A fan blows the air and gives it kinetic energy, an hour after the fan has been turned off, the kinetic energy turns into thermal energy.
The fact that all energy is conserved causes a heat flow, which raises internal (or thermal) energy, as the air molecules slow and lose kinetic energy.
Kinetic energy, which may be seen in the movement of an object, particle, or group of particles, is the energy of motion. Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from a table, or a charged particle in an electric field.
The energy of a body in motion, or kinetic energy (KE), is essentially the energy of all moving objects. Along with potential energy, which is the stored energy present in objects at rest, it is one of the two primary types of energy.
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Calculate the magnitude of the electric field at the location of given that the square is 6.05 cm on a side.
The term “electric field” refers to the physical field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field (also known as an E-field).
It can also refer to the physical field surrounding a system of charged particles. Electric fields are composed of electric charges and time-varying electric currents.
Both electric and magnetic fields are manifestations of the electromagnetic field, one of the four fundamental interactions (sometimes known as forces) of nature.
Electrical technology makes use of electric fields, which are significant in many branches of physics.
For instance, in atomic physics and chemistry, the electric field acts as an attractive force to hold atoms’ atomic nuclei and electrons together. It is also the force that causes atoms to chemically link together to form molecules.
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Suppose you push to the right on a heavy piece of furniture but not hard enough to make it slide. does a friction force act on the furniture?
Yes, a friction force to the right acts on the furniture.
What do you mean by friction force?The force preventing solid surfaces, fluid layers, and material components from sliding past one another are known as friction. When surfaces in contact move past one another, the friction between the two surfaces transforms kinetic energy into thermal energy (that is, it converts work to heat). As demonstrated by the utilization of friction produced by rubbing pieces of wood together to start a fire, this feature can have dramatic effects. Every time there is motion with friction, such as when a viscous fluid is agitated, kinetic energy is transformed into thermal energy. Wear is a significant side effect of several types of friction that can result in deteriorated performance or component damage. The discipline of tribology includes friction.
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Randomly assigning students to different groups in an expeirment on memory would be
The correct answer is an important measure for controlling bias.
An effective way to prevent under-coverage in a memory experiment would be to randomly assign students to two separate groups.
The scientific method that must be repeatable and the data must be empirical for science to be trusted.
When scientists publish their work, they include enough information so that other scientists can repeat the experiment and obtain the same outcomes.
Additionally, in contrast to theories that are not supported by facts, the scientific method is founded on empirical evidence, which is derived from personal observations of the outside world.
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An atom of carbon has six protons. consider that the number of protons is changed to seven. is it still an atom of carbon? briefly explain your answer either way.
If the number of protons of a carbon atom is changed from 6 to 7, such an atom will no longer be a carbon atom.
The significance of the proton numberThe number of protons in an atom determines the atomic number of the atom. The atomic number of an atom determines the kind of atom.
For example, lithium has 3 protons and thus, an atomic number of 3. Carbon has the atomic number of 6 because it has 6 protons.
No atom of the same element can have a different number of protons. However, other atomic such as the number of electrons and neutrons components can vary.
Atoms of the same element with a different number of neutrons are called isotopes. Ions of the same atom will have a variable number of electrons.
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A bare helium nucleus has two positive charges and a mass of 6.64 10-27 kg. Calculate its kinetic energy in joules at 5.00% of the speed of light.
The kinetic energy of the helium nucleus will be 4.98 x 10⁻¹³ J
Kinetic energy can be define as , that it is a form of energy that an object or a particle is cause of its motion. Its unit is joule i.e. j & it is given as,
K.E. = 1/2 mv²
where , m is mass of the particle and v is the velocity of the particle .
Energy can be expressed as, the ability to perform work. Energy can neither be created nor destroyed, but it can only be transformed from one form to another. The unit of energy is joule .
Mass of helium nucleus = m = 6.64 x 10⁻²⁷ kg
Speed of light = c = 3 x 10⁸ m/s
Speed of light at 5.00% = c = 5.00/100x 3 x 10⁸ m/s = 1.5 x 10⁷ m/s
The kinetic energy of the helium nucleus can be given as ,
K.E = ¹/₂mc²
K.E = ¹/₂ x (6.64 x 10⁻²⁷) x (1. 5 x 10⁷)²
K.E = 4.98 x 10⁻¹³ J
Therefore, the kinetic energy of the helium nucleus is 4.98 x 10⁻¹³ J
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What is measured in this spectroscopic method?
the vibrational frequency of a bond the frequency that causes a nucleus to flip its spin the absorption of light energy over a specified wavelength range
The vibrational frequency of a bond is measured in this spectroscopic method
What is spectroscopic method ?To investigate the molecule level interaction, spectroscopic methods are used. In this regard, nuclear magnetic resonance is one method (NMR). NMR is utilised to analyse the interaction between mucus and polymers, and carbon and/or proton NMR can also elaborate this interaction.
Atomic absorption spectroscopy (AAS), atomic emission spectroscopy (AES), and atomic fluorescence spectroscopy are the three basic forms of atomic spectroscopy (AFS).The structure of atoms and molecules can be studied using spectroscopy. These systems emit a wide range of wavelengths, allowing researchers to examine their structures in great detail—including the configurations of the electrons in their ground and multiple excited states.Learn more about Spectrocopic method here:
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the resistivity of a material is doubled when heated a certain amount. what happens to the resistance of a device made of this material when heated the same amount?
The resistance will also be doubled when the device is made of same material and when heated to the same amount.
Resistance is defined as the opposition in the flow of current in an electrical circuit. It is measured in ohm. The electrical resistance of a conductor of unit cross-sectional area and unit length is known as Resistivity. It is represented by ρ.
The relation between resistance and resistivity is, ρ = RA/l . Here, R is Resistance , A is Area of wire and l is length of wire. Resistivity is directly proportional to the resistance. The resistivity of a material is doubled when heated a certain amount. So, for a same material heated to same extend the resistance will also be doubled.
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State the the first law of motion
Answer:
Explanation:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force
Answer:The first law of motion states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
What type of turbine is frequently used instead of electric motors so that it will continue to run in the event of a power outage?
The most adaptable type of turbo machinery available today is the gas turbine. It can be employed in a variety of ways in crucial sectors like aviation, oil and gas, process facilities, power generation, and smaller allied industries.
How long do power outages often last ?Typically, outages last about 1-2 hours. Recall that all outage start times are approximations. They are intended to be suggestions rather than set schedules. You may aid in averting outages. The three most frequent causes are overload, human mistake, and natural causes. A halt or failure in the flow of power, particularly electricity. A two-hour blackout on the East Coast during which power is lost. A halt in a machine or mechanism's operation brought on by a problem with the electrical or power source.
Basically, any disruption between the production of electricity and its delivery to houses might result in a power outage. It can be caused by bad weather, human error, defective equipment, and even animal involvement.
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___________ drinking is often done because of curiosity about taste and peer pressure.
Experimental drinking frequently occurs as a result of taste aversion and social pressure.
What is peer pressure and why it is caused?Peer pressure is the influence or pressure that comes from one's peers. Peers are frequently referred to be members of the same social or age group. Peers often surround themselves with dimwitted or poor self-esteem individuals to do their bidding because they feel the need to be in charge.
Peer pressure has several root reasons, including the need to fit in, low self-esteem, fear of being rejected, and, most often, the desire to feel safe and secure among peers. Peer pressure has the worst results and might have severe impacts. Ages 12 to 19 are when peer pressure is most prevalent. Teenagers sometimes succumb to peer pressure and do things they wouldn't otherwise do.
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A barge filled with ore floats in a canal lock. if the ore is tossed overboard, the water level in the lock will?
If the ore is tossed overboard, then the water level in the lock will remain the same.
In the above situation, Archimedes’ Principle is used.
It was given by a Greek Scientist, Archimedes in 246 CE.
According to this principle, the upward buoyant force on a body that is exerted on a body immersed in a liquid is equal to the weight of the liquid displaced by the body.
The formula for Buoyant force is given by the following formula
Force = ρ x g x v
Here ρ = density of the fluid
g = acceleration due to gravity
v = Volume of the fluid
Thus, When the ore is tossed overboard, then it displaces water equal to its weight, so the water level remains the same.
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A jogger travels a route that has two parts. the first is a displacement a of 2.95 km due south, and the second involves a displacement b that points due east. the resultant displacement a + b has a magnitude of 4.45 km. (a) what is the magnitude of b, and (b) what is the direction of a + b as a positive angle relative to due south? suppose that a - b had a magnitude of 4.45 km. (c) what then would be the magnitude of b, and (d) what is the direction of a - b relative to due south?
(a) The magnitude of →B is 2.43 km,
(b) The angle relative to due south is 56.7o in anti-clockwise direction.
© The magnitude of the →A−→B displacement is |→A−→B|=4.45 km
(d) The angle relative to due south is 326.7o in counterclockwise direction
326.7o
If there is a given vector →A then its opposite vector will be −→A
If the vector →A makes an angle θ above the positive x axis then the vector −→A will make the same angle below the negative x axis.
Given that:
The first displacement vector is →A=−2.95 ^j km
The second displacement vector is →B=B^i
The magnitude of the resultant displacement is |→A+→B|=4.45 km
Let this resultant makes an angle θ above the positive x axis.
The resultant of the given vectors is,
→A+→B=−2.95 ^j km + B ^i (4.45 cos θ ^i+4.45 sin θ ^j) km
=−2.95 ^j km + B ^i
By comparing both sides, we get
(4.45 sin θ ^j) km
=−2.95 ^j km
⟹θ=−56.7∘
or 90∘−56.7∘= 33.3∘ with south.
and (4.45 cosθ ^i) km
=B ^i(4.45 cos (−33.3∘) ^i) km
=B ^i
B=2.43 km
The magnitude of →B
is 2.43 km
b.) The angle relative to due south is 56.7o in anti-clockwise direction.
The magnitude of the →A−→B
displacement is |→A−→B|=4.45 km
Let this resultant makes an angle αabove the positive x axis.
c.) The difference of the given vectors is,
→A−→B=−2.95 ^j km−B ^i(4.45 cosα ^i+4.45 sinα ^j) km
=−2.95 ^j km−B ^i
By comparing both sides, we get
(1.77 sinα ^j) km
=−1.32 ^j km
α=−56.7o
or 270∘+56.7∘=326.7o
with south.
and (4.45 cosα ^i) km
=−B ^i(4.45 cos(−56.7∘) ^i) km
=−B ^i
B=−2.43 km
The magnitude of →B
Is 2.43km
(d) Hence, the angle relative to due south is 326.7o in counterclockwise direction
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If a force of 1.15 x 103n is required to lift an object with a uniform velocity, determine the mass, in kg, of the object if the acceleration due to gravity is: a) 32.5 ft/sec2 b) 7.86 m/sec2
a) mass of object with acceleration 32.5 ft/sec2 is 116 kg
b) mass of object with acceleration 7.86 m/sec2 is 146 kg
Given:
Force = 1.15 x 10^3 N
Acceleration = a) 32.5 ft/sec2 b) 7.86 m/sec2
Solution: The definition of force in physics is: The push or pull on a massed object 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.
Force = mass x acceleration
mass(a) = Force/Acceleration
= 1.15 x 10^3 N/32.5 ft/sec2 x 3.2808 ft/m = 116 kg
mass(b) = 1.15 x 10^3 N/7.86 m/sec2 = 146 kg
Hence, mass of object with acceleration 32.5 ft/sec2 is 116 kg
Hence, mass of object with acceleration 7.86 m/sec2 is 146 kg
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There are 200cells of emf 2v and internal resistance 1ohm. There are m rows having n cells in each row. If the combination have a net emf of 50v. Then find m,n and internal resistance ?
Answer:
See below
Explanation:
Each parallel row = 50 v so there is 25 cells in each (2 v each)
200 cells / 25 cells / row = 8 rows of 25 cells each
the equivalent resistance is
each row has resistance = 25 ohms
equivalent resistance =
1 / ( 8 * 1/25) = 3.125 ohms
If a construction worker drops a rench from a height of 1000 feet, how fast will the wrench be falling after 5 seconds?
The distance actually fallen in t seconds is defined by d = Vot + 16t^2 or 16t^2 with an initial velocity of Vo = 0.
And the object will fall at 160ft/sec speed.
Velocity, both initial and finalWhen gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector quantity that measures the
The position of an object dropped from a height of 1000 ft. is given by s = 1000 – Vot – 16[tex]t^{2}[/tex], or 1000 – 16[tex]t^{2}[/tex] for Vo = 0, s being the distance from the ground.
The equation s(t) = Vot – 16[tex]t^{2}[/tex] is the height reached when propelled upward at a velocity of Vo.
An object dropped from a height if 1000 ft. will have a velocity of
Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.
The distance fallen in this 5 second is s = Vot + [tex]\frac{gt^2}{2}[/tex] = Vot + 16[tex]t^{2}[/tex] = 0 + 16([tex]5^{2}[/tex]) = 400 feet, making the position, or distance, from the ground 600 feet.
The formula d = Vot + 16[tex]t^{2}[/tex] or 16 [tex]t^{2}[/tex]with an initial velocity of Vo = 0 determines the distance that actually fell in t seconds.
The position of an object dropped from a height of 1000 feet can be calculated using the formula s = 1000 – Vot – 16t2, or 1000 – 16t2 for Vo = 0.
The height attained when moving upward at a velocity of Vo can be calculated using the equation s(t) = Vot – 16t2.
The velocity of an item falling from a height of 1000 feet is Vf = Vo + gt = Vo + 32t = 0 + 32(5) = 160 ft/sec.
The location, or distance, from the ground is 600 feet due to the distance that was lost in these five seconds: s = Vot + gt2/2 = Vot + 16t2 = 0 + 16(52) = 400 feet.
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Identify a potential source of bias related to the question being asked. suggest a change that would help fix this problem
It is assumed that every adult has a home phone number is the potential source of bias
What is potential source of bias?Systematic variations in how individuals are dropped from the study and how the results are adjusted for them (e.g., incomplete follow-up, differential attrition). bias brought on by an inadequate evaluation of the results. During the course of the study, selection bias can arise from missing data bias.
How may bias' confounding effect be avoided?It is not possible to totally avoid confounding effects. Therefore, every scientist should be aware of all potential causes of bias and take all reasonable steps to minimize and lessen the departure from the truth. Authors should acknowledge any remaining variation in their writing by outlining any recognized constraints on their effort.
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The complete question is: An opinion poll calls 2000 randomly chosen residential telephone numbers then asked to speak with an adult member of the household the interviewer asks box office revenues are at an all-time high how many movies have you watched any theater in the past 12 months and all 1131 people responded the researchers use the responses to estimate the main number of movies adults have watched any movie theater in the past 12 months. What is the potential source of bias in this question
True/false: you should begin viewing a specimen with the 10x objective lens.
a. true
b. false
You should begin viewing a specimen with the 10X objective lens that is false.
What is a lens?An optical device known as a lens uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically aligned along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or molded into the required shape. In contrast to a prism, which just refracts light without focusing it, a lens can focus light to create an image. In addition to focusing visible light, lenses can also be used to disperse various types of waves and radiation, such as explosive, microwave, electron, and acoustic waves.
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starting from rest, a cart moves to the right in a straight line along a track. the motion of the cart is represented by the dots shown, recorded at equal time intervals. which of the following best represents the acceleration vectors at the beginning, middle, and end of the motion?
The second option is the correct answer to the question. The complete question is attached
In the beginning, the cart started from rest and moved to the right. The movement represents positive acceleration
In the middle, there is no change in velocity hence no acceleration. This means that the value of acceleration is zero
A the end, the cart had a negative acceleration which brings the cart to rest.
What is acceleration?Acceleration refers to the change in velocity with time. Usually when there is no change in velocity acceleration is zero. The value can also be positive or negative depending on the velocity.
When there is an increase in velocity, the result is positive acceleration but in a situation when there is a decrease in velocity the result is negative acceleration. At the peak pf negative acceleration the result is to put the object accelerating to a stop.
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5. Forces have. And.
Answer:
Forces have magnitude and direction.
Explanation:
Force is a vector quantity.
A north american tourist takes his 25.0-w, 120-v ac razor to europe and plugs it into 240 v ac. assuming constant resistance, what power does the razor consume as it is ruined?
The power consumed by the razor is 100W.
According to Ohm's law,
Resistance R = Voltage V / Current ICurrent I = Power P / Voltage VTherefore Resistance R = [tex]V^{2}[/tex] / P
Given,
Power in North America P[tex]^{NA}[/tex] = 25 w
Voltage in North America V[tex]^{NA}[/tex] = 120 V
Voltage in Europe V[tex]^{EU}[/tex] = 240 V
Resistance in North America R[tex]^{NA}[/tex] = [tex]120^{2}[/tex] / 25 = 576 Ω
Resistance in Europe R[tex]^{EU}[/tex] = 576 Ω ( Assumed constant )
Power in Europe P[tex]^{EU}[/tex] = [tex]240^{2}[/tex] / 576 = 100 w
Ohm's law describes that the Current across a conductor is directly proportional to the Voltage across those two points.
Therefore power consumed by the razor is 100W.
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A velocity vector has a magnitude of 25.0 m/sm/s . if its yy component is -10.0 m/sm/s , what are the possible values of its xx component?
The possible values of its xx component are 13, 9.
What is component?A part is a practically free piece of any framework. It carries out some role and may require some information or produce some result. A part in programming is frequently addressed by classes. Each piece of a two-layered vector is known as a part. The parts of a vector portray the impact of that vector in a provided guidance. The consolidated impact of the two parts is comparable to the impact of the single two-layered vector. The part strategy is a method for adding various vectors to each other in physical science. It empowers the option of right-calculated vector parts to find a resultant vector having an extent and heading that relies upon the singular parts added.
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A drag racer starts from rest and accelerates uniformly to a speed of 76.5 m/s in 8.5 seconds. what is the distance traveled by the car in the 8.5 s?
[tex]9 m/s^{2}[/tex] is the distance traveled by the car in the 8.5 s
U = 0 (rest)
V= 76.5 m/s
t= 8.5 second
a=?
We are related
V=u+at
76.5 m/s = 0+a×8.5
⟹a= 76.5/8.5 = [tex]9 m/s^{2}[/tex]
Hence, the car's acceleration [tex]9 m/s^{2}[/tex]
What is distance travelled?The route taken by a body to travel from a starting point to an ending location in a predetermined amount of time and at a predetermined speed is known as the distance travelled. Considering a constant velocity:
Distance is calculated as time multiplied by velocity.
The formula is denoted as d = v×t.
D is the distance, as stated.
V is the speed.
t is the time.
The formula for calculating distance traveled can be used to calculate how far driving a car or swimming laps in a pool will take you.
The distance and speed while driving an automobile are measured in kilometers per hour, respectively.
The distance swim will be measured in terms of laps while doing laps in a pool.
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Water has a ph of 7. ph is defined as the negative log of the hydrogen ion concentration [h ]. explain why water is assigned a ph of 7.
Answer: Concentration of H+ =10^-7; log of 10^-7=7 so pH=7
Explanation:
Help, physics is really hard man
Answer:
23.63985719
Explanation:
pls dont ask it was painfull
How much work does it take to slide a crate m along a loading dock by pulling on it with a -n force at an angle of from the horizontal?
The work needed to slide the crate at a distance of 22 m is
[tex]$W=4.38 \times 10^3 J$[/tex]
What is meant by work done?The work done by a constant force on an object as the object moves along a displacement vector [tex]$\vec{d}$[/tex] is given by the formula involving the dot product of the two vectors:
[tex]$W=\vec{F} \cdot \vec{d}=F d \cos (\theta)$$[/tex]
Where [tex]$\vec{F}[/tex], F is the force vector and its magnitude respectively, [tex]$\vec{d}[/tex], d is the displacement vector and its magnitude respectively and [tex]$\theta$[/tex] is the angle between the displacement vector and the force vector.
Given:
Force acting on the crate, F = 230 N
Distance traveled by the crate,
[tex]$d=22 \mathrm{~m}$$[/tex]
The angle between the force and the displacement,
[tex]$$\theta=30^{\circ}$$[/tex]
Then the work done by the force on the crate as it travels 22 m under the action of the force is
[tex]$W &=F d \cos \theta \\[/tex]
[tex]$&=230 \times 22 \cos 30^{\circ} \\[/tex]
simplifying the above equation, we get
[tex]$&=230 \times 22 \times \frac{\sqrt{3}}{2} \\[/tex]
[tex]$&=4382.089 \mathrm{~J} \\[/tex]
[tex]$&=4.38 \times 10^3 \mathrm{~J}[/tex]
Therefore the work needed to slide the crate at a distance of 22 m is
[tex]$W=4.38 \times 10^3 J$[/tex]
The complete question is:
How much work does it take to slide a crate 22m along a loading dock by pulling on it with a [tex]$230-\mathrm{N}$[/tex] force at an angle of [tex]$30^{\circ}$[/tex] from the horizontal?
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The average temperature of ocean surface water is 289 k. oceans behave as black bodies. show that the intensity radiated by the oceans is:_____
The radius is equal to the Earth’s radius. You can find this information online by computing the Earth’s surface area while assuming that it is a perfect sphere, then multiplying the result by the percentage of the planet that is covered in water.
Actually, you can demonstrate this without knowing the radius.
P/A = e•s•T4
Water has an emissivity, e, of roughly 0.96. And 5.67108 W/m2 K4 is the Stefan-Boltzmann constant.
Stephen Boltzmann lawThe power radiated from a black body is described by the Stefan-Boltzmann law in terms of its temperature. The Stefan-Boltzmann constant, often known as the proportionality constant, is derived from several well-known physical constants.
Where k is the Boltzmann constant, h is the Planck’s constant, and c is the speed of light in a vacuum, the constant has the value since 2019
When compared to a black body, a body that does not completely absorb incident radiation (sometimes referred to as a grey body) emits less total energy.
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Calculate the mass of nitrogen dissolved at room temperature in an 80.0-l home aquarium. assume a total pressure of 1.0 atm and a mole fraction for nitrogen of 0.78.
The mass of nitrogen is calculated as 1.092 grams
CalculationAccording to Dalton's Law of partial pressure:
Pn2 = Ptotal Xn2
Were,
Pn2is the partial pressure of nitrogen
Ptotal is the Total pressure
Xn2is the mole fraction of nitrogen
Given:
Total pressure = 1.0 atm
Mole fraction of nitrogen = 0.78
Partial pressure of nitrogen:
Pn2= 1.0 x 0.78 atm
Partial pressure of nitrogen = 0.78 atmAccording to Henry's law:
Solubility = Henry's constant (k)×Partial pressure
k = 6.26×10⁻⁴ mol/L-atm
Thus,
Solubility of nitrogen = 6.26×10⁻⁴ mol/L-atm×0.78 atm = 4.8828×10⁻⁴ mol/L
Given: Volume = 80.0 L
So, Moles of nitrogen gas dissolved:
Moles = Solubility (Concentration dissolved) ×Volume
Moles = 4.8828×10⁻⁴ mol/L×80.0 L = 0.0390 moles
Also,
moles = mass (m) / molar mass (M)
mass of nitrogen = moles x molar mass
Molar mass of nitrogen gas = 28 g/mol
So,
Mass of nitrogen gas dissolved = 0.0390 moles×28 g/mol = 1.092 grams
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One kilogram equals 1000 grams. one milligram equals 0.001 grams. how many milligrams are in one kilogram?
By conversion unit, 1 kilogram is equal to 10⁶ milligrams or 1000000 milligrams.
We need to know about a conversion unit to solve this problem. Kilogram is the SI unit for length but there are other units which able to determine the length such as gram and milligram. The conversion unit of milligram to kilogram is
1 mg = 10¯⁶ kg
1 mg = 0.000001 kg
From the question above, we know that the question is converting 1 kg to 1 mg, Hence
1 mg = 10¯⁶ kg
multiply by 10⁶
1 kg = 10⁶ mg
or we can write
1kg = 1000000 mg
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When the position of a block in simple harmonic motion on a spring is zero, what other quantity is also zero?
a) acceleration
b) phase
c) constant
d) frequency
e) velocity
When the position of a block in simple harmonic motion on a spring is zero, acceleration of the block is also zero.
Position of a block performing simple harmonic oscillation is given by
[tex]x(t) = ASin(wt - \phi)[/tex] where, '[tex]A[/tex]' , '[tex]w[/tex]' and '[tex]\phi[/tex]' are the amplitude, angular velocity and phase difference of the particle performing simple harmonic oscillation. Substituting time [tex]t = \frac{1}{w} + \phi[/tex] in the [tex]x(t) = ASin(wt - \phi)[/tex] we get position of the block to be zero. This implies the position of the block is zero at time [tex]t = \frac{1}{w} + \phi[/tex].
Now, the acceleration is the second derivative of position w.r.t time, thus, [tex]a(t) = -w^{2}ASin(wt - \phi)[/tex] is the acceleration of the block. Now, the acceleration of the block at time [tex]t = \frac{1}{w} + \phi[/tex] becomes zero.
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What is the force required to move a block of mass 150 pound by a distance of 5ft in 8 seconds?
Force required to move a block is 1.615 N
Given:
mass of block = m = 150 pounds = 68 kg
distance = d = 5 ft = 1.52 metres
time = t = 8 sec
To Find:
force required to move the block
Solution: Force is defined as product of mass and acceleration and it's unit is N or Newton.
Velocity = displacement/ time = 1.52 / 8 = 0.19 m/s
Acceleration = velocity/time = 0.19/8 =
0.023 m/s^2
Force = mass x acceleration = 68x0.023 = 1.615 N
Hence, force required to move the block is 1.615 N
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