suppose that v1x and v2x have equal magnitudes. also, v1→ is directed to the right and v2→ is directed to the left. the velocity of the center of mass is then:

Answers

Answer 1

The velocity of the center of mass is zero, indicating that the center of mass is at rest.

If v1x and v2x have equal magnitudes but opposite directions, then their vector sum is zero:

v1x + v2x = 0

This means that the net momentum in the x-direction is also zero, since momentum is defined as mass times velocity:

p = mv

p1x + p2x = m1v1x + m2v2x = 0

where m1 and m2 are the masses of the two objects.

Since the total momentum in the x-direction is zero, the velocity of the center of mass is also zero:

vcm = (m1v1 + m2v2) / (m1 + m2)

Since v1x and v2x have equal magnitudes but opposite directions, their contributions to the x-component of the velocity of the center of mass cancel out:

vcm,x = (m1v1x + m2v2x) / (m1 + m2) = 0

Therefore, the velocity of the center of mass is zero, indicating that the center of mass is at rest.

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Related Questions

Drift velocity (v) of the charge carriers is given by the equation...

Answers

The drift velocity (v) of charge carriers in a conductor is given by the following equation: v = I / (n \(\times\) A \(\times\) q).

v = I / (n \(\times\) A \(\times\) q)

where:

v is the drift velocity, measured in meters per second (m/s)

I is the current flowing through the conductor, measured in amperes (A)

n is the number of charge carriers per unit volume of the conductor, measured in per cubic meter (\(m^(-3)\))

A is the cross-sectional area of the conductor, measured in square meters (m^2)

q is the charge of a single carrier, such as an electron, measured in coulombs (C)

This equation relates the drift velocity of the charge carriers to the current flowing through the conductor, the number of charge carriers per unit volume, the cross-sectional area of the conductor, and the charge of a single carrier. The drift velocity represents the average velocity of the charge carriers as they move through the conductor in response to an applied electric field.

The number of charge carriers per unit volume (n) depends on the material of the conductor and the temperature. In metals, the charge carriers are typically electrons, and the number density is on the order of 10^28 to 10^29 electrons per cubic meter.

The cross-sectional area (A) of the conductor is the area of the cross-section of the conductor perpendicular to the direction of the current flow, and is a measure of the amount of material available for the charge carriers to move through.

The charge of a single carrier (q) is typically the charge of an electron, which is approximately 1.6 x \(10^{-19\) coulombs.

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Objects A and B are both positively charged. Both have a mass of 550 g , but A has twice the charge of B. When A and B are placed 60 cm apart, B experiences an electric force of 0.39 N .
a. How large is the force on A? N
b. What are the charges on qA and qB?
c. If the objects are released, what is the initial acceleration of A? (m/s^2)

Answers

a. The force on object A can be determined using Coulomb's law, which states that the force between two charged objects is proportional to the product of their charges and inversely proportional to the square of the distance between them. Since object B experiences a force of 0.39 N, the force on object A would be the same, as the forces are equal in magnitude and opposite in direction. Therefore, the force on object A is also 0.39 N.

b. We know that object A has twice the charge of object B. Let's denote the charge on object B as qB. Since object A has twice the charge, the charge on object A would be 2qB.

c. The initial acceleration of object A can be calculated using Newton's second law, which states that the force acting on an object is equal to its mass multiplied by its acceleration. We know the force on object A is 0.39 N and its mass is 550 g (0.55 kg). Therefore, the initial acceleration of object A can be calculated as follows:

Force = Mass × Acceleration

0.39 N = 0.55 kg × Acceleration

Solving for acceleration:

Acceleration = 0.39 N / 0.55 kg

The initial acceleration of object A is approximately 0.709 m/s^2.

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What is the low end of the range of surface temperature for blue white stars

Answers

B 10,000 - 30,000 K Blue-white stars

A 7,500 - 10,000 K White stars

F 6,000 - 7,500 K Yellow-white stars

G 5,000 - 6,000 K Yellow stars (like the Sun)

The lowest temperature stars are red while the hottest stars are blue. Astronomers are able to measure the temperatures of the surfaces of stars by comparing their spectra to the spectrum of a black body.

a scuba diving tank of oxygen gas has a pressure of 204 atm when kept in a climate-controlled storage area with a temperature of 23c. what would be the pressure inside the tank if left outside in the sun when the temperature is 37c?

Answers

213.65 atm is the pressure inside the tank if left outside in the sun in the temperature is 37°C.

Gay-Lussac's law

Gay-Lussac's law states that " the pressure exerted by a gas (of a given mass and kept at a constant volume) varies directly with the absolute temperature of the gas".

According to the law, we have,

\(\frac{p_2}{T_2} = \frac{p_1}{T_1}\)

Where,

\(p_2\) is final pressure

\(p_1\) is initial pressure

\(T_2\) is final temperature

\(T_1\) is initial temperature

Initial temperature: T₁ = 23° C =273 + 23 K = 296 K.

Initial pressure: p₁ = 204 atm.

Final temperature: T₂ = 37°C = 273 + 37 K = 310 K.

Final pressure: p₂ = ?

Substituting the values we get,

\(\frac{p_2}{T_2} = \frac{p_1}{T_1}\)

\(p_2\) = \(\frac{(p_1)(T_2)}{T_1}\)

\(p_2\) = \(\frac{(204)(310)}{296}\)

\(p_2\) = \(\frac{63,240}{296}\)

\(p_2\) = 213.648 ≈ 213.65atm.

Therefore, the pressure inside the tank if left outside in the sun is 213.65atm.

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A student reacted calcium with carbon to form a compound. The calcium atoms transferred electrons to the carbon atoms. The compound is classified as —
complete.

covalent.

unbalanced.

ionic.

Answers

Answer:

Ionic.

Explanation:

To know the the correct answer to the question given above, let us define the terms covalent and ionic.

Covalent is the term used to characterise a compound which is formed by sharing of electrons between the atoms involved. Thus, the compound formed is called covalent compound.

Ionic is the term used to characterise a compound formed when there is a transfer of electron(s) from the metallic atom to the non-metallic atom. The compound formed is called ionic compound.

Considering the question given above, since the calcium atom transfer electron(s) to the carbon atom, it means the compound is an ionic compound.

70 Joules of work are done pushing a cart 3.5 meters across the floor.
What average force was applied to the cart while this work was done? *

Answers

Answer:

20

Explanation:

force=work done÷distance

regarding a string with constant tension t and linear density , please calculate the ratio of standing wave frequency between adjacent harmonic modes , , and .

Answers

The ratio of standing wave frequency between adjacent harmonic modes can be found using the formula f_n = nf_1, where n is the harmonic number and f_1 is the fundamental frequency.

The fundamental frequency, f_1, can be calculated using the formula f_1 = (1/2L) * √(T/μ), where T is the tension, L is the length of the string, and μ is the linear density.

For the adjacent harmonic modes, their frequencies will be f_2 = 2f_1, f_3 = 3f_1, and so on.

The ratio of the frequencies can be calculated by dividing the frequency of each mode by the frequency of the previous mode.



Summary: Using the formulas provided, the ratio of standing wave frequency between adjacent harmonic modes , , and can be calculated by dividing their frequencies. For example, the ratio between and would be f_2 / f_1, the ratio between and would be f_3 / f_2, and so on.

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the hot resistance of a flashlight bulb is 1.90 ω, and it is run by a 1.54-v alkaline cell having a 0.100-ω internal resistance. (a) what current flows?

Answers

The current flow in the circuit is 0.77 A.

What is the current flow in the circuit?

The current flow in the circuit is the rate at which electron flows in the circuit at a given period of time.

Apply the flowing Ohm's law to determine the current flow in the circuit.

I = V/(R + r)

where;

I is the current flown in the circuitV is the voltage of the circuitR is the resistance of the circuitr is the internal resistance of the circuit

I = (1.54) / (1.9 + 0.1)

I = 0.77 A

Thus, the current flow in the circuit is determined by applying Ohm's law equation.

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Electrical equipment noted in an AEGCP must be visually inspected for damage or defects.

A. Quarterly
B. Monthly
C. Weekly
D. Before each day's use

Answers

Electrical equipment noted in an AEGCP must be visually inspected for damage or defects on a monthly basis.

The correct option to the given question is option B.

Electrical equipment is usually defined as machinery, apparatus, and associated appliances that are operated by electricity.

AEGCP stands for Alternative Energy Generating and Control Plant. It is a plant that produces electricity by using alternative energy sources, such as wind power, hydropower, and solar power. Electrical equipment that is used in an AEGCP must be visually inspected for damage or defects on a monthly basis to ensure that it is in proper working order.

Electrical equipment that is used in an AEGCP must be visually inspected on a monthly basis. During the inspection, the equipment should be checked for damage or defects that could cause it to malfunction. The inspector should look for signs of wear and tear, such as cracks, frayed wires, and loose connections, as well as any other damage that could affect the equipment's performance. If any damage or defects are found, the equipment should be repaired or replaced immediately to prevent further damage or injury.

It is important to inspect electrical equipment on a regular basis to ensure that it is in proper working order. By doing so, you can help prevent accidents and injuries that could result from faulty equipment. In addition, regular inspections can help identify potential problems before they become serious issues that could result in costly repairs or replacements.

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Final answer:

Electrical equipment under an Assured Equipment Grounding Conductor Program, or AEGCP, should be inspected for damage or defects before each day's use. These inspections are to ensure safety and functionality of the equipment.

Explanation:

The frequency of equipment inspections may be determined by company policy, industry standards, or local regulations. In general, electrical equipment, in an AEGCP (Assured Equipment Grounding Conductor Program), should be visually inspected for any signs of damage or defects before each day's use.

This means option D ('Before each day's use') would be the correct frequency for inspections. Inspecting the equipment regularly helps to detect potential problems early, thereby reducing the risk of equipment failure, injury, and property damage.

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The component of the external magnetic field along the central axis of a 46 turn circular coil of radius 33.0 cm decreases from 2.90 T to 0.150 T in 2.30 s. If the resistance of the coil is ????=7.50 Ω, what is the magnitude of the induced current in the coil?

Answers

The magnitude of the induced current in the coil is 2.5298 A.

How to find the magnitude of the induced current in the coil?

The induced current in the coil can be calculated using Faraday's law of electromagnetic induction,

It states that the magnitude of the induced electromotive force (EMF) is proportional to the rate of change of magnetic flux through a surface enclosed by a conductor.

The formula for the induced EMF is given by:

EMF = -N dΦ/dt

where N is the number of turns in the coil, Φ is the magnetic flux through the coil, and dΦ/dt is the rate of change of magnetic flux.

The negative sign indicates that the induced EMF opposes the change in magnetic flux.

The magnetic flux through the coil can be calculated using the formula:

Φ = BA

where B is the magnetic field strength, and A is the area of the surface enclosed by the coil.

Since the coil is circular, the area can be calculated as \(A = \pi r^2\), where r is the radius of the coil.

Using these equations, we can calculate the induced EMF and the induced current as follows:

Area of the coil, \(A = \pi r^2 = \pi (0.33 m)^2 = 0.345 m^2\)

Initial magnetic flux, \(\Phi $_1 = BA_1 = (2.90 T)(0.345 m^2) = 1.00065 Wb\)

Final magnetic flux, \(\Phi $_2 = BA_2 = (0.150 T)(0.345 m^2) = 0.05175 Wb\)

Rate of change of magnetic flux, dΦ/dt = \((\Phi $_2 - \Phi $_1)/t\)= (-0.9489 Wb)/2.30 s = -0.41296 W/s

Induced EMF, EMF = -N dΦ/dt = -(46)(-0.41296 W/s) = 18.9736 V

Induced current, I = EMF/R = 18.9736 V/7.50 Ω = 2.5298 A

Therefore, the magnitude of the induced current in the coil is 2.5298 A.

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Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)

Observer A and Observer B are both stationary and at the same distance from the object.
Observer A and Observer B are both stationary and at the same distance from the object.

Observer A is stationary and Observer B is moving.
Observer A is stationary and Observer B is moving.

Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are moving at different speeds relative to each other.

Observer A and Observer B are stationary but at different distances from the vibrating object.

Answers

We want to explain why two different observes may measure different frequencies for the same vibrating object.

We will see that the two correct options are:

Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.

Let's assume that the vibrating object is a guitar string. Thus, the string makes a noise, and from that noise, we can estimate the frequency at which the string vibrates.

Now there appears a really cool effect, called the Doppler Effect. It says that the apparent change of frequency is due to the motion of the observer or the source of the frequency (or both).

For example, if you move towards the vibrating string, the perceived frequency will be larger, and you will hear a "higher" sound.

While if you move away from the string, the opposite happens, and you will hear a "lower" sound.

Then the only thing that impacts in how we perceive the frequency is our velocity relative to the source.

So, why do observers A and B measure different frequencies?

The two correct answers are:

Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.

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Your Answers for Redshift and Blueshift Quick Check are down here ↓

Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)

Observer A is stationary and Observer B is moving. * A = yes

Observer A and Observer B are moving at different speeds relative to each other. * B = yes

Observer A and Observer B are stationary but at different distances from the vibrating object. No

Observer A and Observer B are both stationary and at the same distance from the object. No

Why do scientists observe blueshift in certain stars?(1 point)

Light wave frequencies increase as an object moves toward the observer. * A = yes

Stars with lower temperatures emit more light waves at the blue end of the spectrum. No

Light wave frequencies decrease as an object moves toward the observer. No

Stars with higher temperatures emit more light waves at the blue end of the spectrum. No

When will a scientist observe redshift in the spectrum of a distant space object?(1 point)

when the object is stationary. No

when the object is moving toward the scientis. No

when the object is moving away from the scientist * C = yes

when the object is in the same frame of reference as the scientist. No

Hope this helps :) . Your Welcome, and Hope you guys are doing good in school!!

Conclusion: Suggest an equation relating Felect, q1, q2 and d of the form Felect = k•... where k is a proportionality constant (no need to determine its value). Place the three variables q1, q2 and d on the right side of the equation in a numerator or a denominator; use a power if needed. Your equation should be consistent with your claims made in Challenge #1 and Challenge #2. *I already solved the rest of the worksheet, I only need the conclusion.*

Answers

Answer:

\(F_{elect} = \frac{kq_1q_2}{d^2}\)

Explanation:

Consider the given variables:

Felect = Electrostatic Force between charged particles

k = Coulomb's Constant

q₁ = magnitude of first charge

q₂ = magnitude of second charge

d = distance between the charges

The relationship among these variables is given by the Coulomb's Law:

\(F_{elect} = \frac{kq_1q_2}{d^2}\)

This is the relationship that contains k, q₁, q₂, d on the right-hand side and Felect on the left-hand side.

Figure 4: Index Fossils, Scientists use index fossils to match rock layers. Interpret Diagrams: Label the layers to match the first area shown. Circle the fossil or fissils. What can you infer about the history of Location 4?

Figure 4: Index Fossils, Scientists use index fossils to match rock layers. Interpret Diagrams: Label

Answers

Answer:

kamalong with me to the butter fly and bee

Nuclei decay from a more stable form to a less stable form.Question 9 options:TrueFalse

Answers

ANSWER

False.

EXPLANATION

In radioactive decay (or nuclei decay), an unstable nucleus emits radiation into a nucleus that is table and has less energy and a lower mass.

Therefore, nuclei decay from a less stable form to a more stable form.

The answer is false.

Milk is a very weak acid. What might its pH value be ?

Answers

Answer:

pH value is between 6.5 and 6.8

Explanation:

Explanation:

Milk fresh from the cow typically has a pH between 6.5 and 6.7. The pH of milk changes over

Since these three vehicles would all go the same speed at the bottom if released from the same height, would they all possess the same amount of kinetic energy? Mid-point between maximum height and zero

Answers

Since these three vehicles would all go the same speed at the bottom if released from the same height, they would not all possess the same amount of kinetic energy because they have different amounts of potential energy.

Kinetic energy is dependent on the velocity of the object as well as its mass. Therefore, the three vehicles, though they have the same speed, would differ in their kinetic energy due to their varying mass. This concept is known as mechanical energy and is the sum of kinetic and potential energy.

Mechanical energy is also constant in an ideal situation where no external forces are acting upon the object. For instance, the three vehicles will all have the same mechanical energy at the release point but would not possess the same amount of kinetic energy due to their mass difference. Therefore, they would have different amounts of potential energy when released.

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A 5 kg bowling ball is at rest next to an 8 kg bowling ball. Rory thinks it would be a good idea to put an M80 between them and see what happens after the explosion. Since he is working by himself, he can only measure the speed of one ball. He calculates that the speed of the 5 kg ball is 1. 3 m/s to the left. What must the speed of the 8 kg ball be?

Answers

The speed of the 8 kg ball must be 0.83 m/s to the right.

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system of objects is conserved if no external forces act on the system. Before the explosion, the total momentum of the system is zero since both balls are at rest.

After the explosion, the total momentum of the system is still zero, so the momentum of the 5 kg ball to the left must be balanced by the momentum of the 8 kg ball to the right. We can use the formula for momentum, which is momentum = mass x velocity. Let v be the velocity of the 8 kg ball after the explosion.

Then we have

5 kg x (-1.3 m/s) + 8 kg x v = 0

Solving for v, we get:

v = (5 kg x 1.3 m/s) / 8 kg = 0.8125 m/s

Since the velocity is to the right, we get:

v = 0.83 m/s to the right.

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17.Shenna is observing two mineral samples in science class. He records his observations of the

samples in

the table below,

Minerals

Pyrite

Description

cubic crystals

Mica

breaks into thin sheets

Which property of the samples has Shenna recorded?

A. cleavage

B. hardness4

C. luster

D. streak

Answers

Shenna has recorded the property of cleavage. Cleavage refers to the tendency of a mineral to break along flat, smooth planes due to its internal structure.structure.So,The correct option would be (A) Cleavage.

Cleavage is a property that describes how a mineral breaks along planes of weakness, resulting in smooth, flat surfaces. It is one of the key characteristics used to identify and classify minerals.

In the given observations, Shenna noted that the mineral sample called "Mica" breaks into thin sheets. This characteristic indicates that Mica exhibits cleavage. When Mica is subjected to stress or force, it breaks along flat planes, resulting in thin, sheet-like fragments.

On the other hand, Shenna described the mineral sample called "Pyrite" as having cubic crystals. While this information is valuable for identifying Pyrite, it does not pertain directly to the property of cleavage.

Shenna has recorded the property of cleavage based on his observation that the mineral sample called "Mica" breaks into thin sheets.sheets.Hence the correct answer is Cleavage. Cleavage refers to the tendency of a mineral to break along flat, smooth planes due to its internal structure.

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What is the difference between visible light and x rays

Answers

Answer: X rays are high energy electromagnetic waves, but visible light is medium energy electromagnetic waves.

The visible spectrum is very narrow compared to the X-ray spectrum.

X rays can penetrate the human body but visible light is not capable of doing that. Hope this helped! :)

A box with a total surface area of 1.2 m2 and a wall thickness of 4 cm is made of an insulating material. A 10 W electric heater inside the box maintains the inside temperature at 15 oC above the outside temperature. What is the thermal conductivity of the insulating material in units of kcal/(s oC m)

Answers

For a box with a total surface area of 1.2 m2,  the thermal conductivity of the insulating material is mathematically given as

k=5.29*19^{-6} kcal/(s oC m)

What is the thermal conductivity of the insulating material?

Generally, the equation for the   is mathematically given as

P=Ka dT/L

Therefore

k=10*4*10^{-2}/1.2*1.5

k=5.29*19^{-6} kcal/(s oC m)

In conclusion, the thermal conductivity

k=5.29*19^{-6} kcal/(s oC m)

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với vo= 72km/h thì hãm phanh chuyển động chậm dần đều, sau 10s đạt v1= 54km/h.

a) Sau bao lâu kể từ lúc hãm phanh thì đoàn tàu đạt v = 36km/h và sau bao lâu thì dừng hẳn?

b) Tính quãng đường đoàn tàu đi được cho đến lúc dừng lại?

Answers

Answer:

B

Explanation:

Basta B isagot Mona Tama yan

Which ranks the solutions in order of greatest to least solubility? X → Y → Z Y → X → Z Z → X → Y Y → Z → X

Answers

Answer:

The answer is "Y → X → Z".

Explanation:

In this question, the chart is missing and the question is not complete that's why we search this question and only give its correct answer that's is defined above, and please find the complete question in the attached file.

Which ranks the solutions in order of greatest to least solubility? X Y Z Y X Z Z X Y Y Z X

what is the commonality of t-bars, a framework of steel or metal channels suspended by wires, and pre-cut acoustic tiles?

Answers

T-Bars outside of major construction projects is as supports for a dropped ceiling.

What are T bars in a building?

A flat metal plate at the bottom of a ribbed "T"-shaped bar that is driven into the ground. usually used to identify the locations of a water meter pit and chain link fence posts.

What is a metal bar called?

Metal bar stock is the same way. Round bar (also known as rod), rectangular bar (including square bar, the exceptional case with equal sides), and hexagonal bar are the three most used shapes (usually called hex bar for short).

What are the metal bars on a bar for?

Although it might seem out of place at the bar, this metal rail has a useful purpose. A few Reddit users described the purpose of the service bar rail, which separates clients from the area where drinks and employees enter and exit the establishment.

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The observation that the galaxies are moving away from each other at tremendous speed demonstrates that the _____________________________.

Answers

The observation that the galaxies are moving away from each other at tremendous speed demonstrates that the universe is expanding.

The observation that the galaxies are moving away from each other at tremendous speed demonstrates that the universe is expanding. The discovery of the expanding universe was one of the most important astronomical findings of the 20th century. This observation was first made by Edwin Hubble in the 1920s when he discovered that the galaxies are moving away from each other at tremendous speed. This was a major breakthrough in the field of cosmology, as it suggested that the universe had a beginning and was not static. The Big Bang theory, which is the prevailing cosmological model, states that the universe started as a singularity and has been expanding ever since.
The observation of the expanding universe has many implications for our understanding of the universe. It provides evidence for the Big Bang theory and supports the idea that the universe is finite in age. The expansion of the universe also affects the evolution of galaxies and the distribution of matter in the universe.

In conclusion, the observation that the galaxies are moving away from each other at tremendous speed demonstrates that the universe is expanding. This discovery has had a profound impact on our understanding of the universe and has led to the development of the Big Bang theory and other important ideas in cosmology.

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Playing shortstop, you pick up a ground ball and throw it to second base. The ball is thrown horizontally with a speed of 13 m/s directly toward point A. When the ball reaches the second baseman 0,44 s later, it is caught at point B. How far were you from the second baseman? What is the distance of the vertical drop, the distance between point A and point B.

Answers

You were approximately 5.72 meters away from the second baseman. The vertical drop or distance between point A and point B was approximately 0.4576 meters.

To determine the distance between you (the shortstop) and the second baseman, we can use the formula for horizontal distance (d) traveled by an object moving at a constant horizontal velocity:

d = v * t

where:

- d is the horizontal distance traveled,

- v is the horizontal velocity of the ball,

- t is the time taken.

Given that the horizontal velocity (v) is 13 m/s and the time (t) is 0.44 s, we can calculate the horizontal distance (d) as follows:

d = 13 m/s * 0.44 s = 5.72 meters

So, you were approximately 5.72 meters away from the second baseman.

To find the vertical drop or the distance between point A and point B, we need to calculate the vertical component of the ball's motion. Since the ball is thrown horizontally, it will experience a constant vertical acceleration due to gravity.

The formula to calculate the distance (d) traveled vertically in free fall is:

d = 1/2 * g * t²

where:

- d is the vertical distance traveled,

- g is the acceleration due to gravity (approximately 9.8 m/s²),

- t is the time taken.

Given that the time (t) is 0.44 s, we can calculate the vertical distance (d) as follows:

d = 1/2 * 9.8 m/s² * (0.44 s)² = 0.4576 meters

So, the vertical drop or the distance between point A and point B is approximately 0.4576 meters.

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A man walks 4 m north & then turns and walks 6 m east. What is the total distance & displacement?
O Distance: 10 m & displacement: 10 m NE
O Distance: 10 m NE & displacement 10 m
Distance: 10 m & displacement: 7.2 m NE
O Distance: 7.2 m & displacement: 10 m NE

Answers

Answer:

Distance = 10m and Displacement = 7.2NE

A man walks 4 m north & then turns and walks 6 m east. What is the total distance & displacement?O

Consider the electric force between a pair of charged particles a certain
distance apart. By Coulomb's Law:
If the charge of one of the particles is doubled, the force is:
(unchanged), (halved), (doubled), (quadrupled)

Answers

Answer:

Doubled

Explanation:

F = (kq1q2) / r^2

F and q (Either q1 or q2) are directly proportional, so double the charge would also double the electruc force between the charges.

How many oz are in 9080 mg

Answers

Answer:

0.32028758 oz.

Explanation:

Formula: 9080 mg, divide the mass value by 28349.5231

Which equals it 0.32028758 oz.

Answer:

0.3202876 oz

Explanation:

for an approximate result, divide the mass value by 28350

suppose we want a satellite to revolve around the earth 4 times a day. what should the radius of its orbit be? (neglect the presence of the moon.)

Answers

The radius of the orbit of the satellite should be cuberoot (36) ≈ 3,557 km.

To calculate the radius of an orbit of a satellite revolving around the Earth, we can use Kepler's Third Law of Planetary Motion. Kepler's Third Law states that the square of the orbital period of a planet is directly proportional to the cube of its semi-major axis.

Here's how we can use it to solve the given problem: Given, the satellite has to revolve around the earth 4 times a day.

So, the time period (T) of the satellite can be calculated as follows: T = 24 hours/4 = 6 hours

Now, according to Kepler's Third Law, we can write: T² ∝ r³

Where T is the time period of the satellite and r is the radius of its orbit. As we want the satellite to complete 4 orbits in a day, its time period is 6 hours.

Therefore, substituting the values, we get:6² ∝ r³=> 36 ∝ r³=> r³ = 36

Therefore, the radius of the orbit of the satellite should be cuberoot (36) ≈ 3,557 km.

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A 1900 kg jet engine is fastened to the fuselage of a passenger jet by just three bolts (this is the usual practice). Assume that each bolt supports one-third of the load. (a) Calculate the force on each bolt as the plane waits in line for clearance to take off. (b) During flight, the plane encounters turbulence, which suddenly imparts an upward vertical acceleration of 1.9 m/s2 to the plane. Calculate the force on each bolt now

Answers

(a) The weight of the engine is given by W = mg, where g = 9.8 m/s² (acceleration due to gravity) and m = 1900 kg. W = (1900 kg) (9.8 m/s²) = 18620 NThere are three bolts, so each bolt supports 1/3 of the weight of the engine. Therefore, the force on each bolt is (1/3) (18620 N) = 6206.67 N(b)

During turbulence, the engine and the fuselage have an upward vertical acceleration of 1.9 m/s². The total force on the engine and the fuselage is given by F = ma, where m = 1900 kg and a = 1.9 m/s².F = (1900 kg) (1.9 m/s²) = 3610 NThe force on each bolt is still divided into three parts, so each bolt will support a force of (1/3) (3610 N) = 1203.33 N.Main

:The force on each bolt as the plane waits in line for clearance to take off is 6206.67 N while the force on each bolt now that the plane encounters turbulence, which suddenly imparts an upward vertical acceleration of 1.9 m/s² to the plane is 1203.33 N.Explanation:The force acting on a bolt can be calculated by dividing the weight of the engine equally among the three bolts. During turbulence, an additional vertical force of 3610 N (1900 kg × 1.9 m/s²) acts on the engine and the fuselage. Again, this force must be divided equally among the three bolts.

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