Answer: To raise the temperature of 0.6 kg of water by 60k 4200jkg-¹c-¹
Reason:
Using the formula Pt = (4.2 × L × T ) ÷ 3600 you can calculate the time it takes to heat a specific quantity of water from one temperature to another temperature.
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a bat flying in a cave emits a sound and receives its echo 0.1 s later. how far is from the cave wall? (in m)
The distance from the wall is 17 m when a bat flying in a cave emits a sound and receives its echo 0.1 s later.
Given sound wave velocity (s) = 340m/s
Time taken for the sound wave (echo) to travel towards the wall and reflect off the bat = 0.1 s
So the time taken by the sound wave to travel to the wall only (t) = 0.1s/2 = 0.05s
Distance from wall to bat (d) = speed of sound wave(s) * time(t)
The distance between the wall and the bat is = 340 m/s * 0.05 s = 17 m
Thus, the distance from the wall when a bat emits a sound and receives its echo 0.1 s later in a cave is 17 m.
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You want to study a biological specimen by means of a wavelength of 20.0 nm and have a choice of using electromagentic waves or an electron microscope.
A. Calculate the ratio of the energy of a 20.0 nm -wavelength photon to the kinetic energy of a 20.0 nm -wavelength electron.
B. In view of your answer to part A, which would be less damaging to the specimen you are studying, photons or electrons?
The electron's K.E. is P 2 /2m=2.4151019 J=1.51 eV. The relationship between the system's energy output and input is referred to as the "energy balance," "energy payback ratio," or "energy ratio."
The balance of energy can be written as. Eo = dE plus Ei. The energy returned by the material to the energy taken in from the environment is known as the yield ratio. Only the primary fuel can speed up growth, but their availability is constrained.
The De Broglie hypothesis states that p= h \s
= \s1∗10 \s−9
6.62∗10 \s−34
\s =6.62∗10 \s−25 \s kg−m/s
No matter if it's an electron or a photon, the value is constant.
(b) λ=1 nm
E = hc / e = 1243.1 eV = 1.24 keV
Momentum, p=h/=6.631025 kgm/s, is shown in (c).
The electron's K.E. is P 2 /2m=2.4151019 J=1.51 eV.
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the yellow-red stains that occur on some rock surfaces is the result of which is a form of weathering.
The yellow red stain that occurs on some rock surfaces is the result of Oxidation Form of weathering
What is Oxidation ?A molecule, atom, or ion undergoes oxidation when it loses electrons as a result of a process.
When a molecule, atom, or ion's oxidation state is raised, oxidation takes place. When there is an increase in electrons or a drop in an atom, molecule, or ion's oxidation state, the process is known as reduction.
According to the given information
When you see crimson stains on rock, you are looking at the results of oxidation, which is when oxygen causes chemical changes. Steel and other iron-containing materials oxidise, which sets off a chemical reaction that causes the material to rust. Similar chemical weathering occurs in rocks.
The yellow red stain that occurs on some rock surfaces is the result of Oxidation Form of weathering
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where does the conscious awareness of sound begin, along with the analysis of its pitch, location, and loudness?
The primary auditory cortex, which is tonotopically organized, is finally reached by auditory afferents in the insular cortex's Heschel's gyrus.
Why does Heschl's gyrus serve a purpose?In addition to being critical for language comprehension, this region is also essential for speech generation, phonological retrieval, and semantic processing. The anatomical foundation of the primary auditory area is provided by Heschl's gyrus, which is a significant part of the posterior STG.
How does Herschel's gyrus function?The transverse temporal gyrus, often known as "Heschl's gyrus," which is a part of the primary auditory cortex, is credited to Heschl as being first described by a medical professional. Incoming auditory data is processed by this anatomical structure.
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if the speed of an object is doubled but the mass stays the same, the momentum of the object will change by a factor of? g
Doubling the mass of the object doubles both the kinetic energy and momentum. The factor that these variables change is 2.
Kinetic energy of an object can be written as:
K.E. = 1/2 m v2
Momentum is given as:
P = m v
when we have a moving object, we will let its mass be m₀
We will let its initial kinetic energy and momentum be:
E₀ =1/2 m₀ v²₀
The momentum is given as: p₀ =m₀v
Now when we double our mass, we have: m = 2m₀
We substitute this into our generalized formulas:
E = 1/2(2m₀)v²
The momentum p = 2m₀v
We can separate the new factors: E =2(1/2 m₀v₂)
The momentum p =(2 )(m₀v)
These are our initial kinetic energy and momentum. Thus we have:
E = 2 E₀
p =2p₀
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You are given two converging lenses of focal lengths 3.5 cm and 2.0 cm to design a compound microscope. If it is desired to have a magnification of 30, find out the separation between the objective and the eyepiece.
The separation between the objective and the eyepiece should be -7.368 cm to get the desired magnification of 30.
Magnification - For a compound microscope, the magnifying power is given by M = Me × Mo where Me = 1 + (d/fe ), is the magnification due to the eyepiece and Mo is the magnification produced by the objective.
According to the given information : fe = 3.5 cm ; fo = 2.0 cm ;
d = 25 cm (d = The normal distance of clear vision of the human eye) and M = 30
Let L be the distance between the objective and the eyepiece.
M = -L/fo (1 + d/fe)
30 = -L/2.0 cm (1 + 25 cm/3.5 cm)
L = -7.368 cm
The separation between the objective and the eyepiece should be -7.368 cm to get the desired magnification of 30.
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An airplane flying horizontally with a speed of 500 km/h at a height of 850 m fires a projectile horizontally in its direction of motion at a speed of 290 m/s relative to the plane. (Calculate the following answers relative to the ground.) (a) How far in front of the release point does the projectile hit the ground (in m)? (b) What is its speed when it hits the ground (in m/s)?
The projectile hit the ground 3,992.97 m in front of the release point. The projectile speed when it hits the ground is 438.5 m/s
When a level-flying aircraft fires a projectile horizontally in the direction of travel, it means:
v₁ = speed of the plane = 500 km/h
v₁ =500 x 1000 km = 138.89 m/s
3600s
v₂ = velocity of bullet with respect to plane = 290 m/s
v = projectile velocity relative to the ground
v = v₁ + v₂ = 428.89 m/s
The projectile moves horizontally, but has projectile motion that moves horizontally and vertically along a parabola curve.
In the vertical direction, the projectile moves with un uniform motion.
uy = initial vertical velocity = 0 m/s
h = height = 850m
g = gravitational acceleration = 9.8 m/s²
2h = 1/2 gt²
2 × 850 = 9.8 × t²
t = √1,7009.8
t = 9.31 seconds
The projectile moves horizontally with constant velocity.
distance
d = vt
d = 428.89 × 9.31
d = 3,992.97m
when the projectile almost touches the ground
vertically
maximum speed
vy = gt = 9.8 × 9.31 = 91.24 m/s
horizontally
vx = v = 428.89 m/s
projectile final velocity
v² = vx² + vy²
v² = 428.89² + 91.24²
v² = 183,946.63 + 8,324.37
v² = 192,271.004
v = 438.5 m/s
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A 1,168-kg car comes to a stop without skidding. The car's brakes do -23,180 J of work
to stop the car.
Which of the following was the car's velocity when the brakes were initially applied?
The initial velocity of the car when the brake was initially applied is 6.3 m/s.
option D is the correct answer.
What is the velocity of the car when the brake was initially applied?
The velocity of the car when the brake was initially applied is calculated as follows;
Mathematically, kinetic energy formula is given
K.E = ¹/₂mv²
where;
m is the mass of the speedv is the speed of the car when the brake was initially appliedmv² = 2 K.E
v² = ( 2 K.E ) / ( m)
v = √ [ ( 2 K.E ) / ( m) ]
Substitute the given parameters and solve of the initial velocity of the car when the brake was applied.
v = √ [ ( 2 x 23,180 ) / ( 1168) ]
v = 6.3 m/s
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The complete question is below:
A 1,168-kg car comes to a stop without skidding. The car's brakes do -23,180 J of work
to stop the car.
Which of the following was the car's velocity when the brakes were initially applied?
A. 3.2 m/s
B. 1.7 m/s
C. 5.1 m/s
D. 6.3 m/s
Nasa’s orion spacecraft, which left earth last week, flew within 81 miles of the surface of which celestial body on monday?.
Nasa’s Orion spacecraft, which left earth last week, flew within 81 miles of the surface of the moon.
What is the Orion spacecraft mission?The NASA Artemis 1 mission uses the crewed spaceship Orion, which is largely reusable. On Monday, NASA's Orion spacecraft flew by the moon's far side, coming 81 miles from the surface. There are no people on board the spacecraft. A lunar landing is the goal of the third Artemis 1 mission, which will use the Orion spacecraft and a SpaceX vehicle. Orion's systems will be tested extensively during the spacecraft's six-day stay, giving mission commanders plenty of time to do so.One of the primary goals of the trip is to test that the Orion spacecraft functions as intended .Its goal is also to provide NASA the opportunity to make any necessary modifications and repairs before astronauts embark for the Artemis II mission, which won't launch until at least 2024.To learn more about Orion spacecraft, refer:
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a garden hose with a small puncture is stretched horizontally along the ground. the hose is attached to an open water faucet at one end and a closed nozzle at the other end. as you might suspect, water pressure builds up and water squirts vertically out of the puncture to a height of 0.37 m. determine the pressure inside the hose. (enter your answer to the nearest 1000 pa.)
A garden hose with a small puncture is stretched horizontally along the ground. The hose is attached to an open water faucet at one end and a closed nozzle at the other end.
Height up to which water squirts vertically out of the puncture is, h2 = 0.73 m
Let A be the area of the cross-section of the hose.
From Bernoulli's equation, we can write,
[tex]P1 + (1/2) \rho v12 + \rhogh1 = P2 + (1/2) \rho v22 + \rhogh2[/tex]
we assume that the area of the cross-section of the hose is equal to the area of the puncture so that the velocity of the water both inside the hose and at the puncture is the same. Since the hose is on the ground, h1 = 0 m. Also, P2 = 0 as water in the open experiences no pressure.
Thus, we can write
[tex]P1 = PGH_{2}[/tex]
where [tex]Pgh_{2}[/tex]is the potential energy per unit volume?
[tex]\rho = 1000 kg/m3and g = 9.8 m/s2[/tex]
So,
P1 = 1000 kg/m3 * 9.8 m/s2 * 0.73 m
[tex]P1 = 7154 kg/m.s2\approx 7kPa[/tex] is the pressure inside the hose.
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calculate the theoretical magnetic field at the center of the solenoid calculate the percent difference between the theoretical and experimental values for the magnetic field at the center of the solenoid.
The Theoretical Magnetic field at center of solenoid will be ηNi/L with a percentage difference of 50%.
A solenoid is a long wire that has been wound in a helix shape. Using this arrangement, we can create a magnetic field that is reasonably uniform. When the turns are closely spaced, we can think of the solenoid as having a single circular loop for each turn, and the net magnetic field is the vector sum of all the magnetic fields produced by the turns. As the solenoid's length increases, the interior field becomes more consistent.We can think of it as the ideal solenoid when the turns are closely spaced and the length is significantly greater than the turn radius. In this instance, the interior field is uniform over a sizable volume, and the external field is zero. An expression for the magnetic field in a hypothetical solenoid is obtained using Ampere's law.[tex]B=uNi/L[/tex]
[tex]\beta =\int\limits^ {} B\, dx[/tex]
[tex]\beta =Bsin[2\pi -wt]\\\\k=2\pi /y\\\\\frac{B}{e}=c[/tex]
[tex]\int\limits^a_b {B} \, dx =UIc= Flux[/tex]
where u is permeability , N is number of turns , i is current and L is the length of solenoid.
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a boy can raise a rock that weighs 120 n by using a lever and applying a force of 25 n. what is the mechanical advantage of the lever?
The mechanical advantage of the lever is 4.8
What is mechanical advantage?Mechanical advantage is a measure of the ratio of output force (load) to input force (effort applied) in a system, used to analyze the forces in simple machines like levers and pulleys. Changing the forces that are applied, the conservation of energy is still true and the output energy is still equal to the input energy.Mechanical advantage has no unit.
Therefore mechanical advantage is given as Load/Effort
In this case the load is 120N and the effort is 25N
Therefore the mechanical advantage of the lever = 120/25= 4.8N
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a car is accelerating from rest at to meters per second squared and travels 400 mi how fast is it going at the end
The ideals that we place Our time is equivalent to 20 seconds since S is 400 meters and an is four meters per second squared.
By accelerating, what do you mean?Car's acceleration was gradual. To move through the grades more quickly than is typical: to follow a sped-up educational curriculum. The rate of change has accelerated in recent months.
With examples, what does the term "acceleration" mean?Any alteration in an object's velocity might take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stalled at a stop sign are a few instances of acceleration.
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A Private jet flies the same distance in 10 hours That it commercial jet Flies in 6 hours. If the speed of the commercial jet was 200 mph less than 3 times the speed of a private jet. Find the speed of each jet.
answer:
Speed of private jet:
Speed of commercial jet:
Speed of private jet:200 mph. Speed of commercial jet:400 mph
The private plane traveled at 200 mph, whereas the commercial flight did it at 400 mph.
The commercial jet covers the same distance in six hours that the private jet does in ten.
Commercial jets go roughly 200 mph less than private jets, which travel at three times the speed.
Now, if we suppose that the private jet's speed is X mph, the commercial jet's speed will be (3 X - 200) mph.
For the private jet, if the distance covered is D,
D = 10X
For commercial aircraft,
D = (3X-200)
6
Now, we can write,
10X = 18X - 1200
6X = 1200
X = 200 mph.
Thus, the commercial jet's speed was 400 mph while the private jet's speed was 200 mph.
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a 1.50 v potential difference is maintained across a 1.50 m wire that has a cross-sectional area of 0.600 mm2. how much power is dissipated in the wire if its resistivity is 5.25x10-8ωm?
17.1 W is the power dissipated in the wire.
What is Power?Power is the amount of work completed in a given amount of time, or time spent working. The joules per second (J/s)-based SI unit of power is the Watt (W).
In light of the fact that the potential difference is V = 1.5 V.
The wire is l = 1.5 meters long.
The area of the cross-section is A = 0.6m.
The wire has a 5.25 resistance.
R=ρ l/A
=5.25×10^(-8)×1.5/(0.6×10^(-6) )
=0.13125Ω
The formula to calculate power is
P=V^2/R
Substituting the values, the power will be
P = ((1.5)^2)/0.13125
P = 17.1 W
Thus, the power dissipated in the wire is 17.1 W
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What acceleration will you give to a 24. 3 kg box if you push it horizontally with a net force of 85. 5 n?.
3.325m/s^2 acceleration will you give to a 24.9 kg box if you push it horizontally with a net force of 82.8 N.
What is Newton's second law?
Following Galileo, Isaac Newton investigated the motion of various substances and came up with his three famous laws, the first of which defines force and the second of which analyzes it. When an object's mass is constant under certain circumstances, the force is theoretically equal to the sum of the body's mass and the acceleration it experiences.
Data Given
- Mass of the box[tex]$m=24.9 \mathrm{~kg}$[/tex]
- Net horizontal force on the box[tex]$F=82.8 \mathrm{~N}$[/tex]
As per Newton's second law
[tex]$$\begin{aligned}& F=m a \\& a=\frac{F}{m} \\& a=\frac{82.8 \mathrm{~N}}{24.9 \mathrm{~kg}} \\& a=3.325 \mathrm{~m} / \mathrm{s}^2\end{aligned}$$[/tex]
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a car goes around a curve of radius r at a constant speed v. the coefficient of static friction between the tires and the surface is µ. what is the maximum value of the car’s velocity in order to prevent the car from skidding off the road?
The maximum value of the car’s velocity in order to prevent the car from skidding off the road is (urg)^(1/2)
What is meant by velocity ?The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
The pace at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. The definition of velocity is the specification of a moving object's speed and direction (for example, 60 km/h to the north).
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a wheel with rotational inertia i is mounted on a fixed, frictionless axle. the angular speed ???? of the wheel is increased from zero to ???????? in a time interval t. question what is the average power input to the wheel during this time interval?
the average power input to the wheel during this time interval, power P = I ω f 2 /2 T
What is average power?
It is the average amount of work done or energy converted per unit of time. The average power is often simply called "power" when the context makes it clear. The instantaneous power is then the limiting value of the average power as the time interval Δt approaches zero.
Power P = torque * average angular speed
= I α ( 0 + ω f ) / 2
where I = moment of inertia
α= angular accleration = ω f / T
So, power P = I ω f 2 /2 T
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suppose the wave is traveling in a medium in which the speed of the wave is 0.75c. determine the maximum magnetic field strength if the maximum electric field strength in the electromagnetic wave is 140 kv/m
The maximum magnetic field strength is 6.22 × 10⁻⁴ T. The result is obtained by dividing the maximum electric field strength by the speed of the wave.
What is the maximum magnetic field strength?The ratio of electric field strength to magnetic field strength in any electromagnetic wave is equal to the speed of light.
E/B = c
Where
E = electric field strengthB = magnetic field strengthc = speed of light (3 × 10⁸ m/s)If the speed of the medium wave is 0.75c and the maximum electric field strength is 140 kV/m. The maximum electric field strength would be
B = E/0.75c
B = 140.000/0.75c
B = 140.000/(0.75 × 3 × 10⁸)
B = 14×10⁻⁴/2.25
B = 6.22 × 10⁻⁴ T
Hence, the maximum electric field strength in the electromagnetic wave is 6.22 × 10⁻⁴ T.
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what is solar activity? describe key features including sunspots, solar prominences, solar flares, and coronal mass ejections.
Solar activity includes coronal mass ejections, high-speed solar winds, solar energetic particles, and solar flares.
Explain about the Solar activity?The magnetic fields become tangled, stretched, and twisted due to the Sun's perpetual gas movement. Solar activity, or solar activity as it is also known, is produced by this motion on the Sun's surface. The Sun's surface occasionally exhibits intense activity. The atmosphere can change from time to time.
In actuality, the lengthier, 22-year cycle of solar activity is divided in half by the 11-year sunspot cycle. The magnetic field of the Sun associated with sunspots reverses polarity with each upswing and downswing in the number of sunspots, and the northern and southern magnetic hemispheres of the Sun alternate in their orientation. There is an 11-year cycle between solar activity maxima as determined by the quantity of sunspots.
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where does the conscious awareness of sound begin, along with the analysis of its pitch, location, and loudness?
Beginning with the examination of the sound's pitch, location, and volume, the temporal lobes become aware of the sound.
What does analysis mean, for instance?The process of closely scrutinizing something to learn more about it or form an opinion about it as a result of doing so: The performance of the investment plan was examined independently by our financial specialists. Clare's evaluation of the circumstance piqued my curiosity.
How does analysis physics work?The process of organizing and analyzing experimental data in physics is done to support a theory or hypothesis. It is a crucial step in the scientific process and calls for students to show high levels of proficiency in critical scientific abilities.
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Nuclear decay occurs according to first-order kinetics. A nuclide decays in 3. 40 days from 45. 0 g to 12. 1 g. What is the rate constant for the nuclide?.
The rate constant for the nuclide is 0.38.
We know that the rate of first order reaction is given by : [tex]kt = 2.303*log(R'/R)[/tex]
where k = rate of reaction
t = time = 3.4 days
R' = initial amount = 45 g
R = final amount = 12.1 g
Putting these values in above reaction we get k = 0.38
i.e. the rate constant for the nuclide is 0.38.
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a high-fidelity sound system may have a frequency range that extends up to or beyond 20,000 hz. what is the purpose of this extended range?
This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
Describe a sound wave:A sound wave is a series of disruptions that are caused by energy that is being transmitted away from the source of the sound. The path of the acoustic waves is parallel of the particle vibration. So, longitudinal waves is what they are called. Atoms move back and forward between instantaneously as they vibrate.
What does sound wave propagation entail?Transverse waves, such as sound waves, spread diagonally to the transmission medium. Sound waves move in a straight line parallel to the transmission medium since they are longitudinal waves. Depending on the temperature, sound waves can move in either a longitudinal or transverse direction. This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
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This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
Describe a sound wave:A sound wave is a series of disruptions that are caused by energy that is being transmitted away from the source of the sound. The path of the acoustic waves is parallel of the particle vibration. So, longitudinal waves is what they are called. Atoms move back and forward between instantaneously as they vibrate.
What does sound wave propagation entail?Transverse waves, such as sound waves, spread diagonally to the transmission medium. Sound waves move in a straight line parallel to the transmission medium since they are longitudinal waves. Depending on the temperature, sound waves can move in either a longitudinal or transverse direction. This increased range's objective is to make it easier for the sound to create detectable high frequency noises.
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which planet detection method would work best for a massive planet that's close to its host star but doesn't pass between us and the star?
The Doppler method is most frequently employed to find extrasolar planets, however it works best for finding extremely large planets that are near to their host star.
Which planet is the hottest?Venus is the hottest planet within our solar system, with average global temperatures hot enough even to melt lead due to the runaway greenhouse effect caused by its thick atmosphere, which traps heat. Venus is around 700°F (390°C) hotter that it would be in the absence of the greenhouse effect.
Is it 8 or 9 planets?Our solar system is made up of ten planetary systems, 146 moons, countless comets, meteorites, and other space objects, as well as Pluto and several dwarf planets. In the system, there is just the Sun. The eight planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and finally Neptune.
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a pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. light waves arrive at the two slits in phase. a fringe pattern is observed on a screen 4.8 m from the slits. in the situation above, there are 5.0 bright fringes/cm on the screen. the wavelength of the monochromatic light is closest to:
750 nm is the predicted wavelength. The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).
= slit separation = 1.8 mm = 0.0018 m
is the monochromatic light's wavelength.
= 4.8 meters from the screen
= first bright fringe's position =
= order = 1
The first bright fringe's position is indicated by
λ = 7.5 x 10⁻⁷ m
λ = 750 nm
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how much heat (in kj) is required to warm 15.0 g of ice, initially at to steam at . the heat capacity of ice is , and that of steam is .
The heat absorbed by the ice during changing its phase from a solid-state to the liquid state is called the latent heat. Heat capacity is the amount of heat energy required to raise the temperature of a given quantity of matter by one degree Celsius.
How will the latent heat be obtained when ice undergoes transition?
The ice would have to undergo 2 phase transitions and absorb heat in the 3 phases. The equation would be:
Q=mC(ice) ∆T(ice) +mHf+ mC(water) ∆T(water) +mHv +mC(steam)∆T(steam)
The latent heat of fusion Hf of water is 333.55 J/g
The latent heat of vaporization Hv of water is 2257 J/g
The heat capacity C(water) of water is 4.184 J/g-C
ΔT(ice) is from -20 to 0 degrees Celsius
ΔT(water) from 0 to 100 degrees Celsius, and
ΔT(steam)from 100 to 125 degree celcius
Q=10.0×2.09×(0−−20)+10.0×333.55+10.0×4.184×(100−0)+10.0×2257+10.0×1.84×(125−100)Q=10.0×2.09×(0−−20)+10.0×333.55+10.0×4.184×(100−0)+10.0×2257+10.0×1.84×(125−100)
Therefore, main answer is that Heat Capacity is Q=30967.5 J=30.9675 kJ
It requires 31.0 kJ of heat to warm the ice initially at -20.0 ∘C, to steam at 125∘C.
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The statement leads us to the conclusion that 7.07kJ of heat are needed to warm the ice.
In physics, what do heat and temperature mean?An object's heat is made up all of the potential of all intrinsic molecular motion. Temperature is a unit of measurement for the heat produced of typical energy of an object, such as the parts of a material.
Briefing:Given data:
Ice has a mass of 15.0 grams (m).
The starting temperature is 10 degrees Celsius below zero.
T' = 110.0 degrees Celsius, which is the final temperature.
Ice has a heat capacity of c = 2.09 J/g C.
Steam has a heat capacity of c' = 2.01 J/g C.
At 110 degrees Celsius, the transformation from freezing to water (a liquid) and then to steam occurs as ice absorbs heat. So,
This is how much heat was absorbed:
Q = m[c(T' - T) + c'T']
Q = 15[2.09(110-(-10)+(2.01*110)]
Q = 7078.5 J
Convert in kJ as,
Q = 7078.5/1000
Q = 7.07 kJ
Therefore, we may say that 7.07kJ of heat are needed to warm the ice.
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The complete question is-
How much heat (in kJ) is required to warm 15.0 g of ice, initially at −10.0 °C, to steam at 110.0 °C? The heat capacity of ice is 2.09 J/g · °C, and that of steam is 2.01 J/g °C.
a spring scale shows a net force of 0.8 n acting on a 1.5-kg mass. what happens to the acceleration of the object if the net force is decreased to 0.2 n?(1 point)
If the net force is reduced, the object's acceleration equals 0.13 m/s².
What is an instance of net force?For instance, even though a car is moving when it is continuously moving at 50 mph on the highway, there is no acceleration, so the net force of the car is zero.
Given
0.8 N acting as a net force on a 1.5 kg mass
To 0.2 N, the net force is reduced
Newton's 2nd law
∑F = ma
The 1.5 kg mass used in states 1 and 2 does not change
At state 1
∑F = 0.8N
m = 1.5kg
a = ∑F/m
a = 0.8/1.5
a = 0.53m/s²
At state 2
∑F = 0.2N
m = 1.5kg
a = 0.2/ 1.5
a = 0.13m/s².
The net force is reduced, the object's acceleration equals 0.13 m/s².
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A cooling tower is 120 meters tall. The sides of the tower are in the shape of a hyperbola defined by the equation x^2/500 - y^2/900 = 1 with units in meters. The center of the tower is at the origin. How wide is the tower at the top?50 m92 m100 m184 m
The width of the tower at the top will be 92 m. Then the correct option is B.
Hyperbola-
The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
A cooling tower is 120 meters tall.
The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.
The center of the tower is at the origin.
Then the width of the tower at the top will be
x²/500 – (120)²/900 = 1
x²/500 – 14400/900 = 1
x²/500 – 16 = 1
x²/500 = 1 + 16
x²/500 = 17
x² = 8500
x = 92.19 ≈ 92 m
Then the correct option is B.
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a meterstick of uniform density is hung from a string tied at the 11-cm mark. a 0.40-kg object is hung from the zero end of the meterstick, and the meterstick is balanced horizontally. what is the mass of the meterstick?
The meterstick has a mass of 0.40 kg and is suspended from a string that is knotted at the 11-cm point. A 0.40-kg object is suspended from the meterstick's zero end due to its uniform density.
Mass is a physical body's total amount of matter. It also serves as a gauge for the body's inertia, or resistance to acceleration (change in velocity) in the presence of a net force. The strength of an object's gravitational pull to other bodies is also influenced by its mass. The substance's mass per unit of volume is known as its density (volumetric mass density or specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Mass is the mathematical definition of density.
M2 = 0.40 Kg
d = 11cm
m1*g*r1 = m2*g*r1
m1*9.8 = 0.40*9.8
m1 = 0.40 kg
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a circuit contains an ac generator and a resistor. what haplens to the average power dissipated in the resistor when the frequency is doubled and the rms voltage is tripled?
The average power increases by a factor of 3^2 = 9 since is proportional to the square of the rms voltage.
What is rms voltage?
In the AC waveform tutorial, we briefly looked at the RMS voltage value of a sine wave and said that this RMS value would give the same heating effect as the equivalent DC power. We detail them in terms of RMS voltage and current.
The term 'RMS' stands for 'Root Mean Square'. Most books define this as "the amount of AC power that produces the same heating effect as equivalent DC power" or something along those lines, but the RMS value is much more than that. Mean value of the quadratic function of instantaneous values. The symbols used to define RMS values are VRMS or IRMS.
Therefore, the average power increases by a factor of 3^2 = 9 since is proportional to the square of the rms voltage.
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