If the cornea, which serves as a border between the aqueous humor and the air, has a focal length of 3.0 cm, its radii is equal to 0.76 cm.
What in physics is the radius of curvature?The radius of curvature of both the spherical mirror is the diameter of the hollow sphere that contains the object that serves as the mirror. The radius of curvature of a spherical mirror is, in other language, the distance between its pole and center of curvature.
Is the curvature radius unit?Let's calculate the distance in meters (m) and the time in minutes (sec). Then, the units for torsion and curvature are both m1. Explanation #1, which is short and nasty but at least accounts for curvature: As you are likely aware, the radius of a circle has a curvature of 1/r.
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a sound source departs from an observer. the frequency heard by the observer is question 14 options: higher than the source lower than the source the same as that of the source equal to zero
The observer can hear a frequency that is higher than just the source.
How does frequency example work?The number of occasions a specific data value occurs is the frequency of that data. We use f to symbolize the regularity of a data value. As an illustration, the grade A is considered to occur frequently if five students received an A in science.
In the actual world, what is frequency?Frequency of a wave is defined as the total amount of waves generated in a second. Frequency is the measurement of the number consecutive vibrations per second. As an example, consider the following: If five full waves are created in a second, their frequency is 5 hertz (Hz), or 5 cycles every second.
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why were astronomers in the 1990s surprised to learn that the expansion rate of the universe is getting faster with time?
The expected gravity to be slowing the expansion rate with time.
The universe's expansion was predicted to slow down for a reason, but what was it supposed to be?
Cosmologists—scientists who study the universe—predicted, up until recently, that gravity was slowing the universe's expansion rate. According to recent scientific findings, the universe might continue to grow indefinitely.
What was the question that the two astronomy teams' discoveries in the 1990s raised?
To determine the rate at which the universe was slowing down in its expansion, two rival teams started observing supernovas in the middle of the 1990s. They discovered the exact opposite, much to everyone's surprise: the expansion was speeding up rather than slowing down, driven by an enigmatic, invisible force.
Therefore, they expected gravity to be slowing the expansion rate with time.
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What is the law of supply and how are price and quantity related in the law?.
The law of supply is a microeconomic principle that asserts, with all other things being equal, that if the cost of an item or service rises, suppliers will offer more of those goods or services, and vice versa.
According to the rule of supply, suppliers will try to maximize their earnings when the price of an item rises by offering more products for sale. Market supply, short-term supply, long-term supply, joint supply, and composite supply are the five different types of supply. Individual supply curves and market supply curves are the two categories of supply curves, respectively.
Market supply curves depict the market supply timetable, whereas individual supply curves graph the individual supply schedule.
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what is the term for the eye movements that occur as the observer shifts their gaze from one part of the visual scene to another?
The term for the eye movements that occur as the observer shifts their gaze from one part of the visual scene to another is known as Saccades.
What is Eye movement?Eye movement may be characterized as the voluntary and involuntary movements of the eyes that assist with obtaining, fixating on, and following visual stimuli.
The eyes are each connected to a system of six muscles. Light is sensed by the retina, which is a type of tissue that contains cells known as photoreceptors.
Therefore, saccades is the term for the eye movements that occur as the observer shifts their gaze from one part of the visual scene to another.
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FILL IN THE BLANK. immediately following the arrival of the stimulus at a skeletal muscle cell there is a short period called the __ period during which the events of excitation-contraction coupling occur.
Immediately following the arrival of the stimulus at a skeletal muscle cell, there is a short period called the latent period during which the events of excitation-contraction coupling occur.
This process is a connection between transduction in the sarcolemma and the initiation of muscle contraction. Sarcolemma is nothing but the cell membrane of skeletal muscle.
A single muscle twitch has a latent period, a contraction phase when tension increases and a relaxation phase when tension decreases.
The period of incubation, the interval preceding exposure to a pathogen toxin or radiation, and when effects occur. Muscle contracting, the time between a nerve stimulus and muscle contraction.
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A table-tennis ball is thrown at a stationary bowling ball: The table- tennis ball makes a one-dimensional collision and bounces back along the same line: Compared with the bowling ball after the collision; the table- tennis ball has the same magnitude of momentum: larger magnitude of momentum: a smaller magnitude of momentum a magnitude of momentum impossible to determine'
Less momentum in magnitude and more kinetic energy. Because it is heavier, the bowling ball has more kinetic energy. As mass grows, kinetic energy rises. Kinetic energy is also impacted by velocity.
You must throw the bowling ball farther or with more force if you want it to move faster. The sum of an object's mass and velocity is considered to be its linear momentum, translational momentum, or simply momentum in Newtonian physics.It is a vector quantity since it has both a magnitude and a direction. If m is the object's mass and v is its velocity, then p=mv is the definition of the object's momentum.The unit used to measure momentum is the kilograms meter per second (kg m/s), also known as the newton-second in the International System of Units (SI).Newton's second law of motion states that the rate of change of a body's momentum is equal to the net force applied to it.To know more about momentum
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If 250 mg of a radioactive element decays to 200 mg in 12 hours, find the half-life of the element. (Round your answer to the nearest
The half-life of the element, if 250 mg of a radioactive element decays to 200 mg in 12 hours is 37.5 hours
N ( t ) = No ( 1 / 2 [tex])^{t/h}[/tex]
N ( t ) = Quantity of substance remaining
No = Initial quantity
t = Time elapsed
h = Half life
t = 12 hrs
No = 250 mg
N ( 12 ) = 200 mg
N ( 12 ) = No ( 1 / 2 [tex])^{12/h}[/tex]
200 = 250 ( 0.5 [tex])^{12/h}[/tex]
( 0.5 [tex])^{12/h}[/tex] = 200 / 250
( 0.5 [tex])^{12/h}[/tex] = 0.8
taking log on both sides
log [ ( 0.5 [tex])^{12/h}[/tex] ] = log ( 0.8 )
12 / h log ( 0.5 ) = log ( 0.8 )
12 / h = log ( 0.8 ) / log ( 0.5 )
12 / h = - 0.0969 / - 0.301
12 / h = 0.32
h = 37.5 hours
Therefore, the half-life of the element, if 250 mg of a radioactive element decays to 200 mg in 12 hours is 37.5 hours
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a soccer player kicks a rock horizontally off a 40.0-m high cliff into a pool of water. if the player hears the sound of the splash 3.00 s later, what was the initial speed given to the rock? assume the speed o
According to the given statement 9.91m/s was the initial speed given to the rock.
What is speed in physics and its unit?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time or the basic unit de distance are combined to form the Vernier scale of speed. Thus, the metre per second (m/s) is the Standard unit of speed.
Briefing:y[tex]_f[/tex] = y[tex]_i[/tex] + v[tex]_y_i[/tex]t + 1/2 at²
-40.0 m = 0 + 0 + 1/2 (-9.80m/s²)t²
t = 2.86s
The additional time needed for the sound she hears to return directly to the player is
3.00s-2.86s=0.140s.
It travels a long way
(343m/s)0.143s=49.0m= √x²+(40.0m)²
where x is the rock's horizontal travel distance. x=28.3m is obtained by solving for x. The rock is in flight for 2.86 seconds and moves horizontally while maintaining a constant velocity in the x direction.
x=28.3m=v[tex]_x_i[/tex]t+0t²
v xi = 28.3m / 2.86s
=9.91m/s
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which of the following provides evidence that there must be at least two types of electrical charge, but that there is only one type of mass?
The correct option is option D.
The statement that provides evidence that there must be at least two types of electrical charge, but that there is only one type of mass is that on the scale of the solar system, electric forces cancel out and gravitational forces dominate.
The examples that provides conclusive evidence of is option d because the Gravitational force constant is (G)=6.67*10-11 while the Coulomb's law constant(K)=9*109.
Coulomb's law often connotes that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.
Therefore, the interaction between charged objects is regarded as a non-contact force that acts over some distance of separation. And hence, option D : the scale of the solar system, electric forces cancel out and gravitational forces dominate is the correct option.
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[THIS IS AN INCOMPLETE QUESTION.
THE COMPLETE QUESTION IS: Which of the following provides evidence that there must be at least two types of electrical charge, but that there is only one type of mass?
A.) The magnitude of the Coulomb's law constant differs greatly from the magnitude of the universal gravitational constant.
B.) Contact forces such as friction are caused primarily by electrostatic forces and not by gravitational ones.
C.) The electric force has a relative strength that is much greater than the strength of the gravitational force.
D.)On the scale of the solar system, electric forces cancel out and gravitational forces dominate.]
a basketball player who weighs 600 newtons jumps 0.5 meter off the floor. what is her kinetic energy just before hitting the floor?
The kinetic energy is 1452 joules
What is kinetic energy ?The energy an object has as a result of motion is known as kinetic energy. In physics, a kinetic term is the portion of the Lagrangian that is bilinear in the fields (and for nonlinear sigma models, they are not even bilinear), and typically contains two derivatives with respect to time (or space); in the case of fermions, the kinetic term typically contains just one derivative.
formula of kinetic energy is 1/2 mv^2
Since v is not given
thus v = [tex]\sqrt{2gh}[/tex]
On substituting the values h = 0.5 m and g = 9.8 m/s^2
v = [tex]\sqrt{2 *0.5 * 9.8 * 0.5}[/tex]
v = [tex]\sqrt{4.9}[/tex]
v = 2.2 m/s
Thus kinetic energy = 1/2 × 600 × 2.2²
kinetic energy = 1452 joules
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A 2.0 m tall basketball player is standing a horizontal distance of 7.0 m away from a basketball hoop. The height of the hoop is 3.0 m above the floor. The basketball player throws the ball at an angle of 60 degrees above the horizontal, and from an initial height of 2.0 m above the floor. (Use g= 9.8 m/s2 and neglect air friction effects). Give your answer to 2 significant figures. a) How long does it take for the ball to reach the hoop? b) What is the initial velocity of the ball? c) At what angle to the horizontal is the ball traveling just before it enters the hoop? d) What is the maximum height reached by the ball?
A 2 m tall basketball player is standing at a horizontal distance 7 m away from a basketball hoop. The time taken by the ball to reach the hoop is 1.50 s. The initial velocity of the ball is 9.33 m/s.
The horizontal component of the initial speed is v cos 60° = 0.5 v
The vertical component of the initial speed is v sin 60° = 0.86 v
The player is 7 m away from the basketball hoop.
So, 7 = 0.5 v * t ----(1)
The net height with respect to the player is 3 m - 2 m = 1 m
So, 1 = - g* t²/2 + 0.86 v * t ----(2)
From (1), we have v * t = 14 ----(3)
Using (3) in (2), we have
1 = - 4.9* t² + 0.86 * 14
1 - 12.04 = -4.9 t²
-4.9 t² = -11.04
t² = 2.25
t = 1.50 s
It takes 1.5 s to reach the hoop.
Substituting t in (1), we have v * t = 14
v = 14/1.5 = 9.33 m/s
The initial velocity of the ball is 9.33 m/s.
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how does the energy jupiter radiates back to space compare to the energy from the sun that falls on it?
Jupiter creates a lot of internal heat and releases this heat in the form of thermal radiation. It has been found to radiate twice as much energy as it absorbs from the sun.
Which planets produce internal heat?
Major internal heat sources on Jupiter, Saturn, and Neptune allow them to absorb as much (or even more) energy as they absorb from solar radiation. It was discovered that not only do Saturn and Neptune emit roughly twice as much energy as they take in from the sun, but also Uranus and Pluto do the same.
What amount of thermal energy does Jupiter produce?
Jupiter generates about 6 Watts per square meter of internal heat. Jupiter receives approximately 10 watts of solar energy per square meter. The radiation emitted by this planet is equal to 100 million X-rays.
Jupiter absorbs light energy from the sun and creates a large amount of internal heat. The extra energy is released in the form of thermal radiation.
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Jupiter generates a lot of heat inside and gives off this heat in the form of thermal radiation. It is known that it radiates twice as much energy as she absorbs from the sun.
Which planets produce internal heat?
The large internal heat sources of Jupiter, Saturn and Neptune allow them to absorb as much (or more) energy as they absorb from solar radiation. Saturn and Neptune, as well as Uranus and Pluto, are known to emit about twice as much energy as they absorb from the Sun.
How much heat energy does Jupiter produce?
Jupiter produces about 6 watts of internal heat per square meter. Jupiter receives about 10 watts of solar energy per square meter. The radiation emitted by this planet is equivalent to 100 million X-rays.
Jupiter generates a lot of heat inside and gives off this heat in the form of thermal radiation. It is known that it radiates twice as much energy as she absorbs from the sun.
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a frozen lake in winter with fish swimming below the surface is possible because of which property of water: a frozen lake in winter with fish swimming below the surface is possible because of which property of water: surface tension cohesion adhesion hydrogen bonding
A frozen lake in winter with fish swimming below the surface is possible because of cohesion.
What is cohesion ?Water molecules have significant cohesive forces as a result of their capacity to establish hydrogen bonds with one another. Cohesion is the scientific term for the attraction of molecules towards other molecules of the same kind.
Cohesion is the ability to cooperate. You are exhibiting high cohesion if your group of pals enters the lunchroom as a unit and seats together. The term "cohesion" is derived from physics, where it refers to similar particles that have a propensity to adhere to one another, such as water molecules.
Water binds to each other with a strong attraction called a hydrogen bond. Water is very cohesive as a result.
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Lego got bored of bows, so he went to buy a sling. We approximate it as a spring with constant
stiffness and a zero rest length. Lego can stretch the sling with force F = 31.4 N, and he wants it
to store as much energy as possible while it is stretched. There were two slings at the shop, with
stiffnesses k1 = 159 N/m and k2 = 265 N/m. What will be the difference between the potential
energies of those slings stretched with force F?
The difference between the potential energies of those slings stretched with force F is 1.25 J.
What is the extension of each spring?The extension produced in each spring by the applied force is calculated by applying Hooke's law as shown below;
F = kx
where;
F is the applied forcek is the spring constantx is the extension of the springThe extension of the first spring with stiffness of k1 = 159 N/m, is calculated as;
x₁ = F/k₁
x₁ = 31.4 N / 159 N/m
x₁ = 0.197 m
The energy stored in this first spring is calculated as;
E₁ = ¹/₂k₁x₁²
E₁ = ¹/₂(159)(0.197²)
E₁ = 3.1 J
The extension of the first spring with stiffness of k1 = 159 N/m, is calculated as;
x₂ = F/k₁
x₂ = 31.4 N / 265 N/m
x₂ = 0.118 m
The energy stored in the second spring is calculated as;
E₂ = ¹/₂k₂x₂²
E₂ = ¹/₂(265)(0.118²)
E₂ = 1.85 J
The difference in the two energies is calculated as follows;
ΔE = 3.1 J - 1.85 J
ΔE = 1.25 J
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pproximately at what state does this start to matter? estimate this by finding n such that the volume term in the enthalpy is the same as the maximum possible energy above the ground state level. the pressure in the sun's corona gets up to 0.6 pascals; when does state enthalpy start to matter thera?
One of the several configurations in which matter can exist is a state of matter. In daily life, we can observe four different states of matter: solid, liquid, gas, and plasma.
There are numerous known intermediate states, including liquid crystal, while others, like Bose-Einstein condensates (in extremely cold temperatures), neutron-degenerate matter (in extremely high densities), and quark-gluon plasma, can only exist under very specific circumstances (at extremely high energy). Enthalpy is characterized as the quantity of internal energy and the result of the pressure and volume of a thermodynamic system. Enthalpy is a quality or state function that resembles energy and possesses energy dimensions (and is thus calculated in joules or erg units).The enthalpy H is equal to the product of the system's internal energy E and pressure P multiplied by volume V, or H = E + PV.
The density of the corona is ten million times lower than that of the Sun's surface. The corona is substantially less luminous than the Sun's surface as a result of its low density.To know more about matter
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1.2 assuming the flow to be laminar, determine the flow rate through the pipe by considering only frictional losses. flow is assumed to steady and uniform throughout the pipe.
Pipe flow is considered laminar flow when the Reynolds number is less than 2000 and fully turbulent when it exceeds 4000.
If the value is between these two values, the flow characteristics are unpredictable. In pipes (or tubes), laminar flow or streamline flow occurs when a fluid flows in parallel layers with no disruption between them. So, if the flow is steady (that is, the flow parameters such as velocity, pressure, and temperature do not change over time), then the flow is laminar. In contrast to laminar flow, turbulent flow is always characterised by random fluctuations in the flow parameters (velocity, pressure, temperature).
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What is a spectrum?Question options:A) A spectrum is the pattern of colors produced when light shines through a prism.B) A spectrum is the pattern of colors produced when light shines through a diffraction grating.C) A spectrum is a device used to study the constituent colors of light.D) A spectrum is the pattern of directions that light travels after reflecting off a surface.E) A & BE) A & B
The correct option is option B.
Spectrum is the pattern of colours produced when light shines through diffracting grating.
The phenomenon due to which white light splits into seven colours on passing through a prism is called dispersion. White light is made up of seven bands of colors each having different wavelengths. Upon passing through a medium, each of the colors travels at different speeds and hence has different angles of refraction leading to the splitting of the light i.e. dispersion.
This light shows some particular pattern and the pattern is spectrum.
When the light passes through prism, the spectrum of seven colours can be seen. These colours are put up in a particular pattern and the colours form a pattern of VIBGYOR.
Therefore, whenever a light is passed, it shows a pattern in which it gets reflected. This pattern is the spectrum.
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Why were the principal in the north american model of wildlife conervation developed
When many animal species were in grave decline or on the verge of extinction due to unchecked overharvesting and negligent land use practises, the idea of wildlife and habitat conservation in North America emerged out of need. In order to combat the fast reduction of wildlife, early conservation pioneers like George Bird Grinnell and Theodore Roosevelt, who founded the Boone and Crockett Club in 1887, did not deliberately set out to construct this Model by name. What is now known as the North American Model is the outcome of their labour and that of many others. Due to his efforts to institutionalise and popularise conservation and to increase the protection, then management, of natural resources, President Theodore Roosevelt was one of the main figures in the conservation movement.
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a spring has a length of 0.4 m when a 0.3 kg mass hangs from it, and a length of 0.8 m when a 2.1-kg mass hangs from it. (a) what is the unloaded length of the spring?
The spring is 1.4 in long when unloaded .To calculate the length of an extension spring, multiply the total number of coils by the length of the spring wire per coil.
The new spring's length can be determined in what way?To calculate the length of an extension spring, multiply the total number of coils by the length of the spring wire per coil. To obtain the overall length, multiply the active coil count by two. When using torsion springs, multiply the total number of coils by the length of the spring wire per coil.According to Hooke's Law, when a vertical spring is coupled to a mass, the gravitational force acting on the mass determines how long the spring will extend. Therefore, the elongation will increase as the mass increases. The vertical spring's length is directly inversely proportional to the gravitational force acting on the mass.Explanation:
In line with Hooke's law:
F \s= \sK \sx
x \s1 \s= \s 0.4
the strain on the first weight multiplied by two equals 0.3
On second weight K, m is the stretch.
0.1 + 1.3 = 1.4 .
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a typical circular saw has a radius of 0.184 m and rotates so the velocity of its edge is 110 m/s. how many rpm does the saw make?
The speed of the saw is 5710 rpm.
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what is the maximum speed, in meters per second, of electrons ejected from this metal by photons of light with wavelength 89 nm?
The maximum speed, in meters per second, of electrons ejected from this metal is 2.22 x 10⁶ m/s.
What is the maximum speed of the ejected electron?The maximum speed of the electron ejected is calculated by applying the following equation.
K.E(max) = hf
¹/₂mv² = hf
¹/₂mv² = hc/λ
mv² = 2hc/λ
v² = 2hc/λm
v = √(2hc/λm)
where;
h is Planck's constantc is the speed of lightλ is wavelengthm is mass of electronv = √( (2 x 6.626 x 10⁻³⁴ x 3 x 10⁸)/ (89 x 10⁻⁹ x 9.1 x 10⁻³¹) )
v = 2.22 x 10⁶ m/s
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this image shows pluto photographed by the new horizons spacecraft in 2015. what did scientists find most surprising when they saw this image?
The scientists found most surprising when they saw this image of Pluto photographed by the new horizons spacecraft in 2015 is that Pluto and its satellites are much more complicated than we anticipated.
What are the some facts of Pluto?Pluto and its satellites are much more intricate than we anticipated. It is simply remarkable how active Pluto's surface is right now and how young certain of its surfaces are. All pre-flyby models are disproved by Pluto's atmospheric hazes and lower atmospheric escape rate than expected.
A ancient water ice ocean that once existed inside of Charon may have frozen long ago, according to the planet's massive equatorial extensional tectonic belt. A water-ice ocean may still exist inside Pluto today, according to additional data from New Horizons.
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true or false: a mass measurement includes the effect of earth's gravitational pull on the object being measured
A mass measurement includes the effect of earth's gravitational pull on the object being measured. : FALSE
What are the effects of gravitational pull ?The moon is maintained in its orbit around Earth by gravity, as are the planets in their orbits around the sun. Ocean tides are a result of the moon's gravitational effect on the oceans. The stuff that stars and planets are comprised of is pulled together by gravity to form them.
There are four consequences of gravitational pull:
1)The gas-holding force inside the sun.
2) It makes a ball that has been launched into the air land back down.
3) It makes a car coast downhill even when the gas pedal is not depressed.
4) It results in a glass you drop dropping to the ground.
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each pane in a double-hung wood window measures 20" x 16". calculate the rough opening for this window
The rough opening for this double-hung wood window that measures 20" x 16" is 26" x 42"
For a window to be hanged on wall, a larger dimension than window has to be considered. The extra dimension which are considered for window are used for fittings of frame. Double hung windows are commonly used nowadays.
The extra addition to height is 10" and to width is 6"
Window size = 20" * 16"
Final minimum width = 20" + 6" = 26"
Final minimum height = 16" + 6" = 22"
The minimum opening for this window = 26" * 22"
Therefore, the rough opening for this window is 26" * 22"
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A fire breaks out and increases the Kelvin temperature of a cylinder of compressed gas by a factor of 1.2. What is the final pressure of the gas relative to its initial pressure?
A fire breaks out and increases the Kelvin temperature of a cylinder of compressed gas by a factor of 1.2. The final pressure of the gas relative to its initial pressure will be [tex]P_{2} = 1.4 P_{1}[/tex].
Given
The temperature increases by a factor of 1.2 of a compressed gas.
Or we can say that [tex]T_{2}= 1.2 T_{1}[/tex]
Where [tex]T_{1}[/tex] = Initial temperature
and [tex]T_{2}[/tex] = final temperature
we know the ideal gas equation is [tex]PV=nRT[/tex]
Where V= volume (constant) , n=constant , R=gas constant
Or P/T = constant
We can write, [tex]\frac{P_{1} }{T_{1} } =\frac{P_{2} }{T_{2} }[/tex]
[tex]P_{2}=\frac{T_{2} }{T_{1} } (P_{1} )[/tex]
So, [tex]P_{2} = 1.4 P_{1}[/tex]
Hence, the final pressure of the gas relative to its initial pressure will be [tex]P_{2} = 1.4 P_{1}[/tex].
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As you approach a steady light source, the wavelength of the emitted light appears.
The wavelength of the light being released appears to be longer as you get closer to a steady light source.
What is wavelength?Its spatial period is known as the wavelength, which in physics is the distance that a periodic wave repeats over. The distance between two consecutive wave crests or troughs is known as the wavelength. The direction of the wave is used to measure it. It is frequently denoted by the Greek letter lambda, which is also known as the "wavelength." Additionally, sinusoidal wave envelopes, modulated waves, and waves created by the interference of multiple sinusoids are all sometimes referred to as having a wavelength.
What is wavelength used for and its formula?The distance between each trough or the peak of each wave in a sequence. It acts as one of the "yardsticks" for estimating radiation levels.
Typically, the length of a wave is denoted by the Greek letter lambda (). The relationship between a waves train's frequency (f) or speed (v) in a medium is known as the wavelength relationship.
The wavelength may always be determined by measuring that distance between the two identical points on adjacent waves. The separation between each compression or rarefaction is measured in order to determine a longitudinal wave's wavelength.
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a marble rolls off of a desk with a speed of 3 m/s. the top of the desk is 1.5 m above the floor. a. how long does it take for marble to hit the ground? b. how far away from the table is the marble when it hits the ground?
The height represented by s is equal to the height represented by theta which is 74. The value of t square is used to add half negative 9.81 to the power of 2. The h value is 42.51 in meters.
How do you calculate the speed & time of an object just before it hits the ground?Pick the duration of the fall of the item. We'll use a time of 8 seconds in this illustration. The formula v = v0 + gt = 0 + 9.80665 * 8 = 78.45 m/s may be used to get the final free fall speed (right before impact).As a result of gravity, there is a downward vertical acceleration of 9.8 m/s/s. A projectile's vertical velocity changes by 9.8 meters per second (m/s) each second, A projectile's vertical motion does not affect how it moves horizontally.Formula T tof=2(v 0 sin 0)g. A projectile's flight period begins at this point, whether it is being launched or colliding with a flat, horizontal surface.Given data :
Equation 1: y=y0+v0yt+1/2 at²
where y0=1.5m , y=0 meters (the floor), v0y=0, and a=-9.8 m/s2
. Plugging
these numbers in we get
The substitution of the horizontal component of this velocity was made. The 190 is equal to 74 cos 23 and we use the value of t to figure out the distance. equal to a square and a y t square.
The acceleration in the direction of the y is negative if we make the substitution. The height represented by s is equal to the height represented by theta which is 74. The value of t square is used to add half negative 9.81 to the power of 2. The h value is 42.51 in meters.
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a shopper in a supermarket pushes a cart with a q/c force of 35.0 n directed at an angle of 25.08 below the horizontal. the force is just sufficient to bal- ance various friction forces, so the cart moves at con- stant speed. (a) find the work done by the shopper on the cart as she moves down a 50.0-m-long aisle. (b) the shopper goes down the next aisle, pushing hor- izontally a
The final answer is:
a) 1585 J
b) The applied force would be smaller and the work would again be zero
c) 0 N
Given,
Force = 35 N
Angle = 25.08 below horizontal
Distance = 50 m.
Work = ?
(a) The horizontal component of the applied force is 35 N x cos 25.08 = 31.70 N
To calculate the work done by the shopper,
Work = force x distance
= 31.7 N x 50 m
= 1,585 J
b) If the applied force were horizontal, all of it would counter friction, so only 31.7 N would be needed. The work done on the cart is zero because there is no change in mechanical energy.
c) The work done on the cart by the shopper will be zero because there is no change in mechanical energy.
Therefore, work done by the shopper is 1585 J if it moves the cart to 50 m and the work done by the shopper is zero when there is no mechanical energy applied.
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[THIS IS AN INCOMPLETE QUESTION.
THE COMPLETE QUESTION IS:
A shopper in a supermarket pushes a cart with a force of 35.0 N directed at an angle of 25.08 below the horizontal. The force is just sufficient to balance various friction forces, so the cart moves at constant speed. (a) Find the work done by the shopper on the cart as she moves down a 50.0-m-long aisle. (b) The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the friction force doesn’t change, would the shopper’s applied force be larger, smaller, or the same? (c) What about the work done on the cart by the shopper?]
After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or BAC) surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. The function C(t) = 1.3 te^(-2.1t)models the BAC, measured in mg/mL, in a test patient's bloodstream t hours after rapidly consuming 15 mL of alcohol. What is the maximum BAC during the first three hours? When does it occur?
The maximum blood alcohol concentration (BAC) during the first three hours is 0.177 mg/mL .
We are given that,
The function = C(t) = 1.3te^(-2.1t)
Concentration of alcohol in bloodstream = 15ml
The maximum is found where the derivative of C(t) is zero.
dC/dt = 1.3e^(-2.1t) -(1.3t)2.1e^(-2.1t) = 0
On Solving the above equation for getting the value of t,
t = 1/2.1
Therefore, the maximum C(t) is
C(1/2.1) = 1.3/2.1e^(-1) ≈ 0.177 mg/mL
The maximum average BAC during the first 6 hours would be about 0.177 mg/mL .
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16.66 through 16.68 a thin plate of the shape indicated and of mass m is suspended from two springs as shown. if spring 2 breaks, determine the acceleration at that instant of (a) point a, (b) point b. 16.66 a square plate of side b 16.67 a thin hoop of diameter b 16.68 a rectangular plate of height b and width a
Take moment about G
EMG = T
T b/2 - I ∝
[tex]\frac{1}{2}mg (\frac{b}{2}) = \frac{mb^{2} }{T}[/tex]∝
∝ = [tex]\frac{39}{2b}[/tex]
Efy = 0
-w + T₁ = ma
-mg +1/2mg = -ma
a = [tex]\frac{9}{2}[/tex]
plane motion = Translation + Rotation
(a) [tex]a_{A} = a_{G} + a_{\frac{A}{G} } = a + \frac{b}{2}[/tex]∝
[tex]a_{A} =\frac{9}{2} (\frac{39}{2b}) = \frac{9}{4}[/tex]
[tex]a_{A} = \frac{9}{4}[/tex]↑
(b) aB = aG + aB/G = a +b/2∝ (↓)
= 9/2 +b/2 (39/2b)
aB = [tex]\frac{5}{4} 9[/tex]↓
A rectangular top can also complement the different shapes used in the table. Certain dishes are almost always well-suited to rectangular plates. In particular, it is the most common form of dinner plates and saucers. Square More common in Asian traditions such as sushi plates and bento boxes adds a modern style.
Squirrel Holds more groceries than round ones but takes up the same space in your cupboard. Mainly serves as a shield for insulated wires. It is also used to create a mounting base for mounting lamp holders or canopies.
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