A displacement vector is 23 km in length and directed 65° south of east. What are the components of this vector?

Eastward
Component Southward. Component
(a) 21 km 9.7 km
(b) 23 km 23 km
(c) 23 km 0 km
(d) 9.7 km 21 km​

Answer:

Va=8m/s Vb =10m/s Vc=7.14m/s Vs=6.67

Explanation:

#student A runs 100m in 12.5 seconds so in average he run 8 m in every second

#student B runs 100m in 10 seconds those means I'm average the student run 10m in each second.

#student C runs 100m in 14seconds so in average he/she run approximately 7.14m in every second.

#student D run 100m in 15secends so in average the student run approximately 6.67m in each second.

A. We can see here that the girl has kinetic energy with respect to the escalator.

B. The kinetic energy doesn't depend on the chosen reference.

Kinetic energy is the energy that an object possesses due to its motion. Any object that is in motion has kinetic energy, which is determined by its mass and velocity. The formula for kinetic energy is KE=1/2mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object.

Kinetic energy is a scalar quantity, meaning it has only magnitude and no direction. The unit of kinetic energy is Joules (J) in the International System of Units (SI).

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C. It would red-shift. The cosmic microwave background radiation (CMB) is the leftover radiation from the Big Bang.

Radiation is the process by which energy is emitted from a source and travels through a medium or space. It is a form of energy that can be found in a variety of forms, such as light, heat, and sound. Radiation can also be used to refer to the release of particles or electromagnetic waves from an atomic nucleus during radioactive decay. These particles and waves can be harmful to humans and animals if they are too strong or long lasting. Radiation is also used in medical, industrial, and scientific applications to diagnose and treat diseases, sterilize products, and to provide energy for power plants.

It is composed of a low-energy form of light called microwaves. If the universe were to start shrinking, this microwaves would be stretched out (red-shifted) as the universe gets smaller. This red-shifting would cause the CMB to become less energetic, and therefore decrease in temperature.

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A simplified version of Rutherford’s calculation of the size of the gold nucleus. A piece of gold foil that is 0.010 cm thick and whose area is 1 cm x 1 cm is used in the experiment. It is observed that 99.93% of all particles go through undeflected. The density of gold is 19,300 kg/m3.

Rutherford's experiment involved firing alpha particles (helium nuclei) at a thin sheet of gold foil to study the structure of atoms. Based on the results of this experiment, Rutherford was able to deduce that atoms have a small, dense nucleus at their center.

In this problem, we will go through a simplified version of Rutherford's calculation of the size of the gold nucleus.

First, we need to calculate the total number of gold atoms in the foil. We know that the foil is 0.010 cm thick and has an area of 1 cm x 1 cm, so its volume is

V = thickness x area = 0.010 cm x (1 cm x 1 cm) = 0.010 [tex]cm^{3}[/tex]

The density of gold is 19,300 kg/[tex]m^{3}[/tex], which is equivalent to 19.3 g/[tex]cm^{3}[/tex]Therefore, the mass of the gold foil is

m = density x volume =  19.3 g/[tex]cm^{3}[/tex] x 0.010 [tex]cm^{3}[/tex] = 0.193 g.

The molar mass of gold is 197 g/mol, so the number of gold atoms in the foil is

N = (0.193 g) / (197 g/mol) x (6.022 x [tex]10^{23}[/tex] atoms/mol) = 1.86 x [tex]10^{21}[/tex] atoms

Next, we need to determine the fraction of alpha particles that are deflected by the gold nucleus. We are told that 99.93% of all alpha particles go through undeflected, which means that only 0.07% of the alpha particles are deflected. This is a very small fraction, which suggests that the size of the gold nucleus must be very small compared to the size of the atom.

Assuming that the alpha particles are deflected only by the gold nucleus and not by the electrons, we can use the principle of conservation of momentum to estimate the size of the gold nucleus. When an alpha particle approaches the gold nucleus, it experiences a repulsive electrostatic force that causes it to change direction. The magnitude of this force is given by Coulomb's law

F = k[tex]q_{1}[/tex][tex]q_{2[/tex] / [tex]r^{2}[/tex]

Where k is Coulomb's constant, [tex]q_{1}[/tex] and [tex]q_{2}[/tex] are the charges of the alpha particle and gold nucleus, respectively, and r is the distance between them. Since the alpha particle has a positive charge and the gold nucleus has a positive charge, the force is repulsive.

If we assume that the alpha particle is initially moving directly toward the center of the gold nucleus, then at the point of closest approach, the alpha particle will have a velocity v that is perpendicular to the direction from the alpha particle to the gold nucleus. At this point, the force on the alpha particle will be perpendicular to its velocity, which means that it will change only the direction of the alpha particle's velocity, not its magnitude.

Using conservation of momentum, we can relate the angle of deflection θ to the distance of closest approach r.

m[tex]v^{2}[/tex] / r = k[tex]q_{1}[/tex][tex]q_{2[/tex] / [tex]r^{2}[/tex]

Where m is the mass of the alpha particle. Solving for r, we get

r = k[tex]q_{1}[/tex][tex]q_{2[/tex] / m[tex]v^{2}[/tex]

To estimate the size of the gold nucleus, we assume that the alpha particles are deflected by a single, stationary gold nucleus at the center of the atom. In reality, the gold nucleus is not stationary, but this assumption gives us a rough estimate of its size.

Hence, the alpha particles are undeflected with a probability of 0.9993, we can assume that they do not interact with the gold nucleus and that their path is a straight line through the foil.

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Period, T [tex]\Longrightarrow T=\frac{60}{14} \Longrightarrow T \approx 4.286 \ s[/tex]

Using the equation, [tex]T=2 \pi \sqrt{\frac{l}{g} }[/tex], find l. ("g" is the acceleration from gravity, 9.8 m/s^2)

[tex]T=2 \pi \sqrt{\frac{l}{g} } \Longrightarrow 4.286=2 \pi \sqrt{\frac{l}{9.8} } \Longrightarrow \frac{4.286}{2 \pi} =\sqrt{\frac{l}{9.8} }[/tex]

[tex]\Longrightarrow (\frac{4.286}{2 \pi})^2 =\frac{l}{9.8} \Longrightarrow l =9.8(\frac{4.286}{2 \pi})^2 \Longrightarrow l \approx 4.560 \ m[/tex]

Thus, the radio booth is 4.560 m from the field.

Period, T [tex]\Longrightarrow T=\frac{60}{14} \Longrightarrow T \approx 4.286 \ s[/tex]

Using the equation, [tex]T=2 \pi \sqrt{\frac{l}{g} }[/tex], find l. ("g" is the acceleration from gravity, 9.8 m/s^2)

[tex]T=2 \pi \sqrt{\frac{l}{g} } \Longrightarrow 4.286=2 \pi \sqrt{\frac{l}{9.8} } \Longrightarrow \frac{4.286}{2 \pi} =\sqrt{\frac{l}{9.8} }[/tex]

[tex]\Longrightarrow (\frac{4.286}{2 \pi})^2 =\frac{l}{9.8} \Longrightarrow l =9.8(\frac{4.286}{2 \pi})^2 \Longrightarrow l \approx 4.560 \ m[/tex]

Thus, the radio booth is 4.560 m from the field.

Answer:

make exact measurements and follow the procedure exactly

Explanation:

accurate doesn't mean correct. It just means that the results from the experiment are the result of following the procedure

Ten steel balls, each weighing 27g, are placed in a measuring cylinder filled with 20cm3 of water. The measurement of the water level increases to 50cm3.Then the density of the steel is 9 g/cm³.

Since the steel balls are fully immersed in water, the amount of water they displaced is equal to the volume of balls.

The volume of water before the balls were added is 20 cm³.

The water level rises to a reading of 50cm³ which means it is the total volume of water and the steel balls together. Therefore, the volume of the steel balls is:

50 cm³ - 20 cm³ = 30 cm³

It is given that there are ten identical balls, so the volume of each ball is:

30 cm³ ÷ 10 = 3 cm³

Each ball has a mass of 27 g.

So, the density of steel is calculated by following formula:

Density = Mass ÷ Volume

Density = 27 g ÷ 3 cm³

Density = 9 g/cm³

Therefore, the density of the steel balls is 9 g/cm³.

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2. Hooke saw tiny openings in cork and named them "cells", 3. Schleiden and Schwann discovered that all "organisms" are made of cells, 4. Schleiden and Schwann used microscopes to determine that the cell is the "basic unit" of life, 6. Water - do not mix with lipids, 7. Nucleic acids - contain instructions, 8. Proteins - some help break down nutrients, 9. Lipids - do not mix with water, and 10. Carbohydrates - sugar is one.

Water is a polar molecule, meaning it has a positive and negative end. Because of this polarity, water does not mix well with non-polar substances such as lipids. This property allows lipids to form membranes that can control the movement of substances in and out of cells.

Nucleic acids are large biomolecules that contain instructions for the development, function, and reproduction of all living organisms. The two main types of nucleic acids are deoxyribonucleic acid (DNA) and ribonucleic acid (RNA), which store and transmit genetic information.

Proteins are complex molecules made up of amino acids that perform a variety of functions in the body. Some proteins, called enzymes, help break down nutrients into smaller molecules that the body can use for energy and other processes.

Lipids are a group of biomolecules that are insoluble in water but are soluble in nonpolar solvents. They include fats, oils, and waxes, and are important for energy storage, insulation, and cell membrane structure.

Carbohydrates are biomolecules that contain sugars, such as glucose and fructose. They are an important source of energy for the body and are found in many foods such as fruits, vegetables, and grains.

Therefore, The correct answers are 2. Hooke saw tiny openings in cork and named them "cells", 3. Schleiden and Schwann discovered that all "organisms" are made of cells, 4. Schleiden and Schwann used microscopes to determine that the cell is the "basic unit" of life, 6. Water - do not mix with lipids, 7. Nucleic acids - contain instructions, 8. Proteins - some help break down nutrients, 9. Lipids - do not mix with water, and 10. Carbohydrates - sugar is one.

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Answer:

Acceleration (a) = 3 m/s^2

Initial velocity (vo)= 7 m/s.

Explanation:

We can use the equations of motion to solve this problem. Let's start with the second equation of motion:

d = vot + (1/2)at^2

where d is the displacement, vo is the initial velocity, a is the acceleration, and t is the time.

Using this equation for the 2nd second, we have:

17 = vo(2) + (1/2)a(2^2)

17 = 2vo + 2a

Using the same equation for the 9th and 10th seconds, we have:

46 = vo(10) + (1/2)a(10^2) - vo(9) - (1/2)a(9^2)

46 = 10vo + 50a - 9vo - 40.5a

46 = vo + 9.5a

Now we have two equations with two unknowns (vo and a). We can solve for one variable in terms of the other and substitute into the other equation. For example, we can solve the first equation for vo:

2vo = 17 - 2a

vo = (17 - 2a)/2

Now we can substitute this expression for vo into the second equation:

46 = [(17 - 2a)/2] + 9.5a

Solving for a, we get:

a = 3 m/s^2

Now we can use the expression for vo to find its value:

vo = (17 - 2a)/2

vo = (17 - 2(3))/2

vo = 7 m/s

Therefore, the acceleration of the particle is 3 m/s^2 and its initial velocity is 7 m/s.

Answer:

Acceleration (a) = 3 m/s^2

Initial velocity (vo)= 7 m/s.

Explanation:

We can use the equations of motion to solve this problem. Let's start with the second equation of motion:

d = vot + (1/2)at^2

where d is the displacement, vo is the initial velocity, a is the acceleration, and t is the time.

Using this equation for the 2nd second, we have:

17 = vo(2) + (1/2)a(2^2)

17 = 2vo + 2a

Using the same equation for the 9th and 10th seconds, we have:

46 = vo(10) + (1/2)a(10^2) - vo(9) - (1/2)a(9^2)

46 = 10vo + 50a - 9vo - 40.5a

46 = vo + 9.5a

Now we have two equations with two unknowns (vo and a). We can solve for one variable in terms of the other and substitute into the other equation. For example, we can solve the first equation for vo:

2vo = 17 - 2a

vo = (17 - 2a)/2

Now we can substitute this expression for vo into the second equation:

46 = [(17 - 2a)/2] + 9.5a

Solving for a, we get:

a = 3 m/s^2

Now we can use the expression for vo to find its value:

vo = (17 - 2a)/2

vo = (17 - 2(3))/2

vo = 7 m/s

Therefore, the acceleration of the particle is 3 m/s^2 and its initial velocity is 7 m/s.

Explanation:

Resistance of the resistors, R₁ and R₂ are 80Ω and 200Ω respectively.

V(A) = 12 V

ΔV(B) = 2 V

ΔV(C) = 5 V

R₃ = 200Ω

Since, the total voltage-drop along the upper branch must be 12 V, according to loop rule, the voltage-drop across resistor 3 is 5.0V

So, current through the loop,

I = V(C)/R₃

I = 5/200

I = 25 x 10⁻³A

a) Therefore, the resistance,

R₁ = V(B)/I

R₁ = 2/25 x 10⁻³

R₁ = 80Ω

b) Resistor 2 has the same voltage-drop as resistor 3. So, its resistance, R₂ is 200Ω.

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It is a true statement that the sensory hair cells of the semicircular canals convert vibrations into electrical impulses.

The sensory hair cells located in the semicircular canals of the inner ear are responsible for converting mechanical vibrations caused by head movements into electrical impulses that are then transmitted to the brain for processing. This process helps the body maintain balance and spatial orientation.

The semicircular canals are part of the vestibular system in the inner ear, which plays a crucial role in detecting changes in head position and movement. The sensory hair cells in the semicircular canals are embedded in a gelatinous structure called the cupula, which moves in response to the flow of endolymphatic fluid inside the canals.

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Acoustic amplification is not an application of ultrasonic waves.

Ultrasonic waves are used in many different applications such as medical imaging, where they are used to create images of the internal structures of the human body.

Echolocation, which is used by animals such as bats and dolphins to navigate their environment, also relies on the use of ultrasonic waves. Additionally, ultrasonic waves are used in nondestructive testing to detect flaws or defects in materials without damaging them.

Acoustic amplification, on the other hand, involves the use of sound waves to amplify or enhance the sound produced by a musical instrument or a speaker. It does not involve the use of ultrasonic waves.

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(a) Intensity of emitted light at distance d is approximately 1.95 nW/m². (b) Power of emitted light intercepted by Earth is approximately 3.67 kW.

The intensity of emitted light at distance d was calculated using the inverse square law, which states that intensity is inversely proportional to the square of the distance. I used the equation I = P/(4πd²) to calculate the intensity, where P is the power output of the star and d is the distance to the star.

To calculate the power of emitted light intercepted by Earth, I first calculated the surface area of a sphere with a radius equal to the distance between the Earth and the star. Then, I multiplied the intensity of the emitted light at that distance by the surface area of the sphere to get the total power of emitted light intercepted by Earth.

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Answer:

True

Explanation:

"Passive sonar uses specialized transducers called hydrophones (or underwater microphones) to listen to sounds in the ocean. These hydrophones convert received sounds into electrical signals that are then sent to a computer for a sonar operator to look at, listen to, and analyze."

The charged particle is moving at a speed of 1.424 x 10³ m/s.

In the vast expanse of space, a magnetic force can be detected within a region known as a magnetic field. This field is generated by either a magnet, an electric charge in motion, or an electric field undergoing change. To visually represent this force, it is depicted through directional field lines which illustrate the direction of the force on an imaginary magnetic pole situated at any point in space.

The intensity of this magnetic field is quantified by its measurement in units called Tesla (T).

The force on a charged particle moving perpendicular to a magnetic field is given by the equation:

F = Bqv

where F is the force on the charge, B is the magnetic field strength, q is the charge of the particle, and v is its velocity.

Rearranging this equation, we can solve for v:

v = F / (B*q)

Substituting the given values, we get:

v = (2.14 x 10⁻⁸ N) / (5.00 x 10⁻⁵T * 2.99 x 10⁻⁶ C)

v = 1.424 x 10³ m/s

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Answer:142

Explanation: on acellus, and maybe on what ever else you are on, but i do know it's right on acellus!! :)

B) Both employ the triple point of water and absolute zero.

Absolute zero and the triple point of water serve as the foundation for both the Celsius and Kelvin scales. Absolute zero, or 0 K on the Kelvin scale and -273.15 °C on the Celsius scale, is the temperature at which all matter has no thermal energy.

The triple point of water is determined to be 273.16 K on the Kelvin scale and 0.01 °C on the Celsius scale. It is the temperature and pressure at which water can coexist in all three phases (solid, liquid, and gas) in equilibrium.

Absolute zero and the triple point of water serve as identical fiduciary points for both the Celsius and Kelvin temperature systems. The temperature ranges for each scale are determined by the fiduciary points, which are essential to temperature scales.

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The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination.

v = √rg tanθ

tanθ=v²/rg  

The relation gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity.

The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination. The normal force acting on the car while travelling through such a curving road has a horizontal component. The centripetal force needed to prevent skidding is provided by this component.

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Answer:

iron

Explanation:

iron is a solid where the particles are closer together, so sound will vibrate the particles faster than in a liquid or gas where the particles are further spaced out.

Answer:

iron

Explanation:

iron is a solid where the particles are closer together, so sound will vibrate the particles faster than in a liquid or gas where the particles are further spaced out.

The ratio of the specific heat capacity of P to Q is 1:2, or cP/cQ = 1/2.

Specific heat is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius (or one Kelvin). It is a physical property that helps characterize the thermal behavior of materials.

Let's use the formula for heat energy:

Q = mcΔT

where Q is the heat energy supplied, m is the mass of the object, c is the specific heat capacity, and ΔT is the change in temperature.

We can write two equations for P and Q using this formula:

For P: Q = (1/2)mP * cP * 2ΔT

For Q: Q = mQ * cQ * ΔT

We know that both P and Q receive the same amount of heat energy, so we can equate the two equations:

(1/2)mP * cP * 2ΔT = mQ * cQ * ΔT

Simplifying this expression, we get:

cP/cQ = mQ/(2mP)

We are given that P has half the mass of Q, so mP = (1/2)mQ. Substituting this into the expression above, we get:

cP/cQ = mQ/(2(1/2)mQ) = 1/2

Therefore, the ratio of the specific heat capacity of P to Q is 1:2, or cP/cQ = 1/2.

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They represent where phase changes occur.

A 6.47 mm high firefly sits on the axis of, and 12.3 cm in front of, the thin lens A, whose focal length is 5.77 cm, the height of the image is 2.61 mm.

We can use the thin lens equation to find the image distance and then use the magnification equation to find the height of the image.

Let's call the distance between the firefly and lens A "d1", the distance between the lenses "d2", the image distance from lens B "d3", and the height of the firefly "h1".

Using the thin lens equation for lens A:

1/fA = 1/d1 + 1/d3

Since the firefly is very small, we can assume that the rays of light from it are parallel to the axis of the lenses, so d1 = 12.3 cm.

Solving for d3, we get:

1/d3 = 1/fA - 1/d1

1/d3 = 1/5.77 cm - 1/12.3 cm

d3 = -23.46 cm

The negative value for d3 indicates that the image is formed on the same side of lens B as the firefly, which means it is a virtual image.

Now we can use the magnification equation:

m = -d3/d2

where m is the magnification of the image. The negative sign indicates that the image is inverted.

Using the distance between the lenses, d2 = 58.1 cm, we get:

m = -(-23.46 cm) / 58.1 cm

m = 0.403

This tells us that the image is smaller than the firefly, and its height is:

h2 = m * h1

h2 = 0.403 * 6.47 mm

h2 = 2.61 mm

Therefore, the height of the image is 2.61 mm.

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The torque generated by the motor, accelerating with 1.8 m /  Of the elevator is, 18372 Nm.

What is torque?

Torque is the term for the force that rotates an object about any axis. It is equivalent to the product of force and perpendicular distance in mathematical terms.

Given: Radius of pulley (r) = 1.2 meters;

Mass of counterweight (W) = 2700 kg;

Mass of elevator plus passenger (M) = 3100 kg;

Moment of inertia of pulley (I) = 380 kg

To calculate torque:

Now if the rope tension is  then

T₁ = 3100 × (9.8 + 1.8)

T₁ = 35960 N

Now Angular acceleration (α) = a / r

α = 1.8 / 1.2

α = 1.5 rad / sec

If T₂ is the counterweight tension then

T₂ = 2700 × (9.8 - 1.8) N

T₂ = 21600 N

If T is the total torque then

T = 2 × 380 × 1.5 + (35960 - 21600) ×1.2

T = 18372 Nm

Therefore, the total torque that is generated through the given measurement is, 18372 Nm.

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The left hemisphere of the brain is primarily needed in scenario, Solving a complex mathematical problem. Option a is correct.

The brain is divided into two hemispheres, left and right, and they are specialized for different cognitive functions. The left hemisphere of the brain is primarily responsible for language processing, logical reasoning, and analytical thinking. Solving a complex mathematical problem involves logical reasoning, analytical thinking, and the use of language, all of which are primarily controlled by the left hemisphere of the brain.

Mathematical problems often require precise calculations, sequencing of steps, and the use of symbols and formulas, all of which require a strong left-brain function. In contrast, appreciating a work of art, listening to music, and recognizing facial expressions are all more complex perceptual and emotional processes that involve the right hemisphere of the brain. Option a is correct.

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--The complete question is, In which of the following scenarios is the left hemisphere of the brain primarily needed?

a. Solving a complex mathematical problem.

b. Appreciating a work of art

c. Listening to music

d. Recognizing facial expressions.--