Answers
The cannonball will be 311.8 m far in meter when it travels horizontally
What is a Projectile ?A projectile is any object like stone, ball or javelin that take a parabolic path when thrown into the air.
The following parameters are given from the question
Ф = 30°u = 60 m/sg = 10 m/s²R = ?Resolve the initial velocity into horizontal and vertical components. That is,
Horizontal component = ucosФVertical component = usinФTo calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 311.8 m approximately horizontally.
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Related Questions
What is the wavelength of maximum intensity and the total energy emitted by a celestial object at absolute zero?
Answers
Wavelength is Infinity
What is Wavelength?
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is often defined in wireless systems in metres(m), centimetres(cm), or millimetres(mm).
A blackbody never approaches zero, hence the wavelength of the highest intensity that a heavenly object may produce is infinite. As a celestial object's temperature rises, its overall energy output increases quickly.
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If the fifth order minimum in the diffraction pattern of a thin slit is at 40° from the central maximum, what is the highest order minimum in the pattern?
Answers
The highest order minimum in the diffraction pattern [tex]7^{0}[/tex].
Diffraction patternThe same way that an imaging mode electron beam is focused on the material to create an image, a parallel electron beam is used to create diffraction patterns. The beam transmitted is focused on the screen's diffraction pattern by the intermediate lens and its chosen area aperture, which determines the beam's width.
Crystallography studies of materials can benefit from the diffraction mode. Using this mode, one can establish the space group and orientation of crystals. the anoparticle's diffraction pattern, which is depicted on the left. The little spots and rings in polycrystalline samples indicate that it is crystalline.
A disc's closely spaced tracks work as a diffraction grating to create the well-known rainbow pattern that is seen while staring at a disc, which is one of the most spectacular instances of diffraction.
If the fifth order minimum in the diffraction pattern of a thin slit is at 40° from the central maximum, what is the highest order minimum in the pattern?
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Fetch is ________. Group of answer choices the distance between the trough of a wave and the still water level the circular pattern made by water particles when a wave passes a method of shoreline erosion control the distance over which the wind blows over open water
Answers
Fetch is the distance over which the wind blows over open water generating mechanical waves; option D
What are waves?Waves are disturbance which occur in a substance or medium which project energy as they travel along a particular plane or direction.
There are two types of waves:
mechanical waveselectromagnetic wavesMechanical waves are waves which involve the disturbances that occur in particulate matter and which require a material medium for their transmission.
Fetch is an area of ocean or lake surface over which the wind blows in a constant direction, thus generating waves.
In conclusion, mechanical waves require material media for transmission.
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The annual variation in the amount of solar radiation received varies with latitude because the ______.
Answers
The annual variation in the amount of solar radiation received varies with latitude because the direction of Earth's tilt changes with respect to the Sun during the year.
How does solar radiation vary with latitude ?
Despite the fact that high latitude regions receive more solar radiation than low latitude regions do, heat is nevertheless transported throughout the planet by the ocean and the atmosphere.
How does the amount of solar radiation received vary on Earth?
As a result of reduced radiation protection, areas closer to the equator typically experience higher levels of solar radiation exposure. However, because to the angle of the sun and the tilt of the Earth's axis, areas farther north or south receive more solar energy.What is the relationship between the annual solar radiation cycle and the annual temperature cycle?
The coldest day of the year occurs after the winter solstice, and the warmest day of the year occurs (on average, so many days) after the summer solstice, because the annual temperature cycle lags the annual radiation cycle.
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Suppose there were no solar wind. How would the appearance of a comet in our inner solar system be different?.
Answers
If there were no solar wind, then the appearance of a comet in our inner solar system would be different because it would have only one tail instead of two.
What is a comet?A comet is a celestial body that travels across the Universe and releases gases when warms by passing near the stars such as the Sun.
Comet tail is the result of gas and dust due to this process of warming, which is directly related to solar winds.
In conclusion, if there were no solar wind, then the appearance of a comet in our inner solar system would be different because it would have only one tail instead of two.
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Why is there an error between the calculated values of r and the nominal value of r?.
Answers
The nominal value is based on experimental results whereas this model is likely based on the ideal gas law, which real gasses don't follow precisely.
What is nominal value?In economics, nominal values guide the unadjusted rate or current price, without taking inflation or other elements into account as opposed to real discounts, where adjustments are made for available price level changes over the period.The nominal price of a guarantee is its stated value, its saving price, or its unadjusted price, without taking into account inflation and other elements. The real value of a guarantee is its market value or a modified price that accounts for price level transitions that have occurred over a period.In economics, the nominal significance is the unadjusted value of an asset without carrying into account deductions and compensations, such as expenses, taxes, and inflation. It is the difference between the real value of an asset, which contemplates deductions and premiums.To learn more about nominal value, refer to:
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The quartz crystal in a digital watch has a frequency of 32. 8 khz. what is its period of oscillation?
Answers
Time Period of Oscillation-1/32800 Hz
Time Period of Oscillation - 3.04 × 10¹.
Two related parameters are oscillation frequency and period. Actually, they are the opposites of one another. As a result, the following formula can be used to determine the quartz crystal's oscillation period:
Time Period of Oscillation = 1/Oscillation Frequency
where.
Frequency of Oscillation-32.8 KHz
Frequency of Oscillation - 32800 H₂
Therefore
Time Period of Oscillation-1/32800 Hz
Time Period of Oscillation - 3.04 × 10¹.
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The time period of oscillation is 3.04×10
what is time period?
A time period (denoted by 'T'' ) is the time taken for one complete cycle of vibration to pass a given point.[1] As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is 'seconds'.
The related parameters are oscillation frequency and period.They are the opposite of the another.As a result the formula to be used is
frequency=1/time
given:
Frequency of oscillation=32.8khz=32800hz
therefore,
time period of oscillation=1/32800hz
time period of oscillation=3.04×10
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What expression gives the wavelength of the third harmonic for a 1.5 m pipe that is closed at one end?
Answers
The expression that gives the wavelength of the third harmonic for a 1.5 m pipe that is closed at one end is,
λ = (4/3)*L
where, λ represents the wavelength and L represents Length of the pipe.
What is a wave?The distance between sound wave points or waves crests that follow one another is known as wave.What are a crest?The crest of a wave refers to its highest surface area.What is a trough?The trough refers to a wave's lowest surface area.
Basic properties of waves include:wavelength - the distance between successive crests is said to be known as wavelength.
frequency - number of vibrations per second is considered to be frequency.
time period - the time taken by a complete cycle of the wave to pass a point is defined as time period.
speed - the rate at which an object covers distance can be defined as speed.
amplitude - the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position is known as amplitude.
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When full, the innermost electron shell of argon contains ________ electrons, and the outermost shell contains ________ electrons.
Answers
The innermost electron shell of argon contains 2 electrons, and the outermost shell contains 8 electrons.
To find the answer, we have to know more about the electronic configuration.
What is the electronic configuration of Argon?As we know that, the element Argon in the periodic table has an atomic number of 18.Since its atomic number is 18, it should have 18 number of electrons in the elemental state.The first shell or K shell of Argon can carry 2 electrons, and rest of the 16 electrons will filled in the L and M shells.For, L has a maximum number of 8 electrons, and thus, the rest 8 will move to M.Thus, we can conclude that, the innermost electron shell of argon contains 2 electrons, and the outermost shell contains 8 electrons.
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Doctors once believed that illness was caused by foul air and could not be transmitted from one person to another. now, doctors know that single-celled bacteria and even smaller viruses cause illnesses and can be transmitted from one person to another. how did the advent of the microscope most likely affect the foul-air theory? it supported the theory of foul air causing illness and helped the theory become a law. it provided evidence for other causes of illness, but scientists did not change the theory. it allowed scientists to change the theory before any new information was collected. it allowed scientists to see small organisms in sick individuals and change the theory.
Answers
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Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. what is the component form of the vector u v?
Answers
-3.90, 1.83 are the component form of the vector u v.
What is magnitude of vector?
The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.The component form of a vector is the ordered pair that describes the changes in the x- and y-values. In the graph above x1=0, y1=0 and x2=2, y2=5. The ordered pair that describes the changes is (x²- x, y²- y), in our example (2-0, 5-0) or (2,5).We have vector u = 5 ( cos 75 i + sin 75 j )
= 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j )
= -5.19 i - 3 j
Now we add both component
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j)
= -3.90 i + 1.83 j
= < -3.90, 1.83>
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The correct option is (D). < -3.90, 1.83>
Vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
What are vectors?
Quantities with both a magnitude and a direction are called vectors. A vector can be used to represent a vehicle's motion in the real world. 65 mph is the direction of travel for the car. In this illustration, the vector's magnitude is represented by the car's 65 mph speed and its direction by the northwest. In the study of physics, the use of vectors to depict how forces operate on objects is crucial.Given, vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j
= < -3.90, 1.83>
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A car starts from rest and constantly accelerates at a rate of 10 [m/s2 ] during a 402 [m] race. how fast is the car going at the finish line?
Answers
A car starts from rest and constantly accelerates at a rate of 10 [m/s2 ] during a 402 [m] race. At the finish line, the speed of the car is [tex]\mathbf{89}.\mathbf{6660}\ \mathbit{m}/\mathbit{s}[/tex].
The initial velocity of the car [tex]u = 0[/tex]
Constant acceleration [tex]a = 10~ m/s^2[/tex]
Distance of the Race [tex]d = 402~ m[/tex]
The car is accelerating with a constant acceleration [tex]a[/tex] , so the car's velocity will change with time as it approaches the finish point which is at a distance [tex]d[/tex] from the initial point.
Newton's equation is the backbone of Classical Mechanics. Let's say the velocity of the car at the finish line is [tex]v[/tex]. We know that displacement is the product of average velocity and time.
Or [tex]s=\frac{u+v}{2}\times t[/tex]
Using Newton’s first equation [tex]v\ =\ u\ +\ at[/tex]
Newton's equation of motion turns out to be,
[tex]v^2 = u^2+2ad[/tex]
[tex]v^2 = 2\times 10 \times 402[/tex]
so, [tex]v = \sqrt{8040} = 89.6667 ~m/s[/tex]
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If a closed loop lies partially inside and partially outside a region of changing magnetic field, which is true about calculating the induced electric field along the path?
Answers
If a closed loop lies partially inside and partially outside a region of changing magnetic field, to calculate the induced electric field along the path we use only the area within the flux change to calculate the electric field.
Induced Electric Fields:The electrostatic field is conservative and does no net work over a closed path, whereas the induced electric field is nonconservative and does net work in transferring a charge over a closed channel. As a result, whereas the induced field cannot be connected with electric potential, the electrostatic field can.
Faraday's law can be written in terms of the induced electric field as. ∮→E⋅d→l=−dΦmdt. The electrostatic field created by a fixed charge distribution and the electric field caused by a changing magnetic field is very different from one another.
An electric field is created by a fluctuating magnetic flux. The induced emf from Faraday's law is related to the fluctuating magnetic flux and the induced electric field.
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This is 25 points!!!
Although geothermal power is renewable and widely accessible due to geothermal energy being present all over the Earth, it is the least used type of power.
Only a few countries produce more than 15% of their total electricity from geothermal power; these countries include Iceland, El Salvador, New Zealand, the Philippines, and Kenya.
Why do you think those five countries use so much more l geothermal power? How could where they are located influence their use of geothermal power?
Answer in 3-5 complete sentences please.
Answers
Answer:
Geothermal energy is heat that is generated within the Earth. It is a renewable resource that can be harvested for human use.
the location of the following countries are very near to sea level giving them easy access to the energy.
This is what I think is the answer.
pls tell me if any mistakes..
I hope it was helpful..
On a planet in the solar system where the sky normally scatters light of lower frequencies, its sunsets would be?
Answers
The sky will appear in blue color at the sunset, if the sky of the planet scatters light of lower frequencies.
To find the answer, we have to know more about the scattering of light.
What is scattering of light?When light travels from one medium, like air or a glass of water, to another, scattering occurs. Part of the light is absorbed by the medium's particles, followed by subsequent radiation in a particular direction. The size of the scattered light's particles and its wavelength affect how intense it is.If the sky scatters a low frequency light, during sunset, this low frequency light will be totally absorbed by the atmospheric particles, and we can only be able to see the high frequency light.Thus, we can say that the sky will appear in blue color at the sunset, if the sky of the planet scatters light of lower frequencies.
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If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.
a. true
b. false
Answers
If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. It is a true statement .
Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.
According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy.
According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved i.e., the energy can neither be created nor be destroyed; it can only be internally converted from one form to another if the forces doing work on the system are conservative in nature.
since, potential energy is stored in the form of work done
Work done = Fs cos (theta)
If force always acts perpendicular to an object's direction of motion
theta = 90 °
cos (90 ) = 0
Work done = 0
since , there is no work done , hence kinetic energy will not change
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The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. What is the magnitude and direction of the electric field?
Answers
The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. The magnitude and direction of the electric field will be 400 V/m directed parallel to the +x-axis
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.
The relation between electric field and electric potential can be generally expressed as – “Electric field is the negative space derivative of electric potential.”
Electric field = - d V / dx
-(-2000-400) = [tex]\int\ {E} \, dx[/tex]
2400 = E (8-2)
2400 V = E (6)
E = 400 V/m
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Identify the saturation pressure corresponding to 32 degrees fahrenheit for r - 123
Answers
Hg vacuum at 20 inches is the saturation pressure that corresponds to 32 degrees Fahrenheit of R-123.
To find the answer, we need to know more about the saturation pressure.
What is saturation pressure?The saturation pressure is the pressure at which a vapor is in equilibrium with its liquid (such as steam with water).It is the highest pressure that water vapor can get at a particular temperature.R-123 refrigerant is probably hard to find these days. It was discovered that chlorine-containing refrigerants have the potential to actively harm the Ozone layer if they are released into the atmosphere.The saturation pressure that corresponds to 32 degrees Fahrenheit of R-123 is 20 inches Hg vacuum.Thus, we can conclude that, Hg vacuum at 20 inches is the saturation pressure that corresponds to 32 degrees Fahrenheit of R-123.
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A bubble of air of volume 1 cm^{3} is released by a deep-sea diver at a depth where the pressure is 4.0 atmospheres. Assuming its temperature remains constant (T1 = T2), what is its volume just before it reaches the surface where the pressure is 1.0 atmosphere?
Answers
The volume of the bubble just before the surface is 4 cm^3.
What is Boyle's law?As per Boyle's law,the volume of a gas at constant temperature varies inversely with the pressure exerted on it.P1V1=P2V2where , P1=pressure at the initial stageV1=volume of the initial stage
P2= pressure at the final stage
V2= volume at the final stage
How to calculate volume of the bubble just before the surface of water ?P1=4atm, V1=1cm^3, P2=1atmV2=P1V1/P2=(1×4)/1
=4cm³
Thus , we can conclude that the volume of the bubble just before the surface of water is 4cm³.
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A carnival ride accelerates upwards at 2.5 m/s. what is the apparent weight of a 35 kg child on the ride
Answers
The apparent weight of the child is 437.5 N.
Calculation:The weight of a person/object moving up with an acceleration "a" is given by
W = m (g + a)
where,
W = apparent weight
m = mass of the person/object
g = acceleration due to gravity = 10 m/s²
a = acceleration of the object/person
Given,
m = 35 kg
a = 2.5 m/s²
To find,
W =?
Put the value sin the formula,
W = m (g + a)
W = 35 (10 + 2.5)
= 35 (12.5)
= 437.5 N
Therefore, the apparent weight of the child is 437.5 N.
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An object is dropped from the top of a building and is observed to take 7. 2s to hit the ground. How tall is the building?.
Answers
the height of the building is H=36 m.
What is The Law of Gravity?According to Newton's law of gravity, every particle of matter in the universe is attracted to every other particle with a force that varies directly as the product of their masses and inversely as their distance from one another.
Properties of Gravity -
It is a universal attractive force. It is directly proportional to the product of the masses of the two bodies. It obey inverse square law. It is the weakest force known in nature.Examples of Gravity -
The force that holds the gases in the sun.The force that causes a ball you throw in the air to come down again.The force that causes a car to coast downhill even when you aren't stepping on the gas.v₀=0 m/s
H₀=0 m
g=10 m/s²
t=7,2 s
H - ?
[tex]H= H_{0} + v_{0}t+\frac{gt^{2} }{2} \\[/tex]
H = 0 +0 × 7.2 + 10(7.2)²/2
H = 36m
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What is the recommended range from which a temperature should be selected and maintained constantly to achieve targeted temperature manage?
Answers
The recommended range from which a temperature should be selected and maintained constantly to achieve targeted temperature manage is 32ºC-36ºC.
In most centers, the patient is actively cooled by using an induced hypothermia protocol for 24 hours to a goal temperature of 32ºC-36ºC. The goal is to achieve the target temperature as quickly as possible. In most cases, this can be achieved within 3-4 hours of initiating cooling.
Targeted temperature management (TTM), previously known as mild therapeutic hypothermia, in selected patients surviving out-of-hospital sudden cardiac arrest (OHCA) can significantly improve rates of long-term neurologically intact survival, [1] and it may prove to be one of the most important clinical advancements in the science of resuscitation.
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1- name the three things that must be present for a fire to exist. 2- water extinguishes fires in three ways. Name them. 3- there are two general types of hazards. Name them. 4- define each of the following characteristics of materials and tell each is important in industrial safety a. Flash point b. Flame point c. Ignition point d. Vapor pressure e. Specific gravity f. Evaporation rate g. Melting point h. Viscosity i. Boiling point.
Answers
1. Oxygen, heat, and fuel
These three things that must be present for a fire to exist.
2. (a) In order to put out the fire, it achieves this by removing the heat from it.
(b) Water can also be used to separate the fire from the oxygen source.
(c) It smothers it, preventing it from igniting more airborne oxygen.
Water extinguishes fires in these three ways.
3. (a)physical hazard
(b)chemical hazard
4.(a) If a liquid's flash point is lower than 60°C, it is regarded as flammable.
Regarding the security of spill cleaning activities, flash point is a crucial consideration.
When spilled, gasoline and other light fuels pose a considerable risk since they can ignite in the majority of ambient conditions.
(b) If your material's label contains a flame symbol, it means the substance is combustible, and you should review your SDS to learn more about the dangers and risks associated with using the substance.
(c) the lowest temperature at which combustible material ignites in air and continues to burn when heated (as in a bath of molten metal)
(d) The pressure that a vapor exerts on its condensed phases (solid or liquid) in a closed system at a specific temperature is known as vapor pressure.
(e) The difference between an object's density and that of a standard substance is its specific gravity.
Depending on its value, the specific gravity might indicate whether an object will float or sink in our reference substance.
(f) The ratio of the time needed to evaporate a test solvent to the time needed to evaporate the reference solvent under the same circumstances is the evaporation rate.
The findings can be stated as a relative rate, the percentage that evaporated within a given time frame, or the length of time needed to evaporate a given volume.
(g) The temperature at which a specific solid material melts, or transitions from a solid state to a liquid, is known as the melting point.
(h) The resistance of a fluid (liquid or gas) to a change in shape or motion of adjacent sections relative to one another is known as viscosity. Viscosity is a sign of flow resistance.
(i) The boiling point of a liquid is the temperature at which the pressure of the liquid's vapor equals the pressure of its surroundings.
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Imagine that you’re observing a collision. which action would allow you to determine whether the collision is inelastic?
Answers
Observe whether the colliding objects change their shape.
When observing a collision, we observe whether the colliding objects change their shape to see whether the collision is inelastic.
What is an inelastic collision?An inelastic collision is one in which the kinetic energy is lost. In an inelastic collision, the system's momentum is conserved, but its kinetic energy is not.
Which way does an elastic collision occur?Solution: (i) An inelastic collision occurs when the total initial kinetic energy of the bodies prior to the collision does not equal the total final kinetic energy of the bodies following the collision. Momentum is retained in (ii). In an inelastic collision, kinetic energy is not conserved.What are two instances of collisions that are completely inelastic?When two objects move as one mass after colliding, this is known as a perfectly inelastic collision. Examples: hitting a target board with an arrow. a meteor getting buried in the cracks of the Earth. The two items have united.To learn more about inelastic collision visit:
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What's the largest number of beats per second that will be heard from which pair of tuning forks?
Answers
The largest number of beats per second that will be heard from 763 and 774 Hz pair of tuning fork .
The beat frequency is equal to the complete value of the alteration in the frequency of the two waves. The count of beats per second is equivalent to the difference in frequencies of two waves is called beat frequency.
A tuning fork is a two-pronged metal fork that can be used as an acoustic resonator. Traditionally, this tool has been used to tune musical instruments. Tuning forks work by releasing a perfect wave pattern to match a musician's instrument.
The largest number of beats per second that will be heard from 763 and 774 Hz pair of tuning fork .
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A ball is gently dropped from a height of 20 m onto a hard surface where it make an elas
1) Show that the speed of the ball just before hits the ground is 20m/s (g=10m/s2)
2) Why isn’t the accelera
3) Use axes below to sketch a graph of how the velocity of the ball varies with
several bounces
Answers
Answer:
20 m/s
Explanation:
Use the position/displacement formula to find out how long the ball is in the air:
(distance) = (initial velocity)*(time) + (1/2)*(acceleration)*(time)^2
20 = 0*t + 1/2*10*t^2
t^2 = 4
t = 2 seconds
Use the velocity formula:
(final velocity) = (initial velocity) + (acceleration)*(time)
Vf = 0 + 10*2
Vf = 20 m/s
Ice at 0. 0∘c has a density of 917 kg/m3. a 3. 00 cm3 ice cube is gently released inside a small container filled with oil and is observed to be neutrally buoyant. what is the density of the oil, rhooil?
Answers
The density of the oil is 917kg/ m³.
An object is said to be naturally buoyant when ithas the tendency to float in a fluid.
from the law of floating when a body float in a liquid,the weight of the liquid displaced by its immersed part is equal to the total weight of body.
That is
weight (w)=upthrust (u)
w=u
therefore
u=Dvg
where, D= density of the ice
v= volume of ice
g= acceleration due to gravity
from the question
given:
D = 917kg/m {}^{3} [/tex]
v = 3.00cm {}^{3} [/tex]
g = 9.8m/s {}^{2} [/tex]
substitute these values in above equation
u = 917(3 \times 10 {}^{ - 6} )(9.8)[/tex]
u=0.027N
but,
upthrust= weight of oil displaced.And the ice will displaced an amount of oil,equal to its own weight.
therefore,
density of oil = u/gv = (0.027)/3 \times 10 {}^{ - 6)} (9.8)[/tex]
density of oil = 917kg/m {}^{3} [/tex]
hence the density of the oil is 917kg/m {}^{3} [/tex]
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What is the reactance of a 9. 0×10−2 μf capacitor connected to a 23 kv (rms), 550 hz line?
Answers
The Capacitive reactance of the capacitor is 3.22kΩ.
To find the answer, we have to study about the Capacitive reactance.
How to find the Capacitive reactance?It is given that,[tex]C=9*10^{-8}F\\f=550Hz\\[/tex]
Thus, the expression for capacitive reactance will be,[tex]X_c=\frac{1}{2\pi fC}[/tex]
By substituting values, we get,[tex]X_c=\frac{1}{2\pi *550*9*10^{-8}} \\\\X_c=3.22*10^3Ohm.[/tex]
Thus, we can conclude that, the Capacitive reactance of the capacitor is 3.22kΩ.
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5.
A train is moving on a straight track with a speed of 70.0km/h [E]. It slows down at a rate
of 2.00m/s2 [W] in a distance of 35.0m. Determine
a.The final speed of the train. b.How much time the train took to slow down to this speed.
Answers
Answer:
t = 1.659s
Explanation:
We can use the kinematics equations to solve this questions:
v = u + at
[tex]v^{2} = u^{2} +2as[/tex]
where v = Final Velocity, u = initial velocity, a = acceleration, t = time, s = displacement
a) Given information from the question,
u = [tex]\frac{70km}{h} =\frac{(70*1000)m}{(1*3600)s} = 19.444m/s[/tex] (Convert km/h to m/s first)
a = [tex]2m/s^{2}[/tex]
s = 35m
Now we can substitute these values into the 2nd kinematics equation to find v, final velocity.
[tex]v^{2} =(19.444)^{2} +2(2)(35)\\v=\sqrt{(19.444)^{2} +2(2)(35)} \\v= 22.761m/s (5.sf)\\[/tex]
b) Now we have the final velocity, we can substitute the values into the first kinematics equation to find t , the time taken.
v = u + at
22.761 = 19.444 + 2t
2t = 22.761 - 19.444
t =[tex]\frac{22.761-19.444}{2}[/tex]
t = 1.659s
Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?.
Answers
Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?
It's possible that our understanding of how gravity behaves on galaxy-scales is inaccurate or lacking in some way.
What is dark matter in space?We surmise that dark matter exists based on its gravitational pull on visible matter. In order to rule out the idea that our comprehension of gravity is leading us to incorrectly infer the presence of dark matter, the majority of scientists believe it to be extremely unlikely that there is a problem with our knowledge of gravity. As long as it is too faint for us to perceive beyond the halo of our galaxy, astronomers regard dark matter to be "dark." If a human were to be hurled into the halo of our galaxy, they might end up being dark matter. An estimated 85% of the universe's mass is assumed to be made up of dark matter, a hypothetical type of stuff. Dark matter is so-called because it doesn't seem to interact with the electromagnetic field, which means it doesn't emit electromagnetic radiation like light or absorb electromagnetic radiation like it does. As a result, it is hard to detect. Numerous astrophysical observations support the existence of dark matter, including gravitational effects that cannot be described by the gravity theories currently in use without the presence of more matter than can be observed. Because of this, the majority of scientists believe that dark matter is prevalent in the universe and has greatly influenced its structure and evolution.
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