The missing value is D. 98
The table provides information about the speed (m/s), frequency (Hz), and wavelength (m) of a sound wave generated by a musical note, in different mediums (air, glass, and brass). The frequency of the sound wave is constant across the three mediums, but the speed and wavelength will vary depending on the medium. Since we know the frequency and wavelength, we can use the formula:
Speed = Frequency x Wavelength
to find the missing value of the speed of the sound wave in brass.
4,700 = 55 x Wavelength
Wavelength = 4,700/55 = 85.818...
So the missing value is 98 (approximately) in the table.
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If a non-rotating object has no acceleration, then we can say for certain that it is A) in mechanical equilibrium. B) moving at constant non-zero velocity. C) at rest. D) all of the above E)none of the above
(A) in mechanical equilibrium is correct option, as there is no net force acting on it. A non-rotating object that has no acceleration can be said to be in mechanical equilibrium.
What is the definition of mechanical equilibrium?Mechanical Balance When all forces acting on an object of interest are equal to zero, mechanical equilibrium has occurred. The balance of all the forces must exist for this to occur.
What distinguishes mechanical equilibrium from static equilibrium?A reversible reaction is in a stable state called dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction. The reaction has come to an end when there is static equilibrium, sometimes referred to as mechanical equilibrium. Or to put it another way, the system is idle.
Can mechanical equilibrium exist for an object in motion?When an object's acceleration is equal to zero, it is said to be in mechanical equilibrium. The object is either at rest with no change in position over time or it is traveling at a constant pace in this state. The net force acting on the object is equal to zero since the acceleration is zero.
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A girl travels along the circumference of a circle of radius 14 m. What is her total distance travelled and displacement when she has described half a circle, three fourth of a circle and full circle.
Answer:
87.976meters, 43.988 meters, 65.982 meters
Explanation:
Given data
Radius= 14m
Let us find the circumference of the circle
This is equivalent to the total distance covered
C= 2πr
C= 2*3.142*14
C= 87.976 meters
Hence the total distance is
87.976meters
The displacement when she has covered 1/2 the circle is
=87.976/2
=43.988 meters
The displacement when she has covered 3/4 the circle is
=87.976* 3/4
=65.982 meters
the force exerted on the rope by the ceiling is in the _____ direction.
The force exerted on the rope by the ceiling is in the vertical direction. This means that the force is pushing straight down on the rope and is perpendicular to the plane of the ceiling.
The force exerted on the rope by the ceiling is the result of the gravity of the rope itself and the weight of any objects or materials that are attached to the rope.
In order for the force to remain in the vertical direction, the rope must be secured at the top of the ceiling and not allowed to move in any other direction. If the rope were to move in any other direction, the force exerted on the rope by the ceiling would no longer be in the vertical direction and the rope would no longer remain secure.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load
arm of 6 meters? († point)
O 50 J
O 100 J
O 600 J
0 72 J
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is 50 J.
option A is the correct answer.
What is the work done by the lever?
A lever is a simple machine that makes work easier and faster. When a lever is used, a small effort will be used to overcome a large load.
The efficiency of a machine increases when the output force is greater than the input force.
Mathematically, the formula for the efficiency of a machine is given as;
Eff = ( output force / input force ) x 100 %
The output force is given by the following formula;
F ( out ) = load x distance moved by load
The input force is given by the following formula;
F ( input ) = effort x distance moved by effort
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;
work = ( 600 x 6 ) / ( 12 x 6 )
work = 50 J
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Answer:
600 J
Explanation:
The work is not equal to the initial work divided by the effort arm.
A 31.7 kg kid initially at rest slides down a frictionless water slide at 53.2 degrees, how fast is she moving in 3.45 s later?
Answer:
34.55 m/s
Explanation:
Imagine you are an astronomer who recently discovered a new planet orbiting a distant star. Which set of characteristics would you use to classify this planet as an inner or terrestrial planet
The characteristics which I would suggest are the planet should be dense, solid and located near star.
All the eight planets of the solar system move around the sun in fixed paths. These paths are elongated. They are called orbits. Mercury is nearest to the sun. It takes only about 88 days to complete one round along its orbit.
Venus is considered as ‘Earth’s-twin’ because its size and shape are very much similar to that of the earth.
Till recently (August 2006), Pluto was also considered a planet. However, in a meeting of the International Astronomical Union, a decision was taken that Pluto like other celestial objects (Ceres, 2003 UB313) discovered in recent past may be called ‘dwarf planets.
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An athlete runs 140 m across a level field at an angle of 45.0° north of east. What is the north component of this displacement?
Displacement is a vector quantity thus, having different directional component. The component of the given displacement to the north is 98.99 m.
What is displacement ?The displacement is the measure of how long and in which direction an object is moved from the starting position. Displacement is a vector quantity thus, characterized by a magnitude and direction.
In physics, displacement is the product of velocity and time. The vertical component of the displacement = d sin θ
horizontal component = d cos θ.
The component to the north for a displacement of 140m with the angle of 45° is = 140 × sin 45 = 98.99 m.
Therefore, the north component of the displacement is about 99 m.
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Select the correct answer. what are you calculating when you measure the disorder of a system?
a. enthalpy
b. efficiency
c. entropy
d. energy
e. equilibrium
Therefore, entropy is the measure of the disorder of a system.
What is the measure of disorder in entropy?More specifically, the second law of thermodynamics asserts that "any isolated or closed system will always have an increasing (or at least constant) net entropy as time progresses." Entropy, which measures disorder, has an impact on every element of our daily life. The term "entropy" used in thermodynamics also refers to statistical entropy. It is a measurement of a substance's disorder at the molecular level that is aggregated and assessed at the macroscopic level. The kinetic energy of the substance is also measured by the entropy. The total amount of heat is measured by enthalpy. - Entropy is a metric used to express the degree of chaos. Both have to do with the rules of thermodynamics.To learn more about entropy refer to:
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The heat of fusion of a substance is 42. 5 J/g. How much energy is released when 40 g of this substance at its freezing point completely changes into a solid? Show your work.
A. ) 1. 700
B. ) 1. 06
C. ) 42. 5
D. ) 0 J
The heat energy of the substance option (A) -1700J is correct.
We are given that,
Heat of fusion of a substance = ΔHf = 42.5J/g
Mass of the substance = m= 40g
The latent heat of fusion is the quantity of heat required to transform one gramme of a substance from a solid to a liquid. But in this case, it's important to figure out how much heat is released as liquid copper solidifies. So, ΔHf = -42.5 J/g
Thus , we have to calculated here the heat energy of the substance by the formula,
q = m·ΔHf
Where, q is heat energy ,m is mass ΔHf is the heat of fusion of a substance,
q = m·ΔHf
q = -42.5 J/g× 40g
q = -1700J
Therefore , the heat energy of the substance would be option (A) -1700J
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Why is copper wire a better conductor of electricity than carbon fiber? (1 point)
A) Carbon (C) does not have any valence electrons.
B) Copper (Cu) is a metal, and only metals can conduct electricity.
C) The electrons in copper (Cu) are loosely bound to the nucleus.
D) Copper (Cu) has no loose electrons.
The copper wire a better conductor of electricity than carbon fiber because copper (Cu) is a metal, and only metals can conduct electricity option - B is correct answer.
Why does copper behave better as an electrical conductor?A metal has greater electrical conductivity the lower its resistivity level. And copper wire is an excellent electrical conductor because it has a low level of resistivity. Incredibly flexible is another quality of copper.
Carbon fiber still does not conduct electricity as well as metal, even after being treated with other materials. Though still about 100 times faster than carbon fiber treated with good electricity conductors, metals like silver, aluminum, and copper are particularly good at conducting electricity.
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Answer:
1. The electrons in copper (Cu) are loosely bound to the nucleus. (C.)
2. An electrical current that flows in one direction (D.)
3. aluminum (Al) (D.)
4. Opposite charges attract one another. (D.)
5. Atoms with a nearly empty valence shell make good conductors. (C.)
Explanation:
I did the Connections Academy test (Conductors and Insulators Quick Check)
A person pushes a book against a wall so that the book does not move. a. Draw a free-body diagram for the book. Label the forces as you did in the tutorial Forces. b. For each force that appears on your free-body diagram, identify the corresponding force that completes the Newton's third law (or action-reaction) force pair.
find the numerical value of the density of a nucleus of atomic number A
Answer:
(A)²
Explanation:
Atomic mass = density*volume of atom.
So, density of nucleus is in depend of mass number
d=
3
4
πr
3
Massno.
=
3
4
π×[1.3×10
−13
×A
1/3
]
3
A
=constant∗A
0
as R=R
0
A
1/3
(R
0
=1.1×10
−15
m)
The numerical value of the density of a nucleus of atomic number A is determined as 2.29 x 10¹⁷ kg/m³.
Density of the nucleus
The density of the nucleus of atomic number A is calculated as follows;
ρ = m/V
where;
m is mass of the atom = 1.66 x 10⁻²⁷ kgr is radius of the atom = 1.2 x 10⁻¹⁵ m[tex]\rho = \frac{m}{V} \\\\\rho = \frac{m}{\frac{4}{3} \pi r^3} \\\\\rho = \frac{1.66 \times 10^{-27}}{\frac{4}{3} \pi (1.2 \times 10^{-15})^3} \\\\\rho = 2.29 \times 10^{17} \ kg/m^3[/tex]
Thus, the numerical value of the density of a nucleus of atomic number A is determined as 2.29 x 10¹⁷ kg/m³.
The complete question is below:
find the numerical value of the density of a nucleus of atomic number A with a radius of 1.2 x 10⁻¹⁵ m and mass of 1.66 x 10⁻²⁷ kg.
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If we decided to make the length of one day equal to the time that it took the earth to complete a single revolution about its axis, what would change?
Our days would be a little bit shorter, and as a result, the sun would rise and set each day at later and later hours.
How long does it take the Earth to make a full rotation?Another method to determine how long a day is is to time how long it takes a planet to complete one full spin. A sidereal day is what is being described here. On Earth, a sidereal day is almost exactly 23 hours and 56 minutes long. The sidereal day occurs after every 360-degree rotation of the Earth. It takes 23 hours, 56 minutes to do that. When Earth rotates slightly more and the sun is at the same location in the sky as it was 24 hours earlier, the solar day—the one that people count in the calendar—occurs.
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Helpp pls
A small balloon with a 1.36E-9 C charge is placed a distance of 0.4100 m from a 1.99E-7 C charge. Determine the electric field intensity at the location of the balloon. Round to the appropriate number of sig figs, and do not put your answer in scientific notation.
Answer:
The intensity of the electric field is
[tex]|E|=10654.37 \:N/C[/tex]
Explanation:
The electric field equation is given by:
[tex]|E|=k\frac{q}{d^{2}}[/tex]
Where:
k is the Coulomb constant q is the charge at 0.4100 m from the balloond is the distance from the charge to the balloonAs we need to find the electric field at the location of the balloon, we just need the charge equal to 1.99*10⁻⁷ C.
Then, let's use the equation written above.
[tex]|E|=(9*10^{9})\frac{1.99*10^{-7}}{0.41^{2}}[/tex]
[tex]|E|=10654.37 \:N/C[/tex]
I hope it helps you!
Answer:
10650
Explanation:
just round that answer to four significant figures and you get that answer
Why does acceleration increase down a ramp?
Acceleration increase down a ramp, due to an object is free to move under the influence of gravity. That's why acceleration increases.
Acceleration is a measure of how quickly an object's velocity changes. On a ramp, an object is free to move under the influence of gravity. The gravitational force acting on an object is always directed downward, and the force of friction acting on an object is directed upward. The force acting on an object moving down a ramp is the force of gravity minus the force of friction. Since the force of gravity is greater than the force of friction, the net force acting on the object is directed downward, which causes the object to accelerate downward. The angle of the ramp affects the force of friction, as the greater the angle of the ramp, the greater the force of friction, and the less the net force acting on the object and less acceleration. Therefore, acceleration increases down a ramp because the net force acting on an object is directed downward and the angle of the ramp affects the force of friction.
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what is rotation in your own words. and you have to be detailed
Answer:
The action of rotating around something like for ex.. Child A stands in the middle of a room while Child B goes around Child A, Child B is rotating around Child A. Another ex. is; The earth rotates around the sun every 365 days the earth is rotating or going around the sun in a circle. So rotating to me is the act of rotating around something in any way shape or form.
PS: A middle schooler answered this so if you don't wanna believe me or think I'm wrong because I am younger you do you.
what is an example of an event that can compromise an ecosystem?
A. Rivers flooding the Amazon basin in south America
B. Ocean currents cooling the gulf stream
C. Solar storms hitting earths magnetosphere
D. Global warming melting summer ice floes in the arctic
The one option that specifically connects to an environment is option D: Global warming melting summer ice floes in the Arctic. All of the other alternatives have the potential to harm ecosystems.
The Arctic ecology may be significantly impacted by the melting of summer ice floes as a result of global warming. Many species, including polar bears, seals, walruses, and other bird species, are dependent on the ice for their existence in the Arctic environment since it has been specially adapted to the presence of sea ice.
The habitats and food sources of these animals are disrupted as the ice floes melt. It may result in fewer hunting areas being accessible, change marine animals' reproductive cycles, and have an effect on the entire food chain in the Arctic ecosystem.
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Answer:
D. Global warming melting summer ice floes in the arctic
Explanation:
In the above situation, what is the net torque on wire 2 due to wire 1?
a. Up b. Down
c. Into the screen d. Out of the screen e. Zero
In the above situation the net torque on wire 2 due to wire 1 is Zero.
Which way is the force acting on the wire?Fleming's left-hand rule identifies the force's direction on a current-carrying wire when it is placed in a magnetic field. It always runs counter to how the magnetic field and electric current are moving.
Directional torque: what is it?Torque is a vector quantity by definition. The direction is determined as part of the torque computation. The direction is parallel to both the force and the radius from the axis. It is customary to choose it along the rotational axis in the right-hand rule direction.
When rotating clockwise, is torque negative?a force that is applied that results in a positive counterclockwise torque A negative torque rotates an object in a clockwise direction.
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For the circuit shown in the figure, what is the current through resistor R1? A) 0.071 A
B) 0.13 A
C) 0.029 A
D) 0.016 A
For the circuit shown in the figure, 0.071 A is the current through resistor R1.
What is circuit ?
Circuit is an electrical network consisting of interconnected components that allow electricity to flow through it. It is used to control, regulate, and direct the flow of electricity in order to perform a specific task. A circuit is composed of wires, resistors, transistors, capacitors, and other components which are connected together in order to form a complete system. This system can be used to control a variety of electrical devices, such as lights, motors, and computers. Circuits can be used to create a wide range of applications, from simple household appliances to complex industrial machines.
The current through R1 can be calculated using Ohm's Law:
I = V/R = (9V)/(120Ω) = 0.075 A
Therefore, the answer is A) 0.071 A.
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An electron is located 1 meter from a +2 Coulomb charge, as shown below. The electrostatic force acting on the electron is directed toward which point?
Answer: point D
Explanation:
You throw a ball vertically upward so that it leaves the ground with velocity 5. 68 m/s.
(a) What is its velocity when it reaches its maximum altitude? magnitude 0 Correct: Your answer is correct. M/s direction Incorrect: Your answer is incorrect.
(b) What is its acceleration at this point? magnitude -9. 8 Incorrect: Your answer is incorrect. The response you submitted has the wrong sign. M/s2 direction Incorrect: Your answer is incorrect.
(c) What is the velocity with which it returns to ground level? magnitude -5. 68 Incorrect: Your answer is incorrect. The response you submitted has the wrong sign. M/s direction Correct: Your answer is correct.
(d) What is its acceleration at this point? magnitude 9. 8 Correct: Your answer is correct. M/s2 direction Correct: Your answer is correct
The length of time needed to descend back to the earth's surface. Gravitational acceleration is equal to -9.8 m/s2. 2 s^2 s2
Explanation for the above answer:When anything is sent vertically upward, it slows down due to gravity. Up until it reaches a maximum height, where the velocity is zero, its speed is decreasing. After that, gravity accelerates it uniformly downward.
The three equations are as follows: v = u + at, v2 = u + 2as, and s = ut + 12at2.
What is the vertical velocity formula?With this knowledge, the vertical velocity formula, vf=vi+gt v f = v I + g t, can be used to calculate the object's terminal velocity. This equation is used by physicists to predict how any object will move on a vertical plane.
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what is the reading of the energy meter in figure 1 when an appropriate laser is used in pac to dissociate a particular chemical bond?
Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.
Compounds 1 and 2 are both used to create liposomes, and their kinetics are controlled. Compound 1 are controlled kinetically, whereas those made from Compound 2 are controlled thermodynamically. UV lasers like nitrogen lasers (337 nm) and frequency-tripled and quadrupled Nd:YAG lasers are frequently used in MALDI methods (355 nm and 266 nm respectively). An artificial substrate for lactase is hydrolyzed to extract lactase from dietary supplement tablets, which is then measured using a colorimetric assay (ortho-nitrophenol-beta-D-galactopyranoside, ONPG). Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.
The complete question is- What is the reading of the energy meter in Figure 1 when an appropriate laser is used in PAC to dissociate a particular chemical bond?
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Using the principle of conservation of energy and the final height the golf ball reaches after bouncing, determine the theoretical speed with which the ball must have left the floor (i.e on its way back up).
Mass: 0.0453kg
Initial height: 1m
Initial potential energy: 0.444J
Final height: 0.61m
Final potential energy: 0.271J
Efficiency: 61.0%
Answer:
2.58 m/s
Explanation:
To determine the theoretical speed at which the golf ball must have left the floor, you can use the principle of conservation of energy, which states that the total energy in a closed system remains constant. In this case, we can use the fact that the ball's potential energy changes as it rises and falls.
First, we know that the efficiency of the ball is 61.0%, so we can assume that 39% of the energy is lost as heat, sound, etc. We can calculate the initial kinetic energy (Ei) of the ball as:
Ei = Efficiency * (Initial Potential energy - Final Potential energy)
Ei = 0.61 * (0.444 - 0.271) = 0.119J
Now, we can use this value to calculate the velocity (Vi) of the ball as it left the floor, by using the equation of kinetic energy:
Ei = 0.5 * m * Vi^2
Where:
m = mass of the ball = 0.0453 kg
Vi = velocity of the ball when it left the floor
By substituting the values in the equation we get:
0.119 = 0.5 * 0.0453 * Vi^2
Solving for Vi:
Vi = sqrt(0.119 / (0.5 * 0.0453))
Vi ≈ 2.58 m/s
So, the theoretical speed with which the ball must have left the floor is approximately 2.58 m/s
Keep in mind that this is a theoretical speed and there may be a variance with real-world observations.
Suppose that the railcar passes by a horn that is emitting a sound with frequency f. Which of the following describes the frequency f PS-10-1-prime.gif that the person on the railcar hears?
A. f PS-10-1-prime.gif > f before passing the horn, f PS-10-1-prime.gif < f after passing it
B. f PS-10-1-prime.gif < f before passing the horn, f PS-10-1-prime.gif > f after passing it
C. f PS-10-1-prime.gif = f before passing the horn, f PS-10-1-prime.gif = f after passing it
D. f PS-10-1-prime.gif > f before passing the horn, f PS-10-1-prime.gif > f after passing it
F PS-10-1-prime.gif > f before passing the horn, f PS-10-1-prime.gif < f after passing it describes the frequency f PS-10-1-prime.
Hence, Option A is correct.
The Doppler effect causes the frequency heard by the railcar passenger prior to passing the horn to be higher than the real frequency of the sound released, whilst the frequency heard after passing the horn is lower than the actual frequency. This is why the answer to this question is A. A railcar is a self-propelled passenger-carrying railroad vehicle. A train with a single coach and a driver's cab at one or both ends is typically referred to as a "railcar." Such vehicles are referred to as "railmotors" by several railway companies, including the Great Western.To know more about railcars here
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While vacationing in the mountains you do some hiking. In the morning, your displacement is S⃗ morning= (2100 m , east) + (3000 m north) + (200 m , vertical). Continuing on your hike after lunch, your displacement is S⃗ afternoon= (1400 m , west) + (2900 m , north) - (400 m , vertical). What is the magnitude of your net displacement for the day?
The magnitude of the net displacement for the day depends on the total distance traveled and the direction in which traveled.
What do you mean by Magnitude?
Magnitude is a measure of the size or intensity of a physical quantity. It is typically expressed in terms of a numerical value and a unit. Examples of physical quantities with magnitude include speed, acceleration, force, energy, pressure, and power. Magnitude is a measure of the size or intensity of a physical quantity, and is typically expressed in terms of a numerical value and a unit.
Step 1: Find the resultant displacement vector by adding the vectors.
S total = S morning + S afternoon
= (2100 m , east) + (3000 m north) + (200 m , vertical) + (1400 m , west) + (2900 m , north) - (400 m , vertical)
Step 2: Simplify the vector.
S total = (700 m , east) + (5900 m , north) - (200 m , vertical)
Step 3: Calculate the magnitude of the resultant vector.
|S total | = √(700 m)^2 + (5900 m)^2 + (-200 m)^2
|S total | = √(490000 m^2 + 348400 m^2 + 40000 m^2)
|S total | = √(882400 m^2)
|S total | = 939.4 m
Hence, the magnitude of the net displacement is 939.4 m.
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A helicopter blade spins at exactly 120 revolutions per minute. Its tip is 3.00 m from the center of rotation. (a) Calculate the average speed (in m/s) of the blade tip in the helicopter's frame of reference. m/s (b) What is its average velocity (in m/s) over one revolution
94.32m/s is the average speed (in m/s) of the blade tip in the helicopter's frame of reference.
What is the typical blade tip speed, measured in metres per second, when viewed from a helicopter perspective?We discover that the sub average is 73.3 metres per second after entering this formula into our calculator and finding it to three significant numbers. The helicopter blade tip travels at an average speed of that.
How quickly does the blade tip typically move?After one revolution, the blade point has moved nothing since it goes back to its original position. The average velocity is consequently zero.
FPM = RPM x . 262 x Blade Diameter (inches).
FPM = 120 x . 262 x 3.00 = 94.32m/s
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a child swings on a playground swing with a 2.5 m long chain. what is the period of the child's motion. what is the frequency of the vibration
The period of the child's motion is 3.171 seconds. The frequency of the vibration is 0.315 Hz.
The time period is 3.171 seconds.
2 × [tex]\pi[/tex] [tex]\frac{L}{g} ^{\frac{1}{2} }[/tex]
= 3.171 seconds
The frequency is the reciprocal of the time period.
f = 1 ÷ 3.171
= 0.315Hz
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The Law of Conservation of Energy states: Energy cannot be created or destroyed; it can be transformed fr
one form to another but the total amount of energy never changes. Car crashes can involve huge amounts
of energy. How does the crashworthiness of the car affect the transfer and transformations of energy and
ultimately, protect the occupants?
The kinetic energy does the work that crushes the car’s crumple zones.
Conversion of collision energy Because the metal plastic deformation after the impact greatly increases the internal energy of the automobile, the majority of the kinetic energy in the collision process is turned into internal energy. Other types of kinetic energy are turned into heat energy, sound energy, and so on.
A serious vehicle accident can result in PTSD, acute anxiety, sadness, and crippling phobias. According to studies, crash-related mental traumas might have symptoms that continue up to a year following a car accident, especially in youngsters. Objects with potential energy, or stored energy, collide, and the energy transfers to kinetic energy, or the energy of an object in motion. This energy transfer from one to anotheanother
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A 1.65-kg mass stretches a vertical spring 0.215 m. If the spring is stretched an additional 0.130 m and released, how long does it take to reach the (new) equilibrium position again
The time it takes for the mass to reach the new equilibrium position is approximately 0.15 seconds.
To calculate the time it takes for the mass to reach the new equilibrium position, you will need to know the spring constant of the spring. The spring constant, denoted by the letter k, is a measure of the spring's stiffness, and it is related to the force required to stretch the spring by a certain distance. If the spring constant is not given, it can not be calculated.
Once you have the spring constant, you can use the equation:
T = 2π √(m/k) where,
T is the period of oscillation (the time it takes for the mass to complete one full cycle of motion) m is the mass of the object attached to the spring k is the spring constant.The spring constant (k) can be found by using the equation:
F = kx where,
F is the force applied to the spring x is the distance the spring is stretched from its equilibrium position, and k is the spring constant.In this case, the force is equal to the weight of the mass, which is m*g, where m is the mass and g is the acceleration due to gravity.
mg = kx
or, k = (m*g)/x
or, k = (1.65 kg * 9.8 m/s^2) / 0.215 m = 74.65 kg/s^2
Now that we know the spring constant, we can use the equation:
T = 2π √(m/k)
To find the time it takes for the mass to reach the new equilibrium position, where T is the period of oscillation, m is the mass of the object attached to the spring, and k is the spring constant.
T = 2π √(1.65 kg / 74.65 kg/s^2) = 0.15 sec
So the time it takes for the mass to reach the new equilibrium position is approximately 0.15 seconds.
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two objects gravitationally attract with a force of 36 N if the distance between the two objects centers is decreased by a factor of threee then the new force of attraction is
The new force of attraction is 324N if the distance between the centres of the two objects is reduced by a factor of 3e.
The equation for the force of gravitational attraction between two objects is: F = G*(m1*m2)/r^2 Where F is the force of attraction, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers. If the distance between the two objects' centers is decreased by a factor of three, the new force of attraction will be: F' = G*(m1*m2)/(r/3)^2The ratio of the new force of attraction to the original force of attraction is:
F'/F = (r/3)^2 If we substitute in the original force of attraction, we have:
F'/36 = (r/3)^2 = F' = 36 * (r/3)^2
As we decrease the distance by a factor of 3, the new force of attraction will increase by a factor of 9.
F' = 36*9 = 324 N
Therefore, the new force of attraction is 324 N.
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