/tex]

[tex]\frac{k(q)}{r_{a} } + \frac{k(-q)}{r_{b} }[/tex]

[tex]= kp\left[\begin{array}{ccc}\frac{1}{r_{a} }-\frac{1}{r_{b} } \end{array}\right][/tex]

= 0

A voltmeter is used to measure the potential difference between two points. A voltmeter has a high resistance and is connected in parallel with an electrical component that measures the potential difference. The net potential energy between two adjacent ions EN.whose values depend on the particular ionic system.

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A volt/ohm meter, commonly referred to as a multimeter or multitester, is an electronic measuring device that integrates multiple measurement capabilities into a single unit. Voltage, current, and resistance measurements are among the things that a typical multimeter may be able to do.

Connect the voltmeter to the circuit in a specific method in order to utilize it to measure the potential difference. Wire 1, or the portion of the circuit before the bulb, must be connected to the voltmeter's one end.

Therefore, The circuit after bulb, or wire 2, must be linked to the other end of the voltmeter.

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