What is a force that opposes motion through direct contact?

Answers

Answer 1

The force that opposes motion through direct contact is called friction. It is caused by the interaction and deformation of the roughness in the contacting surfaces.

Friction is the force that opposes the relative motion or tendency of such motion of two surfaces in contact. It is caused by the interaction and deformation of the roughness in the contacting surfaces. It is, therefore, a contact force. When an object is set in motion, it continues to move unless stopped by an external force. There are a number of factors that can alter the velocity of an object that is already in motion. One of the most important factors is friction. Friction is a force that opposes motion through direct contact between two surfaces. This means that when an object is moving along a surface, it experiences a force that tries to slow it down. The amount of friction between two surfaces depends on a number of factors. One of the most important factors is the nature of the surfaces themselves. Rougher surfaces tend to generate more friction than smoother ones. This is because the roughness of the surface creates more contact points between the two surfaces, which in turn generates more friction. Another factor that affects the amount of friction between two surfaces is the amount of force pressing the two surfaces together.

In conclusion, friction is a force that opposes motion through direct contact between two surfaces. It is caused by the interaction and deformation of the roughness in the contacting surfaces. It depends on a number of factors, including the nature of the surfaces themselves and the amount of force pressing the two surfaces together.

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Related Questions

You are an astronomer on planet tirth, which orbits a distant star. it has recently been accepted that tirth is spherical in shape, though no one knows its size. one day, you learn that on the equinox your sun is directly overhead in the city of tyene, located 750 kilometers due north of you. on the equinox, you go outside in alectown and observe that the altitude of your sun is 87.0 ∘.

Answers

Answer:

The circumference of planet tirth is \(C = 90000 \ km\)

Explanation:

From the question we are told that

   The distance of tyene from the observer is  \(d = 750 \ km\)

   The altitude of the sun from the equinox is   \(\theta_s = 87.0^o\)

Generally given that on the equinox your sun is directly overhead in the city of tyene , then the altitude of the tyene from the equinox is  \(\theta_e = 90 ^o\)

Generally the angular distance between tyene and the sun as observed from the equinox is mathematically represented as

         \(\theta _d = \theta_e - \theta_s\)

=>       \(\theta _d = 90 -87\)

=>       \(\theta _d =3^o\)

Generally the ratio of \(\theta _d =3^o\) to  \(360^o\) which is the total angle in a circle is equal to the ratio of  \(d = 750 \ km\) to the circumference of the planet

So

         \(\frac{\theta_d}{360} = \frac{750}{C}\)

=>      \(\frac{3}{360} = \frac{750}{C}\)

=>     \(C = 90000 \ km\)

in a two coil system the mutual inductance depends on

Answers

The mutual inductance (M) in a two-coil system depends on the number of turns in each coil (N₁ and N₂), the permeability of the medium between the coils (µ), and the geometry of the coils.

Mutual inductance is a measure of the ability of one coil to induce an electromotive force (emf) in the other coil when a current changes in one of them. It depends on several factors.

First, the number of turns in each coil plays a role. The greater the number of turns, the stronger the magnetic field produced by the coil, resulting in a higher mutual inductance.

Second, the permeability of the medium between the coils is important. The permeability determines how easily magnetic flux lines pass through the medium. A higher permeability leads to stronger coupling between the coils and, consequently, higher mutual inductance.

Lastly, the physical arrangement and geometry of the coils affect the mutual inductance. The proximity and alignment of the coils influence the amount of magnetic flux linking them, thereby impacting the mutual inductance.

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a train moves from a train station at 30meter per second after 5 seconds its cover the distance of 100 m and the acceleration is ten meters per second square find the speed​

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The speed of a train that moves from a train station at 30 meters per second after 5 seconds and covers a distance of 100 m with an acceleration of ten meters per second square would be 80 m/s.

Speed of a train

We can use the equation of motion to solve for the final velocity of the train:

v = u + at

where:

v = final velocityu = initial velocity = 30 m/sa = acceleration = 10 m/s^2t = time = 5 s

Substituting the values, we get:

v = 30 + 10(5)

v = 80 m/s

Therefore, the speed of the train after 5 seconds is 80 m/s.

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38. How would you dilute a concentrated solution...

Answers

Answer:

Water

Explanation:

A dilution is a solution made by adding more solvent to a more concentrated solution (stock solution), which reduces the concentration of the solute. An example of a dilute solution is tap water, which is mostly water (solvent), with a small amount of dissolved minerals and gasses (solutes).

~Hope this helps

What type of wave motion moves the particles perpendicular to the medium?

Answers

Answer: Transverse waves

Explanation:

Transverse waves cause the medium to move perpendicular to the direction of the wave. Longitudinal waves cause the medium to move parallel to the direction of the wave.

camel have humps why​

Answers

Answer:

camels have humps to store fat which is then converted to energy when food is scarce ( the humps are not used for storing water )

Answer: camels have humps to store fat which is then converted to energy when food is scarce ( the humps are not used for storing water )

For the United States, suppose the annual interest rate on government securities equals 12 percent, while the annual inflation rate equals 8 percent. For Japan, suppose the annual interest rate equals 5 percent. These variables would cause investment funds to flow from

Answers

These variables would cause investment funds to flow from Japan to the United States.

The higher interest rate in the United States (12 percent) compared to Japan (5 percent) makes investing in US government securities more attractive. Investors seeking higher returns would be inclined to move their funds from Japan, where the interest rate is lower, to the United States, where they can earn a higher interest rate on their investments.

Additionally, the higher inflation rate in the United States (8 percent) compared to Japan would further encourage the flow of investment funds from Japan to the United States. Inflation erodes the purchasing power of money, and investors prefer to invest in countries with lower inflation rates to preserve the value of their investments. With a lower inflation rate, the United States appears relatively more stable and attractive for investment compared to Japan.

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Which of the following has the smallest mass? O a. 10.0 mol of F2 O b. 5.50 x 1024 atoms of 12 O c. 3.50 x 1024 molecules of 12 O d. 255. g of Cl2 O e. 0.020 kg of Br2

Answers

The option with the smallest mass is e. 0.020 kg of Br2.Option E

To determine which option has the smallest mass, we need to compare the masses of each given quantity.

a. 10.0 mol of F2:

To find the mass, we can use the molar mass of F2, which is 38.0 g/mol. Therefore, the mass of 10.0 mol of F2 is:

10.0 mol * 38.0 g/mol = 380 g

b. 5.50 x 10^24 atoms of 12O:

To find the mass, we need to know the molar mass of 12O. However, the given molar mass is for F2, not for 12O. Therefore, we cannot determine the mass of this option.

c. 3.50 x 10^24 molecules of 12O:

Similarly, without the molar mass of 12O, we cannot determine the mass of this option.

d. 255 g of Cl2:

Since the molar mass of Cl2 is 70.9 g/mol, the number of moles in 255 g can be calculated as:

255 g / 70.9 g/mol = 3.59 mol

e. 0.020 kg of Br2:

The molar mass of Br2 is 159.8 g/mol. To convert 0.020 kg to grams, we multiply by 1000:

0.020 kg * 1000 g/kg = 20 g

Now we can determine the number of moles:

20 g / 159.8 g/mol ≈ 0.125 mol

Comparing the number of moles, we find that option d (255 g of Cl2) has the largest number of moles, indicating a larger mass compared to the other options. Among the remaining options, option e (0.020 kg of Br2) has the smallest mass. Option e

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three swimmers who all swim at the same speed discuss how to cross a river in the shortest amount of time. swimmer a will swim straight across the river at a right angle to the current. swimmer b reasons that the current will carry a downstream, meaning that a will cover a greater distance to get across and therefore will take a longer time interval. b says he will aim at an upstream angle such that, allowing for the current, he will reach the other side directly across from where he starts, thus covering the shortest distance and arriving first. swimmer c , reasoning that the time interval needed for b to cross will be longer than b expects because some of b 's effort will be spent battling the current, plans to aim at a downstream angle, so that the current assists rather than opposes him. this way he will be traveling at the highest speed and get across first. part a which swimmer gets across first? which swimmer gets across first? swimmer a gets across first. all swimmers get across at the same time. swimmer b gets across first. swimmer c gets across first. request answer provide feedback

Answers

Swimmer C gets across first. The reasoning behind the three swimmers crossing the river is different. Swimmer A swims directly across the river. Swimmer B swims upstream at an angle that allows him to be carried downstream by the current and reach the other side directly across from his starting point.

Swimmer C swims downstream at an angle that allows him to be carried downstream by the current, therefore, making the current work for him. Therefore, Swimmer C gets across first because he is swimming at the highest speed due to the help of the current. Swimmer B will take longer than he expects because some of his efforts will be spent battling the current. Swimmer A will cover the longest distance and will take longer than both Swimmer B and Swimmer C. Hence, Swimmer C is the one who gets across first.

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how do we perceive different wavelengths of light? (hint: frequency is to pitch as wavelength is to )

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Using the visual spectrum, we can distinguish between various light wavelengths.

What is visual spectrum?The region of electromagnetic spectrum which the human eye can see is known as the visible light spectrum. This group of wavelengths is more commonly referred to as visible light. The range of wavelengths that the human eye can typically have seen is 380 to 700 nanometers.The colors of the rainbow are represented by the various visible light wavelengths: red, orange, yellow, green, blue, indigo, and violet. Red light has the greatest wavelengths (around 700 nanometers), whereas violet light has the shortest wavelengths (380 nanometers).The visible wavelengths span a region between 0.4 and 0.7 m. Red has the longest visible wavelength, whereas violet has the shortest. The following table lists the typical wavelengths of the visible spectrum, which correspond to the specific colors we can see.

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which type of thermometer does not have to touch the surface of food to check the temperature accurately?

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An infrared thermometer does not have to touch the surface of food to check the temperature accurately.

What is an infrared thermometer?

Infrared thermometers, can be called laser thermometers, work by measuring the infrared radiation emitted by an object.

Since they don't need to make direct contact with the food, they can provide a temperature reading without potentially contaminating the food.

Whilee Infrared thermometers are often used to measure the temperature of food, but they can also be used to measure the temperature of other objects, such as people, animals, and the environment.

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when a given molecule absorbs a photon of microwave radiation

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When a given molecule absorbs a photon of microwave radiation, its rotational energy state changes.

The absorption of a microwave photon by a molecule causes a change in its rotational energy state. The rotation of a molecule occurs about its center of mass, which is referred to as its rotational energy. When a molecule absorbs microwave radiation, it acquires energy that causes it to transition to a higher rotational energy state.

The absorption of a microwave photon results in an increase in the energy of the molecule, which causes it to spin faster around its axis. In order to make this change, the molecule must first absorb the radiation's energy.

As a result, microwave radiation is often used to investigate molecular structures because it can induce transitions between different rotational energy levels of a molecule.

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The clock on the big ben tower in london reads 12 noon. If you travel away from the clock at a very high speed and view it with a telescope, you would see.

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"The clock on the big ben tower in London reads 12 noon. If you travel away from the clock at a very high speed and view it with a telescope, you would see it run slower than a clock in your vehicle" (Option A) This phenomenon is known as Time Dilation.

What is time dilation?

Time dilation is defined in physics and relativity as the difference in elapsed time as measured by two clocks. It is either owing to a difference in relative velocity or a difference in gravitational potential between their places.

When left undefined, "time dilation" generally refers to the impact of velocity.

Time dilation is the "slowing down" of a clock as determined by an observer in relative motion with regard to that clock under the theory of special relativity.

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Full Question:

Suppose you look at the huge clock on the Big Ben Tower in London and it reads 12 noon. If you could travel away from the clock at the speed of light and view it with a telescope, it would:

a) run slower than usual

b) run faster than usual

c) be frozen at 12 noon

A light bulb is filled with a gas at a
température of 293 K. If the initial pressure
of the gas is P. what will the pressure be
when the temperature increases to 360 K?

Answers

All u do is subtract and divide

what transportation technology has been constructed and with more planned so that oil and natural gas from central asia can be exported?

Answers

The transportation technology constructed and planned for exporting oil and natural gas from Central Asia is pipelines.

The region is rich in oil and natural gas reserves, and its energy resources are in high demand by countries around the world. Several pipelines have already been constructed, including the Caspian Pipeline Consortium pipeline, which transports crude oil from the Caspian Sea to the Russian Black Sea port of Novorossiysk, and the Central Asia-China pipeline, which transports natural gas from Turkmenistan to China. Additionally, there are plans for several other pipelines, such as the Turkmenistan-Afghanistan-Pakistan-India (TAPI) pipeline and the Trans-Caspian Gas Pipeline, which would further expand the transportation of energy resources from Central Asia to other parts of the world.

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TRUE/FALSE. all galaxies beyond those local to the milky way appear to be receding from us.

Answers

True. This is the observation behind the Hubble's Law which states that the farther a galaxy is from us, the faster it appears to be moving away from us. This observation has led to the idea that the universe is expanding.

How much work is done to move a 1,000 N car 20 meters?

Answers

Answer:

The answer is 20,000 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question

force = 1,000 N

distance = 20 m

We have

workdone = 1000 × 20

We have the final answer as

20,000 J

Hope this helps you

Based on what you know about visible wavelength observations in the interstellar medium, select all of the correct statements from the following list.
Most interstellar dust is hydrogen.
Emission nebulae glow from their own energy.
Forbidden lines are so named because they are never seen in the spectra of emission nebulae.
Dark nebulae block out starlight.
Reflection nebulae shine for reasons similar to those that make our sky blue.
Most interstellar gas and dust is concentrated in the plane of our Milky Way Galaxy.

Answers

Based on what I know about visible wavelength observations in the interstellar medium, the correct statements from the list are:
- Dark nebulae block out starlight.
- Reflection nebulae shine for reasons similar to those that make our sky blue.
- Most interstellar gas and dust is concentrated in the plane of our Milky Way Galaxy.

To explain further:
1. Dark nebulae block out starlight because they consist of dense clouds of gas and dust that absorb and scatter the light from background stars.
2. Reflection nebulae shine due to the scattering of light from nearby stars, which is similar to how our sky appears blue due to the scattering of sunlight by Earth's atmosphere.
3. Most interstellar gas and dust is concentrated in the plane of our Milky Way Galaxy, as they are predominantly found in the disk of the galaxy where star formation occurs.

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Q1. Calculate the electric flux through a cylinder that is 10 cm long and 6 mm in diameter, and which is concentric with the two charged objects.

Answers

The electric flux through the cylinder depends on the charge enclosed by it. If the cylinder is concentric with two charged objects, we need to know their charges and positions relative to the cylinder to calculate the flux.

However, we can explain how to calculate the electric flux in general terms. Electric flux is defined as the electric field passing through a surface, and it depends on the electric field and the area of the surface. In this case, the surface is the lateral surface of the cylinder. To calculate the electric flux, we need to first find the electric field at every point on the cylinder's surface. This can be done by applying Coulomb's law or using Gauss's law. Once we have the electric field, we can calculate the electric flux by multiplying it by the area of the surface. If the cylinder encloses a charge, the total electric flux through the cylinder will be proportional to the charge enclosed. If the cylinder does not enclose a charge, the electric flux will be zero.

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A soccer ball with a mass of 0.45 kg is rolling with a momentum of 9 kg*m/s, what is it's velocity?

Answers

Answer:  20 m/s

Explanation:

P = mv

since we're trying to find the velocity, you change the formula to v = P/m

v = ?

P = 9 kgm/s

m = 0.45 kg

v = 9 kgm/s / 0.45kg  = 20 m/s

The temperature of a gas stream is to be measured by a thermocouple whose junction can be approximated as a 1.2-mm-diameter sphere. The properties of the junction are k = 35 W/m °C, rho= 8500 kg/m3 ,and Cp = 320 J/kg °C, and the heat transfer coefficient between the junction and the gas is h = 65 W/m2 °C. Determine how long it will take for the thermocouple to read %95 of the initial temperature difference.

Answers

It will take about 12.12 minutes for the thermocouple to read 95% of the initial temperature difference of the sphere. This is due to difference in temperature.

What is the time required to read 95% of initial temperature difference?

In order to determine how long it will take for the thermocouple to read 95% of the initial temperature difference, the following formula is used:

t = (rho × V × Cp)/(h × pi × D) × ln ((Tinitial - T∞) / (Tinitial - Tcutoff))

where, t = time (s), ρ = density (kg/m³), V = volume (m³), Cp = specific heat capacity (J/kg °C), h = heat transfer coefficient (W/m²°C), D = diameter (m), Tinitial = initial temperature (°C), T∞ = surrounding temperature (°C), Tcutoff = temperature at which the thermocouple reading is 95% of the initial temperature difference (°C).

Substituting the given values into the above formula:

t = (8500 kg/m³ × (4/3 × pi × (0.0006 m)³)) / (65 W/m2 °C × pi × 0.0012 m) × ln ((100 °C - 25 °C) / (100 °C - 95 °C))

t = 727.31 s or 12.12 minutes.

Therefore, it will take approximately 12.12 minutes for the thermocouple to read 95% of the initial temperature difference.

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a simple model can show how pulse oximetry is able to measure the oxygen saturation of blood. the key idea is that the intensity of light decreases exponentially as it travels through an absorbing medium. this can be written i

Answers

n terms of the Beer-Lambert law, which states that the intensity of light (I) is proportional to the amount of light-absorbing material (A) and the distance it travels through the material (d), according to the equation:

I = I0 e^(-αd)

where I0 is the initial intensity of the light, α is the absorption coefficient of the material, and e is the base of the natural logarithm.

In pulse oximetry, a device called a pulse oximeter is placed on a patient's finger or earlobe. The pulse oximeter emits light of two different wavelengths (typically red and infrared) into the tissue, and then measures the amount of light that is transmitted through the tissue and reaches a detector on the other side.

The amount of light absorbed by the tissue depends on the concentration of oxygenated and deoxygenated hemoglobin in the blood. Oxygenated hemoglobin absorbs less light at the red wavelength and more light at the infrared wavelength, while deoxygenated hemoglobin absorbs more light at the red wavelength and less light at the infrared wavelength.

By measuring the difference in absorption between the two wavelengths, the pulse oximeter can calculate the oxygen saturation of the blood, which is the percentage of hemoglobin in the blood that is carrying oxygen.

The pulse oximeter uses the Beer-Lambert law to calculate the amount of light absorbed by the tissue at each wavelength, and then uses a mathematical algorithm to determine the oxygen saturation based on these measurements.

Overall, pulse oximetry is a non-invasive and relatively simple method for monitoring a patient's oxygen saturation in real-time, which is a critical parameter in many medical situations.

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PAGE 29
Q. 1. What is meant by power of accomodation of the eye?​

Answers

This is the process of changing the shape of the eye lens to focus on near or distant objects.

a softball of mass 0.220 kg that is moving with a speed of 4.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. afterward the incoming softball bounces backward with a speed of 2.0 m/s. calculate the velocity of the target ball after the collision.

Answers

The velocity of the target ball after the collision will be 1.32 / m².

Velocity of the target ball after the collision = (m1u1 + m2u2) / (m1 + m2)

Here, m1 = mass of the incoming softball = 0.220 kgm² = mass of the target ball = ?

u1 = initial velocity of the incoming softball = 4.0 m/su2 = initial velocity of the target ball = 0 m/sv1 = final velocity of the incoming softball = -2.0 m/s (because the incoming softball is bouncing backward)

v2 = final velocity of the target ball = ?

Substituting the given values in the above formula, we get:

v2 = (m1u1 + m2u2 - m1v1) / m2v2 = (0.220 x 4.0 + 0 x 0 - 0.220 x (-2.0)) / m2v2 = (0.880 + 0.440) / m2v2 = 1.32 / m²

Therefore, the velocity of the target ball after the collision is 1.32 / m².

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Pls help, I have a test on this, with explanation.

Pls help, I have a test on this, with explanation.

Answers

Answer:

the answer is B

Explanation:

we assume that all of these springs have tha same k , the spring constant

elastic energy for the initial system = Ep1=  \(\frac{kd^{2} }{2}\)

for the new changed system , the spring constant = k1+k2 = k+k = 2k  , but the displacement is also reduced to 0.5 d

so Ep2 = \(\frac{2k(0.5d)^{2} }{2} = \frac{kd^2}{4}\)

so the new total Ep stored in the new system is 1/2Ep

hope it helps

The engine of the car develops a driving force of 4000N. Air resistance also acts on the car, with a force of R. If the car has a mass of 1000kg, and is accelerating at 1.5m/s^2, calculate the magnitude of R.

Answers

Answer:

R = -2500N

Explanation:

Use formula ΣF = Ma. We can split the Net Force into two parts: Fe - Ff  =  Ma.

Fe is the force developed by the engine: 4000N

Ff (R) is the air resistance projected on the vehicle. This is the value we're looking for.

Mass: 1000kg

Acceleration: 1.5m/s^2

Next, just plug in the values and solve.

▪4000N - Ff  =  (1000kg)(1.5m/s^2)

▪Ff = 1500N - 4000N

▪Ff = -2500N

R = -2500N.

The air resistance acting on the car is R = -2500N.

A motorist is speeding along at 33m/s when he sees a squirrel on the road 200 meters in
front of him. He tries to stop, but it takes 12 seconds for his car to stop
(a) What is the acceleration of the car? (assume acceleration was constant)
(b) Does the squirrel survive?
(c) How fast was the car moving at 100 meters?​

Answers

a) the acceleration of the car = -2.75 m/s

b) d = 198 meters. Therefore, the squirrel would survive.

c) the car moving at 100 meters with a speed of 23.22m/s

What is acceleration ?

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Use the kinematic equation to solve for the acceleration:

v = u +at

v = final velocity

u = initial velocity

a = acceleration

t = time

In this instance, the final velocity is 0 because he comes to a stop. We can solve for the acceleration by plugging in the given values:

0 = 33 + (12)a

0 = 33 + 12a

-33 = 12a

-33 / 12 = a  --> a = -2.75 m/s²

b) Find the amount of distance necessary to stop. Use the formula:

v^2 = u^2 + 2ad

d = distance

Plug in the values:

0² = 33² + 2(-2.75 · d)

0 = 1089 - 5.5d

-1089 = -5.5d

d = 198 meters. Therefore, the squirrel would survive.

c)

Find the velocity at 100 meters by using the same formula as before:

v^2 = u^2 + 2ad

However, in this instance, we are solving for the final velocity. Plug in the given points to solve:

vf² = 33² + 2(-2.75 · 100)

vf² = 1089 + (-550)

vf² = 539

vf = √539

vf ≈ 23.22 m/s.

the car moving at 100 meters with a speed of 23.22m/s

a) the acceleration of the car = -2.75 m/s

b) d = 198 meters. Therefore, the squirrel would survive.

c) the car moving at 100 meters with a speed of 23.22m/s

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pls help guys this is my 7th time posting XD​

pls help guys this is my 7th time posting XD

Answers

Answer:

Explanation:

initial velocity u = 54 km/h = 15 m/s

final velocity v = 18 km/h = 5 m/s

distance s = 10 m

1. v^2 = u^2 + 2as

5^2 = 15^2 + 2a × 10

25 = 225 + 20a

25 - 225 = 20a

20 a = -200

a = -200/2

a = -100m/s^2

∴Deacceleration = -100m/s^2

2. v = u + at

5 = 15 -100t

5-15 = -100t

-10 = -100t

t = 100 / 10

∴t = 10 sec

Total distance covered by the car 10 m

To me, the hardest part of this whole thing is keeping the units straight.  We're starting out with information given to us in kilometers, hours, and meters, and we have to come up with answers in m/s² , seconds, and meters.

When I worked this problem, I jumped right in without thinking, and I immediately got bogged down when I had to go off to the side and convert some units.

Now I know better.  THIS time, before we get all tangled up trying to solve anything, let's get clever and change everything to m/s right now !

(54 km/hour) · (1,000m/km) · (1 hour/3600 sec)  =  15 meters/second

(18 km/hour) · (1,000 m/km) · (1 hour/3600 sec) = 5 meters/second

NOW I'll betcha it's gonna be about 70% faster and easier !

i). Acceleration = (change in speed / time for the change)

We know the distance, but not the time.  I know there's a formula for it, but I've learned so many formulas during my lifetime that I can't remember ALL of them.  So I just memorize some of them, and I work things out from the formulas that I know.  Here's how I do time:)

Average speed during the given slow-down = (1/2)·(15+5) = 10 m/s

Distance covered during the given slow-down = 10 m.

Time = (distance) / (average speed) = (10m) / (10 m/s) = 1 second

Acceleration = (change in speed) / (time for the change)

Acceleration = (5 m/s - 15 m/s) / (1 second)

Acceleration = (-10 m/s) / (1 second)

Acceleration = -10 m/s²   (or 'Deceleration' = 10 m/s² )

_____________________________________________

For parts ii). and iii)., there's a big shift in the question.

It only gave you the slow-down from 54 to 18 km/hr for the purpose of calculating the deceleration.  NOW, for the rest of the answers, it's talking about a complete stop ... 0 m/s .

____________________________________________

ii). Time required to stop = (initial speed) / (deceleration)

Time to stop from 54 km/hr = (15 m/s) / (10 m/s²)

Time to stop = 1.5 seconds

iii).  Distance covered = (average speed) · (time to stop)

Distance covered = (7.5 m/s) · (1.5 sec)

Distance covered = 11.25 meters

OR ... use the official formula:

Distance = (1/2) · (acceleration) · (time² )

Distance = (1/2) · (10 m/s²) · (1.5 sec)²

Distance = 11.25 meters           yay !

According to the conservation of angular momentum, if an ice-skater starts spinning with her arms out wide, then slowly pulls them close to her body, this will cause her to: ____________

Answers

According to the conservation of angular momentum, if an ice-skater starts spinning with her arms out wide, and then slowly pulls them close to her body, this will cause her to spin faster. The conservation of angular momentum states that the total angular momentum of a system remains constant as long as no external torque acts on it. This means that if a spinning object pulls its arms closer to its body, its rotational speed will increase.

This is because the moment of inertia of the system is reduced as the mass is brought closer to the axis of rotation. Since the angular momentum of the system must remain constant, an increase in rotational speed must occur to compensate for the decrease in moment of inertia. The principle of conservation of angular momentum can be observed in many physical systems, such as figure skating, where an ice skater spinning with her arms extended can increase her rotational speed by pulling her arms closer to her body. This is because the total angular momentum of the skater is conserved, and the decrease in moment of inertia is compensated by an increase in rotational speed.

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PLEASE HELPPP
Force: Adding vectors (find resultant force)
50N north plus 50N west Plus 50N north west

Answers

To find the resultant force of the vectors 50N north, 50N west, and 50N northwest, we can use vector addition.
One way to do this is to draw a diagram of the vectors and use the head-to-tail method to find the resultant vector. We can start by drawing the vector 50N north, then draw the vector 50N west starting from the end of the first vector, and finally draw the vector 50N northwest starting from the end of the second vector and ending at the tip of the resultant vector. The resultant vector is the vector that starts at the beginning of the first vector and ends at the tip of the last vector.
Alternatively, we can use trigonometry to find the magnitude and direction of the resultant vector. We can break down each vector into its x and y components, then add up the x components and the y components separately to get the x and y components of the resultant vector. The magnitude of the resultant vector is then given by the square root of the sum of the squares of the x and y components, and the direction is given by the arctangent of the y component divided by the x component.
Using either method, we can find that the magnitude of the resultant force is approximately 70.7N, and the direction is approximately 45 degrees north of west
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