A spring with a constant of 76 N/m is extended by 0.9 m. How much energy is stored in the extended spring?

Answers

Answer 1

Answer:

[tex]E=30.78\ J[/tex]

Explanation:

The force constant of the spring, k = 76 N/m

The extension in the spring, x = 0.9 m

We need to find the energy is stored in the extended spring. The energy stored in the spring is given by :

[tex]E=\dfrac{1}{2}kx^2\\\\E=\dfrac{1}{2}\times 76\times (0.9)^2\\\\E=30.78\ J[/tex]

So, 30.78 J of energy is stored in the spring.


Related Questions

A 450.0 kg roller coaster is traveling in a circle with radius 15.0m. Its speed at point A is 28.0m/s and its speed at point B is 14.0 m/s. At point A the cart is already moving with circular motion. a) Draw free bodydiagramsfor the cartatpointsAand B(two separate free body diagrams). b) Calculate the acceleration of the cartat pointsAandB(magnitude and direction). c) Calculate the magnitude of the normal force exerted by the trackson the cartat point A. d) Calculate the magnitude of the normal force exerted by the tracks on the cart at point B.

Answers

Answer:

b)  a = 52.26 m / s², a ’= 13.06 m / s², c) N = 2.79 10⁴ N, d) N = 1.89 10³ N

Explanation:

a) In the attached we can see the free body diagrams for the two positions, position A in the lower part of the circle and position B in the upper part of the circle

b) Let's start at point A

Let's use that the acceleration is centripetal

           a = v² / r

let's calculate

            a = 28² / 15.0

            a = 52.26 m / s²

as they relate it is centripetal it is directed towards the center of the circle, therefore for this point it is directed vertically upwards

Point B

           a ’= 142/15

           a ’= 13.06 m / s²

in this case the acceleration is vertical downwards

c) The values ​​of the normal force

point A

let's use Newton's second law

           ∑ F = m a

           N- W = m a

           N = mg + ma

           N = m (g + a)

           N = 450.0 (9.8 + 52.25)

           N = 2.79 10⁴ N

d) Point B

            -N -W = m (-a)

             N = ma -m g

             N = m (a-g)

             N = 450.0 (14.0 - 9.8)

             N = 1.89 10³ N

A pelican hunts fish in the water. As the pelican flies above the water’s surface, why must it aim for the fish in a slightly different place than where the fish appears to be located?
A. Light reflects off the fish, except for light of the wavelength the fish absorbs, making the fish hard to see.
B. Water absorbs most of the light, so not much light reaches the pelican’s eyes.
C. Energy from the ocean waves is transferred to the light waves.
D. Light waves are refracted as they travel from air to water.

Answers

Light reflects off the fish, except for light of the wavelength the fish

absorbs, making the fish hard to see which is why it must aim for the fish in

a slightly different place.

What is Reflection?

This is the change in the direction of propagation of a wave that strikes the

boundary between different mediums and in this case, the medium is

water.

The change in direction which occurs during reflection of the light

makes it harder for the Pelican  ro see which is why it must aim for the

fish in a slightly different place.

Read more about Reflection here https://brainly.com/question/26494295

Glenn shoots an arrow at a 30.0 degree angle. It has a velocity of 65.0 m/s.

How far will the arrow travel? *

Answers

Answer:

The horizontal distance traveled by the projectile is 373.36 m.

Explanation:

Given;

angle of projection; θ = 30⁰

initial velocity of the projectile, u = 65 m/s

The horizontal distance traveled by the projectile or range of the projectile is calculated as;

[tex]R = \frac{u^2 \times sin(2\theta)}{g} \\\\R = \frac{65^2 \times sin(2\times 30^0)}{9.8}\\\\R = \frac{4225\times sin(60)}{9.8} \\\\R = 373.36 \ m[/tex]

Therefore, the horizontal distance traveled by the projectile is 373.36 m.

If a 9851.6 kg vw van is moving at a speed of 16.7 m/s, what is the momentum? Round answer to the nearest hundredth

Answers

Answer:

the momentum is 164500 kg m/s

Explanation:

The computation of the momentum is shown below:

As we know that

Momentum is

= mass × velocity

= 9851.6 kg × 16.7 m/s

= 164522 kg·m/s

= 164500 kg m/s

hence, the momentum is 164500 kg m/s

Integrate your expressions for dEx and dEy from θ=0 to θ=π. The results will be the x-component and y-component of the electric field at P

.

Express your answers separated by a comma in terms of some, all, or none of the variables Q

and a and the constants k and π.

Answers

Answer:

hello your question is incomplete below is the missing part

Ex = 0

Ey = [tex]\frac{-2kQ}{\pi a^2}[/tex]

Explanation:

Attached below is a detailed solution showing the integration of the expression dEx and dEy from ∅ = 0 to ∅ =π

Ex = 0

Ey = [tex]\frac{-2kQ}{\pi a^2}[/tex]

What is the best anime show to watch? I need to watch some more anime and I need some shows lol

Answers

Try watching Demon Slayer on Netflix. It's a new series, and it's very entertaining to watch!! :)

(Brainliest please!)

The wire A and B are made of copper. Both w
wires are in
long but wire A is 1mm thick and wire B is 2mm thick, the
specific resistance is
a) more than A
b) more than B
c) same for both
d) cannot compared​

Answers

the specific resistance is more than B

what are the types of energy sources based on
time of replacement ? write down their names

Answers

Answer:

solar energy

wind power

geothermal energy

hydraulic power

biomass energy

energy storage

(That's all I know).

Explanation: In general there are three sub-segments of "alternative" energy investment: solar energy, wind energy and hybrid electric vehicles. Alternative energy sources which are renewableand have lower carbon emissions than fossil fuels are hydropower, windenergy, solar energy, geothermalenergy, and bio fuels.

We assume the foam plate has a positive charge when rubbed with paper towels.

Lift the pan away from the charged plate using the styrofoam cup. Briefly touch the rim of the pan to neutralize it. Place the neutralized pan on the plate and observe the tape rise. When the pan is on the plate, the rim of the plate has a _____________. This means that the pan base is ________________ charged because the net charge on the pan is __________. You know that this must be the case because as you lift the pan with the cup away from the plate, the tape on the rim goes down.

Answers

Answer:

POSITIVE CHARGE,  NEGATIVE CHARGE,  ZERO

Explanation:

To solve this completion exercise, we must remember that charges of the same sign repel each other and in a metallic object (frying pan) the charge is mobile.

Let's analyze the situation when we touch the pan, the charges are neutralized, therefore when we bring the pan to the plate that has a positive charge, it attracts the mobile negative charges in the pan, until it is neutralized, therefore on the opposite side of the pan. pan (edge ​​with a glued tape) is left with a positive charge; therefore the edge and the tape, which is very light, have positive charges and repel each other.

We must assume that the frying pan is insulated so that the net charge is zero, since the induction process.

Consequently the words to complete the sentence are

When the pan is on the plate, the edge of the plate has a _POSITIVE CHARGE_____.

This means that the base of the container is loaded NEGATIVE CHARGE_____ because the net charge of the container is ___ZERO_



Describe how a student would use the circuit to take the readings necessary to determine the

resistance of resistor R.

Answers

Answer:

[tex]R = \frac{V}{A}[/tex]

Explanation:

See attachment for circuit

From the circuit, we have:

[tex]V = Voltage[/tex]

[tex]A = Current[/tex]

[tex]R = Resistance[/tex]

Resistance is calculated as:

[tex]R = \frac{V}{A}[/tex]

The steps are as follows:

Step 1: The student needs first to power on the circuit

Step 2: The student then take readings from both the ammeter (for current) and from the voltmeter (for voltage)

Step 3: Record new readings for current and voltage by adjusting the variable resistor

Step 4: Draw a voltage-current graph

Step 5: : Lastly, calculate the slope of the graph

The slope represents the resistance

what is the relation of pressure of a liquid with its depth and density?​

Answers

Answer:

★ Pressure and depth have a directly proportional relationship. This is due to the greater column of water that pushes down on an object submerged. Conversely, as objects are lifted, and the depth decreases, the pressure is reduced.

Explanation:

Hope you have a great day :)

A simplified model of a bungee jump can be analyzed in two sections: a freefall section in which the bungee cord has not yet begun stretching and a section in the lower portion of the jump in which the bungee cord stretches and exerts a force on the jumper. The cord is assumed to exert zero force on the jumper until its length exceeds its maximum unstretched length. Determine the maximum unstretched length of a bungee cord of spring constant 100 N/m such that a 70-kg jumper will not hit the ground when jumping from a height of 45 m.

Answers

Answer:

[tex]20.14\ \text{m}[/tex]

Explanation:

m = Mass of person = 70 kg

k = Spring constant = 100 N/m

h = Total length of the bungee cord = 45 m

The energy balance of the system is

[tex]mgh=\dfrac{1}{2}kx^2\\\Rightarrow x=\sqrt{\dfrac{2mgh}{k}}\\\Rightarrow x=\sqrt{\dfrac{2\times 70\times 9.81\times 45}{100}}\\\Rightarrow x=24.86\ \text{m}[/tex]

Maximum unstretched length would be [tex]h-x=45-24.86=20.14\ \text{m}[/tex].

TWO forces, one of 12N and another or 24N

act on body in such a way that they make an angle of 90° with each other. Find the resaltant of two forces.

Answers

Answer:

26.833 N

Explanation:

The computation of the resaltant of two forces is shown below:

Given that

Force A = 12N

Force B = 24N

Based on the above information  

Resultant R is

[tex]=\sqrt{A^2 + B^2 + 2AB \times cos \theta}\\\\=\sqrt{144 + 576 + 2\times 24\times 12\times cos90^{\circ}}\\\\=\sqrt{144+576+576\times 0}\\\\=\sqrt{720}[/tex]

=26.833 N

You are standing on the bottom of a lake with your torso above water. Which statement is correct?

a. You feel a buoyant force only when you momentarily jump up from the bottom of the lake.
b. There is a buoyant force that is proportional to the weight of your body below the water level.
c. There is a buoyant force that is proportional to the volume of your body that is below the level of the water.
d. There is no buoyant force on you since you are supported by the lake bottom.

Answers

Answer:

c. There is a buoyant force that is proportional to the volume of your body that is below the level of the water.

Explanation:

Buoyancy can be defined as a force which is created by the water displaced by an object.

Simply stated, buoyancy is directly proportional to the amount of water that is being displaced by an object.

Hence, the greater the amount of water an object displaces; the greater is the force of buoyancy pushing the object up.

The buoyancy of an object is given by the formula;

[tex] Fb = pgV [/tex]

[tex] But, \; V = Ah [/tex]

[tex] Hence, \; Fb = pgAh [/tex]

Where;

Fb = buoyant force of a liquid acting on an object.

g = acceleration due to gravity.

p = density of the liquid.

v = volume of the liquid displaced.

h = height of liquid (water) displaced by an object.

A = surface area of the floating object.

The unit of measurement for buoyancy is Newton (N).

In this scenario, you are standing on the bottom of a lake with your torso above water. Thus, there is a buoyant force that is proportional to the volume of your body that is below the level of the water.

what are the importance of regulare
health examination.​

Answers

Answer:

The purpose of regular health examination is to evaluate health status, screen for risk factors and disease, and provide preventive counseling interventions. The major benefits of regular health examination is early detection of treatable disease.

Two charged particles exert a force of 0.042 N on each other. Suppose that the particles are moved such that they are now one-eighth as far apart. What is the new force between the particles?

Answers

Answer:

New force = 2.688 N

Explanation:

Given that,

Two charged particles exert a force of 0.042 N on each other.

Let the initial distance is r. Later the particles are moved such that they are now one-eighth as far apart.

New distance, r' = (r/8)

The force between particles is given by :

[tex]F'=\dfrac{kq_1q_2}{r'^2}\\\\F'=\dfrac{kq_1q_2}{(\dfrac{r}{8})^2}\\\\F'=\dfrac{kq_1q_2}{\dfrac{r^2}{64}}\\\\F'=64\times \dfrac{kq_1q_2}{r^2}\\\\F'=64\times F\\\\F'=64\times 0.042\\\\F'=2.688\ N[/tex]

So, the new force is 2.688 N.

Mr. Voytko wants to know how high in meters he can lift an 0.3 kg apple with 7.35 joules?

Answers

Answer:

the height above the ground through Mr. Voytko lifted the apple is 2.5 m.

Explanation:

Given;

energy of Mr. Voytko, E = 7.35 J

mass of the apple, m = 0.3 kg

Apply the principle of conservation of energy.

Energy of Mr. Voytko = Potential energy of the apple due to its height above the ground.

E = mgh

where;

h is the height above the ground through Mr. Voytko lifted the apple.

g is acceleration due to gravity = 9.8 m/s²

h = E / (mg)

h = 7.35 / (0.3 x 9.8)

h = 2.5 m

Therefore, the height above the ground through Mr. Voytko lifted the apple is 2.5 m.

Cloudy days tend to have a greater range of temperatures than clear days. True or false?

Answers

Answer:

true

Explanation:

Answer:

true

Explanation:

A 60 kg student weighs 600 N.
He does a bungee jump.
Calculate the change in gravitational potential energy as the student falls 50 m.
Give the unit.

Will give brainliest!

Answers

Answer:

30 000 J/Nm

Explanation:

60 x 10 x 50

=600 x 50

=30000 J/Nm

The change in gravitational potential energy of the student is 18000 Joule.

What is gravitational potential energy?

The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

Given parameters:

Mass of the student: m = 60 kg.

Weighs of the student: W = 600 N.

the student falls h =50 m.

Hence, change in gravitational potential energy of the student =

Weighs of the student × change in height

= 600 N × 30 m

= 18000 Joule.

So, the change in gravitational potential energy of the student is 18000 Joule.

Learn more about potential energy here:

https://brainly.com/question/24284560

#SPJ2

PLEASE HELP! I WILL GIVE BRAINLIEST! :D
Which of these is true about the total energy in an object?

A - Can be destroyed

B - Cannot be constant

C - Cannot be transferred to other objects

D - Can be changed from one form to another

Answers

Answer:

Can be changed from one form to another

Explanation:

According to the law of conservation of energy the total energy of a system remains conserved. It only change state from one form of energy to another.

The total energy is also known as mechanical energy. It is equal to the sum of kinetic energy and the potential energy.

Hence, the correct option is (d) "can be changed from one form to another".

Answer:

D - Can be changed from one form to another

is 250 000 miles from the earth to the moon" is a qualitative
Observation
TRUE
Or false

Answers

Answer:

True

Explanation:

When talking about the products of photosynthesis, why is it a HUGE issue when a vast amount of the rainforests is dying along with vast amounts of forests from fires/deforestation? Remember, we know that this hurts the ecosystems of animals living there, but what else does it effect?
Question 5 options:


the creation of too much smoke


the creation of carbon dioxide


the creation of carbon monoxide


the creation of oxygen

Answers

Answer:

the creation of oxygen

Explanation: i just took the k12 test :)

What is any push or pull on an object called?

Answers

Answer:

A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects.

Explanation:

what's the speed of the man who runs 10 miles in 2hrs?​

Answers

The man would be running at 5 miles per hour.
What you’re looking for is:
5 miles per hour

Given that Carbon-14 has a half-life of 5700 years, determine how long it would take for
this reduction to occur.

Answers

Answer:It will take about 3000 years

Explanation:

Can any wan help pls

Answers

Answer:

b

Explanation:

because of bonds and the bowl is used for heating purpose

Answer:

I think b not sure but I hope its right and is that the nwea test??

I found the answer so first reply saying “apple” gets brainliest!!

Answers

Answer:

apple

Explanation:

The power of a wave comes from the wave's ..

Answers

Answer:

waves energy i think

Explanation:

How much time does it take a dropped object to fall 180 m on Earth?
18 s
36 S
10 s
6s

Answers

Answer:

6s

Explanation:

Assume it is dropped from rest and the gravitational acceleration is 10

By the equation of motion under constant acceleration:

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

180 = (0)t+10(t^2)/2

t = 6 or -6 (rejected)

t = 6 s

HELP PLS!
(LOOK AT THE PICTURE)

Answers

The answer is b !!!! Hope it helps
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