The speed of the bullet is 721m/s as it leaves
The speed of the bullet is 937m/s as it enters block 1 .
From the question, we have
+x direction is to the right (so all velocities are positive valued).
(a) Applying momentum conservation,
(0.0035kg)ν=(1.8035kg)(1.4m/s)
⇒ν=721m/s .
(b) We use momentum conservation to connect the moment the bullet initially contacts the first block to the moment it has passed through it (using the speed v from section (a)).
(0.0035kg)V =(1.20kg)(0.630m/s)+(0.00350kg)(721m/s)
V =937m/s .
Linear Momentum:
The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.
Complete question:
a 3.50g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.20kg ) and embeds itself in block 2 (mass 1.80kg ). The blocks end up with speeds ν 1=0.630m/s and ν2 =1.40m/s (Fig.9-58b). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1 .
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Light reflecting from a smooth surface undergoes a change in:
a. frequency
b. speed
c. wavelength
4. none of the above
when light reflects on a smooth surface it undergoes no change in Speed, Wavelength and Frequency.
What is light?An electromagnetic wave called a light wave can go through the vacuum of space. Electric charges vibrate and create light waves. A transverse wave with both an electric and a magnetic component is known as an electromagnetic wave.
There is a huge variety of frequencies for electromagnetic waves. The electromagnetic spectrum is a continuous range of frequencies. White is the color that is seen when the entire visible light spectrum is received by your eye at once. Thus, visible light is sometimes referred to as white light. Technically speaking, white is not a color at all, but rather the combination of all the colors of the visible light spectrum
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during takeoff, the sound intensity level of a jet engine is 110 db at a distance of 26 m . part a what is the sound intensity level at a distance of 1.0 km ?
The sound intensity level at a distance of 1.0 km is 94.149 dB
The expression of the intensity of the sound is,
B=10log([tex]\frac{I}{Io}[/tex])
I=Io([tex]10^{\frac{B}{100} }[/tex])
= ([tex]10^{-12}[/tex])(10[tex]\frac{110}{10}[/tex])
= 0.1 W/[tex]m^{2}[/tex]
The new intensity of the sound is,
I' = [tex](\frac{r1}{r2}) ^{2} (I)[/tex]
= [tex](\frac{26m}{1000m} )^{2}(0.1W/m^{2} )[/tex]
= 0.00026W/[tex]m^{2}[/tex]
The intensity level of the sound is ,
β = 10log([tex]\frac{I}{Io}[/tex])= 10log([tex]\frac{0.0026W/m^{2} }{10^{-12 W/m^{2} } }[/tex])
= 94.149 dB
Sound intensity, also called sound intensity, is defined as the power carried by a sound wave per unit area in a direction perpendicular to that area. The SI unit of intensity, which includes sound intensity, is watts per square meter (W/m2). One application is the noise measurement of sound intensity in air at the listener's location as the amount of sound energy.
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a car starting at rest accelerates at 20 ft/s2 for 5 seconds on a straight road. how far does it travel during this time?
Distance travelled during this time is 250 ft.
Solution:
s = ut + 1/2 a[tex]t^{2}[/tex]
s = distance travelled
t = time taken, given = 5 s
a = acceleration, given = 20 ft/[tex]s^{2}[/tex]
Put these values in formula, s = ut + 1/2 a[tex]t^{2}[/tex]
s = ut + 1/2 a[tex]t^{2}[/tex] , Here, initial velocity is taken zero, so ut= 0.
s = 1/2 × 20× 5×5
s = 250 ft
Hence, distance travelled during this time is 250 ft.
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a motorcycle is being driven on a road moving north at 40 miles per hour. a car is driving on the same road moving south at 40 miles per hour. which of the following is true? a the motorcycle and car are moving at the same velocity and the same speed. b the motorcycle and the car are moving in opposite directions, so their velocities are different. c the motorcycle and the car are moving in opposite directions, so their speeds are different. d the motorcycle and car are moving at the same velocity but different speeds.
The motorcycle and the car are moving in opposite directions, so their velocities are different.
What is speed?Speed is the rate in which anyone travel.
In everyday use and in the kinematics, the speed of to every objects is the magnitude of the change of its own positions over the time or the magnitude of the change of its position per unit of the time; thus a scalar quantity.
A motorcycle is being driven by to the north on a road moving in the north at 40m per 1 hour. A car is driving on the same height the road moving at the south at 40m her 1 hour.
The motorcycle and a car are moving in to the opposite directions, so the velocities are different from each other.
As north and south both are opposite directions.
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What is the use of the IR Sensor?
a) Object Detection
b) Humidity Detection
c) Image Processing
d) GPS
The use of IR sensor is object detection (option A).
What are IR sensors?An infrared (IR) sensor is an electronic device that measures and detects infrared radiation in its surrounding environment.
Infrared is the electromagnetic radiation of a wavelength longer than visible light, but shorter than microwave radiation, having a wavelength between 700 nm and 1 mm.
IR is invisible to the human eye, as its wavelength is longer than that of visible light (though it is still on the same electromagnetic spectrum).
Therefore, IR sensors can be used to identify objects.
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how much acceleration does a 747 jumbo jet of mass 6999 kg experience in takeoff when the thrust for each of four engines is 5999 n? answer in units of m/s2.
The thrust for each of four engines is3.42 m/s^2.
Calculation:
F = 4 * 5999N = 23,996 N.
F = ma =23,996 ,
6999*a = 23,996 ,
a =23,996 / 6999 = 3.42 m/s^2.
How does acceleration work?Acceleration (a) is defined as the product of the change in velocity (v) and the change in time (t) in the equation a = v/t (t). You can use this to get the change in velocity in m/s2 (meters per second squared).
What is the average acceleration formula?The rate at which velocity changes is known as average acceleration: Where an is the average acceleration, v is the velocity, and t is the time, we have -a=vt=vfv0tft0. (Average acceleration is indicated by the bar ).
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a 1200-kg race car can go from rest to 65 mi/h in 2.0 seconds. what average power (in horse powers) is required to do this? one horse power, 1hp
The 1200-kg race car can go from rest to 65 mi/h in 2.0 seconds. average power (in horse powers) is required to do this is 169.9 horse power.
the kinetic energy is give below :
K.E = 1/2 mv²
where ,
m = mass = 1200 kg
v = velocity = 65
K.E = (1/2 ) × 1200 ( 65)²
K.E = 2535000 J
The power required for the car is :
P = K. E/t
= 2535000 J/ 2 s
= 1267500 W
1267500 W to horse power is given as :
1267500 W = 169.9 Horse power
Thus, average power (in horse powers) is required 169.9 Horse power.
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laser beams are sometimes used to burn away cancerous tissue.show answer no attempt what is the intensity, in watts per square meter, of a laser beam that is 90.0% absorbed by a 1.8-mm diameter spot of cancerous tissue and must deposit 525 j of energy to it in a time period of 4.25 s?
The intensity of the beam is 1.21*10^7 W/m^2 and the intensity is define as number of photons per unit time.
Radiation beam is energy in the form of waves of particles. There are two forms of radiation which are non-ionizing and ionizing.
Non-ionizing radiation has less energy than ionizing radiation; it does not possess enough energy to produce ions.
Ionizing radiation is capable of knocking electrons out of their orbits around atoms, upsetting the electron/proton balance and giving the atom a positive charge.
Alpha radiation consists of alpha particles that are made up of two protons and two neutrons each and that carry a double positive charge. Due to their relatively large mass and charge, they have an extremely limited ability to penetrate matter.
We know that,
Iabsorbed=P/A ------(1)
where P is the power and A is the area.
P= E/t-------(2)
using (2) and (1)
Iabsorbed=E/tA-----(3)
Now area,
A=πr^2 = 1.19*10^-5 m^2
putting in (3), we get
Iabsorbed = 1.09*10^7 W/m^2
Given only 90% of the beam is absorbed So,
I/100=1.19*10^-5/90
Now the intensity is,
I=1.19*10^-5*100/90
I=1.21*10^7 W/m^2.
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b. science-fiction films sometimes show starships being buffeted by turbulence as they fly through gas clouds such as the lagoon nebula. does this seem realistic? why or why not?
A hydrogen gas cloud 3900 light-years away from the earth is called the Lagoon Nebula . Due to its high temperature of 7500 K, the cloud, which has a diameter of around 45 light-years, glows.
When flying over turbulence, is it safe?The most crucial fact is that turbulence is not dangerous. Despite the discomfort, your plane is designed to withstand the worst. Your aircraft isn't moving near as much as you might believe, even in the worst turbulence!
What occurs in turbulence?When an airplane flies through erratic or ferocious air waves, it creates turbulence. As a result, the aircraft will yaw, pitch, or roll as it moves through the air. Turbulence can be compared to the collision of two oceans.
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A table is holding a giant 23-kilogram bowl of Frosted Flakes you poured this morning. You are super hungry! Which of Newton’s laws of motion explain why the bowl of Frosted Flakes can be held up by the table?
Newton's first law of motion is applied .
What is meant by newton's first law ?First Law of Motion of Newton (Inertia) Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace.
According to Newton's first law, if a body is at rest or moving in a straight line at a constant speed, it will continue to move at that speed or remain at rest until acted upon by a force.
According to Newton's First Law, a body in uniform motion or at rest will remain in that state up until and unless a net external force acts on it.
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a 1.6 mm -long string is fixed at both ends and tightened until the wave speed is 50 m/sm/s.
The equation for velocity is typically written as v = f x lamda, which means that f1 x lamda1 = f2 x lamda2 and that 24 x 2L/n = 36 x 2L/n+1 and 2/n = 3/n+1 and n = 2
What is the equation for a string's wave speed?The linear density and tension v=FT can be used to determine the wave's speed. According to the equation v = FT, the tension would need to be increased by a factor of 20 if the linear density was to grow by a factor of almost 20.
How is speed determined?Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate. Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.
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now assume that the mass of particle 1 is 2m , while the mass of particle 2 remains m . if the collision is elastic, what are the final velocities v1 and v2 of particles 1 and 2?
The collision is elastic, the final velocities v1 and v2 of particles 1 and 2 (v₁, v₂) = [(v/3), (4v/3)] Or (v₁, v₂) = (v, 0)
In elastic collisions, the momentum and kinetic energy is usually conserved.
The momentum before collision = momentum after collision
And
Kinetic energy before collision = Kinetic energy after collision
Momentum of object 1 before collision = (2m)v = 2mv
Momentum of object 2 before collision = (m)(0) = 0
Momentum of object 1 after collision = (2m)(v₁) = 2mv₁
Momentum of object 2 after collision = (m)(v₂) = mv₂
So, we have
2mv = 2mv₁ + mv₂
2v = 2v₁ + v₂
v₂ = 2v - 2v₁ (eqn 1)
Kinetic energy of object 1 before collision = (1/2)(2m)(v²) = mv²
Kinetic energy of object 2 before collision = (1/2)(m)(0²) = 0
Kinetic energy of object 1 after collision = (1/2)(2m)(v₁²) = mv₁²
Kinetic energy of object 2 after collision = (1/2)(m)(v₁²) = (mv₂²/2)
So, we have,
mv² = mv₁² + (mv₂²/2)
v² = v₁² + (v₂²/2)
2v² = 2v₁² + v₂² (eqn 2)
Substitute (v₂ = 2v - 2v₁) from (eqn 1) into (eqn 2)
2v² = 2v₁² + (2v - 2v₁)²
2v² = 2v₁² + 4v² - 8vv₁ + 4v₁²
6v₁² - 8vv₁ + 2v² = 0
6v₁² - 6vv₁ - 2vv₁ + 2v² = 0
6v₁(v₁ - v) - 2v(v₁ - v) = 0
(6v₁ - 2v)(v₁ - v) = 0
6v₁ = 2v or v₁ = v
v₁ = (v/3) or v₁ = v
If v₁ = (v/3)
From (eqn 1)
v₂ = 2v - 2v₁
v₂ = 2v - 2(v/3)
v₂ = 2v - (2v/3)
v₂ = (4v/3)
If v₁ = v,
From eqn 1,
v₂ = 2v - 2v₁
v₂ = 2v - 2v = 0
(v₁, v₂) = [(v/3), (4v/3)]
Or
(v₁, v₂) = (v, 0)
The collision is elastic, what are the final velocities v1 and v2 of particles 1 and 2 (v₁, v₂) = [(v/3), (4v/3)] Or (v₁, v₂) = (v, 0)
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(a) Consider a cart on a spring which is critically damped. At time t = 0, it is sitting at its equilibrium position and is kicked in the positive direction with velocity
v_o.
Find its position x(t) for all subsequent times and sketch your answer. (b) Do the same for the case that it is released from rest at position
x = x_o.
In this latter case, how far is the cart from equilibrium after a time equal to
τ_o = 2π/ω_o
the period in the absence of any damping?
The required position is: 0.0136π
What is equilibrium?
Equilibrium, in physics, the state of a system when neither its state of motion nor its internal energy state tend to change over time. A simple mechanical body is in equilibrium when it experiences neither linear nor angular acceleration. This state will continue indefinitely unless disturbed by an external force. Equilibrium occurs for a single particle when the vector sum of all forces acting on the particle is zero. A rigid body (which by definition differs from a particle by its properties of extension) is in equilibrium when, in addition to the states listed above for particles, the vector sum of all torques acting on the body is equal to zero, Its state of rotational motion remains constant. An equilibrium is said to be stable when a small externally induced displacement from that state produces a force opposing the displacement tending to bring the body or particle back into equilibrium. Examples include weights suspended from springs or bricks placed on a flat surface.
Therefore, The required position is: 0.0136π
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calculate the x component and the y component of the vector with magnitude 24.0 m and direction 56.0degree
The X component was 13.4m and the Y component was 19.9m.
define magnitude ?
A crucial question in science is undoubtedly what is magnitude in physics. Magnitude is a term used to describe size or distance. We can connect the amount of the movement to the size and movement speed of the item.
The magnitude of a thing or a quantity is its size. A automobile moves at a quicker pace than a motorcycle, just like in terms of speed. In this situation, the car's speed is greater than the motorbike's. Let's now talk about what magnitude means in physics.
y=m sin(∅)
x=m cos(∅)
y=2+sin(56)=19.89
=19.89 ≈ 19.9m
x=2+cos(56)=13.42
=13.42≈13.4m
The X component was 13.4m and the Y component was 19.9m.
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A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg•m2. if the arms are pulled in so the moment of inertia decreases to 1.80 kg•m2, what is the final angular speed?
A) 2.25 rad/s
B) 6.25 rad /s
C) 0.81 rad/s
D) 4.60 rad/s
a 1.0 kg wooden block and a 100 kg platinum block can both slide without friction on a horizontal surface. if the wooden block is pushed with half the force, but for twice the amount of time as the platinum block, which block has a greater final momentum? assume each block starts from rest.
Each block is pushed once from rest using half as much force on the wooden block and twice as long on the platinum block before reaching equal momentum.
According to Newton's second law, F = ma = Δp / Δt
If both starts from rest,
So, Momentum, p = F t
For gold block,
pg = F ( t ) = F t
For plastic block,
pp = 2 F ( t / 2 ) = F t
Momentum, or how much mass is moving through how much space, is used to measure mass in motion. Usually, it begins with the letter P.When a body is moving, its "momentum"—the amount of force it can exert on another body—can be thought of as its "power." Whether a body is being pulled or pushed, force is typically defined as an outside action. On the other hand, momentum refers to the quantity that describes how much motion exists within a moving body.
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Neural convergence results in ____ sensitivity and _____ acuity.
Select one:
a. decreased; decreased
b. increased; decreased
c. decreased; increased
d. increased; increased
Neural convergence results in increased sensitivity and decreased acuity.
Convergence allows a neuron to receive input from many neurons in a network. Lateral inhibition. A presynaptic cell excites inhibitory interneurons and they inhibit neighboring cells in the network. Neural convergence occurs when a number of neurons synapse onto a single neuron. -The greater convergence of the rods compared to the cones translates into 2 differences in perception: -The rods result in better sensitivity than the cones. -The cones result in better detail vision than the rods.
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the primary coil of a transformer has n1 5 350 turns, and the secondary coil has n2 5 2 000 turns. if the input voltage across the primary coil is dv 5 170 cos vt, where dv is in volts and t is in seconds, what rms voltage is developed across the secondary coil?
The rms voltage developed in secondary coil is 971.42 volt.
A transformer is the simplest device used to transfer electrical energy from one AC circuit to another through the process of electromagnetic induction. A transformer either increases AC voltage (step-up transformer) or decreases AC voltage (step-down transformer). Transformers, which are typically used to transmit and distribute AC power, are essentially voltage regulators. Transformers serve a variety of purposes, such as stepping up the voltage of generators to transmit power over long distances, or stepping down the voltage of traditional electrical circuits to power low-voltage devices such as doorbells and toy trains.The term RMS is an abbreviation for Root Mean Square. RMS voltage is defined as the square root of the mean square of the instantaneous value of the voltage signal. The rms value is also called the root mean square. RMS voltage can also be defined as the integral of the square of the instantaneous value during a cycle of continuously varying voltage.
[tex]\frac{V2}{V1}=\frac{N2}{N1}[/tex]
V2= 2000 x 170/350=971.42 volt
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how much tension must a rope withstand if it is used to accelerate a 3074 kg car vertically down at 9.1 m/s^2 .
Tension must a rope withstand is 2.182kN
Tension is described stress transmitted axially by a cord, rope, chain, or similar object, or through the ends of a rod, truss, or similar three-dimensional object. Stresses can also be described as pairs of acting and reaction forces acting at each end of the element. Tension may be the opposite of compression. At the atomic level, a restoring force can create what is called stress when atoms or molecules are pulled apart and gain potential energy while the restoring force is still present. An end of a cord or rod under such tension can pull on the object to which it is attached to return the cord or rod to its relaxed length.
Solution:
Assuming only tension and gravity act on the car,
T+mg=ma
T=m(g+a)
=3074*(9.81 - 9.1) N
=2.182 kN which is the tension the rope must withstand.
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4) Two people are pulling on a chain in opposite directions with forces of 500 N and 600 N. The
forces would best be described as ____.
A) balanced forces
B) unbalanced forces
C) action-reaction forces
D) gravitational forces
Answer: B) unbalanced forces
Explanation:
500 N and 600 N are not equal to each other. The two people are also pulling on the chain in opposite directions. Using these given pieces of information, we can decide that the answer is unbalanced forces acting upon the chain.
500 N ≠ 600 N
a 100 kg person is riding a 10 kg bicycle up a 25o hill. the hill is long and the coefficient of static friction is 0.9. the person rides 10 m up the hill then takes a rest at the top. if she then starts from rest from the top of the hill and rolls down a distance of 7 m before squeezing hard on the brakes locking the wheels. how much work is done by friction to bring the bicycle to a full stop, knowing that the coefficient of kinetic friction is 0.65? draw an fbd and use the work formula and/or the work-energy principle.
The work done by the person is -1905.15 J.
What is work done?Work is defined in a way that takes into account both the forces applied to the body and the total displacement of the body. A constant force F comes before this block. This force's objective is to move the body a specified amount (d) of distance in a straight line in the force's direction.
F = [tex]\mu_{k}[/tex]N
N = mgcos(25°)
So, the work done by force of friction is given as
W= f· BC cos (180°)
= - [tex]\mu_{k}[/tex] mg cos(25°) ×BC
= -0.65 ×(100+10)9.8 ×cos(25°) ×3
= -1905.15 J
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The reactivity phenomenon of self-monitoring procedures has been shown to
O increase desired behaviors,
O decrease undesired behaviors.
O both increase desired behaviors and decrease undesired behaviors.
O neither increase desired behaviors nor decrease undesired behaviors.
The reactivity phenomenon of self-monitoring procedures has been shown to Option C:both increase desired behaviors and decrease undesired behaviors.
Self-monitoring, a term coined by Mark Snyder in the 1970s, refers to the degree to which individuals keep an eye on how they come across, how they act expressively, and how they act emotionally nonverbally. According to Snyder, human beings generally differ significantly in their capacities and motivations for engaging in expressive controls (see dramaturgy).
Self-monitoring is a personality feature that is used to describe the capacity to control conduct to meet social circumstances. In order to assure proper or desired public appearances, people who are concerned with their expressive self-presentation (see impression management) prefer to pay great attention to their audience. Self-monitors make an effort to comprehend how other people and groups will view their behaviour. Some personality types commonly act spontaneously (low self-monitors) and others are more apt to purposely control and consciously adjust their behavior (high self-monitors).
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a long wire with a square cross-section 13 cm on a side carries a current of 10 a that is uniformly distributed over the cross-section of the wire. what is the value of the integral along a square with side length 8 cm concentric with the wire and with sides parallel to those of the wire?
The value of the integral along a square with side length 8 cm concentric with the wire and with sides parallel to those of the wires 4.7*10^-6 I-m.
The integral around a closed path of the component of the magnetic field tangent to the direction of the path equals µ0 times the current intercepted by the area within the path.
§ B.ds=UoI
Thus the line integral (circulation) of the magnetic field around some arbitrary closed curve is proportional to the total current enclosed by that curve.
Ampere’s Law can be useful when calculating magnetic fields of current distributions with a high degree of symmetry (similar to symmetrical charge distributions in the case of Gauss’ Law)
The total magnetic circulation is zero only in the the enclosed net current is zero, the magnetic field is normal to the selected path at any point the magnetic field is zero.
According to the amperes law,
§ B.ds=UoI
I is the current through Amperian loop
So,here I= A² Io/Ao^2 (as current is uniformly distributed)
= 8^2*10/13*13 = 3.79A
§ B.ds=UoI
= 4π*10^-7*3.79
= 4.7*10^-6 I-m
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the astronaut must make water for himself and for his plants. for just the astronaut, how much water is lost each day and how is it lost? choose the best answer.
He may shiver to increase body temperature. and 2.5 liters are lost each day, and most of it is lost through a combination of the kidneys and GI tract with a little more lost through respiration.
He may shiver to increase body temperature. Average temperature of a healthy human adult it 36.8 °C. Hypothermia can set in if it drops below 35 °C. Insensible perspiration is the main source for loss of heat from body, so the body will try to minimise it.He may shiver to increase body temperature. Average temperature of a healthy human adult it 36.8 °C. Hypothermia can set in if it drops below 35 °C. Insensible perspiration is the main source for loss of heat from body, so the body will try to minimise it. Water is something that many of us take for granted on Earth, but finding it in space is more difficult. The International Space Station (ISS) uses chemicals to recycle a large portion of its water, but it still needs significant shipments of water from Earth to supply its astronauts with clean water.
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Correctly label the components of the lungs. Lobar bronchi Middle lobe Superior lobe Inferior lobe Pulmonary arteries Pulmonary veins Hilum Reset Zoom Prex 7 of 50 Novt
circulation of blood between the heart and lungs, then to the heart.
Lungs.bronchi, or bronchial tubes.Bronchioles.an air sac (alveoli)
How should the lungs be arranged?In the lung, the trachea splits into two main bronchi, which then branch into more tertiary and secondary bronchi and lastly into bronchioles.
The lungs are composed of what 5 parts?The three lobes that make up the right lung are indeed the right upper lobe (RUL), right middle lobe (RML), & right lower lobe (RLL) (RLL).Left upper lobe (LUL) & left lower lobe (LLL) make up the left lung's two lobes (LLL)
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a weather emergency siren is mounted on a tower, 177 m above the ground. on one hand, it would be a good idea to make the siren very loud so that it will warn as many people as possible. on the other hand, safety regulations prohibit the siren from exceeding an intensity level of 121 db for workers standing on the ground directly below the siren.assuming that the sound is uniformly emitted, what is the maximum power that the siren can put out?
The maximum power that the siren can put out is 4.921 x 10^8 Watts.
The maximum power that the siren can put out will depend on the sound pressure level (SPL) at a distance of 177 m from the siren. The SPL is determined by the inverse square law, which states that the intensity of a sound wave decreases in proportion to the square of the distance from the source.
Therefore, the SPL at a distance of 177 m from the siren can be calculated using the following equation:
SPL = SPL_0 - 20 log (177/1)
where SPL_0 is the initial SPL at a distance of 1 m from the siren.
Assuming that the SPL at 1 m from the siren is 130 dB, then the SPL at 177 m from the siren is:
SPL = 130 - 20 log (177/1) = 121 dB
Since the safety regulations require that the SPL does not exceed 121 dB at a distance of 177 m from the siren, the maximum power that the siren can put out is the power required to generate a SPL of 121 dB at a distance of 177 m.
The power required can be calculated using the following equation:
Power = 10^(SPL/10) * (4 * pi * (177 ^2))
where pi = 3.14
Therefore, the maximum power that the siren can put out is:
Power = 10^(121/10) * (4 * 3.14 * (177 ^2)) = 4.921 x 10^8 Watts
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Consider a 100-kg box of tools in the locations A, B, and C from greatest to least, rank the masses of the 100-kg box of tools.
A) Earth
B) Moon
C) Jupiter
The arrangement of the masses at each point would give us;
Earth = Moon= Jupitar
The arrangement of the weights would give;
Moon < Jupitar < Earth
What is the masses of the tools?We know that mass is a measure of the quantity of matter that is present in a body. We can also define the mass of a body as the measure of the inertia of the body. The term inertial has to do with the reluctance to move. Hence, as the reluctance of an object towards motion is increasing, the inertia of the body is also on the increase.
We know that the mass of the object would not change. This is because the mass of an object is a constant. Whether on the moon, on the sun or on Jupiter, the mass of the object is not going to change.
However, the weight of the object has to do with the gravitational pull of the object. This implies that the point where the gravitational pull is greatest, the weight of the object would be greatest.
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a bullet of mass 0.02 kg initially moving at 800 m/s is shot into a wooden block of mass 5 kg, where the block is initially at rest. the bullet collides with the block and sticks inside of the block, and this whole system then slides along a horizontal surface with friction until coming to a complete stop. if the bullet-block system comes to rest after a time of 1s, determine the coefficient of kinetic friction between the horizontal surface and the bullet-block system.
The coefficient of kinetic friction between the horizontal surface and the bullet-block system is 4m/s .
The coefficient of kinetic friction is a numerical value that quantifies the intensity of friction of one sliding surface relative to another.
Also known as the coefficient of kinetic friction, it measures the extent of material grip between a moving object and its contact surface.
Recall that there are three types of dry friction: static friction, kinetic friction, and rolling friction.
Although the coefficient of kinetic friction is higher than the coefficient of rolling friction, it is still lower than the coefficient of static friction.
The force of static friction is greater than kinetic and rolling friction.
Therefore, more force is required to initiate motion when the object is at rest, but once motion is initiated, less force will be required to maintain the motion.
Rolling objects usually have the lowest coefficient of friction due to the minimal contact area.
m1 = 20 g = 0.02 kg
m2 = ( 980 g + 20 g ) = 1 kg
v1 = 200 ms-1
v2 =?
m1 v1 = m2 v2
0.02 kg x 200 ms-1 = 1 kg x v2
1 kg x v2 = 4 kg ms-1
v2 = 4ms-1
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what is the charge on each capacitor in the figure, if δv = 14 v
The charge on each capacitor is Q1 = 70 µC ,Q2 = 8.4 v , Q3 = 5.6 v
Q1 = C V = 5 10^-6 * 14 = 70* 10^-6 C = 70 µC
V1 = 14 V
C2 and C3 in serial CT = C2 *C3 / ( C2 + C3 ) = 4*6 / 10 = 2.4 µF
QT = 2.4 10-6 * 14 = 33.6 * 10^-6 C = 33.6 µC
Q C2 = Q C3 = Qt = 33.6µC
V C2 = Qt / C2 = 33.6 10^-6 / 4 10^-6 = 8.4 v
VC3 = Qt / C3 = 33.6*10^-6 / 6*10^-6 = 5.6 v
An electrical component known as a capacitor stores potential energy. On two distinct plates separated by an insulator, capacitors store both positive and negative energy. The term "capacitor" refers to a device for storing electrical energy that consists of two conductors that are isolated from one another and placed close to one another.
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1 pts D.A.V.E." is an acronym that helps you assign function (sensory vs. motor) to various structures in he central nervous system. The function of which of the following structures can not be esolved by thinking of DAVE?
O ventral root of a spinal nerve
O dorsal ramus of a spinal nerve
O posterior (dorsal) gray horns of the spinal cord
O anterior (ventral) gray horns of the spinal cord
option b) dorsal ramus of a spinal nerve, is correct answer.
Describe the spinal nerve.
In order to modulate motor and sensory information from the body's periphery, spinal nerves, which are mixed nerves, directly communicate with the spinal cord. Each nerve is made up of fila radicular, or nerve fibers, that originate from the ventral and dorsal roots of the spinal cord.
What are the functions of spinal nerves?
Between your brain, spinal cord, and the rest of your body, your spinal nerves transmit electrical messages. You may move your body and perceive feelings thanks to these electrical nerve signals (sensory nerve) (motor nerves).
What 31 spinal nerves are there?
There are 31 pairs in humans, including 8 cervical, 12 thoracic, 5 lumbar, 5 sacral, and 1 coccygeal. Each pair joins a certain part of the body to the spinal cord. Each spinal nerve splits into two roots close to the spinal cord.
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