What is the period of oscillation of a mass 40kg on a spring with constant k=10N/m?

Answers

Answer 1

The period of oscillation of the system is 12.56 s

Explanation:

The period of oscillation of a spring-mass system is given by

[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]

where

m is the mass attached to the spring

k is the spring constant

For the system in this problem, we have

m = 40 kg

k = 10 N/m

Substituting into the equation, we find

[tex]T=2\pi \sqrt{\frac{40}{10}}=12.56 s[/tex]

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Related Questions

Place the items in order from the largest wavelength to the shortest wavelength.


Blue visible, Gamma radiation ,Green visible,Infrared, Microwave ,Orange visible ,Radio wave, Red visible, Ultraviolet (UV), Violet visible, X-ray ,Yellow visible

Brainliest???????? will i mark you???

Answers

From largest to shortest wavelength:

Radio waves, Microwaves, Infrared radiation, Red visible, Orange visible, Yellow visible, Green visible, Blue visible, Violet visible, Ultraviolet, X-rays, Gamma rays

Explanation:

Electromagnetic waves are oscillations of the electric and the magnetic field in a plane perpendicular to the direction of motion the wave.

Electromagnetic waves are the only type of waves able to travel in a vacuum, and in a vacuum they always at the same speed, the speed of light,  equal to:

[tex]c=3.0\cdot 10^8 m/s[/tex]

Electromagnetic waves are classified into 7 different types, according to their wavelength/frequency. From slongest to shortest wavelength, they are ranked as follows:

Radio waves

Microwaves

Infrared radiation

Visible light

Ultraviolet

X-rays

Gamma rays

Visible light is the only part of the spectrum that the human eye is able to see. Depending on the wavelength of the visible light, we perceive the radiation as a different color. In order from longest to shortest wavelength, colors are:

Red

Orange

Yellow

Green

Blue

Indigo

Violet

Therefore, the correct order from largest to shortest wavelength in the given list is:

Radio waves

Microwaves

Infrared radiation

Red visible

Orange visible

Yellow visible

Green visible

Blue visible

Violet visible

Ultraviolet

X-rays

Gamma rays

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Answer:

From largest to shortest wavelength:

Radio waves, Microwaves, Infrared radiation, Red visible, Orange visible, Yellow visible, Green visible, Blue visible, Violet visible, Ultraviolet, X-rays, Gamma rays

Explanation:

Electromagnetic waves are oscillations of the electric and the magnetic field in a plane perpendicular to the direction of motion the wave.

Electromagnetic waves are the only type of waves able to travel in a vacuum, and in a vacuum they always at the same speed, the speed of light,  equal to:

Electromagnetic waves are classified into 7 different types, according to their wavelength/frequency. From slongest to shortest wavelength, they are ranked as follows:

Radio waves

Microwaves

Infrared radiation

Visible light

Ultraviolet

X-rays

Gamma rays

Visible light is the only part of the spectrum that the human eye is able to see. Depending on the wavelength of the visible light, we perceive the radiation as a different color. In order from longest to shortest wavelength, colors are:

Red

Orange

Yellow

Green

Blue

Indigo

Violet

Therefore, the correct order from largest to shortest wavelength in the given list is:

Radio waves

Microwaves

Infrared radiation

Red visible

Orange visible

Yellow visible

Green visible

Blue visible

Violet visible

Ultraviolet

X-rays

Gamma rays

Explanation:

If only 10 pounds is required to lift a 500-lb block, how much chain must be played out to lift the engine 3.0 inches?

0.060 in

150 in

290 in

6.0 in

need help on more asap

Answers

Answer:

150 inches (12.5 ft)

Explanation:

The work done to lift the 500 pound block 3 inches should be the same as that to lift the 10 pond object a given distance.

The following is the equation one needs to solve:

[tex]10 \,lb\,* \,x\,=\,500\,lb\,*\,3\,in\\10 \,lb\,* \,x\,=\,1500\,lb\,in\\[/tex]

therefore solving for the distance "x" gives as the answer (in inches):

[tex]10 \,lb\,* \,x\,=\,1500\,lb\,in\\x\,=\,\frac{1500\,lb\,in}{10\,lb} \\\\x\,=150\,in[/tex]

which can also be given in feet as: 12.5 ft

Answer:

150 in"

Explanation:

If Mary is 3m from her reflection, how far is mary from the mirror?

Answers

Final answer:

Mary is 1.5m from the mirror, as the distance to her reflection, which is 3m, includes the distance to the mirror and the equal distance from the mirror to the reflection.

Explanation:

If Mary is 3m from her reflection in a mirror, it implies that she is 1.5m from the mirror itself. This is because the law of reflection states that the distance from the object to the mirror is equal to the distance from the mirror to the image of that object. Therefore, in this case, the 3m distance is double the actual distance between Mary and the mirror since it includes the path to the mirror and the equal path from the mirror to the image.

A 5kg mass at rest on the ground is rised up to 15m. Find the work that was done on the object.

A. E before=___ Work=___ E after=___
B. Conservation of Energy equation:
C. Solve.

Answers

A. Before work is the answer

Answer:

E before = 0 J Work = 735.75 J E after= 735.75 J

Explanation:

The work that was done on the object is calculated as follows:

W = m*g*h

where m refers to the mass of the object, g to gravitational acceleration (9.81 m/(s^2)) and h to the hight that the object was raised up. Replacing with data into the equation (units are ommited):

W = 5*9.81*15

W = 735.75 J

Taking the ground as heigth = 0 m, then both potential and kinetic energy of the object before the lift was zero (notice that it was resting). Conservation energy equation states that the change of energy of an object is equal to the work applied on the object (like this case) or done by the object. That is:

ΔE = W

where ΔE = Energy after - Energy before

Therefore:

Energy after = W = 735.75 J

The potential energy after the lift is also calculated as m*g*h, so the energy after the lift is all potential energy gained by the object due to the work applied on it.

A force of 350N is applied to a body. If the work done is 40kJ, what is the distance through which the body moved?

Answers

The distance covered by the body is 114.3 m

Explanation:

The work done by a force exerted on an object is given by

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the displacement of the object

[tex]\theta[/tex] is the angle between the direction of the force and of the displacement

For the object in this problem, we have

F = 350 N is the force applied

[tex]W=40 kJ = 40,000 J[/tex] is the work done

[tex]\theta=0^{\circ}[/tex] if we assume that the force is applied parallel to the motion of the object

Solving for d, we find the distance covered by the object:

[tex]d=\frac{W}{F cos \theta}=\frac{40,000}{(350)(cos 0)}=114.3 m[/tex]

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What scientific question does Isaac Asimov most clearly address with his
story "Runaround"?

A. Should robots be allowed to marry?

B, should robots be treated as members of the family?

C. Can robots be trained to follow a moral code?

D.
Can robots be trained to be the sole caretakers of children?

Answers

Answer:  C. can robots be trained to follow a moral code?

Explanation:

Answer:

Its C

Explanation:

A person absentmindedly walks off the edge of a tall cliff. They will fall 50 m into either
deadly rocks or a safe lake below the cliff. The lake is 12 meters away from the edge of
the cliff
If the person walks off the cliff at a constant velocity of 3.8 m/s,
will they survive? No (yes or no) How far did they go?

Answers

The man lands 12.1 m far from the base of the cliff, so he will survive

Explanation:

The motion of the person is a projectile motion, which consists of two independent motions:  

- A uniform motion (constant velocity) along the horizontal direction  

- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction  

We start by considering the vertical motion, to find the time of flight of the person, with the following suvat equation:

[tex]s=ut+\frac{1}{2}gt^2[/tex]

where :

s = 50 m is the vertical displacement of the man (the height of the cliff)

t is the time of flight

u = 0 is the initial vertical velocity

[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity

Solving for t,  we find

[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(50)}{9.8}}=3.19 s[/tex]

Now we know that the man moves horizontally, with a constant velocity of

[tex]v_x = 3.8 m/s[/tex]

Therefore, the horizontal distance covered by the man during this time is

[tex]d=v_x t = (3.8)(3.19)=12.1 m[/tex]

So the man lands 12.1 m far from the base of the cliff: therefore, on the lake, so he will survive.

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When using the right-hand rule to determine the direction of the magnetic field around a current-carrying wire, which part of the
right hand points in the direction of the magnetic field?

-palm
-fingers
-back
-thumb

Answers

Answer:

Fingers

Explanation:

The index finger shows the moving charge, while your middle finger shows the magnetic field line.

Answer: Palm

Explanation: When you have a wire, you must point your thumb in the direction in which the electricity is going, and now you close your palm, in the direction in which you closed your hand is in the direction in which points the magnetic field.

Then the correct option is the first one, the palm points in the direction of the magnetic field.

What acceleration will you give to a 24.3 kg box if you push it horizontally with a force of 85.5 N? Please show work.

Answers

you would have a force of 3.52 m/s^2
Final answer:

The acceleration of a 24.3 kg box being pushed with a force of 85.5 N is approximately 3.52 m/s². This is determined through the application of Newton's Second Law (F=ma) where acceleration (a) is obtained when the applied force (F) is divided by the mass (m).

Explanation:

The subject of the question is Physics, specifically the concept of Newton's Second Law. This law states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. It is represented by the formula F = ma, where F is the force, m is the mass, and a is the acceleration.

In this case, we have the force F = 85.5 N and the mass m = 24.3 kg. You're asked to find out the acceleration, denoted by 'a'. You can find the acceleration by rearranging the formula to a = F/m. Substituting the given values into the formula gives a = 85.5 N / 24.3kg, resulting in an acceleration of approximately 3.52 m/s².

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Dane is holding an 8 kilogram box 2 metres above the ground. How much energy is in the box's gravitational potential energy store? Assume Dane is on Earth, where g = 10 N/kg.

Answers

Answer:160j

Explanation:

PE=mgh

m=8kg

g=10N/kg

h=2m

PE=8*10*2

PE=160j

when a man travel from hilly region to terai region what will happen to his weight ? explain with reason.​

Answers

Answer:

His weight increases.

Explanation:

The weight of the body is the gravitational force acting on the body at that location.The gravitational force is defined as the product of mass  of the body and the acceleration due to gravity.

                                           W = m x g

The acceleration due to gravity of earth is high at the surface and decreases with respect to the height from the surface.Hence, a man in the higher altitude regions experience lower weight that in the the lower altitude  regions.

which letter represent the location of the resister in this diagram?​

Answers

Answer:

Letter which represent the resistance in this circuit diagram isD

Explanation:

Here in this circuit diagram we know that

A = Battery

B = switch

C = connecting Wire

D = Resistance

This zig zag shape is represented as Resistance in all circuits

Answer:

D

Explanation:

3. A -4.00-uC charge lies 20.0cm to the right of a 2.00-uC charge on the x axis. What is the force on the 2.00-uC charge?

Answers

Answer:

The force on the 2.00-uC charge is [tex]36 \times 10^{10} \mathrm{N}[/tex]

Explanation:

We know that force between two charges is given by Coulomb’s law,

[tex]\mathrm{F}=\mathrm{k} \frac{q 1 q 2}{r * r}[/tex]

Where k = Coulomb’s constant =

[tex]9.0 \times 10^{9} \mathrm{Nm}^{2} \mathrm{C}^{-2}[/tex]

And q1 and q2 are the charges given to be = -4.00-uC and 2.00-uC charges

And r = distance between the charges = 20 cm = 0.2 m  

Substituting the given values in the formula we get force applied on [tex]2.00\ \mu C[/tex] charge,

F =  [tex]36 \times 10^{10} \mathrm{N}[/tex] attractive force which is the required answer.

The force on the 2.00-uC charge is 1.8N towards the right.

Let us assume Q = -4.00μC and charge q = 2.00μC. Distance between them is r = 0cm = 0.2m

Coulomb's Law:

According to Coulomb's law, the electrostatic force between two charges Q and q separated by a distance r is given by:

[tex]F=k\frac{Qq}{r^2}[/tex]

where k is Coulomb's constant

[tex]F=\frac{9\times10^9\times4\times10^{-6}\times2\times10^{-6}}{0.20\times0.20} N\\\\F=1.8N[/tex]

Since we are calculating the force on the q which is positive, due to Q which is negative. The direction of the force will be towards the right since the electric field for the negative charge will be directed towards the charge, which is towards the right.

So the net force is 1.8N towards right.

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A 55 kg person is sitting in a car that hits a concrete floor.The car was moving at 30 m/s and came to a halt in 0.35s.What is the average force that the seatbelt exerts on the person.

Answers

Answer:

-4714.28N

Explanation:

Given

Mass of person, m= 55 kgCar speed initially ,u =30[tex]\frac{m}{sec}[/tex]Car speed finally, v=0(car comes to a halt)Duration for the car to come halt,t=0.35 sec

This question is based on the concept of Impulse

Impulse is the force acting in a time interval(usually very short)

it is equal to force multiplied with time and also equal to change in momentum of body

⇒[tex]F\times t= mv-mu\\F \times0.35= 55\times (0-30)\\F\times 0.35= -1650\\F= -4714.28 N[/tex]

Therefore the seat belt exerts a force of -4718.28N on the person

The negative sign signifies that seat belt exerts force in opposite direction of Force

The average force exerted by the seatbelt on a 55 kg person in a car that decelerates from 30 m/s to a halt in 0.35s is 4714.05 N, acting in the direction opposite to the motion.

To calculate the average force that the seatbelt exerts on a person, we can use the formula derived from Newton's Second Law of Motion:

F = ma

However, since acceleration is not directly given, we can find it using the formula for acceleration (a) in terms of velocity change (∆v) and time (∆t):

a = ∆v / ∆t

In this case:

The velocity change (∆v) is 30 m/s (since the car stops, the final velocity is 0 and initial velocity is 30 m/s).The time (∆t) over which the velocity change occurs is 0.35s.

Now, we will calculate the acceleration experienced by the person:

a = -30 m/s / 0.35s = -85.71 m/s² (The negative sign indicates deceleration).

Using the calculated acceleration and the person's mass (55 kg), we can find the force:

F = 55 kg imes -85.71 m/s² = -4714.05 N

The negative sign indicates the direction of the force is opposite to the direction of motion. The average force exerted by the seatbelt on the person is therefore 4714.05 N.

A 42 kg object is 2.5 m from a 55kg object. How much is the force of attraction between them?

Answers

Answer:

Force of attraction is 2,46*10^-8N[tex]F= G*(m1*m2/r^2)\\where \\\\G=6,67*10^-11 (N*m^2/kg^2)\\m1=42kg\\m2=55kg\\r=2,5m\\therefore\\F=6,67*10^-11*(42*55/2.5^2)\\

F=2,46*10^-8 N[/tex]

Explanation:

Using the Law of Universal Gravitation, proposed by Newton.

an unbalanced force of 2 N ask on a 3 kg object for six seconds the magnitude of the objects change in velocity is
yes 1)18m/s 2)2m/s 3)36m/s 4)4.0m/s

Answers

The change in velocity is 4) 4.0 m/s

Explanation:

First of all, we can find the acceleration of the object, by applying Newton's second law:

[tex]F=ma[/tex]

where

F = 2 N is the net force on the object

m = 3 kg is the mass of the object

a is the acceleration

Solving for a,

[tex]a=\frac{F}{m}=\frac{2}{3}=0.67 m/s^2[/tex]

The motion of the object is a uniformly accelerated motion, so we can use the suvat equation:

[tex]v=u+at[/tex]

where

u is the initial velocity

v is the final velocity

[tex]a=0.67 m/s^2[/tex] is the acceleration

t = 6 s is the time elapsed

Therefore, the change in velocity is

[tex]v-u = at=(0.67)(6)=4.0 m/s[/tex]

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the potential energy of an object decreases by 10J what is the change of the object's kenitic energy, assuming there is no friction in the system?​

Answers

Final answer:

If the potential energy of an object decreases by 10J in a frictionless system, the kinetic energy increases by the same amount, 10J, due to the Law of Conservation of Energy.

Explanation:

When the potential energy of an object decreases by 10J in a system with no friction, according to the Law of Conservation of Energy, there must be an equivalent increase in the object's kinetic energy. This is because the total mechanical energy (potential energy plus kinetic energy) of the system remains constant if no external work is done and no energy is lost to friction. Therefore, if the potential energy decreases by 10J, the kinetic energy will increase by 10J, assuming there is no energy lost to other forms like thermal energy or sound.

Final answer:

When potential energy decreases by 10J, the kinetic energy of the system increases by the same amount, following the Law of Conservation of Energy.

Explanation:

The potential energy of an object decreases by 10J, leading to a corresponding increase in kinetic energy by 10J. This change follows the Law of Conservation of Energy, where the loss of potential energy is accompanied by a gain in kinetic energy.

When there is no friction in the system, the energy transformation is purely between potential and kinetic energy, resulting in the described change. When potential energy decreases by 10J, the kinetic energy of the system increases by the same amount, following the Law of Conservation of Energy.

one feels diffulcites tobreath in a deep well while cleaning it, why?

Answers

Answer:

one feels diffulcites to breath in a deep well while cleaning it because well has less amount of oxygen in it.

A fired paper piece can be thrown to check the amount of oxygen.

Answer:

Because usually oxygen is on the ground, and then if you dig a hole, all kinds of gases scramble to run in, then oxygen is naturally less, which is also because of the depth of the ground. The deeper the ground, the more gas will press on you. Simply put, the deeper the well, the greater the pressure. Most of the carbon dioxide you emit in that well is held down by other gases and cannot go out, so that there is less oxygen.

help asap!!! Describe the distinction between speed and velocity. Be sure to include
examples of each.

Answers

The distinctions between speed and the velocity is as follows:

Speed:

“Speed” is a “scalar quantity”. “Speed” of the “vehicle” says that “rate of the distance traveled” by “the vehicle”. For example, consider that a car is moving with “the speed 5 Km/h”. It informs that the “car can move 5 Km in one hour”.

Velocity:

“Velocity” is a “vector quantity”. “Velocity” of the “vehicle” says that “rate of the distance traveled” and “the direction of the vehicle”. For example, consider a car is moving with “5 km/h west”. It informs that car is traveling in “direction of west” it covers “5 Km in one hour”.

Which statement best describes how reproduction leads to natural selection in a population?
Organisms do not produce many offspring, so all of them can survive and pass on their traits.
Organisms overproduce offspring; consequently, all of them are likely to survive and pass on traits.
Organisms overproduce offspring, so only some survive and pass on their traits.
Organisms do not overproduce offspring; therefore, those that are produced will develop the best traits.

Answers

Organisms overproduce offspring, so only some survive and pass on their traits.

Natural selection is the fitting of a population to its environment.

Explanation:

Most organisms produce more than two or more offspring in their lifetime. Therefore the subsequent generations ideally have more individuals than the previous. However, naturally, the population size does not grow indefinitely. This is because some individuals do not survive to pass their genes to the next generation. Natural selection chooses the best fit individuals to habitat, and these live long enough to pass their traits to the next generation. Natural selection powers the evolution of a population even as environment changes  

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Answer:

The answer is C) Organisms overproduce offspring, so only some survive and pass on their traits

If you need any help on this question please ask me! :)

Adding a ___ to an electric circuit would increase the magnetic field around a wire

Answers

Answer: solenoid

Explanation: solenoid: increase strength around electromagnetic fields

An analogy makes a comparison between objects based on their similar qualities. Cassidy wanted to create an analogy for the motion of atoms in solids, liquids, and gases, so she compared them to marbles in a tray. Which best compares the phases of matter to marbles in a tray?A) A solid is like the tray being shaken and the marbles moving around it, and a liquid is like the tray being shaken slowly and all the marbles moving in their positions.B) A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.C) A gas is like the tray being shaken slowly and all the marbles moving in their positions, and a solid is like the tray being shaken hard and the marbles moving vigorously around it.D) A liquid is like the tray being shaken hard and the marbles moving vigorously around it, and a gas is like the tray being shaken slowly and all the marbles moving in their positions.

Answers

Answer:

A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it

Explanation:

its b

A solid is like the tray shaken slowly and all the marbles will move in their positions. A liquid is like the tray being shaken and the marbles will move around it. A gas is like the tray being shaken hard and the marbles will move vigorously around it. Therefore, option (B) is correct.

What are states of matter?

The matter exists in various forms in nature. Some substances have a definite shape such as wood, stone, marbles and some can flow, take the any shape such as water, while there are forms of matter that do not have definite shapes.

In solids, the molecules are very tightly packed and thus solids have a definite and rigid structure. The compact packing of solids indicates that the molecules are too close to each other and the molecules do not show any movement. The kinetic energy of molecules or atoms in the solid is the least or negligible.

In liquids, the molecules are at some distance from each other and they show some movements. Since the molecules show significant movement, so they have significant amount of kinetic energy. The kinetic energy of molecules or atoms in the liquid is more than that of solids.

In gases, the molecules or atoms are farther from each other and thus their molecules show huge movement. The kinetic energy of molecules or atoms in gases is the greatest in comparison to solids and liquids.

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which of the following materials has the lowest resistance copper wood plastic​

Answers

Final answer:

Copper has the lowest resistance among the given materials.

Explanation:

Copper has the lowest resistance among the given materials: copper, wood, and plastic.

In a series circuit, the total resistance is the sum of individual resistances. The circuit element with the lowest resistance would contribute the least to the overall resistance.

In a parallel circuit, the total resistance is less than the smallest individual resistance due to the combined effect of multiple paths for current flow.

It's important to note that resistance in most materials increases with temperature. So, achieving the lowest possible resistance often involves using superconducting materials at extremely low temperatures or selecting materials with inherently low resistance characteristics for specific applications.

2. Does the amount of iron in the water affect plant growth?

Hypothesis:

use if and then

Answers

Answer:

Yes, the amount of Iron can affect the growth of plant.

Explanation:

Iron is essential micro-nutrient for the growth of plant but it is required only in small amount. Iron is required when plant produces chlorophyll and this gives plants oxygen and healthy green color but if a plant is suffering from iron deficiency then the plant's growth becomes stunted and leaves color changes to yellow. For plants requirement of iron is just 1 to 1.5 lb per acre whereas, requirement of nitrogen is 75 to 200 lb per acre.

Final answer:

The amount of iron in the water affects plant growth, with both deficiency and excess having potential negative impacts. A testable hypothesis using the 'if...then' structure could predict improved growth at optimal iron levels, or decreased health at excessive levels, with measurable outcomes such as plant height and foliage health.

Explanation:

The amount of iron in the water does indeed affect plant growth. Iron is a crucial nutrient for plants, involved in the creation of chlorophyll and essential for some enzymes and cellular functions. However, iron levels must be balanced because both deficiency and excess can lead to plant health issues. Iron deficiency can cause chlorosis, a condition where leaves become pale or yellow because they don't have enough chlorophyll. On the other hand, excess iron, particularly in the ferrous state (Fe2+), can become toxic to plants, especially in waterlogged, anaerobic soil conditions.

To frame a hypothesis regarding the effect of iron on plant growth, using an 'if...then' format, one might say: "If the amount of iron in the water available to plants is increased to optimal levels, then the plants will show improved growth and healthier foliage compared to those receiving suboptimal levels." Conversely, if investigating the negative aspects: "If the amount of iron in the water exceeds optimal levels, then the plants may show signs of toxicity and decreased health."

It is important for the hypothesis to be testable and include measurable variables. For example, plant height, leaf color, and biomass could be measured to determine the impact of iron in water on plant growth.

How far does a ca4 go

Answers

Answer:

as far as the car can withstand

Explanation:

The autumnal _______ occurs in September when the days start getting shorter and the nights are longer in the Northern Hemisphere. During a new moon phase, spring tides produce the _______ difference between high and low tides. Tides are caused by _______ pulling the water of the oceans and causing it to bulge toward the large masses of the moon and sun. During a lunar eclipse, the moon briefly passes through the _______, where it receives much less sunlight causing the moon to appear dim. When the moon passes between the sun and the earth a/an _______ eclipse occurs which momentarily blocks the sun's rays from reaching certain areas of the earth.

Answers

1. Equinox

2. Greatest

3. Gravity

4. Penumbra

5. Solar

6. Earth's atmosphere refracts sunlight toward the moon when the moon passes through the umbria. The atmosphere scatters blue light from the sun, but red light is refracted and bent toward the moon.

Answer:

1. Equinox

2. Greatest

3. Gravity

4. Penumbra

5. Solar

6. Earth's atmosphere refracts sunlight toward the moon when the moon passes through the umbria. The atmosphere scatters blue light from the sun, but red light is refracted and bent toward the moon.

Jessica stretches her arms out 0.8 m from the center of her body while holding a 2.0 kg mass in each hand. She then spins around on an ice rink at 1.2 m/s.
a. What is the combined angular momentum of the masses?
b. If she pulls her arms in to 0.12 m, what is her new linear speed?

Answers

Answer:

a) L = 3.84 kg m² / s, b)   v = 0.96 m / s

Explanation:

a) the angular momentum is

    L = I w

Linear and angular magnitudes are related

     v = w r

     w = v / r

The moment of inertia of a point mass is

      I = m r²

We replace

     L = 2 m r² v / r

The two is because they are two masses

     L = 2 m r v

     L = 2 2.0 0.8 1.2

     L = 3.84 kg m² / s

b) The girl reduces the distance to 0.12 m

In this case the system is isolated, so the angular momentum is preserved

Initial moment,

       L₀ = 3.84 kg m² / s

Final after shrugging arms

       [tex]L_{f}[/tex] = I  [tex]w_{f}[/tex]

       L₀ =  [tex]L_{f}[/tex]

      3.84 = 2 2.0 0.12 wf

       [tex]w_{f}[/tex]  = 3.84 / 0.48

       [tex]w_{f}[/tex]  = 8 rad / s

Linear velocity is

       v = w r

      v = 8 0.12

      v = 0.96 m / s

Final answer:

The combined angular momentum of the masses that Jessica is holding is 3.84 kg·m^2/s. After she pulls her arms in, her new linear speed is 3.84 m/s, calculated by the conservation of angular momentum, which states that L_initial = L_final.

Explanation:

Calculating Angular Momentum and Linear Speed

To calculate the combined angular momentum of the masses that Jessica holds in her hands while spinning on the ice rink, we use the formula L = mvr, where L is the angular momentum, m is the mass, v is the linear velocity, and r is the radius or the distance from the center of her body to the mass.

Given:

m (mass) = 2.0 kg for each hand (two masses),
v (linear velocity) = 1.2 m/s,
r (radius) = 0.8 m.

The angular momentum for one mass is L = 2.0 kg × 1.2 m/s × 0.8 m. For both masses, we simply double this value:

L  = 2(mvr) = 2(2.0 kg × 1.2 m/s × 0.8 m) = 3.84 kg · m^2/s.

For part b, as Jessica pulls her arms in, her moment of inertia decreases and, according to the conservation of angular momentum, her linear speed must increase since angular momentum is conserved in the absence of external torques. The new radius r is now 0.12 m.

Let the new linear speed be v'. Using the conservation of angular momentum:

L_initial = L_finalmv_initialr_initial = mv'_finalr_finalv' = (mv_initialr_initial) / (mr_final)v' = (2.0 kg × 1.2 m/s × 0.8 m) / (2.0 kg × 0.12 m)v' = 3.84 m/s. So, the new linear speed is 3.84 m/s.

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The angle between the two force of magnitude 20N and 15N is 60 degrees (20N force being horizontal) determine the resultant in magnitude and direction
A. If the force are pull
B. The 15N force is a push and 20N force is a pull

Answers

A) The resultant force is 30.4 N at [tex]25.3^{\circ}[/tex]

B) The resultant force is 18.7 N at [tex]43.9^{\circ}[/tex]

Explanation:

A)

In order to find the resultant of the two forces, we must resolve each force along the x- and y- direction, and then add the components along each direction to find the components of the resultant.

The two forces are:

[tex]F_1 = 20 N[/tex] at [tex]0^{\circ}[/tex] above x-axis

[tex]F_2 = 15 N[/tex] at [tex]60^{\circ}[/tex] above y-axis

Resolving each force:

[tex]F_{1x}=F_1 cos \theta = (20)(cos 0)=20 N\\F_{1y}=F_1 sin \theta =(20)(sin 0)=0 N[/tex]

[tex]F_{2x}=F_2 cos \theta = (15)(cos 60)=7.5 N\\F_{2y}=F_2 sin \theta =(15)(sin 60)=13.0 N[/tex]

So, the components of the resultant are:

[tex]F_x = F_{1x}+F_{2x}=20+7.5 = 27.5 N\\F_y = F_{1y}+F_{2y}=0+13.0=13.0 N[/tex]

And the magnitude of the resultant is:

[tex]F=\sqrt{F_x^2+F_y^2}=\sqrt{27.5^2+13.0^2}=30.4 N[/tex]

And the direction is:

[tex]\theta=tan^{-1}(\frac{F_y}{F_x})=tan^{-1}(\frac{13.0}{27.5})=25.3^{\circ}[/tex]

B)

In this case, the 15 N is applied in the opposite direction to the 20 N force. Therefore we need to re-calculate its components, keeping in mind that the angle of the 15 N force this time is

[tex]\theta=180^{\circ}-60^{\circ}=120^{\circ}[/tex]

So we have:

[tex]F_{2x}=F_2 cos \theta = (15)(cos 120)=-7.5 N\\F_{2y}=F_2 sin \theta =(15)(sin 120)=13.0 N[/tex]

So, the components of the resultant this time are:

[tex]F_x = F_{1x}+F_{2x}=20-7.5 = 12.5 N\\F_y = F_{1y}+F_{2y}=0+13.0=13.0 N[/tex]

And the magnitude is:

[tex]F=\sqrt{F_x^2+F_y^2}=\sqrt{13.5^2+13.0^2}=18.7 N[/tex]

And the direction is:

[tex]\theta=tan^{-1}(\frac{F_y}{F_x})=tan^{-1}(\frac{13.0}{13.5})=43.9^{\circ}[/tex]

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How does universal gravitation affect you and objects around you?

Answers

Answer:

Newton proposed the "law of Universal Gravitation". He said that gravity is universal in nature and it affects all the objects. Gravity is present between you and every object having mass around you. The "Strength of the gravity" between two objects with mass is depends on the product of masses and distance between the objects.

The "Gravitational force" increases with the increase in mass of the objects and decreases with the increase in distance between the objects. The gravity exerts a force on every object. The direction of force of gravity is towards the centre of the Earth.  

 

The business practice of hiring workers in another country is known as globalization. insourcing. subcontracting. outsourcing.

Answers

The business practice of hiring workers in another country is known as outsourcing.

What is outsourcing?

Outsourcing is a business practice of hiring worker from outside country. This practice is done with the aim getting cheap labour force, or getting efficient labour force.

This business practice (outsourcing) can also be seen as transferring of employees and assets from one firm to another.

Thus, the business practice of hiring workers in another country is known as outsourcing.

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The business practice of hiring workers in another country is known as outsourcing. Hence, option D is correct.

What is outsourcing?

Outsourcing is the business practice of hiring a party to perform services and goods. It results in the globalization of markets and it drives maximum profits.

It is also defined as a company hiring a third party or a company to perform their task and to provide service for the company. Examples of outsourcing are advertising, website development, etc.

Outsourcing can help to reduce labor costs and enable them to work for less money. It helps the company to focus on the core aspects of the business. The outsourcing process leads to running a successful business model.

Outsourcing has the biggest advantage in time and money savings. Adapting outsourcing helps in gaining profit, increasing efficiency, and can control costs.

Hence, the business practice of hiring workers in another country is known as outsourcing. Thus, the correct option is D.

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