Spring constant problem. What is the formula for k in terms of the period T and the mass?
A. K= 4pi^2m/T^2
B. K= 4*pi^2/mT^2
C. K= 2*pi*m/T

Answers

Answer 1

The formula for k in terms of the period T and the mass m in spring constant problem is k = 4π²m/T². The formula applies to a spring-mass system.

What is a spring-mass system?

A spring-mass system is a system where a mass of object is attached at the free end of the spring. The system will perform a simple harmonic motion where the oscillations occur periodically. The period of any moving object in that motion can be counted as follows

T = 2π√(m/k)

Where

T = period (s)m = mass of object (kg) k = spring constant (N/m)

Find the formula for the spring constant k in terms of T and m!

We use the formula above to find k.

T = 2π√(m/k)

√(m/k) = T/2π

m/k = (T/2π)²

m/k = T²/4π²

k = 4π²m/T²

Hence, the formula for the spring constant in the spring-mass system is k = 4π²m/T². The answer is A.

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Related Questions

Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G

Answers

The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.

What do you mean by force of gravity?

The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.

The force of gravity between two objects is:

F = G * m1 * m2 / r^2

Where F  = force of gravity,

G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),

mass m1 and mass m2 are the masses of the objects,

r = distance between their centers of mass.

Given:

the mass of the newborn baby = 2.50 kg,

the mass of the doctor = 80.0 kg,

the distance between them = 0.250 m,

F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2

F = 2.67 x 10^-8 N

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If you can answer all of this then your a legend (I'm giving you all my points)

Answers

Answer:

1. B

2. B

3. D

4. A

Hope this was correct! A lot of the answers are already in the article itself and the wording is just different. I suggest now that for information retainment, you read the article again with the correct points in mind and see if you can spot the points where the answers are stated!

If 400g of ice at -2°C i placed in 1 kg of water at 21°C what i the end product when equilibrium i reached?

Answers

The end product when equilibrium is reached is a mixture of water and ice at a temperature of 0°C.

Since the temperature of the water is higher than the temperature of the ice, the ice starts to melt and the temperature of the mixture decreases until it reaches the freezing point of 0°C.

The amount of water in the mixture increases due to the melting of the ice while the amount of ice decreases until all of the ice has melted and there is 1.4 kg of water in the mixture.

The heat energy that was released when the ice melted is absorbed by the water, raising its temperature to 0°C and causing it to reach equilibrium.

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what is displacement?​

Answers

Answer:

The Difference Between the final and initial position of a point trajectory

Answer:

If an object moves relative to a reference frame

Explanation:

If a professor moves to the right relative to a whiteboard, or a passenger moves toward the rear of an airplane then the object's position changes.

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PLSS HELP
A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car.

Answers

According to Newton's third law of motion the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

What is collision?

Collison is a short time force acting between two objects. There are both elastic and inelastic collision. In elastic collision, the kinetic energy and momentum of the colliding system is conserved whereas in inelastic collision, the kinetic energy is not conserved.

For any type of collision, we can apply Newton's third law of motion. This law states that, for every action there is an equal and opposite reaction. Therefore, in a collision, the force exerted by each object will be equal and opposite in direction.

Therefore,  the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

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Eileen is holding a pillow with a mass of 0.30 kg when Stephanie decides she wants it and tries to pull it way from Eileen. If Stephanie pulls horizontally on the pillow with a force of 10.0 N and Eileen pulls with a horizontal force of 11.0 N, what is the magnitude of the net acceleration of the pillow

Answers

The magnitude of the net acceleration of the pillow is 3.333 m/s^2 .

How do you determine the magnitude of the net acceleration?

To determine the magnitude of the net acceleration of the pillow, we can use Newton's Second Law of Motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:

Fnet = ma

where

Fnet = net force acting on the pillow

m = mass of the pillow (0.30 kg)

a = acceleration of the pillow

Fnet = FStephanie - FEileen = 10 N - 11 N = -1 N

So, the net force acting on the pillow is -1N

Now, we can use Newton's Second law to find the acceleration of the pillow

a = Fnet/m = -1 N / 0.3 kg = -3.333 m/s^2

Therefore, the magnitude of the net acceleration of the pillow is 3.333 m/s^2 .

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If an object was traveling horizontally off a cliff at 9 m/s for 7 seconds, how far did it go?

Answers

The object travelled 63 meters at 9m/s for 7 seconds.

What is distance travelled?

The length of the trajectory taken between the initial and final positions of the moving body is the distance traveled.

To calculate the distance traveled by an object traveling horizontally off a cliff, you can use the formula:

d = v * t

where d is the distance traveled, v is the velocity (9 m/s), and t is the time (7 seconds).

By substituting the given values into the formula, we get:

d = 9 * 7 = 63 meters

So, the object traveled 63 meters horizontally before it hit the ground after being launched off the cliff at 9 m/s for 7 seconds.

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hello please help i’ll give brainliest

Answers

Answer:

B. Large mountain ranges

a potential difference of 12 volts causes 2.0 x 10^ 20 electrons to pass a point in a wire in 1 minute calculate

1) the amount of the charge that passes the point in 1 minute ,given that the charge of each electron is 1.6 x10^-19
coulomb

2)electric current in the wire

3)resistance of the wire

Answers

Answer:

Q = N e     total charge passing point

Q = 2.0E20 * 1.6E-19 coul = 32 coulombs

2)    I = Q / t = 32 C / 60 s = .53 amps

3)   R = V / i = 12 volts / .53 amps = 23 ohms

With the Sun and Moon in this position, what does the side of the earth facing the moon experience? ft Select one O A a normal high tide B. a neap high tide C. a spring high tide D. a spring low tide a neap low tide F a normal low tide age

Answers

With the Sun and Moon in this position, the side of the earth facing the moon experiences a spring high tide. Thus Option C is the answer.

A spring tide is a tide that occurs when the gravitational pull of the Moon and the Sun are in alignment. During a new moon or full moon phase, the gravitational pull of the Moon and the Sun combine to produce stronger than normal high tides and stronger than normal low tides. The term "spring tide" does not refer to the season of spring, but rather the tide's "springing forth" of water.

During a spring tide, the difference between high tide and low tide is at its greatest, and the water level rises higher and falls lower than during a neap tide. This is because the gravitational pull of the Moon and Sun are working together to produce the tide, rather than against each other. This results in a high tide that is higher than a normal high tide, referred to as a spring high tide.

It is important to note that spring tides occur twice a month, around the time of the new and full moon, when the Moon and Sun are in alignment.

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Glands that excrete salt in the mangroves are examples of

Answers

Glands that excrete salt in the mangroves are examples of adaptions.

What is adaptions?The meaning of adaptation implies how a species changes its body and behaviour to better suit its natural environment. There are an estimated 8.7 million species currently living on earth. They are found across a wide and diverse natural environment, ranging from frozen and desolate Arctics to the sweltering sands of the Sahara.The natural environment is an ever-changing feature of planet earth. The process of adaptation ensures that the species which adapts the most, survive.Read on to explore plant and animal adaptations across the wide ranges of landscapes.In biology, adaptation has three related meanings. Firstly, it is the dynamic evolutionary process of natural selection that fits organisms to their environment, enhancing their evolutionary fitness. Secondly, it is a state reached by the population during that process.

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Determine the missing forces A-H

Answers

The missing forces in the diagram given are: A = 50 N; B = 200 N; C = 1100 N; D = 20 N; E = 300 N; F = 0 N; G = 50 N and H = 0 N.

What is resultant force?

In physics and engineering, a resultant force is a single force and associated torque obtained by combining a system of forces and torques acting on a rigid body by vector addition. The characteristic of a resultant force or force-torque is that it has the same effect on a rigid body as the original force system. The resulting forces on the body are calculated and visualized by computational analysis or (for sufficiently simple systems) by free-body diagrams.

For A and B:

Since net force is zero the applied forces in all four direction will be equal but opposite.

So A will be 50 N and B will be 200 N.

For C:

The net force is 900 N;

C = 900 + 200

C = 1100 N

For D and E:

The net force is 60 N left; this means the net upward or downward force acting on the object is zero.

So E = 300 N

D = 80 - 60

D = 20 N

For F, G and H:

The net force is 30 N right; this means the net upward or downward force acting on the object is zero.

So F and H will be zero.

G = 20 + 30

G = 50 N

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When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means:

Answers

When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.

When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.

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How much work is needed to overcome friction in a machine
depends on the machine's [blank]

Answers

The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.

What proportion of the work a user inputs into a machine is actually completed by the machine?

Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.

Do all devices eliminate friction?

The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.

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The following three resistors (Ohms) are in parallel with one voltage source. What is the total current running through circuit?

Battery 4
Resistor A 5
Resistor B 4
Resistor C 7

Answers

Explanation:

The total resistance Rt is given by

1/Rt = 1/Ra + 1/Rb + 1/Rc = 1/5 + 1/4 + 1/7 = 0.593

or Rt = 1.69 ohms

The total current I running through the circuit is

I = V/Rt = 2.37 A

What is the weight in newton of a 18.0 kg bowling ball on earth's surface?

Answers

Answer:

W = 176.4 N

Explanation:

Given that,

The mass of a bowling ball, m = 18 kg

We need to find the weight of the bowling ball on Earth's surface. The weight of an object on the surface of Earth is given by :

W = mg

Where

g is the acceleration due to gravity

Put all the values,

W = 18 × 9.8

W = 176.4 N

So, the weight of the ball on Earth's surface is equal to 176.4 N.

If an object that is emitting sound is moving fast enough towards an observer, what pitch will the observer hear?
a) (A) A pitch that is higher than the pitch actually produced
b) (B) A pitch that is lower than the pitch actually produced
c) (C) The same pitch as the pitch actually produced
d) (D) Impossible to determine

Answers

Answer:

(A) A pitch that is higher than the pitch actually produced

Explanation:

Doppler effect

If a net force of 10. Newtons acts on a 6.0-kilogram mass for 8.0 seconds, the total change of momentum of the mass is

Answers

The object's momentum will vary by an amount equal to 80 N-s.

Describe momentum.

The relationship between a particle's mass and velocity determines its momentum. Having both a force and motion, it has both a direction and a magnitude. The force exerted on a particle is equal to the rate at which its momentum is gaining momentum over time, according to Isaac Newton's second equation of motion.

Newton's second law states that if a steady force acts on a particle for a predetermined period of time, the impulse, which is the result of the force and the intervals (the impulse), is equal to the change in momentum.

The time it would take a constant action to bring a particle to rest, on the other hand, is the measure of a particle's momentum.

According to the details in the query,

The system's starting momentum is 0.

F = ma

a = F/m

a = 10/6

a = 1.67 m/s²

utilize the motion equation,

v = u + at

v = u + (1.67)(8) (8)

v = 13.33 m

The momentum will then be,

p = mv

p = 6 × 13.33

p = 80 N-s.

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If 53 kg Boulder fall of the cliff what is the force which it will hit the ground? Is she correct?

Answers

Answer:

F = 520 N

Explanation:

We've got m = 53 kg and a = g = 9.81 m/s^2. So to find the force we must do the following:

F = mg

F = (53kg)(9.81 m/s^2)

F = 520 N

somebody helps me pls T_T

Answers

Answer:

Gravity increase:

mass increases

distance decrease

gravity decrease:

mass decrease

distance increase

hope this helps

have a good day :)

Explanation:

A curve in the road is treated as a horizontal circle. A car drives around the curve with a constant translational velocity of 14 m/s, and the total horizontal force on the driver is 130 N. What is the total horizontal force on the driver if the translational velocity around the same curve is 18 m/s

Answers

The total horizontal force on the driver if the translational velocity around the same curve is 18 m/s is 215 N.

What is a force?

The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'.

Calculation -:

In  ∑F=m rv 2,

both m and r are unknown but remain constant.

Symbolically,

write ∑F slow​ =( r m​ )(14.0m/s) 2  

and ∑F fast​ =( r m​ )(18.0m/s) 2

Therefore, ∑F is proportional to v 2  and increases by a factor of ( 14.018.0​ ) 2  

as v increases from 14.0m/s to 18.0m/s.

The total force at the higher speed is then

∑F fast​ =( 14.018.0​ )

2 ∑F slow​ =( 14.018.0​ ) 2 (130N)

=215N

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Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω

Answers

At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow .

(a) At t = 0, the current through the resistor is 0 A.

(b) At t = 2.17×10-2 s, the current through the resistor is -2.2 A. The negative sign indicates that the current is flowing in the opposite direction to the arrow

(c) At t = 3.00 s, the current through the resistor is 0 A.

At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow.At t = 3.00 s, the current through the resistor is 0 A.

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What is the formula of 3 law of motion?

Answers

The three laws of motion, as described by Sir Isaac Newton, are as follows:

Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it. This is known as the law of inertia.

The force acting on an object is equal to the mass of that object multiplied by its acceleration. This is known as Newton's second law of motion, and is often represented by the equation F = ma.

For every action, there is an equal and opposite reaction. This is known as Newton's third law of motion.

Newton's laws of motion are fundamental principles that describe the physical behavior of objects in motion. The first law, the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by a net external force. The second law of motion, states that the acceleration of an object is directly proportional to the net force acting on the object, and inversely proportional to its mass. The third law states that for every action there is an equal and opposite reaction.

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what are the results of habitat loss? choose the most likely outcome
A. Habitats can be moved to new locations for most species
B. Most species can adapt to new conditions
C. Species can become endangered with extinction
D. Species can be relocated to new habitat

Answers

The Answer that makes the most sense is C.

Answer:

C.

Explanation:

Seems the most reasonable to me

If an airplane were traveling westward with a thrust force of 450 N and there was a headwind (drag) of 200 N, what would the resulting net force be on the airplane

Answers

The net resultant force on the airplane, based on the data provided in the question, is 250 N.

How can the net force that results be calculated?

Calculate the resultant force by deducting the larger force's size from of the smaller force's magnitude. The direction of the smaller force and the resulting force are identical. The resulting force is useful because it allows us to think about the several forces as as if they were one. To measure the effects of different forces on a thing, in other words.

Given data -

Thrust force = 450 N

headwind (drag) = 200 N

Net force = 450 - 200

Net force = 250 N.

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1. Calculate the size of the gravitational pull of a sphere of mass 10 kg on a mass 2.0 kg. When their
centres are 200 mm apart. What is the force of the 2.0 kg mass on the 10 kg mass?

Please answer with an explanation if you can!!!

Answers

Explanation:

Let a be the sphere of mass 10 kg and b be the sphere of mass 20 kg. According to Newton's universal law of gravitation, the gravitational force of a on b is expressed as:

F

a

b

=

G

m

M

d

2

, where:

G

=

6.67

×

10

11

N

m

2

/

k

g

2

is the gravitational constant

m = 2 kg is the mass of a

M = 10 kg is the mass of b

d = 0.2 m is the separation between the two spheres

So:

Fab=GmMd26.67

×

10

11

×

2

×

10

0.2

2

in order to catch a ball, a baseball player moves his or her hand backward in the direction of the balls motion. doing this reduces the force of impact on the players hand principally because....
a.) the time of impact is decreased
b.) the time of impact is increased
c.)the velocity of the hand is reduced
d.) the momentum of impact is reduced
e.) none of the above

Answers

The right response is B: To catch a ball, a baseball player moves his or her hand backward in the direction of the ball's motion because  the time of impact is increased.

By doing this, the force of impact on the player's hand is mostly reduced. The force needed to stop the ball will decrease as the amount of time it takes to reach zero motion increases. Consider a ball approaching you with 100 units of momentum. To stop the ball, a 100-unit impulse would be necessary. No matter how the impulse is generated, there must be 100 units of it. A force is an effect that can alter an object's motion in physics.

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why are earthquakes hard to predict??
answer fast​

Answers

Answer:

Reliable predictions require precursors – some kind of signal in the earth that indicates a big quake is on the way. The signal has to happen only before large earthquakes and it has to occur before all big quakes. At the moment seismologists have failed to find those precursors – if they even exist.

A 1.5 kg ball falls onto a floor. Just before it strikes the floor, its velocity is 12 m/s. The ball bounces up with a velocity of 10 m/s. Find the impulse on the ball.

Answers

Answer:33Ns

Explanation:

How long would it take for a falling object to reach a final velocity of 147 m/s?

Answers

Answer:

15 seconds :)

Explanation:

Other Questions
List some examples of scientific writing, and some examples of writing that are not scientific writing. Read the following article on Gertrude Elion. Then, read the summary that follows. You will notice that the summary is incorrectly written. In this lesson, you learned six rules for writing an effective summary. Using this information, make three specific suggestions that would improve this ineffective summary.Important note: Do NOT write a summary. You will write three suggestions for improving this summary. Your suggestions must be based on the six rules of effective summaries that you learned in the lesson.Complete article from Encyclopedia BritannicaU.S. pharmacologist (one who studies drug interactions) Gertrude B. Elion received the Nobel prize for medicine in 1988 along with George H. Hitchings and Sir James W. Black. The three were awarded the prize for their development of drugs used to treat several major diseases.Gertrude Belle Elion was born on Jan. 23, 1918, in New York City. She graduated from Hunter College in New York City with a degree in biochemistry in 1937. Unable to obtain a graduate research position because she was a woman, she took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist. During this time she also took classes at New York University, where she earned a master's degree in 1941. Because she could not devote herself to full-time studies, Elion never received a doctorate.In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes. Their success was due primarily to their innovative (characterized by new or unique) research methods. Rather than using the trial-and-error approach used by previous pharmacologists, Elion and Hitchings examined the difference between the biochemistry of normal human cells and that of cancer cells, bacteria, viruses, and other pathogens (disease-causing agents). They used this information to create drugs that could target a particular pathogen without harming the human host's normal cells. Their methods enabled them to eliminate much of the guesswork and wasted effort typical in previous drug research.Although Elion officially retired in 1983, she helped oversee the development of azidothymidine (AZT), the first drug used in the treatment of AIDS. In 1991 she was awarded a National Medal of Science and was inducted into the National Women's Hall of Fame. She died on Feb. 21, 1999, in Chapel Hill, N.C.Student J. Doe's SummaryGertrude Elion was born in 1918 in New York City. She went to school for many years and eventually won the Nobel prize. She was unable to obtain a graduate research position because she was a woman. She took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist. She was a scientist who helped discover many important drugs that saved lives. Elion also discovered new ways to test drugs. She died in 1999, 16 years after she retired from Burroughs Wellcome Laboratories. I think she was a terrific scientist. (10 points) According to the linear regression model, the mens world record mile run time in 1940 would have been how many seconds? What is an intractable problem? How are women viewed and treated today in the Trifles? At the end of Frankenstein, what happens to the monster?A. He jumps off the boat and is swept away by the waves.B. He goes back to England with Walton and his crew.C. He grabs Victor's body and plunges into the sea.D. He stabs himself and dies next to Victor's body. our 21 upcycled packing hacks will deliver you to your destination organized and ready to explore. which item did we discover makes a great travel makeup case? In Line 5 of his poem"Chicago," Carl Sandburguses which poetic device todescribe Chicago? Que es la revolucin verde? BMW doesn't currently offer pickup trucks in its product line. 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