udora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack

Answers

Answer 1

Eudora spent 0.5 hours from home to library and 1.5 hours from library to school.

Given that,

Average speed from home to library S₁ = 12 km/h

Average speed from library to school S₂ = 76 km/h

Total distance = 120 km

Time = 2 hrs

Let the time spent from home to library  be x. So, from library to school will be = 2 - x

S₁ = 12 km/h

Time spent from home to library T₁ = x

S₂ = 76 km/h

Time spent from library to school T₂ = 2 - x

Distance can be calculated as, D₁ = S₁ T₁ = 12 x

D₂ = S₂ T₂ = 76(2 - x) = 152 - 76 x

As, D₁ + D₂ = 120

12 x + 152 - 76 x = 120

-64 x = -32

x = 0.5

So, T₁ = 0.5 hrs

T₂ = 2 - 0.5 = 1.5 hrs

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Related Questions

A researcher observes hydrogen emitting photons of energy 1.89 eV. What are the quantum numbers of the two states involved in the transition that emits these photons?

Answers

The quantum numbers of the 2 states involved in the transition that emits these photons of energy 1.89 eV of hydrogen is n=3 to n=2

The hydrogen atom is the simplest atom in which an electron moves in the spherically symmetric Coulomb potential of the proton. The total energy of an atom in the center of the mass system can only have discrete values for the stationary states described by the quantum numbers.

Energy of the emitted photon, ΔE=1.89eV. The total energy of a hydrogen atom is given as, En=−13.6/n^2eV, Here, n is the principal quantum number.

An electron absorbs or emits radiation in the form of discrete energy, which equals the difference in energies of the final and initial state. Mathematically, ΔE=Ef−Ei. Here, Ef  is the energy of the final state and Ei  is the energy of the initial state.The difference in energy when an electron makes transition from n=3 to n=2. ΔE3→2= E3−E2=(−1.51eV)−(−3.4eV)= 1.89eV.

Since, ΔE=ΔE3→2. Therefore, the electron makes a transition from n=3 to n=2.

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When you step on the break, the car engine rotation rate decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the average angular acceleration

Answers

The average angular acceleration has a value of 0.74 rad/s2.

What leads to a reduction in angular speed?

Applying a force tangential to the rim and in the direction of the instantaneous velocity of the piece of the rim you are applying the force to will most likely increase the angular speed. Reversing the direction of the force will slow down the angular speed.

What are the positions of and when rotation is accelerating?

(rad/s)/s or rad/s2 are the units of angular acceleration. If rises, is a positive number. is negative if it decreases. Remember that the positive direction is counterclockwise and the negative direction is clockwise.

F = m r α . τ=mr2α. τ = m r 2 α

initial rotaton speed=10rad/s

final speed=6.3rad/s

time=5sec.

α=(10-6.3)/5 =.74rad/s

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A 2.6-mm-diameter sphere is charged to -4.4 nC. An electron fired directly at the sphere from far away comes to within 0.32 mm of the surface of the target before being reflected.
a. What was the electron's initial speed?
b. At what distance from the surface of the sphere is the electron's speed half of its initial value?
c. What is the acceleration of the electron at its turning point?

Answers

The correct answer to the given question is -6.944 * 10^-28 Joules

a. To find the electron's initial speed, we can use the conservation of energy. The initial kinetic energy of the electron must equal the final potential energy of the electron at its closest approach to the sphere.

Ki = 1/2 * me * v^2

v = sqrt(2Ki/me)

Ki = qe * V = (1.6 x 10^-19 C) * (-4.4 x 10^-9 C) = -6.944 x 10^-28 J

b. At the point where the speed of the electron is half of its initial value, the kinetic energy of the electron is half of its initial value. Therefore,

Ki/2 = 1/2 * me * (v/2)^2

we can solve for the distance from the surface of the sphere using the same equation as in part a, and substituting Ki/2 and v/2 for Ki and v respectively

c. The acceleration of the electron at its turning point can be found using the equation for centripetal acceleration:

a = v^2/r

where a is the acceleration, v is the speed of the electron, and r is the distance of the electron from the center of the sphere at its closest approach. We can use the value of v from part a and the distance from part b to find the acceleration.

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Energy can't be made or destroyed. It is only ever transferred, stored or dissipated. This means that energy is... what?​

Answers

It means energy is conserved.

Energy neither can be created nor can be destroyed,it only can be transferred from one form to another,this is called law of conservation of energy.
The energy is conserved due the law of energy conservation

2.1 The sketch below shows a large suitcase with a mass of 32 kg rests on a rough incline at an angle of 30 to the ground. 2.1.1 Define normal force in words. 2.1.2 Draw a labelled free-body diagram of all the forces acting on the suitcase. 2.1.3 Calculate the magnitude of the force of friction that keeps the suitcase stationery on the incline. (2) (3) (3) 2.1.4 Calculate the coefficient of static friction between the suitcase and the incline, if the suitcase is just about to move on the incline. (3)​

Answers

Answer:

Explanation:

1) Normal force is the upward force applied by the ramp (incline) on the suitcase as the reaction to the downward force of the Weight (Fg) of the suitcase

2)  sorry, can't supply a FBD.  Brainly doesn't have drawing tools available.

3)  Fg = mg = (32 kg)(9.8 m/s²) = 313.6 N

N= y-component of Fg = cos30(313.6 N) = 271.6 N

Ff = (coeff. friction)(N)

3) Ff = x-component of Fg = sin30(313.6) = 156.8 N

4) coeff. friction = Ff/N = 156.8N/271.6N = 0.58

Does rain occur most often in warm air masses, cold air masses or at warm fronts where two meet and interact?

Answers

Answer:

at warm fronts where two meet and interact

Explanation:

Warm fronts often bring stormy weather as the warm air mass at the surface rises above the cool air mass, making clouds and storms

ps. I'm not very sure if it's correct

Severity and determinants of stunting in children under age 2 years in Odisha (India): A tribal v/s non-tribal analysis

Answers

In the past eight years, there has been a 3% annual drop in the prevalence of stunting among Indian tribal children under the age of five.

To determine the predictors of stunting and severe stunting among tribal children, as well as to suggest potential policy and program implications, cross-sectional data from 1000 children (287 tribal and 713 non-tribal) aged 0-23 months from Odisha's Rapid Survey of Children (RSOC, 2014) were analyzed. The findings indicate that birth order and maternal illiteracy are significant predictors of childhood stunting, and that maternal age at marriage and at birth was less than 18 years old and less than 20 years old, respectively, for severe stunting. Basic factors such as poverty and maternal ages of 20 years at the time of the first birth and 18 years at marriage were found to predict severe stunting in tribal children.

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A 64.5 kg astronaut is on a space walk when the tether line to the shuttle breaks. The astronaut is able to throw a 12.0 kg oxygen tank in a direction away from the shuttle with a speed of 14.9 m/s, propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest, find the final speed of the astronaut after throwing the tank.

Answers

The final speed of the astronaut after throwing the oxygen tank can be calculated using the conservation of momentum principle.

This principle states that the total momentum of an isolated system remains constant if no external forces act on the system.The momentum of the oxygen tank is given by the equation.

p_t = m_t*vThe conservation of momentum principle states that the initial momentum of the system is equal to the final momentum of the system.

p_i = p_f

The final momentum of the system is the momentum of the astronaut-tank system after the astronaut throws the tank.

p_f = (m_a + m_t)v_f = (64.5 + 12) * v_f = 76.5 * v_f

So the final momentum of the system is equal to the momentum of the oxygen tank.

p_t = m_tv = 1214.9 = 178.8We can set the two equations equal to each other and solve for v_f

178.8 = 76.5 * v_f

v_f = 178.8 / 76.5

v_f = 2.33 m/s

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A pilot is flying a small plane at 130 m/s in a circular path with a radius of 400 m. If a force of 3200 N is needed to maintain the pilot's circular motion, what is the pilot's mass in kilograms rounded to the nearest hundredth?

Answers

The mass of the pilot flying a small plane is 75.74 kg.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

Speed of the small plane: v = 130 m/s.

Radius of circular path: r = 400 meter.

Hence, centripetal acceleration: a = v²/r = (130)²/400  m/s² = 42.25 m/s²

Required force: F = 3200 N.

Hence, from Newton's 2nd law of motion:

The pilot's mass  = force/acceleration

= 3200/42.25 kg

= 75.74 kg.

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A 2.0 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 4.0 m at 3.0 Hz. Determine: a) the velocity of the object. b) the acceleration of the object. c) the pull of the object. d) what happens if the cord breaks.

Answers

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

How do you find a velocity of an object?

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).

By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.

An object's velocity can alter depending on whether it moves faster or slower or in a different direction. An object can move faster, slower, or remain stationary by being pushed or pulled in one direction or the other. Or to put it another way, a thing moves because of a force. Gravity and friction both act as sorts of forces that affect how an object moves.

Therefore, the correct answers are:

a) 75 m/s

b) 1.4 x 103m/s2

c) 2.8 x 103N

d) 75 m/s tangential object flight.

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3. Calculate the force of gravity that Saturn (mass = 5. 7 x 1026 kg) exerts
on a woman on Earth (mass = 61 kg) when Saturn is closest to Earth,
1. 2 x 10° km. ​

Answers

The force of gravity that Saturn (mass = 5. 7 x 1026 kg) exerts on a woman on Earth (mass = 61 kg) when Saturn is closest to Earth = 1. 2 x 10° km. ​

Explanation of the given answer:

Formula used in step two. F = G m 1 m 2 r 2. Step 3: Determine the gravitational force.

Calculating the gravitational force is step three. F = 6.7 10 11 by changing the values in the formula above. 2 × 10 30 × 6 × 10 24 1 .5 × 10 11 2 F = 3 .

The formula for the gravitational constant of the universe is G = 6.674 x 10 - 11 m3/kg s2. Thus, this is the gravitational pull of the sun on the planet.

F = Gm1m2R2, where G is the gravitational constant of the universe. The gravitational force between two bodies of equal mass that are kept at an equal distance from one another constitutes the universal gravitational constant.

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What are some benefits of dynamic exercises prior to playing volleyball how it will prepare your body leading to the game?

Answers

The benefits of dynamic exercises before playing volleyball and how they will prepare your body for the match are:

Increased Muscle Strength and PowerImproved Mobility and FlexibilityImproved Agility and Reaction TimeImproved Balance and CoordinationImproved Cardiovascular Endurance

Explanation of each of the benefits of dynamic exercises before playing volleyball and its preparation

Increased Muscle Strength and Power: Dynamic exercises help to increase muscle strength and power, which is essential for performing explosive movements required in volleyball.Improved Mobility and Flexibility: Dynamic exercises help to improve mobility and flexibility, which can help to reduce the risk of injury.Improved Agility and Reaction Time: Dynamic exercises help to improve agility and reaction time, which can help you to react quickly and effectively to the game.Improved Balance and Coordination: Dynamic exercises also help to improve balance and coordination, which can help you to perform better and avoid unnecessary injuries.Improved Cardiovascular Endurance: Dynamic exercises help to increase your cardiovascular endurance, which can help you to last longer during the game and maintain high intensity throughout.

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2. Donald Trump has a mass of 108 kg, calculate his velocity when he has the following kinetic energy:
a) 1250 J
d) 1.2 kj
g) 90 kj

Answers

Kinetic energy: A) 1250 J: Velocity = √(2*1250/108) = 8.2 m/s, D) 1.2 kj: Velocity = √(2*1200/108) = 82 m/s and G) 90 kj: Velocity = √(2*90000/108) = 819 m/s.

What is Kinetic energy?

Kinetic energy is the energy of motion. It is the energy an object has due to its motion. Kinetic energy can be calculated by multiplying half of an object's mass by the square of its velocity. Kinetic energy is a form of energy that is transferred between objects due to their motion. It is the energy of a moving object and is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is proportional to the square of its velocity. Kinetic energy is a form of energy that is associated with the motion of an object. It is the energy of a moving object and is equal to the work done to accelerate the object from rest to its current velocity.

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A hunter shoots a bullet horizontally at a rock cliff wall that is 200 m away. They hear the sound of the bullet hitting the rock 0.85 seconds later. Knowing that the speed of sound was 340 m/s, what was the speed of the bullet

Answers

The fact is that the speed of the bullet plus the speed of sound is equal to the total distance traveled divided by the total time taken. Speed of bullet + Speed of sound = Total distance traveled / Total time taken.

Calculation-

We know the speed of sound is 340 m/s, the distance traveled is 200 m, and the time taken is 0.85 seconds. We can use these values to find the speed of the bullet.

Speed of bullet = (Total distance traveled / Total time taken) - Speed of sound

By substituting the values, we get:

Speed of bullet = (200m / 0.85s) - 340m/s

Speed of bullet = 235.29 m/s

Therefore, the speed of the bullet was 235.29 m/s.

Is a bullet moving at the same rate as light?

Nothing can travel faster than the speed of light, according to Einstein's special relativity theory, which was first published in 1905. According to Einstein, this speed is a basic constant of nature since it seems the same to all observers, regardless of where they are in space.

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At a particular speed, a jumbo jet can travel its own length in 20 seconds. At this same speed, the jumbo jet taxied completely past a 710-foot-long hangar in 70 seconds, as shown. What is the length of the jumbo jet in feet

Answers

A jumbo jet can fly its whole length in 20 seconds at a certain speed and has a 284-foot length. The big jet taxied completely past a 710-foot-long hangar in 70 seconds while travelling at the same speed.

In physics, you can get average speed by dividing the total distance travelled by the total time needed to travel that distance. Speed is the rate of change in an object's position, expressed in metres per second. The rate at which an object travels a distance is considered its speed. High speed describes an object that is travelling quickly.

P should represent the plane's length in feet.

20p = (710+p)/20p = 14200+20p 50p = 14200 p = 284ft

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Identify work or a task that you’d like to make easier by using a device or tool. Here are a few possibilities: Easily pick up paperclips or pins that have fallen on the floor. Make a bed in less time. Move laundry from a basket into a washing machine without bending down. Sweep the floor without bending down. Rinse a collection of dishes at the same time. Efficiently pass salt and pepper shakers around a table. Rescue somebody from a high place. Choose a task from the list or, better yet, come up with your own. Explain how your tool or device will make the task easier. Note the simple machines that the tool or device will use.

Answers

The work or a task that I'd like to make easier by using a device or tool is sweeping the floor without bending down through the use of a vacuum cleaner.

What is a Device?

This is referred to as a mechanical or electronic equipment which is made or adapted for a particular purpose and makes work easier and faster through technological advancement.

In the case of sweeping the floor without bending down, a vacuum cleaner is most appropriate as it uses an electric motor that spins a fan, thereby resulting in the sucking in of air and any small particles caught up in it thereby making it the correct device to be used.

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What is the difference between dynamic and passive stretching?

Answers

It is a passive stretch if it depends on an outside force. Stretches that are passive and static are a fantastic technique to increase flexibility and can also be utilised to cool down.

What is the difference between static and passive stretching?

Passive stretching, which is called a static stretch, is a technique in which you remain calm and do not add to the range of motion. Static stretching involves stretching all the way to the end and holding the stretch. An external force, like a partner, is instead produced by an external force.

This stretching technique relies on a prop, accessory, or partner to help increase the stretch, thus you aren't actively assisting in extending your range of motion. Passive stretches improve flexibility while reducing muscle soreness and tiredness after a workout.

Stretching with movement is known as dynamic stretching. It stretches the muscles by using the muscles themselves. The usual "static" stretching is not like this.

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Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.

Answers

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

What does rotational kinetic energy?

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

Given data -

Mass = 12-kg

Angular velocity (ω) -120rad/s

inner radius = 0.280 m

outer radius = 0.330 m.

By using the formula

I = ½*M (r1² + r2²)

I = ½ *(12) * (0.2802 + 0.3302)

I = 1.1238 Kgm2

K.E = ½*Iω2

K.E = ½ * (1.1238)*(120)2

K.E = 809.14 J

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4. Driving home from school one day, you spot a ball rolling out in the street. You brake for 1.20 s, slowing your 950 kg car from 16 m/s to 9.5 m/s. a. What was the average force exerted on your car during braking

Answers

As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.

Describe acceleration:

An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.

v = v o + a t  ( the acceleration will be negative )

9.50 = 16.0 + a * 1.2

a * 1.2 = -16.0 + 9.50

a * 1.2 = - 6.5

a = - 6.5 : 1.2

a = - 5.4167 m/s²

F = m * a

950 kg * 5.4167 m/s²

F = 5,145.8 N ( the average force exerted on a car during braking )

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If an object was traveling horizontally off a cliff at 9 m/s for 7 seconds, how far did it go?

Answers

The object travelled 63 meters at 9m/s for 7 seconds.

What is distance travelled?

The length of the trajectory taken between the initial and final positions of the moving body is the distance traveled.

To calculate the distance traveled by an object traveling horizontally off a cliff, you can use the formula:

d = v * t

where d is the distance traveled, v is the velocity (9 m/s), and t is the time (7 seconds).

By substituting the given values into the formula, we get:

d = 9 * 7 = 63 meters

So, the object traveled 63 meters horizontally before it hit the ground after being launched off the cliff at 9 m/s for 7 seconds.

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Bird bones have air pockets in them to reduce their weight. This also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 47.0 g47.0 g and its apparent mass when submerged is 3.60 g3.60 g (the bone is watertight). What mass of water is displaced

Answers

The mass of water displaced when the mass of bird bone in water and air is given, is calculated to be 43.4 g.

Given that,

Weight of bird bone in air = True weight = 47 g

Apparent weight of the bird bone when submerged = 3.6 g

The equation for apparent weight is known to be,

Apparent weight = True weight - Buoyant force

Making Buoyant force as subject, we have,

Buoyant force = 47 g - 3.6 g = 43.4 g

F b = mw × g = (m wat - m air)× g

mw = m wat - m air = 47 g - 3.6 g = 43.4 g

Thus, the mass of the water displaced is 43.4 g.

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A ? is a distortion in a voltage waveform where the voltage quickly drops toward zero and then returns to the correct value.

Answers

"A notch is a distortion in a voltage waveform where the voltage quickly drops toward zero and then returns to the correct value."

In general, the primary overcurrent device is not considered to safeguard transformer secondary wires. Transformers with two windings are all isolation transformers.

A voltage waveform distortion known as notching is brought on by intense current bursts of very short duration. These distortions generally show up graphically as a notch in the waveform's time domain representation.

When current commutates from one phase to another during normal operation of power electronic devices, a sort of periodic waveform distortion called voltage notching is created. The most significant instance of voltage notching occurs in three-phase converters. The transition of the current from one phase to another causes the notches.

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Imagine you are an astronomer who recently discovered a new planet orbiting a distant star. Which set of characteristics would you use to classify this planet as an inner or terrestrial planet

Answers

The characteristics which I would suggest are the planet should be dense, solid and located near star.

All the eight planets of the solar system move around the sun in fixed paths. These paths are elongated. They are called orbits. Mercury is nearest to the sun. It takes only about 88 days to complete one round along its orbit.

Venus is considered as ‘Earth’s-twin’ because its size and shape are very much similar to that of the earth.

Till recently (August 2006), Pluto was also considered a planet. However, in a meeting of the International Astronomical Union, a decision was taken that Pluto like other celestial objects (Ceres, 2003 UB313) discovered in recent past may be called ‘dwarf planets.

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What type of protein secondary structure does the structure shown here (Fiqure 1) represent? O a-helix O a-sheet
O B- helix O B-sheet O y turn

Answers

The correct option is C. β-sheet type of protein secondary structure does the structure shown here (Figure 1) represent.

A shape is an arrangement and organization of interrelated elements in a fabric item or gadget, or the item or system so prepared. material systems encompass guy-made items consisting of homes and machines and natural items which include organic organisms, minerals, and chemical compounds. abstract structures consist of statistics structures in pc science and musical shape.

Sorts of the shape include a hierarchy (a cascade of one-to-many relationships), a network providing many-to-many links, or a lattice presenting connections among additives that can be pals in space.

Built structures are widely divided by using their various design approaches and requirements, into classes together with constructing systems, architectural structures, civil engineering structures, and mechanical structures.

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Complete Question:

What type of protein secondary structure does the structure is shown here (Figure 1) represent?

A). α-helix

B). α-sheet

C). β- helix

D). β-sheet

E). γ turn

What is the relationship between mass thermal energy transfer kinetic energy and temperature?

Answers

The relationship between mass thermal energy transfer kinetic energy and temperature is: When the temperature of an object raises, the average kinetic energy of its particles raises. When the average kinetic energy of its particles raises, the object's thermal energy raises.

The thermal energy in a substance is the whole kinetic energy of all the particles in the substance. If we warm a substance or object, as each particle speeds up, the average speed of the particles (temperature) raises, and accordingly the total speed (kinetic energy) of the particles (thermal energy).

The total of heat transferred is also directly proportional to the mass. To make an equivalent temperature change in a doubled mass, we need to add twice the heat.

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A 1.5 kg ball falls onto a floor. Just before it strikes the floor, its velocity is 12 m/s. The ball bounces up with a velocity of 10 m/s. Find the impulse on the ball.

Answers

Answer:33Ns

Explanation:

What is the density of a sample if its mass is 44.2g and its volume is 22.1cm3?

Answers

Taking into account the definition of density, the density of a sample if its mass is 44.2 g and its volume is 22.1cm³ is 2 g/cm³.

Definition of density

Density is the ratio of mass to volume of a substance. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is:

density= mass÷ volume

This means that density (ρ) is equal to mass (m) divided by volume (v) and it is possible to deduce that density is inversely proportional to volume: the smaller the volume occupied by a certain mass, the greater the density.

Density is one of the physical properties of matter that can be observed in its different states: solid, liquid, and gas.

Density of the sample

In this case, you know that:

Mass= 44.2 gVolume= 22.1 cm³

Replacing in the definition of density:

density= 44.2 g÷ 22.1 cm³

Solving:

density= 2 g/cm³

In summary, the density is 2 g/cm³.

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why does increasing axon diameter increase conduction velocity conduction resistance capacitance

Answers

The increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.

Capacitor is a body which is used to store the electricity in it and we can use it in the time when we need it in the circuit. also we can use the capacitor in the jumping the charge and electricity from the spark gap in the circuit to attain a good height and velocity as we needed it. by this information we can primarily consider that the increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.

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A 0.50-kilogram ball is thrown upward with an initial kinetic energy of 25 joules. Approximately how high will the ball rise

Answers

The height will the ball rise when a 0.50-kilogram ball is thrown upward is 5.1 meters.

Given,

Mass = 0.5 kg

Kinetic energy = 25 joules

Potential energy = mgh = 25

                              = 0.5 × 9.8 × h = 25

                               = 5.1 meters

In general, the work done by a force on an object between two points does depend on the path taken by the object between the two points. For the special case of conservative forces, we have seen that the work does not depend on the path.

Therefore, we can define, for conservative forces, an associated potential energy that, for a given object, depends only on its location. In particular, when a conservative force acts on an object as it moves between two points, we define the define the change in potential  energy associated with that force as minus the work done by that force between those two  points.

kinetic energy of the ball was equal to the work done by the gravitational force. By our definition, the change in gravitational potential energy is equal to minus the work done by the gravitational force.

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An archer shoots an arrow at a target. The arrow begins at the same height as the target. Which statement describes how the archer should aim the arrow

Answers

In order to hit the target, the archer should aim the arrow so that it follows a parabolic trajectory.

The archer should aim the arrow slightly higher than the target, so that the arrow will arc downward and reach the target. Additionally, the archer should take into account other factors such as wind speed and direction, as these can affect the trajectory of the arrow.

The parabolic trajectory is a curve created when an object is thrown or shot in the air at an angle, then follows the path of a parabola. The parabolic trajectory allows for the object to travel in an arc and reach a certain distance, such as a target.

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