49. A vertically hung 0.50-meter- long spring is stretched from its equilibrium position to a length of 1.00 meter by a weight attached to the spring. If 15 joules of elastic potential energy are stored in the spring , what is the value of the spring constant?

Answers

Answer 1

Answer:

[tex]K=120[/tex]

Explanation:

From the question we are told that

Length of spring   [tex]l_1=0.5m[/tex]

Length of stretched [tex]l_s=1m[/tex]

Potential energy of spring [tex]E=15J[/tex]

Generally equation for energy stored is mathematically given as

[tex]U=1/2K \triangle x^2[/tex]

[tex]K=\frac{2U}{\triangle x^2}[/tex]

[tex]K=\frac{2*15}{ 0.5^2}[/tex]

Therefore value of the spring constant in N/m? is given as

[tex]K=120[/tex]

Answer 2

The value of the spring constant is 120 N/m.

Spring constant

The spring constant of the spring is calculated by applying the principle of conservation of energy as follows;

[tex]\frac{1}{2} k \Delta x = U[/tex]

Where;

K is the spring constantΔx is the extensionU is the elastic energy

The value of the spring constant is calculated as follows;

[tex]k = \frac{2U}{\Delta x} \\\\k = \frac{2\times 15}{0.5^2}\\\\k = 120 \ N/m[/tex]

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Related Questions

What happens to an object when there are no forces acting on it or all the forces acting on it are balanced?

Answers

Answer:

It stays and remains at rest

Explanation:

When no forces acts on an object or all the forces on it are balanced, the body stays at rest or remains stationary.

This is based on the Newton's law of inertia which states that "an object will remain in a state of uniform motion or at rest unless an external force acts on it".

If the forces acting on a body is balanced, the object will perpetually remain and keep at rest

A 10 kg ball is released from the top of a hill. How fast
is the ball going when it reaches the base of the hill?
Approximate g as 10 m/s2 and round the answer to the
nearest tenth.
m/s
hy = 2 m
h = 0.5 m

Answers

Answer: 5.5 m/s

Explanation:

5.5 is the answer for edge :)

17. A car traveling with a velocity of 45 m/s and has a mass of 1120 kg. The car has kinetic energy. Calculate it

Answers

1134000J

Use the formula for kinetic energy K= 1/2*m*v^2

K=(1120*45^2)/2=1134000 Joule

Answer:

kg

Explanation:

The car transports 180 m in 12 s. Calculate its speed and express it in m / s and in km / h

Answers

Explanation:

Given parameters:

Distance  = 180m

Time  = 12s

Unknown:

Speed  in m/s and km/hr

Solution:

Speed is the distance divided by the time taken,

   Speed  = [tex]\frac{distance}{time}[/tex]  

So;

     Speed  = [tex]\frac{180}{12}[/tex]   = 15m/s

   1000m = 1km

  3600s  = 1hr

Therefore;

   15 x m x [tex]\frac{1}{s}[/tex]  x [tex]\frac{1km}{1000m}[/tex] x [tex]\frac{3600s}{1hr}[/tex]    = 54km/hr

On Distance Displacement Position vs. Time graphs. Velocity vs. Time graphs, and Acceleration vs. Time graphs, which vanable is always on the x-axis? A:Distance/Displacement/Position C:Acceleration B:Time D:Velocity​

Answers

Answer:

your question dosent make sense?

Explanation:

Answer:

The time is always in the x axis.

Explanation:

If a dog is running at 4.38 m/s for 37.34 seconds, how far will it go?

Answers

Answer:

163.5m

this is how far the doggo would go

(In theory)

If I'm wrong I apologize

Need help ASAP please and thank you

Answers

Answer:

H

Explanation:

Answer:

Pacific Ocean and Nazca plates is moving to west

Explanation:

beacause if they move to west they will move to the left

why the student should not heat the oil directly with a flame.

Answers

it is possible that, when oil reaches a high enough temperature, it can ignite and burn very fiercely, being difficult to extinguish.

What is the unit of work? (select all that apply) *

force

Kg*m/s^2

kg*m^2/s^2

joule

A lastname

none of the above

Answers

Answer:

Joule is the answer

Please give me brainleast

Joule is the unit of work .

What is meant by work ?

Activity that a person habitually engages in to earn a living is activity that persons looking for job engage in.

Activity in which one utilises strength or faculties to do or do anything. a particular duty, responsibility, function, or assignment that often forms a component or stage of a bigger action.

Thus, Joule is the SI unit of work (J). The work accomplished by a force of one newton creating a displacement of one metre is known as a joule.

To learn more about Joules, refer to the below link:

https://brainly.com/question/23501345

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How far does Andre have to push a box to do 430 J of work, if he applies a force of 15 Newtons

Answers

Answer:

28.7m

Explanation:

Given parameters;

Work done  = 430J

Force applied  = 15N

Unknown:

Distance moved  = ?

Solution:

Work done is the force applied to move a body through a certain distance.

     Work done  = Force x distance

So;

         430  = 15 x distance

      Distance  = 28.7m

how do i calculate this?

Answers

CAR 1

Momentum = Mass/Velocity

M = 2100/20

M = 105 m/s^2

CAR 2

Momentum = Mass/Velocity

M = 2100/30

M = 70 m/s^2

proverbs from taiwanese

water can help a boat float, but it can also sink it​

Answers

Answer:

A beautiful person might not have a beautiful life.

Explanation:

Answer:

yes cause water has weight and too much weight can tip or even sink the boat

Explanation:

If a crane uses 500 Joules to raise bricks 20 meters how much Newton’s of force were used

Answers

Answer:

25N

Explanation:

Given parameters:

Potential energy expended  = 500J

Height  = 20m

Unknown:

The force used = ?

Solution:

To solve this problem, we use the expression below:

       Potential energy  = Force applied x height

         500  = Force applied  x 20

     Force applied  = 25N

Sue and Shannon are having an argument about diet myths. In order to settle the argument, select the "myth" that is really a TRUE statement.

Answers

Answer:

To lose weight, you must use more weight than you consume. (D.)

Explanation:

I took the test and got a 100

One role of a producer in a food chain is to provide? A) water for plants B) sunlight for plants C) nutrients for animals D) shelter for animals

Answers

Answer:

Nutrients for animals

Explanation:

Producers are organisms that produce their food, they do not need to depend on other animals for their food. They possess photosynthetic properties that enable them to produce their food.

These set of organisms are located at the bottom of the food chain, they can convert components like water, sunlight and air into carbohydrate through the unique process of photosynthesis.

Without these producers, the food chain would not exist as they form the base and foundation of the food chain, some lower animals depend on them as their source of food.

A shearing of 50N is applied to an aluminum rod with a length of 10m a cross sectional area of 1.0×10-5 and a shear modulus of 2.5×1010 as result the rod is sheared through a distance

Answers

Answer:

0.002 m or 2 mm

Explanation:

Given that:

Force, F = 50N

Area = 1 * 10^-5

Length, L = 10m

Shear modulus, = 2.5 * 10^10

Using the relation ;

D = (50 ÷ 1*10^-5) ÷ (2.5 * 10^10 ÷ 10)

D = 5000000 ÷ 2.5 * 10^9

D = 5 * 10^6 ÷ 2.5 * 10^9

D = (5/2.5) * 10^(6-9)

D = 2 * 10^-3

D = 0.002 m

1m = 1000 mm

0.002m = (1000 * 0.002) = 2 mm

Xavier is administering medication to his patient. He administers four cups 4 points
of liquid with two ounces in each and one cup of liquid with three ounces.
How many ounces of liquid did the patient get? *
9 ounces
11 ounces
14 ounces
24 ounces

Answers

Answer:

11 ounces

Explanation:

The patient gets 11 ounces of liquid.

From the description of this problem:

        Xavier administers  four cups of liquid each containing two ounces

The number of ounces in the four cups = 2 x 4  = 8ounces

Also,

   One cup of the liquid contains 3 ounces.

Total number of ounces administered  = 8 + 3  = 11 ounces.

Can we always see the same amount of the illuminated side of the Moon from Earth? Explain. Thanks so much for everyone's help! :)

Answers

Answer:

Nope.

Explanation:

No. The Moon rotates on its own axis at the same rate that it orbits around Earth. That means we always see the same side of the Moon from our position on Earth. The side we don't see gets just as much light, so a more accurate name for that part of the Moon is the "far side."

No, we can't see the similar quantity of the illuminated side of the Moon from the planet (Earth).

The gravitation of the moon somewhat distorts the form of our entire globe as well as provides us tidal waves. Earth also taps upon that moon, generating a stony and high-threshold "bulge" that faces us.It finished functioning like something of brakes and slowed right down the moon's rotation to the common material, and therefore high moonlight tide confronts us constantly.

Thus the above answer is correct.

Learn more:

https://brainly.com/question/11606610

plzzzzzz help :(((((((((((

Answers

Answer:

4. a) F

b) E

c) B

d) D

Hope it helps

F E B D, I think this is right...

What is neptune made out of?

Answers

Answer:

Structure. Neptune is one of two ice giants in the outer solar system (the other is Uranus). Most (80 percent or more) of the planet's mass is made up of a hot dense fluid of "icy" materials—water, methane and ammonia—above a small, rocky core. Of the giant planets, Neptune is the densest.

Explanation:

Answer:

Neptune is one of two ice giants in the outer solar system (the other is Uranus). Most (80 percent or more) of the planet's mass is made up of a hot dense fluid of "icy" materials—water, methane and ammonia—above a small, rocky core. Of the giant planets, Neptune is the densest.

A 900 kg car has a momentum of 11,700 kg-m/s towards the west. What is the magnitude and direction of its velocity?​

Answers

Answer:

mv=11700

m=900

v=11700/900=13m/s in west

Which color of visible light has a shorter wavelength than blue light? O A. Red O B. Green O C. Violet OD. Orange A​

Answers

Answer:

It's violet........

Explanation:

This was right for me.

The color of visible light that has a shorter wavelength than blue light is Red. The correct option is A.

What is electromagnetic spectrum?

The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves and visible light waves, ultraviolet rays and microwaves.

They possess high energy even to penetrate deep within the material. electromagnetic spectrum ranges from longer wavelength and less frequency to shorter wavelength and high frequency.

The light with higher wavelength is Blue and the shorter wavelength is Red and the rest of all spectrum colors are in between.

Thus, the correct option is A.

Learn more about electromagnetic spectrum.

https://brainly.com/question/23727978

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To date, Saturn is known to have 13 rings made from which of the following?

A. Dust
B. Dark particles
C. Moons
D. Stars

Answers

Answer:

it is believed to be shattered moons, asteroids, and comets, so C

Explanation:

2. Suppose your car has a maximum braking acceleration of -5 m/s2. Calculate the stopping distance for an initial speed of 25 m/s.

Answers

Answer:

s=62.5m

Explanation:

Use the equation v²=u²+2as, where v is the final velocity, u is the initial velocity, a is the acceleration and s is the distance.

0²=25²+2(-5)s

10s=625

s=62.5m

A moving sidewalk has a velocity of 1.3 m/s north. If a man walks south on the sidewalk at a speed of 0.9 m/s, how long does it take him to travel 20 m relative to a stationary observer? O A. 21.9 s B. 15.4 s O C. 33.3 O D. 50.0 S

help please!!!

Answers

Answer:

D: 50 s

Explanation:

We are told that the sidewalk has a velocity of 1.3 m/s north.

Also, we are told that the man walks south on the sidewalk at a speed of 0.9 m/s.

Thus, it means they are moving in opposite directions. The net velocity of the man will be;

v_net = 1.3 - 0.9

v_net = 0.4 m/s

We want to find how long does it take him to travel 20 m relative to a stationary observer,thus;

We we know that;

Time = distance/speed

Time = 20/0.4

Time = 50 s

Do the atoms in salt follow a pattern

Answers

Answer:

Explanation:

Yes, the atoms in a salt do follow a pattern knows as crystalline pattern or crystalline structure. It means it has an ordered arrangement of atoms or ions. As salt is an ionic compound of Sodium and Chlorine, it is formed through ionic bond. This pattern keeps on repeating for each molecule of NaCl

Answer:

yes they do crystalline pattern as well as othe ionic compounds.

A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration?

plz, show the equation.

Answers

Answer:

6m/s²

Explanation:

Given parameters:

Initial velocity  = 4m/s

Time  = 3s

Final velocity  = 22m/s

Unknown:

Average acceleration  = ?

Solution:

Acceleration is the rate of change of velocity with time taken.

    Acceleration  = [tex]\frac{Final velocity - Initial velocity }{Time}[/tex]  

Acceleration  = [tex]\frac{22 - 4}{3}[/tex]    = 6m/s²

Help please!
What happens to holes in the ground over time due to weathering and erosion?

Answers

Answer:

They are buried in the ground due to weathering and erosion

Explanation:

Answer:

They are buried in the ground due to weathering and erosion.

Milk in a hot cup can be cooled by pouring its back and fourth between the bigger cup.How does this action help to cool milk?

Answers

Put it in the fridge

What are the characteristics of stars on
the main sequence of the Hertzsprung-
Russell diagram?

Answers

Answer:

The main sequence stretching from the upper left (hot, luminous stars) to the bottom right (cool, faint stars) dominates the HR diagram. It is here that stars spend about 90% of their lives burning hydrogen into helium in their cores. Main sequence stars have a Morgan-Keenan luminosity class labelled V.

Explanation:

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