Answer:90g for 70km
Explanation:
Dr. Amari is investigating whether automobile accidents in her city increase, decrease, or stay the same 24 hours after daylight savings (this is when the time changes to one hour earlier). She looks up public records at the police station and documents any accidents and notes the dates and times.
Dr. Amari discovers a trend. She finds that accidents do seem to increase right after clocks are reset to an hour earlier.
Which one of the following research techniques is Dr. Amari using?
A. naturalistic observational research
B. archival research
C. experimental research
D. survey research
Since Dr. Amari finds that accidents do seem to increase right after clocks are reset to an hour earlier. The research techniques that Dr. Amari using is B. archival research.
What is archival research?Archival research is any investigation that looks for, locates, and extracts data and proof from original archives. Archives are documents, records, and other sources pertaining to the actions and claims of people, groups, or both that are historical and not current.
Note that The term "data collection techniques" refers to procedures for gathering and analyzing various types of data. Examining papers pertaining to a topic, as well as conducting interviews and observations, are common methods of gathering data.
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a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 5.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do? a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 5.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do? 20.4 j 9.41 j 23.5 j 1.57 kj 15.7 j
Work she did 1.57kj.
Option d is correct
How do kinetic and static friction differ?Kinetic and Static Friction The friction that exists between two systems when they are in touch and immobile with respect to one another is known as static friction. Kinetic friction is the friction that occurs when two systems are in contact and moving in relation to one another.
F(net) = F(applied) - F(friction)
0 = F(applied) - F(friction)
F(applied) = F(friction) (1)
Work done = F(applied) *(desk travel distance)
From 1
Work done = F(friction)*(desk travel distance)
W = µNd
W = µmgd
W = (0.400)(80.0 kg)(9.81 m/s²)(2.00 m)
W =1568 J ← work done to move the desk.
W = 1.57kj
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a pushing force of 7 n to the right is applied to a book on a table. a frictional force of 3 n is applied in the opposite direction. in which direction will the book move? (1 point)
The book will move in the right direction as the pushing force is greater than the frictional force.
What is the net force?The net force can be defined as the vector sum of all forces acting on an object. The net force is defined as a single force giving same the effect as the original forces on the object's motion.
The net force becomes the resultant force with the same effect on the rotational motion as all original forces took together by the object.
In the question, the pushing force will act in the opposite direction of the frictional force so we can find the net force by subtracting these two forces.
Given, the pushing force to push the box = 7N
The frictional force on the book, = 3 N
The net force on the book = 7N + (-3N) = 4N
Therefore, the net force act in the direction of the pushing force, therefore, the book will move in the right direction.
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Answer:The book will move to the right.
Explanation:
A rocket is burning fuel at the rate of 300g/s and electing all the gas. In one direction of the rate of 500m/s what is maximum weight the rocket burn have if it going to move Vertically upward.
Correct option is D)
Overall momentum of the system is conserved.
Therefore, change in momentum of the rocket will be equal to that of the fuel.
Change in momentum of the fuel will be
Δmv=60000
Hence, change in momentum of the rocket will also be:
△P=60000
Thrust force F=
△t
△p
F=60000 N
the airplane in the image below is flying horizontally (parallel to the ground) with a velocity of 65.0 m/s and an altitude of315 m when it releases a care package. if we ignore air resistance, how far (measured in meters)will the package travel along the horizontal,x-dimension (range) before hitting the ground?
The package travel along the horizontal 516.1 m before hitting the ground.
When an object was released from a plane with a constant speed, the object also has a gravity force. So the object has a projectile motion.
Along the x-axis, the object gets uniform velocity.If the problem didn't give the magnitude of the acceleration due to gravity, we can assume it's 10 m/s².
Calculate elapsed time.
[tex]h = \frac{1}{2} gt^2[/tex]
[tex]315 = \frac{1}{2} \times 10 \times t^2[/tex]
315 = 5 × t²
[tex]t^2 = \frac{315}{5}[/tex]
t² = 63
[tex]t = \sqrt{63}[/tex]
t = 7.94 s
Calculate the displacement.
d = uₓ × t
d = 65.0 × 7.94
d = 516.1 m
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which relationship best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius?
the object's speed and centripetal acceleration in a circle with a constant radius is the exponential curve going up.
acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is constantly shifting, motion on a circle accelerates even when the speed is constant. Both effects add to the acceleration for all other types of motion.
It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change over a given period of time, divided by that period of time, is the definition of acceleration. The upper limit of the ratio of velocity change provides instantaneous acceleration (at a specific time and place).
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how did eratosthenes estimate the size of earth in 240 b.c.? how did eratosthenes estimate the size of earth in 240 b.c.? by measuring the size of earth's shadow on the moon in a lunar eclipse by comparing the maximum altitude of the sun in two cities at different latitudes on the summer solstice by sending fleets of ships around earth by observing the duration of a solar eclipse we don't know how he did it since all his writings were destroyed.
By analyzing the Sun's position information at two separate sites on the earth's surface, Eratosthenes, a Greek library in Alexandria, Egypt, discovered the moon's gravity in the third century BCE.
What is the meaning of the solstice?The solstice marks the time of year when the Sun appears to be at either its lowest or highest point in the sky. Because of this, ancients came to refer to this day as one when the Sun popped up to stand still. The word solstice is derived from the Latin words sol, which means "Sun," and sistere, which means "To Stand Still."
What takes place on the solstice?The Earth's axis tilts most nearly toward the sun twice a year during what are known as the solstices. The longest day is experienced in the hemisphere that is inclined closest toward our star.
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On a distance vs. time graph for an object, a line segment that is sloping upward indicates (1 point)
O motion in the positive direction.
O motion in the negative direction.
Othat the object is speeding up.
O that the object is accelerating.
If the line segment is slopping up, what that means is that the object is speeding up.
What is a graph?The term graph has to do with a plot that is shown on the x - y Cartesian plane that a vertical and a horizontal axis. In the distance vs. time graph, the distance is plotted on the vertical axis and the time is plotted on the horizontal axis.
We know that a line could be drawn that joins the plots in a graph. The slope if the graph can be obtained from this line of best fit that is obtained from the graph. This line could be moving upwards or downwards.
If the line is moving downwards, it means that the slowing down but a motion in the upwards direction could mean that the object is speeding up. Thus we have an increase in the speed of the object as the object is in motion.
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Answer:
motion in the positive direction
Explanation:
Remember "a straight line indicates a constant velocity"
ssm a warehouse worker exerts a constant horizontal force of magnitude 85 n on a 40 kg box that is initially at rest on the horizontal floor of the warehouse. when the box has moved a distance of 1.4 m, its speed is 1.0 m/s. what is the coefficient of kinetic friction between the box and the floor?
The coefficient of the kinetic friction between the box and the floor is μk 0.21.
Friction is the force resisting the relative motion of strong surfaces, fluid layers, and fabric elements sliding against every different. There are several sorts of friction: Dry friction is a pressure that opposes the relative lateral movement of two solid surfaces in touch.
Calculation:-
Given,
mass = 40 Kg
Applied force F = 85 N
initial velocity u = 0 (rest)
distance moved = 1.4 meter
Final velocity = 1 m/s
coefficient of kinetic friction =?
Normal force = N = mg = 400 N
v² = u² +2as
a = v²/2s
= 1/2×1.4
= 0.36 m/s²
F = μkN
μk = F/N
= 85/400
0.21
Friction is a shape of touch pressure. It exists between the surfaces which are in touch. The frictional force relies upon on the person of the surface in contact. The rougher the floor, the greater the friction is involved. The frictional force is proportional to the urgent pressure, this is the weight of the body. it's far impartial of the place of the touch.
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An electric pace heater draw 25. 0 A from a 200 V ource. It i operated, on the average, for 10. 0 h each day. At AED 0. 30 per kWh, how much doe it cot to operate the heater for 15 day?
The consumption to operate the heater for 15 days is $2.25
Electricity consumption refers to all of the electricity used to perform a movement, manufacture something, or definitely inhabit a construction. here are some examples: In a manufacturing unit, overall electricity consumption can be measured with aid of looking at how lots power a manufacturing technique consumes, for instance, via making car elements.
The full-strength intake consists of that of coal, crude oil and their products, natural gasoline, and electricity, but, it excludes the intake of gas of low calorific fee, bio-strength, and solar energy.
Calculation:-
Voltage (V) = 200 V
Current (I) = 25 A
Power (P) = VI = 200 * 25 = 5,000 W
Now, the calculation of the energy consumption for 15 days in KW/h
We will convert W to kW,
1000 W = 1kW
Therefore,
5,000 W = 5000 W × 1 KW / 1000 W = 5kW
The daily energy consumption will be calculated. This is attainable as follows,
P = 5kW
Time(t) = 10 h
Energy (E) = P/t = 5/10 = 0.5 kW/h per day.
Finally, we will calculate the energy usage for the next 30 days. This is attainable as follows:
1 day = 0.5 kW
Cost of one day = 0.5 * 0.30 = $ 0.15
Now, the cost to operate the heater for 15 days = $ 15 * 0.15 = $2.25
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a 500.0 kg elevator is pulled upward with a constant force of 5500.0 n for a distance of 50.0 m. what is the work done by the 5500.0 n force on the elevator?
The work done by the constant force to pulled the elevator upward is 275000 Joules.
The work done by any force is given by,
W = Fa
Where,
W is the work done,
F is the force applied,
s is the displacement along the direction of the force,
The force applied on the elevator to pull it upward is 5500N and the distance to which the elevator is pulled is 50 m.
Now, putting values,
W = 5500(50)
W = 275000 Joules.
So, the work done by the force to pull the elevator upward is 275000 Joules.
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Question 1(Multiple Choice Worth 2 points)
(05.01 LC)
Historically, what technique was used to release the "evil" that caused disease?
A- Antibiotics
B- Isolation
C- Lobotomy
D- Trepanning
Question 2(Multiple Choice Worth 2 points)
(05.01 MC)
With which of the following statements would René Descartes likely agree?
A- The mind and body cannot be separated, therefore physical illness and mental illness cannot be separated.
B- The mind and body can be separated, therefore physical illness and mental illness can be treated differently.
C- Physical illness is more serious than mental illness and deserves prompt attention.
D- Mental illness is more serious than physical illness and deserves prompt attention.
Question 5(Multiple Choice Worth 2 points)
(05.01 MC)
Which of the following was a negative consequence of deinstitutionalization?
A- Even the most severely ill were able to live freely outside of the hospital setting.
B- Individuals with mental illness were able to resume their relationships with friends and family.
C- Many people with mental illness did not continue treatment once released.
D- The stigma associated with mental illness decreased.
The technique that was used to release the "evil" that caused disease is Trepanning.
Option D is correct.
René Descartes would likely agree with the statement that The mind and body cannot be separated, therefore physical illness and mental illness cannot be separated. So option B is correct.
One of the negative consequence of deinstitutionalization was Many people with mental illness did not continue treatment once released.
So option C is correct.
What is trepanning?Trepanning, also known as trepanation, trephination, trephining or making a burr hole, is described as a surgical intervention in which a hole is drilled or scraped into the human skull.
Deinstitutionalization well-intended move was predicated on the development of a community mental health center network. But it had unintended consequences, which is that many deinstitutionalized mentally ill clients have been forced onto the street with little or no treatment.
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Answer:
A
Explanation:
a current of 1.80 a flows in a wire. how many electrons are flowing past any point in the wire per second?
Any point in the wire has 1.12 x [tex]10^{19}[/tex]. electrons flow per second.
What causes a current in a wire?Electric current in a wire, where electrons serve as the charge carriers, is a measurement of the amount of charge that moves through any point of the wire in a given amount of time.A free electron is drawn to a proton to become neutral if an electron is added to the wire.Lack of electrons can result from pushing electrons out of their orbits.Electric current is the name given to the constantly moving electrons in wire.The current is the quantity of charge Q flowing through a certain point of the wire in a time interval of [tex]\Delta t[/tex].
I = [tex]\frac{Q}{\Delta t}[/tex].
by using this relationship
I=1.80 A, we can find the charge passing any point in the wire in 1 second:
Electric Charge, Q = 1.80 C.
To find how many electrons corresponds to this charge, we should divide this value by the charge of a single electron
charge of the electron = 1.6 x [tex]10^{-19}[/tex] C.
No. of Electrons = Q/q = [tex]\frac{1.80}{1.6* 10^{-19}}[/tex]= 1.12 x [tex]10^{19}[/tex].
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a 65-kg boy and a 45-kg girl use an elastic rope while engaged in a tug-of-war on an icy, fricktionless surface. if the acceleration fo the girl toward the boy is 3.0 m/s^2, find the magnitude of the acceleration of the boy toward the girl.
The magnitude of the acceleration of the boy toward the girl was 0.82 m/s².
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.
Calculation:-
mass of girl = 45 kg
acceleration of girl = 3 m/s²
F = ma
= 45 × 3
= 135 N
According to newton's third law equal but the opposite force is applied to the boy towards the girl.
135 = 65 × a
a = 135/165
= 0.82 m/s²
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.
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what is the radius of an object turn if the acceleration is 1.4m/s^2 and has a velocity of 5.3 m/s
Answer:
Radius 20 m.
Explanation:
Given:
aₙ = 1.4 m/s²
V = 5.3 m/s
___________
R - ?
Centripetal acceleration:
aₙ = V² / R
Radius:
R = V² / aₙ
R = 5.3² / 1.4 ≈ 20 m
a transformer consists of two coils of wire wound on a common toroidal iron core. the mutual inductance of the pair is 184 mh and the current in the first coil decreases from 53 a to 0 in 1.4 s. what is the induced emf in the second coil? answer in units of v.
The second coil's induced emf is 13,652.8 V.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
Determine the induced emf.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
given,
I(t) = I₀ sin(ωt),
M = 184 H, I₀ = 1.4 A, ω = 53 rad/s.
a) magnitude of induced emf in terms of M and I
ε₂ = - M di/dt
The induced emf in the second coil is,
184 * 1.4 * 53 = 13,652.8 V.
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The induced emf in the second coil is 13,652.8 V.
What is induced emf?When a bar magnet is moved into and out of the coil, an emf is produced in the coil. Motion in opposing directions generates emfs of the opposite signs, and reversing the poles likewise reverses the emfs. The relative motion is what matters; if the coil is moved instead of the magnet, the same effects are obtained. The induced emf is equal to (BA cos) = − d/dt. The magnetic field's strength might fluctuate over time. The area that the loop encloses is subject to vary throughout time. With time, the magnetic field's angle with the loop's normal can change.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
given,
I(t) = I₀ sin(ωt),
M = 184 H, I₀ = 1.4 A, ω = 53 rad/s.
a) magnitude of induced emf in terms of M and I
ε₂ = - M di/dt
The induced emf in the second coil is,
184 * 1.4 * 53 = 13,652.8 V.
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Fill in the information below using the knowledge you just learned of the periodic table.
1. What is the name of this element?
2. What is the atomic number of this element?
3. What is the atomic mass of this element?
4. What is the symbol for this element?
you see a manned aircraft in the distance while flying your drone at night. on the left, you're seeing a green light. on the right, you're seeing a red light. which direction is the aircraft headed?
The airplane is heading away from us when we see a manned aircraft in the distance while flying our drone at night.
Distance is the length between two points or items, and it is directionless. Since distance is a scalar attribute, it only takes into account the overall magnitude and ignores the start and end locations. Being a scalar attribute, distance may only be positive or zero; it cannot be the opposite.
Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to express shorter distances, the meter (m) is the most used unit of measurement for distance (mm). When calculating distance, the letter D is usually used to denote the distance traveled.
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a spring with an m-kg mass and a damping constant 10 (kg/s) can be held stretched 1.5 meters beyond its natural length by a force of 3 newtons. if the spring is stretched 3 meters beyond its equilibrium position and then released with zero velocity, find the mass that would produce critical damping.
12.5kg is the mass that would result in critical damping.
Define the damping constant and determine it using the force or displacement equation provided.The ability of a damper to resist motion is shown by its damping coefficient, which measures the effectiveness of the damper. where c is the damping coefficient and is expressed in newton seconds per meter.
The damping coefficient is a term that has the formula where is a constant. This damping is equivalent to the kind of motion resistance and energy loss experienced when a piston with perforations is moved through a cylinder filled with a viscous fluid, like oil.
Force F = Kx
K = F/x
K = 3/1.5
K = 2N/m.
c² - 4mk = 0
m = c²/4k
m = 10²/4×2
m = 100/8
m = 12.5kg.
12.5kg is the mass that would result in critical damping.
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a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units.
The answer is 99.5m/s
When the bullet strikes the wood it starts moving and due to cable its starts moving in circular motion so a centripetal force is generated towards the center so we can write
T - mg = mv²/r
Given:
m = (20 + 0.9)kg
maximum T = 500N
r = 1.3m
so,
500 - (20.9)(9.8) = (20.9) v²/ 1.3
v² = 4.285m/s
so the speed of wooden ball and projectile is 4.285m/s
Now by conservation of momentum
m₁v₁ = m₂v₂
(0.9)v = (20.9)(4.255)
v = 99.5m/s
So the safest speed of projectile is 99.5m/s
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Find the direction of the sum of
these two vectors:
B 3.14 m 2.71 m 30.0°
-60.0°A direction (deg)
The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.
Both the vectors are making angle in a way that it will add up to 90° , hence a right angles triangle will be formed .
using Pythagoras theorem
[tex]H^{2} = P^{2} + B^{2}[/tex]
sum of vector = [tex]H^{2} = P^{2} + B^{2}[/tex]
H = [tex]\sqrt{P^{2} + B^{2} }[/tex]
= [tex]\sqrt{3.14^{2} + 2.71^{2} }[/tex]
= 4.15 m
let theta is the angle along the base vector 2
tan (theta ) = P/B = 3.14 / 2.71 = 1.16 °
theta = [tex]tan^{-1}[/tex] ( 1.16 )
≈ 50°
hence , The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.
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what is the origin of the jovian moons? what is the origin of the jovian moons? they are trojan asteroids, orbiting 60 degrees ahead or behind jupiter. they all formed with the planet. they were ripped from the planet's interior in an early cataclysmic event. they were main belt asteroids, captured by jupiter's strong gravity. the four galilean moons formed with jupiter, most others were later captures.
(e)The four Galilean moons formed with Jupiter, most others were later captures
What Are the Characteristics of the Planet Jupiter?Since ancient times, the planet Jupiter has been a noteworthy astronomical object. It was called after the Roman king of the gods. Galileo observed Jupiter and its moons in 1610, and this observational data was crucial in establishing the heliocentric theory of planetary motion. When it is closest to Earth, this outer planet is hundreds of millions of kilometers away, but it is still clearly visible as a bright, colorful point in the night sky.The largest planet in the solar system is the gas giant Jupiter, which is more than 300 times as massive as Earth. Jupiter, after the moon and Venus, is the third-brightest object in the night sky because of its massive size and reflecting clouds. Jupiter orbits the sun at a distance of roughly 500 million miles, well outside the asteroid belt. One Jupiter year is roughly comparable to 12 Earth years due to the great distance between the two planets.Jupiter is orbited by more than 60 identified satellites or moons. Some satellites have brief, erratic orbits and are very small. Like the four moons found by Galileo, Io, Europa, Ganymede, and Callisto, other satellites are big and stable. These moons feature intricate, layered structures that are reminiscent of our own Earth and are almost as big as planets. The goal of current and upcoming space missions is to map out the moons of Jupiter and look for liquid water or possibly life.To learn more about Jupiter, refer to
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what initial speed should a particle be given if it is to have a final speed when it is very far from the earth that it is equal to one half of esdcape verlodctyu
The initial speed of the particle is 15.83 km/s.
Consider a system having initial potential energy. With time as the system proceed, the potential energy gets converted to kinetic energy. The kinetic and potential energy changes individually, but the total energy is constant at every instant. This is known as the conservation of energy.
Escape velocity , v = 11.200 km/s
The radius of the earth, R = 6400 km
Let the mass of the particle be m.
Let the mass of Earth be by M.
Let the velocity of the particle be v.
By conservation of energy we have,
(1 ÷ 2)mv² - ((GMm) ÷ R) = (1 ÷ 2)m[tex]v_{e}^{2}[/tex]
where G is the gravitational constant.
The gravitational constant and the acceleration due to gravity is related:
g = GM ÷ R²
Thus equation (1 ÷ 2)mv² - ((GMm) ÷ R) = (1 ÷ 2)m[tex]v_{e}^{2}[/tex] becomes,
(1 ÷ 2)v² - gR = (1 ÷ 2)[tex]v_{e}^{2}[/tex]
v² - 2gR = [tex]v_{e}^{2}[/tex]
v² − 2 × 9.8 × [tex]10^{-3}[/tex] km/s² × 6400 km = (11.200km/s)²
v = 15.83km/s
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The question is -
What initial speed would a particle need to be given at the surface of Earth if it is to have a final speed that is equal to its escape speed when it is very far from Earth? Neglect any effects due to air resistance?
5. the location and gimbal limits of the flir sensor prevent the p* from seeing the terrain directly beneath the aircraft. what must the p* do prior to conducting a landing from a hover?
Your ability to land safely is the primary prerequisite in order to protect your passengers and people on the ground.
Explain about the gimbal?
In the same way as a tripod would if you were shooting a picture or remained in one place while taking it, a gimbal employs sensors and motors to stabilize and support your camera.
The majority of contemporary rockets, including the Space Shuttle and the Saturn V moon rocket, employ a technique known as gimbaled thrust. The rocket's exhaust nozzle can be moved in either direction when using a gimbaled thrust system. In relation to the rocket's centre of gravity, the thrust direction changes when the nozzle is moved.
When using Euler angles in applied mathematics, the gimbal lock problem arises; creators of 3D computer programmes, such as 3D modelling, embedded navigation systems, and video games, must take care to avoid it.
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a horizontal wire that is 25 m long and has a mass of 100 g is held under a tension of 10 n. a sinusoidal wave of frequency 25 hz and amplitude 15 mm travels along the wire. calculate the maximum traveler velocity of any particle of the wire.
the maximum velocity of movement of any particle of the wire is 3.87 m/s
AND)
and)
L = wire length = 25 m
m = weight of wire = 100 g = 0.1 kg
The linear mass density of the wire is given as
μ = m/L = 0.1/25 = 0.004 kg/m
T = tensile force in the wire = 10 N
the speed of the wave along the wire is given as
v =√(T/μ)
v = √ (10/0.004)
v = 50 m/s
(ii)
A = amplitude = 15 mm = 0.015 m
f = frequency = 25 Hz
the maximum lateral velocity is given as
Vmax = 2πfA
Vmax = 2(3.14)(25)(0.015)
Vmax = 2.4 m/s
b)
F = force acting on each edge = 2.5 N
L = length of each edge = 0.75 m
m = weight of each edge = 125 g = 0.125 kg
the speed of the waves on the sheet is given as
v = √(FL/m) = √(2.5 x 0.75/0.125) = 3.87 m/s
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transient heat conduction in a semi-infinite solid the appropriate to use instead of the infinite solid?
The semi-infinite body shall be considered as a system that is bounded by one surface and that extends to infinity in other directions.
What is transient heat conduction?Transient conduction is the term for the mechanism of thermal energy transport when temperatures fluctuate over time at any location within an object. Another term for the time-dependent temperature fields in an item is "non-steady-state" conduction.A solid that extends to infinity in all but one direction and has a single plane surface is said to be semi-infinite. This surface will experience brief one-dimensional conduction if a rapid alteration is applied to it.The temperature remains constant over the course of steady-state heat transmission. The temperature fluctuates over time during transient heat transfer.Temperatures are mostly unaffected by changes in surface conditions in the early stages of the transient.To learn more about transient heat conduction refer to:
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at what speed do a bicycle and its rider, with a combined mass of 120 kgkg , have the same momentum as a 1800 kgkg car traveling at 5.4 m/sm/s ? express your answer to two significant figures and include the appropriate units.
27m./s speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1800 kg car traveling at 5.4 m/s.
Speed can be defined as the distance travelled by the object per unit time. Momentum can be defined as the product of the mass and the speed of the object.
The equation for the momentum is p = mv
Here, m is the mass of the object and v is the speed of the object. The equation for the impulse is, I = mΔ v
Here, m is the mass and is the change in momentum. The equation for the change in speed is
Here, ΔV = [tex]V_{f} -V_{i}[/tex]
is the initial speed [tex]v_{i}[/tex]
is the final speed.[tex]v_{f}[/tex]
Step: 1
The equation for the momentum of the bike and rider is, P (B+R)= M [tex](B+R)^{V}[/tex]…… (1)
Here, M (B+R) is the mass of the bike and rider, and v is the speed of the bike and rider.
The equation for the momentum of the car is [tex]P_{car} = m_{car} V_{car}[/tex]…… (2)
Here,
[tex]m_{car }[/tex]is the mass of the car and
[tex]V_{car}[/tex]is the speed of the car.
According to the question, the momentum of the bike and rider is the same as that of the momentum of the car, that is,
Substitute the equations (1) and (2) in above equation.
[tex]M_({B+R^{v} )}[/tex]= [tex]M_{car}V_{car}[/tex]
Rearrange the above equation for v. v = [tex]M_{car}V_{car}[/tex]/[tex]M_({B+R^{} )}[/tex]
Substitute 1800 kg for[tex]M_{car}[/tex] , and for 5.4m/s in above equation.
v = ( [tex]\frac{(1800) (5.4)}{120}[/tex] = 27m./s
Here, the momentum of the bike and rider is depending on the combined mass of the bike and rider and the speed of the bike and raider.
What is speed?Measurement is the most important concept in science. There are many measurable quantities that are measured in basic or fundamental physical units. Speed is one such measurable quantity that measures the ratio of the distance travelled by an object to the time it takes to travel. Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time.
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(part 1 of 2)
The Royal Gorge bridge over the Arkansas
River is 352 m above the river. A bungee
jumper of mass 124 kg has an elastic cord of
length 55 m attached to her feet. Assume the
cord acts like a spring of force constant k. The
jumper leaps, barely touches the water, and
after numerous ups and downs comes to rest
at a height h above the water.
The acceleration of gravity is 9.81 m/s^2
Find h. Answer in units of m.
(part 2 of 2)
Find the maximum speed of the jumper.
Answer in units of m/s.
a. The height of the bungee jumper above the water is 171.72 m
b. The maximum speed of the bungee jumper is 83.1 m/s
a. How to find the height h of the bungee jumper above the water?Since the bungee jumper barely touches the water surfaces and comes to rest after numerous bounces, using the law of conservation of mechanical energy,
K = U where
K = elastic potential energy of cord = 1/2 kx² where k = spring constant, x = extension of cord = H - L where H = height of bridge = 352 m and L = length of cord, U = gravitational potential energy of jumper = mgH where m = mass of jumper = 124 kg, g = acceleration due to gravity = 9.81 m/s² and H = height of bridgeSo, 1/2 kx² = mgH
1/2 k(H - L)² = mgH
Making k subject of the formula, we have
k = 2mgH/(H - L)²
Substituting the values of the variables into the equation, we have
k = 2mgH/(H - L)²
k = 2 × 124 kg × 9.81 m/s² × 352 m/(352 m - 55 m)²
k = 856373.76 kgm²/s² ÷ (297 m)²
k = 856373.76 kgm²/s² ÷ 88209 m²
k = 9.71 N/m
Next, we find the extension of the bungee cord. WE know that the spring force, F = kx where
k = spring constant and x = extensionequals the weight of the bungee jumper, W = mg when the bungee jumper is at rest.
so, F = W
kx = mg
x = mg/k
Substituting the values of the variables into the equation, we have
x = 124 kg × 9.81 m/s²/9.71 N/m
x = 1216.44 kgm/s²/9.71 m
x = 125.28 m
So, the total stretched length of the bungee cord after it comes to rest is L' = L + x = 55 m + 125.28 m = 180.28 m
So, the height of the bungee jumper above the water is H' = H - L'
= 352 m - 180.28 m
= 171.72 m
So, the height above the water is 171.72 m
b. How to find the maximum speed of the jumper?To find the maximum speed of the jumper, we must have minimum extension of the bungee cord.
Using the law of conservation of mechanical energy, the maximum potential energy of the jumper, U equals the mnimum elastic potential energy of the cord, U' + the maximum kinetic energy of the bungee jumper, K'
So, U = U' + K'
mgH = 1/2kx'² + 1/2mv² where
m = mass of bungee jumper = 124 kg , g = acceleration due to gravity = 9.81 m/s², H = height of bridge = 352 m, k = spring constant = 9.71 N/m, x = minimum extension of cord = 0 m, and v = maximum speed of bungee jumperMaking v subject of the formula, we have
v = √[2gH - (kx'²/m)]
Substituting the values of the variables into the equation, we have
v = √[2gH - (kx'²/m)]
v = √[2 × 9.81 m/s² × 352 m - (9.71 N/m × (0 m)²/124 kg)]
v = √[6906.24 m²/s² - (9.71 N/m × 0 m²/124 kg)]
v = √[6906.24 m²/s² - 0 Nm/kg)]
v = √(6906.24 m²/s²)
v = 83.1 m/s
So, the maximum speed is 83.1 m/s
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a secret agent has just stolen the ultimate top secret codes from a terrorist organization. their mission is to throw the information disk off the san francisco bridge onto a small ship that is waiting stationary. the agent gets to the edge of the bridge and sees the ship. using an angle up towards the sky, they throw the disk... which falls short and goes into the water. luckily the secret agent made a backup copy. if they throw it with the same velocity as before, should they increase the angle of the throw to make it to the stationary ship? (you can consider no external factors are present such as wind or clouds.)
Using the range of projectile motion principle, it is determined that the angle at which the information disc is launched must be increased in order for it to reach the stationary spacecraft.
This expression makes it evident that if they want to extend the range of an information disc thrown at constant speed of spacecraft , they must also extend the angle at which they toss it. The horizontal distance that a projectile motion covers is known as its range. This qualifies as a projectile motion scenario for spacecraft.
An object in the air only experiences projectile motion when it is affected by gravity. A projectile motion that is fired into the air close to the surface of the Earth and travels along a curved path, or more precisely a parabolic path, while being pulled downward by gravity, assuming that air resistance is minimal.
According to the formula of Range of projectile motion,
R = U^2*sin2[tex]\alpha[/tex]/g
therefore R is directly proportional to sin2[tex]\alpha[/tex]
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a car traveling but at 100 km/h and applies it's brake to stop the acceleration is -10 m/s2 how long does it take for the car to stop?
Answer:
10s [seconds]
Explanation:
[tex]t = \frac{v}{a} [/tex]
t = v/at = 100/-10t = -1010s [seconds]