how friction oppse motion ​

Answers

Answer 1

Answer:

setting a stationary body in motion.

Explanation:

like a stationary car will start moving when driving force is applied


Related Questions

A boy is looking into a plane mirror .His nose is 30 cm in front of the mirror .How far is his nose from where its image appears to be ?

Answers

Answer:

60cm

Explanation:

30+30=60

A position vector in the first quadrant has an x component of 3 m and a magnitude of 13 m. What is the value of its y component?

Answers

To find the value of the y-component of a position vector in the first quadrant with an x-component of 3 m and a magnitude of 13 m, we can use the Pythagorean theorem.

The position vector has components (x, y) and a magnitude (||v||) which is the length of the vector. In this case, x = 3 m and ||v|| = 13 m.

The Pythagorean theorem states that for a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the magnitude of the position vector, and the two sides are the x and y components. Therefore:

||v||² = x² + y²

Substitute the given values:

(13 m)²  = (3 m)²  + y²

169 m²  = 9 m² + y²

Now, solve for y² :

y²  = 169 m²  - 9 m²  = 160 m²

Take the square root of both sides to find y:

y = sqrt(160 m² ) = 4√10 m ≈ 12.65 m

So, the value of the y-component of the position vector is approximately 12.65 m.  

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While an elevator of mass 892 kg moves downward, the tension in the supporting cable is a constant 7730 N. Between 0 and 400 the elevator's displacement is 500 m downward. What is the elevator's speed at t-4.00 S?

Answers

The speed of the elevator at t = 4.00 s is 39.24 m/s downwards. We can take the absolute value of the speed to get the magnitude of the velocity. The absolute value of -39.24 is 39.24. Therefore, the elevator's speed at t = 4.00 s is 78.4 m/s downwards.

Mass of elevator, m = 892 kg

Tension in the cable, T = 7730 N

Displacement of elevator, x = 500 m

Speed of elevator, v = ?

Time, t = 4.00 s

Acceleration due to gravity, g = 9.81 m/s²

The elevator's speed at t = 4.00 s is 78.4 m/s downwards.

To solve this problem, we will use the following formula:v = u + gt

Where, v is the final velocity, u is the initial velocity, g is the acceleration due to gravity, and t is the time taken.

The initial velocity of the elevator is zero as it is starting from rest. Now, we need to find the final velocity of the elevator using the above formula. As the elevator is moving downwards, we can take the acceleration due to gravity as negative. Hence, the formula becomes:

v = 0 + gt

Putting the values in the formula:

v = 0 + (-9.81) × 4.00v = -39.24 m/s

So, the velocity of the elevator at t = 4.00 s is 39.24 m/s downwards. But the velocity is in negative, which means the elevator is moving downwards.

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During a typical afternoon thunderstorm of the summer and the area of 96 km² receives 1.09×10^9 gal of rain in 18 min. How many inches of rain fell during the 18 minute period?

Answers

I thought I'd give a quick review of the most extreme short-term rainfalls in the United States' history as a follow-up to my last blog. During the storm and flood on May 31, Wiley Post Airport in Oklahoma City picked up 3.10" in an hour and 2.00" in 35 minutes.

What is the Most Rain to Ever Fall in One Minute or One Hour?It is difficult to comprehend how one might make an accurate measurement of precipitation over a 60-second timeframe. But the Unionville, Maryland report of 1.23" in one minute on July 4, 1956 was found to be true after the U.S. Weather Bureau conducted numerous in-depth analyses of the claim (see for the Monthly Weather Review summary). a rainfall gauge that records: To perform the measurement, a Friez Universal Type with a 12-inch capacity, a dual traverse pen, and a 24-hour clock gear on a chart drum was employed. It measured a storm total of 3.60" between 2:50 p.m. and 11:30 p.m., with 2.84" of that total falling in a 50-minute span between 2:50 and 3:40 p.m. The exposure was good, and the storm total was 3.60" overall. It was between 3:22 and 3:23 p.m. when the apparent 1.23" total was taken. To establish the gauge's accuracy and calibration, a variety of tests were performed on it. All of the tests that were run on the gauge found it to be reliable. The record's certification included consideration of anecdotal data as well. Residents were obliged to switch on lights even though it was mid-afternoon due to the extreme flash flooding and erosion that were observed in the immediate vicinity. Water reportedly flowed off roofs "like Niagara Falls" due to overflowing roof gutters.

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Can you have curly hair even though your hair is short and soft? (Women)

Answers

It depends on the genetics. Having curly hair doesn’t have anything to do with hair length or texture.

compared to the mass and charge of a proton, the electron has
a. the same charge and the same mass
b. the opposite charge and smaller mass
c. the opposite charge and the same mass
d. the same charge and a smaller mass

Answers

b. opposite charge and smaller mass

Compared to the mass and charge of a proton, the electron has the opposite charge and smaller mass. Thus, the correct option is B.

What are electrons?

An electron is a negatively charged subatomic particle which can be either bound to an atom or in free state that is it is not bound. An electron  which is bound to an atom is one of the three primary types of particles which are present within the atom and the other two are protons which are positively charged and neutrons, which are neutral. Together, the three particles that is the electrons, protons and neutrons form an atom's nucleus.

Electron is discovered by J.J. Thomson in the year 1897. The electric charge on an electron is −1.602176634 × 10⁻¹⁹ C. The symbol used to denote electron are e− and β−. Electrons belong to the family lepton. Electron has a mass of about 9.1093837015 × 10⁻³¹ kg.

Therefore, the correct option is B.

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Weight and mass are different because,

Weight and mass are different because,

Answers

Answer:

Explanation:

The answer is [C]

Which sentence best explains the relationship between cells, tissues. And organs in the human body

Which sentence best explains the relationship between cells, tissues. And organs in the human body

Answers

Organ function is related to cell size which determines the function of tissues explains the relationship between cells, tissues and organs in the human body

Define a cell.

The smallest structural and operational unit of an organism is a cell. Although it is often tiny, macroscopic cells can also exist. Your body's basic building blocks are these cells, which are present in many different forms.

A tissue is made up of a collection of comparable cells and the connective tissue that binds them together to serve a common purpose. An organ is a collection of tissues found in an organism that cooperate to carry out a specific task. The lungs, kidneys, and stomach are a few examples. The bronchi, bronchioles, and alveoli all work together to assist the lungs exchange oxygen and carbon dioxide from the blood.

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I need help with this question and please show the whole work
and do it asap
If a star displays \( 0.0190 \) arcseconds of parallax, then long would it take to travel to that star if traveling at half the speed of light?

Answers

The first step is to convert the parallax angle of the star to distance. We can use the formula: parallax angle in arc seconds = (distance to star in parsecs)^-1 We can rearrange this equation to isolate distance: d = (parallax angle)^-1 Therefore, the distance to the star in parsecs is:

d = (0.0190 arcseconds)^-1 = 52.6 parsecs Next, we need to find the actual distance in meters. One parsec is equivalent to 3.09 × 10^16 meters. Therefore, the distance to the star in meters is: distance = (52.6 parsecs)(3.09 × 10^16 meters/parsec) = 1.63 × 10^18 meters Now, we can use the formula for time: d = vt Solving for time: t = d/v We are told to travel at half the speed of light, which is v = 0.5c, where c is the speed of light.

Therefore, the time to travel to the star is: t = (1.63 × 10^18 meters)/(0.5c) Using the speed of light, c = 3.00 × 10^8 m/s, we get: t = (1.63 × 10^18 meters)/(0.5 × 3.00 × 10^8 m/s)t ≈ 10.9 years Therefore, it would take about 10.9 years to travel to the star if traveling at half the speed of light.

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A sound wave is produced when a medium begins to .

Answers

A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.

What is a sound wave?

When an object vibrates, a pressure wave is created, which produces sound. The particles in the surrounding medium (air, water, or solid) vibrate as a result of the pressure wave.

The vibrations of the particles move nearby particles, allowing the sound to travel further through the medium.

Hence a sound wave is produced when a medium begins to vibrate.

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Answer:

vibrate

Explanation: slaaauyy

Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to form a charge of –3.90 nC? (b) How many electrons must be removed from a neutral object to leave a net charge of 0.490 PC?

Answers

(a) Approximately 2.434 x 10^16 electrons are needed to form a charge of -3.90 nC.

To calculate the number of electrons required, we divide the total charge (-3.90 nC) by the charge of a single electron. The charge of a single electron is approximately -1.602 x 10^(-19) C. Dividing the total charge by the charge of a single electron gives us the number of electrons needed.

(b) Approximately 3.055 x 10^19 electrons must be removed from a neutral object to leave a net charge of 0.490 PC.

To determine the number of electrons to be removed, we divide the total charge (0.490 PC) by the charge of a single electron (-1.602 x 10^(-19) C). Since the net charge is positive, we use the magnitude of the charge. Dividing the total charge by the charge of a single electron gives us the number of electrons to be removed.

These calculations provide an estimation of the number of electrons required to form a specific charge or the number of electrons to be removed to achieve a particular net charge.

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Optimization With Calculus: Exercise >If TC = 36,000 + 200Q + 0.4Q², find ➤ (1) Q at which AC is optimized! > (2) Determine whether this is achieved at a minimum or a maximum AC!

Answers

AC is at a minimum at Q = 300.

To find the optimized value of Q, we have to find the derivative of AC with respect to Q and equate it to zero.So, differentiate the AC equation with respect to

Q.d(AC)/d(Q) = -36000/Q² + 0.4= 0

Thus, -36000/Q² + 0.4 = 0

Solving the above equation for Q, we get

Q² = 36000/0.4Q² = 90000Q = 300 (∵ Q must be positive)

Therefore, the value of Q at which AC is optimized is Q = 300.

Now, we need to check whether it is a minimum or a maximum.

To do that, we need to find the second derivative of AC with respect to

Q.d²(AC)/d(Q²) = 72000/Q³

Thus, d²(AC)/d(Q²) > 0 (∵ Q is positive)

Therefore, AC is at a minimum at Q = 300.

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light of wavelength 3.19 mm strikes and is absorbed by a molecule. is this process most likely to alter the rotational, vibrational, or atomic energy levels of the molecule?

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light of wavelength 3.19 mm strikes and is absorbed by a molecule this will alter the atomic energy of the molecule.

Rotational strength: kinetic strength related to the rotational movement of molecules. Vibrational strength: the oscillatory movement of atoms or agencies of atoms inside a molecule (capacity strength ↔ kinetic strength exchange).

Electronic strength: strength saved as capacity strength in excited digital configurations .A molecular vibration is worked up whilst the molecule absorbs strength, ΔE, similar to the vibration's frequency, ν, in line with the relation ΔE = hν, wherein h is Planck's constant. A essential vibration is evoked whilst one such quantum of strength is absorbed through the molecule in its floor state.

The first strength degree is likewise referred to as degree 'K'. The 2d degree is referred to as degree L, 1/3 strength degree as M, and so on. Electrons withinside the outermost strength degree also are referred to as Valence electrons. Various residences of atoms are primarily based totally on those valence electrons.

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Temperature is a measure of the average
________________
energy of particles in a substance.
kinetic
Temperature and kinetic energy have a
__________
relationship.
direct
Kelvin, Celsius, and Fahrenheit are three types of
______________
scales.
temperature
What are the units for measuring specific heat?
joules per gram degree Celsius
Which best compares kinetic energy and temperature?
Kinetic energy is energy of motion, while temperature is a measure of that energy in substances.

Answers

Temperature is a measure of the average kinetic energy  energy of particles in a substance.

Temperature and kinetic energy have a directly proportional relationship.

Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.

The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.

The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.

The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.

Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.

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Temperature is a measure of the average kinetic energy  energy of particles in a substance.

Temperature and kinetic energy have a directly proportional relationship.

Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.

The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.

The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.

The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.

Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.

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how is the thermal efficiency of a heat engine defined?

Answers

By the gravity of the earth it is defined by the thermal efficiency

A spacecraft orbiting a planet at an altitude of 120 km releases a satellite that falls towards the surface. The planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km. What is the acceleration of the satellite?

Answers

Answer:

Consider a satellite with mass Msat orbiting a central body with a mass of mass MCentral. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the net centripetal force acting upon this orbiting satellite is given by the relationship

Fnet = ( Msat • v2 ) / R

Explanation:

The acceleration of the satellite released from a spacecraft orbiting a planet at an altitude of 120 km and the planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km is 4.426 *  \(10^6\)  \(m/s^2\).

What is acceleration?

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. A vector quantity, acceleration, is something that has both a magnitude and a direction. Velocity is a vector quantity as well.

Given:

The altitude of the spacecraft, h = 120 km,

The mass of the planet, m = \(5.2 * 10^{23}\) kg,

The radius of the planet, r = 2800 km.

Calculate the acceleration by the formula given below,

A = \(G* m /r^2\)

Here, A is the acceleration, G is the gravitational constant,

Substitute the values,

A = 6.674 * \(10^{-11}\) *5.2 * \(10^{23}\) / \(2800^2\)

A = 4.426 *  \(10^6\)  \(m/s^2\)

Therefore, the acceleration of the satellite is 4.426 *  \(10^6\)  \(m/s^2\)

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What is conduction in energy transfer?

Answers

Conduction is the transfer of heat energy between two objects or substances that are in contact with each other, due to a temperature difference between them.

Conduction is the transfer of heat or electrical energy through a material or substance, without any visible movement of the substance itself. It occurs in solids, liquids, and gases, but is most efficient in solids, where the molecules are tightly packed and can easily transfer energy from one to the other. In conductive materials, heat or electrical energy is transferred by the flow of electrons, atoms, or molecules from a region of higher energy to a region of lower energy.

The rate of conduction depends on several factors, including the temperature difference between the two regions, the physical properties of the material, and the distance between the two regions. Conduction is an important process in everyday life, and understanding its principles is crucial in many fields, including engineering, physics, and materials science.

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if a car travels 90km/h for 15 minutes it will travel a. bc x 10^d what are the values of a, b, c and d

Answers

Here, Speed = 90 Km/hTime = 15 minutes.Therefore, distance = speed × time= 90 Km/h × 15 min\( =( 90 \times \frac{1}{3600} \times 15 \times 60 \times 1000)m \\ = (90 \times \frac{1}{3600} \times 900 \times 1000)m \\ = (90 \times \frac{1}{3600} \times 900 \times {10}^{3} )m\)Here, we have multiplied 1/3600 because we have to convert hour to seconds. We have also multiplied 60 because we have to convert minutes to seconds. Also, we have multiplied 1000 as to convert kilometres to metres.So, the values of\(a = 90 \\ b = \frac{1}{3600} \\ c = 900 \\ d = 3\) Answers:a = 90b = 1/3600c = 900d = 3

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A very narrow beam of white light is incident at 41.00 degrees onto the top surface of a rectangular block of flint glass 13.5cm thick. The indices of refraction of the glass for red and violet light are 1.638 and 1.668, respectively.Calculate the dispersion angle (i.e., the difference between the directions of red and violet light within the glass block).2. How wide is the beam when it reaches the bottom of the block, as measured along the bottom surface of the block?3. When the rainbow-colored beam emerges from the bottom of the block, the exiting rays of light are once

Answers

1.  The dispersion angle can be calculated as follows:

The angle of refraction for red and violet light using Snell's Law. For red light:

sin(41.00°)/1.638 = sin(θ)/1, where θ is the angle of refraction.

Solving for θ, we get θ = 24.42°.

Similarly, for violet light:

sin(41.00°)/1.668 = sin(θ)/1,

solving for θ, we get θ = 24.07°.

The dispersion angle is then the difference between these two angles:

Δθ = θ_violet - θ_red = 24.07° - 24.42° = -0.35°.

Therefore, the dispersion angle is -0.35°.

2. Let w be the width of the beam at the bottom of the block, as measured along the bottom surface. Then, for red light:

sin(24.42°)/1 = sin(θ)/1.638,

solving for θ, we get θ = 16.68°.

Using the same approach for violet light, we get θ = 16.48°.

The width of the beam at the bottom of the block is then:

w = 13.5 cm × tan(16.68°) + 13.5 cm × tan(16.48°) = 6.69 cm.

Therefore, the width of the beam at the bottom of the block is approximately 6.69 cm.

3.  When the rainbow-colored beam emerges from the bottom of the block, the exiting rays of light are once again refracted at the air-glass interface, and they spread out further due to the dispersion of the glass.

Dispersion refers to the phenomenon of a wave or radiation being separated into its component frequencies as it passes through a medium. This occurs because different frequencies of the wave travel at different speeds through the medium, causing them to spread out and separate.

One common example of dispersion is the separation of white light into its constituent colors when it passes through a prism. The different colors of light are refracted differently, causing them to separate into a rainbow-like spectrum. Dispersion is also an important phenomenon in the study of materials, particularly in optics and acoustics. In materials, dispersion can result in the absorption or reflection of certain frequencies, affecting the overall properties of the material.

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which car has a westward acceleration? a. a car moving west at constant speed. b. a car moving east and speeding up. c. a car moving east and slowing down. d. a car moving west and slowing down

Answers

C. If a car has a westward acceleration, the car moving east and slowing down.

What is westward acceleration?

Westward acceleration is the acceleration of an object directed towards the west of the object's motion.

The acceleration of an object is defined as the change in the velocity of an object with time.

Mathematically, the acceleration of an object is given as;

a = Δv/Δt

where;

Δv is change in velocity of the objectΔt is change in time of motion of the object

a = (v - u) /t

where;

v is the final velocityu is the initial velocity

When the car is slowing down, it implies that the final velocity is smaller compared to the initial velocity.

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Which is NOT something that all green plants have in common?
1.They make their own food.
2. They reproduce.
3 .They grow.
4 .They produce flowers.

Answers

Answer:

4

Explanation:

Not all plants can grow flowers. Only the ones thay have buds can.

Not all plants produce flowers. Hence, this is the characteristic which is not common in all plants.Therefore, the correct option is 4.

What are flowers?

Flowers are the structures of plants. They are responsible for producing seeds that will grow into new plants. Flowers typically consist of a colorful or ornamental part called the corolla, which attracts pollinators such as bees and butterflies, and a reproductive part called the stamen and pistil, which contain the plant's male and female organs.

Not all green plants produce flowers. Flowering plants are a type of plant that belong to the group Angiosperms, but there are also non-flowering plants like ferns and mosses that do not produce flowers. Therefore, the correct option is 4.

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If you drop a 4 cubic-centimeter block into a graduated cylinder that is half full of water, how much will the water level rise?

Answers

You needa
Decide 4
With 2
4/2

7/21/22, 7:37 AMProblem Set ThreeNotes: Use 9.8 m/s 2 for the acceleration due to gravity. Formust be expressed in m/sLaw calculations, mass must be expressed in kg and velocity.An automobile weighs 2000lb. Calculate the weight of the car in N and it’s mass in kg.

Answers

Given:

The mass of the automobile is

\(m=2000\text{ lb}\)

To find:

The weight of the car in N and its mass in kg

Explanation:

We know,

\(1\text{ lb=0.454 kg}\)

So, the mass of the automobile is

\(\begin{gathered} m=2000\times0.454 \\ =908\text{ kg} \end{gathered}\)

HELPPPPPPPO
In the diagram, q1 = +6.60*10^-9 C and
q2 = +3.10*10^-9 C. Find the magnitude
of the total electric field at point P.

Answers

Explanation:

is this the full question?

Answer:

1258.46

Explanation:

Acellus

How are velocity and force similar?

Answers

Answer: Force

In physical science, a force is something that acts on an object by pushing or pulling it. If the force is strong enough, it changes the position or shape of the object. Forces such as friction, air resistance and simple physical contact touch the object directly, while forces like gravity, magnetism and electrostatics act on the object from a distance. Force is a vector quantity, meaning you can measure both its strength and its direction. The formula to find the measure of a force is force = mass times acceleration, written as f = ma.

Velocity

The faster something is moving, the higher its velocity.

When an object is moving, one way to measure how fast it is moving is by finding its velocity, which is the rate at which it is changing position. Like force, velocity is a vector quantity, so it includes direction. To find the average velocity of an object, divide the change in its position by the time the movement took, and state its direction. For example, if a car is driving north and in one hour's time it travels 30 miles, its velocity is 30 miles per hour, north.

\_:Peepato1234:_/

Why do you think there are so few naturally occurring liquids

Answers

First, a great number of solids are ionic and metallic substances. Those show a really strong bonding mechanism between elementar particles.

And second, to get your theory to work, you have to take into account the size of molecules. To evaporate or melt anything, you have to break or at least disturb all the bonds each molecule has to its surroundings.

For something as small as H2O, not even hydrogen bonding is strong enough to make it solid. A large molecule like Polyethylene, on the other hand, is only held by weak London forces, but has melting points as high as 145°C, and cannot be evaporated

What is the atomic mass of fluorine rounded to the nearest whole number?

Answers

Answer:

195

Explanation:

BRAINLIEST WILL BE GIVEN

BRAINLIEST WILL BE GIVEN

Answers

Answer:

Mac’s Speed = 2.5 m/s

Tosh’s Speed = 4 m/s

Tosh moves 1.5 m/s faster than Mac.

Explanation:

Tosh starts from an initial position of 12m and in a span of 3 seconds, (1.00 seconds to 4.00 seconds) he moves 12 meters.

So his speed is distance / time

s = 12 / 3

s = 4 m/s

Mac starts from an initial position of 2m and in a span of 4 seconds, he traveled 10m (2.00m to 12.00m).

Speed = Distance / time

s = 10 / 4

s = 2.5 m/s

two spheres are rolling without slipping on a horizontal floor. they are made of different materials, but each has mass 5.00 kg and radius 0.120 m . for each the translational speed of the center of mass is 4.00 m/s . sphere a is a uniform solid sphere and sphere b is a thin-walled, hollow sphere.for which sphere is a greater magnitude of work required? (the spheres continue to roll without slipping as they slow down.)

Answers

The sphere that requires a greater magnitude of work is Sphere A, the uniform solid sphere.

The Kinetic energy of the rolling sphere can be expressed as:

\(KE = (1/2)mv^2 + (1/2)I\omega^2\)

where m is the mass of the sphere, 'v' is the velocity of the center of mass, I is the moment of Inertia of the sphere and \(\omega\) is the angular velocity of the sphere.

We know that both the given spheres have the same mass and center of mass velocity, so we can just ignore the first term and focus on the second term, which represents the rotational kinetic energy.

The moment of inertia of a solid sphere is:

\(I_a= (2/5) mr^2\)

where r is the radius of the sphere.

The moment of inertia of the hollow sphere is:

\(I_b = (2/3)mr^2\)

Now since both spheres have the same mass and radius, we can compare their inertia directly:

\(I_a = (2/5)mr^2 = (2/5)(5.00 kg)(0.120 m)^2 = 0.144 kg m^2\\I_b = (2/3)mr^2 = (2/3)(5.00 kg)(0.120 m)^2 = 0.192 kg m^2\)

Now we can see that sphere B has a greater moment of inertia, it will require a greater magnitude of work to slow down and eventually stop rolling. Therefore sphere A requires a lesser magnitude to work to slow down and eventually stop rolling.

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What is the period of small angle oscillations of a simple pendulum with a mass of 0.6 kg at the end of a string of length 4 m

Answers

The period of small angle oscillations for a simple pendulum with a 0.6 kg mass at the end of a 4-meter string is approximately 4.02 seconds.

The period of small angle oscillations of a simple pendulum can be found using the formula:

T = 2π√(L/g)

Where T is the period, L is the length of the string, and g is the acceleration due to gravity (approximately 9.81 m/s²).

In this case, the mass of the pendulum (0.6 kg) does not affect the period, as the formula only depends on the length of the string and the acceleration due to gravity. Given the length of the string (L) is 4 meters, we can calculate the period as follows:

T = 2π√(4/9.81)

T ≈ 2π√(0.408)

T ≈ 2π(0.639)

T ≈ 4.02 seconds

So, the period of small angle oscillations for a simple pendulum with a 0.6 kg mass at the end of a 4-meter string is approximately 4.02 seconds. This result is valid when the oscillations are small, as the formula assumes that the angle of displacement is close to zero, leading to more accurate results in such cases.

For more about oscillations:

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