8. (Inelastic) A 10,000 kg truck traveling at 4 m/s runs head-on into a stationary
Ford Pinto mass 1000 kg. How fast will the truck and Pinto be traveling as they
move down the street stuck together?
ans. 3.6 m/s

Answers

Answer 1

Answer:

Explanation:

Given:

m₁ = 10 000 kg

V₁ = 4 m/s

m₂ = 1 000 kg

V₂ = 0 m/s

____________

V - ?

The law of conservation of momentum in inelastic collision:

m₁·V₁ + m₂·V₂ = (m₁ + m₂)·V

V₂ = 0

m₁·V₁  = (m₁ + m₂)·V

V =  m₁·V₁ / (m₁ + m₂)

V = 10 000 · 4 / (10 000 + 1 000) ≈ 3,6 m/s


Related Questions

a. how long must a 0.60-mm-diameter aluminum wire be to have a 0.50 a current when connected to the terminals of a 1.5 v flashlight battery?

Answers

To learn the resistance, flashlight and terminal points.

What is flashlight?

A light bulb on a wire makes up a type of circuit that is a flashlight. Simply put, a light bulb converts the energy of moving (-) charges into light. The circuit is created by connecting the wire with the light bulb to the battery by depressing the flashlight's switch.

What is terminal?

A terminal is the place where a conductor from a part, device, or network ends. As the reusable interface to a conductor and a point where external circuits can be connected, an electrical connector at this endpoint is another type of terminal.

a)R = v/i = 1.5/0.5 = 3 ohm

R = rho*L/A

L = R*A/rho = 3*3.14*(0.0003)^2/2.8*10^-8 = 30.2 m

b)

R = 3/2 = 1.5 ohm

i = V/R = 1.5/1.5 = 1 A

so

resistance=1.5/0.54

=2.778 ohm.so,

2.778=(2.8*10^-8*l)/(0.25*3.142*(6*10^-4)^2)

=28.0558 m

b)resistance will become half=1.389 ohm

so current=1.5/1.389

=1.08 A

         

You need to get the resistance of the wire.

Then do V = I * R

In your book you should have a table that says how to calculate the resistance of a wire for that diameter, material, and length.

Then just plug in the values and solve for I.

1.5 = I * R

Therefore, the connecting terminals is 1.5v.

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Millikan and Harvey set out to measure-

Answers

Answer:

Explanation:

The oil drop experiment was carried out by Robert A. Millikan and Harvey Fletcher in 1909 to measure the elemental electric charge (electron charge).

an eccentric hollywood movie producer, vacationing in australia, goes to an observatory and offers to make a big donation if they can show him a place in the milky way galaxy where there are more than a million stars seen together. which object would satisfy his extravagant tastes?

Answers

The object that would satisfy his extravagant tastes, The globular cluster Omega Centauri.

When the core temperature reaches about 100 million degrees helium begins to fuse into carbon through a reaction known as the triple-alpha process, converting three helium nuclei into one carbon atom. This creates a lot of heat. Red giants are dying stars in the final stages of stellar evolution.

In about 5 billion years, our Sun will transform into a red giant and expand to engulf the inner planets, possibly Earth. Stars entering the red giant stage are notorious for their rapid loss of mass. As noted above, the upper layer's gravity weakens and can be ejected into space by violent events such as the initiation of a helium flash within the core.

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If B is added to A, under what condition does the resultant vector have a magnitude equal to A+B.​

Answers

If B is added to A and the resultant vector have a magnitude equal to A+B if the angle between vector A and b is zero or either magnitude of A or b is zero.

I A I = √ A . A

I B I= √ B . B

I A + B I = √ (A + B ) ( A + B )

I A + B I = √ AA + AB + BA + BB

I A + B I = √ I A I² + I B I² + 2 I A I I B I Cos θ   → ( 1 )

Given condition

I A + B I = I A I + I B I

I A + B I² = ( I A I + I B I )²

I A + B I² = I A I² + I B I² + 2 I A I I B I   → ( 2 )

Equating ( 1 ) and ( 2 ),

I A I² + I B I² + 2 I A I I B I Cos θ = I A I² + I B I² + 2 I A I I B I

2 I A I I B I Cos θ = 2 I A I I B I

I A I I B I ( cos θ - 1 ) = 0

So either,

I A I = 0

I B I = 0

cos θ - 1 = 0

cos θ = 1

θ = 0°

Therefore, if B is added to A and the resultant vector have a magnitude equal to A+B if the angle between vector A and B is zero or either magnitude of A or B is zero.

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two coils are placed close together in a physics lab to demonstrate faraday's law of induction. a current of 2.00 a in one is switched off in 1.50 ms, inducing a 7.00 v emf in the other. what is their mutual inductance (in mh)?

Answers

The index of refraction of the substance M = 0.45 mH. The refractive index n is the ratio of the speed of light c in a vacuum to the speed of light c' in a medium.

For the system described in the statement, the induced emf in both coils is given by. In other words, the induced emf in one coil is produced by the change in current in the other coil. It can be assumed that a current of 8.0 A belongs to the second coil and an induced emf of 3.00 V develops in the first coil. The current in the second coil turns off at 1.20 ms. Using the previous information, we know: Coil is 0.45mH.

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In an experiment, an animal was provided multiple strings, one of which would provide food when pulled. The animal pulled the strings until the food was obtained. What does this say about animal problem solving? The animal had no memory of previous attempts. The animal was unable to understand the task. The animal learned from previous experience. The animal had a moment of realization and solved the problem quickly.

Answers

From the experiment, we can be able to say that the animal learned from previous experience.

What is learning?

When we talk about learning, what we are talking about is the ability of a person to harness the past experiences and then bring it to bear on a current task. This means if an organism is said to be learning, then the organism that is in question would be able to gather the experiences of the past and then use it to make an intelligent decision in the future.

In this case, an animal was provided multiple strings, one of which would provide food when pulled. The animal pulled the strings until the food was obtained. This implies that the organism was able to learn from the variety of experiences that was provided to each by the pulling of the stings in the lever each time.

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Why is an understanding of thermal energy transfer important important when designing it in the efficient house

Answers

Answer:

Why Is Thermal Energy Important? Thermal energy offers us another source of power. Thermal energy is used in thermal power plants. Thermal energy can be efficiently stored and used as a backup power source during peak usage hours or seasonal weather power use increases.

Explanation:

A 0.25 kg baseball is headed towards the batter with a speed of 40 m/s in the positive direction. After being batted the ball heads in the opposite direction with a speed of 50 m/s. If the ball was in contact with the bat for 0.017 seconds, what was the magnitude and direction of the force acting on the ball? Express you answer rounded to the nearest 10th.

Answers

The Magnitude of ball is  =  1.3 K-N.

The direction of the ball is =  -1.3 K-N , here negative sign indicates the         opposite direction.

m=0.025 kg

Impulse(p)=change in momentum

Vf = -50

Vi = 40

P = m(Vf-Vi)

P =0.25(-50-40)

p = -22.5 N-sec

Average force (F) = impulse/time

F = -22.5/0.017

F =  - 1.3*10^3 N

        or

F = - 1.3 K-N

The magnitude of the ball is = 1.3 K-N

The direction of ball is  =  -1.3 K-N , here negitive sign indicates the opposite direction.

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How much force is needed to accelerate a 66 kg snowboarder at 2 m/sec2?
What is the mass of the snowboarder? __ kg
What is the acceleration of the snowboarder? __m/sec2
F = _ N

Answers

Answer:

Explanation:

Given:

m = 66 kg

a = 2 m/s²

___________

F - ?

F = m·a

F = 66·2 = 132 N

Salt water is more dense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of salt water displaced by the ship is.

Answers

To create a fluid weight equivalent to the weight of the object, less of a more dense fluid must be moved. The amount of displaced water won't be as great because the salt water is denser.

Freshwater is less dense than saltwater. More dense substance will be located below less dense material. When salt is dissolved in water, as it is in ocean water, the added mass of the dissolved salt increases the density of the water relative to that of the water without salt. Consequently, when the density of the fluid increases, upward Due to the increase in buoyant force, objects will float more easily in salt water. Seawater has a higher density and buoyancy than freshwater. Water that is pure is less dense.

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if the average book has a mass of 1.30 kg with a height of 18.0 cm , and an average shelf holds 25 books (standing vertically), how much work is required to fill all the shelves, assuming the books are all laying flat on the floor to start?

Answers

The work required to fill all the shelves is 1.96 × 10³ J

Work is the strength transferred to or from an object via the utility of pressure along a displacement. In its only form, for a steady force aligned with the direction of movement, it equals the made from the force strength and the space traveled.

Calculation:-

given,

mass of each book = 1.30 kg

height = 18 cm = 0.18 m

number of books = 25

potential energy = mgh

work required to fill is Wx = N.mg [ D + 1/2 h + (n-1)H]  

                                           = 1.96 × 10³ J

The definition of work in physics is famous for its dating to power – whenever work is executed, power is transferred. paintings are manufactured from the element of the force inside the path of the displacement and the significance of this displacement.

Work is defined as shifting strength into an item so that there may be some displacement. energy is described as the ability to do work. paintings carried out are usually identical. energy can be of various sorts which include kinetic and ability electricity.

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A pencil is 13. 5 centimeters long. If 1 centimeter = 0. 39 inch, what is the length of the pencil in feet, to the nearest hundredth?.

Answers

The length of the pencil in feet, to the nearest hundredth, is 0.443 feet.

A centimeter or centimeter is a unit of length within the worldwide gadget of devices, equal to one centesimal of a meter, centi being the SI prefix for an aspect of 1/100. The centimeter turned into the bottom unit of length within the now deprecated centimeter–gram–2nd gadget of units.

An inch is a unit of duration in the British imperial and the united states standard structures of size. it's far the same as one/36 yards or 1/12 of a foot. The foot, general symbol: ft, is a unit of the period within the British imperial and u.s. customary systems of dimension.

Calculation:-

1 cemtimeter = 0.393701 inch

13.5 centimeter = 5.32 inch

12 inch = 1 feet

5.32 inch = 1/12 × 5.32 feet

                  = 0.443 feet

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How are wavelength and amplitude alike? Please in a simple sentence.

Answers

Answer:

The amplitude of a wave is the height of a wave as measured from the highest point on the wave (peak or crest) to the lowest point on the wave (trough). Wavelength refers to the length of a wave from one peak to the next.

Explanation:

a proton and an electron are released from rest at the midpoint between the plates of a charged parallel plate capacitor. except for these particles, nothing else is between the plates. ignore the attraction between the proton and the electron, and decide which particle strikes a capacitor plate first. why?

Answers

There are no other particles between the plates besides these ones. Choose which particle impacts a capacitor plate first, disregarding the electron's attraction to the proton. At the plate first is the electron.

An electron is a negatively charged subatomic particle that can exist either free or bound to an atom. An atom has three main types of particles: protons, neutrons, and the electron that is attached to them.

An electron's negative charge is balanced out by the positive charge of a proton. When an atom has an equal number of protons and electrons, it is considered to be neutral. The electron differs from the other particles in a number of ways. They are much less massive, exist outside of the nucleus, and exhibit both wave- and particle-like characteristics. Since an electron is a fundamental particle

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a 75.0-kg ice skater moving at 10.5 m/s crashes into a stationary skater of equal mass. after the collision, the two skaters move as a unit at 5.25 m/s. suppose the average force a skater can experience without breaking a bone is 3,082 n. if the impact time is 0.115 s, does a bone break?

Answers

Average force skater had experienced without breaking a bone is 3,082 N. if the impact time is 0.115 s then the average force a skater experience is increased by 3423 N and yes, the bone breaks.

What is Average force?

The vector quantity of a force. It is a quantity with both magnitude and direction, hence. We must specify both the size and the direction of the force operating on an object in order to adequately understand it. The average force is force applied by an item travel over specific period of time at a given rate of speed, or velocity.

Given,

m₁ = 75 kg

u₁ = 10.5 m/s

V = 5.52 m/s

dt = 0.115 s

For moving skater,

Change in momentum, dp = m₁u₁ - m₁V

dp = 75 × 10.5 - 75 × 5.25

dp = 393.75

Now, average force, dp/dt = 393.75/ 0.115

dp/dt = 3423 N

For stationary skater,

Change in momentum, dp = m₂(u₁-V)

dp = 75 ×5.25

dp = 393.75

Now, average force, dp/dt = 393.75/ 0.115

dp/dt = 3423.91 N

∴ yes, the bone brakes

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How do you find kinetic energy with mass and speed in physics?.

Answers

The kinetic energy with mass and speed in physics K.E. = 1/2 m v².

If the mass is in kilograms and the velocity is in meters/second, then the kinetic energy is in kilograms - meters squared/second. Kinetic energy is proportional to the square of velocity, so doubling velocity quadruples kinetic energy. The energy transferred is called kinetic energy and depends on the mass and velocity achieved.

Kinetic energy is transferred between bodies and converted into other types of energy. Equations of motion are a set of equations that describe the motion of an object with constant acceleration. Equations of motion require knowledge of derivatives rates of change and integrals.

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wavelength of red light is 700 nanometers, and its frequency is 4.285 x 1014 hz. what is the speed of red light in m/s. (note: 1 nanometer is

Answers

Answer:

Speed = 3·10⁸ m/s

Explanation:

Given:

λ = 700 nm = 700·10⁻⁹ m

ν = 4.285·10¹⁴ Hz

_______________

V - ?

The speed of red light:

V = λ·ν

V = 700·10⁻⁹·4.285·10¹⁴ ≈ 3·10⁸ m/s

Henry was having glass of water with some ice cubes in it and kept it near a window for some time. After some time, the water became warm. What is this process called?.

Answers

The process where a glass of water with some ice cubes becomes warm due to being kept in the window for some time will be called as melting.

In the field of science, melting can be described as a process by which a solid substance is changed into a liquid substance due to thermal energy.

Ice cubes are solid substances of water that needs low temperatures. When ice cubes are kept by a window at room temperature, it changes into liquid water due to the process of melting because room temperature is not the cold temperature that the ice cubes require.

Hence, the process by which ice cubes are changed into liquid water by warming them near a window is melting.

Although a part of your question is missing, you might be referring to this question:

Henry was having glass of water with some ice cubes in it and kept it near a window for some time. After some time, the water became warm. What is this process called?

-Condensation

-Melting

-Freezing

-evaporation

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What is a consensus?
O A. An agreement that something is correct
B. A type of science that uses observation
C. A theory that uses math to make predictions
OD. A theory that will never be changed

Answers

A consensus is an agreement that something is correct ( A )

Option B is incorrect because a type of science that uses observation is called as Quantitative Observation. In this a scientist records the observations of an experiment and collects data. Option C is incorrect because a theory that uses math to make predictions is called as Predictive modeling.

Option D is incorrect because a theory that will never be changed is a fact. A fact is a theory that is known or proved to be true. Option A is correct because an agreement that something is correct is a consensus. The basic meaning of a consensus is a general agreement.

Therefore, the agreement that something is correct is a consensus

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From a height of 2.15 m above the floor of the basketball court, forward Paul
Pierce tosses a shot straight up next to the basketball hoop with a KE of 5.40 J.
If his regulation-size basketball has a mass of 0.600 kg, will his shot go as high
as the 3.04-m hoop? Use the law of conservation of energy.

Answers

The answer is yes if one uses the kinetic energy and potential energy formulas (PE = mgh and KE = (1/2)mv²) and knows that they are equal to one another (KE = PE). Greater than 3.04 m is 3.068 m.

What is kinetic energy?

The energy an object has as a result of motion is referred to as kinetic energy. In order to accelerate an object, we must apply force. In order to apply a force, we must work hard. The transfer of energy will cause the object to move at a new, constant speed once the work is done.

Heat energy is another name for thermal energy. A moving object has kinetic energy. Due to the fact that thermal energy is created by moving particles, it is a form of kinetic energy.

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What would happen to the gravitational force felt between two objects if the radius between them were doubled?.

Answers

When the radius between of two objects is increased by a factor of 2, the gravitational force is reduced by a factor of 4 and the radius is doubled.

Mass-containing objects are pulled toward one another by the gravitational force. We regularly think about the Earth's gravitational attraction. This force maintains your body's position on the ground. Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be drawn by stronger gravitational forces. As a result, as two objects' relative masses increase, so does their gravitational pull to one another.

The distance between a circle's centre and circumference is known as its radius. The diameter is always twice as large as the radius. Therefore, the diameter is multiplied by two to get the formula.

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What is the shape of the trajectory followed by a charged particle as it moves perpendicular to a uniform magnetic field?.

Answers

The circular path is the shape of a charged particle's trajectory when it travels perpendicular to the a uniform magnetic field.

What is a magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is moving through a magnetic field.

In a magnetic field, a charged particle travels along a curved path because the magnetic force is perpendicular to the direction of motion. The particle keeps moving along this curved path until it completes a full circle.

Hence, the shape of the trajectory is circular followed by a charged particle as it moves perpendicular to a uniform magnetic field.

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A myopic person sees that her contact lens prescription is –4. 00 d. What is her far point?.

Answers

This person has a contact lens prescription with a power of negative 4.00 diopters and their far point with the contact lenses will be infinity because that's the goal of the lenses is to create normal vision, which has a far point of infinity.

During normal vision, the retina receives a sharply focused image. Myopia, a nearsighted condition, causes distant objects to look hazy because the centre of focus is in front of the retina. Myopia, a disease that affects many people, causes near objects to appear clear while far distant objects to appear blurry.

When you criticise someone for being myopic, it's because you find them to be incapable of seeing that their actions could have unfavourable effects. [disapproval] The government still views spending with myopia. More Synonyms for myopia include narrow-minded, short-sighted, and unimaginative.

If the cornea, which is the transparent front surface of the eye, is overly curved or the eyeball is too long, myopia will result. As a result, distant objects appear blurry when light enters the eye.

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A water-skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. Describe the possible distances (in miles) that a beginner can travel in 45 minutes of practice time.

Answers

A water-skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. The possible distances (in miles) that a beginner can travel in 45 minutes of practice time will be < 13.5 miles

18 miles / hour = 18 / 60 = 0.3 miles / minute

distance = speed * time

              = 0.3  * 45 = 13.5 miles

The possible distances (in miles) that a beginner can travel in 45 minutes of practice time will be < 13.5 miles

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a 22.0 kg crate is initially moving with a velocity of 3.90 m/s in a direction 440 west of north. how much work must be done on the crate to change its velocity to 6.67 m/s in a direction 63.00 south of east? do not include units.

Answers

The crate needs to put in 1000.63 Joule of work in order to shift its velocity from 0 to 6.67 m/s in the direction of 63.00 south-east.

What work is being done?

We are aware that the definition of labor is the multiplication of the force operating in the direction of the displacement (d) and its component.

Given,

A 22 kg container is initially traveling 440 degrees west of north at a speed of 3.90 m/s.

the cosine formula was used to compute the outcome velocity.

where angle ∅ = 440 + 90 + 63 = 593°

v² = (3.90)²+(6.67)² - 2(3.9)(6.67) cos 593

v² = 59.6989 + 52.026 × 0.601

v² = 59.6989 + 31.2676

v² = 90.9665

Resultant velocity V = 9.5376

V = 9.53 m/s

To calculate the much work that must be done on the crate to change its velocity to 6.67 m/s in a direction 63.0° south of east, Because energy and labor are equivalent, the kinetic energy formula is used.

W = 1/2mv²

Where,

m = 22 kg and

v = resultant velocity = 9.53 m/s

W = 0.5 x 22 x (9.53)²

W = 1000.63 Joule

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What is the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min?.

Answers

Using the concepts of work, we got that 7000 joules is the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min.

We know very well that if we want to move any object by a certain distance then we need to do some work so that it can moves against the frictional force.

We have

The mass of an object = 100 kg

But, Force = mass × g (taking g as 10 N/kg)

Then, Force = 1000 N

Assuming we are given the distance moved by the object as 7 m

We can calculate the work done by the force

We need to know that;

Work done = Force × distance

Therefore;

Work done = 1000 N × 7 m

                  = 7000 Joules(since 1Nm=1 Joule)

Hence, the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min is 7000 Joules.

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(Complete question) is:

what is the work done by a force equivalent to the weight of 100kg that moves an object in 7 minutes?​

if the raindrop comes to rest in 0.37 ms , what is the magnitude of the average force of the impact?

Answers

a) The magnitude of the impulse delivered to your roof is 1.13 × 10^-4 Kg m / s

b) The magnitude of the average force of the impact is 0.37 N.

a) Impulse is defined as the change in moment of object . The total impulse on an object is measured from the product mass of the object and the total change in velocity of the object. Impulse is a vector quentity so it has both magnitude as well as direction (negative or positive sign). Units of impluse in S.I system , Newton seconds, or N∗s.

Mathematically , J =v

v --> change in velocity which is equal to final velocity of object and substracting staring velocity.

m---> mass of object

We have, mass of raindrop (m) = 0.014 g = 0.014×10⁻³kg

the speed of raindrop (v) = 8.1 m/s

putting all values in above formula we get,

J = mv = 0.014×10⁻³ × 8.1 = 0.013 × 10⁻³ kg m/s

thus, value of impluse is 0.013×10⁻³3 kg m/s

b) Average force of impact is defind as the product of mass of object by the average velocity of object over a definite time.

According to Newton's Second law of motion,

force (F) = m× a

where m---> mass of object

a----> acceleration which is equal to change in velocity with respect to time.

Now, we have given m = 0.014 ×10⁻³3 kg

time = 0.37 ms

acceleration (a) = v/t = ( 8.1 m/s )/ 0.37 ms

putting all values in above formula we get,

force = (0.014×10⁻³kg × 8.1 m/s )/0.37 ×10⁻³ s

= 0.306N ~ 0.31N

Thus, magnitude of average force of impact is 0.31 N .

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#Complete question:

A large raindrop - the type that lands with a definite splat - has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s.

Part A) What is the magnitude of the impulse delivered to your roof? Express your answer with the appropriate units.

Part B) If the raindrop comes to rest in 0.37 ms, what is the magnitude of the average force of the impact? Express your answer with the appropriate units.

a swimmer completes 10 laps in a 50 m swimmings pool, what were thelinear disatance and linear displacemetn

Answers

Answer:

Explanation:

Linear disatance:

D = 50·10 = 500 m

The linear movement is zero because the start point and finish point are the same

Do the number of each period repreent the number of energy level that have electron in them for each element?

Answers

A period is a horizontal row of the periodic table and each period number indicates the orbital number of the element in that row.

A period in the periodic table is a series of chemical elements. All elements in a row have the same number of electron shells. Each next element in the period has one more proton and less metallicity than the previous element. Rows of periods of the periodic table. Elements in the same row are in the same period. Periods are numbered from top to bottom.

The periodic number is the same as the number of occupied electron shells. The number n of periods in the periodic table is the same as the number of highest principal energy levels of atoms in that row. This is the main energy level occupied by its valence electrons. The period number is the same as the number of electron energy levels of the atom in the period.

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four negative charges of a magnitude of -6 nc each form a square, 12 cm on a side. find the magnitude of electric field at the center of the square.

Answers

If four negative charges of a magnitude of -6 nc each form a square, 12 cm on a side, the magnitude of electric field at the center of the square will be zero.

E = F / q

E = Electric field intensity

F = Force

q = Charge

They will all exert equal and opposite forces at the center of the square. So the diagonal forces will be equal in magnitude and opposite direction.

Let the four forces be Fa, Fb, Fc and Fd.

E = [ Fa + ( - Fb ) + Fc + ( - Fd ) ] / q

I Fa I = I Fb I = I Fc I = I Fd I

E = 0

Therefore, the magnitude of electric field at the center of the square will be zero.

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