Suppose that 5 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 45 cm.

Required:
a. How much work is needed to stretch the spring from 38 cm to 43 cm? (Round your answer to two decimal places.) J
b. How far beyond its natural length will a force of 45 N keep the spring stretched? (Round your answer one decimal place.

Answers

Answer 1

Answer:

2.78J

3.64cm

Explanation:

Natural length is 36 and stretches to 45. 5 J of work is needed

5 = 1/2k(0.45-0.36)²

5 = 1/2k(0.09)²

5 = 0.0081k/2

10 = 0.0081k

K = 1234.568

X1 = 0.38-0.36 = 0.02

X2 = 0.43-0.36 = 0.07

Work done

W = 1/2k(x2²-x1²)

W = 1/2(1234.568)(0.007²-0.02²)

W = 1234.568(0.0049-0.0004)/2

W = 2.78j

F = 45N

F = kx

X = f/k

= 45/1234.568

= 0.0364

= 3.64cm

The answer to A is 2.78j

The answer to b is 3.64cm


Related Questions

define the term energy density of a body under strain​

Answers

Answer:

Please mark as Brainliest!!

Explanation:

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

answer please urgent​

Answers

Answer:

equal and unlike charges

Explanation:

Answer:

[tex]\huge\boxed{\sf Equal \ and \ unlike \ charges}[/tex]

Explanation:

When two bodies are rubs against each other, Charges of equal magnitude are induced in them. However, they are of equal magnitude but the charges are opposite and unlike.

For Example:

If we rub an iron rod with a cotton cloth, a positive charge will be induced in the iron rod and a negative charge will be induced in the cotton cloth. Note that the charges will be of equal magnitude.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Let me know if you have any q's regarding this!

~AnonymousHelper1807

What is the difference in
momentum between a 0.216 kg bird
flying 5.87 m/s and a 7.29 kg baby
crawling 0.234 m/s?

Answers

Answer:

0.438kg/ms-¹

Explanation:

Momentum, denoted by p, can be calculated by using the formula;

p = mv

Where;

m = mass (kg)

v = velocity (m/s)

Momentum (p) of bird = 0.216 kg × 5.87 m/s = 1.268kg/ms-¹

Momentum (p) of crawling baby = 7.29 kg kg × 0.234 m/s = 1.706kg/ms-¹

Having calculated the momentum of the bird to be 1.268kg/ms-¹, and the momentum of the baby to be 1.706kg/ms-¹, the difference in momentum between the flying bird and the crawling baby is:

{1.706kg/ms-¹ - 1.268kg/ms-¹} = 0.438kg/ms-¹

What is the strongest bones in our body?

Answers

Answer:

the femur, or thigh bone

Answer:

The femur bone is the longest and strongest bone in the body.

Explanation:

A shell traveling with speed, v0 , exactly horizontally and due north explodes into two equal mass fragments. It is observed that just after the explosion one fragment is traveling vertically up with speed v0 . What is the velocity of the other fragment? Hint: Velocity has both magnitude and direction.

Answers

Answer:

yeah

Explanation:

yeah yeah yeah yeah

Add these measurements, using significant digit rules:
44.2+0.123=

Answers

Answer:

the answer is 44.323 hope this is usefil

the answer you are looking for is 44.323

answer pls urgent pls​

Answers

Answer:

[tex]\huge\boxed{\sf Hen's \ Egg}[/tex]

Explanation:

Seen with an unaided eye means that is visible to the naked eye.

So,

Hen's Egg can be seen with an unaided eye.

However, Red Blood Cells (RBCs) and Sperm cells need a microscope for them to be seen!

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Can the brain perform two separate tasks at the same time
yes or no​

Answers

Answer:

yes

Explanation:

the brain perform two separate tasks at the same time

A man walks 400 m in the direction 45° north of east. Represent this vector graphically by
selecting a scale and drawing a coordinate system.

Answers

Answer:

Explanation:

Coordinate system is one that describe the location of an object in a given plane. It implies the use of axes (coordinates) and points.

Given that the man in the question walks 400 m due north of east. The cardinal points can be used in this case, with the north and east cardinals as the required axis.

scale = [tex]\frac{length on drawing}{original length}[/tex]

         = [tex]\frac{10}{400}[/tex]

         = [tex]\frac{1}{40}[/tex]

scale = 1:40

This is a reduced scale which implies that 1 cm on the drawing is equal to 40 m on the original length.

The man's direction is [tex]45^{o}[/tex] north of east.

The graphical drawing of the vector is herewith attached to this answer.

Let’s say you have a cart of some mass and when pushed with 10N of force, the cart accelerates at 5.0 m/s/s. If you were to push the same cart with a 20N force:
a. The acceleration would increase
b. The acceleration would decrease
c. The acceleration would remain the same

Answers

Answer:

a. The acceleration would increase.

Explanation:

because we know that

F=ma

m= mass and a= acceleration

so Mass is same for the cart in any situation that's why only acceleration could increase.

Answer:

A

Explanation:

because when the cart is pushed at 10N it at 5.0 the when u increase the N it will keep on increasing...

Identify the charges that are negative.
A B C D​

Answers

B is the answer arc coding to the code of the book is school

Answer:

b and c

Explanation:

A flat coil is in a uniform magnetic field. What angle between the magnetic field and the plane of the coil produces the maximum flux, and what angle produces 90% of the maximum flux

Answers

This question is incomplete, the complete question is;

A flat coil is in a uniform magnetic field. What angle between the magnetic field and the plane of the coil produces the maximum flux, and what angle produces 90% of the maximum flux

A) max: 0°

90% of max: 90°

B) max: 90°

90% of max: 45°

C) max: 90°

90% of max: 64°

D) max: 0°

90% of max: 26°

E) max: 90°

90% of max: 80°

Answer:

Option C) max: 90°

90% of max: 64°  is the correct Answer

Explanation:

from the Suppose Area is A.

then flux at angular position O is

Ф = BAsin∅

⇒ Ф = βmaxSin∅

flux will be max when sin∅ = 1

therefore sin∅ = 1

∅ = sin⁻¹ 1

∅ = 90°

Now at 90% of max flux

Ф ⇒ 0.9βmax = βmax sin∅

0.9 = sin∅

∅ = sin⁻¹ (0.9)

∅ = 64.15° ≈ 64°

Therefore Max ∅ = 90°

90% flux = 64°

Option C) max: 90°

90% of max: 64°  is the correct Answer

Diana is exploring caves on her field trip. She enters a cave and shouts out aloud. She immediately hears the echo of her own voice. What is the most likely reason for the echo?

Answers

Answer:

the cave walls reflect sound waves

Explanation:

i did the study island

Who determined how stars are powered?

Answers

Answer:

NEWTON

Explanation:

ISSAC NEWTON

HOPE IT HELP U

Answer:

hans bethe

Explanation:

Hans Bethe

In 1939, in a paper entitled "Energy Production in Stars", Hans Bethe analyzed the different possibilities for reactions by which hydrogen is fused into helium. He defined two processes that he believed to be the sources of energy in stars.

i looked it up and thats what it said

A 35 degree piece of metal is put into a container of 70 degree water.
Which of these things will happen to the temperature of on of the
objects.
O The temperature of the metal will decrease
O The temperature of the water will increase
O The temperature of the metal will increase
O The temperature of the water will stay the same

Answers

Answer:

The temp. of the metal will decrease

Explanation:

Hope this helps!

What do you do abt onion eyes (MY EYES ARE BURNING BADDD)

Answers

Answer:

Leave onions in cold water for about 15 minutes! Takes out the chemical reaction in the onion's defense system.

Explanation:

This is what people NEED to know for cooking... Lol :)

What kind of motion do you see when using scissors

Answers

Answer:

When we are using scissors, our hand makes an open and close motion.

Explanation:

Mag aral nang mabuti upang buhay ay Bumuti ..mag aral ka wag puro ml

The metric unit of power is _____.

Answers

Answer:

Watt

Explanation:

Power is defined as the work done by an object per unit time. Its mathematical form is given by :

[tex]P=\dfrac{W}{t}[/tex]

The SI unit of work done is Joules (J) and that of time is seconds (s).

J/s is equal to watts. Watt is the metric unit of power.

What becomes V if we use 2 resistors of 4W in parallel?
A. 2.66 V
B. 6 V
C. 12 V
D. 24 V

Answers

Explanation:

The question is incomplete. To get the voltage V across the resistors, we need to total current flowing in the circuit.

Let the current I = 6 A

According to ohms law, V = IRt

V is the total voltage

I is the total current

Rr is the total effective resistance

Since the 2 4ohms resistors are connected in parallel;

1/Rt = 1/4 + 1/4

1/Rt = 2/4

Cross multiply

2Rt = 4

Rt = 4/2

Rt = 2 ohms

Get the voltage V.

V = IRt

V = 6(2)

V = 12V

Hence the required voltage will be 12V

Note that the value of the current used was assumed. The same calculation can be employed for any value of the current

When light is reflected, the incident rays are bent and change direction.
True
False

Answers

Answer: True

Explanation: When light is reflected off lets say a mirror it is bent and changes direction to bounce off of another wall or object. For example if you take a flash light and shine it into a mirror the light reflects into a different direction your welcome

When light is reflected, the incident rays return back in straight direction and never bends and make the material gleaming. Hence, the statement is false.

What is reflection ?

Reflection is the phenomenon that, when waves incident on a material it returns back in straight direction. Both sound wave and light wave can be reflected. But, lightwaves are only reflected from transparent materials.

Reflection of light ray  make the material surface gleaming like in a mirror. Similarly reflection of sound waves produces echos. The phenomenon in which the light wave bends in its direction when moving from one medium to the other is called refraction.

The measure of bending of light in a medium is called the refractive index of that medium. Hence, bending of light is not reflection and it is termed as refraction. Thus, the statement is false.

To find more on reflection, refer here:

https://brainly.com/question/2254222

#SPJ2

When scientists make models of dynamic physical events, they will normally choose to have values that may change as time progresses. What are these values called?

boundary conditions
initial conditions
outputs
gravity

Answers

Answer:

1. Initial conditions

2. The speed of a character at the moment of contact

3. The hardness of the sidewalk where the mug landed

4. The location where potential energy is zero

5. Aerodynamic properties

Explanation:

100%

The values that may change over time in a model are called initial conditions.

Scientists use models to represent actual conditions. A model is always a representation of real life situations and are very useful for explanatory and predictive purposes.

When scientists make models of dynamic physical events, they will normally choose to have values that may change as time progresses. These values are called initial conditions.

Learn more: https://brainly.com/question/8646601

In a hot summer day, a spherical air bubble that has a volume of 1.20 cm3 is released at temperature 17.0 °C by a scuba diver 25.0 m below the surface of ocean. Calculate the radius of the spherical bubble when it reaches the surface at temperature 30 °C? Assume that the number of air molecules in the bubble remain the same (rhosalt water = 1.027 g/cm3 ).

Answers

Answer:

The radius of the bubble when it reaches the surface at 30 ºC is 1.015 centimeters.

Explanation:

Let suppose that air bubble behaves as ideal gas, whose equation of state is:

[tex]P\cdot V = n\cdot R_{u}\cdot T[/tex] (Eq. 1)

Where:

[tex]P[/tex] - Pressure of the bubble, measured in kilopascals.

[tex]V[/tex] - Volume of the bubble, measured in cubic meters.

[tex]n[/tex] - Molar amount of the bubble, measured in kilomoles.

[tex]T[/tex] - Temperature, measured in Kelvin.

[tex]R_{u}[/tex] - Ideal gas constant, measured in kilopascal-cubic meter per kilomole-Kelvin.

Then, we eliminate the molar amount and the ideal gas constant by constructing the following relationship:

[tex]\frac{P_{A}\cdot V_{A}}{T_{A}} = \frac{P_{B}\cdot V_{B}}{T_{B}}[/tex] (Eq. 2)

Where:

[tex]P_{A}[/tex], [tex]P_{B}[/tex] - Pressure of the bubble at bottom and surface, measured in kilopascals.

[tex]V_{A}[/tex], [tex]V_{B}[/tex] - Volume of the bubble at bottom and surface, measured in cubic meters.

[tex]T_{A}[/tex], [tex]T_{B}[/tex] - Temperature of the bubble at bottom and surface, measured in Kelvin.

The pressure experimented by the bubble at bottom and surface are, respectively:

[tex]P_{A} = 101.325\,kPa+\left(1027\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{kg}{m^{3}} \right)\cdot (25\,m)\cdot \left(\frac{1}{1000}\,\frac{kPa}{Pa} \right)[/tex]

[tex]P_{A} = 353.120\,kPa[/tex]

[tex]P_{B} = 101.325\,kPa[/tex]

If we know that [tex]P_{A} = 353.120\,kPa[/tex], [tex]P_{B} = 101.325\,kPa[/tex], [tex]V_{A} = 1.20\times 10^{-6}\,m^{3}[/tex], [tex]T_{A} = 290.15\,K[/tex] and [tex]T_{B} = 303.15\,K[/tex], then the volume of the bubble at surface is:

[tex]\frac{(353.120\,kPa)\cdot (1.20\times 10^{-6}\,m^{3})}{290.15\,K} = \frac{(101.325\,kPa)\cdot V_{B}}{303.15\,K}[/tex]

[tex]1.460\times 10^{-6} = 0.334\cdot V_{B}[/tex]

[tex]V_{B} = 4.372\times 10^{-6}\,m^{3}[/tex]

[tex]V_{B} = 4.372\,cm^{3}[/tex]

And the volume of the air bubble is determined by this formula:

[tex]V_{B} = \frac{4\pi\cdot R^{3}}{3}[/tex] (Eq. 3)

Where [tex]R[/tex] is the radius of the air bubble, measured in centimeters.

If we know that [tex]V_{B} = 4.372\,cm^{3}[/tex], then the radius of the air bubble is:

[tex]4.372 = \frac{4\pi\cdot R^{3}}{3}[/tex]

[tex]R^{3} = 1.044[/tex]

[tex]R \approx 1.015\,cm[/tex]

The radius of the bubble when it reaches the surface at 30 ºC is 1.015 centimeters.

If a car is able to accelerate a 500kg truck at 50m/s^2 what is the force applied by the engine on the car? Please show work

Answers

Answer:

The answer is 25,000 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 500 × 50

We have the final answer as

25,000 N

Hope this helps you

Answer:

Force applied by the engine on the car = 25 kN

Explanation:

Mass (m) = 500 kg

Acceleration (a) = 50 m/s²

The force (F) is equated to the product of the mass times the acceleration.

[tex] \boxed{ \bf{F = ma}}[/tex]

By substituting values, we get:

[tex] \longrightarrow [/tex] F = 500 × 50

[tex] \longrightarrow [/tex] F = 25000 N

[tex] \longrightarrow [/tex] F = 25 kN

PLZZ HELP

How many kg are there in 335 m

Answers

Kg are weight, m are length lol soooooo

answer please urgent​

Answers

Answer:

Explanation:

Potassium is the correct answer

Answer:

[tex]\huge\boxed{Potassium}[/tex]

Explanation:

Group I elements are called alkali metals and are soft but highly reactive (because they have only 1 electron in their outermost shell). Potassium is of Group I (Alkali metal) and is thus soft and highly reactive.

Magnesium and Calcium both are of Group II (Alkaline Earth Metals).

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

How many energy levels does hydrogen have?

Answers

It’s only has one level

A 3.0 kg object moving 8.0 m/s in the positive x-direction has a one-dimensional elastic collision with an object of mass, M, initially at rest. After the collision the object of unknown mass has a velocity of 6.0 m/s in the positive x direction. What is M

Answers

Answer:

1kg

Explanation:

According to law of conservation of momentum

m1u1+ m2u2 = (m1+m2)v

m1 and m2 are the masses of the object

u1 and u2 are their initial velocities

v is their common velocity

Given

m1 = 3kg

m2 = M

u1 = 8m/s

u2 = 0m/s (object at rest)

v = 6.0m/s

Substitute and get M

3(8) + M(0) = (3+M)6

24 = 18+6M

24-18 = 6M

6 = 6M

M = 1kg

Hence the mass M is 1kg

a ball of mass 0.5 kg is at point with initial speed 4 m/s at height 10. what is the total energy​

Answers

Answer:

The total energy is 53 Joule

Explanation:

Mechanical Energy

The mechanical energy of an object of mass m, speed v, and at a height h is:

[tex]\displaystyle E = m.g.h+\frac{mv^2}{2}[/tex]

The ball has a mass of m=0.5 Kg, a speed v = 4 m/s, and at a height of h=10 m. Thus the total energy is:

[tex]\displaystyle E = 0.5\cdot 9.8\cdot 10+\frac{0.5\cdot 4^2}{2}[/tex]

E = 49 J + 4 J = 53 J

The total energy is 53 Joule

Why does a watched pot never boil?

Answers

This phrase means that time seems to slow down when one is waiting for something to happen desperately

Which of the following is a practical example of gravity acting on an object.

A.) A leaf falls from a tree and floats to the ground.

B.) A diver jumps off a diving board and splashes into a pool below.

C.) A car speeds up as a traffic light turns green.

D.) Rain falls from the sky.

Answers

D.) Rain falls from the sky.
Other Questions
the number of moles in 4.5 x10^24 atoms of oxygen is? Ann is maling packages. Each small package costs her $2.80 to send. Each large package costs her $3.20. How much will it cost her to send 4 small packagesand 6 large packages However answers first will be marked brainliest ;) Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottlesof grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water? An insurance policyholder must pay a _______________ for each ______________ service, before insurance covers the rest. A. copayment; uninsured B. deductible; uninsured C. deductible premium; insured D. copayment; insured The Americans were trapped in Brooklyn Heights after being defeated in battle. How was the Continental militia able to overcome this challenge after the Battle of New York? A. George Washington coordinated a retreat across the river without losing a single life. B. George Washington lost the battle and lost the war. C. The English lost the battle because they were inferior. Please Help. I'll give brainliest. DONT ANSWER IF YOU DONT KNOW I WILL REPORT AND YOU WONT EARN ANY POINTS.What was the policy of the Roman Empire regarding religion in its provinces? During Georgia's colonial period, colonists were determined to find economic success through producing all of the following cropsexceptA)SilkB)RiceC)Indigo*****D)Cotton What are the central ideas of the speech? Check the three boxes that apply. The Nez Perc people are motivated by the desire to preserve cultural traditions. To reduce conflict, Americans need to correct their misunderstandings of American Indians. The Nez Perc people are prepared to fight for their land. To reduce conflict, Americans need to stop moving west. The Nez Perc people practice commonly recognized human values and morals. Who else loves Kirishima and Bakugo? Is it just me or what peeps?! Do you think they are just sooooooooooo hot?? Cause... I dooooo!!!!! Yay! Can somebody help plsssss??? -3(2x-3)=-6+9 How do you solve? When your water intake is not enough to replace the water loss of your total bodywater, your body begins to experience the symptoms of Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake. is the valency of carbon 2 or 4 HELPPPPPHow does the rule of law apply to government officials today? if you use the internet please paraphrase it which provides the best evidence that life on earth has changed over the last few million years ? Two white sheep produce both white sheep and black sheep in a 3:1 ratio. How can i do a punett square for this. 6c = 7c 7with work shown Arielle is in high school and is considering a career pathway to pursue after graduation. She has always done best in math classes and enjoys complex problems. In fact, when her friends make costumes and decorations for parties, she is more interested in organizing the supplies for the party and determining the costs involved. Which career pathway would best fit with the skills Arielle displays when helping plan parties If youre explaining when a work of literature was written, what tense should you use? A)future tenseB)literary present tenseC)past tenseD)present tense