Answer:
Devices like smartphones can interface with cars and leave evidence
Explanation:
Vehicle system forensic relates to digital data stored in a vehicles system.
Bluetooth connection times can be used to figure out at what time the owner was near his car. e.g. between a smart-watch and car infotainment system
in a series lrc circuit, the frequency at which the circuit is at resonance is f subscript 0 . if you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?
The resonant frequency of the circuit is [tex]fo/2[/tex]
as given in the question,
in a series L-R-C circuit
the frequency of the circuit is at resonance
so it is f subscript o
the resistance of the circuit is doubled
where the inductance and capacitance and the voltage amplitude is of the AC source.
the inductance of the circuit (L) is 2L
the capacitance of the circuit (C) is 2C
Resonant frequency is the oscillation of the circuit in its natural state.
[tex]f=\frac{1}{2\pi \sqrt{LC} }[/tex]
where
L is the inductance of the circuit
C is the capacitance of the circuit
[tex]fo[/tex] is the resonant frequency
therefore
by the angular frequency formula
w=[tex]2\pi f[/tex]
=> [tex]f = \frac{w}{2\pi }[/tex]
now
[tex]f=\frac{1}{2\pi \sqrt{LC} }[/tex]
by placing the new values of L and C
[tex]f=\frac{1}{2\pi \sqrt{(LC)} }[/tex]
=> f = [tex]\frac{1}{2\pi \sqrt{(2L2C)} }[/tex]
=> f = [tex]\frac{1}{2\pi \sqrt{(LC)} } \frac{1}{2}[/tex]
=>f = [tex]\frac{1}{2} \times (fo)[/tex]
=> f= [tex]fo/2[/tex]
therefore by this we can say that
the resonant frequency is [tex]\frac{fo}{2}[/tex]
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Scientists claim that quantum theory proves consciousness moves to another universe at death
a. Trueb. False
The Quantum theory doesn't prove that consciousness moves to another universe at death. So, the statement is b) false.
The quantum theory of consciousness argued that the brain's nervous system forms a complex network of consciousness that it produces and should follow the rules of quantum mechanics, the theory that governs how tiny particles like electrons move. They argue that this can explain the mysterious complexity of human consciousness. The idea that quantum effects are necessary for consciousness to function is still in the realm of philosophy. Penrose suggests that it is necessary, but other theories of consciousness do not. argued that it should obey the rules of quantum mechanics and quantum theory.
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What might happen if hydrogen ions can easily diffuse through the inner membrane without the aid of carrier proteins?
Hydrogen ions not only move across membranes, but also diffuse through channels in specialized enzymes called ATP synthases.
ATP synthase is a protein that catalyzes the formation of the energy storage molecule adenosine triphosphate (ATP) using adenosine diphosphate (ADP) and inorganic phosphate (Pi).
Hydrogen ions are transported across the thylakoid membrane.Energy is absorbed from sunlight. NADPH is formed when electrons are added to NADP+. Hydrogen ions diffuse through protein channels.Small nonpolar molecules can readily diffuse through cell membranes. However, due to the hydrophobicity of the lipids that make up cell membranes, polar molecules (like water) and ions cannot. Instead, they diffuse across membranes via transport proteins. Transfer of hydrogen ions by ATP synthase coupled with phosphorylation of ADP to form
ATP.
Therefore, if hydrogen ions can diffuse through the inner membrane without the aid of a carrier protein, they will diffuse through ATP synthase.
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we give 65 joules as heat to a gas, which then expands isobarically. the gas molecules rotate but do not oscillate. by how much does the internal energy of the gas increase
ΔEint = 46.42 J is the correct answer.
According to the Kinetic Molecular Theory of Gases,
Referring to equation , we have
ΔEint=nCVΔT= 5/2nRΔT
Q=nCPΔT = 7/2nRΔT
Dividing the equations, we obtain
ΔEint/Q = 5/7
Thus, the given value Q=65 J leads to ΔEint = 46.42 J
What is Kinetic Theory?
1) Gases are made up of a lot of tiny particles spaced far away from one another.
2) The gas molecules clash elastically with the container wall as well as with one another.
3) Gas molecules have kinetic energy and are constantly moving randomly.
4) The attraction between gas molecules is extremely weak and is regarded as negligible.
5) The average kinetic energy of gas molecules is precisely proportional to the temperature of the gas.
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Describe how the gravitational pull of Earth influences the way matter behaves on Earth's surface.
Then, explain how this gravitational pull changes Earth's surface during earthquakes, landslides or mudslides, and floods.
3Points:
Your answer should include at least three complete sentences.
Be sure to check your grammar and spelling.
The gravitational pull of Earth influences the way matter behaves on Earth's surface by pulling objects towards the center of the planet.
Does your gravitational pull influence the Earth?This force is what gives objects their weight and allows them to retain their shape. It also determines the way in which objects move, such as how they fall to the ground when dropped.The gravitational pull of Earth can change the surface of the planet during earthquakes, landslides or mudslides, and floods. During an earthquake, the ground can shake and shift, causing buildings and other structures to collapse and creating cracks and fissures in the earth's surface.Landslides and mudslides are caused by heavy rain or other forms of precipitation, which can cause the ground to become unstable and give way, resulting in large masses of earth and debris moving down slopes and hillsides. Floods can also change the surface of the earth by moving large amounts of water across the land, which can erode the ground and alter the shape of the landscape.To learn more about gravitational force refer :
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how did our solar system begin to form? a large cloud of dust and gas began to contract under the force of gravity. a large cloud of dust and gas began to contract under the force of magnetism. a large cloud of dust and gas began to expand under the force of gravity. a large cloud of dust and gas began to expand under the force of magnetism.
The cause of our solar system beginning to form is A: "a large cloud of dust and gas began to contract under the force of gravity."
Our solar system evolved from a dense cloud of interstellar gas and dust some 4.6 billion years ago. The cloud collapsed, probably as a result of the shockwave from a nearby exploding star known as a supernova. When this dust cloud collapsed, it created a solar nebula, which is a spinning, swirling disc of material.
It means that the formation of our solar system began around 4.6 billion years ago with the gravitational collapse of a small part of a larger molecular cloud.
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which of the following graphs best represents the gravitational force between two point masses as a function of the distance between the masses?
Graph 3 represents the correct graph between the gravitational force and two point masses.
Let the gravitation force is taken as F and the distance between two point masses is taken as r.
We know the relation between the force, two point masses and distance between masses as,
F = (G m₁ m₂)/r²
where, G is the gravitational constant
m₁ and m₂ two point masses
r is the distance between them
From the above relation, it is clear that, F is inversely proportional to r².
So, when F increases, r² decreases.
The downward hyperbolic graph represented in graph 3 correctly represents the relation between gravitational force and two point masses.
The question is incomplete. the complete question contains various graphs between gravitational force and distance between masses. They are attached in the attachment below.
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a modern state-of-the-art biomass power plant with heat recovery feature has the capacity to combust up to 1.4 x 106 kg/day of pellets to generate energy. the pellets have an average lhv of 18.1 mj/kg and hhv of 19.1 mj/kg. with a capacity factor of 57% and conversion efficiency of 38%, how much energy does this plant generate on an annual basis?
Energy in terms of Joules = 1956.50 GJ is the answer.
Energy generation by the Power plant (on annual basis) is given as: -
A. When heat recovery feature is Present
E = (M * HHV * C * ηc * 365) / 3600 watt – hr ------------- equation (i)
B. When heat recovery feature is not present
E = (M * LHV * C * ηc * 365) / 3600 watt – hr ------------- equation (ii)
Here,
M = Mass of Pellets consumed per day (Kg/day)
HHV = Higher Heating Value of Biomass (J/Kg)
LHV = Lower Heating Value of Biomass (J/Kg)
C = Capacity factor {Plant running this % time in a day}
ηc = Conversion efficiency
Joule to watt – hr conversion factor
1 Joule = 1 /3600 watt – hr
Given:
M = 1.3 * 106 Kg/day;
HHV = 19.9 * 106 J/Kg;
LHV = 17.4 * 106 J/Kg
C = 56% = 0.56
ηc = 37% = 0.37
Heating Recovery feature ---> Present
As heating recovery feature is present so eq. 1 will be used
Now, putting corresponding given values in Eq. 1 to get the value of E.
E = (M * HHV * C * ηc * 365) / 3600
E = (1.3 * 106 * 19.9 * 106 * 0.56 * 0.37 * 365) / 3600
E = (1956.496 * 1012) / 3600
E = 543.47 Gwh
Energy in terms of Joules = 543.47 * 3600
Energy in terms of Joules = 1956.50 GJ
Energy Generation (E) by the power plant (on annual basis) = 543.47 Gwh (Giga Watt – hour)
Energy Generation (E) by the power plant (on annual basis) = 1956.50 GJ (Giga Joule)
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The international space station orbits the earth at about 27,578 kilometers every hour. What is this an example of
The international space station orbits the earth at about 27,578 kilometers every hour this an example of Speed.
What is Speed?Speed can be described as the rate of change of position of an object in any direction however the Speed can be described as the measured as the ratio of distance to the time in which the distance was covered.
It should be noted that Speed is a scalar quantity as it has only direction and no magnitude which makes it to be different from velocity.
Therefore, option A is correct.
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missing options:
Speed. Velocity. Acceleration.
the methanogens producers of methane gas, require environments that A. have sunlight. B. are very acidic C. have abundant oxygen and Co2 D. are extremely cold E. are anaerobie with hydrogen gas and C02
The methanogens producers of methane gas, require environments that
are anaerobic with hydrogen gas and C02. Option E
What are methanogens?Methanogens are defined as microorganisms that produces methane as their by-product in oxygen-limited environments during metabolic processes.
Methanogens are produce methane following two pathways;
The reduction in carbon dioxide with hydrogen The conversion of acetic acid to methane and carbon dioxideSome properties of methanogens include;
They are strict anaerobesThey are archaea, belonging to the phylum EuryarchaeotaThey produce methane in large quantityHence, methanogens are anaerobic.
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How did the sonar impact ww1?
Submarines were located during World War I by listening for their engines or propellers. The sonar operator wore a straightforward two-earphone (air tube) equipment, and by mechanically turning the receiver, could detect the direction from whence the sound originated.
When did sonar enter World War 1?
To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.
Who made sonar in World War One?
In order to find icebergs, Lewis Nixon created the first Sonar-style listening apparatus in 1906. The requirement to be able to detect submarines during World War I led to an upsurge in interest in sonar.
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1.The discontinuity effect is caused primarily by _________.Group of answer choicesnormative social influence and informational social influencefear and greedcoordination loss and reduced effortreduced evaluation apprehension and attitude polarizationdeindividuation and reduced evaluation apprehension2.Research has found that if you put people into two different groups, even if the basis is completely arbitrary (such as a coin flip), people will give preference (such as more money) to their own group over the other group. This is called ________ and it is one component of ________.Group of answer choicesthe illusory correlation; realistic group conflict theory.the minimal group paradigm; social identity theory.outgroup polarization; realistic group conflict theory.the illusory correlation; social identity theory.outgroup polarization; ethnocentrism3.
Fear and greed have a major role in the discontinuity effect. Realistic group conflict theory includes a concept known as outgroup polarization. Realistic group conflict theory is one of the options from the set of replies.
A characteristic of transverse waves called polarization (sometimes called polarisation) identifies the geometrical orientation of the oscillations is called polarization. The oscillation in a transverse wave occurs in a direction that is opposite to the wave's velocity. Vibrations occurring along a taut string, such as the string of a guitar, provide a straightforward illustration of a polarised transverse wave. Vibrations may be at a vertical, horizontal, or any other angle perpendicular to the string, depending on how the string is plucked. In contrast, polarization does not exist in longitudinal waves, such as sound waves in a liquid or gas, because the displacement of the oscillating particles always occurs in the direction of the wave's propagation.
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Which of the following planets or moons has an atmosphere consisting mainly of hydrogen and helium with some methane?
A) Venus B) Saturn C) Titan D) Uranus
Answer:
It is D) Uranus
a 0.50 t magnetic field is normal to the plane of a circular loop with a radius of 0.25 m. what is the magnetic flux through the loop?
The magnetic flux through the loop is 0.098 Wb.
Magnetic flux (often symbolized Φ), is the measure or amount of magnetic field B passing through a certain cross-sectional area, for example, a coil of wire (this is also often called "magnetic field density"). The unit for magnetic flux in International Units is the weber (Wb) (Weber is a derived unit from the volt-second).
Magnetic Flux Formula:
∅ = B A cos α
Where:
∅ = magnetic flux (Wb)
B = magnetic field (T)
A = cross-sectional area (m)
α = angle between B and the normal plane
On the given question:
B = 0.50 T
r = 0.25 m
α = 0° ⇒ because it is in a flat plane
A = πr²
Then substitute:
∅ = B A cos α
∅ = 0.50 x π (0.25)² x cos0°
∅ = 0.50 x 3.14 (0.0625) x 1
∅ = 0.098 Wb
So that the magnetic flux bear is 0.098 Wb
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The illustration below shows the forces on an automobile as it moves. If the drag force is equal to the applied force, which of the following describes the motion of the automobile?
The car's magnitude of velocity will decrease if the applied force is balanced out by the drag force.
What are the motion of an object's speed and direction?An object's velocity, as opposed to its speed, describes how quickly it goes in both directions. Velocity in physics is the rate of movement in a specific direction.
Why is force equivalent to Ma?The force acting on an object is equal to its mass times its acceleration, or Newton's second law, which is sometimes expressed as F=ma (a). Therefore, more force is required to accelerate an object with more mass. And the acceleration of an item increases with force.
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The complete question is :
The illustration below shows the forces on an automobile as it moves. If the drag force is equal to the applied force, which of the following describes the motion of the automobile?
A. The car's magnitude of velocity will increase
B- The car's magnitude of velocity will decrease
C. The car's magnitude of acceleration will increase
D. The car's magnitude of acceleration will decrease
Which type of force is friction?
One kind of contact force is friction. It exists between surfaces that are in contact with one another.
Contact force: What is it?
Objects in interaction with each other exert a force on one another known as contact force. The point of immediate contact between two objects is where the contact force acts. This force may be brief in the form of such an impulse or it may be continual as a continuous force.
What, by way of example, is contact force?
A force which acts at the point where two objects come into touch is known as a contact force. Examples of contact stress include kicking a ball and pushing an car up a hill.
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in the earth's magnetic field experiment, you plotted a graph of frequency squared versus the current in the coils. these two quantities were related by if the linear regression provides a slope of 55.2 and a y-intercept of 0.79, what is your experimental value for the earth's magnetic field? format of answer:
Your experimental value for the earth's magnetic field Be = 1.43nT is the correct answer.
What is Earth’s magnetic field?Earth's magnetic field is a naturally occurring, complex force field that surrounds the planet. It is generated by the Earth's core, which is composed of iron and nickel, and is responsible for protecting the Earth from charged particles and other cosmic radiation. The magnetic field is constantly changing and is believed to be generated by the movement of molten metals in the Earth's outer core. This movement creates electric currents which generate the magnetic field.
Given equation by which the given quantities are related by
f2 = (µk/4π2m) I + (µk/4[tex]\pi ^{2}[/tex]m) Be
Here,
Slope = µk/4[tex]\pi ^{2}[/tex]m
µk/4π2m = 56.6
For y – intercept
(µk/4π2m) Be = 0.81
(56.6/K) Be = 0.81
Be = (0.81/56.6) K
Here,
K = [tex]10^{-7}[/tex] N/m
Thus,
Be = (0.81/56.6)[tex]10^{-7}[/tex]
Be = 1.43nT
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What does +2 mean on an ion?
+2 charge on an ion means the given ion has 2 extra electrons.
In chemistry,
We often use symbols like plus (+) and minus (-) which is usually written in the superscript of the ions.
As + is given when the given ions have extra electrons.
As we know,
Every atom/ ion needs to complete an octet in its outermost orbit for becoming stable.
So, if in any of the ion +2 is written it means that the given ions have 2 extra electrons present in their outermost orbit and once the ion release those 2 extra electrons it becomes cationic in nature.
Similarly, if -2 is written it means that the given ions have 2 deficit electrons in their outermost orbit, so for becoming cationic the ions need 2 electrons.
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What is conflict management in scrum?
The employment of tactics to settle disputes or reduce tension is known as conflict management.
In order to identify the issue, explore solutions, and develop overarching goals that call for cooperation from the disputing parties, conflict resolution approaches involve hosting meetings for the disputing parties. Knowing how to recognize problems and handle them in a reasonable, equitable, and effective manner is the practice of conflict management. It is the process of resolving (seen) conflicts or differences resulting from, for instance, different ideas, goals, and wants. Team members employ conflict management strategies to resolve any disputes that develop throughout a Scrum project. This method of handling conflicts is frequently competitive and usually ends in a Win-Lose situation. The team needs to be led by the scrum master, who must convey to them that conflict is a regular issue in the workplace and can be managed by taking an assertive stance. The team's leader is responsible for making sure that the team members' concerns are understood and addressed.
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consider an experiment where light of a single wavelength (monochromatic) is incident on a thin slit, creating a diffraction pattern. what change to the experiment will increase the size of the diffraction effect?
Dispersion of the diffracted image into the several colours that make up white lightJustification for the ideal selection
:The diffracted picture of the slit will become scattered into the individual hues of white light
when a monochromatic source is replaced by white light.
All other fringes will be the constituent colours, with white serving as the central maxima.
When light with a shorter wavelength is employed,
the width of the central brilliant fringe in the diffraction pattern shrinks
.(2) When the slit is made narrower, the width grows.
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When your powered vessel is underway Can your passengers sit with their legs hanging over the side?
No, when powered vessel is underway, the passengers can not sit with their legs hanging over the side.
Power boats are also known as motor or speed boats. As evident by their name, they are powered by the engine. The position of engine however varies in boats. It can be fit inside, outside or it can be hybrid. The latter case involved presence of parts of engine both inside and outside.
The postion of motor decides the seating position. While riding the boat, it is mandatory to follow certain rules and regulations as they benefit the passengers and not the boat company or boat renter. Safety first should always be the rule regardless of the passenger being tourist or local resident.
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an accident victim with a broken leg is being placed in traction. the patient wears a special boot with a pulley attached to the sole. the foot and boot together have a mass of 4.0 kg, and the doctor has decided to hang a m = 7.0kg mass from the rope. the boot is held suspended by the ropes and does not touch the bed. (figure 1)no title providedA) Determine the amount of tension in the rope by using Newton?s laws to analyze the hanging mass. Assume that ? = 11? ^ circ . Hint: If the pulleys are frictionless, which we will assume, the tension in the rope is constant from one end to the other.B) The net traction force needs to pull straight out on the leg. What is the proper angle ? for the upper rope?C) What is the net traction force pulling on the leg?
The amount of tension in the rope by using Newton's laws if The mass suspended on ropes is 7 kg, is 68.6 Newtons.
What is mass?A fundamental characteristic of an object, its inertia is quantified by its mass, which is a basic indicator of the volume of substance inside the thing. Because mass is such a fundamental quantity and is difficult to define in terms of another, definitions of it frequently appear circular.
It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram.
Given:
The mass of the foot and boot, M = 4 kg,
The mass suspended by ropes, m = 7 kg,
Calculate the tension on the rope as shown below,
Tension on the ropes = m × a
Tension on the ropes = 7 × 9.8
Tension on the ropes = 68.6 N
Thus, the tension on the boot and foot is 68.6 N.
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a a 10000 kg train was moving with 48m/s then starts decelerate with constant rate to stop on its stationary that is found 192m away so the train slides through this distance and stops. determine the acceleration of the train
Answer:
a = 6 m/s^2
Explanation:
Suvat equation is applied
s = 192m
v (final velocity) = 0
u (initial velocity) = 48
a = ?
So,
v^2 = u^2 + 2as
(0)^2 = (48)^2 + 2a(192)
-2304 / 384 = a
a = 6 m/s^2
(negative sign is ignored as it asked as acceleration not deceleration)
I hope my answer helps you
To determine the acceleration due to gravity, g using simple pendulum at
different places.
( IT IS MY SCHOOL PROJECT ITS SHOULD ME OF MINIMUM 20 PAGES )
By measuring the length of the pendulum and the period of oscillation at different locations, you can compare the value of g at those locations and see how it varies.
What is a pendulum?Generally, To determine the acceleration due to gravity using a simple pendulum, you will need to measure the length of the pendulum and the period of oscillation of the pendulum. The period of oscillation is the time it takes for the pendulum to complete one full swing.
To measure the period of oscillation, you can use a stopwatch or a timer to measure the time it takes for the pendulum to swing back and forth a certain number of times (such as 10 swings). The longer the pendulum, the longer the period of oscillation will be.
Once you have measured the length of the pendulum and the period of oscillation, you can use the following equation to calculate the acceleration due to gravity:
g = (4π^2L)/(T^2)
where:
g is the acceleration due to gravity π is the constant pi (3.14) L is the length of the pendulum in meters T is the period of oscillation in secondsRead more about pendulum
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A parallel circuit is one in which there is more than one point where the ____ divides and follows different paths.
Answer:
current
Explanation:
A parallel circuit is one in which there is more than one point where the current divides and follows different paths.
They are 2 questions related to the same topic
1) Draw the electric field of a positively charged object with +5 charges
2) Draw the electric field of a negatively charged object with -10 charges
An electric field is an electric property associated with each point in space when charge is present in any form. The diagrams are attached
What is an electric field?The force per unit charge exerted on a positive test charge that is at rest at a given point is the force per unit charge that is used to define the electric field mathematically. Electric charge or magnetic fields with varying amplitudes can produce an electric field.
When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, also known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
A self-propagating electromagnetic wave like light also requires an understanding of the electric field concept. We now have a way to explain how starlight travels across vast stretches of empty space to reach our eyes thanks to the electric field concept.
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How to calculate wave velocity for a given periodic wave with a wavelength of 3m has a frequency 6Hz?
The product of wavelength and frequency is always the speed of the wave.For this particular wave is 18 meters per second .
How can you calculate a wave's velocity given its frequency and wavelength? The wavelength ( = 0.9 m) and frequency ( = 0.9 m) values are supplied because one definition of wavelength is the distance a wave has gone after one full cycle, or one period.Since the wave velocity can be determined using v w = f, we can do so.Speed = Wavelength x Frequency describes how wave speed relates to both wave wavelength and wave frequency.By dividing the distance between the two fixed points by the interval between the detection of the wave edge at each location, one may determine the velocity using the leading edge data. The product of wavelength and frequency is always thespeed of the wave.For this particular wave,Speed = (3 meters) x (6 per second) = 18 meters per second .
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a proton follows the path shown in (figure 1). its initial speed is v0 = 2.6×106 m/s.
The speed of the proton at point P is determined as 2.67 x 10⁶ m/s.
The speed of the proton at point P is determined by applying the principle of conservation of energy as shown below.
Total energy of the proton at the initial position = total energy of the proton at the final position
Ui + K.Ei = Uf + K.Ef
where;
U is potential energy
K.E is the kinetic energy
= kq₁q₂/r₁ + ¹/₂mv₁² = kq₁q₂/r₂ + ¹/₂mv₂²
= kq₁q₂/r₁ + ¹/₂mv₁² - kq₁q₂/r₂ = ¹/₂mv₂²
= kq₁q₂(1/r₁ - 1/r₂) + ¹/₂mv₁² = ¹/₂mv₂²
= ¹/₂mv₂² = kq₁q₂ (1/r₁ - 1/r₂) + ¹/₂mv₁²
= v₂² = 2/m [kq₁q₂ (1/r₁ - 1/r₂) + ¹/₂mv₁² ]
where;
m is mass of the proton
k is coulomb's constant
q₁ is the magnitude of the charge
q₂ is charge of proton
r₁ is the initial position of the proton
r₂ is the final position of the proton = 5 mm (from Pythagoras theorem)
= v₂² = 2/(1.67 x 10⁻²⁷) [9 x 10⁹ x 10 x 10⁻⁹ x 1.6 x 10⁻¹⁹ (1/0.003 - 1/0.005) + ¹/₂(1.67 x 10⁻²⁷)(2.2 x 10⁶)² ]
= v₂² = 7.14 x 10¹²
= v₂ = √ (1.44 x 10²³)
= v₂ = 2.67 x 10⁶ m/s
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The complete question is below:
a proton follows the path shown in (figure 1). its initial speed is v0 = 2.2×106 m/s. find the speed of the proton at point P?
A 2kg ball is held at a height with 250J of gravitational potential energy. The ball is dropped. Calculate the velocity of the ball just before it hits the floor.
The ball's potential energy is completely changed into its kinetic energy (E k), which is equal to 250 J, when it hits the ground.
If v is the speed the ball was traveling at when it hit the ground, then
E(k) = 1 /2 mv^2
V= √2Ek/m
V= √2*250/ 2
V= 15.81 m/s
potential energy, which is a form of stored energy that depends on the relative positions of different components in a system. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
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a mass-less spring of length 31 cm is laid out on a table, with the left side firmly attached to a support, and a mass of 1 kg attached to the right end. the value of the spring constant is 164 n/m. the mass is pulled by a distance 6 cm to the right, and released. the table is friction-less, and the spring-mass executes simple harmonic motion. how many complete vibrations will the mass undergo in a time 60 s. round your answer to the nearest whole number
The number of vibrations are 122
as per the question given,
the length of the mass less string (l) is 31cm
a mass attached to the right end of spring (m) is 1kg
the value of the spring constant is (k) is 164 n/m
the mass is pulled by a distance (d) is 3cm
time (t) is 60s
the time period of the mass-less spring system is
[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex] ----(1)
where
the value of (m) is 1kg
the value of spring constant (k) is 164 n/m
let the value of [tex]\pi[/tex] is 3.14
now substitute the values in the time period equation
[tex]T=2\pi \sqrt{\frac{1}{164} }[/tex]
=> [tex]T= 2\times (3.14) \sqrt{\frac{1}{164} }[/tex]
=> T = [tex]2\times (3.14) \times 0.07803[/tex]
=> T =0.49002
the time period T is 0.49002,
therefore the number of oscillations in 60s is
n = time/Time period
[tex]n=\frac{60}{T}[/tex]
=>n = [tex]\frac{60}{0.49002}[/tex]
=> n= 122.43
=> n = 122
the number of vibrations are 122
To learn more about simple harmonic motion:
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