If a disk rolls smoothly down a ramp, how is its acceleration related to its angular acceleration?
If a disk rolls smoothly down a ramp, the acceleration is related to its angular acceleration in such a way that It is equal to the product of the angular acceleration to the radius of the disk.
Linear acceleration is defined as the uniform acceleration caused by a moving body in a straight line. There are three equations that are important in linear acceleration depending upon the parameters like initial and final velocity, displacement, time and acceleration.
Angular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second. Thus, α = d ω/ d t. The angular acceleration is also known as rotational acceleration.
Its equal to the product of the angular acceleration to the radius of the disk.
This equation mean that linear acceleration and angular acceleration are directly proportional. The greater the angular acceleration is, the larger the linear (tangential) acceleration is, and vice versa.
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A car travels one third of a path with speed of 50 ms and two third of path with 20ms , its average speed will be.
a. 45ms
b. 30ms
c. 25ms
20ms
Its average speed will be 25 m/s approximately. The correct answer is option C
What is Average Speed ?Average speed is the ratio of total distance travelled to the total time taken. It is a scalar quantity and the S.I unit is m/s
Given that a car travels one third of a path with speed of 50 m/s and two third of path with 20m/s.
If the car travels one third of a path with speed of 50 m/s, then the time taken will be
Speed = distance / time
Time = distance / speed
Time = 1/3 ÷ 50
Time = 6.67 x [tex]10^{-3}[/tex] s
If the car travels the remaining two third of a path with speed of 20 m/s, then, the time taken will be
Time = distance / speed
Time = 2/3 ÷ 20
Time = 0.0333
Total time = 0.03333 + 0.00667
Total time = 0.04
The total distance travelled = 1
Average speed = Total distance travelled ÷ Total time
Average speed = 1/0.04
Average speed = 24.99979 m/s
Therefore, its average speed will be 25 m/s approximately.
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Calculate the angular separation θ1 at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1. 5 centimeters.
The angular separation is [tex]4.88 * 10^{-5} rad[/tex]
What is angular distance formula?
The formula is θ=s/r, where, θ is Angular Displacement, s is the distance traveled by the body, and. r is the radius of the circle along which it is moving.
What is meant by angular resolution?
The angular resolving power (or resolution) of a telescope is the smallest angle between close objects that can be seen clearly to be separate. Resolution is limited by the wave nature of light.
The angular separation is calculated as given below.
θ = 1.220 λ/d
Where λ is the wavelength and d is the diameter of the lens aperture.
θ1 = [tex]1.220 * \frac{600 * 10^{-9} }{1.5 * 10^{-2} }[/tex]
= 4.88 × [tex]10^{-5}[/tex] rad
Therefore, The angular separation is 4.88 × [tex]10^{-5}[/tex] rad.
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Metallic gold crystallizes in a face-centered cubic lattice, with one au atom per lattice point. if the edge length of the unit cell is found to be 408 pm, what is the metallic radius of au in pm?
The metallic radius (r) of au is 144.2pm
A face-centered cubic unit cell structure is made up of atoms arranged in a cube with six additional whole atoms placed in the centre of each cube face and a fraction of an atom at each of the cube's four corners. Eight additional unit cells share the atoms at the cube's corner.
Atoms in an FCC crystal are in contact along the unit cell's diagonal. 4r = √2 a, where r is the radius of an atom and a is the edge length of a unit cell.
Putting the values in the above expression,we get
r = √2×408 / 4
r = [tex]\frac{1.414*408}{4}[/tex]
r = [tex]\frac{576.9}{4}[/tex]
r = 144.2 pm
Therefore, The metallic radius (r) of au is 144.2pm
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I need help with this physics question ASAP. Thanks!
From the calculation, the horizontal distance is 310 m.
What is the range of a projectile?A projectile has to do with an object that is thrown at an angle. Now we know that the range of the projectile is given by the formula; R = u^2sin2θ/g
We we know that;
g = acceleration due to gravity
θ = angle
u = velocity
R = (60)^2 sin2(30)/10
R = 310 m
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A 60-m long wire is coiled so that it makes a coil containing 140 square loops, one on top of each other. if the wire carries a current of 21 a, what is the magnetic dipole moment of the coil?
A 60-m long wire is coiled so that it makes a coil containing 140 square loops, one on top of each other. if the wire carries a current of 21 a, the magnetic dipole moment of the coil will be 0.24 Am2
Dipole moment = i * A
Area = ?
given total length of the wire = 60 m number of square loops = 140total length of the wire = n * ( circumference of one loop) circumference of one loop = total length of the wire / n = 60 / 140 = 0.429 m circumference of one loop = 4 * (side of the square ) 0.429 = 4 * a a = [tex]0.107 m[/tex]
Area of loop = [tex]a^{2}[/tex]= [tex](0.107)^{2}[/tex] = [tex]0.01145 m^{2}[/tex]
Dipole moment = i * A = 21 * 0.01145 = 0.24 A [tex]m^{2}[/tex]
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A piece of purple plastic is charged with 3. 13×106 extra electrons compared to its neutral state. what is its net electric charge (including its sign) in coulombs?
A piece of purple plastic is charged with 3. 13×106 extra electrons compared to its neutral state, then the net electric charge in coulomb would be - 5.008×10⁻¹³ coulombs.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. We refer to an object as neutral if it has no net charge.
The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.
Then the charge on the 3.13×10⁶ extra electrons compared to its neutral state
=-1.6×10⁻¹⁹ ×(3.13×10⁶)
As given in the problem A piece of purple plastic is charged with 3.13×10⁶ extra electrons compared to its neutral state then the net electric charge in coulombs would be - 5.008×10⁻¹³ coulombs.
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According to the indiana driver’s manual, a passenger car traveling at 55 mph will take approximately _________ to brake to a complete stop.
A passenger car traveling at 55 mph will take approximately 130 - 140 feet to brake to a complete stop.
What is the braking distance?Indiana is one of the states that compose the United States of America. We know that in the United States, the laws are different depending on the state in which a person resides and so does the the traffic laws and the driver's manual.
Generally, a driver ought to apply the brake a good distance away from the obstacle depending on the speed of the driver. We know that a higher speed immediately implies that the driver must start braking early enough.
Hence, according to the Indiana driver’s manual, a passenger car traveling at 55 mph will take approximately 130 - 140 feet to brake to a complete stop.
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What happens to the density of a a gas when a fixed mass is compressed into a smaller volume?
a) density stays the same.
b) density increases.
c) density decreases.
A gas when a fixed mass is compressed into a smaller volume then b) density increases.
Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol: D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.
Mass is the measure of object's inertia, more the mass more the inertia. It is a property of material , so it does not change with place. SI unit is 'kg'. It is a scalar quantity.
Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.
Density = mass / volume
if mass is fixed, then mass = constant
Density will be inversely related to volume
hence , on compression , volume get decreased but mass is constant hence , density will increase
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If a total force exerted by water in a container with a bottom area of 3 square meters is 900 newtons, what's the water pressure at the bottom of the container?
Answer:
300 Pa
Explanation:
P=F/A
= 900/3
= 300 Pa
In a naturally converging beam, the distance from the face of the transducer to the narrowest point of the beam is known as?
Answer:
focal length
Explanation:
This describes focal length of the beam
what kind of energy is stored when you squeeze a mattress
Answer:
elastic energy
Explanation:
hope it helps you
Select the correct answer. jay bought a toy car. to make the car move, he must turn a key attached to a spring. turning the key winds the spring tight. the toy car moves when the key is released and the spring unwinds. what’s the main transformation of energy in this example? a silver color kids pedal car with a key to run it a. chemical energy to electric energy b. chemical energy to motion energy c. electric energy to motion energy d. electric energy to potential energy e. potential energy to motion energy
The main transformation of energy is chemical energy to motion energy.
How does the chemical energy is converted to motion energy?
Jay's body converted chemical energy into mechanical energy to wind up the key. Mechanical energy in the key's winding was transformed into potential energy in the spring. The spring then strives to release itself, and as the toy car rolls forward, the potential energy is transformed into kinetic energy or motion energy.
What is chemical energy?
Chemical energy is the energy that is released when chemical substances engage in a chemical reaction and change into other substances.
What is potential energy?Potential energy is the power that an object can store as a result of its position in relation to other objects, internal tensions, electric charge, or other circumstances.
What is kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
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Hope this is correct.
Homo erectus’s cranial capacity: _________
a) is always less than 1,000 cc.
b) is always more than 800 cc.
c) ranges from 650 cc to 1,200 cc.
d) ranges from 900 cc to 1,200 cc.
Homo erectus’s cranial capacity - ranges from 650 cc to 1,200 cc.
Homo erectus, an extinct species of Pleistocene archaic human, first appeared about 2 million years ago. The earliest known early human with dimensions similar to modern humans, including relatively long legs and small arms compared to the size of the torso, is Homo erectus. An extinct species of hominin that existed between 1.9 million and 135,000 years ago is known as homo Erectus.
The Homo erectus had certain ape-like characteristics, including huge teeth and a hefty jaw. They hunted and ate cooked meat, and they used fire. After closer inspection, it was discovered that the species' teeth showed signs of a diversified diet that included meat intake.
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An airplane flies with a velocity of 55.0 m/s [35o N of W] with respect to the air (this is known as air speed). If the velocity of the airplane according to an observer on the ground is 40.0 m/s [53o N of W], what was the wind velocity?
The wind velocity of the plane in discuss can be evaluated by means of the air velocity if the plane and the observed velocity is; 20.98m/s.
What is the wind velocity of the according to the observed velocity?It follows from the task content that the air velocity of the plane in discuss is; 55.0 m/s [35o N of W] while the observed velocity is; 40.0 m/s [53o N of W].
Hence, the components of both velocities can be evaluated as follows;
55.0 m/s [35o N of W] = (55cos35, 55sin35) = (45.05, 31.55)
40.0 m/s [53o N of W] = (24.07, 31.95)
Hence, the wind velocity can then be evaluated as follows;
Wind velocity = (24.07 - 45.05, 31.95- 31.55)
Wind velocity = (-20.98, 0.40)
The wind velocity would therefore have a magnitude of; √(-20.98)² + (0.40)²
= 20.98 m/s.
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Type the correct answer in the box. use numerals instead of words. anne has a sample of a substance. its volume is 20 cm3, and its mass is 100 grams. what is the sample’s density? the sample’s density is g/cm3.
The density of sample is 5 g/cm3
Given:
volume of sample = 20 cm3
mass of sample = 100 grams
To Find:
density of sample
Solution: Density is the measure of how much “stuff” is in a given amount of space. For example, a block of the heavier element lead (Pb) will be denser than the softer, lighter element gold (Au). A block of Styrofoam is less dense than a brick. It is defined as mass per unit volume
density = mass/volume
d = 100/20
d = 5 g/cm3
So, density of sample is 5 g/cm3
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the ball is thrown up . the direction of g will be ? 1. vertically downward 2. vertically upward 3. horizontal 4. nine of these
Answer:
1 because gravity pulls the object down towards the centre of the Earth.
the cullinan diamond weighs 621.35g and is estimated to have a value for 400 million. how many dollars per ounce do this equal
The value is equal to 18.26*10^6 dollars/ounces.
To find the answer, we have to know about the Cullinan diamond.
What is Cullinan diamond?The Cullinan Diamond, weighing 3,106.75 carats (621.35 g) (21.9 ounces), (1.37 pounds), was found at the Premier No.2 mine in Cullinan, South Africa, on January 26, 1905. It is the largest gem-quality rough diamond ever found.We have to find the dollars per ounce do this diamond equal,It is given that the diamond weighs 621.35g and is estimated to have a value for 400 million dollars. 621.35g means 21.9 ounces. Thus, for 1 ounce,[tex]21.9 Ounce= 621.35g=400*10^6 dollars\\\\value=\frac{400}{21.9} *10^6dollars/ounce=18.26*10^6dollars/ounce[/tex]
Thus, we can conclude that, the value is equal to 18.26*10^6dollars/ounces.
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A vector has a component of 10 m in the x-direction, a component of 10 m in the y-direction, and a component of 5 m in the z direction. The magnitude of this vector is?
The magnitude of this vector is 15
A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
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.
Let vector be = a
component of vector in x direction = 10 i
component of vector in y direction = 10 j
component of vector in z direction = 5 z
vector a = 10 i + 10 j + 5 z
magnitude of vector a = |a| = [tex]\sqrt{10^{2} +10^{2} + 5^{2} }[/tex]
= 15
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What is the speed of light in crown glass if the index of refraction for crown glass is 1. 52? provide the solution: ___________ x 108 m/s
The speed of light in crown glass with the index of refraction is 1.97×10^8 m/s.
Given index of refraction= 1.52
speed of light in vaccum= 3×10^8 m/s
speed of light in medium=c/n= 3×10^8/1.52= 1.97×10^8 m/s
About index of refraction:
The ratio of the speed of light in a vacuum to that in a second medium with a higher density is used to compute the refractive index (also known as the index of refraction). In mathematical formulae and descriptive writing, the letter n or n' is most frequently used to represent the refractive index variable.
The index of refraction controls how much light is refracted or twisted when it enters a substance.
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Using the rydberg constant determined in question 1, calculate the shortest wavelength in the paschen series
The shortest wavelength in the paschen series= [tex]8.2\times 10^{-7}[/tex] m.
How do we calculate the shortest wavelength in the paschen series?Emission lines for hydrogen occur when electrons drop from some energy level to a lower energy level. To calculate the shortest wavelength in the paschen series we are using the formula,
[tex]\frac{1}{\lambda} =R_{H} (\frac{1}{n_{f}^{2} }-\frac{1}{n^{2} } )[/tex]
Here, we are given,
[tex]R_{H}[/tex]= Rydberg constant=[tex]1.09737 \times 10^{7} m^{-1}[/tex]
[tex]n_f[/tex]= The lower energy level quantum number.=3 (for the paschen series).
n= The quantum number of whichever state the transitions occur from = (for this case of the paschen series).
We have to find the wavelength associated with the photon emitted = [tex]\lambda[/tex] m.
Now we substitute the known values in the above equation, we can find that,
[tex]\frac{1}{\lambda} =1.09737 \times 10^{7} (\frac{1}{3^2 }-\frac{1}{\infty^{2} } )[/tex]
Or,[tex]\frac{1}{\lambda} =1.09737 \times 10^{7}\times \frac{1}{9 }[/tex]
Or,[tex]\frac{1}{\lambda} =1,219,300[/tex]
Or,[tex]\lambda= 8.2\times 10^{-7}[/tex] m
From the above calculation we can conclude that the shortest wavelength in the paschen series is [tex]8.2\times 10^{-7}[/tex] m
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John and henry are both workers at a retail store. their direct supervisor has told them to maintain quick service above all else. later, their customer relations director tells them that they should always work to maintain excellent customer service above all else. both john and henry are confused as to what their priorities should be. this is an example of a conflict based on ______. a. personality differences b. power struggle c. poor communication d. jealousy please select the best answer from the choices provided a b c d
Poor communication
This is an example of a conflict based on poor communication. Because of the reason is that in customer service a person should have skills to communicate in a good manner. It is important because if the person has this skill that he can communicate with others best.
Then he can impress the customer and realize customer about the qualities of their product. In every kind of business, communication skills play major role. Therefore, both john and Henry are confused as their priorities should be on focus to improve their communication skills.
What is poor communication ?When there is a disconnect between what is said and what is heard, poor communication frequently results. In other words, the individual to whom the communication is being directed misinterprets what you are trying to convey. There is no longer mutual understanding.
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Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a ______ costing system
Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a standard costing system.
A standard cost is a fixed price per unit of direct materials, fixed price per direct labour hour, and fixed price per hour of overhead that is based on predicted quantities of direct materials and projected direct labour time.
Top management may find a standard cost system useful for planning and decision-making. easier and more reasonable inventory measurements. Compared to an actual cost system, a standard cost system makes inventory valuation simpler. Unit costs for batches of identical products may differ significantly under an actual cost system.
Therefore,Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a standard costing system.
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__ modified the concept by adding an internal combustion engine and marketing hybrids that were part electric and part gas powered
Hybrid
Hybrid modified the concept by adding an internal combustion engine and marketing hybrids that were part electric and part gas powered.
The driving wheels of hybrid vehicles receive power from their drivetrains. A hybrid car has numerous sources of propulsion.There are numerous hybrid configurations. A hybrid vehicle might, for instance, get its energy from burning gasoline while alternating between an electric motor and a combustion engine.Although they have primarily been employed for rail locomotives, electrical vehicles have a long history of integrating internal combustion and electrical transmission, like in a diesel-electric power-train. Because the electric drive transmission directly substitutes the mechanical gearbox rather than serving as an additional source of motive power, a diesel-electric powertrain does not meet the definition of a hybrid.Only the electric/ICE hybrid car type was readily accessible on the market as of 2017. One type used parallel operation to power both motors at the same time. Another ran in series, using one source to supply power solely and the other to supply electricity. Either source may act as the main driving force, with the other source serving to strengthen the main.To learn more about hybrid vehicles visit:
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When adp and pi are added to the external medium and the vesicles are exposed to light, what will happen?
adp and pi are added to the external medium and the vesicles are exposed to light, The DNP will collapse the H+ gradient that ATP synthase uses to generate ATP.
ATP synthase is the enzyme that makes ATP molecules. It is a multi-part complex that straddles the inner membrane of mitochondria, the energy factories in cells. The enzyme complex interacts with fatty molecules in the mitochondrial inner membrane, creating a curvature that is required to produce ATP more efficiently.
ATP can be hydrolyzed to ADP and Pi by the addition of water, releasing energy. ADP can be "recharged" to form ATP by the addition of energy, combining with Pi in a process that releases a molecule of water.
The DNP will collapse the H+ gradient that ATP synthase uses to generate ATP. Each of the three respiratory enzyme complexes includes metal atoms that are tightly bound to the proteins.
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What is the free energy of activation of a one-step reaction? how is it qualitatively related to the rate constant of the reaction?
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A ventilation fan with a moment of inertia of 0.034 kg×m2 has a net torque of 0.11 n×m applied to it. if it starts from rest, what kinetic energy will it have 8.0 s later?
kinetic energy 8.0 s later will be 11.35 joules
Given:
inertia,I=0.034kgm²
torque,τ=0.11nm
time,t=8.0s
To find:
kinetic energy,KE
we can find the kinetic energy by using
[tex]k = \frac{1}{2} iω {}^{2} [/tex]
so firstly we will find ω by finding α
α=τ/I
α=0.11/0.34
=3.23
then we find ω
ω=α×t
=3.23×8
=25.84
[tex]k = \frac{1}{2}iω {}^{2} [/tex]
k=1/2×0.34×(25.84)2
=1/2×22.70
k=11.35
so kinetic energy is 11.35 joules
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In the model from the lesson, what did the moped riders represent?
A. Angry customers
B. Battery
C. Resistance
D. Flow of charge
Moped riding represent angry customers in the model from the lesson.
What is moped riding?Moped riding refers to the riding of a special type of small motorcycle, generally having a less stringent licensing requirement than full motorcycles or automobiles.
Generally, the word "moped riding" describes any two-wheeledth with a step-through chassis and footrest platform. These two-wheeled vehicle are usually equipped with bicycle-like pedals that the rider uses to propel the vehicles.
Although motorcycles are usually very harder to learn to ride
The following are other types of riders:
Climber.Puncheur.Breakaway specialist, or baroudeur.Time trialist.Rouleur.Sprinter.Domestique.All-rounder.So therefore, moped riding represent angry customers in the model from the lesson.
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Which wavelength of light is the best choice when attempting to quantitatively relate solution absorbance and concentration?.
The optimum wavelength is 450 nm because that is the wavelength of maximum absorbance by FeSCN2+(aq)
you should choose a wavelength with maximum absorbance. In this case, you are using the scattered light, not the absorbed light as your signal. So you should avoid wavelengths where there are absorption peaks.
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 typically defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm).
The distance between two waves' crests serves as an illustration of wavelength. When you and another person have the same overall mindset and can easily communicate, that is an example of being on the same wavelength.Learn more about Wavelength here:
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The electric potential at a certain point is given by v = –7. 5x2 3x, where v is in volts and x is in meters. what is the electric field at that point?
The electric potential at certain point is given by,v=-7.5x²-3x ,where v is in volts and x is in meters. then the electric field at that point is -(15x+3).
Given,
The electric potential at certain point is given by,
v=-7.5x²-3x .
where v is in volts and x is in meters.
We know,
electric potential (v) =electric field ×radius
Electric potential is defined as the amount of work needed to move a charge from reference point to the specific point against an electric field.
Also, electric field (E) =dv/dx
Electric field at a point is the force experienced by the unit positive charge placed at that point.
E=d(-7.5x²-3x)/dx=-15x-3
Thus ,the electric field at that point is given by -(15x+3 ).
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Disclaimer:the data in the question is incorrect .here is the complete question .
Question: the electric potential at a certain point is given by v=-(7.5x²+3x).where v is in volts and x is in meters.what is the electric field at that point?
