Decribe the motion of a body following under gravity and write the related equation

Answer:

taste buds

Explanation:

very sensitive microscopic hairs called microvilli. The tiny hairs send messages to the brain about how something tastes, so you know if it's sweet, sour, bitter, or salty

Answer: -200,000N

(To be more specific, 200,000N in the opposite direction)

Explanation:

By Newton's 3rd law (Action reaction pair)

The crumple zone exerts a force on the wall, the wall will exert an equal but opposite force on the wall.

Same magnitude -> 200,000N

Opposite direction-> Include a negative sign as force is a vector which depends on both magnitude and direction.

According to the question the rotational kinetic energy of a 12-kg motorcycle wheel is 809.14 J

The SI unit for rotational kinetic energy is the joule (J). The rotating kinetic energy formula has a similar structure to a translational kinetic energy equation. Kinetic energy is created by spinning objects around an axis. This type of energy is influenced by the object's mass, weight, and center of mass angle with respect to the axis.

Given data -

Mass = 12-kg

Angular velocity (ω) -120rad/s

inner radius = 0.280 m

outer radius = 0.330 m.

By using the formula

I = ½*M (r1² + r2²)

I = ½ *(12) * (0.2802 + 0.3302)

I = 1.1238 Kgm2

K.E = ½*Iω2

K.E = ½ * (1.1238)*(120)2

K.E = 809.14 J

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Speed as the skier crashes into the snow bank: 0.434 m/s

Distance the snow compresses: 1.544 m

The speed of the skier as he crashes into the snow bank is the initial speed since there is no acceleration due to the lack of friction. The distance the snow compresses is calculated using the following equation:

compression = (mass x velocity2) / (2 x spring constant)

Therefore, compression = (75 kg x 0.4342) / (2 x 50 N/m) = 1.544 m

Caffeine dosage and time to finish a maze are independent variables, meaning that a change in one does not cause a change in the other. It is possible that caffeine dosage may have an effect on the time it takes to finish a maze, but the time it takes to finish a maze would not cause a change in caffeine dosage.

Caffeine is a stimulant that can affect the central nervous system and can have a range of effects on the body, including increased alertness, focus, and energy. When it comes to completing a maze, the time it takes to finish it could be affected by the person's level of alertness, focus, and energy. Therefore, if a person ingests a certain dosage of caffeine, it could affect the time it takes for them to finish the maze because of the effect caffeine has on the body.

On the other hand, the time it takes to finish a maze does not affect the caffeine dosage, in other words, caffeine dosage is an independent variable, it does not depend on other variables, and does not change based on the time it takes to complete a maze. It is determined by the amount of caffeine consumed.

So, in short, caffeine dosage can have an effect on the time it takes to finish a maze, but the time it takes to finish a maze does not have an effect on caffeine dosage.

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The objects must be of opposite charge because the electric force of attraction between them increases when they are released and free to move.

This means that the electric force must be a repulsive force that pushes the objects away from each other. Opposite charges attract and as charges repel, the objects must be of opposite charge for the electric force to increase when the objects are released and free to move.

Therefore when two small objects carry the same amount of charge, the magnitude of the electric force exerted by one object on the other is 0.10 N when they are held 30 mm apart. If the force magnitude increases when the objects are released and free to move, then we can say that they are opposite charges.

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The velocity of the object is 7.74m/s

Though it may sound sophisticated, velocity is simply the rate at which an object's location changes with regard to a frame of reference and time. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.

We are given that,

Acceleration = 12m/s²

Radius = r = 5.0m

Velocity = v = ?

The velocity of the object can be calculated by the formula ,

a = v²/r

v = √ar

v = √12m/s²× 5m

v = √60m²/s²

v= 7.74m/s

Thus , the velocity of the object would be 7.74m/s.

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The complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is: j200Ω.

What is inductance?

Inductance is a property of an electrical component that describes the ability of the component to store energy in a magnetic field when electric current passes through it.

Inductance is measured in units of henrys (H). When current flows through a component with inductance, it creates a magnetic field around the component that resists changes to the current. This resistance to changes in current is called inductive reactance and is measured in units of ohms.

The complex impedance of an inductor is given by Z = jωL, where ω is the angular frequency and L is the inductance.
Therefore, the complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is:
Z = j(2000π) (100 x 10-3) = j(2π) (100 x 10-3) = j200Ω

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The final velocity of the red-blue carts system is 5 cm/s.

The final speed of the two carts, that is the red cart and the blue cart system after the collision is calculated by applying the principle of conservation of linear momentum.

Pi = Pf

m₁u₁ + m₂u₂ = v ( m₁ + m₂ )

where;

m₁u₁ + 0 = v ( m₁ + m₂ )

m₁u₁ = v ( m₁ + m₂ )

v = ( m₁u₁ ) / ( m₁ + m₂ )

The final velocity of the red-blue carts system is calculated as;

v = ( 50 kg cm/s ) / ( 5 kg + 5kg )

v = 5 cm/s

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The complete question is below:

A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision. What is the final velocity of the two carts system after the collision if the mass of the blue cart is 5 kg.

The acceleration which is acting on the object which is moving on the ramp is same for both the motion whether is going upwards or moving downwards.

Rolling motion happens when an object roll over from a ramp or any other sloppy surface whether it is rough or smooth. many forces act on it at the same moment. also in many forces rolling tangential force and gravitational force is also acting on it at the same moment. in which the gravitational force is acting on it at a bigger pace and plays an important role in rolling of the object from the ramp or any other sloppy surface. here we can see that the only force that is making impact on the object is the gravitational force. Hence, by this information we consider that the  acceleration which is acting on the object which is moving on the ramp is same for both the motion whether is going upwards or moving downwards.

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When feelings of anxiety and worry become excessive, out of control, and interfere with daily life, they can develop into pathological diseases called anxiety disorders. So the correct option is (c).

Anxiety disorders are characterized by feelings of apprehension and fear, which are normal human emotions. However, when these feelings become excessive, uncontrollable, and affect daily life, they can be considered a pathological disorder. Anxiety disorders can affect a person's ability to perform daily activities, such as work or school, and can also cause physical symptoms such as insomnia, muscle tension, and fatigue. These disorders can be recurrent, but they need to be excessive, uncontrollable, and affect daily life in order to be considered pathological.

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The time taken is 3.33 ns for light to travel 1.0 cm in a spectrophotometer.

What is time?

Time is defined as a scalar quantity that describes the progression of events in the universe. It is often considered to be the fourth dimension of spacetime, along with the three dimensions of space. Time is closely related to the concepts of causality, or the relationship between cause and effect, and is considered to be a fundamental aspect of the physical universe.

The distance light travels in 1 cm is equal to 1 cm x 10^-2 m. To find out how long it takes for light to travel this distance, we can use the formula:

time = distance / speed

Where distance is the distance light travels (1.0 cm x 10^-2 m), and speed is the speed of light in vacuum (3.0 x 108 m/s).

time = (1.0 cm x 10^-2 m) / (3.0 x 108 m/s)

time = 3.33 x 10^-10 s

To convert this time to nanoseconds (ns), we can multiply the time in seconds by 1 billion (10^9):

time = 3.33 x 10^-10 s x 10^9 ns/s

time = 3.33 ns

Therefore, the time taken is approximately 3.33 ns for light to travel 1.0 cm in a spectrophotometer.

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Steel is an alloy of iron and carbon. One of the main reasons steel is used more widely than iron is that it’s stronger than iron.

Steel, unlike other forms of iron, is strengthened by the addition of carbon, making it more resistant to fracture. Additional components are possible or even expected. To prevent corrosion and oxidation, stainless steels typically contain an extra 11% chromium. Steel's low price and high tensile strength make it a popular material for many different types of construction, as well as for transportation, manufacturing, and defense. Cast iron is the primary component of steel. It can crystallize in either a body-centered cubic or a face-centered cubic form, depending on the temperature. Steel and cast iron are characterized by a wide variety of properties due to the interaction of iron's various allotropes with the alloying elements, most notably carbon.

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If the lever is frictionless, to raise the rock a distance of 0.13 m, then the boy has to move the lever to 0.72 m.

An external force that acts upon an object results in a motion of the object, then it is called a work done upon the object by that force.

Given that the external force on a lever is 225 N and on a rock is 1250 N. The distance of motion by the rock is 0.13 m.

Hence the work done by the lever will be equivalent to the work done by the rock to move a particular distance.

Work (Lever) = Work (Rock)

F(lever) x D (lever) = F (rock) x D (rock)

225x D(lever)= 1250 x0.13

D(lever) is 0.72 m

Hence we can conclude that the distance of the motion by the lever is 0.72 m.

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Each base is at the intersection of a square-shaped infield in baseball. 8100 square feet, 900 square yards, or 90 × 90 square feet make up the space.

Nine players occupy the diamond-shaped field that is used for baseball. There are two main areas of the field: the infield and the outfield. Four infielders and two core players cover the infield. Three outfielders cover the outfield.

In a letter dated May 26, James Cannon expressed shock that the "diamond" form is referred to as a rhombus. A baseball diamond, he pointed out, is essentially a square.

The elevated dirt area in the middle of the infield known as the hill—also known as the pitcher's mound—is where the pitcher throws. The pitcher's rubber is located directly behind the middle of the mound and is what they use to prepare and throw the ball.

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Due to this air resistance, Galileo discovered that heavier or more dense things fall more quickly than less dense ones. Together, a brick and a feather fell. The feather falls more slowly due to air resistance.

Descending against air resistance an object often experiences some air resistance as it falls through the air. The leading surface of the object collides with air molecules, creating air resistance. Several variables affect how much air resistance the object really experiences.

Therefore, heavier things fall quicker than lighter ones because the force of gravity acting on them is greater. As a result, heavier objects accelerate at faster speeds until the force of air resistance acts on them.

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The required speed of the centre of mass of the two-railcar system after the collision will be half as much as it was before the collision.

One of the railroads has zero motion prior to the collision. Following it, both railroads move at the same speed. By the conservation of the total momentum of the system, we have,

m vi = m vf + m vf

m vi = 2 m vf

vi = 2 vf

vf = 1/2 vi

vf is the velocity after collision

vi is the velocity before collision

Thus, the speed of the railroad together after the collision is calculated to be half of that before collision.

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Since I0 is the lowest sound intensity that a person with normal hearing can detect, it is chosen as the reference point. Given that log10 1 = 0, the decibel level of a sound with an intensity of 10–12 W/m2 is = 0 dB. In other words, the human hearing threshold is zero decibels.

The reference value I0 is 10–12 W/m2, which corresponds to the threshold of hearing intensity at 1000 Hz. The Sound Intensity Level, or SIL for short, is the intensity decibel scale. The related sign, like in our text, is LI.

Much more frequently than sound intensities in watts per square meter, sound intensity levels are expressed in decibels (dB). Both the scientific literature and the public media use decibels as their preferred measurement unit. The rationale behind this decision of units has to do with how we hear. There is a reference intensity, I0 = 1012 W/m2. The lowest or threshold intensity of sound that a person with normal hearing can perceive at a frequency of 1000 Hz is specifically known as I0. The degree of sound intensity is not the same as the intensity. is a unitless quantity that informs you of the sound level in relation to a predefined standard (1012 W/m2, in this case), as it is defined in terms of a ratio.

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Correct option is C, Centripetal force remains constant.

Centripetal Force -

Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.

A net force that keeps an object moving in a circular motion is known as a centripetal force.

Centripetal force has the formula =mv2r. The newton or kgms2 is the measure of force.

A centripetal force is applied to any item travelling in a circle (or along a circular path). In other words, the object is being physically pushed or pulled in the direction of the circle's center. This is the necessary centripetal force.

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The coefficient of viscosity of a liquid can be determined from the motion of a bubble rising or falling through the liquid.

What is viscosity?

Viscosity basically is the measure of a fluid's resistance to flow. It is a measure of a fluid's internal friction, which is caused by the attraction of molecules in the fluid. Viscosity is an important physical property of fluids, as it affects the fluid's flow characteristics.

The equation for the coefficient of viscosity is given by:

2/9 r2 ρg/v.

where,

r = radius of bubble

ρ = density of liquid

g = acceleration due to gravity

v = velocity of bubble

Therefore, to calculate the coefficient of viscosity of a liquid, we need to know the radius of the bubble, the density of the liquid, the acceleration due to gravity, and the velocity of the bubble.

Hence, the coefficient of viscosity of liquid is 2/9 r2 ρg/v.

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Answer:

forest

Explanation:

cause of the echo

Answer:

forest

Explanation:

very spacious enough to make echo

Answer:

Work done is 2280 Joules.

Explanation:

Work done can be found using the formula

[tex]W=Fs\\[/tex]

where:
W is work done ( in Joules)
F is force ( in Newtons)
s is displacement ( in Meters)

Assuming we are on Earth, we can find the force acting on the object using the mass with the following:

Mass × 10 = Force

12.0 × 10 = 120N

Moreover, we can find displacement by simply subtracting the final distance from the starting distance:

22.0m - 3.00m = 19.0m

Therefore,

 [tex]W = Fs[/tex]

[tex]W = 120N[/tex] × [tex]19m[/tex]

[tex]W= 2280J[/tex]

The first question is asking which phase change occurs when steam is cooled to 100°C. The answer is condensation.

The second question is asking for the term that refers to the amount of energy needed to change a liquid into a gas, without changing its temperature. The answer is heat of vaporization.

The third question is asking in which phase change hydrogen bonds are formed. The answer is freezing.

The fourth question is asking for the amount of energy required to raise the temperature of 20 g of a substance from 72°C to 88°C, given that the specific heat of the substance is 0.215 J/g°C. To solve this problem, you can use the formula Q = m * c * delta T, where Q is the energy required, m is the mass of the substance, c is the specific heat, and delta T is the change in temperature. Plugging in the given values, you get Q = 20 g * 0.215 J/g°C * (88°C - 72°C) = 68.8 J. Therefore, the answer is 68.8 J.

The absolute pressure in a car tire can found by following method:

Pressure is the force per unit area applied toward a course perpendicular to the outer layer of an item. To keep it precise, it is an amount of force following up on a unit area. The SI unit for pressure is measured in Pascals (Pa). Other non-SI units are bar and PSI. There are two types of references to quantify pressure,

                                 Gauge Pressure

                                 Absolute Pressure

Formula of Absolute pressure is given by:

                                       p(a) = p(g) + p(atm)

Where ,

p(a) is absolute pressure,

p(g) is gauge pressure and

P(atm) is atmospheric pressure

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The set of spectral lines that we see in a star's spectrum depends on the star's (b) chemical composition, (d) temperature.

The spectral lines of a star are determined by its chemical composition and temperature. These properties determine the number and type of atoms present in the star's atmosphere. Each type of atom has its own unique set of spectral lines, and the temperature of the star determines the energy level of the atoms, which affects the wavelengths of the spectral lines emitted. The rotation rate and atomic structure of a star do not affect the set of spectral lines we see in its spectrum.

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Answer:

6.9 m/s

Explanation:

This is a conservation of momentum problem, so the total momentum before the collision must equal the total momentum after the collision.

P = mv

m1v1 + m2v2 (before) = m1v1 + m2v2 (after)

(3250kg)(25.0 m/s) + (2820 kg)(0m/s) = (3250 kg)(19.0 m/s) + (2820 kg)(v2)

Now you can solve for the v of the car after the collision:

81250 kg·m/s + 0 = 61750 kg·m/s + (2820 kg)v2

19500 kg·m/s = (2820 kg)v2

v2 = 19500 kg·m/s / 2820 kg = 6.9 m/s

When two unequal masses are dropped simultaneously from the same height, then both masses will experience the same change in D: velocity.

Velocity is the prime indicator of the position and the rapidity of the object. It can be described as the distance covered by an object in a unit of time. It means that velocity is the displacement of the object in unit time. When in the case where two objects with unequal masses are dropped simultaneously from the same height, both masses will attain the same change in velocity.

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Answer:

To derive the formula for the pressure at a distance r from the rotation axis, you can use the principle of hydrostatic equilibrium. This states that the pressure at a point in a fluid is equal in all directions and the net force on a fluid element is equal to zero.

Consider a small cylindrical element of fluid at a distance r from the rotation axis, as shown in the diagram below. The dimensions of the element are dr in the radial direction, 2πr in the circumferential direction, and h in the vertical direction. The weight of the element is equal to the product of its volume, density, and the acceleration due to gravity: W = (2πr)(dr)(h)(ρ)(g). The pressure at the top and bottom faces of the element is P + dP, where P is the pressure at the point and dP is a small change in pressure. The forces acting on the element are the weight of the element, the pressure force at the top face, and the pressure force at the bottom face.

[asy]

unitsize(2cm);

pair P1, P2, P3, P4;

P1 = (0,0);

P2 = (1,0);

P3 = (1,1);

P4 = (0,1);

draw((-0.5,0)--(1.5,0));

draw((0,-0.5)--(0,1.5));

draw(P1--P2--P3--P4--cycle);

draw((0.5,0)--(0.5,1));

draw((0.25,0)--(0.25,1));

draw((0.75,0)--(0.75,1));

label("$r$", (0.5,1.5), red);

label("$