If a car travels 10 km north and then 10 km west, what is the MAGNITUDE of
displacement?

Answers

Answer 1

Answer:

The magnitude of the displacement is  \(H = 14.14 \ km\)

Explanation:

From the question we are told that

  The distance of the car to north is  d =  10 km

   The distance of car to the west is  w =  - 10 \  km

The negative sign is because the direction is  west

Generally applying Pythagoras theorem , the displacement is  

         \(H = \sqrt{d^2 + w^2}\)

=>      \(H = \sqrt{(10)^2 + (-10)^2}\)

=>     \(H = 14.14 \ km\)


Related Questions

a boy whose mass is 40kg runs up a flight of 30 step each 150 mm in 60 second find the averse power develop expansion explain the anomalous of two of water​

Answers

The average power developed by the boy during the climb is approximately 29.4 W.

What is power?

In physics, the amount of energy transferred or converted per unit time is called power.

total height = number of steps x height of each step

total height = 30 x 0.15 m = 4.5 m

Given, time = 60 s

As power = work done / time

work done = force x distance

force = mass x gravity

mass is boy's mass (40 kg) and gravity is acceleration due to gravity (9.81 m/s²).

force = 40 kg x 9.81 m/s² = 392.4 N

The distance that the boy moves is equal to the total height that he has climbed: distance = total height = 4.5 m

work done = force x distance

work done = 392.4 N x 4.5 m = 1765.8 J

power = work done / time

power = 1765.8 J / 60 s

power ≈ 29.4 W

Therefore, the average power developed by the boy during the climb is approximately 29.4 W.

As for the anomalous behavior of water, water has a higher boiling point and melting point as compared to other substances with similar molecular weight. This is due to the strong hydrogen bonding between water molecules, which requires more energy to break the bonds and change the state of water from solid to liquid to gas.

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A ball is launched from a slingshot. As the ball travels along its trajectory, what force(s) are acting on it? Select all that apply.
Group of answer choices

Answers

Force of air and gravitational force are acting on the ball when launched from the slingshot.

When a ball is launched from a slingshot, during its travel force of air as well as gravitational force are acting on the ball because there is air which moves opposite to the motion of a ball whereas the force of gravity attracts the ball downward.

The force of air slows down the motion of the ball while on the other hand, the force of gravity brings the ball to the ground due to attraction. If these two forces are not present then the ball continues its motion forever so we can conclude that force of air and force of gravity are acting on the ball when launched from the slingshot.

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Anna Litical analyzes the force between a planet and its moon, varying the mass of
the moon and the distance between the moon and the planet. Her data is shown
below. Which force ranking is consistant with Anna's data?
Trial Mmoon (kg)
1
6 x 1022
2
6 x 1022
3
3 x 1022
d (km)
3500
7000
7000
Trial 3 is the largest, trial 1 is the smallest
Trial 3 is the largest, trial 2 is the smallest
O Trial 1 is the largest, trial 3 is the smallest
Trial 1 is the largest, trial 2 is the smallest

Anna Litical analyzes the force between a planet and its moon, varying the mass ofthe moon and the distance

Answers

Answer:

Trial 1 is the largest, trial 3 is the smallest

Explanation:

Given:

Trial 1

M₁ = 6·10²² kg

d₁ = 3 500 km = 3.5·10⁶ м

Trial  2

M₂ = 6·10²² kg

d₂ = 7 000 km = 7·10⁶ м

Trial  3

M₃ = 3·10²² kg

d₃ = 7 000 km = 7·10⁶ м

___________

F - ?

Gravitational force:

F₁ = G·m·M₁ / d₁² = m·6.67·10⁻¹¹·6·10²² / (3.5·10⁶)² = 0.37·m  (N)

F₂ = G·m·M₂ / d₂² = m·6.67·10⁻¹¹·6·10²² / (7·10⁶)² = 0.08·m  (N)

F₃ = G·m·M₃ / d₃² = m·6.67·10⁻¹¹·3·10²² / (7·10⁶)² = 0.04·m  (N)

Trial 1 is the largest, trial 3 is the smallest

What is the type of radioactive decay represented by the equation above? A. Gamma B. Fusion C. Alpha D. Fission 40. Alberta uses clean coal technology. This means that the coal has a lower i content than coal in other parts of Canada, which results in reduced ii The statement above is completed correctly by the information in row olla sdf to ridW Row i A. sulfur greenhouse gas emissions acid deposition sulfur carbon greenhouse gas emissions acid deposition carbon B. C. D. 29. Which of the following graphs depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth? A. Field Strength (N/kg) C. Field Strength (N/kg) Mass (kg) Mass (kg) B. Field Strength (N/kg) D. Field Strength (N/kg) Mass (kg) CADLC 30. Which of the following sequences of colours represents the changing temperatu from the surface to the atmosphere of the sun? a A. Red, orange, yellow, blue B. Yellow, red, orange, blue C. Orange, yellow, blue, red D. Blue, yellow, orange, red 1. When a star undergoes a blue shift, the star is A. moving away from an observer B. moving towards an observer C. moving parallel to an observer D. stationary Mass (kg)

Answers

The sun is Yellow, red, orange, and blue. Therefore option B is correct.

The star is moving toward an observer. Therefore option B is correct.

39. The type of radioactive decay represented by the equation provided Gamma. Therefore option A is correct.

40. The statement is completed correctly by the information which states that the coal in Alberta has a lower carbon content than coal in other parts of Canada, resulting in reduced greenhouse gas emissions.

29. graph B depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth.

30. The correct sequence of colors representing the changing temperature from the surface to the atmosphere of the sun is Yellow, red, orange, and blue. Therefore option B is correct.

1. When a star undergoes a blue shift, it indicates that the star is moving toward an observer. Therefore option B is correct.

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A sound wave has a wavelength of 0.450 meters if it’s speed in cold air is 330 meters per second what is the wave’s frequency

Answers

Answer:

733.3Hz

Explanation:

V=fx

where V is velocity of sound wave ; 330m/s

f is frequency of sound wave ; unknown

x is wavelength of sound wave; 0.450m

substituting the values

V=fx

330=0.450f

f=733.3

how long did it take the flag to rotate once in a full circle

Answers

Answer:

360 degrees is one full rotation starting at zero

it take 2 s  to the flag to rotate once in a full circle  with 3 rad/s of angular velocity.

What is Angular velocity and acceleration ?

Angular velocity is "rate of change of angular displacement with respect to time". i.e. ω= dθ/dt. it is also defined as angular displacement over time. i.e. ω = angular displacement/Time.

Angular velocity shows how much angle can be covered in unit time. It's SI unit rad/s.

Angular acceleration is rate of change of Angular velocity with respect to time.

i.e. α = dω/dt if an object changes its angular velocity in short time, we can say that it has greater angular acceleration. It is expressed in rad/s².

In this problem we have to calculate time, but the angular velocity id not given.

Consider the angular velocity is 3 rad/s.

Given,

Angular displacement θ = 2π

angular velocity ω = 3 rad/s

Time t = ?

Time = θ/ω

Time = 2π/3 rad/s = 2 s

Hence the answer is 2s.

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What is the net force on a 4,000-kg car
that doubles its velocity from 15 m/s west
to 30 m/s west over 10 seconds?

Answers

Answer:

6000 N toward west

Explanation:

F = ma

a = 30-15/10 = 1.5 m/s^2 towards west

m = 4000 kg

F = 4000 x 1.5 = 6000 N towards west

Flyer Company has provided the following information prior to any year-end bad debt adjustment: Cash sales, $167,000 Credit sales, $467,000 Selling and administrative expenses, $127,000 Sales returns and allowances, $47,000 Gross profit, $507,000 Accounts receivable, $275,000 Sales discounts, $31,000 Allowance for doubtful accounts credit balance, $2,900 Flyer prepares an aging of accounts receivable and the result shows that 3% of accounts receivable is estimated to be uncollectible. What is the balance in the allowance for doubtful accounts after bad debt expense is recorded

Answers

The balance in the allowance for doubtful accounts after recording the bad debt expense would be $11,150.

To calculate the balance in the allowance for doubtful accounts after recording the bad debt expense, we need to determine the amount of the bad debt expense and adjust the allowance accordingly.

Given:

Accounts receivable: $275,000

Estimated uncollectible percentage: 3%

Step 1: Calculate the bad debt expense

Bad debt expense = Accounts receivable * Estimated uncollectible percentage

Bad debt expense = $275,000 * 0.03

Bad debt expense = $8,250

Step 2: Adjust the allowance for doubtful accounts

The current credit balance in the allowance for doubtful accounts is $2,900.

New balance in the allowance for doubtful accounts = Previous balance + Bad debt expense

New balance in the allowance for doubtful accounts = $2,900 + $8,250

New balance in the allowance for doubtful accounts = $11,150

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TRUE OR FALSE!!!!!

PLEASE HELP


Igneous rock is formed by volcanoes releasing magma from the mantle, the rock cools and piles up forming a mountain. Rivers direct water to cool magma underground forming metamorphic rock under lake beds.

Answers

Answer:

true

Explanation:

this is true, igneous rocks are formed from molten lava when it cools

Answer: True

Explanation:

A student clicks the mouse at time intervals of 1.60, 2.10, 2.40, 1.90 what is the standard deviation of this dataset.
A. 0.22
B. 0.25
C. 0.29
D. 0.58

Answers

i hope this helps you
and stay safe
A student clicks the mouse at time intervals of 1.60, 2.10, 2.40, 1.90 what is the standard deviation

This life net is shown here hanging on a wall, but it is used by firefighters when a victim is trapped on an upper floor and cannot navigate a stairwell safely in a burning building. Evaluate this device and select ALL the statements that describe how this device works to safely allow victims to evade a fire. A) The life net provides a large surface area upon which the victim can aim and land. B) The life net decreases the force with which the person eventually lands on the grand. C) The life net acts like a trampoline, increasing the time that the momentum is changing. D) The life net returns the energy to the body of the victim upon the impact with the object. E) The life net decreases the time that it takes to reach the ground when jumping from a higher elevation.

Answers

The life net is used to rescue victims from a high rise building during a fire outbreak.

What is a life net?

The life net is a net that is commonly used by fire fighters to catch people as they jump out of a building that is on fire. It is part of the rescue operation of fire fighters. It decreases the momentum change as the person lands.

The following are the statements that describe how this device works to safely allow victims to evade a fire;

The life net provides a large surface area upon which the victim can aim and land.The life net decreases the force with which the person eventually lands on the grand.The life net decreases the time that it takes to reach the ground when jumping from a higher elevation.

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By what factor must you increase the force you exert on the rope to cause the speed to increase by a factor of 1.70?

Answers

1.30 increases the force you exert on the rope to cause the speed to increase by a factor of 1.70.

What is force?

Force is a push or pull upon an object resulting from the object's interaction with another object. Every force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

The relationship between the force applied to a rope, its mass, and the resulting acceleration is described by Newton's second law of motion.

F = m * a.

If we have an initial force F1 that causes an object of mass m to have an initial acceleration a1, and we increase the force to F2, the new acceleration will be a2. We can use this equation to find the factor by which we need to increase the force in order to cause the speed to increase by a factor of 1.70.

F2 = m * a2

F2 = m * a1 * √(1.70)

F2 = F1 * √(1.70)

So, to increase the speed by a factor of 1.70, you must increase the force you exert on the rope by the square root of 1.70, or about 1.30.

Therefore, 1.30 increases the force you exert on the rope.

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A pair of closely spaced slits is illuminated with 576.0 nm light in a Young's double-slit experiment.
During the experiment, one of the two slits is covered by an ultra-thin diamond plate with an index of refraction, n = 2.417.
What is the minimum thickness of the diamond plate that produces a dark fringe at the center of the viewing screen?

Answers

In a Young's double-slit experiment, when one of the two slits is covered by an ultra-thin diamond plate with an index of refraction of 2.417.

The minimum thickness required to produce a dark fringe at the center of the viewing screen is approximately 145.7 nm.

In the double-slit experiment, the interference pattern is formed by the superposition of light waves from the two slits. The condition for a dark fringe at the center of the pattern is that the path difference between the waves from the two slits is equal to an odd multiple of half the wavelength.

To calculate the minimum thickness of the diamond plate, we need to consider the phase shift introduced by the plate. The phase shift is given by δ = 2π(d/λ)(n - 1), where d is the thickness of the plate, λ is the wavelength of light, and n is the index of refraction.

For a dark fringe at the center, the path difference should be an odd multiple of half the wavelength, which means the phase shift should be (2m + 1)π, where m is an integer.

Setting the phase shift equal to (2m + 1)π and solving for the thickness of the plate, we get d = [(2m + 1)λ/(2π)](n - 1).

Substituting the given values of λ = 576.0 nm and n = 2.417, and choosing m = 0 to get the minimum thickness, we find d ≈ (576.0 nm/(2π))(2.417 - 1) ≈ 145.7 nm.

Therefore, the minimum thickness of the diamond plate that produces a dark fringe at the center of the viewing screen is approximately 145.7nm.

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A force compresses a bone by 1.0 mm. A second bone has the same cross-sectional area but twice the length as the first. By how much would the same force compress this second bone? 0.50 mm 0 1.0 mm 2.0 mm 4.0 mm 8.0 mm

Answers

The compressibility of a bone is dependent on its material properties and geometry. If the first bone was compressed by 1.0 mm, the second bone will be compressed by 2.0 mm. Answer is 2.0 mm.

Since the second bone has the same cross-sectional area but twice the length as the first, it has twice the volume. Therefore, it would be expected to compress twice as much as the first bone, or 2.0 mm.
Hi! When considering the compression of a bone, we can use Hooke's Law, which states that the deformation (compression) is directly proportional to the applied force and inversely proportional to the material's stiffness.

For the second bone with twice the length, the same force will cause a greater deformation since the stiffness will be lower. Given that the cross-sectional area is the same, the second bone will be compressed by twice the amount of the first bone.

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An airplane travels for 2.5 hours at an average rate
of 130 miles per hour. Use the distance formula, d=rt, to find how
far the plane travels.

Answers

The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.

To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.

Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.

Using the formula, we can calculate the distance traveled as follows:

d = rt

d = 130 mph × 2.5 hours

Multiplying the rate (130 mph) by the time (2.5 hours) gives us:

d = 325 miles

Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.

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Is silicone a better conductor then silver

Answers

Answer: Silicon is better

Hope it helps!!

please help and thanks

please help and thanks

Answers

Answer:

the first on the left goes with the 3rd on the right

second left last right

3rd goes with 1st

4th goes with 5th

5th goes with 4th

and last but not least 6th goes with the second

Explanation:

if im correct mark brainliest if im wrong leave a comment.

12 1 point question at position 12 find the parallel line segments in the diagram and write a mathematical statement showing the parallel line segments.

Answers

The parallel line segments are ΔABC ~ ΔAED

Solution:

Parallel line segments: BC/ED

Similar triangles: ΔАВС ~ΔAED

Reason for Similar triangles

In ΔABC and ΔAED, we have

<A= <A (common)

m <ABC = M <AED (Corresponding Angles)

M<ACB = M<ADE (corresponding Angles)

= ΔABC ~ ΔAED

Parallel lines or parallel line segments are always them. They never meet at an equal distance from each other. edge. A table or book is a parallel segment. If a line crosses two sides of a triangle and bisects them equally, the line must be parallel to the third side of the triangle.

Parallel lines are lines that do not intersect or intersect at any point in the plane. They are always parallel and at the same distance from each other. Parallel lines are lines that do not intersect. It can be said that parallel lines meet at infinity. If the slopes are the same and the y-intercepts are different.

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Which of Newton's laws of motion describes the motion of an object that has a net
force of ON?

Answers

Newton's first and second laws of motion both do, but I think the one you're looking for is: The First Law of Motion.  That description is a little more direct.

It says that if an object is not acted on by a net external force, then it continues in "constant, uniform motion".

Marcus wants to test the effect of gravity on objects with different masses. He drops two footballs from a first-floor window, a second-floor window, and a third-floor window. In each case, he times how long it takes the footballs to reach the ground. What is wrong with his experiment’s design?

A.) The windows are not high enough to show significant differences in drop times.

B.) The drops are not repeated.

C.) It does not include objects with different shapes.




D.) It does not include objects with different masses.

Answers

Answer: (D.) It does not include object with different masses

Explanation:

It does not include objects with different masses. Therefore, option D is correct.

What is gravity?

The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity. A universal, non-contact force, gravity. The gravitational pull of the Earth keeps everything on its surface.

All objects with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature. If things of different masses are dropped from the same height, they will still impact the ground at the same time because Earth provides everything with the exact same acceleration.

One thing that is wrong about Marcus' experiment is that it does not include objects with different masses. Therefore, option D is correct.

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The conductance of a wire varies directly as the square of the wire's diameter and inversely as its
length. Fifty meters of wire with diameter 2 mm has conductance 0.12 mho (unit of conductance).
If a wire of the same material has length 75 m and diameter 2.5 mm, what is its conductance?

Answers

Since it varies directly with the square of the wire's diameter and inversely with wire length, the conductance of a wire is 0.15 mho.

Does a wire's electrical resistance change inversely with its square of diameter and directly with its length?

A wire's electrical resistance varies inversely as the square of its diameter and directly as its length. A wire with a diameter of 1/4 inch and a length of 200 inches has a 20 ohm resistance.

Let L be the wire's length, d its diameter, and C its conductance be the parameters.

Based on the facts provided, we can:

C ∝ d² (conductance varies directly as the square of the diameter)

C ∝ 1/L (conductance varies inversely as the length)

Combining these two proportionalities, we get: C ∝ d²/L

This connection can be used to find a solution to the issue. Using the numbers for the 50 m wire, we can first calculate the proportionality constant as follows:

C = k(d²/L)

0.12 = k(2²/50)

k = 0.12*50/4 = 1.5

So, using this value of k, we can determine the conductance of a 75 m wire with a 2.5 mm diameter:

C = k(d²/L)

C = 1.5*(2.5²/75)

C = 0.15 mho

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wooden block has a mass of 0.2 kg, has a specific heat of 710 J/(kg°C), and is a temperature of 20.0°C.
What is the block’s final temperature if its thermal energy increases by 2130 J?

Answers

Answer:

The final temperature is 35 °C.

Explanation:

Given that,

Mass of the wooden block, m = 0.2 kg

The specific heat of the block, c = 710 J/(kg°C)

Initial temperature, \(T_i=20^{\circ} C\)

Thermal energy, Q = 2130 J

We need to find the block's final temperature. The thermal energy due to change in temperature is given by :

\(Q=mc(T_f-T_i)\\\\T_i\ \text{is initial temperature}\\\\\dfrac{Q}{mc}=(T_f-T_i)\\\\T_f=\dfrac{Q}{mc}+T_i\\\\T_f=\dfrac{2130}{0.2\times 710 }+20\\\\T_f=35^{\circ} C\)

So, the final temperature is 35 °C.

Which term is used to describe the highest point on a transverse wave?

A. frequency

B. crest

C. trough

D. amplitude

Answers

Answer:

B. Crest

Explanation:

The high point of a transverse wave is a called the crest.

A 1200 kg car accelerates from rest for 45 meters in 6.0 seconds. What is the net force on the car?​

Answers

Answer:

Explanation:

At first, you have to get the acceleration value from the given data.

\(s=ut+\frac{1}{2}at^{2}\)

s= 45m

u= 0 m/s

t = 6s

a = ?

45 = 0+ 0.5 × a × 6²

45 = 0.5 × 36 × a

45 = 18a

a = 2.5 m/s²

Now, you can use F=ma equation

F = ?

m = 1200kg

a = 2.5 m/s²

F = 1200 × 2.5

F = 3000 N

How does sound travel? *
Air molecules move in a straight line in one direction.
Air molecules move in waves that sometimes bounce back.
Air molecules move in waves in one direction.
None of the above.

Answers

Answer: 2 i think

Explanation:

Answer:Im pretty sure its the second one because sound sometimes bounces back and that causes echo and it doesnt travel in one line or direction

Explanation:

Michael Jordan's vertical leap is reported to be 48 inches (1.22m). What is his take off speed?

Answers

Jordan's take-off speed is 4.9 ms.

Key Accomplishments Too many to list. See the link below. Bottom line Jordan's incredible 4-foot vertical jump puts the top of his head 6 inches above the edge and the soles of his feet higher than any of his other NBA cleats. rice field. I also ran 4.3 Forty. Don't let anyone tell you that someone was a better athlete than you are. MJ was not only a great goalscorer back then, but he was also a high-flying dunker.

He has only one player in NBA history called his Airness and that is Michael He Jordan. He currently owns his NBA vertical jump of 48 inches, the highest in the entire tournament. That number comes with a hang time on the edge of 0.92 seconds. The 30th-40th percentile is 15-16 inches. Above-average vertical jump, values ​​are in the 60th and 70th percentiles and range from 18 to 19 inches. A good rating is 20-21 inches, which corresponds to the 80-90th percentile.

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is it possible to make your lifetime displacement zero, if so where would you go?

Answers

Answer:

Yes

Explanation:

Displacement is the distance from the starting point to the end point. If you live and die at the same place, you will have 0m as your displacement.

The speed of Halley's Comet, while traveling in its elliptical orbit around the Sun,
a. is constant.
b. increases as it nears the Sun.
c. decreases as it nears the Sun.
d. is zero at two points in the orbit.

Answers

The correct answer is b. The speed of Halley's Comet increases as it nears the Sun.

This is due to the gravitational pull of the Sun, which accelerates the comet as it gets closer. The fastest point of the comet's orbit is at its closest approach to the Sun, known as perihelion. At this point, the comet can reach speeds of up to 70 km/s. However, as the comet moves away from the Sun, its speed decreases again. The slowest point of the orbit is at its furthest distance from the Sun, known as aphelion. At this point, the comet's speed can drop to around 11 km/s. So, the speed of Halley's Comet is not constant, but varies depending on its position in its elliptical orbit around the Sun.

Halley's Comet follows an elliptical orbit around the Sun, with the Sun located at one of the foci of the ellipse. According to Kepler's laws of planetary motion, a planet or a comet moves faster when it is closer to the Sun and slower when it is farther away. This is because the Sun's gravity is stronger when the comet is closer, and weaker when it is farther away.

Therefore, as Halley's Comet approaches the Sun in its elliptical orbit, it experiences a stronger gravitational pull, which causes its speed to increase. Conversely, as it moves away from the Sun, the gravitational pull weakens, causing its speed to decrease.

Hence, the speed of Halley's Comet is not constant, but varies throughout its orbit, with the highest speed being reached at the closest point to the Sun, known as perihelion, and the lowest speed being reached at the farthest point from the Sun, known as aphelion.

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NOW HELP!!

Lightning is a dramatic example of an electric discharge. Although the process is not fully understood by scientists, one theory suggests that charging by friction and induction are involved. IN YOUR OWN WORDS, explain how charging by friction and induction may be involved in the formation of lightning.

Answers

Answer:

Water droplets could obtain charges thru contact with other drops.

Then if two similar drops (both positively charged) came in contact

charge could be transferred because one side of the drop would be positive and one side of the other would be negative by induction.

Several Physics Labs have built experiments called "Kelvins Thunderstorm"

where objects found in the home could be used to build a charge generator that can generate several thousand volts from falling water droplets.

Lightning usually occurs because of the very large potential that can build

because of charge differences between overhead clouds and the induced charge that will then follow in the ground. Mountain climbers know that it's time to look for safer ground when sparks start to jump from the ropes.

If a firefighter dropped a person onto the safety net, and right
before the person hit the net they had a velocity of 12 m/s and
1800 J of kinetic energy, then what was the mass of the
person?

Answers

The kinetic energy of an object is half of the product of mass and square of velocity. Then, for a person with a kinetic energy of 1800 J and velocity of 12 m/s is 25 kg.

What is kinetic energy ?

Kinetic energy of an object is generated by virtue of its motion. It is related to the mass and velocity by the expression as follows:

Ke = 1/2 m v².

Thus, as the mass or velocity increases, kinetic energy increases.

Given velocity of the person = 12 m/s

kinetic energy = 1800 J

1/2 m v² = 1800 J

The mass of the person can be then calculated as follows:

m = 2 Ke/v²

m = 1800 J × 2 / (12 m/s)²

m = 25 Kg.

Therefore, the mass of the person is 25 Kg.

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Find the length of the third side. If necessary. Write in simplest radical form (9.7 x 10^6) + (8.3 x 10^5)= Which aspect of membranes are proteins not important for? group of answer choices identity signalling function compartment-making permeability According to the MLB, all baseballs must weigh between 5 and 5.25 ounces. A factory produces baseballs whose weights are approximately normally distributed, with mean 5.11 ounces and standard deviation 0.062 ounces.a. What proportion of the baseballs produced are considered too light? b. What proportion of the baseballs produced are considered too heavy? c. What proportion of the baseballs produced are used? d. If 8000 baseballs are ordered, how many should the factory produce knowing that some will need to be discarded? who are the two men credited with the development and advocating for the use of the scientific method what is the z- component of the electric field (in n/c) at the point ( 4.00, -1.00, 5.00 ) meters if the electric potential in the region is given by v Choose the expression that represents a quadratic expression. 12x4 2x3 5x2 9x 6 2x3 5x2 9x 6 12x2 8x 1 8x 1. What creates a na concentration gradient in the proximal convoluted tubule? A sphere has a radius of 7.5cmto the nearest centimeter (cm) what is the volume of the sphere? Read the excerpt from the play Apple Picking:Characters:- Mischa- Luke- Mom- DadScene OneOn an overcast autumn afternoon in the middle of a field with many apple trees. A brother and a sister have a ladder up against an apple tree. One is picking apples and placing them in a sack tied around her waist. The other is holding the ladder steady.Mischa: (standing on the ladder and looking at an apple) I'm not so sure about these. They have a ton of spots and are not quite ripe.Luke: That's alright, we're just making a pie for Sunday dinner anyway. No one will see the spots, and we can add sugar to sweeten them up.Mischa: (Nodding in approval) Yeah, I guess you're right. Mom always likes her pie apples to be a little firm anyways.Suddenly, the wind begins to blow strongly making the ladder tip back and forth slightly.Mischa: (With an alarmed look on her face.) What's going on? There isn't supposed to be a storm today! We'll never make it back to our house before it hits!Luke: (Holding onto the ladder as hard as he can) You need to come down! I can't hold the ladder much longer!Mischa carefully but swiftly climbs down the ladder while the wind is still blowing. Luke holds on to the ladder as it sways back and forth. Mischa makes it to the bottom. They both look toward dark clouds rolling in quickly with thunder and lightning.Luke: (Yelling over the storm) We'd better find some shelter! (Pointing toward a rundown old farmhouse.) I think there's an old farm house that way!Mischa: (Also yelling) You lead the way. I'm too scared!Luke: (Grabbing her by the hand) It's going to be okay! Run with me!Both children run to the old farmhouse holding each other's hand. When they make it there, they enter through an open window.Scene TwoIn the kitchen of the old farmhouse. There is an old dusty table and chairs, but everything else including the stove is gone. The windows are broken, the curtains tattered, and the wallpaper peeling. The wind is picking up and blowing through. The children are calming down. Mischa looks out the broken window where a large dead tree sits close to the house, while Luke sits at the old table. The sack of apples sits on the table.Mischa: It's almost here Luke. The branches on the trees are swaying all over the place.Luke: (Looking at the old tree through the window) Come away from the window Mischa. It's a really bad storm, that's for sure.Mischa: (sitting down in the chair opposite Luke.) I think it's a tornado.Luke: It's not a tornado, but those are some heavy winds.The wind picks up and the curtains sway violently. Something smacks up against the side of the house.Luke: What was that? It's picking up.Mischa: Where are Mom and Dad? Why aren't they here to help us?Luke: Never mind that. We need to worry about ourselves right now. I think we should go down to the ...Suddenly, a tree branch hits the window smashing it even more than it was. Luke and Mischa scream.Mischa: (Yelling) To the basement!The children run toward the basement when Mischa stops and turns back.Luke: (Still yelling) What are you doing? Come back!Mischa: (Still yelling) The apples! I need to grab the apples!Luke: Mischa no!Mischa runs to grab the apples. She gets a hold of the sack and turns around toward the basement again. As she gets to the basement door, the old large tree snaps, cracks, and falls through the kitchen wall. She is okay, but shaken.How does the structure in scene one complement the events in scene two?A. Scene one describes only two of the characters that will appear in the next scene. Nothing tells the reader about their relationship in scene one.B. Scene one describes the setting, introduces the characters, and introduces a storm that calms down in in the scene.C. The first scene describes the setting, introduces the characters, and introduces the storm that the characters will face in scene two.D. Scene one introduces the characters, and introduces the outdoor setting that the characters interact in throughout the play. gina visits her local farm to buy apples oranges to make a fruit salad. she has 10.00 to spend. 2. Explain with reference to context: A poet could not but be gay, In such a jocund company:I gazedand gazedbut little thoughtWhat wealth the show to me had brought:1. Whose jocund company is the poet referring to?2. What does show refer to?3. What does the poet mean when he uses the word wealthonly answer the third one pls answer i will mark youas brainlest a health care provider has prescribed oxygen to be delivered at 8 l/minute for a client who does not have a tracheostomy. which oxygen delivery device(s) will the nurse consider using? select all that apply. Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese cost $1.29. How many bagels can Nick buy? 2. I don 't understand why my grandpa always calls me a wise fool ; isnt that a ______?3. I'm worried about this week s assignment; we' re supposed to ______ The Gettysburg Address !4. Kim was _____ with fear when she saw the spider crawling up her leg.5. The magazine became a paragon of editorial excellence: it never contained errors.6. Mrs. Cobbs story about the girl with no shoes turned out to be a _______ about sharing. change f(x) = 40(0.96)x to an exponential function with base e. and approximate the decay rate of f. What is the slops of this line? Enter your answer as a fraction in simplest term in the box. The graph of a line on a coordinate plane has a slope of 12 and passes through the point (4,3). What equation describes the line? Rank these systems in order of decreasing entropy. Rank from highest to lowest entropy. To rank items as equivalent, overlap them. A) 1 mol carbon disulfide gas at 273k 40L B) 1 mol helium gas at 273K 40L C) 1/2 mol helium gas at 273k 20L D) 1/2 mol helium gas at 100K 20L E) 1 mol oxygen gas at 273K 40L F) 1 mol helium gas at 273K 20L G) 1/2 mol liquid helium at 100K Thank you! Can you also provide an explanation how to figure it out? How did President Lincoln want to handle the South's return to the Union?