To find the answers learn collision and magnitude.
What is magnitude?
The most straightforward way to define magnitude is "distance or quantity." In either an absolute or relative sense, it displays the size or motion of an object. It serves as a way to convey the size or scope of something. The majority of the time, magnitude refers to a length or size.
What is collision?
Collision, also known as impact, is the sudden, violent coming together of two bodies in direct contact, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when coupled, or a falling object and a floor.
This is a completely inelastic collision , but Eq. 9−53 (V=m₁/m₁+m₂ V₁i)
is not easily applied since that equation is designed for use when the struck particle is initially stationary. To deal with this case (where particle 2 is already in motion), we return to the principle of momentum conservation:
m₁ V^→₁+m₂V^→₂=(m₁+m₂) V^→ ⇒ V^→ =2(4i-5j)+4(6i-2j)/2+4
(a) In unit -vector notation , then V^→ =(2.67m/s)i+(-3.00m/s)j
(b) The magnitude of V^→ is |V^→| =4.01m/s
(c) The direction of V^→ is 48.4°c (measured clockwise, from the + x axis)
Therefore, unit -vector notation , then V^→ =(2.67m/s)i+(-3.00m/s)j, the magnitude of V^→ is |V^→| =4.01m/s, the direction of V^→ is 48.4°c (measured clockwise, from the + x axis)
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What is one idea why a relatively dense protogalactic cloud more likely to produce an elliptical galaxy than a spiral galaxy?.
The higher gas density forms stars more efficiently, so all the gas is converted into stars before a disk can form.
What is density ?Density is a measure of how much "stuff" is in a given space. For example, a block of the heavy element lead (Pb) is denser than the softer, lighter element gold (Au). Styrofoam blocks are less dense than bricks. Defined as mass per unit volume. Object density is one of the most important and easily measured physical properties. Density is commonly used to identify pure substances and to characterize and estimate the composition of various types of mixtures.The density of an object or substance can be calculated from the formula: Density in kilograms per cubic meter equals mass in kilograms divided by volume in cubic meters (p = m/v).To learn more about density from the given link :
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(a) calculate the self-inductance of a 54.0 cm long, 10.0 cm diameter solenoid having 1000 loops. mh (b) how fast can it be turned off if the induced emf cannot exceed 3.00 v and a current of 22.0 a flows through this inductor? s
Self-inductance is 23.4 mH 0.145 seconds it is turned off it be turned off if the induced EMF cannot exceed 3.00 v and a current of 22.0 a flows through this inductor.
What is Self-inductance?As the current in the coil changes, the magnetic flux associated with the coil also changes, thus inducing an electromotive force in the coil. This phenomenon is referred to as self-induction. Self-induction of a coil is a property due to its tendency to maintain a magnetic flux associated with it and to counteract changes in magnetic flux by inducing current. This property of coils is similar to mechanical inertia. That is why self-induction is called electric inertia. The self-inductance of a coil is numerically equal to the amount of magnetic flux associated with the coil when a unit current flows through it. The SI unit for self-inductance is the henry (H) or weber per ampere. 1H = 1Wb/A.to learn more about Self-inductance from the given link :
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To an observer on earth, the sun appears brighter than the star rigel because the sun is.
To an observer on earth, the sun appears brighter than the star Rigel because the sun is closer than Rigel.
Distance between the Sun and Earth = 147.85 millions km
Distance between the star Rigel and Earth = 864.3 light years
1 light year = 9.46 * [tex]10^{12}[/tex] km
864.3 light years = 9.46 * 864.3 * [tex]10^{12}[/tex] km
864.3 light years = 8176.278 * [tex]10^{12}[/tex] km
864.3 light years = 817.63 * [tex]10^{7}[/tex] million km > 147.85 millions km
Clearly the distance between the Sun and Earth is way lesser than the distance between the star Rigel and Earth. Larger the distance smaller the size it will appear and lesser the light that can be seen.
Therefore, to an observer on earth, the sun appears brighter than the star Rigel because the sun is closer than Rigel.
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A woman is pushing a 100Kg couch across her room. Her arms are angled down at 25 degrees
from the horizontal as she applies a 70N force. What is the normal force applied to the couch?
The normal force applied to the couch is 70.42N
Given,
Mass(m)- 100kg
Force(f)- 70N
Angle(a)- 25 degrees
We know,
Acceleration(n): force/mass
so, n = 70/100
= 0.7
now,
Normal Force = mn + sin a
so,
= 0.7*100 + 0.42
= 70 +0.42
70.42N
What is mass?
The amount of matter in a particle or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).What is force?
The term "force" has a specific meaning in science. At this level, calling a force a push or a pull is quite appropriate. A force is not something an item "has in it" or that it "contains." One thing experiences a force from another. There is no distinction between living and non-living entities in the concept of a force.To know more about force, checkout this link.
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a 71 kg student weighs himself by standing on a scale mounted on a skateboard that is rolling down an incline, as shown. assume there is no friction so that the force exerted by
Answer:
The student would definitely weigh lower than 71 kg when the student rolls down the incline on their skateboard. This is because as he goes down, there will be air pushing against him, and though it isn't enough to fully lift him, the air pressure is enough to decrease the student's original weight. It mainly depends on how steep the incline is; if the incline is just enough to get him going, then the bar will show just a bit less than 71 kg after a while. However, if the student goes down a much steeper incline, say something like just a bit further out than a wall at 90 degrees, then the student will most probably have a much less weight than 71 kg.
Kinda long, but hope it helps.
Which option is correct and explain why in detail?
The statement about the movement of the object that is true is that the object is at rest at position Y. Option D
What is the maximum height?Let us recall that the projectile is a kind of motion that involves making an object to move along a parabolic path. This parabolic path is a curved path. A typical example of the projectile motion is the is the image that have been shown in the question.
We can see that the path of the object as it s moving is curved through the points X, Y and Z. One thing that is worthy of note from the diagram s that the lowest point of the object is at point Z and the highest point of the object is at point Y.
Why we need the facts that are mentioned above in mind is that the projectile would have zero velocity at the highest point but would have the highest velocity at the lowest point of its motion.
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How an electric car might still run on fossil fuel
Answer:
Below
Explanation:
Incredible amounts of fossil fuels are used to mine for materials, buil and transport electric vehicles
Electric vehicles use electricity to charge their batteries. Most electricity is generated using fossil fuels such as natural gas and coal .
A 2.0 kg piece of metal flying at -1.0 m/s hits a windshield of a 200.0 kg object at 15.00 m/s. They collide and stick together. What is the total momentum before the collision?
The total momentum before the collision is -2.0kgm/s.
What is momentum?
This can be defined as the product of the mass and velocity of an object.
what is the formula for calculation momentum?
momentum Ρ= mass*velocity
=m*v
Given in the equation:
m₁=2.0kg
v₁=-1.0m/s
Calculating the first momentum i.e momentum before collision:
Ρ₁=m₁*v₁
=2.0kg*-1.0m/s
Ρ₁ =-2.0kgm/s
Given in the equation:
m₂=200.0kg
v₂=15.00m/s
Calculating the second momentum:
Ρ₂=m₂*v₂
=200.0kg*15.00m/s
=3,000kgm/S.
Hence the total momentum before the collision will be the first momentum i.e Ρ₁ =-2.0kgm/s
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Answer:
-2.0kgm/s
Explanation:
The other guy said so
if the satellite has a mass of 3000 kg , a radius of 4.2 m , and the rockets each add a mass of 230 kg , what is the required steady force of each rocket if the satellite is to reach 32 rpm in 5.5 min , starting from rest?
The required steady force of each rocket if the satellite is to reach 32 rpm in 5.5 min , starting from rest is 12.92N
[tex]\alpha = \frac{{{\omega _{\rm{f}}} - {\omega _{\rm{i}}}}}{t}[/tex]
=0.005
[tex]{I_{{\rm{total}}}} = {I_{{\rm{cylinder}}}} + {I_{{\rm{rockets}}}}[/tex]
[tex]{I_{{\rm{rockets}}}} = 4{m_r}{r^2}[/tex]=43470 kg.m²
[tex]\tau = {I_{{\rm{total}}}}\alpha[/tex]=217.3 m
[tex]{\tau _{\rm{i}}} = \frac{\tau }{4}[/tex]=54.3 N.m
[tex]{F_{\rm{i}}} = \frac{{{\tau _{\rm{i}}}}}{r}[/tex]=12.92N
The moment of inertia of the body depends on the distribution of mass along its axis and when the rockets are placed with the uniform cylinder, the moment of inertia gets added up to the moment of inertia of the uniform cylinder.The equations of motion for the rotating body determine the angular acceleration, which is dependent upon the initial and final angular velocity and the time taken by the body to reach the final state from its initial position.The total moment of inertia of the rotating body depends upon both the mass of the cylinder and the rockets.The total torque applied to the rotting body is due to the moment of force done by the four rockets, and the same torque is balanced to formulate equations to derive the force exerted by each rocket.
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One uranium atom has a diameter of 3. 5×10−8 centimeters. What is the sum of 1,000,000 uranium atoms’ diameters, in centimeters, written in standard notation?.
Sum of 1,000,000 uranium atom's diameters in centimeters written in standard notation would be 0.0035 cm.
Adding a number 1,000,000 times is same as Multiplying that number with 1,0000,000. So multiplying the diameter of one atom with 1,000,000 would give the same result as adding the number 1,000,000 times would give.
Diameter = 3.5 × [tex]10^{-8}[/tex]
= 3.5 ×[tex]10^{-8}[/tex] × [tex]10^{6}[/tex]
= 3.5 × [tex]10^{-8+6}[/tex] = 3.5 × [tex]10^{-2}[/tex]
answer ≈ 0.0035 cm.
What is uranium -
Chemical element uranium has the atomic number 92 and the letter U. It is an actinide metal in the periodic table's silvery-gray series. Because all uranium isotopes are unstable and their half-lives are short, uranium has a low radioactivity.
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in the united states , the energy sourced used predominantly for the production of electricity is .
Coal, natural gas, petroleum, and other fossil fuels made up about 61% of the electricity produced in this country. Nuclear energy made up over 19% of the total energy, while renewable energy made up about 20%.
Decomposing plants and animals are used to create fossil fuels. These fuels, which are located in the crust of the Earth, contain hydrogen and carbon that can be burned to produce energy. Examples of fossil fuels include coal, oil, and natural gas. The term "fossil fuel" refers to a hydrocarbon-containing substance that is naturally formed in the Earth's crust from the remains of extinct plants and animals and is extracted and burned as fuel. Natural gas, crude oil, and coal are the principal fossil fuels. We rely on those fuels to heat our homes, power our cars, run manufacturing and industrial processes, and give us electricity. To produce electricity, we burn, or combust, fossil fuels. The process of burning material to produce electrical energy is known as thermal generation. Combustion itself does not result in the production of electricity. Large water boilers are heated by the burning of coal or oil.
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A 5.0 kg object is being acted on by a 20 N force to the right (F1), and a 30 N force,
also to the right (F2).
What is the net force acting on the object?
50 N is the total force exerting on the object.
How can I determine what force is at work on an object?What's the equation for force? Newton's second law of motion defines the force formula as follows: A force is equal to an object's mass times its acceleration, or F = m a. You must use SI units when applying this formula, which calls for Newton's for force, kilograms for mass, and meters per second squared for acceleration.
What is the force law formula?The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to that body's mass m times its center of mass's acceleration a, or F = ma.
Net force = F1 + F2 ( Because F2 force is also right )
Net force = 20N +30N = 50N
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A certain microwave ha a wavelength of. 032m. Calculate the frequency of the microwave
The frequency of microwave is 9.4 ×10⁹ Hz when it has wavelength of 0.032m.
What is wavelength?The distance between two identical points (adjacent crests) in adjacent cycles of a waveform signal as it moves through space or along a wire is known as its wavelength. In wireless systems, this length is commonly specified in meters (m), centimeters (cm), or millimetres (mm).
The relationship between wavelength and frequency is inverse, as shown by the equation.
c=λ⋅v
where,
λ - the wavelength of the wave
v - the frequency of the wave
c - the speed of light in a vacuum, approximately equal to 3⋅10⁸ms⁻¹
This demonstrates that low frequency waves have long wavelengths while high frequency waves have small wavelengths.
Since the wave's wavelength is relatively long, a high frequency is to be anticipated. Fill in your values in the aforementioned equation to find v.
c = λv
∴ v = c/λ
v = 3.10⁸ms⁻¹/ 0.032m
v = 9.4 ×10⁹ s⁻¹
v = 9.4 ×10⁹ Hz
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the disk swings left-and-right on the pivot about the equilibrium position directly below the pivot point a. calculate the period of small oscillations of the disk. use a small angle approximation.
The period of small oscillations of the disk is 2π√L∕g
What is simple harmonic oscillation?Simple harmonic motion can be described as oscillatory motion in which the acceleration of a particle at each position is directly proportional to its displacement from its mean position. This is a distinct case of oscillatory motion. You can represent SHM with a single harmonic sine or cosine function.
For small-angle oscillations, the approximation sinθ≈θ applies, which is a linear differential equation similar to that for simple harmonic oscillators. In this regime the pendulum swings in one period.
T₀ = 2π√L∕g
Where, T₀ = Period of small oscillations
L = length of the string to which the disc is attached to
g = gravitational acceleration.
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a square coil, enclosing an area with sides 6.4 cm long, is wrapped with 3,038 turns of wire. a uniform magnetic field perpendicular to its plane is turned on and increases to 0.47 t during an interval of 1.2 s. what is the magnitude of the induced voltage in the coil?
The induced voltage in the coil is 0.25 V.
What is voltage?Voltage is the pressure from the power source in an electrical circuit that forces charged electrons (current) through conducting coil , causing the electrical circuit, etc. to do work. Let the light shine. An example of a DC voltage is the potential difference across the terminals of an electrochemical cell. AC voltage is present across the terminals of a typical power outlet. Voltages create electrostatic fields even when charge carriers are not moving. A volt is a unit of potential difference, which is also called voltage. A magnitude of 1 volt is officially defined as the potential difference between two points on a cable that will carry 1 ampere of current when 1 watt of power is dissipated in the cable.To learn more about voltage from the given link :
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rosa suggests a source of error: some of the energy from the heating coil is lost because the insulation of the container is not perfect. what type of error will this cause? that is, will the experimental values for specific heat be higher or lower than the actual values? explain your reasoning.
The experimental values for specific heat will be higher than the actual values.
What is specific heat?
The specific heat capacity, or massic heat capacity, of a substance, is calculated using thermodynamics as the heat capacity of a sample of the substance divided by the mass of the sample.
1) The error would be a systematic error i.e., error due to instruments.
And the specific value would be lower than the actual since some heat is lost in the process.
2) By adding the mass of the container, the experiment would have a blunder error i.e., the mistake error or the human error.
The experimental value would then come as lower, since the extra mass in the calculation will give rise to more mass and which would require more heat. But since, the heat is the same, so the calculated value would come lower.
3) by adding salt in it, the specific heat would come lower.
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a stone is dropped from the top of a high cliff with zero initial velocity. in which system is the net momentum zero as the stone falls freely? 1. the stone and the earth 2. none of these 3. the stone itself 4. the stone and the person who drops it
The system with stone and the earth , result to net momentum zero as the stone falls freely.
A stone is thrown down from a high cliff's edge. If the stone and Earth are the only components of the system, then the stone's initial momentum is zero and it does not experience any external forces as it descends. As the stone falls, the system's momentum is zero.
What is linear momentum?
According to the conservation of initial momentum principle, the sum of the initial and final momentums is equal.
m₁u₁ ₊ m₂u₂ = m₁u₁ ₊ m₂u₂
A system made up of a linear system of earth and stone may have zero net momentum.
Therefore, a system of stone and earth can result to a net zero momentum.
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The system with stone and the earth , result to net momentum zero as the stone falls freely.
What is linear momentum?
According to the conservation of initial momentum principle, the sum of the initial and final momentums is equal.
m₁u₁ ₊ m₂u₂ = m₁u₁ ₊ m₂u₂
A stone is thrown down from a high cliff's edge. If the stone and Earth are the only components of the system, then the stone's initial momentum is zero and it does not experience any external forces as it descends. As the stone falls, the system's momentum is zero. A system made up of a linear system of earth and stone may have zero net momentum.
Therefore, a system of stone and earth can result to a net zero momentum.
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if the actual thermal efficiency of the plant is 60% of the maximum, at what rate must heat be discarded to the rive
If the actual thermal efficiency of the plant is 60% of the maximum is Heat capacity of water is 4.2 kJ/kgK so the temperature rise is 2.53 K
The maximum efficiency is that of Carnot engine. Let's suppose the
power plant is Carnot engine, so
n=1 -Tc/Th
=1-293.15/588.15
=0.5
(b) The actual efficiency is 60% of the maximum so
n = 0.6 . 0.5
= 0.3
Heat capacity of water is 4.2 kJ/kgK so the temperature rise is
ΔT= 1750 . 10³ kJ/s / 165 . 10³ kg/s . 4.2 kJ/kgK
ΔT =2.53 K
In thermodynamics, a device's thermal efficiency is a dimensionless performance metric. Examples of such devices include internal combustion engines, steam turbines, steam engines, boilers, furnaces, refrigerators, and air conditioners. A system's thermal efficiency is determined by how much work is produced for every unit of heat input. Work is produced by heat engines. The percentage of heat that is converted into useful work is expressed by thermal efficiency. The carbon footprint of a building is significantly decreased by an envelope that is thermally efficient.
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1. When was the Apollo mission considered a success?
Answer:
Apollo achieved the first crewed lunar landing on the Apollo 11 mission, when Neil Armstrong and Buzz Aldrin landed their LM Eagle in the Sea of Tranquility and walked on the lunar surface, while Michael Collins remained in lunar orbit in the CSM Columbia, and all three landed safely on Earth on July 24, 1969.
Explanation:
because i looked up online
a spaceship leaves earth traveling at 0.61c. a second spaceship leaves the first at a speed of 0.87c with respect to the first. calculate the speed of the second ship with respect to the earth if it is fired directly toward the earth
To find the speed of the spaceship using, speeds formula to calculate its.
What is speed?
The distance traveled in a unit of time is referred to as "speed." It is the rate of movement of an object. Speed is a scalar quantity, as is the velocity vector's magnitude. There is no clear direction to it. An object is moving more quickly if its speed is higher.
What is velocity?
A particle's or object's displacement with respect to time is expressed vectorially as velocity. The meter per second (m/s), also referred to as speed, is the accepted unit of velocity magnitude.
a) In the reference frame of the Earth, the first spaceship is moving at +0.61 c, and the second spaceship is moving at +0.87c relative to the Earth is relative to the first. Thus the speed of the second spaceship relative to the Earth is
U =(v+u¹)/(1+vu¹/c^2)=(0.61c+0.87c)/(1+(0.61)(0.87))=0.967c
b) In the reference frame of the Earth, the first spaceship is moving at +0.61c and the second
spaceship is moving at -0.87 c relative to the first Thus the speed of the second spaceship relative to the Earth is
U =(v+u¹)/(1+vu¹/c^2)=(0.61c+(-0.87c))/(1+(0.61)(-0.87))= -0.554c
Therefore, the speed of the second ship with respect to the earth is 0.967c and the speed of the second ship with respect to the earth if it is fired directly toward the earth is - 0.554c
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a screen is placed 37 cm from a single slit which is illuminated with 564 nm light. if the distance from the central maximum to the first minimum of the diffraction pattern is 2.7 mm, how wide is the slit in micrometer?
The width is 1.55650 μm.
What kind of diffraction pattern is it?A parallel electron beam is focused on the sample in the same manner as in imaging mode to produce diffraction patterns. The beam width transmitted is controlled by a chosen area aperture, and the intermediate lens concentrates the diffraction pattern onto the screen.
Given data:
separating the single slit from the screen = L = 37cm
λ = 564 nm
distance between the first minimum and the central maximum = Z = 2.7mm
We are aware that the destructive diffraction angle is:
θ = pλ/a
where p is the minimum's order, p = 1 for the first minimum, and a is the slit's width, we get the following:
θ = (564nm/a)
We also know that a triangle rectangle can be created, with the distance between the slit and the screen serving as the adjacent cathetus to this angle and the distance between the first maximum and the first minimum serving as the opposite cathetus:
Tg(θ) = Z/L
Tan(564nm/a) = 2.7/37
The same units must first be used on the right side:
2.7mm = 0.27cm
Tg(636nm/a) = 0.27cm/43cm
636nm/a = Atg( 0.27cm/43cm ) = 0.406
a = 636nm/0.406 = 1,556.50nm
1 μm = 1000nm
then:
a = 1,556.50 nm = (1,556.50/1000) μm = 1.55650 μm
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there are two reasonable approximations to consider for the pencil in this problem: a cylinder and a thin rod. however, in this problem we will treat the pencil as a uniform thin rod of length 15.0 cmcm and mass 10.0 gg .
The axis of rotation of the pencil passes through point B.
Draw the free-body diagram of the pencil which touches the surface at point B. The normal force from the surface acts on the pencil at point B. The weight of the pencil acts in a vertically downward direction at the center of mass of the pencil, which is at point C. There is a friction force that opposes the motion of the pencil on the surface.
Since the pencil touches the surface at point B, the weight of the pencil produces torque and makes the pencil rotate about point B, and this is the point through which the axis of rotation for the pencil passes.
The weight of the pencil acts in a vertically downward direction at the center of mass of the pencil, that is, at point C. Since, the pencil touches the surface at point B, the force due to the weight of the pencil produces torque and makes the pencil rotate about point B.
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Do you think that the seeds of gymnosperms would likely be dispersed by animals?
Seeds of gymnosperms likely are not dispersed by animals because they are not enclosed in a fruit as occurs with angiosperm seeds.
What are gymnosperms and angiosperms?
Gymnosperms and angiosperms are different taxonomic groups of seed plants, which have certain particular features such as the presence of fruits angiosperms, it being an adaptive advantage for the dispersion of seeds through animals.
Therefore, with this data, we can see that gymnosperms and angiosperms are different groups of seed plants and angiosperms are evolutionary are more adapted to disperse their seed through animals due to the presence of fruits.
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Two tream merge to form a river. One tream ha a width of 8. 2 m, depth of 3. 4 m,
and current peed of 2. 3 m/. The other tream i 6. 8 m wide and 3. 2 m deep, and flow at
2. 6 m/. If the river ha width 10. 5 m and peed 2. 9 m/, what i it depth?
The depth is 3.96 m. The depth of a lake or pond is the distance from something's top to its bottom or to a point farther below the surface of anything.
Real Depth refers to an object's actual depth below the surface, as determined by submerging a perfect ruler alongside it. The depth of an object in a denser medium as seen from a rarer medium is known as the apparent depth in that medium. Its value is smaller than the real depth. Apparent depth is the perception of depth in a picture formed by a combination of the range of wavelengths visible to the human eye and the physical qualities of light.
AV= A1V1+ A2V2
= 8.2*3.4*2.3+ 6.8*3.28*2.6
=3.96 m.
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A car travels forward with constant velocity. It goes over a small stone, which gets stuck in the groove of a tire. The initial acceleration of the stone, as it leaves the surface of the road, is.
The initial acceleration of the stone is an option (A) vertically upward .
The reason that the tire is rotating with a uniform angular speed and moving with a constant linear pace, is so that as soon as a small stone is caught into the groove of the tire the velocity of the stone is the same as that of the tire.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
αc = ω²R
The direction of net acceleration is towards its center. Hence answer is option A.
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Disclaimer:- your question is incomplete, please see below for the complete question.
(A) vertically upward
(B) horizontally forward
(C) horizontally backward
(D) zero
(E) upward and forward, at approximately 45° to the horizontal
what is the angular acceleration of the pencil when it makes an angle of 10.0 degrees with the vertical? express your answer numerically in radians per second squared to three significant figures. view available hint(s)
The angular acceleration of the pencil when it makes an angle of 10.0 degrees with the vertical is 2.553 rad/s² of every meter length of the pencil.
If the pencil is in the position 10.0 degrees with the vertical, the weight of the pencil in the middle of the pencil will go down. Look at the triangle, x is the distance to calculate the torque.
[tex]\frac{x}{\frac{1}{2} L} = sin \: 10^o[/tex]Newton's second law of rotation
∑τ = Iα
wx = Iα
[tex]w \frac{1}{2} L \: sin \: 10^o = \frac{1}{3} m L^2 \alpha[/tex]
[tex]mg \frac{1}{2} \: sin \: 10^o = \frac{1}{3} mL \alpha[/tex]
[tex]g \frac{1}{2} \: sin \: 10^o = \frac{1}{3} L \alpha[/tex]
[tex]\alpha = \frac{g \frac{1}{2} \: sin \: 10^o}{\frac{1}{3} L}[/tex]
[tex]\alpha = \frac{3 g \: sin \: 10^o}{2L}[/tex]
[tex]\alpha = \frac{3 \times 9.8 \times 0.1736}{2L}[/tex]
[tex]\alpha = \frac{2.553}{L}[/tex]
Because the length of pencil unknown
α = 2.553 rad/s² of every meter length of the pencil.
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a parallel plate capacitor has a cross-sectional area of 25.8 x 31.1 mm and a plate separation of 0.19 mm. what is the dc capacitance, in pf, if the material inserted in between the plates has a dielectric constant of 3.8 ? (answer format x.x)
The dc capacitance is 1420.84.
What exactly is DC capacitance?The way a capacitor behaves in a DC circuit
An uncharged capacitor has zero voltage in terms of DC voltage, which is the same as a short circuit. When the capacitor is fully charged, the circuit has no current flowing. An open circuit is therefore what a fully charged capacitor appears to dc to be.
Parallel plate capacitor ,
Area= (25.8 X 31.1) mm²
plate separation = d= 0.19 mm.
Er = dielectric constant = 3.8
Converting all the values in SI unit meter.
Area = 25.8 x 31.1/(10⁻³)²
Area = 802.38/10⁻⁶
Area = A= 0.0080238 m².
Now, d = 0.19mm =0.00019m
Er = 3.8
for parallel plate capacitor, the capacitance is given by
C = E₀ErA/d , where E = 8.85×10⁻¹²F/m.
C = 8.854 x 10⁻¹²X3.8X 0.0080238/0.00019
C =0.26996x 10⁻¹²/0.00019
C =1420.84x 10⁻¹²(10⁻¹² represent Pico and unit of capacitance is farad).
C = 1420.84
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Zn + HCl →ZnCl2 + _____H₂
type of reaction, and what is it balanced??
Answer:
Explanation:
Zn + 2 HCl → ZnCl₂ + H₂
The interaction of metals with acids refers to the substitution reaction
[tex]{ \green{ \boxed{ \red{ \sf{ \underline{Chemical \: displacement \: reaction}}}}}}[/tex]
The reaction between zinc and hydrochloric acid gives zinc chloride and liberates hydrogen gas.
The balanced chemical equation is as below.
[tex]{ \purple{ \sf{Zn + 2HCl{ \to}Zn Cl_{2} + H _{2}↑}}}[/tex]
Which of the following changes would cause the fusion rate in the sun’s core to increase?
a. An increase in the core temperature
b. A decrease in the core radius
The changes that would cause the fusion rate in the sun’s core to increase are:
a.) An increase in the core temperature and
b)A decrease in the core radius
So, correct options are a and b.
The sun is the Main Sequence star. A Main Sequence star is powered by fusing hydrogen into the Helium within its core.
For this type of fusion to take place, a temperature of at least 10 million Kelvin is required, beyond the given point, the fusion rate is actually directly related to the core temperature. If temperature increases, the fusion rate will greatly increase.
Something similar happens if core reduces its radius. This can happen at the end of the star's lifetime, shortly before it becomes the red giant. Once hydrogen is depleted, the core will start to shrink because the force of gravity, and as it gets smaller, gets very more compressed, and its temperature increases
Hence, both a and b options are correct.
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A driver takes her car to the market 40m in one direction then after shopping, she drives the car back to her house 40m in the opposite direction. What is the total displacement?
Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.
What is motion?The phenomenon of an item changing its position with respect to time is known as motion in physics. In mathematics, displacement, distance, velocity, and acceleration are used to explain motion.
Displacement is change in distance between two points.
Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.
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