PLEASE HELP, WILL MARK BRAINLIEST!!!!!!!
A mass m is dropped from height h above the top of a spring of constant k mounted vertically on the floor.
Find the spring's maximum compression.
Express your answer in terms of some or all of the variables: m , h , k , and gravitational constant g .

m*g/k (1 + √(1 + 2k*h/m*g))
Is this answer correct and why? Or is it something else?

Answers

Answer 1

I think your answer may be wrong.

The mass's potential energy at the start is mgh; this gets converted to kinetic energy as it falls (assuming no air resistance), so that by conservation of energy,

mgh = 1/2 mv²   ⇒   v = √(2gh)

where v is the velocity of the mass when it first comes into contact witht he spring.

As the spring is compressed, it performs work on the mass as it slows to a rest at maximum compression. If x is the maximum compression, then the spring does -1/2 kx² of work. (negative since it opposes the downward fall)

By the work-energy theorem (total work is equal to change in kinetic energy),

-1/2 kx² = 0 - 1/2 mv²

Plug in v and solve for x :

kx² = m (√(2gh))²

x² = 2mgh/k

x = √(2mgh/k)


Related Questions

The picture shows an object resting on a balance.

The object on the balance weighs 0.500 kilograms.

The weight of an object is given by F = mg, where g = 9.8 m/s2. With what force does the object push down on the balance?

Choose the correct answer.


9.3 kg⋅m/s2
9.3 kg⋅m/s, 2

9.8 kg⋅m/s2
9.8 kg⋅m/s, 2

4.90 kg⋅m/s2
4.90 kg⋅m/s, 2

0.500 kg⋅m/s2
0.500 kg⋅m/s, 2
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Answers

Answer:

4.90kgm^-2

Explanation:

A steam engine is working. What is the transformation of energy?​

Answers

As its name suggests, the steam engine operates on the force of water vapor (steam) heated to high pressure. It is a technology that converts thermal energy (heat) to mechanical energy (work).

Vector A points north and vector B points east. If c = B - A , then vector C points where?

Answers

Answer:

South of East

Explanation:

If vector A points north and vector B points east, then vector C, calculated as C = B - A, will point in the direction of the resultant vector when subtracting vector A from vector B. Vector C points in the northeast direction.

Since vector A points north and vector B points east, we can visualize this on a coordinate plane. Let's assume that vector A has a magnitude of 1 and vector B has a magnitude of 1 as well. Vector A would be pointing directly upward (north), and vector B would be pointing directly to the right (east).

When subtracting vector A from vector B (C = B - A), we can visualize it by starting at the tail of vector A and drawing the resultant vector to the head of vector B. The resultant vector C would be a diagonal vector pointing northeast, forming a 45-degree angle with the positive x-axis. Therefore, vector C points in the northeast direction.

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What is one benefit of smart meters?

Answers

Answer:

 You get up-to-date readings 

Explanation:

1 Choose the picture you think shows the gravity forces on the Earth and the Sun.
(a longer arrow to represents a big force, and a shorter arrow represent a smaller force)
b)
c)
a)
.
d)
e)
o

Answers

The force of gravity of the sun on Earth is a large force, and it can be represented by a longer arrow.

Force of gravity of sun on Earth

The force of gravity of the sun on Earth is determined using the following formula.

F = mg

where;

m is mass of the earth = 5.97 x 10²⁴ kgg is acceleration due to gravity of EARTH due to SUN = 9.8 m/s²

F = 5.97 x 10²⁴ x  9.8

F = 5.85 x 10²⁵ N

Thus, the force of gravity of the sun on Earth is a large force, and it can be represented by a longer arrow.

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An object with a mass of 70.5 kg is placed on a 2-meter strand of metal (with a 2-millimeter radius) hanging from the ceiling. It stretches 1 millimeter. What is this strand made of?

Answers

Based on the value of the Young's modulus, the strand of the metal is made of copper.

Young's modulus of the metal

The Young's modulus of the metal is calculated as follows;

E = stress/strain

Stress of the metal

The stress of the metal is calculated as follows;

σ = F/A = mg/A

where;

A is area of the metal

A = πr²

A = π( 2 x 10⁻³)²

A = 1.257 x 10⁻⁵ m²

σ = (70.5 x 9.8) / (1.257 x 10⁻⁵)

σ = 5.5 x 10⁷ N/m²

Strain of the metal

The strain is calculated as follows;

strain = x/L

where;

x is extension

L is original length

strain = (1 x 10⁻³ m) / 2 m

strain = 5 x 10⁻⁴

Young's modulus of the metal

E = stress/strain

E = (5.5 x 10⁷ ) / (5 x 10⁻⁴)

E = 1.1 x 10¹¹ N/m²

E = 110 Gpa

The Young's modulus of copper metal is 110 Gpa

Thus, based on the value of the Young's modulus, the strand of the metal is made of copper.

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What is the cycle of a breaststroke?

Answers

Answer:

Breaststroke can be divided up into 4 distinct phases, which consists of the out sweep, in sweep, breathing phase, and lunge, extension, or recovery phase.

Explanation:

pa follow po

A student uses a candle to model the process of an existing rock becoming an igneous rock. Which procedure best demonstrates the formation of an igneous rock?A) Melt the candle in a dish on a hotplate and keep it in liquid form.B) Break the candle into small pieces and crush the small pieces until they stick together.
C) Place books on top of the candle to apply pressure, and then heat it so its composition changes.D) Hold the lit candle over a small dish, and then let the melted candle wax that drops into the dish cool and harden.

Answers

Answer:

D) Hold the lit candle over a small dish, and then let the melted candle wax that drops into the dish cool and harden.

N:B-- IT MUSTN'T REMAIN IN LIQUID FORM; IT MUST COOL & SOLIDIFY.

Explanation:

Igneous rocks are formed when magma cools and solidifies in the earth's crust.

 Their characteristics are;Crystalline in nature.Are massive.Lack fossils

what are the two most important traits between a whale and a shark?

Answers

Answer:

Both are aquatic animals and are hunters

Explanation:

Assume that the body's muscle mechanism can be approximated by a spring with a uniform continuous mass distribution that follows Hooke's law. Concerning this,
A) find the effective mass of the spring with mass m.
Then, estimate the potential energy which can be mechanically stored in B) the muscles of each arm, and
C) the muscles of each leg,
and estimate the spring constant of
D) each arm muscles, and
E) each leg muscle.
F) Now, could estimate the speed of a runner by using these results?

Answers

Based on Hooke's law, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.

What is the spring constant?

The spring constant or stiffness constant of an elastic spring is constant which describes the extent a bit forceapplied to an elastic spring will extend it.

Spring constant, K = force/extension

Assuming, a body's muscle mechanism is a spring obeying Hooke's law, the effective mass of the spring with mass m is 1/3 of the mass of the spring = m/3

The potential energy that can be stored = ke^2 / 2

where K is spring constant and e is the extension produced.

Therefore, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.

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if a copper coin with a volume of exactly 50 cubic cm is dropped into the volume of water 4cubic cm,how much water will be overflown (water is half way of the can)

Answers

Answer:

50 cubic cm

Explanation:

As the water displaces 50 cubic centimeters the amount of water that must leave the container for it to be able to be dropped into it is also 50 cubic as the water which was in its place must have gone somewhere.

A ball is thrown directly upwards at 25 ms and the same time another ball is released from height of loom. At what height and time will the balls meets?​

Answers

Answer:

Explanation:

When the balls meets, the time should be the same, let say t.

For the first ball (released from a loom):

[tex]\bar{h}=\frac{1}{2}gt^{2}[/tex] (Free fall motion) ([tex]\bar{h}[/tex] = the distance travelled by the first ball, measured from the loom)

So, we can find that [tex]\bar{h}=\frac{1}{2}(10t^{2})=5t^{2}[/tex]

For the second ball (which is thrown directly upwards):

[tex]y=v_{o}t-\frac{1}{2}gt^{2} = 25t-5t^{2}[/tex]

Because the height of the loom is h :

[tex]h=\bar{h}+y[/tex]

[tex]h=25t[/tex]

So, the time when two balls meets is : [tex]t=\frac{h}{5}[/tex] (In this question, the height of the loom h is not declared). When the height of the loom is known, you can calculate the time and the value of [tex]\bar{h}[/tex] or y

which is closely related to a whale? a shark, a toad, an alligator, a penguin or a bat?

Answers

Answer:

Any artidiodactyls such as hoofed animals. Deer, camels, cows, pigs, hippos are just some that are closely related to the whale.

yea what the person above said !!

A student is investigating acceleration using objects with different masses. She claims that
mass affects the acceleration of objects when the force remains constant. The student
creates a graph to represent the findings of her investigation.
acceleration
mass
Which argument best supports the student's claim?
O As mass decreases, the accleration of an object decreases because less force is required.
As mass increases, the acceleration of an object increases because less force is required.
O As mass increases, the acceleration of an object decreases because more force is required.
As mass decreases, the acceleration of an object increases because more force is required.

Answers

Answer:

As mass increases, the acceleration of an object decreases because more force is required.

Explanation:

The question states that the student made a mass acceleration graph with the force being constant, if you think about this in everyday life, would pushing a 30 kg box be easier than that of a 15 kg box? Obviously not because if you have the same force for both of them the 15 kg box would have a greater acceleration than the 30 kg one (assuming they are on the same surfaces and the same amount of force is applied.)

Therefore we can say that as the mass of an object increases the acceleration must decrease because we need more force to push the object.

A total charge of Q coulomb is uniformly distributed along a rod 40cm in length.find find the electric field intensity 20cm away from the rod along its perpendicular bisector?

Answers

For a total charge of Q coulomb is uniformly distributed along a rod 40cm in length,  the electric field intensity 20cm away from the rod is mathematically given as

E1=1.598*10^11v/m

What is the electric field intensity 20cm away from the rod along its perpendicular bisector?

Generally, the equation for the  initial electric field intensity   is mathematically given as

[tex]dEp=\int{kd/r}cosd\theta[/tex]

Therefore

[tex]e1=kd/r{sin\theta2+sinR1}[/tex]

Hence

[tex]E1=(9*10^9/20*10^{-2})({sin45+sin45})*B/40*10^-2[/tex]

E1=B*9*10^{13})/(10*110)*[tex]\sqrt{2}[/tex]

E1=1.598*10^11v/m

In conclusion, the electric field intensity

E1=1.598*10^11v/m

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5. What is the potential energy of a spring if the spring constant is 25.0 N/m and it is compressed to .5 m past its resting position?

Answers

Explanation:

Given: Required: solution:

k=25N/m PE ? PE= 1/2 × KX²

X= 5m 1/2 × (25)(5)²

= 312.5 J

Help pleasessssssssssssss

Answers

Sorry I had the answer but it wont let me type numbers :(.:

If you have a mass of 0.9kg and a velocity 12 m/s what is your momentum?

Answers

Momentum
= mass x velocity
= 0.9 x 12
= 10.8 kgm/s.

Any electricity-charged object creates an electric field. Walking across the carpet in wool socks can create an electric charge. This observation is evidence for which characteristics of electrical forces?

Answers

Explanation:

they generate electricity by contact

Residents of a community currently pay a fee for recreational services in their neighborhood, such as tennis courts, running trails, a pool. To assess whether there is support for raising a fee for the upcoming summer, a random sample of 50 residents is contracted and asked this question: “Would you support a $10 increase in the recreational fee to support programs for the health and well-being of the children in the community?” Of the 50 residents contacted, 42 approved of the fee increase. Which statement describes a likely source of bias present in survey results?

Answers

A likely source of bias in the survey is undercoverage bias because some parts of the community may not be represented in the survey results.

Bias present in the survey

The bias present in the survey may lead to error in the result obtained from the random sampling survey.

Source of bias in the survey

One of the likely source of bias in the survey is undercoverage.

It is not possible to ascertain the accurate opinion of the entire community from the 50 residents chosen for the survey.

Thus, a likely source of bias present in survey is undercoverage bias because some parts of the community may not be represented in the survey results.

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Answer:

B. Question wording bias may be present because the question leads those responding toward a certain response.

Explanation:

The warning tag on a lawn mower states that it produces noise at a level of 91.0 dB. What is the intensity of this sound in watts per meter squared

Answers

For  a lawnmower that produces noise at a level of 91.0 dB,  the intensity of this sound is mathematically given as

I=1.26*10^-3W/m^2

What is the intensity of this sound in watts per meter squared?

Generally, the equation for the sound   is mathematically given as

B=(10dB)log10(1/1_0)

Therefore

91/10=log(I/10^{-12})

I=1.26*10^-3W/m^2

In conclusion, the intensity

I=1.26*10^-3W/m^2

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I need help with this please

Answers

Answer:

i think its 100

Explanation:

A garage hoist lifts a truck up 2 m above the ground in 15seconds.Find the power delivered to the truck (given 1000kg as the mass of the truck and gas 9.81m/s​

Answers

The power delivered to the truck of mass 1000 kg that was lifted by a garage hoist, 2 m high above the ground in 15 seconds is 1308 W.

What is power?

Power can be deifned as the rate at which work is done.

To calculate the power delivered to the truck, we use the formula below.

Formula:

P = mgh/t.............. Equation 1

Where:

P = Power delivered to the truckm = Mass of the truckh = Heightg = Acceleration due to gravityt = time

From the question,

Given:

m = 1000 kgh = 2 mt = 15 secondsg = 9.81 m/s²

Subsitute these values into equation 1

P = (1000×2×9.81)/15P = 19620/15P = 1308 W

Hence, The power delivered to the truck of mass 1000 kg that was lifted by a garage hoist, 2 m high above the ground in 15 seconds is 1308 W.

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Friction between our feet and the surface we walk on is desirable. True False​

Answers

Answer:

True

Explanation:

The answer to the question is true.

Have a nice day

You perform an experiment to test how far a cannon will shoot a performer at
different angles. The data are shown below.
Angle
Distance (feet)
110
32°
36°
120
40°
128
440
133
48°
127
52
119
56°
109
60°
100
64°
91
68°
77
72°
63
At which angle will the performer travel the longest distance?

Answers

Answer:

44°

Explanation:

Look for the longest distance under the 'Distance ' column....look to the left to find the corresponding angle

  Table clearly shows that the longest distance (133 ft) occurs at angle of 44°

The power in an electrical current is given by the equation

Answers

Answer:

P = VI

Explanation:

the power is equal to the current × voltage

Answer:

P = V • I

Explanation:

Power = Voltage • Current

For the statements based on whether they are described as outcomes of results from thermal energy being added or removed particles move faster particles move slower temperature increases temperature decreases kinetic energy increases kinetic energy decreases thermal energy added thermal energy removed

Answers

For thermal energy added: particles move faster, temperature increases, kinetic energy increases.
Thermal energy removed: particles move slower, temperature decreases, kinetic energy decreases

Which nucleus completes the following equation?

Answers

Answer:

I think that CL IS THE ONLY BEST ANSWER

Explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

D. Calculate the electric force (F.) between an electron and
proton that are 5.29 x 10-11 meters apart.

Answers

Answer:

See below

Explanation:

F = C q1 q2 /r^2

    8.988 x 10^9   *   (1.60217 x 10^-19)^2 / ( 5.29 x 10^-11)^2 =

.00000008244 N

82.4   nano N

(13.04 HC)

The nose works with the brain and other body parts through a series of steps that help us smell odors. What step immediately follows the step of your nose taking in the smell of something burning in the kitchen?

The brain realizes that it is the smell of something burning.
The brain sends a message to the muscles in your legs to move.
The muscles pull on the bones in your legs and you move toward the kitchen.
The nose sends the information of the smell to the brain.

Answers

Answer:

The nose sends the information of the smell to the brain.

Explanation:

i think but I'm not really sure

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