A spring hangs at rest from a support. If you suspend a 0.46 kg mass from the spring it elongates 0.79m.
A) Determine the spring constant.
B) Calculate the elongation if you put a .75kg mass on the spring.

Answers

Answer 1

a. The restoring force in the spring has magnitude

F[spring] = k (0.79 m)

which counters the weight of the mass,

F[weight] = (0.46 kg) g = 4.508 N

so that by Newton's second law,

F[spring] - F[weight] = 0   ⇒   k = (4.508 N) / (0.79 m) ≈ 5.7 N/m

b. Using the same equation as before, we now have

F[weight] = (0.75 kg) g = 7.35 N

so that

(5.7 N/m) x - 7.35 N = 0   ⇒   x = (7.35 N) / (5.7 N/m) ≈ 1.3 m


Related Questions

What is a gene? *

A) when a male and a female reproductive cell combine to create an offspring

B) the way something is shaped or constructed

C) a type of large molecule that performs important functions inside organisms

D)an instruction for making a protein molecule

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is D

Gene are special biomolecules that have all the required information of that organism, and has an instruction for making protein molecules.

Visual angle is a measure of the A. size an object takes up on the retina. B. actual size of an object. C. object's contrast divided by its spatial frequency. D. angle between the observer and an object. E. perceived size of an object.

Answers

Answer:

c

Explanation:

If 9.467 A current is passing through a straight wire, what would be the magnetic field induced at a point 3.9 centimeter away from the wire

Answers

For a current is passing through a straight wire, the Magnetic field is mathematically given as,

B=5.535*10^5T.

What would be the magnetic field induced at a point 3.9 centimeter away from the wire?

Generally, the equation for the Magnetic field  is mathematically given as

[tex]B=\frac{\mu i}{ 2 \pi r}[/tex]

Therefore

[tex]B=\frac{4 \pi *10^{-7}*4.2.28}{2 \pi (1.6*10^-2)}[/tex]

B=5.535*10^5T

In conclusion, the magnetic field

B=5.535*10^5T

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1.What happens when ice cubes melt in a glass?
a
No energy is transferred.
B
Heat travels from the ice to the warmer
water.
C
The water warms up due to the humidity
D
Heat is transferred from the warmer water
to the ice cubes.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is D

Heat always travel from higher temperature body to lower temperature. so we can infer that heat is transferred from the warmer water to the ice cubes which causes melting of that ice in there.

What do the lines and numbers on the chromosome represent?

A) Organelles
B) Mutations
C) Genes
D) Proteins

Answers

The lines and numbers on a chromosome mean (C) genes

A motorist drives 5 km east then drives 5 km north. Calculate their distance travelled and their displacement.

Answers

Answer:

See

distance is 10 km

displacement is 5√2 km

Explanation:

DISTANCE:

Distance is scaler so, it doesn't depend on the direction

so distance is 5+5 which is 10

DISPLACEMENT:

Displacement is a vector, so, it depends on direction.

Now when we see north and east, they form a right angle, so we need to calculate the hypotenuse of the triangle for displacement as it is the shortest route between the two points.

Let hypotenuse be h

5² + 5² = h² Moved 5 km in east and north so values are 5h² = 25+25h² = 50h = √50h=5√2

Hope it helps

BYE.

In a parallel circuit with three resistors connected to a power source, what would happen to the equivalent resistance and current if you removed any one of the resistors? the equivalent resistance would increase and the current would increase. the equivalent resistance would increase and the current would decrease. the equivalent resistance would decrease and the current would decrease. the equivalent resistance would decrease and the current would increase.

Answers

Since the equivalent resistance is decreased then current must be increased in the circuit.

What is resistance?

Resistance is defined as the obstruction offered by the circuit in the flow of charge or current.

When three resistors are connected in series then the total equivalent of all three is given by

[tex]R_{eq}=R_1+R_2+R_3[/tex]

Also in this case current is given by

[tex]I=\dfrac{V}{R_{eq}}[/tex]

Now if one of the resistance is removed

Then

[tex]R_{eq}=R_1+R_2[/tex]

let one of the resistance is removed

while current flowing in the open circuit will be given by

[tex]I=\dfrac{V}{R_{eq}}[/tex]

So here since resistance is decreased then current must be increased in the circuit.

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Answer:

B. The equivalent resistance would increase and the current would decrease.

Explanation:

In what part of the Milky way is our solar system located?

A) thick disk
B) thin disk
C) extreme disk
D) galactic halo

Answers

Answer:

D

Explanation:

I got it right

2. Why is natural selection a mechanism for biological change?

Answers

Answer:

Natural selection is a simple mechanism that causes populations of living things to change over time.  Organisms that are more adapted to their environment are more likely to survive and pass on the genes that aided their success.

What happens to the period of a wave as the frequency increases?.

Answers

Explanation:

T=1/f

So if frequency increases the period will decrease

The location of a planet relative to the Sun has a lot to do with its _____; whether it is one of the inner terrestrial planets or outer gas giants.

Answers

Answer:

Composition.

Explanation:

the inner planets tend to be made up of more solid materials such as iron, while outer planets are made up of primarily gas and ice

If the wavelength is 6 meters and the period is 2 seconds, what's the wave velocity?

Answers


Frequency =1/period thus;
F=0.5
Velocity =wave length ×Frequency
Velocity=6×0.5
V=3m/s


A boy is swimming , identify the action and reaction

Answers

Answer:

a person pushes water with his hands in the backward direction is action and water in turns pushes him forward due to force is reaction.

Explanation:

What is the function (job) of the genes in protein synthesis (how proteins are made in the cell)?

Answers

Answer:

Most genes contain the information needed to make functional molecules called proteins. A few genes produce regulatory molecules that help the cell assemble proteins.

To build proteins, cells use a complex assembly of molecules called a ribosome. The ribosome assembles amino acids into the proper order and links them together via peptide bonds. This process, known as translation, creates a long string of amino acids called a polypeptide chain.

Explanation: Hope it helps you :)))))

Have a good day

_________ quantities are measured with numbers and units, but also have a specific direction.

Answers

Answer:

Vectors

Explanation:

Vector quantities have magnitude and direction in a given vector space or field

On top a coiled spring labeled wave a with coils, which are widely spaced then tightly spaced then widely space. on bottom a coiled spring labeled wave b with coils, which are widely spaced then very tightly spaced then widely space. which statement can be made about waves a and b? wave a has a lower amplitude than wave b. wave a has a higher amplitude than wave b. wave a has a lower frequency than wave b. wave a has a higher frequency than wave b.

Answers

Answer:

Wave A has a lower frequency than Wave B.

Explanation:

Frequency is the number of waves passing through the unit time.

As the statement of the question says that the coils in wave A are widely and tightly spaced.

While in wave B the coils are widely and very tightly spaced which means the number of coils is more and the frequency of wave B is more than wave A.

Therefore more coils will pass through a fixed point in unite time and more will be the frequency.  

Answer:Wave A has a lower frequency than Wave B.

Explanation: edge

James passes a magnet over a pile of paperclips and the magnet picks up 2 of the paperclips. Then he passes a different magnet over the pile of paperclips and it picks up 6 paperclips. Which of the
following is NOT a testable
hypothesis that James might develop based on this data?

1. a weaker magnet will pick up more
paperclips than a stronger magnet
2. all magnets pick up paperclips, but the
number of paperclips depends on the
magnet
3. magnets will pick up metal objects but
not plastic objects
4. a stronger magnet will pick up more
paperclips than a weaker magnet

Answers

Answer: 2

Explanation:

The statement "All magnets pick up paperclips, but the number of paperclips depends on the magnet" is neither a hypothesis nor testable.

The hypothesis that is not testable based on the given data is magnets will pick up metal objects but not plastic objects. Option C is the correct answer.

The reason this hypothesis is not testable based on the given data is that the information provided only pertains to the number of paperclips picked up by different magnets. It does not provide any information or evidence regarding the ability of magnets to pick up metal objects versus plastic objects. Option C is the correct answer.

In order to test this hypothesis, we would need data or experiments specifically focusing on the interaction between magnets and metal objects as well as magnets and plastic objects. The given data only provides information about the number of paperclips picked up by different magnets, which does not support or refute the hypothesis about the ability of magnets to pick up different materials.

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Worked examples on energy
(2) An express train of mass 600kg is
moving with a velocity of 180km per
hour.
Calculate its kinetic energy.

Answers

The kinetic energy of the moving express train with the given value of mass and velocity is 7.5 × 10⁵Joules.

What is Kinetic Energy?

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given the data in the question;

Mass of the train m = 600kgVelocity of the train V = 180kmh = 50m/sKinetic energy of the train K = ?

To determine the kinetic energy of the train, we substitute our given values into the above expression.

K = (1/2)mv²

K = (1/2) × 600kg × (50m/s)²

K = 0.5 × 600kg × 2500m²/s²

K = 750000kgm²/s²

K = 7.5 × 10⁵J

Therefore, the kinetic energy of the moving express train with the given value of mass and velocity is 7.5 × 10⁵Joules.

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A 250-turn generator with circular loops of radius 15 cm rotates at 60.0 rpm in a
magnetic field with a strength of 1.00 T.
a. What is the angular speed of the loops?
b. What is the area of one loop?
c. What is the maximum emf?
d. What is the rms emf?

Answers

(a) The angular speed of the loops is 6.284 rad/s.

(b) The area of one loop is 0.071 m².

(c) The maximum emf of the generator is 111.54 V.

(d) The rms emf of the generator 78.87 V.

Angular speed of the loop

The angular speed of the loop is calculated as follows;

[tex]\omega = 60 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 6.284 \ rad/s[/tex]

Area of the loop

The area of the loop is calculated as follows;

A = πr²

A = π x (0.15)²

A = 0.071 m²

Maximum emf of the generator

emf(max) = NBAω

emf(max) = (250) x (1) x (0.071) x (6.284)

emf(max) = 111.54 V

Rms emf of the generator

[tex]V_{rms} = \frac{V_0}{\sqrt{2} } \\\\V_{rms} = \frac{111.54}{\sqrt{2} } \\\\V_{rms} = 78.87 \ V[/tex]

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A car travels at an average speed of 100km per hour. What distance does it cover in 5hrs

Answers

500 km

distance = speed x time

Here given:

speed: 100 km/hourtime: 5 hours

Distance: 100 x 5 500 km

Answer:

500 Km

Explanation:

Speed of the car = 100 km/h

Distance the car covers in 5 hours

= Speed of the car × time

= 100 × 5

= 500 Km

Hope this helps ⚜

Calculate the net force on particle qi.
Finally, add the forces together to find the total
force acting on 01.
Be sure to include a + or - sign to indicate the
direction of the force!
EF = [?]N
Fi = -14.4 N
F2 = +2.28 N
=
=
=
+13.0 uc
+ 91
+7.70 μC
+92
-5.90 με
03
0.25 m
0.30 m

Answers

Answer:

-12.12

Explanation:

i just added them together and it worked.

Saturn’s bright rings are located within the roche limit of saturn. This supports the theory that these rings:.

Answers

This supports the theory that these rings are formed from moons torn apart by tidal stress.

Write about planet saturn?

After Jupiter, the second-largest planet in the Solar System is Saturn. It's a giant planet with a radius around nine and a half times that of the Earth.

Saturn is only one-eighth the average density of Earth, yet it is 95 times more massive due to its bigger volume.

Saturn’s bright rings are located within the Roche limit of Saturn. This supports the theory that these rings are formed from moons torn apart by tidal stress.

Hence this supports the theory that these rings are formed from moons torn apart by tidal stress.

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hello people ~
please help me with this question ^^​

Answers

Equilateral triangle means each interior angle has measure 60°

We need the resultant which is our dipole

[tex]\\ \rm\Rrightarrow R=\sqrt{A^2+B^2+2ABcos\theta}[/tex]

[tex]\\ \rm\Rrightarrow R=\sqrt{(q\ell)²+(q\ell)²+2(q\ell)(q\ell)cos60°}[/tex]

[tex]\\ \rm\Rrightarrow R=\sqrt{(q\ell)^2+(q\ell)^2+(q\ell)^2}[/tex]

[tex]\\ \rm\Rrightarrow R=\sqrt{3(q\ell)^2}[/tex]

[tex]\\ \rm\Rrightarrow R=\sqrt{3}{q\ell}[/tex]

What is the process of charging by induction?

Answers

Atoms charge induction with sun and the process

Explain how temperature and particle movement are related.

Answers

If the temperature is increased the particles gain more kinetic energy or vibrate faster.

Native people are
in films.
Select the best answer from the choices provided.
O A. almost always cast in supporting roles
OB. rarely allowed to speak
OC. rarely allowed to display a real personality
OD. All of the answers are correct.

Answers

Answer:

D.

Explanation:

all of the options are true.

What is the kinetic energy of an 1,850.0-kg car moving at 30.0 m/s? And at 120 km/h?

Answers

Answer:

See below

Explanation:

For 30 m/s :

 KE = 1/2 mv^2

      1/2 (1850)(30^2) = 832500 J

For 120 km/hr :

120 km/hr = 33.333 m/s

  KE = 1/2 1850 (33.333)^2 1027777.8 J  

do you agree or disagree that folk dance forms can be outside their original formmeaningful s

Answers

I disagree that folk dance forms can be outside their original meaningful form in this scenario.

What is Folk dance?

This is the type of dance which is unique to a particular set of people and helps celebrate their culture.

This dance is a ritualistic entertainment which is done in different type of gatherings such as ceremonies etc which is why it isn't outside their original meaningful form.

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when light falls obliquely, there is a change in direction as it moves from one medium to another but when it falls perpendicular to the surface , there is no change in direction even when two mediums are involved JUSTIFY

Answers

Answer:

wait in comments....................

Current x is 2.5 a and runs for 39 seconds. current y is 3.8 a and runs for 24 seconds. which current delivered more charge, and how much more charge did it deliver? x delivered 97.5 c more than y. x delivered 6.3 c more than y. y delivered 91.2 c more than x. y delivered 1.3 c more than x.

Answers

Given the data from the question,

X delivers more charge than YX delivers 6.3 C more than Y

Description of charge

The charge in a circuit is related to the current and time according to the following equation

Charge (Q) = current (I) × time (t)

Q = it

How to determine the charge delivered by XCurrent (I) = 2.5 ATime (t) = 39 sCharge (Q) =?

Q = it

Q = 2.5 × 39

Q = 97.5 C

How to determine the charge delivered by YCurrent (I) = 3.8 ATime (t) = 24 sCharge (Q) =?

Q = it

Q = 3.8 × 24

Q = 91.2 C

Difference Charge by X = 97.5 CCharge by Y = 91.2 CDifference = 97.5 – 91.2 = 6.3 C

From the above calculations, we can conclude as follow:

X delivers more charge than YX delivers 6.3 C more than Y

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Answer:

BBB

Explanation:

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