V1 = (1.2 A)(2 ) = 2.4 volts is the voltage across R1.V2 = (1.2 A)(3 ) = 3.6 volts is the voltage across R2.V3 = (1.2 A)(5 ) = 6.0 volts is the voltage across R3.
How can the voltage across be determined?We can use Ohm's Law (V = I x R) to determine actual voltage drops over each resistor once we have the amperage for such circuit (remember that the amperage doesn't really change inside a series circuit).
How can I calculate the voltage drop between two resistors?According to Ohm's Law, V=I*R, where V stands for voltage, I for current, and R for resistance.The power loss across each resistor in a series circuit will be inversely correlated with its size.The voltage drop over each resistor in a parallel connection will be equal to the voltage coming from the power source.
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you are experimenting with a stretched spring with your lab partner. you have a spring length of 3.05 meters, and you find that the vibration period of the 2nd harmonic is 0.370 s. what is the vibration frequency in hz? in radians per second? what is the wavelength of this vibration? what is the product of the frequency, in hz, and the wavelength?
The vibration frequency in Hz is 2.7 Hz. This is calculated by taking the inverse of the vibration period (1/0.370 s = 2.7 Hz).
The vibration frequency in radians per second is 17.1 rad/s. This is calculated by taking the vibration frequency in Hz (2.7 Hz) and multiplying it by 2π (2.7 Hz x 2π = 17.1 rad/s).
The wavelength of this vibration is 1.13 m. This is calculated by taking the length of the spring (3.05 m) and dividing it by the harmonic number (3.05 m/2 = 1.13 m).
The product of the frequency, in Hz, and the wavelength is 3.06 Hz-m. This is calculated by taking the frequency in Hz (2.7 Hz) and the wavelength (1.13 m) and multiplying them together (2.7 Hz x 1.13 m = 3.06 Hz-m).
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Which of the following represents the correct relationship between frequency and angular frequency?
a) ω=2πf b) ω=πf c) f=2πω d) f=πω
The suitable formula for the relationship between frequency and angular frequency is f=2r. A recurring event's frequency is measured by how many times it occurs in a unit of time.
What pitch does the universe have?
You may connect with the cosmos through this music's 432 Hz frequency and experience the power of the creative source. We use the 432 Hz frequency to help the unconscious become aware of how we shape our world.
What frequency causes harm to people?
The only known negative health consequences of RF field exposures in the frequency range from 3 kHz to 300 GHz relate to the occurrence of tissue heating and nerve stimulation (NS) from brief (acute) exposures, despite the advent of several further research papers on RF fields and health.
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a lens creates an image as shown. in this situation, the object distance s is
The Focal length (f) exceeds the Object distance (s).
1/v + 1/u = 1/f
As we can see in the fig. the magnitude of the object distance (u) is less than the magnitude of the image distance (v).
Also; u = - u & v = v {distance in the left of the lens is taken -ve.}.
Substituting in eqn (i) :
1/v - 1/u. = 1/f. ; & |v.| > |u|
1/v = 1/f + 1/u
Now; In order to be v greatest, 1/v should be smallest.
So, 1/f + 1/u should be smallest : NOTE : f is a fixed quantity, so value of 1/f can't be changed.
For 1/f + 1/u to be smallest, value of u must be larger.
So the Object distance (s) is larger than the Focal length (f).
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consider the properties you can deduce from the periodic table. what do you know about the noble gases? select all of models that represent noble gases.responses
Because of their electrical configurations, they have been given the more apt name, Group 18. Possibilities Both a C are really the isotopes since their outer layer is completed but they do not interact with anyone.
Noble gases: what are they?Noble gases are all seven of the basic components that make up Division 18 of the chemical elements. The constituent elements include hydrogen, xenon, radon, atoms, mercury, radon, and oganesson (Og). Inert, flavorless, unscented, and nonflammable gases are known as noble gases.
What noble gas is gold?This definition classifies copper, silver, and gold as noble metals. A superb metal is also one that is resistant to corrosion and oxidation.
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The SI units for position, velocity, and acceleration are, respectively: Question 11 options: m, m/s, m/s^2 kg, m/s, m^2/s m, m/s, m^2/s kg, m/s, m/s^
The SI units for position, velocity, and acceleration are, respectively: m, m/s, m/s^2
Position is measured in meters (m). Velocity is measured in meters per second (m/s). Acceleration is measured in meters per second squared (m/s^2).
Velocity:
Velocity is the directional velocity of a moving object as an indicator of the rate of change of position, observed from a certain frame of reference and measured at a certain time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Acceleration:
Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object. The magnitude of the object's acceleration described by Newton's second law.
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study the spectral types listed in appendix f for the 20 brightest stars and for the stars within 12 light-years of earth. why do you think the two lists are so different? explain.
The points about the stars from the appendix are: Sirius A is the most luminous star within 12 parsecs. It is also the brightest star in our sky, even though it is not the closest. The list of the brightest stars will include the very luminous hot stars from distances greater than 12 light-years, while the list of the fainter yet closer low-mass stars will not.
The list of stars within 12 light-years is volume-limited, which means that almost all of the stars within that distance are listed regardless of luminosity. Such a list is a better representative of the total population of stars and is more plausible to be dominated by low-mass stars. The list of brightest stars includes only those stars that are above a certain apparent brightness threshold.
Therefore, the faintest nearby stars are excluded, but the brightest and rarer hot stars are included in higher proportion than they are in a volume-limited list.
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What type of metamorphosis do hive beetles undergo?
a. complete
b. incomplete
c. mesocomplete
The small hive beetles, like moths and bees, undergo complete metamorphosis.
The beetles' life cycle starts with eggs, which are laid in the hive and hatch into larvae within 2 to 3 days.
Ten to 16 days later, the larvae crawl from the hive and drop to the ground outside, where they burrow into the soil and pupate.
In about 3 to 4 weeks, they emerge as adult beetles. and re-enter the hive a week later.
This process may repeat itself several times. a year, especially during the warmth months'
An animal's physical development, including birth or hatching, is governed by a biological process called metamorphosis. This process involves a noticeable and rather rapid change in the animal's body structure as a result of cell proliferation and differentiation. Insects, fish, amphibians, mollusks, crustaceans, cnidarians, echinoderms, and tunicates are among the creatures that go through metamorphosis, which is frequently accompanied by a change in diet or behaviour. Animals can be categorised into species that undergo holometaboly (full metamorphosis), hemimetaboly (incomplete metamorphosis), or no metamorphosis ("ametaboly").
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this problem occurs in petroleum firefighting when fire streams are applied to the burning liquid surface at such an angle that hot and / or burning oil is forced over the edge of the tank. the oil then flows down the side of the tank and you are now confronted with a fire on the ground as well as the one in the tank. this best defines which problem?
Petroleum has less density than water. So, when fire streams are applied to the burning liquid surface at such an angle that hot and / or burning oil is forced over the edge of the tank, the oil then flows down the side of the tank and you are now confronted with a fire on the ground as well as the one in the tank.
What are the reasons not to use fire streams during deal with burning oil?When you spray water on a regular fire, you're attempting to lower the flame's temperature and contain the fire.
Fuel for an oil fire is oil. Temperature and oxidizer are present in a fire (oxygen). Due to the fact that oil is lighter than water, an explosion may result if it floats above water while water sinks beneath oil.
Consequently, water shouldn't be used to put out oil fires.
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a physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance x from the 50 cm mark. the period of oscillation is observed to be 3.1 s. find the distance x.
When physical pendulum is selected, the plus sign results in an improbable value for d(d=1.5>L). A physically significant result is obtained if we use the minus sign: d=0.056m.
What real-world instances exist of pendulums?A baseball club swinging back and forward on is an illustration of a physical pendulum. A physical pendulum can undergo simple harmonic motion in exactly the same manner that a simple pendulum can under specific circumstances.
What are physical and compound pendulums?The only physical aspect of a basic pendulum that influences its period has been its length. The object's mass has no bearing on the era. The period of a compound pendulum depends on both the mass of the object and whether that mass is distributed.
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the daily tidal range is of the least magnitude during ________.
Due to the Earth's rotation, the seas' neap tides alter every six hours or so. The Moon and the Sun's gravitational pull on the ocean's water produces the tides themselves.
What usually happens when waves approach shallow water?Waves from deep water become breaking waves when they enter the shallow water. The water particles drag along the bottom and flatten their orbit when the wave energy contacts the ocean floor (Fig. 4.18 B). When the water depth is less than half the wavelength (D 1/2 L), transitional waves are produced.
When waves enter shallow water, they frequently try to align themselves parallel to the shore.A wave's energy release when it approaches a beach or coastline creates a current that travels parallel to the shoreline. A "longshore current" is the name given to this kind of current.
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suppose that a polar bear's foot has a luminosity of . what is the bolometric absolute magnitude of the bear's foot? what is the bolometric apparent magnitude of the foot at a luminosity distance of ? if a bolometer can detect the bear's foot at a maximum luminosity distance of , what is the maximum luminosity distance at which it could detect the sun? what is the maximum luminosity distance at which it could detect a supernova with ?
The bolometric absolute magnitude of the bear's foot is M = 68.70.
Solution:
Bear's foot has a luminosity of 2 = 10 Watt
We have to find the bolometric absolute magnitude foot of the bear
we know the bolo metric absolute magnitude formula
M = -2.5 log10 (2x) —(1) will but 78.7 x 3.83×1026 20 гое 2x = Lx → refer luminosity value of L and Lx in the equation.... (i)
M = -2.5 log10 ( 10/ 78.7 x 3.83 x 10²⁶
M = -2.5 log 10 (10/301.42 x 10²⁶)
M = -2.5 -27.48
M = 68.70
We propose the radiation temperature T as a measure of circumstellar eclipses and the evolutionary development of young stellar bodies. T is the temperature of a blackbody with the same mean frequency as the observed continuum spectrum. A bolometer is an instrument used to measure radiation by measuring the temperature rise of a blackened metal strip in one of the arms of a resistance bridge.
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If a conductor is connected to "ground", then what is the charge on it?
positive
neutral
negative
determined by other nearby charges
If the conductor is connected to the ground, then it has a neutral charge.
Earth acts as a zero potential ground. So when you connect a positively charged conductor to the ground, the positive charge flows into the ground, resulting in the flow of electrons from the ground to the conductor. A ground wire acts as protection against unstable currents.
Under normal circuit conditions, no current flows through the ground wire. However, when an electrical accident such as a short circuit occurs, the ground wire removes the unstable current from the electrical system and leads it to the ground. The ground wire can be finger-safe as long as there is no electrical surge that causes current to flow through the ground wire.
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a centrifuge in a medical laboratory rotates at an angu- lar velocity of 3 600 rev/min. when switched off, it rotates through 50.0 revolutions before coming to rest. find the con- stant angular acceleration (in rad/s2) of the centrifuge.
the con- stant angular acceleration (in rad/s2) of the centrifuge is α = -226.2rad/s².
Calculation :
We know that ,
W² = W₀ + 2αΔФ , W = 0 so
α = -W₀²/2ΔФ = -[tex](\frac{2\pi *3600}{60} )^{2} *\frac{1}{2*2\pi *50.0}[/tex]
= -72.0π
α = -226.2rad/s²
Angular acceleration refers to the rate of change of angular velocity over time. Since there are two types of angular velocity, spin angular velocity and orbital angular velocity, there are of course two types of angular acceleration, spin angular acceleration and orbital angular acceleration. Spin angular acceleration refers to the angular acceleration around the center of rotation of a rigid body, while orbital angular acceleration refers to the angular acceleration of a point particle about a fixed origin.
Angular acceleration is measured in angular units per unit time squared (radians per second squared in SI units) and is usually represented by the symbol alpha (α).
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three children are riding on the edge of a merry-go-round that is 115 kg, has a 1.7-m radius, and is spinning at 24 rpm. the children have masses of 32, 34, and 40 kg. (a) if the children with masses of 34 and 40 kg move to the center of the merry-go-round, what is the new angular velocity in rpm?
The new angular velocity is 27.7 rpm
From the question, we have
ω = 22 rpm = angular velocity with all children on the edge,
ω' = angular velocity after m2 moved.
From conservation of angular momentum, we have
Mr²ω'/2 + m1r²ω' + m3r²ω' = Mr²ω/2 + m1r²ω + m2r²ω + m3r²ω
ω' = ω(M/2 + m1 + m2 + m3)/(M/2 + m1 + m3)
ω' = 22×(115/2 + 32 + 34 + 40)/(115/2 + 32 + 40)
= 27.7 rpm
The new angular velocity is 27.7 rpm
Complete question:
three children are riding on the edge of a merry-go-round that is 115 kg, has a 1.7-m radius, and is spinning at 24 rpm. the children have masses of 32, 34, and 40 kg. (a) if the children with masses of 34 and 40 kg move to the center of the merry-go-round, what is the new angular velocity in rpm?
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You hold a picture motionless against a wall by pressing on it, as shown in the figure. (Figure 1) Figure 1 of 1The figure shows a hand, holding a picture by pressing it against the vertical wall. Part A Identify all forces acting on the object and draw the free-body diagram.
The number of forces acting on the picture was normal force , gravitational force, weight of the picture, force exerted by the hand.
define gravitational force ?
Have you ever wondered how planets orbit the Sun? Shouldn't the Earth and the Moon merely crash since the Earth draws the Moon and the Moon attracted the Earth? Why isn't the Moon falling? Why does it continue to revolve around the Earth?
Understanding the basics of gravity can provide answers to all of these problems. The gravitational force is the global force of attraction that acts between things. It is one among the universe's basic forces.
normal force , gravitational force, weight of the picture, force exerted by the hand.
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Answer: me personally I think its figure 4
:D
a wooden block rests on a ramp inclined at 30 degrees with the horizontal. how does the magnitude of the normal force on the block change if you increase the ramp to an incline of 45 degrees?
Assuming there aren't any frictional forces at play.
The block is simply being acted upon by its weight and the normal force.The weight can be represented graphically as a straight-down vector or as two parallel components with the slope's surface (axis of motion) and one component perpendicular to the slope's surface (opposite to the normal force).
How can the normal force be determined on a horizontal surface?When an item is supported exclusively by weight and normal forces, W = Fn, hence Fn = mg, for a horizontal surface. The normal force for an item across an inclined surface with an angle of is given by Fn=mgcos F n = m g c o s.
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A boy having a mass of 75 kg holds in his hands a bag of flour weighing 40N. With what force does the floor push
up on his feet?
The force experienced by the boy on his feet is 775.75N.
Calculation of total ForceGiven Data
Mass of the boy= 75kgWeight of the bag = 40NLet us begin by calculating the total weight in the system
Weight of the boy= mg
W = 75*9.81
W = 735.75 N
Total weight of the system = 735.75+ 40
Total weight of the system = 775.75 N
A force is an influence that can cause an object's motion to change. A force can cause a mass object's velocity to change.
Force is an external agent that can change the state of rest or motion of a body.
We know that action and reaction are equal and opposite, hence the force experienced by the boy on his feet is 775.75N
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How could a clinician actually apply epithelial absorption techniques? Try to think of strategies other than the skin patch approach
patch (skin, ex: nicotine)-oral meds (stomach, ex: water/electrolytes)-inhalation: snort/smoke (nasal lining ex: nasal spray, cortisone (steroid))-coatings (skin, ex: lotions)-injections (blood vessel linings, ex: insulin shot)-eye drops (conjuncting : eye socket e: anti-biotic )-suppository , ex: nausea med).
What 3 kinds of absorption spectrum are there?Continuous, Line, & Band Absorption Spectrum are the different types of absorption spectrum.
What does forensic science mean by absorption?Forensics.For many years, atom absorption spectroscopy has been employed to research forensic sciences.With the aid of this equipment, forensic investigators can analyze blood samples, brain & muscle tissue, or gunshot powder residue in great detail.
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1 pts what is the speed over ground of an airplane flying at 100 km/h relative to the air caught in a 100 km/h right-angle wind? group of answer choices 100 km/h 0 km/h 200 km/h 141 km/h
What is the speed of an aircraft traveling at 100 km/h above the ground in relation to the air that has a 6 m/s right-angle crosswind at that same speed?
What really is speed in physics, and what is its measure?Speed is described as the rate at which a distance changes over time. It has a distance by time dimension. The basic value of distance with the basic unit of time are combined to form the SI unit of speed. The metric system uses meters per second as the unit of speed.
Which types of speed are there?Distance traveled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is defined as the amount of time it takes to cover a given distance. m/sec is the speed unit. The magnitude of the velocity vector is a scalar variable called speed.
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the superposition of mechanical waves can be observed in the movement of waves in a ripple tank
A.) Bumper Cars B.) waves in a ripple tank C.)electromagnetic radiation D.)an orchestra . Therefore all of the above.
What does mechanical wave superposition entail?According to the principle of superposition for mechanical waves, the position of the medium's mass element at a place where two or more moving waves join is equal to the algebraic total of the positions originating from the individual waves.
When is a wave superposition possible?When two (or more) waves are traveling through the same medium simultaneously, the principle of superposition can be applied to them. Without causing any disturbance, the waves pass through one another.
What prerequisites must be met for two waves to superimpose?They overlap and produce a phenomenon called wave interference.
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The given question is incomplete, the complete question is:
The superposition of mechanical waves can be observed in the movement of :
A. Bumper Cars
B. waves in a ripple tank.
C. electromagnetic radiation
D. an orchestra
A parallel plate capacitor with circular plates of radius R = 16.0 cm and plate separation d = 9.00 mm is being charged at the rate of 8.00 C/s.
What is the displacement current through a circular loop of radius r = 21.00 cm centered on the axis of the capacitor? 8.00 You are correct.
What is the displacement current through a circular loop of radius r = 3.00 cm centered on the axis of the capacitor?
What is the magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor?
Part a: Displacement current: I(d1) = 8 ampere.
Part b: displacement current: I(d2) = 2.812 x 10⁻¹ A.
Part c: magnetic field at a r = 3 cm radial distance: 1.875 x 10⁻⁶ T.
Explain the term Displacement Current?The electric field that exists between both the capacitor plates stores energy in capacitors. A current known as displacement current forms between the capacitor plates if the electric field between them is continuously changing.Part a: Displacement current within the 21 cm-radius circular loop.
Since the capacitance plate has a 16 cm radius, the current can only flow in a loop of this size, or the total displacement current flows within a loop with a 21 cm radius.
Displacement current;
I(d1) = ∈₀.dФ(e)/dt
I(d1) = ∈₀ x A x (Qr.d/∈₀.A.d)
I(d1) = Qr
I(d1) = 8 C/s
I(d1) = 8 ampere of Displacement current.
Part b: displacement current flowing through a 3 cm-diameter circular loop
Density of the displacement current;
Jd = I(d1)/A
Jd = 8/(8.042 x 10⁻²)
Jd = 99.478 A/m²
For the radius r, area of loop
A1 = πr²
A1 = 3.14 x (0.03)²
A1 = 2.827 x 10⁻³ m²
Thus, displacement current;
I(d2) = Jd x A1
I(d2) = 99.478 x 2.827 x 10⁻³
I(d2) = 2.812 x 10⁻¹ A.
Part c: magnetic field at a r = 3 cm radial distance.
Field of magnetism:
B = μ₀.I(d2) / 2πr
B = 4π x 10⁻⁷ x 2.812 x 10⁻¹ / 2π x 0.03
B = 1.875 x 10⁻⁶ T
Thus, magnetic field at a r = 3 cm radial distance is 1.875 x 10⁻⁶ T.
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Cedric is riding the free fall ride at six flags . If Cedric free falls from rest for 2.6 seconds . What will his final velocity be
The final velocity of the free fall was 2.6(a)
define acceleration ?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force applied on an item determines the direction of its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:
According to the materials used to make the item, the magnitude of the net balance of all external forces acting on it is inversely proportional to its mass, but the size of the net resultant force is directly proportional to the net force.
The acceleration unit in the SI is the metre per second squared.
the final velocity was
f=u + a t
f=0+ a(2.6)
=a(2.6)
the acceleration of the free fall ride was not mentioned in the question so upto the question detailing the final velocity was found to be 2.6(a)
here the mentioned a was called as the acceleration.
The final velocity of the free fall was 2.6(a)
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he first right-hand rule relates which two quantities?
A.
current (thumb) to magnetic field (fingers)
B.
magnetic field (thumb) to current (fingers)
C.
current (thumb) to force (fingers)
D.
force (thumb) to current (fingers)
Reset Next
Answer: A.
current (thumb) to magnetic field (fingers)
Answer:
A. current (thumb) to magnetic field (fingers)
Explanation:
According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.
Hope it helps.
If you have any query, feel free to ask.
The speed of light is c=299,792,458m/s a. Write this value in scientific notation. b. What is the value of c to four significant figures?
Answer:
Explanation:
sci notation: 2.99792458 x 10^8
4 sig figs: 2.998 x 10^8
n mev/c, what is the magnitude of the momentum associated with a photon having an energy equal to the electron rest energy? what are the (b) wavelength and (c) frequency of the corresponding radiation?
The momentum associated with a photon having an energy equal to the electron rest energy is 0.511 MeV/c. The wavelength is 2.43pm and the frequency of the corresponding radiation is 1.24×10^20Hz
(a) The rest energy of an electron is given by E=mc^2
Thus the momentum of the photon is given as:
p = E/c = mc^2/c = mc where m is mass of electron = 9.11x10-31kg
p = 9.11x10-31x3x10^8 = 2.73x10-21kgm/s = 0.511 MeV/c
(b) the wavelength (λ) = h/p where h is planck's constant = 6.63×10−34Js
λ = 6.63×10−34/2.73x10-21 = 2.43×10−12m = 2.43pm
(c) the frequency of the corresponding radiation f =c/λ
f = 3x10^8/ 2.43×10−12 = 1.24×10^20Hz
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a goalkeeper catches a 491 g soccer ball traveling horizontally at 29.4 m/s. if it took 2,218 n of force to stop the ball, how much time did it take to stop the ball in ms?
The ball will take 2.551 seconds to reach its peak position.
How much time will the ball take to land?We must know how long the balls are in the air before we can predict where they will fall. It will take 2 seconds for both balls to touch the ground.
How quickly does a ball drop?The falling ball travels a distance of d = 12 9.8 (m/s2) t2, with a speed of v = 9.8 (m/s2) t as a function of time. The ball travels 4.9 m in a second. The falling ball's velocity is v = -9.8 (m/s2) t j, and its position is r = (4.9 m - 12 9.8 (m/s2) t2) j as a function of time.
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which three astrophysical objects have been very historically important as standard candles? group of answer choices supernova remnants type ia supernovae quasars wn type luminous blue variables rr lyrae variables cepheid variables red giant stars type ii supernovae
Cepheid Variable stars and RR Lyrae stars are the most often used standard candles in astronomy. The absolute magnitude of the star can be calculated from its variable period in both circumstances.
The international candle is used to measure the intensity of a light source. It was initially defined as a one-sixth-pound sperm wax candle burning at 120 grains per second. Astronomers use it today to determine the brightness of objects in the night sky.
A standard candle is a known object that does not need to be measured. A candle is a light source that emits a visible beam of light to the human eye. A standard candle is a type of astronomical objects, such as a supernova or a variable star, that has a recognized luminosity due to some characteristic property of the material it is formed of.
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Patient autonomy and free choice are morally correct. O Subjective Relativism O Moral Reasoning O Social Contract Ethics O Rule Utilitarianism
The Correct option is A. Patient autonomy and free choice are morally correct Subjective Relativism.
"Subjectivism" insists that the sole source of expertise or authority is inside the belief of the individual. "Subjective relativism," then, as a philosophical position, broadcasts that everyone is his personal authority on ethical lifestyles, and the source of his very own moral standards.
A superficially popular approach to ethics in America today is called "subjective relativism"; as it occurs, it violates each of those commitments, and has the impact (commonly supposed) of creating ethics not possible. To make the commitments clearer, it is able to be profitable examining the errors of this easy dogma.
"Relativism" denotes any technique to ethics that holds that there are no absolute or unchanging ethical principles, but that the regulations that govern every scenario are to be determined by way of their relation to something else: the customs or culture of the u. s ., for example, or the dreams of the contributors. "Subjectivism" insists that the sole source of knowledge or authority is within the notion of the man or woman. '
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A rifle is aimed horizontally at a target 45 m m away. The bullet hits the target 2.1 cm below the aim point.
What was the bullet’s flight time? (assume air resistance is 0)
What was the bullet’s speed as soon as it leaves the barrel?
The bullet's flight time with zero air resistance is 0.065s and the bullet speed as soon as it leaves the barrel is 692.3m/s.
How to calculate flight time and speed?To calculate flight time of the bullet we apply the formula [tex]h = \frac{1}{2} gt^{2}[/tex]
Where h = vertical displacement of bullet in meters, 2.1cm to 0.021m
g = is a gravitational constant of 9.8
t = time of flight in seconds
To find t =
[tex]t = \sqrt{\frac{2h}{g} }[/tex]
[tex]t = \sqrt{\frac{2 * 0.021}{9.8} }[/tex] = [tex]t = \sqrt{\frac{0.042}{9.8} }[/tex]
[tex]t = \sqrt{0.004286}[/tex]
t = 0.065s
For speed of bullet:
[tex]v = \frac{s}{t}[/tex]
Where v = velocity
s = horizontal distance/range of target, 45m
t = flight time in seconds, 0.065s
[tex]v = \frac{45}{0.065}[/tex]
v = 692.3m/s
The bullet's flight time on a horizontal target at 45m from the formula [tex]h = \frac{1}{2} gt^{2}[/tex] is 0.065s and using the time of flight to divide the range, the bullet leaves the barrel at a speed of 692.3m/s
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an 85.0-kg person steps into a car of mass 2400 kg, causing it to sink 2.35 cm on its springs. if started into vertical oscillation, and assuming no damping, at what frequency will the car and passenger vibrate on these springs?
An 85.0-kg person steps into a car of mass 2400 kg, causing it to sink 2.35 cm on its springs. if started into vertical oscillation, and assuming no damping, 0.60 Hz frequency will the car and passenger vibrate on these springs.
What is frequency?The quantity of waves that pass a set location in a predetermined period of time is known as frequency. As a result, if a wave travels for 1/2 second, the frequency is 2 per second. 100 times per hour is the frequency if it takes 1/100 of an hour.
Given that,
mass (m) = 85 kg
car of mass = 2400 kg
As we know,
m × g = kx
or, 85.0 × 9.8 = k × 2.35 × 10⁻²
or, k = (85.0 × 9.8 ) / (2.35 × 10⁻²)
or, k = 35,447 N/m
frequency (f) = 1 / 2 π [tex]\sqrt{k/m}[/tex]
or, f = [1 / 2π ] [tex]\sqrt{35447/(2400+85)}[/tex]
or, f = 0.60 Hz
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