A spring is hanging from the ceiling. When a 250 gram of mass is attached to the free end, the spring elongates by 5 cm. The spring constant (in N/m) is:

Answers

Answer 1

Answer:

k = 49 N/m

Explanation:

Given that,

Mass, m = 250 g = 0.25 kg

When the mass is attached to the end of the spring, it elongates 5 cm or 0.05 m. We need to find the spring constant. Let it is k.

The force due to mass is balanced by its weight as follows :

mg=kx

[tex]k=\dfrac{mg}{x}\\\\k=\dfrac{0.25\times 9.8}{0.05}\\\\k=49\ N/m[/tex]

So, the spring constant of the spring is 49 N/m.


Related Questions

Explain how you would determine how much air there is between a vector addition in the displacement of the actual trip taken. Why aren’t vectors true straight-line paths in the real world? Would you expect a vector addition to be larger or smaller than the actual trip taken? Why?

Answers

Answer:

This is because it has more coils around the ferromagnetic material. increasing the number of coils increases the surface area in which the metal interacts with the current in the coil. This enables more atoms in the metal to become aligned hence becoming more magnetized.

or...

A method of procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses.

Hope this helps☺️

When the wooden block is placed in the water and allowed to float to the top, what percentage of it is submerged

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete. However, what is described in the question is known as upthrust. Upthrust is an upward force on an object (in this case the wooden block) provided by the liquid (water) as a result of it displacing some of the liquid. Thus floating objects will normally displace some part of the liquid; making some part of it to be submerged in water.

The percentage of the submerged wooden block can be calculated as

length (in height) of the wood block submerged in water/total length (in height) of the wood × 100

How long will it take a 2190 W motor to lift a 1.47 x 104 g box, 6.34 x 104 mm vertically.​

Answers

Answer:

4.2s

Explanation:

Given parameters:

Power = 2190W

Mass of box = 1.47 x 10⁴g

distance  = 6.34 x 10⁴mm

Unknown:

Time  = ?

Solution:

Power is the rate at which work is done;

 Mathematically;

        Power  = [tex]\frac{work done}{time}[/tex]  

   Time  = [tex]\frac{work done}{power}[/tex]  

 Work done  = weight x height

 convert mass to kg;

     100g = 1kg;

           1.47 x 10⁴g  = 14.7kg

convert the height to m;

          1000mm = 1m

          6.34 x 10⁴mm gives 63.4m

  Work done  = 14.7 x 9.8 x 63.4 = 9133.4J

  Time taken = [tex]\frac{9133.4}{2190}[/tex]   = 4.2s

Two masses are to collide directly with each other. One has a mass of 5 kg and a velocity of 2 m/s. The other has a mass of 3 kg and a velocity of 1 m/2. The collision is perfectly inelastic. Find the velocity of the masses after the collision.

Answers

Answer:

v₃ = 1.625 [m/s]

Explanation:

To solve this problem we must use the definition of linear momentum conservation, which tells us that momentum is conserved before and after a collision.

Since the collision is inelastic, the two bodies are joined after the collision.

P = m*v [kg*m/s]

m = mass [kg]

v = velocity [m/s]

where:

P = lineal momentum [kg*m/s]

Now, it is important to clarify that in the following equation we will take the left side of the equation as the momentum before the collision and the right side of the equal sign as the momentum after the collision.

Pbefore = Pafter

(m₁*v₁) + (m₂*v₂) = (m₁+m₂)*v₃

where:

m₁ = mass one = 5 [kg]

v₁ = velocity of the mass one = 2 [m/s]

m₂ = mass two = 3 [kg]

v₂ = velocity of the mass two = 1 [m/s]

v₃ = velocity of the combined masses after the collision [m/s]

Now replacing we have:

(5*2) + (3*1) = (5 + 3)*v₃

10 + 3 = 8*v₃

v₃ = 13/8

v₃ = 1.625 [m/s]

If a car traveled 50 meters in 2 seconds, what will the velocity be? (Write the answer with a number, on decimal if needed, then a space and the units, for example 5.7 m/s)

Answers

Answer:

The answer is 25 m/s

Explanation:

The velocity of the car can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{50}{2} \\ [/tex]

We have the final answer as

25 m/s

Hope this helps you

Sean and Tommy are debating the positive and negative impacts of technology on environmental quality. Tommy is listing the negative impacts. Which of the following would help his argument? (2 points)
Grupp av svarsalternativ

Solar panels have become more effective due to technological improvements.

Technology has helped make recycling to be more efficient.

It has created new ways to clean up oil spills.

Factories contribute to air and water pollution.

Answers

Answer:

Factories contribute to air and water pollution.

Explanation:

How does temperature effect density and the flow of convection currents?

Answers

Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

a kid is flying a kite 58 meters above the level ground. a small lead sphere is dropped from the kite. calculate the amount of time required for the sphere to fall to the ground

Answers

This is the formula you need to memorize:  

D = 1/2 · a · T²

Distance = (1/2) · (acceleration) · (Time²)

This formula tells the distance an object falls in any amount of time.

This question tells you the distance (58m), and you know the acceleration (gravity, 9.8 m/s²), so you can use this formula to find the time.

Distance = (1/2) · (acceleration) · (Time²)

58m  =  (1/2) · (9.8 m/s²) · (Time²)

Divide each side by (4.9 m/s²) :  Time²  =  (58/4.9) seconds²

Take the square root of each side:  Time = 3.44 seconds  

The first group of planets that are made of rock and closest to the sun

Answers

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

NEED HELP ASAP PLEASE

Answers

Answer:

It is Nice A since it's temp increases slower

Explanation:

hope this helped

A 1200-kg car initially at rest undergoes constant acceleration for 8.8 s, reaching a speed of 10 m/ s. It then collides with a stationary car that has a perfectly elastic spring bumper. What is the final kinetic energy of the two-car system

Answers

Answer:

The final kinetic energy of the two-car system is 60,000 J.

Explanation:

Given;

mass of the car, m = 1200 kg

time of motion, t = 8.8 s

final velocity of the car, v = 10 m/s

Apply the principle of conservation of kinetic energy; the initial kinetic energy is equal final kinetic energy.

[tex]K.E_i = K.E_f\\\\K.E_f = \frac{1}{2}mv^2\\\\K.E_f = \frac{1}{2}(1200)(10)^2\\\\K.E_f = 60,000 \ J[/tex]

Therefore, the final kinetic energy of the two-car system is 60,000 J.

pLEasE aNSWer CorRReCtly

Answers

what are the choices?

Answer:

season, axis

Explanation:

The earth's axis is responsible for the changing seasons

Explain the procedures used and data recorded to identify a crystalline mineral based on its properties.

Answers

Answer:

By examining its external shape, color, hardness, etc.

Explanation:

What is the differential equation governing the growth of current in the circuit as a function of time after t

Answers

Complete question is;

What is the differential equation governing the growth of current in the circuit as a function of time after t = 0? express the right - hand side of the differential equation for di(t)/dt in terms of i(t), v_b, r, and l?

Answer:

v_b = ir + L(di/dt)

Explanation:

I've attached the image of the circuit talked about in this question.

From the attached image, we can see that this circuit is an R-L circuit.

Since we want a differential equation for di(t)/dt that contains i(t), v_b, r, and L, we can start by finding v_b in R-L circuit which is;

v_b = v_r + v_i

where;

v_b is the voltage source.

v_r is the voltage across the resistance

v_i is the voltage across the inductance

Now, the voltage across the inductance could also be expressed as;

v_i = L(di/dt)

where;

L is the circuit inductance

Also, the voltage across the resistance could be as expressed as;

v_r = ir

Where;

r is the resistance

i is the current

Thus;

v_b = ir + L(di/dt)

If a star appears to wobble back back and forth, or its light seems to change in brightness, what might be the cause?

Answers

Answer:

The first method, known as the wobble method, looks for changes in a star's relative velocity caused by the gravitational tug of a nearby planet. ... If a planet's orbit crosses between its parent star and Earth, it will block some of the light and cause the star to dim.

Explanation:

We all know that the chains of gravity shackle a planet to its star. That star's enormous gravitational influence keeps its planetary family in orbit. But gravity works both ways: as the planets sweep around in their orbits, they tug on their parent stars to and fro, causing those stars to wobble

Answer:

The way it’s orbiting

Explanation:

The peripheral speed of the tooth of a 10-in.-diameter circular saw blade is 230 ft/s when the power to the saw is turned off. The speed of the tooth decreases at a constant rate, and the blade comes to rest in 17 s. Determine the time at which the total acceleration of the tooth is 130 ft/s2.

Answers

Answer:

The time is  [tex]t_r =21.58 \ s[/tex]  

Explanation:

From the question we are told that

   The  diameter of the circular saw  is [tex]d = 10 \ in = \frac{10}{12} = 0.833 \ feet[/tex]

   The peripheral speed is [tex]u = 230 \ ft/s[/tex]

    The time taken for the blade to come to rest is t = 17 s

    The total  acceleration of the tooth considered is  [tex]a = 130 \ ft/s^2[/tex]  

Generally the radius of the blade is mathematically represented as

            [tex]r = \frac{0.833}{2}= 0. 4165 \ feet[/tex]

Generally the tangential acceleration of the blade is mathematically represented as

           [tex]a__{t}} = \frac{v - u}{t}[/tex]

Here v is the final  velocity of the tooth of the blade which is  zero  since the blade came to  rest

so  

         [tex]a__{t}} = \frac{0 - 230}{ 17}[/tex]

=>      [tex]a__{t}} = - 13.53 \ ft/s^2[/tex]

Generally the total acceleration of the tooth of the blade is mathematically represented as

         [tex]a = \sqrt{a_t^2 + a_r^2}[/tex]

Here [tex]a_r[/tex] is the radial acceleration , now making [tex]a_r[/tex] the subject of the formula we have that

        [tex]130= \sqrt{13.56 ^2 + a_r^2}[/tex]

=>     [tex]a_r = \sqrt{130^2 -(- 13.56)^2}[/tex]

=>     [tex]a_r = 129.3 \ m/s^2[/tex]

Generally radial  acceleration is mathematically represented as

      [tex]a_r = \frac{v_r^2}{r}[/tex]    

Here  [tex]v_r[/tex] is the velocity at which the total acceleration is 130 ft/s2.

=>   [tex]v_r = \sqrt{a_r * r }[/tex]  

=>  [tex]v_r = \sqrt{129.3 * 0.4165 }[/tex]

=>  [tex]v_r = 7.34 \ m/s[/tex]

Generally the time at which the total acceleration is  130 ft/s2. is mathematically represented as

        [tex]t_r = \frac{7.34 - 300}{a_t}[/tex]

=>      [tex]t_r = \frac{7.34 - 300}{-13.56}[/tex]

=>      [tex]t_r =21.58 \ s[/tex]    

The picture below shows a science model made with a balloon, cord, and radiosonde.

Image showing a science model made with a balloon; at the bottom of the balloon is a cord with a radiosonde attached to it.

Which of these is most likely the function of the science model?

To change the density of air
To increase the humidity in air
To reduce the atmospheric pressure
To predict extreme weather conditions

Answers

Answer:

Since the person above didn't answer correctly I will, the correct option is (D) this is because the picture shown is of a weather balloon and the purpose of this device is to predict weather and its conditions

Hope this helped! (: Have a nice day

Answer: To predict extreme weather conditions

A radiosonde is a small tool that is put under a balloon filled with either hydrogen or helium. As the radiosonde goes up it measures pressure, temperature, and relative humidity.

Which of the following is made up of vibrating electric and magnetic fields
traveling together?
A. An electromagnetic wave
B. A generator
C. An induced current
D. An electromagnet

Answers

Answer:

A. An electromagnetic wave

Explanation:

A P E X

yes or no
1.the ink of a pen that is used for writing is not a colloid
2.the blood consists of solid particles and plasma are considered a kind of colloid.​

Answers

Answer:

1. No, it is a colloid

2. Yes

Explanation:

A 60-kg woman runs up a staircase 15 m high (vertically) in 20 s.

Required:
a. How much power does she expend?
b. What is her horsepowerrating.

Answers

Answer:

(a) 441 W (b) 0.59 hP

Explanation:

Given that,

Mass of a woman, m = 60 kg

Height of a staircase, h = 15 m

Time, t = 20 s

(a) We need to find the power she expend. Work done per unit time is called power. It is given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{60\times 9.8\times 15}{20}\\\\P=441\ W[/tex]

( b) Since, 1 hP = 745.7 W

P = 0.59 hP

The force of gravity acting on you will increase if you
A. burrow deep inside the planet.
B. stand on a planet with a radius that is shrinking
C. both of these
D.none of these

Answers

Answer:

C.

Explanation:

the closer you get to the centre of an object the greater its gravitational pull- A is correct

If the radius increases the gravity decreases and rise versa - B is correct

the answer is C

The force of gravity acting on you will increase if you  stand on a planet with a radius that is shrinking. So, option (B) is orrect.

What is force?

Force is an external agent that has the power to alter a body's resting or moving condition. It has a size and a movement. The direction of the force is referred to as the force's direction, and the application of force is the place at which the force is applied.

The force of gravity acting on an object due to a planet is given by: F = GMm/R².

Where, G is universal gravitational constant . M and m is masses of the planet and the object respectively and R is distance between them.

Hence, when you stand on a planet with a radius that is shrinking; distance between you and planet decreases. So, the force of gravity acting on you will increase. So, option (B) is correct.

But in the case of burrow deep inside the planet: gravitational force due to outer shell  becomes zero. So, effective gravitational force decreases.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ2

what is a factor that scientists use to classify orders of soil?

Answers

climate, plant type, soil composition.

A student was traveling to see his grandmother who lives 15 miles north oh his home he started from rest and maintained a pace of 4 m/s before stopping at his grandmother's house for lunch which of the following best describes the speed, velocity and acceleration of the student's walk?

Answers

Explanation:

Given parameters:

Distance  = 15miles north = 24140.2m

Initial velocity  = 0m/s

Final velocity  = 4m/s

Unknown:

Speed, velocity and acceleration = ?

Solution:

The speed is the distance divide by time. It is a scalar quantity and has no directional attribute.

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

  The speed of the student is 4m/s

Velocity is the displacement divided by time. It is a vector quantity which specifies the direction and magnitude;

    Velocity  = [tex]\frac{displacement}{time}[/tex]  

   The velocity of the student is 4m/s due north

Acceleration is the change in velocity with time;

     To find the acceleration, we use

      v²  = u² + 2as

v is the final velocity

u is the initial velocity

a is the acceleration

s is the distance

     4² = 0² + 2x a x 24140.2

       a  = [tex]\frac{16}{2 x 24140.2}[/tex]  = 0.00033m/s²

A baseball is thrown at an angle of 25 degrees relative to the ground at a speed of 23 m/s. If the ball was caught 42 m from the thrower:

What is the initial vertical velocity?

What is the initial horizontal velocity?

How long was it in the air?

How high did the ball travel before being caught?

Answers

Answer:

a) [tex] v_{0y} = 9.72 m/s [/tex]

b) [tex] v_{0x} = 20.85 m/s [/tex]

c) [tex] t = 2.01 s [/tex]

d) [tex] h_{max} = 4.82 m [/tex]

Explanation:

a) The initial vertical velocity is given by:

[tex] v_{0y} = v*sin(\theta) [/tex]

Where:

θ: 25°

v: is the magnitude of the speed = 23 m/s

[tex] v_{0y} = 23 m/s*sin(25) = 9.72 m/s [/tex]

b) The initial horizontal velocity can be calculated as follows:

[tex] v_{0x} = v*cos(\theta) = 23 m/s*cos(25) = 20.85 m/s [/tex]

c) The flight time can be calculated using the following equation:

[tex] v_{0x} = \frac{x}{t} [/tex]

Where:

x: is the total distance = 42 m

[tex] t = \frac{x}{v_{0x}} = \frac{42 m}{20.85 m/s} = 2.01 s [/tex]

d) The maximum height is given by:

[tex] v_{fy}^{2} = v_{0y}^{2} - 2gh_{max} [/tex]

Where:

[tex] v_{fy}[/tex]: is the final vertical velocity =0 (at the maximum heigth)

g: is the gravity = 9.81 m/s²

[tex]h_{max} = \frac{v_{0y}^{2}}{2g} = \frac{(9.72 m/s)^{2}}{2*9.81 m/s^{2}} = 4.82 m[/tex]

I hope it helps you!                                  

True or False. A compound is formed when two or more elements are combined to make a
new substance with its own properties.


Anyone?

Answers

Answer:

I believe It's true. Since from memory I KNOW a compound is formed when elements are combined chemically.

Answer: correct

Explanation: a compound is 2 or more elements formed to make a completely new thing. For example, water is a compound. Why? Well, water is h20. What is h20? It’s Hydrogen and Oxygen. Oxygen is also a compound. Another example is CO2 (carbon dioxide) it’s made of carbon and oxygen, so it’s a compound! A element is just a pure substance. It’s not made up of other materials. It’s in its purest form.

for a solar eclipse to occur which of the following alignments must be necessary

Answers

very specific alignment of the Sun, Earth, and Moon. If the Moon is lined up precisely with the Sun from the Earth's point of view, the Moon will block Sunlight from reaching the Earth, causing a solar eclipse.

After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?

Answers

Answer:

(4,5) and (8,10) what is the slope

Explanation:

After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?

if an object is moving with a velocity of 25m/s, an acceleration of 5m/s and has a travel time of 5s, what is the final velocity of the object?​

Answers

V = at + V0

where v0 is the initial speed, a is the acceleration and t is the time.

So:

v = 5m/s^2*5s + 25m/s = 50 m/s

How do covalentes bonds form

Answers

A covalent bond forms when two or more valence electrons are attracted by the positively charged nuclei of two atoms and thus are shared between both atoms.

PLEASE HELP QUICKLY THANKS

Answers

Answer: the answer is d

Explanation:

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