a) Total inventory of 30 batteries distributed among the eight different types is 1,02,95,472 ways.
b) total inventory of 30 batteries to be distributed among the eight different types in addition to being able to obtain only ten A76 Batteries is 8,88,030 ways.
Given that:
Camera shop stocks have 8 different types of batteries
one of which is A76
Assume that there are at least 30 batteries of each type.
a).
The camera shop stocks 8 different types of batteries and there are at least 30 batteries of each kind.
a) We want to select r = 30 batteries from the n = 8 kinds of batteries
The number of ways a total inventory of 30 batteries is distributed is :
[tex]\\= {}^{n+ r -1} C_r = {}^{30+ 8 -1} C_{30}\\\\= {}^{37} C_{30} = \frac{37!}{30! (37-30)!} \\\\=\frac{37!}{30! \;*\;7!} \\\\=\frac{37 \times 36 \times 35\times 34 \times 33 \times 32 \times 31 \times 30!}{30! \;*\;7 \times6 \times5 \times4 \times3 \times2 \times1} \\\\=\frac{37 \times 36 \times 35\times 34 \times 33 \times 32 \times 31 }{7 \times6 \times5 \times4 \times3 \times2 \times1} \\\\= 1,02,95,472 \;\;ways[/tex]
b).
Assuming that we first select 10 A76 batteries, we need to determine how many ways we can select the remaining [tex]r = 30 - 10 = 20[/tex] batteries from the n = 8 kinds of batteries.
[tex]\\= {}^{n+ r -1} C_r = {}^{20+ 8 -1} C_{20}\\\\= {}^{27} C_{20} = \frac{27!}{20! (27-20)!} \\\\=\frac{27!}{20! \;*\;7!} \\\\=\frac{27 \times 26 \times 25\times 24 \times 23 \times 22 \times 21 \times 20!}{20! \;*\;7 \times6 \times5 \times4 \times2 \times2 \times1} \\\\=\frac{27 \times 26 \times 25\times 24 \times 22 \times 22 \times 21 }{7 \times6 \times5 \times4 \times2 \times2 \times1} \\\\= 8,88,030 \;\;ways[/tex]
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a space vehicle is in a circular orbit about the earth. the mass of the vehicle is , and the radius of the orbit is . it is desired to transfer the vehicle to a circular orbit of radius . an efficient way to accomplish the transfer is to use an elliptical orbit from point on the inner circular orbit to a point on the outer circular orbit (known as a hohmann transfer orbit). (part a) what is the speed and kinetic energy of an object of mass moving in a circular orbit of radius and speed about a planet of mass ?
The speed and kinetic energy of an object of mass m moving in a circular orbit of radius r and speed v about a planet of mass M is given by v = √(GM/r), KE = ½m(GM/r).
What is kinetic energy?
The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the stated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort when slowing down out of its current speed to the a state of rest. Officially, a kinetic energy would be any term that includes a derivative to respect to time in the Lagrangian of a system.
Speed:
The speed of an object of mass m moving in a circular orbit of radius r with speed v around a planet of mass M is given by:
v = √(GM/r)
where G is the gravitational constant (6.67 × 10-11 N*m2/kg2).
Kinetic Energy:
The kinetic energy of an object of mass m moving in a circular orbit of radius r with speed v around a planet of mass M is given by:
KE = ½mv2
Substituting the expression for v into this equation, we get:
KE = ½m√(GM/r)2
KE = ½m(GM/r)
Therefore, the speed and kinetic energy of an object of mass m moving in a circular orbit of radius r and speed v about a planet of mass M is given by:
v = √(GM/r)
KE = ½m(GM/r)
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how much work must denise do to drag her basket of laundry of mass 8.0 kg a distance of 6.0 m along a floor, if the force she exerts is a constant 30.0 n at an angle of 60o with the horizontal?
90 J work must Denise do to drag her basket of laundry of mass 8.0 kg a distance of 6.0 m along a floor if the force she exerts is a constant 30.0 N at an angle of [tex]60^0[/tex] with the horizontal.
It is given that,
Mass of the basket = 8.0 Kg.
Distance from where it needs to be dragged = 6.0 m
Constant force = 30.0 N = F
Value of angle = [tex]\theta[/tex]= [tex]60^\circ[/tex]
As we know, the value of work done can be determined by using the formula:
[tex]w=\mathrm{Fscos}(\theta)[/tex]
So, putting the value of F, s and value of angle in above formula:
We will get, the value of work done as:
[tex]\mathrm{w}=30 \times 6 \times \cos (60) \\& =180 \times \frac{1}{2} \\& =90 \text { joule }[/tex]
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The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is?.
The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is 0.8N
What is drag?Everywhere we look, there is the drag force. In a ball of fluids, we survive (air and water). Any time there is motion in a fluid, such as air, water, or another one, drag forces become present.
Drag forces are resistive forces that are present when things move through fluids (a gas or a liquid).
Always acting in opposition to fluid flow is the drag force. Aerodynamic drag is the motion of the body in the fluid-like air. Additionally, it is known as hydrodynamic drag if the fluid is water.
What is vertical velocity?The element of vertical velocity (motion). Forecasting areas of dynamic weather requires careful analysis of regions with an upward vertical velocity.
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review conceptual example 5 as an aid in understanding this question. an inductor and a capacitor are connected in parallel across the terminals of an ac generator. does the current from the generator decrease, remain the same, or increase as the frequency becomes (a) very large and (b) very small?
The answer to the question is that both the current and the frequency will grow as they become increasingly high and low, respectively.
What purpose does a capacitor serve?A capacitor is an electrical energy storage device made up of two conductors that are isolated from one another and placed near to one another. A straightforward illustration of one such backup system is a parallel-plate capacitor.
A capacitor: a type of battery?A capacitor is a passive component that holds static charge in an electric field, whereas a batteries is an electronic device that transforms chemical energy into electricity to create a stable electrical charge for power.
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focal animal sampling on the focal animal sampling sheet record the data of a chosen primate from the video provided. you will collect data at 2-minute intervals. this is your time-interval. you will record the behavior at ever 2-minute interval that the animal is portraying. it is best to set the timer to beep at every 2 minutes. for example, at 2.00 the animal is walking quadrupedally on a branch. remember you are just recording the behavior of the animal at the time-interval. you must have a minimum of 10 items.
Specific focal animal codes are also provided for specific activities.
For these above mentioned sampling techniques, it is said to collect various data of the primates from a particular video within 2 minutes of time interval.
These data are of context (general activity), position, social behaviour, substrate, food (type of eating) for focal animal sampling and feeding, resting, travelling, social for scan sampling. For focal animal sampling the total time is one-half hour and for scan sampling it is 20 minute which we have to devide by 2 minutes of intervals.
For example if the video is of 6 minutes then it would be as follows:
0:00 - 2:00 = Context, position, etc.
2:00 - 4:00 = Context, position, etc.
4:00 - 6:00 = Context, position, etc.
Specific focal animal codes are also provided for specific activities.
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a light ray reflects from a surface. if the angle of incidence is 24°, what is the angle that the reflected ray makes with the surface? 
Since the angle of incidence and reflection are equal (90° - 24° = 66°), the angle that perhaps the reflected beam forms with the surface is 66°.
What is the science's perspective?If two lines meet at a common point, an angle is created. A right angle is one that is 90 degrees, and they can be found within every corner of a square. Angles that are wider are said to as obtuse and those that are more acute.
In physics, how is a plane angle?As illustrated below, the size of the circle that the arcs at two points subtend and its arc length together define the angle, or, that is formed when the lines from those two points meet at the circle's vertex.
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a grunting porpoise emits sound at 57 hz. what is the wavelength of this sound in water, where the speed of sound is 1500 m/s? (in m)
The wavelength of this sound in water, where the speed of sound is 1500 m/s is 26.31 m.
What is wavelength ?
The wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats.
[tex]V=n \lambda[/tex]
where λ is wave length, n frequency and V velocity of sound
[tex]\lambda=\frac{V}{n}=\frac{1500}{57}=26.315 \mathrm{~m}[/tex]
The frequency f = 57 Hz of the sound that the purpoiseemits is the same in water as it was in its original medium. If thevelocity of sound in water is v = 1500 m/s, the relationship between velocity, wavelength λ and frequencyis:
[tex]v=f \lambda[/tex]
[tex]\lambda=\frac{v}{f}[/tex]
[tex]\lambda=\frac{1500}{57}[/tex]= 26.31 m
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Radio waves travel through empty space
-faster than visible light.
-slower than visible light.
-at the speed of visible light.
-with only electric fields and not magnetic fields.
Compared to visible light, radio waves are less energetic and move more slowly.
The speed of light, which is roughly 186,000 miles per second, is what radio waves move at. In other words, light may go farther than the entire globe in the same amount of time that radio waves take to cover the distance of a football field. The speed and energy of radio waves would be slower than those of visible light. Compared to radio waves, visible light would have a shorter wavelength and lesser energy. The speed of radio waves and the speed of light in the visible spectrum are identical. In a vacuum, they both move at a speed of 3 108 3 10 8 metres per second. The visible light that our eyes detect is electromagnetic radiation of this kind. The researchers claim that they can make the wave travel faster than the speed of light by carefully adjusting the frequency of the voltage and the phase displacement. The fastest rate of charge transmission, however, is slower than the speed of light.
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two students are playing paper football at their lab table. the first student launches the paper football at 15 m/s at 43 degrees. find the x component of the velocity vector.
Two students are playing paper football. The x-component of the velocity vector is 10.97 m/s.
Given that,
Initial velocity of the football is, u = 15 m/s
Angle of projection, θ = 43°
The x-component of the velocity which is also known as horizontal component is given as:
Vx = V cos(43°) = 15* 0.731 = 10.965 ≈ 10.97 m/s
The y-component of the velocity which is also known as vertical component is given as:
Vy = V sin(43°) = 15* 0.682 = 10.23 m/s
Thus, x-component of the velocity is 10.97 m/s, y-component of the velocity is 10.23 m/s.
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what power, in watts, is supplied by the force pushing up on the man? (ignore gains or losses in kinetic energy.)
The Power power, in watts, is supplied by the force pushing up on the man is 1165.44 W.
How do you calculate power delivered by a force?Power can be characterized as the speed at which work is completed or energy is consumed. Since one unit of energy must be required to perform one unit of labor, these two definitions are identical. It is frequently practical to compute the average power.Work is the result of a force creating a displacement. The length of time that this force exerts to generate the displacement has nothing to do with work. The pace of the process can vary from being completed quickly to taking a while. A rock climber, for instance, takes an unusually lengthy time to raise her body a few meters up the cliff's edge.a) Power P = Work done(W)/time taken(t)
= [tex]\frac{mgh}{t}[/tex]
= [tex]\frac{(74.7)(9.8)(19.9)}{12.5}[/tex]
= 1165.44 W
b) Let the Power expended by his body be P'
We have (0.412)P' = P
⇒ P' = [tex]\frac{P}{0.412}[/tex] = ([tex]\frac{1165.44}{0.412}[/tex]) = 2828.74 W
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below, put the parts of a star's life in order from shortest to longest time spent by the star in that part of its life, with 1 as the shortest (fastest part of the star's life) and 4 being the longest (how the star spends most of its life).
Their exists seven stages in a stars life cycle. They start as a gas cloud and end as a star remnant. The shortest stage is red giant and longest stage is main sequence.
What are the seven stages of stars life?
Just like hunna beings stars also undergo through a life cycle. Even they are born, change and grow and then ultimately die.
There are around seven main stages of a star
1. Giant gas cloud : As the name suggests, it's basically a large cloud of gas. Here, temperature is least and origination of
molecules begin here.
2. Protostar : the molecules that were born in giant gas cloud, starts running towards each other in this stage. They start mixing and produce heat energy. Hence, a warm clump of molecules originate called as a protostar.
3. T-Tauri phase: here, the protostar stage stops and large amount of heat energy is released the temperature here is still moderate.
4. Main sequence : here the temperature reaches at a point, where fusion can begin. Here basically hydrogen gets converted to atoms of helium.
5. Red giant: here the star appears red and that's why it's name is red giant. In this stage, the star contracts inside because of gravity.
6. Fusion of heavier elements: here helium molecules fuse at the core and the star starts expanding. Slowly, core shrinks and carbon starts fusing and helium fusion ends. This keeps on happening until iron appears on the core. Iron then collapses the core. And because of this collapse, the star turns into supernova.
7. Supernova : here, the core implodes into a neutron star or a black hole. Smaller stars don't explode and contract inside. These small stars are the most common stars that burn for trillions of years.
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a transverse wave on a thin rope has a wavelength of 58\;\mathrm{cm}58cm, an amplitude of 6.4\;\mathrm{cm}6.4cm, and a period of 7.3\;\mathrm{s}7.3s. what is the propagation velocity of this wave?
The size of a wave is equivalent to half its top to valley distance, which is the solution to the question.
How can one measure wavelength?A wave sensor's length, which corresponds to the distance between two identical locations (next crests) in successive cycles, determines whether it is sent through space or via a wire. In wireless systems, this length is often specified in meters (m), centimeters (cm), or millimeter (mm) (mm). The duration can be calculated as the distance between two contiguous wave front peaks or waves propagating compressions. It is often represented in meters. Such waves have a relationship between their energy and wavelength. Waves with a shorter wavelength have had more energy than waves with a longer wavelength of the same intensity.A wave is generated as a result of oscillations which creates disturbances in the medium and these disturbances termed as waves propagates or travels from one point to another.Waves can be classifies as:Mechanical waves which requires material medium for their propagationElectromagnetic waves which do not require any material medium to propagate.A wave travels at a specific velocity depending on the type of the medium in which it propagates.Briefing:
A = 1/2* distance
A = 1/2* 5.8
A = 2.9m
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Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown:
%u2212(1/2)%u03BB 2%u03BB %u22125%u03BB (3/2)%u03BB 0 (17/2)%u03BB (6/2)%u03BB Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves.
Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.
The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.
From the question, we have
When the path difference is equal to an integral multiple of the wavelength, two coherent waves interact positively.
That is the path difference must be mλ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Hence, the pair BCEG interfere constructively
Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.
That is the path difference must be (m+1/2)λ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Hence, the pair ADF interfere destructively
Interference:
Interference is what happens when two or more waves meet each other. The peaks and troughs of the overlapping waves may add up, or they may partially or entirely cancel one another, depending on how they line up. Interference, as defined, is the phenomena when two or more waves combine to produce a new wave that has the same, a bigger, or a lesser amplitude.
Complete question:
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively
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in Section 24-2. you learned how Neptune is afferent from Uranus, and how its rings and moons fomed and evolved Based on what you leamed about Uranus select all of the correct statements from the following list Neptune is similar to Uranus as far as sze, mass, composition and interior structure Lke Uranus, Neptune shows very little atmospheric activity Neptune's largestmoon Triton, has a retrograde orbit which suggests that it was captured i Beng much farther from the sun. Nepture has less internal heat than Uranus Triton has a tin atmosphere and may be geologically active Lke Uranus. Neptune's solid core prevented from having a magnetic field Neptune's position was predicted before it was discovered
Neptune and Uranus are similar in terms of size, mass, composition, and internal structure. The largest moon of Neptune, Triton, appears to have been captured because of its retrograde orbit.
Triton has a thin atmosphere and could be experiencing geological activity. Neptune's location was anticipated before it was ever discovered. Neptune is one of just two ice giants in the outer solar system (the other is Uranus). The planet's bulk, which is composed of a hot, dense fluid floating atop a tiny, rocky core, is primarily made up of water, methane, and ammonia (80% or more). Uranus is Neptune's identical twin. Their mass and chemical contents are equivalent. They are composed of an exterior layer of rocks and a mantle that is a mixture of water, ammonia, and methane ices.
Therefore, a physical body's mass is its total amount of matter. Inertia, or the body's resistance to acceleration (change of velocity) when a net force is applied, is also measured by this property. The gravitational pull an object has on other bodies is also influenced by its mass. The kilograms is the fundamental mass unit of SI (kg).
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a ground wire is an essential component for a circuit breaker. please select the best answer from the choices provided t f
It is false to say that a ground wire is an essential component for a circuit breaker. So, given statement is false.
The reason for why it is off-base on the grounds is that the seriousness of an electric shock relies upon how much flow streaming in it, not on the sort of material by which it is made. An electrical switch is an electrical wellbeing gadget intended to shield an electrical circuit from harm brought about by an overcurrent or cut off. Its essential capability is to hinder current stream to safeguard hardware and to forestall the gamble of fire.
Dissimilar to a wire, which works once and afterward should be supplanted, an electrical switch can be reset (either physically or naturally) to continue typical activity.
Circuit breakers are made in changing sizes, from little gadgets that safeguard low-current circuits or individual domestic devices, to huge switchgear intended to safeguard high voltage circuits taking care of a whole city. The conventional capability of an electrical switch, or circuit, as a programmed method for eliminating power from a broken framework, is frequently truncated as OCPD (Over Flow Insurance Gadget).
Hence, given statement is false.
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a 12 cm length spring is attached to the ceiling. when a 2.5 kg mass is hung from it, the spring stretches to a length of 16 cm. calculate the spring constant, k.
the spring constant, k for a 12 cm length attached to the ceiling with 2.5 kg mass is 612.5.
what is spring constant ?
The stiffness of the spring is how we determine spring constant. In other words, we can define the spring constant as the force used to produce the specified displacement when the spring's displacement is one unit. It follows that a spring's spring constant will increase with increasing spring stiffness.
from the given information -
length of spring before attaching mass = 12 cm
length after attaching mass = 16 cm
mass attached = 2,5 kg
Force = k.x
k= Force/x = 2.5 x 9.8 / 0.04 = 612.5
Thus the spring constant, k for a 12 cm length attached to the ceiling with 2.5 kg mass is 612.5.
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why have so many kuiper belt objects been discovered during the last two decades but not before then?
The Kuiper Belt has been known since the 1950s, but it wasn't until the 1990s that technology advanced enough to provide astronomers with the means to observe and detect Kuiper Belt objects.
Advances in telescope and imaging technology made it possible to detect faint and distant objects, and the use of powerful computers enabled the analysis of vast amounts of data. The discovery of the first Kuiper Belt object, 1992 QB1, in 1992, marked the beginning of a new era of exploration and discovery of the Kuiper Belt.
What is the Kuiper Belt?Is a region of the outer solar system beyond the orbit of Neptune that is home to thousands of icy small bodies, including dwarf planets like Pluto. It is believed to contain the source material for comets that originate in the outer solar system.
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Please HELPPPP!!! Describe the frequency and wavelength range of this type of electromagnetic wave. IM uses X-Ray which uses Ionizing radiation.
The frequency range of electromagnetic waves of X-ray is 3 ×10¹⁶ Hz to 3 ×10¹⁹ Hz. The wavelength range of electromagnetic waves of X-ray is 0.01 nm t0 10 nm.
What is the electromagnetic spectrum?The electromagnetic spectrum of electromagnetic waves can be described as the range of frequencies of electromagnetic radiation and its wavelengths and photon energies. The electromagnetic spectrum have range from one Hertz to above 10²⁵ Hertz.
The wavelength of electromagnetic radiation lies in between 380 to 760 nm and is detected by the human eye and characterized as visible light.
Electromagnetic waves of each frequency band are known by different names; starting at the low frequency (long wavelength) end of the spectrum these are radio waves, microwaves, infrared (IR), visible light, UV, X-rays, and gamma rays at the high-frequency (short wavelength) end.
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which of the following are true of how proportions of oxygen isotopes are changed over interglacial and glacial periods in seawater and glacial ice?
If a glacier has a smooth bedrock-glacier interface and/or that interface contains water from melting ice, that glacier is likely to move more rapidly than one that has an irregular interface and is frozen at its base is true.
Isotope geochemistry is a key technique for studying long-term climate change. The most common type of oxygen has 8 protons and 8 neutrons, giving it an atomic weight of 16 (¹⁶O), which is referred to as "light" oxygen. Because only a tiny percentage of oxygen atoms contain two additional neutrons, giving them an atomic weight of 18 (¹⁸O), or "heavy" oxygen, the rest of oxygen is referred to as "light" oxygen. Only roughly 1 in 500 oxygen atoms contain the uncommon form ¹⁸O.
Although the amount of heavy oxygen in ice varies with temperature, it has less ¹⁸O than saltwater. We need to consider the process of glacier formation in order to comprehend why this may be the case. The water-ice in glaciers began as mist in the seas, fell as snow, and then solidified into ice. When water vaporizes, the light water ([tex]H_{2}[/tex]O) enriches the water vapor while the heavy water ([tex]H_{2}[/tex]¹⁸O) is left behind ([tex]H_{2}[/tex]¹⁶O). This is only a result of the heavier molecules finding it more difficult to get past the evaporation barriers. So, although the oceans are considerably richer in ¹⁸O, glaciers are relatively enhanced in ¹⁶O. In contrast to warmer regions, this imbalance is more pronounced in colder climates.
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The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is.
The amount of air drag on an 0.8 N flying squirrel dropping vertically at terminal velocity is 0.8 N
What speed is terminal velocity ?The terminal velocity is the speed at which an object falls freely through a gas or liquid.
A parachutist will typically reach a terminal velocity of about 150 miles per hour (240 km/h) if they wait to open the chute.
While raindrops fall at a significantly lower terminal velocity than a mist of minute oil droplets, the latter settles with an incredibly low terminal velocity.
When forced to move at a faster speed than its maximum speed, an object will slow. An object dropped from rest will increase its speed until it reaches terminal velocity, then slow down to this constant velocity upon release.
As a result, an object reaches terminal velocity when its acceleration (or deceleration) is zero and its speed is no longer increasing or decreasing.
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g a projectile is shot directly away from earth's surface. neglect the rotation of the earth. what multiple of earth's radius gives the radial distance the projectile reaches if its initial speed is 0.745 of the escape
The multiple of earth's radius which gives the radial distance is 4/3 or 1.33.
Initial speed = 0.745
However,
We know that escape velocity = V = √ (GM/2Rₓ)
So, using the property of energy conservation,
= (1/2)mv² - GMm/2Rₓ
= - GMm/r
The escape velocity, in astronomy and space exploration, is the velocity needed for a body to escape from a gravitational centre of attraction without undergoing any further acceleration. It is the minimum velocity required by a body to be projected to overcome the gravitational pull of the earth.
Thus,
= r = 4Rₓ / 3
Hence the multiple of Rₓ is 4/3 or 1.33.
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This reaction represents cellular respiration. What happens to the energy released from glucose during this reaction?.
–686 kcal/mol, shows an instance in which the energy released from glucose during cellular respiration would be captures as ADP or lost as heat.
What is energy?energy is ability to do the work.Scientist defines energy as the ability do to the work.
The energy released from glucose during this reaction is used and also wasted. Some of the energy is used as work while some amounts are used in other processes or stored for transfer to other organisms. Also, some of the energy is wasted in the form of heat.
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as a crude model, assume that an α particle consists of two pointlike protons attracted by a hooke's-law spring with spring constant k , and ignore the neutrons. assume further that in the absence of other forces, the spring has an equilibrium separation of zero. write an expression for the potential energy when the protons are separated by distance d .
Potential energy (PE) is the energy that a body has due to its position or compressed state; it has the formula PE=MGH, where M stands for mass, G for the force of gravity.
What is potential energy, and what does it look like?Work done to the object is equal to force times displacement. Here is the formula for potential energy. According to the rule of conservation of energy, since the amount of work an item does is equal to mgh, the energy gained by the object is equal to mgh, which in this case is the potential energy E.
What does energy express itself as?Joules (J), commonly known as Newton-meters, is the SI unit of energy.
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two pool balls, each moving at 2 m/s, roll toward each other and collide. suppose after bouncing apart, each moves at 2 m/s. assume the positive direction is to the right. this collision violates conservation of a. kinetic energy b. momentum c. both kinetic and momentum d. none of the above
Answer:
(D) From what has been given
For a linear elastic collision the speed of separation equals the speed of approach - if the relative speed of approach was 4 m/s, the relative speed of separation will be 4 m/s - both KE and momentum are considered conserved
you pull up a 75 N bucket using a fixed pulley. the rope does not stretch, so the effort and resistance are the same. however you must exert an 80 N force because of friction. find the efficiency.
Answer: 94% efficiency
Explanation:
The equation needed:
Efficiency = Energy Output/Energy Input | (Eo)/(Ei)75N = Output | 80N = Input(75)/(80) = 0.9375Simplify = 0.94Convert to Percentage 0.94 = 94% (Move two decimals to the right)Anna Litical analyzes the force between a planet and its moon, varying the mass of
the moon and the distance between the moon and the planet. Her data is shown
below. Which force ranking is consistant with Anna's data?
Trial Mmoon (kg)
1
6 x 1022
2
6 x 1022
3
3 x 1022
d (km)
3500
7000
7000
Trial 3 is the largest, trial 1 is the smallest
Trial 3 is the largest, trial 2 is the smallest
O Trial 1 is the largest, trial 3 is the smallest
Trial 1 is the largest, trial 2 is the smallest
Answer:
Trial 1 is the largest, trial 3 is the smallest
Explanation:
Given:
Trial 1
M₁ = 6·10²² kg
d₁ = 3 500 km = 3.5·10⁶ м
Trial 2
M₂ = 6·10²² kg
d₂ = 7 000 km = 7·10⁶ м
Trial 3
M₃ = 3·10²² kg
d₃ = 7 000 km = 7·10⁶ м
___________
F - ?
Gravitational force:
F₁ = G·m·M₁ / d₁² = m·6.67·10⁻¹¹·6·10²² / (3.5·10⁶)² = 0.37·m (N)
F₂ = G·m·M₂ / d₂² = m·6.67·10⁻¹¹·6·10²² / (7·10⁶)² = 0.08·m (N)
F₃ = G·m·M₃ / d₃² = m·6.67·10⁻¹¹·3·10²² / (7·10⁶)² = 0.04·m (N)
Trial 1 is the largest, trial 3 is the smallest
the temperature of an object is 172°c. what is the peak wavelength (in µm) of the radiation emitted by the object at this temperature?
The temperature of an object is 172°c. what is the peak wavelength (in µm) of the radiation emitted by the object at this temperature is 6.5101 μm.
The link between a blackbody's temperature and the wavelength at which it emits the most light is known as Wien's law, commonly referred to as Wien's displacement law.
According to Weins Equation spectral radiance of black-body radiation per unit wavelength, peaks at the wavelength λpeak given by:
λ(peak) = b/T
where T is the absolute temperature. b is a constant of proportionality. So the higher the temperature, the shorter or smaller the wavelength of the thermal radiation. The lower the temperature, the longer or larger the wavelength of the thermal radiation.
Now, T= 172+ 273.15 = 445.15 K
λ(peak)= 2898 μm⋅K/445.15 K (As value of b is 2898 μm)
λ(peak) = 6.5101 μm
Therefore, peak wavelength of the radiation is 6.5101 μm.
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(a) what is the period of small-angle oscillations of a simple pendulum with a mass of 0.6 kg at the end of a string of length 5 m?
Answer:
T = 2 π (L / g)^1/2
T = 6.28 (5 m / 9.80 m/s^2)^1/2
T = 4.49 sec (the period is not dependent on mass)
the technology that allows engineers to penetrate rock at multiple angles instead of simply a straight line is called(1 point)
Answer: Directional Drilling and Tunneling
Explanation:
The method used by engineers to pierce rock at angles other than just a straight line is known as directional drilling.
What is Directional drilling?Directional drilling is defined as the practice of accessing an underground oil or gas reserve by drilling in a non-vertical direction where directional drilling is also called directional boring. Directional drilling increases the efficiency of oil and gas extraction, and can also reduce the environmental impact of drilling.
Drills are primarily used in woodworking, metalworking, construction, machine tool fabrication, construction, and utility projects. Specially designed versions have been made for miniature applications.
Thus, the method used by engineers to pierce rock at angles other than just a straight line is known as directional drilling.
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What is the momentum of a golf ball with a mass of 62 g moving at 73 m/s? if the impact between the ball and club lasted for 2. 0 x 10-3 s, what force acted on the ball?.
The final answer is:
A) momentum = 4.53 kgm/s
B) Force = 2263 J
Given:
mass = 62 g = 0.062 kg
velocity = 73 m/s
Impact lasted = 2 × 10⁻³
A) The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question
mass = 62 g = 0.062 kg
velocity = 73 m/s
We have
momentum = 0.062 × 73 = 4.526
momentum = 4.53 kgm/s
B) To find the force on the ball,
We can use the formula as:
force= (62/1000) × [73-0/(2 × 10⁻³)]
force = 2263 J
Therefore the momentum of the ball is 4.53 kgm/s and the force is 2263 J.
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