A block with mass m =7.4 kg is hung from a vertical spring. when the mass hangs in equilibrium, the spring stretches x = 0.23 m. while at this equilibrium position, the mass is then given an initial push downward at v = 3.9 m/s. the block oscillates on the spring without friction. 1 what is the spring constant of the spring?

Answers

Answer 1
From the spring equation;

k = -F/x, where k = spring constant, F = weight = mg = 7.4*9.81 = 72.594 N, x = spring displacement = 0.23 m

Substituting;
k = - 72.594/0.23 = -315.63 N/m

The negative sign shows that the force opposes spring constant.

Related Questions

This is the method by which a wave travels through a medium or a vacuum.

Answers

It can't. Waves must have a medium to travel through

Your car burns mostly octane, c8h18, as a fuel. how many liters of oxygen are needed to burn a kilogram of octane

Answers

Hydrocarbons explode in oxygen to form carbon dioxide and water. 
a) Balanced equation : 2 C8H18 + 25 O2 --> 16 CO2 + 18 H2O 
b) Number of mols of octane: 1000 g / 114 g mol-1 = 8.7719 mol 
c) Number of mols of oxygen needed = 12.5 (number of mols of octane) =
    109.64912 mol 
d) at r.t.p, 1 mol --> 24 dm^3, hence 109.64912 mol --> 2631.57888 dm^3 

2.63 litres of oxygen is needed to burn a kilogram of octane.

Answer:

2.5 litres

Explanation:

First, let us write the balanced chemical reaction of the reaction going on in the internal combustion engine. The balanced equation is given in the reaction below;

2 C8H18 + 25 O2 -----------> 16CO2 + 18 H2O. ------------------------------------(1).

OR

C8H18 + 12.5 O2 ---------------->8CO2 + 9 H2O. ------------------------(2).

From the equation of reaction above, we can see that one mole of C8H18 reacts with 12.5 moles of O2 to give 9 moles of water and 8 moles of Carbondioxide, CO2.

Hence, in one Kilogram, that is 1000 grams, we are to calculate how many liters of oxygen are needed.

So, the molar mass of C8H18 is 114 grams per mole(that is; 12×8 + 1×18).

We have to calculate the number of moles using the formula below;

Number of moles,n= mass/molar mass.---------------------------------------(3).

Number of moles,n= 1000 gram/ 114 gram per mol.

Number of moles,n= 8.8 moles.

Thus, 12.5 moles of oxygen reacting and the number of moles of oxygen needed is (12.5 × 8.8 ) moles = 110 moles.

The volume of litres of oxygen needed= 110 moles × 22.4 dm^3.

===> 2464 dm^3.

==> 2.5 litres of oxygen is needed.

Multiplying or dividing vectors by scalars results in a. vectors. b. scalars. c. vectors if multiplied or scalars if divided. d. scalars if multiplied or vectors if divided.

Answers

Let A = i+j+k be a vector and B = 3 be any scalar, 
Multiplying A and B, 
AB = (i+j+k)3 = 3i+3j+3k 

Which is a new vector whose direction is same as the old but it's 3 times greater in length  than the old vector(i+j+k).

Now, dividing A and B,
A/B = (i+j+k)/3 = [tex] \frac{1}{3}i + \frac{1}{3}j + \frac{1}{3}k [/tex]

Which is again a new vector whose direction is same as the old but now it's 1/3 times small in length than the old vector. 

Direction is same because we multiplied by positive scalar. If we multiply A by suppose -1, -4, -1000000 or any negative number, it's direction will reverse. 

Thus, if we multiply a vector with scalar, it's length increases. If we divide, it shrinks. 

The correct answer is option A: Vectors

When a vector is multiplied or divided by a scalar, the result is still a vector.

A vector is any quantity that has both magnitude and direction while a scalar is a quantity that can only be described completely by its magnitude without direction.

Hence, when a vector is multiplied or divided by a scalar, the result is still a vector because the operation only acts on the magnitude and not the direction of the vector.

However, a vector can not be divided by another vector .

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a person standing in the ocean notices that after a wave crest passes by ten more crest pass in a time of 120s what is the frequency

Answers

The frequency of a wave is defined as the number of complete oscillations per unit of time:
[tex]f= \frac{N}{t} [/tex]
For the wave in this problem, we have 10 oscillations (because 10 crests pass through a given point in space) in a time of 120 s, therefore the frequency of the wave is
[tex]f= \frac{10}{120 s}=0.083 Hz [/tex]

Yor older sister drove 500 miles to college one way in ten hours. what is her average velocity?

Answers

Final answer:

To calculate the average velocity, which in this context is the average speed due to lack of a specified direction, divide the distance by the time. For your sister's trip, it would be 50 miles per hour.

Explanation:

Your older sister drove 500 miles to college in ten hours. To calculate her average velocity, you simply divide the total distance traveled by the time it took to travel that distance. Average velocity is a vector quantity, which means it includes both magnitude (how fast) and direction, however, if only the distance and time are known, and the direction is not specified, people often refer to the magnitude part of velocity simply as speed.

Formula to calculate average velocity (speed in this context) is:

Average Velocity = Total Distance Traveled / Total Time Taken

Plugging in the numbers:

Average Velocity = 500 miles / 10 hours = 50 miles per hour

So, her average speed would be 50 miles per hour.

Carter pushes a bag full of basketball jerseys across the gym floor. The bag weighs 21 newtons. If he pushes the bag 9 meters in 3 seconds, how much power does he use? (Hint: 1 watt = 1 .)

Answers

Power= Force times distance divided by time. 
P=?
F= 21 N
D= 9 m
T= 3 s
P=Fd/t
P=21*9/3
P= 63 W

Usain bolt can run the 100 m dash in 9.58 s. what is usain's average acceleration during this sprint?

Answers

Assuming Usain Bolt starts from rest (so, its initial velocity is zero), and that his motion is uniformly accelerated, his position at time t  is given by
[tex]S(t) = \frac{1}{2}at^2 [/tex]
where a is the average acceleration and t the time. In our problem, the distance covered is S=100 m and the time taken is t=9.58 s, therefore the average acceleration can be found by re-arranging the previous formula:
[tex]a= \frac{2S}{t^2}= \frac{(2)(100 m)}{(9.58 s)^2}=2.18 m/s^2 [/tex]

A violin string playing the note "a" oscillates at 440 hz. what is the period of the string's oscillation? answer in units of s.

Answers

The frequency of a wave is equal to the reciprocal of its period:
[tex]f= \frac{1}{T} [/tex]
where f is the frequency and T the period.

The violin string of our problem emits a note with frequency f=440 Hz, so if we re-arrange the previous equation, we can find the period of the string's oscillation:
[tex]T= \frac{1}{f}= \frac{1}{440 Hz}=0.0023 s [/tex]

Answer:

0.002272727

Explanation:

1/440= 0.002272727

What plate matches almost perfectly with the ring of fire, where most of the world's earthquakes and volcanoes occur? *?

Answers

Pacific Plate and Juan de Fuca 6.

Answer:

Pacific Plate

The Ring of Fire is largely a result of plate tectonics, where the massive Pacific Plate interacts with less-dense plates surrounding it.

In Milgram's experiment:

A. the "learner" sometimes had lasting injuries.
B. two-thirds of people refused to participate.
C. almost no one went to 450 volts.
D. almost two-thirds of participants went all the way to 450 volts.

Answers

D is most likely the answer.

Hope this Helped!

;D

In Milgram's experiment: Almost two-thirds of participants went all the way to 450 volts. (option D)

What is Milgram's experiment?

In Milgram's experiment on obedience, participants were instructed to administer electric shocks to a "learner" (a confederate) whenever they answered questions incorrectly.

Contrary to expectations, almost two-thirds of the participants continued to administer shocks up to the maximum voltage of 450 volts, despite the learner's apparent distress.

This shocking result revealed the extent to which people can follow authority figures, even when it involves causing harm to others, highlighting the power of social influence and obedience.

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1. How will the ice water mix with the salty water? Write your hypothesis below.

Answers

Answer: If the ice is mixed in with the salty water then, the ice will melt slower

Explanation:

The application of salt actually causes ice to melt because a solution of water as well as disbanded salt has a lower freezing point than pure water.

What is freezing point?

The temperature at which water freezes is referred to as the freezing point. When discussing the weather, the term "freezing point" is frequently used.

Throughout the day, the temperature remained below freezing. A substance's freezing point is the temperature at which it freezes.

A melting point is the temperature at which a solid transforms into a liquid under normal atmospheric pressure.

Melting is actually slowed in a salty liquid because the cold melted water sits on top of the denser salty water. This prevents heat from rapidly reaching the ice.

The implementation of salt causes severe ice to melt because a solution of water and dissolved salt does have a lower freezing point than distilled water.

When ice comes into contact with salty water, it melts, releasing more liquid water, which dissolves more salt, causing more ice to melt, and so on.

Thus, this way salt acts on the ice.

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evaluate the important of radioactive isotopes in determining the age of earth

Answers

If we can measure the half life of the oldest materials we can determine based on radioactive decay how old the objects are... hope it helps

Radioisotopes are different species of the same chemical atom which varies in atomic masses but have the same atomic number. They have an unstable nucleus which results in the release of excess energy in the form of gamma, beta and alpha rays.

Importance of radioisotopes:

Radio active elements are used in determining the age of the planet and other fossils discovered by radiometric dating.

The radioactive elements have a special feature of breaking down over time with a constant rate of decay resulting in the geological evidence of ages which can be determined by the half-life of radioactive substances.

Therefore, radioactive isotopes are important in determining the age of the earth.

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The energy gained by electrons as they are accelerated by an electric field is

Answers

The energy gained by an electron as it is accelerated by an electric field is equal to the work done by the electric field itself, and this is equal to the product between the charge of the electron and the potential difference across which the electron traveled:
[tex]\Delta U = W = e \Delta V[/tex] (1)
where e is the electron charge, and [tex]\Delta V[/tex] is the potential difference between the initial and the final point of the electron, and this is equal to
[tex]\Delta V = Ed[/tex] (2)
where E is the intensity of the electric field and d is the distance covered by the electron. If we substitute (2) into (1), we find a final expression for the energy gained by the electron
[tex]\Delta U = e E d[/tex]

I have 2 questions
1.How does your ear drums feel when u dive deep into a swimming pool?

2. why does your ear hurt when under water ?
(This is related to fluid pressure)

Answers

1. your ear drums feel like they pop when you go deep enough under water. kinda feels like bricks. and it hurts if you stay under to long.

2. this could be a reaction from fluid pressure yes. can could be avoided by getting wax ear plugs however even with ear plugs going deep enough under water can still make your ears "pop" due to pressure but at high surfaces it would avoid that.

Please rate me brainliest?

Final answer:

Underwater, the pressure increases and pushes against your eardrums, causing discomfort or pain. This feeling, known as barotrauma, arises due to the difference in pressure between the outer part of the eardrum in contact with the water and the inner part in contact with the air.

Explanation:

When you dive deep into a swimming pool, the pressure of the water increases. This increased pressure pushes against your ear drum, or tympanic membrane, potentially causing discomfort or pain. This phenomenon is related to the physics of fluid pressure: the deeper you go underwater, the more fluid is above you, and thus the greater the pressure exerted on your body, including your eardrums.

The feeling of ear pain underwater arises due to the imbalance caused by water pressure especially when we aren't able to equalize the difference in pressure between the outer part of the eardrum (in contact with the water) and the inner part (in contact with the air in the middle ear), thus leading to that uncomfortable feeling known as barotrauma.

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A 30-year-old woman who suffers from arachnophobia (fear of spiders). She avoids going outside due to the severity of her phobia. what therapy is recommended

Answers

a cognitive behavioral therapy would help for that phobia

Your class decides to build a circuit to make a light bulb shine. When you are finished, you have a setup with wires, a light bulb and a battery.

What role does the battery play in this circuit design?
A) The battery works as the system's wires.
B) The battery is the electrical power supply.
C) The battery is the circuit's main conductor.
D) The battery works as the system's electrical switch.

Answers

The answer to this question would be B (the battery is the electrical power supply)

The electric current running through the wire coil in an electric motor exerts force directly onto

Answers

It’s electromagnetic

Answer: C

a powerful magnet

Explanation:

its the correct answer

How long does it take if a snail was to travil a distance of 3 ft at 0.1 ft/sec?

Answers

I think it's 30 seconds

Which lens can produce a virtual image and a real image?
concave lens

convex lens

flat lens

Answers

Final answer:

A convex lens can produce both real and virtual images, depending on the object's position relative to its focal point. Concave lenses only form virtual images, and flat lenses don't produce any focused images.

Explanation:

The convex lens is capable of producing both real and virtual images. This is because a convex lens converges light rays. When the object is placed at a position beyond the focal point of the lens, a real, inverted image is formed. A virtual image is formed when the rays of light appear to be coming from a point behind the lens, whereas a real image is formed when the rays of light converge and meet at a point in front of the lens.

In the case of a convex lens, a virtual image is formed when the object is located between the focal point and the lens, and a real image is formed when the object is located beyond the focal point.

However, when the object is positioned within the focal point, the lens creates a virtual, upright image. On the contrary, a concave lens can only produce virtual images, while a flat lens cannot produce any focused image.

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A convex lens can produce both real and virtual images; concave lenses can only form virtual images. A real image is inverted and formed outside the focal length, whereas a virtual image is upright and formed within the focal length.

In answering the question about which lens can produce both a virtual and real image, we focus on the types of lenses: concave, convex, and flat. Out of these, the convex lens (also known as a converging lens) can form both real and virtual images. A real image is formed when the object is placed outside the focal length of the convex lens, and it is inverted. A virtual image is formed when the object is within the focal length of the lens, and it is upright and cannot be projected onto a screen. In contrast, a concave (diverging) lens can only produce virtual images, and flat lenses typically do not produce either type of image in the same manner as curved lenses.

Which section of the reaction represents the reactants? A) a B) b C) c D) d

Answers

This question is incomplete, but I can do it for you, considering the equation to be *In its most famous form*:
A+B⇒C+D
A and B here are the reactants, while C and D are the products.
The reactants are generally the input materials in the beginning of any chemical reactions and they usually, if not always, are on the left hand side of the chemical equation. While the products are on the right hand side and are the final output of the chemical reaction.

Hope this helps.

Answer:A

Explanation:

Determine tge energy in joules of a photon whose frequency is 3.55x10

Answers

E = hf
E = 6.63×10^-34 × 3.55×10 eV
1 eV = 1.60×10^-19 J
E = 6.63×10^-34 × 3.55×10 × 1.60×10^-19
E = 3.77×10^-51 J

Hope it helped!

A rod made up of a single element is used to heat water using electricity. To which group does this element probably belong to?

Answers

Final answer:

The element in a heating rod that heats water through electricity likely belongs to the group of metals or alloys that are good conductors of heat and electricity. The resistance these metals or alloys offer to electric current results in heating, which converts electric energy into the thermal energy used to heat the water.

Explanation:

The element used in a heating rod to heat water through electricity likely belongs to the category of metals or sometimes alloys with high resistance, such as a mixture of nickel and chrome. These materials are chosen because they are good conductors of heat and electricity, and they resist the flow of electric current to a certain degree, which causes them to heat up. This resistance effectively transforms the electric energy into thermal energy that heats the water.

As for the input energy in this system, it is the electrical energy provided by plugging in and switching on the kettle. The electricity is the source of energy that, due to resistance within the metal coil or heating element, is converted into heat which in turn increases the temperature of the water.

Which planet might best be described as a large dirty ice ball?

Answers

this planet would be known as pluto

The planet that is BEST described as a dirty ice ball would be the planet Pluto

hope this helps

What is the density of a rock that has a mass of 10 grams and the volume of 2ml?

Answers

it will be
d=m/v
=10/2
=5g/ml

The moon most likely formed

A. From a collision of Earth with a Mars-sized object.
B. In another region of space and drifted toward Earth.
C. From material in the solar system that came together.
D. In the same way as Earth formed.

Answers

A from a collision from a mars sized object
for the earth moon systems the answers are

d
b
a
d
d

What does this graph show about the relationship between mass and acceleration? As acceleration increases, mass increases. As acceleration increases, mass is unaffected. As mass is unaffected, acceleration decreases. As mass increases, acceleration decreases.

Answers

Describe the relationship between net force and acceleration when mass is held constant. The relationship is directly proportional. This means when net force increases so does acceleration. ... B. Graph the line of Fn (net force) and A (acceleration).
D. as mass increases, acceleration decreases.

What type of energy transfer mechanism needs no medium to travel through?

Answers

Radiation is transfer of heat through electromagnetic waves through space. Unlike convection or conduction, where energy from gases, liquids, and solids is transferred by the molecules with or without their physical movement, radiation does not need any medium (molecules or atoms).

Which of the following is the correct formula for calculating power

A. P= F/W
B. P= W x F
C. P= t x F
D. W/t

Answers

Power is energy per unit time. Therefore, D is the correct one

You can see a clock in a spaceship moving past you at 90 percent of the speed of light. according to you, how much time would pass while the clock in the spaceship ticked through one minute?

Answers

[tex]t = \gamma\tau, \textnormal{ where } \gamma \equiv \frac{1}{\sqrt{1-\frac{v^2}{c^2}}}, \textnormal{ }\tau \textnormal{ is the proper time 60s} \\ t = \frac{60s}{\sqrt{1-0.9^2}} = 137.65s \textnormal{ } (5 s.f.)[/tex]

Abdul has not eaten in a while, so his endocrine system releases hormones that slow the process of digestion, which in turn slows the production of materials for new cells. What process in Abdul is being regulated by hormones?

Answers

I'm not really that sure but here we go... His growth process is being limited by the lack of nutrients that he needs. 

metabolism. when you do not eat, your body's metabolism is put off.

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