AP Physics -An object is thrown downward with an initial speed of 20. m/s on Earth. What is the:
a) acceleration of the object
b) displacement after 4 seconds.
c) time required to reach a speed of 50. m/s.
d) time required to fall 300. M (Hint: factor the quadratic).
e) speed after falling 100. m.

Answers

Answer 1

Answer:

Explanation:

Given:

V₀ = 20 m/s

t = 4 s

V = 50 m/s

H₁ = 300 m

H₂ = 100 m

______________

a) Acceleration of the object:

g = 9.8 m/s²

b) Displacement after 4 seconds.

H = V₀*t₁ + g*t²/2  = 20*4 + 9.8*4² / 2 ≈ 160 m

c) Time required to reach a speed of 50 m/s.

t =  (V - V₀) / g = (50 - 20) / 9.8 ≈ 3 s

d) Time required to fall 300 m.

H₁ = V₀*t + g*t²/2

300 = 20*t + 9.8*t² / 2

4.9*t² + 20*t - 300 = 0

t ≈  6 s

e) Speed after falling 100 m.

Н₂ = (V₂² - V₀²) / (2*g)

V₂² = V₀² + 2*g*H

V₂ = √ (V₀² + 2*g*H) = √ (20² + 2*9.8*100) ≈ 49  m/s


Related Questions

a ice block floating in a river is pushed through a displacement along a straight embankment by rushing water, which exerts a force on the block. how much work does the force do on the block during the displacement?

Answers

The amount of work that the force do on the block during the displacement is 4950 Joules.

The work done by a body is given by

W = F.S

Where,

W is the work done,

F is the force applied,

S is the displacement.

Work done is a scalar quantity that is found by the dot product of the force and the displacement of the body.

The force applied by the rushing water is given to be exerted is (210N)i-(150N)j

The displacement is given to be (15m)I - (12m)j.

Now, putting all the values,

W = (210i-150j)(15i-12j)

W = 4950 Joules.

So, the work done by the force to move the ice block is 4950 Joules.

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Complete question - A floating ice block is pushed through a displacement vector d= (15 m)i - (12 m)j along a straight embankment by rushing water, which exerts a force vector F = (210 N)i - (150 N)j on the block. How much work does the force do on the block during the displacement?

How do we know light is a kind of wave?

Answers

A wave is a disturbance that travels from one point to another in a medium. This disturbance can also be referred to as variation in energy. Light consists of energy derived from oscillating magnetic and electric fields. As light moves, it carries this energy from the source to another location. Also, waves have frequency and wavelength. Given these characteristics of light, we can conclude that

light is a kind of wave

What observational evidence supports the conclusion that most of the mass of the milky way is in the form of dark matter?.

Answers

The orbital speeds of stars far from the galactic center are surprisingly high.

What is milky way ?

The galaxy that contains our Solar System is known as the Milky Way[b], and its name refers to how it appears to us on Earth: a hazy strip of light in the night sky made up of stars that are too close together to be seen individually. The name Milky Way comes from the Latin route lactea, which is a translation of the Greek o (galaktikos kklos), which means "milky circle"[18][19][20]. From Earth, the Milky Way looks as a band because its disk-shaped structure is seen from the inside. Most astronomers believed that the Milky Way held all of the universe's stars until the early 1920s.

The orbital speeds of stars and gas clouds far from the galactic center are surprisingly high suggesting that these stars and gas clouds are feeling gravitational effects

The name of the galaxy that contains our Solar System, the Milky Way[b], refers to how it appears to us on Earth: a hazy strip of light visible in the night sky made up of stars that are too dim to be seen individually. The phrase "Milky Way" is a translation of the Latin route lactea, from the Greek o (galaktikos kklos), which means "milky circle"[18][19][20]. The Milky Way is seen as a band from Earth because its disk-shaped structure is seen from the inside. In 1610, Galileo Galilei used his telescope to break the band of light into individual stars for the first time. The majority of astronomers believed that the Milky Way held every star in the Universe up until the early 1920s.

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when using the transit method, why is it easier to detect gas giants (like jovian planets) than earth-sized planets?

Answers

When planets have relatively close orbits and when at least one of them is more massive, causing the orbital period of a less large planet to be more perturbed, it is simpler to spot transit-timing fluctuations.

What is the transit method best for?

The most reliable and sensitive method for finding extrasolar planets right now is transit photometry. For room observatories that can look unceasingly at stars for weeks or months, it is a very useful technique.

What does the astronomical transit method involve?

The bulk of exoplanets that are currently known were discovered via the transit method. Transiting refers to the movement of the earth past a star and an observer. Transits within our cosmos can be witnessed from Earth when Mercury or Venus pass in front of the Earth and the Sun.

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A virtual image in a location the light doesn’t actually reach

Answers

Answer:14p +4q-2r

Explanation:

Sum of (10p-r+5p+2q)

10p+5p+2q-r

15p+2q-r

Now subtract( p-2q+r) from (15p+2q-r)

(15p+2q-r) - (p-2q+r)

15p+2q-r-p+2q-r

15p-p+2q+2q-r-r

14p +4q-2r

The answer is 14p +4q-2r

adjustment of the lens by the ciliary body: a.photophobia b.refraction c.amblyopia d.accommodation e.binocular vision

Answers

Adjustment of the lens by the ciliary body is accommodation.

The correct option is D.

Briefing:

The lens is stretched and its refractive strength is changed by the zonule, a collective term for the suspensory ligaments that the ciliary bodies anchor. Relaxation of the zonule allows for accommodation for nearby items.

What is ciliary body of the eye?

A section of the central portion of the eye's wall. The ring-shaped muscle that modifies the curvature of the lens whenever the eye focuses is part of the ciliary body, which is located behind the iris. Additionally, it creates the transparent liquid that fills the area between the iris and the cornea.

What materials makes up the ciliary body?

There are muscles, blood vessels, and epithelium in the ciliary body.

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a car accelerates from 6 m/s to 22.0 m/s at a rate of 3.00 m/s2. how far does the car travel while accelerating?

Answers

The total distance traveled by the car when accelerating at a rate of 3 m/s² is 74.67 meters.

Acceleration is the rate at which an object's velocity with respect to time changes. Acceleration is a vector quantity. The direction of the net force acting on an object determines the direction of its acceleration.

The car accelerates from 6 m/s to 22 m/s.

Therefore,

The initial velocity of the car, u = 6 m/s

The final velocity of the car, v = 22 m/s

The acceleration of the car, a = 3 m/s²

By using the equation of motion,

v² - u² = 2as

s = ( v² - u² ) / 2a

s = ( 22² - 6² ) / 6

s = ( 484 - 36 ) / 6

s = 448 / 6

s = 74.67 meters

The car travels 74.67 meters while accelerating.

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what current in a solenoid 15.0-cm long wound with 100 turns would produce a magnetic field equal to that of the earth, 5.00 x 10-5 t?

Answers

A solenoid 15.0-cm length and wound without 100 turns would generate a magnetic field of 5.00 x 10-5 t at 60 mA current.

The correct answer is 60mA

What exactly is indeed a magnetic field, in simple terms?

The magnetic field is the area that is affected by magnetism and is located around a magnet. The magnetic field is a valuable tool for explaining the distribution of the magnetic force within and around magnetic object in nature.

where is The magnetic field  ?

The surface magnetic field and Earth's magnetic field are roughly magnetic dipoles, with the magnetic field's S pole located close to the planet's geographic north pole (see Magnetic North Pole) as well as the magnetic field's N pole located close to the planet's geographic south pole (see Magnetic South Pole).

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A force of 57.1 Newtons is applied for 0.977 meters; what work was done on the object?(1 point)
Responses

58.1 J
58.1 J

56.1 J
56.1 J

55.8 J
55.8 J

58.4 J

Answers

If A force of 57.1 N is applied for 0.977 meters then work is done on the object is 55.8J .

What is displacement?

Displacement is defined as the shortest distance travelled by the object.

Displacement is defined to be the change in position of an object.

it has both magnitude and direction. it is a vector quantity.

What is force?

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. Newton is the SI unit of force (N).

mathematically, F=ma

where, F = force

m = mass and a = acceleration

Given,

force Applied is 57.1N .

displacement is 0.977 m.

According to the formula of work done,

work = force × displacement

Work = 57.1N×0.977m

Work = 55.78J

work = 55.8J

Hence, if A force of 57.1 N is applied for 0.977 meters then work is done on the object is 55.8J .

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Answer:

55.8 J

Explanation:

7. A ball is thrown horizontally from the roof of a building 50. m tall and lands
45 m from the base. What was the ball's initial speed?

Answers

The initial speed of the ball is 14.08m/s

We are given that,

The height of the building = h = 50m

The distance of land from base = d = 45m

Therefore, for getting the value of the initial speed v , first we have to know the time period of the ball that is thrown from building horizontally, so that taking the equation of motion in term of time and distance, then we can write as,

h = ut + (1/2) at²

Where, h is the height of the building , u is the initial speed that can be taken zero, a is the acceleration due to gravity which can be put as 9.8m/s²

50m = 0 + (1/2) (9.8m/s² )(t²)

(t²) = 10.204 s

t = 3.194 s

Thus , the initial speed of the ball in the horizontal direction can be calculated as,

Speed = distance/time

v = 45m / 3.194s

v = 14.08 m/s

Since, the initial speed of the ball would be 14.08m/s.

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what does a flat horizontal line on a graph mean?
a. the object is moving fast
b. the object is motionless
c. the object is gaining speed
d. the object is moving back to its original position

Answers

B cause the speed is neither going up, down, or even moving

What does it mean if the percent transmittance of light through a sample is 100% at a given wavelength?.

Answers

If all the light passes through a solution without any absorption, then absorbance is zero, and percent transmittance is 100%. If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

What does a high percent transmittance mean?

A surface will let more light to pass if the % transmittance number is high. Similar to this, if the % transmittance number is low, it indicates that the surface absorbs more light.

If you move the light from a block of semitransparent glass. Let's imagine that the glass surface reflects 30 percent of the light. 70% of the light will attempt to pass through the glass block. However, part of the light will be absorbed by the light molecules. Say there is 35% light. Now the other side of the block will let through the final 35% of the light. It denotes a 35% transmittance for the glass block.

Hence, If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

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Please Help, Please show all work! I would really appreciate it.

Answers

The acceleration of the object is obtained as -1 m/s^2.

What is the acceleration?

We have to recall that acceleration would be defined as the rate at which the velocity can be changed at a given time. We should now look  at the formula that could help us to get the acceleration of the object.

a = v - u/t

a = acceleration

v = final velocity

u = initial velocity

t = time taken

Thus we can now be able to correctly carry out the substitution of the values and we have;

a = 2 - 7/5

a = -1 m/s^2

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Basic Electrical Quantities: Solve the following problems .
A lightning strike carries 5.0 C of charge in the 0.02 s it takes to reach the ground. What is the electric current carried by the lightning strike . please I need a answer fast

Answers

The electric current carried by the lightning strike, given it carries 5.0 coulomb in 0.02 second is 250 A. Details below

How to determine the electric current

We'll begin by writing out the equation relating quantity of electricity, electric current and time. The equation is illustrated below:

Q = It

Where

Q is the quantity of electricity in coulomb (C)I is the electric current in ampere (A)t is the time in second (s)

With the above formula, we can obtain the electric current. Details below

From the question given above, the following data were obtained:

Quantity of electricity (Q) = 5.0 CTime (t) = 0.02 sElectric current (I) =?

Q = It

5 = I × 0.02

Divide both sides by 0.02

I = 5 / 0.02

I = 250 A

Thus, from the calculation made above, we can draw our conclusion that the electric current carried by the lightning strike is 250 A

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2. Answer these questions about food safety: How many foods can be cooked at less than 150 degrees and be safe? How many foods need to be cooked at temperatures above 150 degrees to be safe? How many foods need a rest time? What is the purpose of the rest time? List at least five different foods that you or a family member eat or cook.

Answers

Foods that can be cooked at less than 150 degrees and be safe include: Shell eggs and egg containing foods

foods that need to be cooked at temperatures above 150 degrees to be safe include: pork, ground meats

foods that need a rest time include:  Foods that are harder to chew, such as steak and nuts, larger meats.

The purpose of the rest time is to allow the muscles to replenish their glycogen stores, thereby reducing muscle fatigue and preparing the muscles for their next workout.

five different foods that I or a family member eat or cook includes;EggspotatoesBeansMilk, yoghurt, cheese Rice, corn, pastasWhat is food?

Food is any substance consumed to provide nutritional support for an organism.

Food is important because it provides nutrients, these nutrients in turn  provide: energy for activity, growth, and all functions of the body.

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Which of the following correctly displays the four fundamental forces in terms of decreasing range?
O a
Ob
Oc
Od
Electromagnetic force, weak nuclear force, gravity, strong nuclear force
Gravity, electromagnetic force, strong nuclear force, weak nuclear force
Weak nuclear forfe, gravity, strong nuclear force, electromagnetic force
Strong nuclear force, gravity, weak nuclear force, electromagnetic force

Answers

The correct order of four fundamental forces in terms of decreasing range is as follows:

Strong nuclear force >electromagnetic force > weak nuclear force > gravitational force

The strong nuclear force is what holds the fundamental particles together to create larger particles. The masses of the bodies and the separation between their centers of mass determine the gravitational pull. The decay of the particle is caused by the weak nuclear force.Between charged particles, an electromagnetic force operates. These definitions aid us in understanding the hierarchy of the forces.

What is Force?A force is an effect that can alter an object's motion in physics. An object having mass can vary its velocity, or accelerate, in response to a force. Force can also be conceptualized as a push or a pull. A force is a vector quantity that has a magnitude and direction, and it is measured in the SI unit of newton (N).The net force acting on an object is equivalent to the rate at which its momentum varies over time, according to Newton's second law in its original version.This law states that, if the mass of the item is constant, the acceleration of the object is inversely proportional to its mass and directly proportional to the net force acting on it. It also states that the acceleration is in the direction of the net force.

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An object is projected from the ground at an angle of 30o above the horizontal and returns to the ground 8 seconds later. What is the object’s maximum height?

Answers

The object's maximum height during projectile motion is 78.4 m.

We need to know about the projectile motion to solve this problem. The projectile motion is known as parabolic motion and the velocity is divided by 2 axes.

vox = vo cosA

voy = vo sinA

where vox is initial velocity of x axis, voy is initial velocity of y axis, vo is initial velocity and A is the angle.

The total time taken during projectile motion is

t = 2(voy)/g

where t is total time and g is the gravitational acceleration (9.8 m/s²)

The maximum height also can be found using this formula

ymax = voy² / 2g

where ymax is the maximum height

From the question above, the given parameters are

A = 30⁰

t = 8 s

Find the initial velocity of y axis

t = 2(voy)/g

8 = 2 . voy / 9.8

voy = 39.2 m/s

Find the maximum object's height

ymax = voy² / 2g

ymax = 39.2² / 2 . 9.8

ymax = 78.4 m

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HELP PLEASE!! *ILL GIVE BRAINLIEST*
An unattended car rolls slowly across an empty parking lot. Consider the following two cases: case 1, the car hits a light pole and comes to rest; case 2, the car hits a pile of plastic garbage bags and comes to rest. (a) Is the impulse in case 1 greater than, less than, or equal to the impulse in case 2? (b) Is the average force in case 1 greater than, less than, or equal to the average force in case 2?

Answers

Reaction distance plus braking equals stopping distance. The published road brake performance tests for almost all contemporary production vehicles show stopping distances from 60 mph that are typically 120 to 140 feet, well under half of the anticipated safety distances.

How does stopping distance at 60 mph get calculated?

The anticipated stopping distance for a car at 60 mph is 73 meters (240 feet), or 18 car lengths overall. This measurement combines the braking distance of 55 meters and the thinking distance of 18 meters.

Your overall stopping distance is at least 268 feet at 50 mph. The total   of the 268 feet is composed of: 55 Feet for Perception. 55 feet for a response.

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In which phase change are hydrogen bonds formed?
sublimation
freezing
boiling
evaporation

Answers

The phase change in which hydrogen bonds are formed is freezing. That is option B.

What is phase change?

Phase change is defined as the process that matter passes through in which there is change in state of matter from one form to another.

The different phase changes of matter include the following:

Melting.Freezing.Evaporation. Condensation.

Freezing is defined as the phase change through which a liquid medium changes to a solid medium leading to the formation of ice.

Ice contains more hydrogen bonds than water. That is to say that freezing is the phase change in which hydrogen bonds are formed most.

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Answer:

1. condensation

2. heat of vaporization

3. freezing

4. 68.8J

Explanation:

States of Matter Quick Check

Gravity is the centripetal force that holds the Earth in orbit around the Sun. Where does this centripetal force vector
point?
a. Toward the center of the Sun
b. Toward the center of the Earth
c. In the direction of the Earth’s orbit
d. In a straight line away from the Sun

Answers

Explanation:

b. Toward the center of the Earth

When the positively charged rod Q is brought close to rod R, rod R moves away from rod Q.
Which conclusion can be made from this observation?
A Rod R is charged, but it is not possible to identify the sign of the charge.
B Rod R must be positively charged.
C Rod R must be negatively charged.
D Rod R is uncharged.

Answers

Answer:

B rod r is positively charged

At the micro level, what is the difference between an unmagnetized iron nail and a magnetized iron nail?.

Answers

The main difference in between magnetized and unmagnetized iron nails is the alignment of the magnetic domains.

What is magnetization?
The density of induced or permanent dipole moments in a specific magnetic material is measured by magnetization, also known as magnetic polarisation. We already know that the magnetic moment, which would be produced by the motion of electrons within atoms, the spin of electrons, or the nuclei, results in magnetization. In addition to any unbalanced magnetic dipole moment that is present due to the motion of the material's electrons, as was previously mentioned, the response of the a material to a external magnetic field determines its net magnetization. We can categorise materials according to their magnetic properties with the aid of the concept of magnetization. We will learn further about magnetization as well as the idea of magnetic intensity in this section.

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What is MOST likely TRUE about a person who has a healthy diet?

Answers

The MOST likely TRUE about a person who has a healthy diet is they avoid all fats and sugars (Option B).

What is a healthy diet?

A healthy diet is one that includes macronutrients (i.e. proteins, carbohydrates and lipids or fats) and micronutrients (vitamins and minerals) in a suitable amount. It is well known that fats and sugars may provide calories but they do not contain nutrients and therefore should be avoided in a healthy diet.

Therefore, with this data, we can see that a healthy diet is based on the consumption of foods that contain a suitable amount of macronutrients and micronutrients.

Complete question:

What is MOST likely TRUE about a person who has a healthy diet?

OA. They eat occasional treats.

OB. They avoid all fats and sugars.

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a box on a rough surface has a weight of 100 n. you apply a horizontal force of 12 n (taking the positive direction to the right), but the box does not move. what is the static friction force on the box? the static friction coefficient is 0.25.

Answers

The static friction force on the box is 25 N.

What is the definition of static friction?

Static friction is a type of friction force that acts on the body when there is no relative motion between the object and the surface. As a result, even when the body is moving, it can still act. However, there shouldn't be any relative motion.

Weight of box W = mg = 100 N

Static friction coefficient = 0.25

Forces acting on box are I) Weight of box mg downwards, 2) Normal force on box N upwards 3)Friction force fs to the left and 4) Applied force P to the right.

N-mg=0⇒ N = mg

Net force acting on box in the vertical direction is zero,

[tex]f_{s}[/tex] ≤ [tex]\mu_{s}[/tex] N⇒[tex]f_{s}[/tex] ≤ [tex]\mu_{s}[/tex]mg⇒[tex]f_{s,max}[/tex] = [tex]\mu_{s}[/tex]mg

Net force acting on box in the horizontal direction is P - [tex]f_{s}[/tex] = 0⇒P= [tex]f_{s}[/tex] (until the box starts moving)

For the the box to move P = [tex]f_{s,max}[/tex]

P= [tex]\mu_{s}[/tex]mg = 0.25 × 100 = 25 N.

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an airplane flying at an altitude of 120 m is dropping a package to some stranded hikers. ifthe aircraft is moving at 95 m/s, how far from the hikers should the package be dropped sothat it lands at their location?

Answers

The package should be dropped at a horizontal distance of 465.4 Meters away from the hikers.

The package dropped from the aircraft will have a path of a projectile.

The speed of the aircraft is 95m/s.

The aircraft is 20 m above the hikers.

The initial velocity of the package will also be 95m/s.

The horizontal range of the projectile is given by,

R = u√(2h/g)

Where you is the initial velocity,

u is the height,

g is acceleration due to gravity.

Now, putting all the values,

R = 95(√(2(120)/10))

R = 465.4 m.

Show the aircraft should drop the package at a distance of 465.4 m away from the hikers.

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Which of the picture demonstrates a state of matter wirh a fixed shape and a fixed volume

Answers

Answer:

option (j) because the particles are tightly packed and it's clear in the pic that it has fixed shape and there is no space to move

If a star is moving towards earth,it is

Answers

Answer:

Explanation:

If a star is moving toward Earth, it is blue-shifted. Light is an electromagnetic wave that has a range of colors

An astronaut on the moon weighs approximately 1/6 as much as on earth. How will the astronaut’s inertia change on the moon?.

Answers

The astronaut's inertia will not change on the moon.

What is inertia?

Inertia can be defined as the property of a matter that causes a matter to be at rest or continuous motion in a straight line.

Inertia depends on the mass of an object, the more massive an object is, the greater the inertia and the smaller the mass of an object, the lesser the inertia.

The weight of an object is given as the product of mass and acceleration due to gravity.

W = mg

where;

m is the mass of the objectg is acceleration due to gravity

The mass of the astronaut will be constant, only the weight will change due to difference in the value of acceleration due to gravity.

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how much force is needed to lift a 24-kg mass??
pls, i need help loll

Answers

Answer:lol

Explanation:

As a battery is used to charge a capacitor, does the overall charge inside the battery get smaller, greater, or stay the same?.

Answers

When a battery is used to charge a capacitor, does the battery's total charge get smaller.

What is capacitor?

A device without an element is referred to as a capacitor. The capacitance of a capacitor is defined as the ratio of the charge stored in either of its conductors to the potential difference between them. It is assumed that an earthed conductor's capacitance will visibly rise when it is moved close to another conductor in order for a capacitor to work. As a result, a capacitor has two plates with equal and opposing charges that are spaced apart from one another.

When a battery is used to charge a capacitor, electrons that will eventually gather on one plate and become negatively charged are given energy. The opposite plate then acquires a positive charge.

Additionally, this electron is not coming from a battery. When a battery is discharged, its energy has been consumed.

Therefore, while charging a capacitor, the battery's overall charge remains constant.

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Other Questions
a solution of permanganate is standardized by titration with oxalic acid (h2c2o4). it require 28.97 ml of the permanganate solution to react completely with 0.1058g of oxalic acid. start off by writing a net ionic equation and balancing with the appropriate method. what is the molarity of the permanganate solution? The product of -1/a 0, and it's reciprocal is?A. a/2B. 2/aC. -2/aD. None are correct The line y 14 = 6(x 2.5) represents Barrys profit, y, from selling x painting, aftser buying some canvas. What was the cost of the canvas? What do you like about ocean waves? Determine 3 things you like about it.(Please be specific) PLEASE HELP I GIVE YOU 20 POINTS PLEASE HELP ME PLEASE HELP IF YOU GIVE ME THE RIGHT ANSWERS I GIVE YOU 20 POINTS PLEASE HELP PLEASE HELP ME3. Create a "role-play" or "practice session" between you and an imaginary person who is either abusing drugs or encouraging you to abuse drugs. Include in your role-play these items:a. The persons involvedb. The scenarioc. The dialogue between you and your friendsd. What you would say to them to discourage their abuse of drugse. What you would say or do to refuse to participate4. Summarize your thoughts on the following questions.a. What are the dangers of over-the-counter drugs?b. What can you do to reduce the risk of abusing over-the-counter drugs? the group most likely to experience information overload, when they process information visually under conditions of goal expectations are: Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.A. 8(2n) < 76 - 12B. 8n + 2 = 12n - 76C. 8(n + 2) > 76 - 12nD. 8(2n) = 76 12n The width of a rectangle is 2 its length. The perimeter of the rectangle is 540 ft. What is the length, in feet, of the rectangle? (12) The story of Daedalus and his son Icarus is one of the most famous stories about human flight. (13) Having offended King Minos, Daedalus and his son were imprisoned in the labyrinth that Daedalus himself had constructed to contain the famous half-man, half-bull monster known as the Minotaur. (14) Daedalus designed a daring plan for escape and fashioned wings for himself and his son by fastening feathers to their bodies with wax. (15) They successfully escaped from the labyrinth, but Icarus grew reckless. (16) He was so joyful about being able to fly that he flew too high. (17) The heat of the sun melted his wings, and he plunged to his death.8Which of these sentences could be added to the end of the second paragraph (sentences 12-17) to support the ideas in that paragraph? A. The clearest breakthrough in human flying occurred with the Wright Brothers flight. B. The inhabitants of the mythical Chinese kingdom of Ki Kuang were described as having one arm and three eyes. C. Hot air balloons were a popular, but often dangerous, means of flight. D. Daedalus, heartbroken, flew on to Naples and vowed never to fly again. What is the setting of this narrative? Refer to two or more details from the text to supportyour understanding of why this student has included certain details to convey the settingof the story to readers. Suppose we are given the following.Line 1 passes through (-2,2) and (2,-8).Line 2 passes through (0,-1) and (5,6).Line 3 passes through (4,-7) and (2,-2).(a) Find the slope of each line.Slope of Line 1 = 08Slope of Line 2 =Slope of Line 3 =(b) For each pair of lines, determine whether they areparallel, perpendicular, or neither.Line 1 and Line 2: OParallel OPerpendicularLine 1 and Line 3:Line 2 and Line 3:ParallelOParallelNeitherOPerpendicular NeitherOPerpendicularNeither calculate the gross profit for jefferson company based on the following: sales $764,000 selling expenses 42,500 cost of merchandise sold 538,000 group of answer choices $495,500 $183,500 $721,500 $226,000 a subtype is a generic entity that has a relationship with one or more entities at a lower level.a. Trueb. False The plump old white cat basked in the warm sunlight. Which of the following options correctly punctuated the sentence above What are the goals that we want to accomplish when determining how much work each resource is capable of doing? 14. What are two cell surface modifications that we can expect to see on the external side of the plasmamembrane? In what type of cells (1 plant cell modification and 1 animal cell modification) would weexpect to see each type of modification? f(x) = x^2; vertical stretch by a factor of 3 and a reflection in the x-axis, followedby a translation 3 units down collective noun of mutton You need to keep track of money raised from a fundraiser assuming you will raise between five and ten thousand dollars what data type will you lose? dollar general corporation operates general merchandise stores that feature quality merchandise at low prices to meet the needs of middle-, low-, and fixed-income families in southern, eastern, and midwestern states. for the year ended february 1, 2019, the company reported average inventory of $$3,850 (in millions) and an inventory turnover of 4.63. average total fixed assets were $2,836 (million) and the fixed asset turnover ratio was 9.04.