The spring constant is 38.6 N/m
Simple harmonic movement is a unique kind of periodic motion in which the restoring force on the shifting item is without delay proportional to the value of the item's displacement and acts toward the item's equilibrium role.
Calculation:-
A. Time period T = 2π√m/K
T² = (2π)² m/k
⇒ K = 4π²m/k
⇒ K = 4π²m/T²
= 4π²×0.55/(0.75)²
⇒ K = 38.6 N/m
Simple harmonic motion is defined as a periodic motion of a factor alongside an instant line, such that its acceleration is usually towards a hard and fast factor in that line and is proportional to its distance from that factor.
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The lower the ph value the larger the concentration of hydrogen ions
The lower the ph value the larger the concentration of hydrogen ions.
What is ph value?In chemistry, pH, historically denoting "potential of hydrogen", is a scale used to specify the acidity or basicity of an aqueous solution. Acidic solutions are measured to have lower pH values than basic or alkaline solutions.
A pH of 7 is neutral. A decrease in pH below 7 shows an increase in acidity (hydrogen ions), while an increase in pH above 7 shows an increase in alkalinity (hydroxyl ions). Each pH unit represents a 10-fold change in concentration.
The lower the ph value the larger the concentration of hydrogen ions.
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while doing pushups, the toes are the point around which rotation occurs. thus, they form the fulcrum of the lever.
Using the theories of fulcrum ,we got that it is true that while doing pushups, the toes are the point around which rotation occurs. thus, they form the fulcrum of the lever.
A fulcrum is the stationary point of a lever while a lever arms connect the fulcrum to the points on the lever arms that are actually vertically aligned with the centers of mass
Hence, while doing pushups, the toes are the point around which rotation occurs. thus, they form the fulcrum of the lever is true.
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(Complete question) is:
while doing pushups, the toes are the point around which rotation occurs. thus, they form the fulcrum of the lever, Select true : false.
if the tmt and e-elt get built as planned, what is one exciting potential discovery that astronomers hope to be able to make with them?
One exciting potential discovery that astronomers hope to be able to make with the E-ELT and TMT is life on other planets.
TMT and E-ELT are (currently) proposed telescopes. TMT (short for Thirty Meter Telescope) is a very large telescope composed of many small mirrors each about 1,4m in size. E-ELT (short for European Extremely Large Telescope) is going to be around 39m in diameter.
These proposed telescopes have very high resolution and sharper detection. They will be able to detect any exoplanet's atmosphere while it's transiting its star. In that detection, these telescopes may search for any biomarker molecules to detect the presence of life and habitability of the exoplanet.
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based on coulomb's law of electrostatic attraction of oppositely-charged species, which of the following chlorine-containing compounds would be predicted to have the greatest (most exothermic) lattice energy? group of answer choices
The Correct option is (c) .
NaCl , has the largest (most exothermic) lattice energy by applying Coulomb's law.
Using Columbus' law of electrostatics, we have
F = q₁× q₂ / r²
where F ---> attraction between oppositely charged particles
lattice energy: strength of bond between oppositely charged ions , depends on the distance between the centers of ions when they are packed into a crystal, and the bond strength can be determined by the lattice energy.
We need to know how the lattice energy is affected by the properties of the ions. The increase in lattice energy is two properties we usually focus on. As the ion charge increases, the lattice energy increases. Reducing the size of the ions increases the lattice energy. As the ion becomes smaller, the lattice energy increases. They are all ions. Cations have the same charge as all other cations. We can see the size of the ion. The smallest cation is the one Sodiam from other cations.
Hence, NaCl have largest lattice energy.
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Complete Question
Based on Coulomb's Law of electrostatic attraction of oppositely- charged species, which of the following chlorine-containing compounds would be predicted to have the greatest (most exothernic) lattice energy? a)KCI
b)CaCl₂
c) NaCl
d)MgCl₂
two objects in thermal equilibrium with a third object are in thermal equilibrium with each other."" which law of thermodynamics is this?
The zeroth law of thermodynamic states that if two systems are in thermal equilibrium in equilibrium. with a third system, they are. with each other".
One of the four fundamental laws of thermodynamics is the zeroth law. It offers a stand-alone definition of temperature that excludes the second law's concept of entropy. Ralph H. Fowler created the law in the 1930s, many years after the first, second, and third laws had gained widespread acceptance.
According to the zeroth law, if two thermodynamic systems are in thermal equilibrium with one another and with a third system separately, then all three systems are in thermal equilibrium with one another.
The mathematical representation of thermodynamics depends on the zeroth law. It mathematically transforms the relationship between systems' thermal equilibrium into an equivalence relation, which can symbolize the equality of a particular quantity related to each system.
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a kilogram of mercury is poured into a kilogram of water. assume that all heat transfer is between the water and the mercury and not from the outside or to the outside. given that the thermal conductivity and specific heat of mercury are typical of a metal, the final temperature of the water-mercury system will be
The generation, consumption, conversion, and exchange of thermal energy across physical systems is the focus of the thermal engineering field of study known as heat transfer.
Despite mercury having a far higher heat conductivity than water, this doesn't really matter in this situation. Here, H represents the heat transmission. Then, a key factor in this situation is the particular temperatures of these compounds. Compared to mercury, water has a substantially higher specific heat. So, unlike how the temperature of mercury has changed, the temperature of water won't fluctuate as much. Since the mass of both substances is the same, the system's end temperature will be considerably closer to the water's initial temperature.
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how could you generate a larger emf with the bar magnet? 2. you should have observed that the voltage peaked in one direction for moving the magnet in and peaked in the other direction for moving the magnet out. why is this? 3. by inducing positive and negative voltage peaks in your coil, determine the
To generate a larger emf with the bar magnet one should move the magnet faster through the coil and add more turns to the coil.
What is Emf?An energy transfer to an electric circuit per unit of electric charge, expressed in volts, is known as electromotive force in electromagnetism and electronics. Electrical transducers are devices that create an emf by transforming non-electrical energy into electrical energy.
What is a Bar magnet?A rectangular section of an object with permanent magnetic qualities that is formed of ferromagnetic material is known as a bar magnet.
A shift in magnetic flux is an induced EMF's most fundamental cause. Placing a coil that is constantly moving and conducting current in a magnetic field that is static and stable. EMF will be produced as a result of the area vector changing as a result of this.
You should have observed that the voltage peaked in one direction for moving the magnet in hand peaked in the other direction for moving the magnet out this is because according to Faraday's Law, a voltage is produced in a coil of wire when a magnet is moved inside of it, altering the magnetic field and magnetic flux through the coil. The galvanometer deflects to the left in the example below as the magnet is moved inside the coil in response to the growing field.
Hence, To generate a larger emf with the bar magnet one should move the magnet faster through the coil and add more turns to the coil.
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particle a and particle b, each of mass m, move along the x-axis exerting a force on each other. the potential energy of the system of two particles associated with the force is given by the equation u
The speed and direction of motion of particle B is 2v₀/3 m/s towards left.
Potential energy is stored electricity that relies upon the relative function of various elements of a device. Spring has more capacity energy when it's miles compressed or stretched. A metallic ball has greater potential energy raised above the ground than it has after falling to Earth.
Potential energy is the electricity held by using an object due to its function relative to other objects, stresses within itself, its electric-powered charge, or different factors.
K.E₁ + P.E₁ = K.E₂ + P.E₂
1/2Mv² + G/r² = 1/2Mv² + G/r²
1/2Mv² = 1/2mv²
v² = v²
Va = Vb
V = 2v₀/3 m/s towards left.
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Disclaimer:- your question is incomplete, please see below for the complete question.
Particle A and particle B, each of mass M, move along the x-axis exerting a force on each other. The potential energy of the system of two particles associated with the force is given by the equation U=G/r 2, where r is the distance between the two particles and G is a positive constant. The speed and direction of motion of particle B is?
some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. what force (in n) must a 64.0 kg grouper exert to stay submerged in salt water if its body density is 1003 kg/m3?
The force (in n) must a 64.0 kg grouper exert to stay submerged in salt water if its body density is 1003 kg/m3 will be 15.6 newtons.
The push or pull on a mass-containing item changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. Therefore, we have the mass of the fish times g times the ratio of densities minus 1, which is 85.0 kilograms times 9.80 newtons per kilogram times 1.025 times 10 to the 3 kilograms per cubic meter (density of seawater) divided by 1015 kilograms per cubic meter (density of the fish) and equals 8.21 newtons.
F= d/a
=1003 /64
=15.6 N
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What type of interference occurs when the crests of one wave overlaps with the crests of another wave?.
When the crests of two waves overlap, constructive interference takes place. The crests of the waves combine as they pass through one another to create a wave with a larger amplitude. When two troughs come into contact, the same thing may happen.
A phenomenon known as interference occurs when two waves merge by adding their displacements at each and every point in space and time to create a new wave that may have a larger, smaller, or same amplitude. The amplitudes are progressive if one of the waves' crests coincides with another wave's crest. The resultant amplitude would double if the two waves' amplitudes were equal. Remember that the square of the amplitude determines how much light there is in an area. Constructive interference happens where the lines—which represent the peaks—cross one another. In other words, when two waves are in phase, constructive interference happens. Destructive interference results when two waves are completely out of phase (a peak is situated in the middle of two waves).
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A clerk at a hardware store performed the activities in the list.
Activities
1. Pushed a 300 N box for 5 m across a floor using 110 N of force
2. Lifted a 490 N box of tools from the floor to a shelf 1.5 m high
3. Held a 50 N clay pot for 4 minutes for a customer while the customer did more
shopping
Which statement best describes the amount of work performed for the three activities?
O Activity 1 was the only activity that required work.
O Activity 2 required the most work.
O Activity 1 required the same amount of work as Activity 3.
Activity 3 required more work than Activity 1, but Activity 3 did not require more work than Activity 2.
Activity 1 and Activity 3 both needed extra work than Activity 2, while Activity 3 did not.
What is a job?When an object is displaced over a distance by such an external force, at least a portion of that force must be supplied in the directions of a displacement. This is known as work in physics. The quantity of force required to move a thing a specific distance is referred to as the work done.
Which three forms of job are there?Three categories can be used to classify the type of labor performed. Positive work, negative work, and zero work are the three types. The angle among force and displacement determines the kind of work that is done. Positive work occurs when a force is applied and an object is moved in that direction.
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if the electric field emitted by a radio tower has an amplitude of 239 v/m, what is the amplitude of the corresponding magnetic field?
If the electric field emitted by a radio tower has an amplitude of 239 v/m, the amplitude of the corresponding magnetic field will be H = 0.64 A/m
E / H = [tex]\sqrt{mu0 / epsilon 0 }[/tex]
238 / H = [tex]\sqrt{4*3.14*10^{-7} / 8.85 * 10^{-12} }[/tex]
238 / H = 374
H = 0.64 A/m
The amplitude of the corresponding magnetic field will be H = 0.64 A/m
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a pressure sensor was used to measure the unsteady pressure in a cylinder. the sensor output was acquired for 8 seconds at a rate of 269 hz and spectral analysis was performed using fft. is zero padding or truncation needed? type your answer as a number where: 1
In the analysis of measuring the unsteady pressure in the cylinder using the FTT method, a zero-padding required to 2¹²= 4096 or a truncation required to 2¹¹ = 2408 points.
Answer 1
The "Fast Fourier Transform" (FFT) is an important measurement method in the science of audio and acoustic measurements. It converts the signal into individual spectral components and thus provides frequency information about the signal. FFT is used for fault analysis, quality control, and machine or system condition monitoring.
Find the total data points:
N = Frequency x time
N = (259) (8)
N = 2152
The total number of data points is 2152
It is required to use the powers of 2 data points in the FTT algorithm. The nearest powers of 2 values for data points are:
2¹¹= 2408
2¹² = 4096
Therefore, there is a zero-padding required to 2¹²= 4096 or a truncation required to 2¹¹ = 2408 points.
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A 70. 0-kg man jumps 1. 00 m down onto a concrete walkway. His downward motion stops in 0. 0200 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones?.
The force transmitted to the man's leg bones during his downward motion is 14,945 N
State the equations of motion
The fundamentals of an object's motion, such as its position, velocity, or acceleration at different periods, are described by kinematics equations of motion or Newton’s equations of motions.
An object's motion in 1D, 2D, and 3D is controlled by these three equations of motion-
First law of equation: v = u + at
Second law of motion: s = ut + at^2/2
Third law of motion: v^2=u^2 + 2as.
In the question, the following informations are given,
Mass of the man, m = 70kg
Height the man jumps, h = 1.00 m
Time taken to reach the ground, t = 0.02 seconds
Using the 3rd equation of motion we find out the velocity with which the man comes down as-
v^2 = u^2 +2gh
v^2 = 0 + 2 x 9.8 x 1
v^2 = 19.6
v = √19.6
= 4.27 m/s
Since force is determined by both time and acceleration therefore using the formula of force we find out the velocity as-
F = mass x acceleration
= mass x velocity/time
= 70 x 4.27/ 0.02
= 14,945 N
Hence, the force transmitted to his leg bones is 14,945 N
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What type of interference occurs when the crests of one wave overlaps with the crests of another wave?.
Constructive interference occurs when crests of one wave overlap the crests of the other wave.
What are the properties of constructive interference?
The two waves must travel through the same medium along with the properties of the waves must be the same. They should have same amplitude and wavelength. The amplitude of the wave is the height of the crest or trough. Upward displacement occurs when the waves undergo constructive interference; hence, the upward displacement of the medium is greater than the displacement of the two interfering pulses.
It occurs when the phase difference between the two waves is an even multiple of π (180°).
Example: When we see two speakers right next to each other, we can experience constructive interference when the distance from each speaker to the observer is the same. The path difference should be equal to zero.
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suppose each of the following objects could collapse into a black hole. each black hole would have a sphere around it that is the limit for escape -- once you are inside this region, you cannot get away. for which object would this region be the largest in diameter?
Suppose each of the following objects could collapse into a black hole. Each black hole would have a sphere around it that is the limit for escape -- once you are inside this region, you cannot get away. An entire galaxy of stars would be this region that will be largest in diameter.
Strong magnetic field surrounding a black hole. A black hole is a very dense object whose gravity is so powerful that nothing can escape from it, not even light. The smallest speed at which anything needs move in order to escape the gravitational field of an object is known as the "escape velocity" for every object in space.
Most black holes are created from the remains of massive stars that explode in supernovae. Smaller stars eventually develop into dense neutron stars, which lack the mass necessary to confine light.
The discovery, which is slightly under 1,600 light-years away, raises the possibility that binary systems contain a substantial number of dormant black holes. The closest black hole to Earth so far has been identified as Gaia BH1, which may be seen in this artist's conception close to its Sun-like partner star.
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A baeball i thrown vertically into the air. What i the velocity and acceleration
of the ball at it highet point
The correct answer is velocity and acceleration at highest point of the ball is 0 m/s and 9.8 m/s² respectively.
How velocity and acceleration is related?
The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
When a body is thrown vertically upward, it will travel along a route determined by the Earth's gravitational pull. Projectile motion is described as the motion. The gravitational pull and the air drag force both work against the ball when it is in motion.
Thus, velocity and acceleration at highest point will be 0 m/s and 9.8 m/s² respectively.
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if buoyant force push things upwards, why don't hot air balloons and planes get pushed into outer space
Answer:
I think that's because the force of gravity is greater than the buoyant force, and for the hot air balloons, they can increase/decrease the temperature of the air in the balloon in order for it to rise/fall for more control. For planes, they use aerodynamics as well as the help of a couple of engines to thrust the plane forward. I hope this helps.
p8.26 a coastal power plant takes in cooling water through a vertical perforated manifold, as in fig. p8.26. the total volume flow intake is 110 m/s. currents of 25 cm/s flow past the manifold, as shown. estimate (a) how far downstream and (b) how far normal to the paper the effects of the intake are felt in the ambient 8-m-deep waters.
Here, the sink strength is related to the volume flow to the depth into the flat surface.
m = 271 b
where,
Q→ Total volume flow rate
b→ Ambient Depth of water
Given, Q value as 110m²/s & bas 8m. Substitute, 110 m²/sec for a 8 m for b
Now,
m = 110 m = 2.1895 m²/s
a) The distance of the downward stream,
a = m/u∝
Here,
The velocity of water currents Substitute 0.25 m/s for U∝,
2.1895 m²/s for m
= 2.1895/0.25
a = 8.758 m
∴ The distance of the downward stream a = 8.758 m.
b) The far normal to the paper the effect of intake left on each side.
L = Па
We have, a value of 8-758
So, substitute a = 8.758 frew above
L = π X 8.758 L = 27.5m
The for normal to the paper the effect of intake left on each side,
L =27.5m.
Towards or near the mouth of a stream swimming downstream. is two miles downstream. At the end of the normal industrial process or at a post-manufacturing stage. Those that migrate downstream migrate from points further upstream towards the estuary.
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A 1.5 kg mass is pulled at a constant speed with a force of 6N. What is the constant of friction between the surface and the mass
The constant of friction between the surface and the mass of 1.5 kg being pulled with a force of 6 N is 0.408.
What is friction?Friction is a force that oppose the motion between two bodies in contact.
To calculate the constant of friction between the surface and the mass, we use the formula below.
Formula:
μ = F/mg.......... Equation 1Where:
μ = Contant of frictionF = Forcem = Massg = Acceleration due to gravity.From the question,
Given:
F = 6 Nm = 1.5 kgg = 9.8 m/s²Substitute these values into equation 1
μ = (6)/(1.5×9.8)μ = 6/14.7μ = 0.408.Hence, the constant of friction between the surface and the mass is 0.408.
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borgmann provides the example of running as a focal practice and distinguishes it from running on a treadmill in what significant way?
Borgmann provides the example of running as a focal practice and distinguishes it from running on a treadmill in that running (outside) engages the mind and body, while running on a treadmill only engages the body.
Focal practice is human activity that demands patience, skill, and attentiveness. They make life feels meaningful not because of what they produce, but because of what they are. These activities are not accomplished effortlessly. They require focus, engagement, and commitment to achieve their goal.
Some examples of focal practice activities are meditation, gardening, hiking, preparing a meal, tending a fire, and learning a musical instrument.
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on its highest power setting, an 880-watt microwave oven heats a bowl of spaghetti. (a) find the intensity of the microwaves, given they are absorbed over a circular area 16 cm in diameter. w/m2 (b) what is the peak electric field strength of the microwave? v/m (c) what is its peak magnetic field strength? t
The intensity is 4400 w/m2 , strength of the microwave is 1820 V/m and magnetic field strength is606.66× 10-8 T .
What is intensity?
The power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation. It is measured in watts per square metre (W/m2) in the SI standard.
a.) Average intensity=I
I=P/A where, P= power
A= area of the circle
= π r2
As we are given the diameter and r= d/2 , so area= π d2/4
d= 16cm= 0.16 m
area = 3.14× (0.16)×2 /4 = 0.20
P= 880W
I= 880/0.2= 4400 w/m2
b.) I =0.5 c e0 Emax2
Where c = speed of light = 3 108 m/s
e0= 8.85×10-12
Emax= peak of electric field =√ 2I / c ×e0
= √2×4400/(3×108)×8.85 ×10 -12
⇒1820 V/m
Bmax= peak of magnetic field strength
Bmax = Emax/ c
⇒1820/ 3× 108
⇒606.6 ×10 -8 T
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Bumps, Blemishes and Beyond
Imagine that you are working in either a cosmetic surgery clinic or a medical spa, and you
are meeting a client for the first time. They have come to you for a simple procedure, but
when you're doing the consultation with the person, you notice some suspicious-looking
lesions on their skin. You explain to the client that you are concerned about them, and you'd
like them to see their healthcare provider before you can proceed with treatment. They ask
you to write your findings down so that they can share them with their primary care provider.
You are going to search for images of two different types of lesions online and imagine them
to be what your client is presenting with. Using the terminology that you learned about
lesions, describe them in enough detail that someone could picture the areas in their mind
without the images. You will be expected to submit the images to the dropbox to support
your written work. You will need to include the type, shape, distribution, color, size, and
presence of drainage in your descriptions for it to be considered complete.
Benzoyle peroxide
This chemical helps to eliminate excess oil from the skin, kills acne-causing bacteria, and removes dead skin cells that can block pores. Products containing benzoyl peroxide are sold over the counter in strengths ranging from 2.5% to 10%.
Can blemishes be removed with Vaseline?He continues by saying that the petroleum jelly itself is ineffective at treating the zit. By creating a seal over the skin, it actually aids in protecting the skin barrier as the zit heals.
Do skin imperfections disappear?Scars from acne do not completely disappear on their own. With age, depressed acne scars frequently grow more obvious due to collagen loss in the skin. But there are numerous procedures that might lessen the prominence of acne scars. hyperpigmentation following inflammation or Within a few months, redness could naturally.
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✓= √219.8113) ✓=5.8 m/s RE=1/6/240)100.07²: / 44,946.75
Suzie Lavtaski (m=56 kg) is skiing at Bluebird Mountain. She is moving at 16 m/s across the crest of a ski hill
located 34 m above ground level at the end of the run.
+719
775
a. Determine Suzie's kinetic energy.
b. Determine Suzie's potential energy relative to the height of the ground at the end of the run.
c. Determine Suzie's total mechanical energy at the crest of the hill.
d. If no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then
what will be Suzie's total mechanical energy at the end of the run?
e. Determine Suzie's speed as she arrives at the end of the run and prior to braking to a stop.
• Audio Guided Solution
• Show Answer
a.) Kinetic energy = 1/2 × mv^2
=1/2 × 56 × 16^2
=7168 J
b.) Potential energy = m .g. h
=56 ×9.8 ×34
=18,678.24 J
c.) Total energy = kinetic energy + potential energy
=7168+18,678.24
=25,846.24 J
d ) Because no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then the total mechanical energy at the top of the hill or any place across the crest and the bottom of the crest .
Thus , Total mechanical energy = 25,846.24 J
e) As we know, total energy = potential energy + kinetic energy
but at the end of the run it's potential energy is zero.
So, Total energy = 1/2 ×m ×v^2
25,846.24= 1/2 ×56 ×v^2
V= 30.38 m/s
Hence, Suzie's speed as she arrives at the end of the run is 30.38 m/s
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the speed of the incoming water is 15 cm/s and the cross-sectional area of the hose carrying the water is 4.0 cm2. 1) determine the time required for a 30-l container to be filled with water. (express your answer to two significant figures.)
The time required to fill a 25 liter container with water is 8.3 minutes.
What is time?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present, and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.It is possible to define time as the dimension on which any system evolves.Its length can be expressed in terms of milliseconds, seconds, minutes, hours, days, weeks, months, and years.It is a quantity that is a part of several measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly things change in the real world or in our conscious experience.To learn more about time from the given link :
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In a classic experiment, a ball (ball 1) is dropped from a specific height. At the same time, an identical ball (ball 2) is launched horizontally from the same height. Which ball hits the ground first?.
Answer:
Explanation:
The answer to the question related to the time for two balls to reach the ground is option C, the two balls will reach the ground at the same time because the horizontal and vertical planes of motion are independent of each other, and they are also released from the same height.
When a ball is dropped, knowing the height we could find the time with the following equation:
(1)
Where:
: is the final height
: is the initial height
: is the initial speed of the ball in the vertical direction = 0 (it is dropped)
g: is the acceleration due to gravity
When the ball is launched horizontally from the same height, we could find the time with equation (1) since the acceleration in the horizontal direction is zero and the initial velocity in the vertical direction is also zero.
The horizontal motion is related to the equation:
(2)
We can notice in both cases that the ball is accelerated only by gravity.
Let's evaluate each statement
A) This statement is incorrect because the path is the same for both cases. The ball is dropped and launched from the same height.
B) This statement is also incorrect. The velocity of the dropped ball is the same as the velocity of the launched ball because the ball is accelerated only by gravity.
C) This statement is correct. We can see that we would get the same time in equation (1) since , , and is the same for the dropped ball and the launched ball.
D) This statement is incorrect. The nature of motion is related to a freefall motion in both cases.
Therefore, the answer is option C.
a car is towing a boat on a trailer. the driver starts from rest and accelerates to a velocity of 11.0 m/s in a time of 27.2 is. the combined mass of the boat and trailer is 514 kg. the frictional force acting on the trailer can be ignored. what is the tension in the hitch that connects the trailer to the car?
The correct answer is 207 Newton Tension in the hitch that connects the trailer to the car.
What is Newton's second law of motion?
The relationship between the force applied to an object with mass and its net acceleration is described by Newton's second law of motion. This relationship is mathematically precisely proportional, which means that a greater force will produce a greater acceleration.
Given,
Initial Velocity = u = 0 m/s
Final Velocity = v = 11 m/s
Time = 27.2 Sec (Unit of time is not given, we consider Second as unit of time)
Mass = 514 Kg i.e., combined mass of boat and Trailer
Force = Mass x Acceleration (As Acceleration= Velocity / Time)
= 514 x (11 / 27.2) = 207 N
Hence Tension is 207 N in the hitch that connects the trailer to the car (Frictional force is neglected here).
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A family in a car with the ma of 1400 kg. In an accident it hit a wall and goe from a peed of 27 m/ to a tandtill in 1. 5 econd. Calculate the force involved
The force involved is F₁.₅=-25.2KN when the car hit a wall and goes from a speed of 27m/s
What is meant by force?A force is an influence in physics that can modify the velocity of an object. A force can modify the velocity of a mass item. A force is a vector quantity since it has both magnitude and direction. It is measured in newtons, the SI unit of mass (N). The sign F represents force.
In its original form, Newton's second law states that the net force acting on an object equals the rate at which its momentum varies with time.
We know that,
Force=ma
F=ma
F=m((v-u)/t)
Given, t=1.5 second
Velocity v=0m/s at stand still
And mass m=1400kg
Speed u=27m/s
F₁.₅=1400((0-27m/s)/1.5)
F₁.₅=-25.2KN
Therefore, the force involved is F₁.₅=-25.2KN
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Complete the following statement: when a net torque is applied to a rigid object, it always produces a.
When a net torque is given to a rigid object, it always causes an angular velocity change.
What exactly is meant by torque?Torque is defined as a force that causes an object to revolve around an axis. In linear kinematics, force causes an item to accelerate; in rotational kinematics, torque causes an object to accelerate. Torque is a vector quantity.
Based on the vector values involved, we must predict what will happen when a net torque is applied to a rigid object.
As a result, when a net torque is applied to the rigid item, the rate of rotation changes.
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the work required to carry a particle with a charge of 6.0 c from a 5.0-v equipotential surface to a 6.0-v equipotential surface and back again to the 5.0-v surface is:
The work required to carry a particle with a charge of 6.0 c from a 5.0-v equipotential surface to a 6.0-v equipotential surface and back again to the 5.0-v surface is zero.
What are the properties of equipotential surface?
The electric field present around the surface is perpendicular to an equipotential surface.
Two equipotential surface can never met or intersect.
The direction is always from high potential to low potential.
If there is an isolated point charge, then the equipotential surface is a sphere.
Equipotential points are those points in an electric field that has same electric potential. If these points are connected by any line or curve, it is said to be equipotential line and the surface on which it lies is the equipotential surface.
The work done between two points in an equipotential surface is always zero. It is calculated in the following manner:
If any charge moves from point Va to Vb in an equipotential surface, then work done in moving charge
W= q0 (Va- Vb)
As (Va- Vb) = 0 so the total work is equal to zero.
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