Therefore, the image of the object 12 cm in front of the lens will appear approximately 1.71 cm behind the lens.
What are convex lenses?To determine the position of the image formed by a convex lens, we can use the lens formula:
[tex]1/f = 1/v - 1/u[/tex]
Where:
f is the focal length of the lens,
v is the distance of the image from the lens (positive for a real image on the opposite side of the lens),
u is the distance of the object from the lens (positive for an object on the same side as the incident light).
In this case, the focal length (f) is given as 3 cm, and the distance of the object (u) is 12 cm. We need to find the value of v.
Plugging the given values into the lens formula:
[tex]1/3 = 1/v - 1/12[/tex]
Multiplying through by 12v to get rid of the denominators:
[tex]4v = 12v - v(3)[/tex]
[tex]4v = 12 - 3v[/tex]
Combining like terms:
[tex]4v + 3v = 12[/tex]
[tex]7v = 12[/tex]
[tex]v = 12/7 ≈ 1.71 cm[/tex]
Since v is positive, the image is formed on the opposite side of the lens (real image). Therefore, the image of the object 12 cm in front of the lens will appear approximately 1.71 cm behind the lens.
None of the given options exactly match the calculated value, so none of the provided options is correct.
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The holding coil on a hydromatic propeller feathering button switch holds a solenoid relay closed that applies power to the propeller?
An electric propeller is powered by a solenoid relay that is kept closed by the holding coil on a hydromatic propeller feathering button switch. It is a kind of feathering pump motor.
What does it mean to feather an engine?
If an engine needs to be turned off, the feather is used. The blades are rotated during feathering such that the extent to which a leader is virtually pointing in the flying direction. The propeller's aerodynamic forces cause a low drag state in this position. It is composed of a solenoid relay.What is meant by solenoid relay?
A form of relay designed to wirelessly change a stronger current is called a solenoid. A coil is utilized to create an electromagnetic environment when power is transferred through it, similarly to the tiny motorized cube relays, that efficiently open or shut the circuit.
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What type of repetitions are completed with an intentionally reduced range of motion? Partial repetitions Full repetitions Loaded repetitions Bodyweight repetitions
The type of repetitions that are completed with an intentionally reduced range of motion is called Partial repetitions. That is option A.
What are repetitions in exercise?Repetitions in exercise is defined as a complete exercise movement done during a workout procedure.
The different types of repetitions include the following:
Partial repetitionsFull repetitions Loaded repetitions; andBodyweight repetitions.Partial repetitions are those types of repetitions that are carried out while removing some part of the range of motion in the exercise.
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The basic principle behind the simple DC motor is that wires that carry experience when placed in regions of space that have
The principle of DC motor is based on Fleming’s left hand rule. i.e., the current carrying wires experiences a force when placed in region of space that have magnetic field.
According to Fleming’s left hand rule Stretch the thumb, forefinger, and middle finger of the left hand until they are parallel to one another. If the thumb is pointing in the direction of motion, or the force acting on the conductor, and the middle finger is pointing in the direction of the magnetic field, the forefinger is pointing in the direction of current flow.
An armature revolves inside a magnetic field of a DC motor. A DC motor's fundamental operating concept is based on the idea that whenever a current-carrying conductor is positioned inside a magnetic field, that conductor will experience mechanical force.
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Using the Left Hand Rule, if current points up and
the field is toward you, which way does the motion
point?
A. Left
B. Down
c. Up
D. Right
Using the left hand rule, if current points up and the field is toward you, the motion points up.
What is the left hand rule?The left hand rule states that if the thumb, the fore finger and the middle finger are held mutually perpendicular to each other, the thumb points in the direction motion, the middle finger points in the direction of current while the fore finger points in the direction of the magnetic field.
Thus using the left hand rule, if current points up and the field is toward you, the motion points up.
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Supposing the half-life of element x to be 1 year, if you have a 100 gram sample of x, how much of element x would be left after 4 years? (do not use significant digits in answering this question.)
75 g
50 g
25 g
6.25 g
6.25 gram of element x would be left after 4 years.
What's half life of an element?Half - life is the time period of decay of an element to half of its initial number of nuclei.After n no. of half lives, no. of nuclei left in the sample is initial number of nuclei / 2^nWhat's the amount of 100 gm of element x left after 4 half lives ?Leftover amount of the element x = 100/2^4
= 100/16 = 6.25 gram
Thus, we can conclude that 6.25 gram of element x would be left after 4 years.
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the work done by the brakes during braking is equal to
Answer:
The amount of pressure delivered to them
Explanation:
How did the magma get from the volcanic center to the locations where the laccoliths formed?
Laccolith magma (molten rock) rising through the Earth's crust begins to spread out horizontally, prying aside the host rock strata.
Laccoliths are not unusual in the Pine Valley Mountain desert location close to St. George, Utah. The stress of the magma is high enough that the overlying strata are compelled upward, giving the laccolith its dome-like form.
A laccolith is a frame of intrusive rock with a dome-shaped top surface and a degree base, fed through a conduit from under. A laccolith bureaucracy when magma (molten rock) rising thru the Earth's crust starts to unfold out horizontally, prying aside the host rock strata. The stress of the magma is excessive enough that the overlying strata are pressured upward, giving the laccolith its dome-like form.
A laccolith is a type of igneous intrusion, shaped when magma forces its manner upwards via the Earth's crust however cools and solidifies before attaining the surface. Laccoliths are outstanding from other igneous intrusions by way of their dome-shaped upper floor and level base.
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The diagram shows a device that uses radio waves. Two radio towers. The towers are equal distance apart with an arrow between them. The left tower is labeled X. The right tower is labeled Y. The arrow is pointing from Tower X to Tower Y. What is the role of the part in the diagram labeled Y
capture, amplify, and demodulate waves
Question is incomplete and image is not attached in the question. The required image is attached below, so the complete question is:
What is the role of the part in the diagram labeled Y?
modulate, amplify, and send out waves
capture, amplify, and demodulate waves
change the amplitude and frequency of waves
change the pulse and phase of waves.
What are Radio wave?An example of electromagnetic radiation is radio waves. The wavelength of a radio wave is substantially greater than that of visible light. Radio waves are widely used by people for communication. Both rectangular and circular antennas are used by this radio tower to send and receive radio frequency energy.
The radio receiver, also known as component Y in the figure, is what captures, amplifies, and demodulates radio waves.
The radio receiver uses an antenna to separate the necessary radio frequency signals and consists of an amplifier to boost the strength of the receiving signal. The information from the modulated wave is ultimately recovered by demodulators found in receivers.
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Astronomers and physicists now believe they know what is happening to the missing neutrinos from the Sun (the neutrinos that our theories say should be emerging from the Sun, but our experiments in that underground mine could not find). These neutrinos are:
The missing neutrinos from the sun had merely tranformed into muon and tau neutrinos escaped detection.Hardly interacting with other matter,neutrinos comes in three different types electron,muon,and tau.
Hence option (b) turning into different type of neutrino in a neutrino oscillation is correct
Disclaimer:The question given on the portal is incomplete .Here is the complete question .
Question :Astronomers and physicists now believe they know what is happening to the missing neutrinos from the Sun (the neutrinos that our theories say should be emerging from the Sun, but our experiments in that underground mine could not find). These neutrinos are:
a)not being produced by the Sun because our star's nuclear fusion period has ended
b)turning into a different type of neutrino in a neutrino oscillation
c)being converted to antimatter in the core of the Sun and being destroyed as they hit matter
d)changing course before they reach the Earth as they hit other neutrinos in space
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The specification limits are 49 /- 3. Assume that the data is normally distributed! estimate process capability ratio’s (cp, cpk, pp, ppk). Is the process capable?
Estimate technique capability ratio (cp, cpk, pp, PPK) is Cp = 1.33 or greater. & Cpk price ≥ 1.33.
Cp, Cpk, Pp, and Ppk are all parameters (indices) that can help us to apprehend how our technique is working relative to the specs, or in different words, they degree how near our system is jogging to its specification limits. For necessities, we measure the process specs.
The Cp index is a fundamental indication of process capability. The Cp value is calculated using the specification limits and the same old deviation of the method. most agencies require that the method Cp = 1.33 or greater. Cp and Cpk, generally called technique functionality indices, are used to outline the ability of a technique to produce a product that meets necessities.
For stable tactics and normally distributed statistics, a Cpk price ≥ 1.33 should be executed. • For chronically unstable methods with output assembly specification and a predictable sample, a Ppk fee ≥ 1. sixty-seven have to be completed.”
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Provided following are four different ranges of stellar masses. Rank the stellar mass ranges based on how many stars in each range you would expect to be born in a star cluster, from highest number to lowest number.
Highest to lowest number:
-less than 1 solar mass
-between 1 and 10 solar masses
-between 10 and 30 solar masses
-between 30 and 60 solar masses
What is Stellar masses ?Stellar mass is a phrase that is used by astronomers to describe the mass of a star.
It is usually enumerated in terms of the Sun's mass as a proportion of a solar mass ( M ☉). Hence, the bright star Sirius has around 2.02 M ☉.Stellar masses are not fixed, although they change for single stars only on long periods.Learn more about Stellar masses here:
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what is Doppler effect
Doppler effect is the shift in frequency as the object gets near an object/person or far away from an object or person.
When the frequency of a police car is heard from far away, the frequency is low and long wave lengthsWhen the frequency of a police car is heard from near, the frequency is high and short-wave lengthsHope it helps!
A mass m is attached to an ideal massless spring. When this system is set in motion with amplitude a, it has a period t. What is the period if the amplitude of the motion is increased to 2a?.
Time period is T if increasing the amplitude to 2A
What is Time period?
The length of time during which an activity occurs or a condition remains.
The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.
Formula of Time period, T:
[tex]T = 2\pi \sqrt{\frac{M}{k} }[/tex]
Where,
k is the spring constant
mass of system = M
Amplitude = A
Time period = T
Here,
The amplitude is doubled = 2A
Since from the formula we can say that, The Time period is not dependent on amplitude.
Increasing the amplitude implies increase in the restoring force. An increase in the restoring force means the mass is now accelerated to cover more distance in the same period.
So the restoring force cancels the effect of the increase in amplitude.
Hence,
Time period is T if increasing the amplitude to 2A
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Critical heat flux of forced convective boiling in uniformly heated vertical tubes with special reference to very large length-to-diameter ratios
Critical heat flux of forced convective boiling in uniformly heated vertical tubes with special reference to very large length-to-diameter ratios.
The rate of heat energy moving through a surface is known as heat flux, and the heat flux density is the amount of heat flux per unit area (Wm2).
Temperature measurements are a key component of many industrial systems. Measurements of heat flux and heat transfer provide more details. A heat flow typically occurs in conjunction with a change in temperature. A clearer picture of what's happening can be obtained by measuring both quantities.
The amount of thermal energy emitted over a solid surface is known as heat flux, and its unit is W/m2. There are two methods for measuring heat flux. Either directly utilizing heat flux sensors or indirectly using temperature sensors
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Which orbitals do not have a node at the nucleus?
Answer:
The 1st orbital has no nodes.
Explanation:
A 2s orbital has 1 node and a 1s orbital has no nodes, therefore it is higher in energy than a1s orbital. Also, a 2s orbital is higher in energy because the radius is larger than for a 1s orbital and, therefore, the probability of finding an electron farther from the nucleus is greater in a 2s orbital.
The number of nodes is equal to (n-1) therefore, 1s-orbitals do not have any node at the nucleus.
What is a node?A node is a point where the probability of finding an electron is zero. For a given orbital, the two kinds of nodes are radial nodes and angular nodes.
A radial node is a spherical plane where the probability of finding an electron in an orbital is zero. The number of radial nodes increases with the principal quantum number (n) as it is given by (n- l - 1) and is also known as a nodal region.
An angular node is a plane that passes through the nucleus. The angular node is given by the azimuthal quantum number 'l' and is also known as a nodal plane.
The total number of nodes in orbitals is equal to n - 1. Therefore, the nodes in 1s -orbital (1-1) = 0.
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A power supply is connected to a 59 Ohm resistor and a 53 Ohm resistor in series. The total current is found to be 0.15 A. What is the voltage drop across the 53 Ohm resistor? Round your answer to 2 decimal places.
Answer:
the answer is 47265.dug
Explanation:
im bot sure
A standard rum and cola will be absorbed faster than a 5-ounce glass of wine because.
Absorption of Rum and cola:
A standard rum and cola absorb faster than a 5-ounce glass of wine because carbonation causes the pyloric valve to relax.
What are Rum and Cola:
The second-most common alcoholic beverage in the world is rum and coke, which is very well-liked. Its widespread availability, low cost, and ease of preparation are what contribute to its appeal. It is easy to prepare and challenging to destroy because it can be produced with any quantity or type of rum. Due to the pyloric valve's relaxation caused by carbonation, alcohol like rum and coke is often absorbed more quickly than 5 ounces of wine.Absorption is accelerated by carbonation. Alcohol will enter the bloodstream more quickly when combined with carbonated drinks like Coca-Cola or tonic water.Learn more about the alcoholic beverages here,
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compare and contrast the medical understanding of death (that you have read about and learned about in this chapter) and the popular, typical understanding of death. this is chapter 11 for forensics
The medical understanding of death is related to the scientific approach, and the popular understanding is related to the inclusive spiritual and cultural approaches.
What is death for science?Death occurs when an individual's cardiorespiratory and brain functions cease due to some factor, thus ending his life.
Popular understanding, on the other hand, is aligned with scientific knowledge, but it is also encompassing cultural and religious teachings, which define topics not proven by science, such as life after death for example.
Therefore, death is a delicate topic for society, and spirituality is the basis found for greater emotional comfort in individuals who suffer significant losses of loved ones.
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A cylindrical region of radius R contains a uniform magnetic field, parallel to its axis, with magnitude that is changing linearly with time. If r is the radial distance from the cylinder axis, the magnitude of the induced electric field inside the cylindrical region is proportional to:
The induced electric field inside the cylindrical region is directly proportional to r
What is the electric field?
An electric field is the physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field.
When a loop of wire is placed in a time-varying magnetic field, an induced electric field arises. This induced electric field allows the flow of current in the loop. There is no potential associated with this induced electric field.Here. a magnetic field with magnitude linearly varies with time.
Radial distance = r
Area of this region, A = π*r^2
Let the induced electric field be E.
Magnetic flux:
∅(B) = B*A
Let the magnetic field be kt,
where k is some constant and t is time.
(B) = kt * (πr^2)
Using Maxwell's equation of electromagnetism,
[tex]\int\limits^a_b {E} \, dr = -\frac{d∅}{dt}[/tex]
[tex]E* 2\pi r = - \frac{d}{dr}(\pi k tr^{2} )[/tex]
[tex]E*2\pi r = -\pi kr^{2}[/tex]
[tex]E = - \frac{kr}{2}[/tex]
Hence
E ∝ r
The induced electric field is directly proportional to r
So, option 2 is correct.
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Earth orbits the sun at an average circular radius of about 149.60 million kilometers every 365.26 Earth days.
a) Determine the Earth’s average orbital speed expressed in kilometers per hours.
b) Based on the information given in this question, calculate the approximate mass of the Sun.
The Earth’s average orbital speed is 107226 Km/hr and the mass of the sun is 2.6 x [tex]10^{24}[/tex] Kg
What is angular speed ?
Angular speed is the rate of change of the angle turned through by the body with time taken. That is W = Ф / T
And the relationship between linear speed and angular speed is V = wr
Where
V = Linear speedW = Angular speedr = RadiusGiven that the earth orbits the sun at an average circular radius of about 149.60 million kilometers every 365.26 Earth days.
a) To determine the Earth’s average orbital speed, we will make use of the below formula to calculate angular speed
W = 2[tex]\pi[/tex]/T
W = (2 x 3.143) / (365.26 x 24)
W = 6.283 / 876624
W = 7.2 x [tex]10^{-4}[/tex] Rad/hr
The Earth’s average orbital speed V = Wr
V = 7.2 x [tex]10^{-4}[/tex] x 149.6 x [tex]10^{6}[/tex]
V = 107225.5 Km/hr
b) Based on the information given in this question, to calculate the approximate mass of the Sun, we will use Kepler's 3rd law
M = (4[tex]\pi ^{2}[/tex][tex]r^{3}[/tex]) / G[tex]T^{2}[/tex]
M = (4 x 9.8696 x 3.35 x [tex]10^{24}[/tex] ) / (6.67 x [tex]10^{-11}[/tex] x 7.68 x [tex]10^{11}[/tex])
M = 1.32 x [tex]10^{26}[/tex] / 51.226
M = 2.58 x [tex]10^{24}[/tex] Kg
Therefore, the Earth’s average orbital speed is 107226Km/hr approximately and the mass of the sun is 2.6 x [tex]10^{24}[/tex] Kg
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The large, roughly circular, dark, and somewhat younger regions on the moon are called?
The large, roughly circular, dark, and somewhat younger regions on the moon are called Maria.
What is Maria?Lunar Maria are large, dark, basaltic plains on Earth's Moon. It was created by an ancient asteroid impacting the Moon on the far side and triggering some volcanic activity on the opposite side.
These are vast basins containing lava flows that are marked by craters, ridges, faults and straight and immersed valleys called rills. They are waterless. There are about 20 major areas of this type. Most of which include the largest located on the side of the Moon that always faces Earth.
These maria were the result of the melting and eruption of basaltic lava on the lunar surface 3.8 to 2.8 billion years ago. This type of lava was highly fluid under the Moon's weak gravitational field and spread over vast distances.
Thus, the large, roughly circular, dark, and somewhat younger regions on the moon are called Maria.
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A 78 N block is supported by a spring whose constant is 12 N/m. Calculate the elongation of the spring under this load.
Group of answer choices
a. 7.2 m
b. 6.5 m
c. 8.2 m
d 1.5 m
The elongation of the spring under this load is 6.5 m (Option B)
Data obtained from the questionForce (F) = 78 NSpring constant (K) = 12 N/mElongation (e) = ?How to determine the elongation of the springThe elongation of the spring can be obtained as illustrated below:
F = Ke
Divide both sides by K
e = F / K
e = 78 / 12
e = 6.5 m
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Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s power?
Group of answer choices
a. 1,300 W
b. 6,800 W
c. 130 W
d. 680 W
Martha's power is 1,300 W and is denoted as option A.
What is Power?This is defined as the amount of energy used or transferred per unit time and the S.I unit is Watts.
Power = Work/ time
Work = force × distance
= F = ma = 75kg× 10m/s² = 750N
Work = 750N × 4m = 3000J
Power = work/time = 3000J/ 2.3s ≈ 1300W
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Red laser light passes through a single slit to form a diffraction pattern. If the width of the slit is increased by a factor of two, what happens to the width of the central maximum?
If the width of the slit is increased by a factor of two , then the central maxima will get decreased by half.
since , width of the central maxima is inversely proportional to the width of the slit . Which implies if width of the slit get increased then width of the central maxima will get decreased and vice versa.
central maxima = (2 * wavelength * D) / width of the slit
= (2 * lambda * D) / d
if initially width of the slit = d
then, after increasing it by a factor of two it become = 2d
central maxima = (2 * lambda * D) / 2d
= (lambda * D) / d
If the width of the slit is increased by a factor of two , then the central maxima will get decreased by half.
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Read the following questions and answer them using complete sentences. Be sure to fully explain your answers.
What can be the challenges of wave power? Is it a reliable source of energy?
Wave power can be regarded as a reliable source of energy because the ocean currents are always moving.
What can be the challenges of wave power?Wave power is a device that can be used to convert the mechanical energy of the ocean waves into electrical energy based on the principle of conservation of energy.
The major challenges that face the use of wave power in electricity generation is the unreliability of the waves which leads to uncertainty in the quantity of power generated Also, the wave direction and direction of ocean currents all limit the amount of power generated by this method. However, in spite of challenges, it can be regarded as a reliable source of energy because the ocean currents are always moving.
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There may be installations where grounded conductors of different systems are installed within the same raceway, cable, or box. In these cases, it's imperative that the system-grounded conductors remain
A. separated.
B. disconnected.
C. spliced.
D. buried.
It is imperative that the system-grounded conductors remain buried and is denoted as option D.
What is a Conductor?This is referred as a substance which allows electricity and heat to flow through it and examples include metals.
These conductors have to be buried so as to prevent the risk of contact and electrocution of individuals thereby making it a safe method.
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A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t. If the area of the loop decreases at a rate of 3. 0 × 10-3 m2/s, what is the induced emf in the loop?
The induced emf in the loop is -1500 μ V or - 0.0015 V .
According to the question
A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t.
i.e
Magnetic field (B) = 0. 50 T
Area of circle or loop = [tex]\pi r^{2}[/tex]
Now,
The area of the loop decreases at a rate of 3. 0 × 10⁻³ m/s
i.e
dA = 3. 0 × 10⁻³ meter²
dt = 1 sec
As per the formula of Induced e.m.f in the loop
emf is dependent on number of turns of coil, shape of the coil, strength of magnet and speed with which magnet is moved. Emf is independent of resistivity of wire of the coil.
[tex]e=-B*\frac{dA}{dt}[/tex]
where A is the area of the loop.
Now ,
Substituting the values in the formula
[tex]e=-B*\frac{dA}{dt}[/tex]
[tex]e= - 0.50 *\frac{ 3 * 10^{-3}}{1}[/tex]
e = - 0.0015 V
OR
e = -1500 * 10⁻⁶ V
e = -1500 μ V
Negative just signifies emf will such be induced that current induced will oppose change in magnetic field though it
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At a certain time a particle had a speed of 80 m/s in the positive x direction, and 9.8 s later its speed was 20 m/s in the opposite direction. What was the average acceleration of the particle during this 9.8 s interval
The average acceleration of the particle in the time interval of 9.8 s is 10.204 m/s² opposite to the direction of motion.
Given:
Speed of particle, v₁ = 80 m/s (in positive x-direction)
Speed of particle, v₂ = -20 m/s (in opposite direction)
Time interval, Δt = 9.8 s
Calculation:
We know that, the average acceleration is given as:
a_avg = (v₂ - v₁)/ Δt - ( 1 )
Applying values in above equation we get:
a_avg = (v₂ - v₁)/ Δt
= (-20 m/s - 80 m/s) / (9.8 s)
= -10.204 m/s²
Therefore the average acceleration of the particle in the time interval Δt is 10.204 m/s² opposite to the direction of motion.
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The 0.20 kg puck on the frictionless, horizontal table in the figure is connected by a string through a hole in the table to a hanging 1.20 kg block.(Figure 1)
The speed with which the puck must rotate in the circular path is 5.42 m/s.
Speed of the puck in circular pathThe speed of the puck is calculated as follows;
centripetal force = weight of hanging mass
mv²/r = W
where;
W is weight of the hanging massm is mass of the puckr is radius of the circular pathv² = Wr/m
v² = (1.2 x 9.8 x 0.5) / (0.2)
v² = 29.4
v = √29.4
v = 5.42 m/s
Thus, the speed with which the puck must rotate in the circular path is 5.42 m/s.
The complete question is below:
With what speed must the puck rotate in a circle of radius 0.50 m if the block is to remain hanging at rest?
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A formula for the normal systolic blood pressure for a man age a , measured in mmhg, is given as p=0. 006a2−0. 02a 120. Find the age of a man whose normal blood pressure measures 123 mmhg
The age of a man whose normal blood pressure measures 123 mm of hg
9 years
What is Quadratic equation ?A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = a[tex]x^{2}[/tex] + bx + c, where a, b, and c are numbers and a cannot be 0
P(A) = 0.006 [tex]a^{2}[/tex] - 0.02a + 120
123 = 0.006- 0.02a + 120
0=0.006 [tex]a^{2}[/tex] - 0.02a - 3
you can use the quadratic equation formula to solve for the man's age.
A = (-b ± ([tex]\sqrt{b^{2} - 4*a*c}[/tex]) ) / (2a)
A = (0.02 ± [tex]\sqrt{(-0.02)^{2} - 4*0.006*(-3)}[/tex]/ (2*0.006)
A = (0.02 ± [tex]\sqrt{0.0076}[/tex]) / 0.012
A = 9 , -5.67
Age of the man will be 9 years
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