Answer:-An echo is heard sooner on a hot day because the speed of sound in air increases with temperature. So the speed of sound in air is more on a hot day, and an echo is heard sooner. The velocity of sound in a gas is directly proportional to the square root of its absolute temperature (v=MρRT ). Since, temperature of a hot day is more than cold winter day, therefore sound would travel faster on hot summer day than on a cold winter day. A reduction in pulse-echo amplitude was observed at all temperatures in the range and was found to be proportional to temperature increase. Sound wave speed is dependent on air temperature. Sound waves move faster in warmer temperatures and slower in colder temperatures. During the day, temperatures are warmest near the surface and cool off with height. This is known as a lapse rate. Due to the high energy of atoms on a hot day, sound travels faster compared to a cold day, where atoms don't have much energy to vibrate freely. Therefore, an echo will return more quickly on a hot day than on a cold day.
what will a spring scale read for the weight of a 55-kg woman in an elevator that moves (a) upward with constant speed of 6.0 m s,
if you're already moving at 3 m/s2, you add it to gravity (9.8) to get 12.8, or 9.8+3. Apply Hooks' Law F=K*X. Force given that K=2700 n/m, and since, F=ma, F=60*12.8=768N. ΔX=F/K 768/2700= .284m
What force is at play when you attach something to the spring scale?The gravitational pull of an object's mass determines its weight. A spring balance is what we use to assess weight. When weight is linked to a spring balance, the downward force will stretch the spring inside the balance since weight is the downward force that arises from the pull of gravity on an object.
Can you use a spring balance to measure weight?A simple and affordable way to determine mass is by using spring balances. The mass is suspended from the end of the spring, and the spring's deflection as a result of the mass's downward gravitational pull is measured in relation to a scale.
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A neutron star is as dense as: a. styrofoam b. water c. The Nucleus of an Atom d. A white dwarf star e. The center of the Earth
A neutron star is as dense as The Nucleus of an Atom . Option C is correct.
What is a neutron star?The collapsing core of a large supergiant star with a total mass of between 10 and 25 solar masses—possibly even more if the star was very metal-rich—is what we refer to as a neutron star. Neutron stars are the tiniest and densest class of stellar objects currently known, with the exception of black holes and other hypothetical phenomena.
When a big star runs out of fuel and collapses, neutron stars are created. The core of the star, which is its most central portion, collapses, fusing every proton and electron into a neutron.
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how much excess charge must be placed on a copper sphere 25.0 cmcm in diameter so that the potential of its center is 3.75 kvkv ?
Excess charge must be placed on a copper sphere = 4.167 x 10^(-8) C
The potential is the same within and equal to the potential outside, as if the charge were concentrated in the center, at all places. At infinity, there is no potential.
From the question, we have
kq/r = 1.5 x 1000
q = 1500r/k
= 1500*(0.25)/9x10^9 C
= 4.167 x 10^(-8) C
Electric potential :
The amount of work required to convey a unit of electric charge from a reference point to a given place in an electric field is known as the electric potential (also known as the electric field potential, potential drop, or the electrostatic potential).
Complete question:
How much excess charge must be placed on a copper sphere 25.0 cm in diameter so that the potential of its center, relative to infinity, is 3.75 kv?
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what is the angular-momentum quantum number, ℓ, for the orbital shown here?
The orbital form of an electron is generally described by the angular momentum quantum number, denoted by the letter l. The value of the main quantum number, n, determines the value of l.
How can the orbital angular momentum L be determined?The sum of the orbital angular momenta from each electron creates the total orbital angular momentum, which has a magnitude of square root of L(L + 1) (L), where L is an integer.
How is the angular quantum number L calculated?Therefore, using the equation l=n1 l = n 1 and knowing the main quantum number, it is easy to determine the angular momentum quantum number. According to this statement, the primary quantum number will never be greater than the azimuthal quantum number.
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a uniform magnetic field is applied perpendicular to the plane of a 60-turn circular coil with a radius of 6.0 cm. if the magnetic field increases uniformly from 0.20 t to 1.8 t in 0.20 s, what is the magnitude of the emf induced in the coil?
When uniform magnetic field is applied perpendicular to the plane of a 60-turn circular coil with radius of 6.0 cm, then magnitude of induced EMF,∣ε∣ is calculated to be =5.425 V.
What is magnetic flux?Magnetic flux is directly proportional to magnetic field and area of the flux that passes through it. Area remains same as the magnetic flux increases by increasing the magnetic field.
ϕ=BAcosθ
As the surface is perpendicular to the field then angle is zero.
So, ϕ=BA
The change in magnetic flux is,
dФ/dt= A (dB/dt)
Here, A is area and is constant.
Area of the circular coil is πr²
The change in magnetic flux:
dФ/dt= πr²(dB/dt)
Here, r is the radius.
Given magnetic field increases from 0.20 T to 1.8 T in 0.20 s.
dФ/dt= π6²* ( 1.8-0.8)/0.2
= 0.090 T/s
EMF, ε=−Ndϕ /dt
As dϕ /dt = 0.090432T/s
Now, ε=−(60)(0.090432T/s)
ε =5.425 V
Magnitude of induced EMF,
∣ε∣=5.425 V
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you are at a furniture store and notice that a grandfather clock has its time regulated by a physical pendulum that consists of a rod with a movable weight on it. when the weight is moved downward, the pendulum slows down; when it is moved upward, the pendulum swings faster. if the rod has a mass of 1.23 kg and a length of 1.25 m and the weight has a mass of 0.50 kg located a distance of 1.00 meters from the top of the pendulum, what will the period be?
The separates the attached mass from the pendulum's peak.
The moment of inertia of an item is the opposite of its angular acceleration. Moment of inertia is influenced by mass and gyrating radius, respectively. The moment of inertia can be altered by modifying the rotational axis.
Moment of inertia: The phrase "moment of inertia" refers to a physical quantity that measures how resistant a body is to having the direction of a torque change the speed at which it rotates along an axis (turning force).
Complete question:
You are at a furniture store and notice that a Grandfather clock has its time regulated by a physical pendulum that consists of a rod with a movable weight on it. When the weight is moved downward, the pendulum slows down; when it is moved upward, the pendulum swings faster. If the rod has a mass of 1.23kg and a length of 1.25m and the weight has a mass of 1.36kg, where should the mass be placed to give the pendulum a period of 2.00 seconds? Measure the distance in meters from the top of the pendulum.
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the absolute value of the slope of the production possibility frontier at any point:
The absolute value of the slope of the production possibility frontier at any point gives the quantity of the good on the vertical axis that must be given up producing an additional unit of the good on the horizontal axis. (Option C)
The marginal rate of transformation (MRT) enables the economists to evaluate the opportunity costs to produce one extra unit of something. MRT refers to the absolute value of the slope of the production possibility frontier. The production possibility frontier (PPF) refers to a curve on a graph that demonstrates the possible quantities that can be produced of two products if both depend upon the same finite resource. For each point on the frontier displayed as a curved line, there is a different marginal rate of transformation, and this rate is based on the economics of producing the two goods. Hence, MRT is equal to the opportunity cost of an additional unit of the good on the horizontal axis.
Note: The question is incomplete as it is missing options which are A) gives the autarky price of the good on the vertical axis. B) is found by dividing the horizontal change by a vertical change. C) gives the quantity of the good on the vertical axis that must be given up to produce an additional unit of the good on the horizontal axis. D) gives the autarky price of the good on the horizontal axis relative to the autarky price of the good on the vertical axis.
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find the total energy delivered before the blink reflex shuts the eye.
The total energy delivered before the blink reflex shuts the eye is [tex]$2.5 \times 10^{-4} \mathrm{~J}$[/tex].
What is total energy ?
Total Energy is the sum of all final energy used at a certain branch or variable. Because energy data is recorded directly rather than as the result of an activity level and an energy intensity, total energy may be distinguished from final energy intensity.
The expression for the total energy delivered is given as,
E = Pt
Solving as,
[tex]\begin{aligned}& E=1 \times 10^{-3} \times\left(250 \times 10^{-3}\right) \\& E=2.5 \times 10^{-4} \mathrm{~J}\end{aligned}[/tex]
Thus, the total energy delivered before the blink reflex shuts the eye is [tex]$2.5 \times 10^{-4} \mathrm{~J}$[/tex].
Complete question: Lasers are classified according to the eye-damage danger they pose. Class 2 lasers, including many laser pointers, produce visible light with no greater than 1.0 mW total power. They're relatively safe because the eye's blink reflex limits exposure time to 250 ms.
Find the total energy delivered before the blink reflex shuts the eye.
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a vertical straight wire 40.0 cm in length carries a current. you do not know either the magnitude of the current or whether the current is moving upward or downward. if there is a uniform horizontal magnetic field of 0.0400 t that points due north, the wire experiences a horizontal magnetic force to the west of 0.0140 n . find the magnitude of the current.
The Magnitude of current is 0.087A.
Given- length of line = 40 cm = 0.4 m
Livery magnetic field = 0.04 Tesla
magnetic force = 0.0140 N
Direction of inflow of current is unknown.
To cipher the magnitude of current we can employ following equation-
Force = LBi
where this force is called Lorentz force.
This is net magnitude of force to offset the magnetic effect as per faraday.
L, B, i represents length of the line, magnetic field and current factor.
Just substituting the values.
= 0.400 *0.4 * i
i = 0.087 A
Therefore, the current produced by the force is 0.087A
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two blocks of masses m and 3 m are placed on a horizontal, frictionless surface. a light spring is attached to one of them, and the blocks are pushed together with the spring between them. m 3m m 3m before after (a) (b) v a cord holding them together is burned, after which the block of mass 3 m moves to the right with a speed of 2.06 m/s. what is the speed of the block of mass m? answer in units of m/s
V1f= -6.75 m/s (left),original elastic potential energy = 12.7575 J,The original energy is in the Spring,In bursting-apart process, The conservation of momentum is Holds.
(a) Mass of the first block, M
Mass of the second block, 3M
final speed of the second block, V2f =2.25 m/s
Before the cord burns, both masses are in rest oposition,
Hence, initial speed of then m is 0,
They are V1i, V2i = 0 m/s
Hence, by conservation of momentum,
MV1i + 3MV2i = MV1f + MV2f
M(0) + 3M (0) = MV1f + 3M (2.25 m/s)
V1f= -6.75 m/s (left)
(b) Kinetic energy of the system,
K.E = 1/2 MV1f2 + 1/2 3M V2f2
=1/2 (0.420 kg)(6.75 m/s)2+1/2(1.26)(2.25 m/s)2 (given, M = 0.420 kg)
=9.568125 J + 3.189375 j
=12.7575 j
According to conservation of energy,
The loos of kinetic energy is used to gain in original elastic potential energy
Hence, original elastic potential energy = 12.7575 J
(c) Since the spring stores the potential energy,
The original energy is in the Spring
(d) In bursting-apart process, The conservation of momentum is Holds.
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determine which integers in the set s:(-32 -8 16 32) will make the inequailty
The number m has the ability to make the inequality true = -8
What is an inequality ?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
Inequalities which are commonly used are as follows :
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The integer that will make the inequality true is m = -8
(1/4)(m - 4) ≤ (1/8)(m - 16)
1/4 x -12 ≤ 1/8 x -24
-3 ≤ -3
According to the given information
We have,
One-fourth times the difference between m and four is less than or equal to one-eighth times the difference between m and sixteen
This can be written as,
(1/4)(m - 4) ≤ (1/8)(m - 16)
The value at which the inequality will be true.
S = {−32, −8, 16, 32}
We will check each value.
m = -32
1/4 x -36 ≤ 1/8 x -48
-9 ≤ -4
Not true
m= -8
1/4 x -12 ≤ 1/8 x -24
-3 ≤ -3
True
m = 16
1/4 x 12 ≤ 1/8 x 0
3 ≤ 0
Not true
m = 32
1/4 x 28 ≤ 1/8 x 16
7 ≤ 2
Not true
Thus,
The number m has the ability to make the inequality true = -8
(1/4)(m - 4) ≤ (1/8)(m - 16)
1/4 x -12 ≤ 1/8 x -24
-3 ≤ -3
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Collisions in Saturn’s Rings : Each of the particles in the densest part of Saturn’s rings collides with another particle about every 5 hours. If a ring particle survived for the age of the solar system, how many collisions would it undergo ?
The ring particle would undergo roughly 8.3 trillion collisions over that period of time.
The age of the solar system is estimated to be 4.6 billion years. This means that a ring particle would undergo roughly 8.3 trillion collisions over that period of time. To calculate this number, we can use the following formula:
Number of collisions = Time (in hours) / Time between collisions (in hours) x Number of years
Number of collisions = 4.6 x 109 (years) x 24 (hours/day) x 365.25 (days/year) / 5 (hours)
Number of collisions = [tex]8.3 * 10^{12}[/tex] (collisions)
Therefore, the number of collisions in the ring are
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the specific heat capacity of aluminum is about twice that of iron. Consider two blocksof equal mass, onemade of aluminum and the other one made of iron, initially in thermal equillibrium. when the two materials have reached thermal equilibrium, the block of aluminum is cut in half in equal quantities of heat are added to the iron block and to each portion of the aluminum block. which of the following statements is true? a)the three block are no longer in thermal equilibrium, the iron block is warmer b)the three blocks are no longer in thermal equilibrium, both aluminum blocks are warmer c)the three blocks remain in thermal equilibrium
The statement which is true for three blocks is c)the three blocks remain in thermal equilibrium. So, correct option is c.
Specific heat capacity or warm limit is an actual property of issue, characterized as how much intensity to be provided to an item to deliver a unit change in its structure. The SI unit of intensity limit is joule per kelvin (J/K).
Two actual frameworks are in thermal equilibrium in the event that there is no net progression of nuclear power between them when they are associated by a way penetrable to warm. Warm harmony submits to the zeroth law of thermodynamics. A framework is supposed to be in warm harmony with itself on the off chance that the temperature inside the framework is spatially uniform and transiently consistent.
The reason behind of being in thermal equilibrium state is because specific heat capacity depends on the type of material or we can it depends on the property of the material by which it is made, but not on orientation of the material how it is placed.
Hence, option c is correct.
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9. 2076 Set B Q.No. 9b Two galvanometers, which are otherwise identical; are fitted with different coils. One has coil of 50 turns and resistance 1022 while the other has 500 turns and a resistance of 6002. What is the ratio of the deflection when each is connected in turns to a cell of e.m. 25 V and internal resistance 50 ohms?
The ratio of the deflection when each is connected in turns to a cell of e.m.f 25 V and internal resistance 50 ohms is 13: 12
What is internal resistance?Internal resistance can be described as the resistance within a battery, or other voltage source, that causes a drop in the source voltage when there is a current.
The parameters given are :
Coil 1 = 50 turns
Coil 2 = 500 turns
Resistance 1 = 1022
Resistance 2 = 6002
Internal resistance = 50 ohms
Emf = 25v
I = 25/ 50+ 10
I = 25/60
I = 5/ 12 A
[tex]I_{2}[/tex] = 25/50+ 600
= 25/ 650
= 5/ 130 A
The ratio of the deflection when each is connected in turns to a cell of e.m. 25 V and internal resistance 50 ohms =
Q1/ Q2
Q1 = N1 x B x [tex]I_{1}[/tex] / c
Q2 = N2 x B x [tex]I_{2}[/tex] / c
therefore Q/ Q2 = (50 x 5/12 )/ (500 x 5/130)
Q1 / Q2 = 12/ 13 which 13: 12
Therefore, The ratio of the deflection when each is connected in turns to a cell of e.m. 25 V and internal resistance 50 ohms is 13: 12.
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what is a wave frequency? a. the loudness of a wave as it travels though the air b. the speed that a wave is passed from particle to particle through a medium c. the height of a wave between peak and trough d. the number of waves that pass a fixed point in a fixed period of time
The quantity of waves that pass a set location in a predetermined period of time is known as frequency. Therefore, if a wave passes through in half a second, the frequency is 2 per second. The frequency is 100 times per hour if it takes 1/100 of an hour.
This quiz asks, "What is the frequency of a wave?
The quantity of waves emitted by a source per second is known as the frequency of a wave. It is also the quantity of waves per second that pass a specific spot.
In a nutshell, what is the frequency of a sound wave?
The frequency of the wave is the total number of waves generated in one second. Frequency refers to the number of vibrations measured each second. Here is an easy illustration: The frequency of the waves will be 5 hertz (Hz), or 5 cycles per second, if five full waves are created in one second.
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what assumptions are made in olbers' paradox? the universe is uniformly filled with stars. the universe is finite. the universe is infinite and uniformly filled with stars. the universe is finite and uniformly filled with stars. the universe is infinite.
In Olbers' paradox, it is assumed that the distribution of stars is uniform rather than just infinitely large. That implies a stable density, which translates to the same infinity.
Density is defined as the ratio of mass to volume, or mass per unit volume. It is a way to quantify how much "stuff" an object has in relation to its volume (cubic metre or cubic centimeter). A measurement of how closely matter is packed together is called density. Greek scientist Archimedes is credited with discovering the density principle. Olbers' dilemma, commonly referred to as the "black night sky conundrum," is a claim made in astrophysics and physical cosmology that the absence of light in the night sky contradicts the idea of an everlasting, unchanging cosmos.
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the warning tag on a lawn mower states that it produces noise at a level of 85 db. what is the intensity of this in watts per meter squared?
The energy density (energy per unit volume) at a given location in space can be calculated by multiplying it by the energy's velocity. The units of power are split by the resulting vector's area.
What is an illustration of intensity?
The degree, volume, or magnitude of something is its intensity. Examples include fire, emotion, weather, work, or passion. The word "intensity" is occasionally linked to fervor, fire, and violence. It is employed when describing the intensity of something like a flame or possibly a love affair.
What is the level of scientific rigor?
The intensity of a wave is the amount of energy it transports over a surface in a unit of time and area. It is also equal to the energy density times the wave speed. Watts per square meter are typically used to measure it. A wave's strength and amplitude will affect intensity.
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A 70.0 kg person leaps from a bridge in with a bungee cord attached and falls 120 meters. If the bungee cord stretches 2.5 meters during the stopping process, what’s its force constant (k)?
The force constant of the bungee cord when a person of mass 70 kg leaps on a bridge with it is 219.52 N/m.
What is force constant?The force constant or spring constant is a measure of the stiffness of a spring. It is the force per unit deformation of the spring. Its SI unit is N/m.
To calculate the force constant of the bungee cord, we use the formula below.
Formula:
K = 2mgh/e²............. Equation 1Where:
K = Force contant of the bungee cordm = Mass of the persong = Acceleration due to gravityh = Height at which the person falle = extensionFrom the question,
Given:
m = 70 kgg = 9.8 m/s²h = 120 me = 2.5 mSubstitute these values into equation 1
K = (2×70×9.8/2.5²)K = 219.52 N/mHence, the force constant of the bungee cord is 219.52 N/m.
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why is the small, faint, very distant galaxy shown here (arrow) bright at infrared but not detectable at visible-light wavelengths? an infrared image shows a very bright object in the center of a field of dimmer round and oblong objects. an inset shows that next to the very bright object is a particularly small, dim object. the visible light emitted by this galaxy is redshifted into the infrared. long ago galaxies were much cooler than they are now. because it contains only very hot stars. infrared detectors are more efficient at counting photons than visible light detectors. because intergalactic dust absorbs all the visible light.
This galaxy's visible light has its infrared emissions redshifted. Is the little, dim, far-off galaxy depicted here (arrow) brilliant in the infrared yet invisible to the human eye?
Exactly what hue has the longest wavelength?Red light, which has the longest wavelength in the spectrum, is on one end. The shortest wavelength of light is blue or violet. Each colour in the colour spectrum is present in white light. It is a rainbow's worth of hues.
Which 6 lights are present?The resulting sunlight is divided into the range of colours that are visible. Airborne water vapour serves also as refractive medium in this scenario, which results in a rainbow. The acronym "Roy G Biv" can be used to remember the sequence of wavelengths for red, orange, yellow, green, blue, cyan (the blue/violet border), and violet.
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in an oscillator consisting of a spring and a block, the amount of elastic potential energy is at its maximum when:
For 1/4 value of r is the potential energy equal to the total energy.
What is potential energy?Potential energy is the form of energy that a object gain.
first want to find the value of our, what value of R is the potential energy equal to the total energy? So you are is equal to negative 1/4 pi epsilon naught E squared over R. Which is the potential energy. And E. This is a total energy. So we just set these two values equal to each other. So negative 1/4 pi epsilon naught E squared over R. Is equal to negative M. E. To the fourth divided by eight E squared and squared each squared and R is equal to two. So we can go ahead and solve this. We get R. Is equal to two. Absolutely not H squared divided by pi M. R. E squared. And actually this is just two times A. So the radius is to a. Now part B. We want to find the probability of electron being found in this classically forbidden forbidden region are greater than the classical turning point. So we need, so first of all let's look at the ground state wave function which is one over squared pi a cubed times E. To the negative are over A. This is what will be needed to integrate to find the probability. So the probability goes from R. is equal to two way to sigh.
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a thick copper wire connected to a voltmeter surrounds a region of time-varying magnetic flux, and the voltmeter reads 5 volts. if instead of a single wire we use a coil of thick copper wire containing 24 turns, what does the voltmeter read?
If instead of a single wire we use a coil of thick copper wire containing 24 turns, then the voltmeter reads 120 V.
What is voltmeter?A voltmeter is also known as a voltage meter. It is an instrument used for measuring the potential difference or voltage between two points in an electrical circuit.
Emf of a solenoid is given by formula:
E= - N (dФ/dt)
Where,
N is Number of turns;
Ф is Magnetic flux and t is time taken
The negative sign indicates the direction of flow or polarity.
It can be seen clearly that the induced emf is directly proportional to the number of turns.
So, if the initial voltage is given 5 volts at a set number of 24 turns, the voltmeter reads:
= E *N
= 5 * 24
Voltmeter reads = 120 volts.
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Which of the following is the half life of first order reaction
A. t1/2 = A0/2k
B. t1/2 = 0.693/2k
C. t1/2 = 2k
D. t1/2 = 0.693/k
A first order reaction has a half-life of t1/2 = 0.693/k. When the rate and reactant concentration are inversely correlated, a reaction is referred to as a first-order reaction.
Give an illustration of first order answer:
First-order reactions frequently happen. Aspirin hydrolysis and the interaction of t-butyl bromide with water to form t-butanol are examples of first-order reactions. Another process with apparent first-order kinetics is the hydrolysis of the antitumor drug cisplatin.
First and second order reactions: what do they signify?
The rate of a first-order reaction is influenced by the concentration of one of the reactants. The second-order reaction rate is determined by the square of the concentration of a reactant or by the product of the concentrations of two reactants.
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a person, sunbathing on a warm day, is lying horizontally on the deck of a boat. her mass is 59.5 kg, and the coefficient of static friction between the deck and her is 0.566. assume that she is moving horizontally, and that the static frictional force is the only force acting on her in this direction. (a) what is the magnitude of the static frictional force when the boat moves with a constant velocity of 8.16 m/s? (b) the boat speeds up with an acceleration of 1.00 m/s2, and she does not slip with respect to the deck. what is the magnitude of the static frictional force that acts on her? (c) what is the magnitude of the maximum acceleration the boat can have before she begins to slip relative to the deck?
a) since a=0 therefore, friction force =0
b) friction = 59.5 × 1 =59.5 N.
c)maximum acceleration = 0.566 × g =5.54 m/s².
What is Friction force?The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. There are various kinds of friction: Two solid surfaces in touch are opposed to one another's a relative lateral motion by dry friction.
What is acceleration?Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities. The direction of the net force acting on an object determines the direction of its acceleration.
Hence, (a) since a=0 therefore, friction force =0, (b) friction = 59.5 × 1 =59.5 N, (c)maximum acceleration = 0.566 × g =5.54 m/s².
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Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by a. gravitational collapse. b. fusing hydrogen into helium in the core. c. fusing hydrogen into helium in a shell around the core. d. degenerate-electron pressure.
When the core temperature rises, stars start burning helium to carbon. Hydrogen and helium are fused in a shell surrounding the core, raising the temperature.
The most prevalent method of generating energy in the cosmos is hydrogen fusion. The gravitational force is utilised to fuse hydrogen at the centres of our Sun and other stars, where it has a density more than 70 times greater than that of steel. Thus, all of the heat and light on earth comes from fusion. Helium is a chemical element with the atomic number 2 and the symbol He. The first member of the noble gas group in the periodic table, it is a colourless, odourless, tasteless, inert, monatomic gas that is not harmful.
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find the work required to move an object in the force field f along the straight line from a(0,0,0) to b(,,). check to see whether the force is conservative.
Answer:
0.099
Explanation:
An explorer in Antarctica leaves his shelter during a whiteout. He takes 40 steps northeast, next 80 steps at 60$^{\circ}$ north of west, and then 50 steps due south. Assume all of his steps are equal in length. (a) Sketch, roughly to scale, the three vectors and their resultant. (b) Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter.
a) R= Resultant vector R=A+B+C ,D=12 steps i^−48 steps j^
A resultant vector is what?The resultant vector is described as a single vector with the same consequence as several other vectors taken together.
How do you locate the outcome vector?R = A + B.Formula 2: To obtain the resultant, opposing vectors are subtracted from one another.Here, a vector B is pointing in the opposite direction of the vector A, as well as the resulting vector is called R.
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Matt decides to stage dive into the mosh pit. If the stage is 2.5 m above the crowd and he jumps with a horizontal velocity of 2m / s how far from the stage will he land in the crowd
Distance Matt will land 1 m away from the stage.
What is Distance?Distance is a numerical measurement of how far apart two objects or points are in space. It is usually measured in linear units such as meters, miles, or kilometers. Distance can also be measured in angular units such as degrees or radians. Distance can be measured in both two-dimensional and three-dimensional space. In two-dimensional space, distance is measured along the x-axis and y-axis. In three-dimensional space, distance is measured along the x-axis, y-axis, and z-axis.
The horizontal distance traveled by Matt can be calculated using the equation:
d = v * t
where d is the distance, v is the velocity, and t is the time.
In this case, v = 2 m/s and t = the time it takes for Matt to fall 2.5 m. This can be calculated using the equation:
d = g * t^2 / 2
where g is the acceleration due to gravity, which is 9.8 m/s^2.
Plugging in the values, we get:
t = sqrt(2*2.5/9.8) = 0.5 seconds
Therefore, the distance traveled horizontally can be calculated as:
d = 2 * 0.5 = 1 m
Therefore, Matt will land 1 m away from the stage.
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You make yourself and your friend a cup of hot chocolate and add vanilla ice cream. You quickly enjoy yours, but your friend takes a long time to come, so you get to observe theirs as a science experiment.
In what direction does the heat flow? (2 points)
Describe how the kinetic energy of the hot chocolate changes once you add the ice cream. (2 points)
How does the kinetic energy of the ice cream change once you put it in the hot chocolate? (2 points)
What happens to the temperature of each substance? Be specific. (2 points)
When will the temperature of the ice cream and the hot chocolate stop changing? (2 points)
The answers include the following;
The direction in which the heat flows is from hot chocolate to the vanilla ice cream. The kinetic energy of the hot chocolate decreases once you add the ice cream.The kinetic energy of the ice cream increases once you put it in the hot chocolate.The temperature of each substance will exchange heat till an equilibrium is reached.The temperature of the ice cream and the hot chocolate will stop changing when there is uniformity.What is Temperature?This is referred to as the degree of hotness or coldness of a substance and it is influenced by thermal energy.
The direction in which the heat flows is from hot chocolate to the vanilla ice cream and the kinetic energy of the hot chocolate decreases once you add the ice cream.
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ou hold a picture motionless against a wall by pressing on it, as shown in the figure.You hold a picture motionless against a wall by pressing on it. draw a free body diagram.
The picture of free body diagram drawn below:
What is free body diagram?A free-body diagram (FBD; sometimes known as a force diagram) is a graphical representation used in physics and engineering to illustrate the applied forces, moments, and consequent reactions on a body under a particular state.
The object of interest, the forces acting on it, and the resolution of each force vector into its x- and y-components are all shown in a free-body diagram. Each item in the issue requires a distinct free-body diagram.
Forces are depicted as arrows heading away from the object, which is depicted as a dot. Occasionally known as force diagrams.
The picture of free body diagram drawn below:
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The complete question is as follows:
The CERN super collider built in Geneva has a radius of 30 km. It bombards protons together near the speed of light. If the speed of light is 3 x 10^8 m/s, how much centripetal acceleration would the atoms have when they were close to the speed of light? (ans 3x10¹2 m/s²)
The centripetal acceleration would the atoms have when they are close to the speed of light is 3 * 10¹² m/s².
What is centripetal acceleration?Centripetal acceleration is the acceleration of a body that is traveling in a circular path.
Centripetal acceleration is directed toward the center of the circular path. The centripetal acceleration of a body is equal and opposite to the centrifugal acceleration of a body which is directed outwards from the center of the circular path the object is traveling in.
The formula for calculating centripetal acceleration is given below as follows:
a = v² / r
where;
a is the centripetal accelerationv is velocityr is radiusCalculating the centripetal acceleration of the proton:
v = 3.0 * 10⁸ m/s
r = 30 km = 30000 m
a = (3.0 * 10⁸)² / 30000
a = 3 * 10¹² m/s²
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