Answer:
Because they are small and they shrink when they have microwaves hit towards them
Explanation:
The angle is preferred to be small in high resolution optical instruments to make it more noticeable.
Explanation:
The capability of any device that form image can be an optical or radio telescope, camera, microscope or eye that can distinguish small details in the object is called angular resolution.
This is the main component for image resolution. The accuracy in the measurement with accordance of space is spatial resolution. It is associated with the angular resolution.
The ability of viewing an object in a distinct manner requires smaller angular distance and this is known as resolving power. When we need to view an object in an accurate and in a distinct manner, it is required to be in smaller angle between the viewing objects.
When unequal resistors are connected in series across an ideal battery,the same power is dissipated in each one.the potential difference across each is the same.the current flowing in each is the same.the equivalent resistance of the circuit is less than that of the smallest resistor.the equivalent resistance of the circuit is equal to the average of all the resistances.
Answer:
the current flowing in each is the same.
Explanation:
When resistors are connected in series, they are connected in the same branch of the circuit - this means that the same current flows through each resistor.
The other options listed are wrong because:
the same power is dissipated in each one --> false: the power dissipated in each resistor is [tex]P=I^2 R[/tex], where I is the current and R the resistance, so it depends on the value of the resistance
the potential difference across each is the same.-- > false: this is true in parallel circuits, not series circuits
the equivalent resistance of the circuit is less than that of the smallest resistor.--> false: the equivalent resistance of a series circuit is the sum of the individual resistances: [tex]R = R_1 + R_2 + ...[/tex], so it is larger than the resistance of the smallest resistance
the equivalent resistance of the circuit is equal to the average of all the resistances. --> false: the equivalent resistance of a series circuit is the sum of the individual resistances: [tex]R = R_1 + R_2 + ...[/tex], not the average
A cart is attached to a string and the other end of the string is attached to a weight that is free to fall. The cart is initially released from rest, and travels a distance of 0.521 m m before hitting a stopper. The cart's final speed was 0.931 m/s . The inertia of the weight is 0.115 kg , while the inertia of the cart is 1.000 kg . For the next 4 parts consider a system of the earth, the weight, the cart, the string, and the track. Assume the track does not move relative to the earth.1- What is the final speed of the weight?2- What is the change in kinetic energy of the system?3- What is the change in potential energy of the system?4- What is the change in thermal energy of the system due to friction?
1. 3.20 m/s
Assuming the string is inextensible, the cart and the weight travels the same distance: so, since the cart travels for 0.521 m, the distance travelled by the weigth is the same:
d = 0.521 m
The motion of the weigth is a free-fall motion with acceleration g = 9.8 m/s^2, so its final speed can be found by using the equation
[tex]v^2 = u^2 + 2gd[/tex]
where
u = 0
is the initial speed of the weigth (at rest). Substituting into the formula, we find
[tex]v=\sqrt{0+2(9.8 m/s^2)(0.521 m)}=3.20 m/s[/tex]
2. 1.022 J
The change in kinetic energy of the system is equal to the sum of the kinetic energies acquired by the cart and the weight. They both started from rest, so their initial kinetic energies were zero.
The cart has
mass: m = 1.000 kg
final speed: v = 0.931 m/s
so its gained kinetic energy is
[tex]K_c = \frac{1}{2}mv^2=\frac{1}{2}(1.000 kg)(0.931 m/s)^2=0.433 J[/tex]
The weight has
mass: m = 0.115 kg
final speed: v = 3.20 m/s
so its gained kinetic energy is
[tex]K_w = \frac{1}{2}mv^2=\frac{1}{2}(0.115 kg)(3.20 m/s)^2=0.589 J[/tex]
So the change in kinetic energy of the system is
[tex]\Delta K= K_f - K_i = (0.433 J+0.589 J)-0=1.022 J[/tex]
3. -5.693 J
The potential energy of the falling cart decreases by the following amount:
[tex]\Delta U = mg \Delta h[/tex]
where
m = 1.000 kg is the mass
g = 9.8 m/s^2
[tex]\Delta h = -0.521 m[/tex] is the change in height of the cart
Substituting, we find
[tex]\Delta U=(1.000 kg)(9.8 m/s^2)(-0.521 m)=-5.106 J[/tex]
the potential energy of the falling weight decreases by the following amount:
[tex]\Delta U = mg \Delta h[/tex]
where
m = 0.115 kg is the mass
g = 9.8 m/s^2
[tex]\Delta h = -0.521 m[/tex] is the change in height of the weight (calculated at point a)
Substituting, we find
[tex]\Delta U=(0.115 kg)(9.8 m/s^2)(-0.521 m)=-0.587 J[/tex]
So, the change in potential energy is
[tex]\Delta U = -5.106 J-0.587 J=-5.693 J[/tex]
4. +4.671 J
The change in thermal energy of the system due to friction is equal to the loss in mechanical energy of the system.
The system has gained a kinetic energy equal to
[tex]\Delta K=+1.022 J[/tex]
while it has lost a potential energy equal to
[tex]\Delta U =-5.693 J[/tex]
So the loss in mechanical energy of the system is
[tex]\Delta E=\Delta K+\Delta U=+1.022 J-5.693 J=-4.671 J[/tex]
So the change in termal energy is
[tex]\Delta E_{th} = -(\Delta E)=-(-4.671 J)=+4.671 J[/tex]
light entering a small hole in a door would be an example of
a. reflection
b. refraction
c. diffraction
d. interference
Answer:
Light entering through a small hole in a door is an example if Diffraction.
Explanation:
Slight bending of light passing through an edge or opening of an object is called as diffraction of light. The rate of bending of light depends on the size of slit or opening in the object and relative size of light’s wavelength.
If the slit or the opening is much larger than the wavelength of the light, the bending of the light will be almost smaller and becomes unnoticeable. If both the slit and the opening are equal in size, the light bends to an considerable amount.There are two types of diffraction namely Fraunhoffer diffraction and Fresnel diffraction.
Which of the following is true for both outer gas planets and inner terrestrial planets?
Their orbits are inside the asteroid belt.
They have rings.
They have a round shape.
They have a core of ice.
Answer:
They have a round shape
Explanation:
The gas giants which are the outer planets, and the terrestrial planets which are the inner ones have lot of differences between them. They have different sizes, different composition, different atmospheres, temperatures etc. But they also have something in common, which is pretty much the most obvious thing, they all have round shape. All of the planets have round shape, or rather they are slightly elliptical as they are more elongated around their equators, and slightly more flattened around their poles. This kind of shape has occurred because of these planets spin around their own axis, and around the Sun, thus the surface has become much smoother over time because of the friction.
Answer: they have a round shape
Explanation:
A bicycle rider increases his speed from 5 m/s to 15 m/s in while accelerating at 2.5 m/s2. How long does this take ?
Answer:
4 seconds
Explanation:
Average acceleration is change in velocity over change in time:
a = Δv / Δt
Δt = Δv / a
Δt = (15 m/s - 5 m/s) / 2.5 m/s²
Δt = 4 s
Answer: The time taken by the bicycle rider is 4 seconds.
Explanation:
To calculate the time taken by the rider, we use first equation of motion:
[tex]v=u+at[/tex]
where,
v = final velocity of the rider = 15 m/s
u = initial velocity of the rider = 5 m/s
a = acceleration of the car = [tex]2.5m/s^2[/tex]
t = time taken = ?
Putting values in above equation, we get:
[tex]15=5+(2.5\times t)\\\\t=\frac{15-5}{2.5}\\\\t=4s[/tex]
Hence, the time taken by the bicycle rider is 4 seconds.
When light of the correct wavelength hits a photosynthetic pigment molecule?
Answer:
im not sure what your asking
Explanation:
Planet with the most extreme temperature range
Answer:
Mercury
Explanation:
An electric field can be created by a single charge or a distribution of charges. The electric field a distance from a point charge has magnitude E = k|q'|/r^2.The electric field points away from positive charges and toward negative charges. A distribution of charges creates an electric field that can be found by taking the vector sum of the fields created by individual point charges. Note that if a charge is placed in an electric field created by q', q will not significantly affect the electric field if it is small compared to q'.Imagine an isolated positive point charge with a charge Q (many times larger than the charge on a single electron).There is a single electron at a distance from the point charge. On which of the following quantities does the force on the electron depend?Check all that apply.A the distance between the positive charge and the electronB the charge on the electronC the mass of the electronD the charge of the positive chargeE the mass of the positive chargeF the radius of the positive chargeG the radius of the electron
Answer:
A the distance between the positive charge and the electron
B the charge on the electron
D the charge of the positive charge
Explanation:
The electric field produced by the positive charge Q at the location of the electron is given by
[tex]E=k\frac{Q}{r^2}[/tex]
where
k is the Coulomb constant
Q is the charge
r is the distance between the charge Q and the electron
The force exerted on a charged particle by an electric field is given by
[tex]F=qE[/tex]
where q is the magnitude of the charged particle. So, the force exerted on the electron in this problem is
[tex]F=eE = k\frac{eQ}{r^2}[/tex]
where e is the charge of the electron. As we see from the equation, the force depends only the following quantities:
A the distance between the positive charge and the electron (r)
B the charge on the electron (e)
D the charge of the positive charge (Q)
Final answer:
The force on an electron in an electric field depends on the distance between the positive charge and the electron, the charge on the electron, and the charge of the positive charge. Factors such as the masses and radii of the charges do not directly affect the electrostatic force.
Explanation:
An electric field is created by electric charges and can exert a force on other charges within the field. The force on an electron in an electric field created by a positive point charge depends on several factors. Let's identify these dependencies.
A. The distance between the positive charge and the electron: The force is inversely proportional to the square of the distance between the charges (r2).
B. The charge on the electron: The electrostatic force exerted on the electron is proportional to the magnitude of its charge.
D. The charge of the positive charge: The magnitude of the electric field, and therefore the force on the electron, is proportional to the charge of the positive point charge (Q).
The mass of the electron (C), the mass of the positive charge (E), the radius of the positive charge (F), and the radius of the electron (G) do not affect the electrostatic force the electron experiences.
Plz Help A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.
A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.
The mass of an isotope of oxygen is 17.99161 u. It has 8 protons, 8 electrons, and 10 neutrons. What is its mass defect? Show all work.
Answer:
450 Bq, 0.15325u
Explanation:
Half life equation:
A = A₀ (½)^(t / T)
A = (7200 Bq) (½)^(22 min / 5.50 min)
A = 450 Bq
Mass defect is the difference between the sum of the proton and neutron masses and the isotope mass.
The mass of a proton is 1.007276u, and the mass of a neutron is 1.008665u.
So the mass defect is:
(8 × 1.007276u + 10 × 1.008665u) − 17.99161u
0.15325u
An arrow pointing upward is placed to the left of a thin converging lens, as shown in the diagram. To identify the location of the image, a student draws three principal from the arrow. What feature should all three principal rays have in common?
Answer:
I'm not sure if I have the right words for it, but it is most likely that all three rays will form a larger inverted image after they pass through the lens because the arrow is outside the focal point. The image will be outside of F2, like the arrow is outside of F1.
Explanation:
Due to the shape of the lens in the diagram, you can imagine 3 lines branching out from point Q. I've made a digital sketch about what will happen as they pass through. It's a little crude, but it still works. I hope this was helpful.
The three principal rays intersect at the right side of the convergent lens.
To find the answer, we need to know about the trace of the principal rays.
What are the three principal rays?The three principal rays are as follows
A ray parallel to the axis A ray passes through the pole of the convergent lensA ray passes through the focus at the left side of the lensAll the above rays are drawn from the tip of the pointed arrow.
What will be the nature of the three principal rays after passing through the convergent lens?The ray that is parallel to the axis, moves through the focus that present on the right of lens after passing through the lens.The ray that passes through the pole of the lens moves without deviation.The ray that passes through the left focus moves parallel to the axis after passing through the lens.All these three rays meet at a certain point where the image is formed.Thus, we can conclude that the three principal rays intersect at the right side of the convergent lens.
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answersWhich of the following best explains what happens when the kinetic energy of particles in a gas state decreases? (2 points) They vibrate so quickly that the particles ionize and become plasma. They vibrate so slowly that the particles are no longer held together, resulting in a plasma. They move fast enough to overcome the forces of attraction holding them together and become a liquid. They move more slowly, causing the forces of attraction holding them together to increase, resulting in a liquid.
Answer: They move more slowly, causing the forces of attraction holding them together to increase, resulting in a liquid.
Explanation:
The attraction overcomes the movement of particles, and bonds form.
what term describes atoms with different atomic masses due to varying numbers of neutrons
The term is “ISOTOPES” These describe atoms with different atomic masses.
The term which describes different atomic masses of similar atom because of varying numbers of neutrons are Isotopes.
Explanation:
The isotopes are the chemical element which has different atomic masses due to the fact that number of neutrons are not same but it has same number of proton.
When the number of neutron increases in a nucleus, with the same electronic configuration and same number of proton, element is said to have isotopes. There are may be variants of isotopes of an element. For example, hydrogen has 3 isotopes.
If the star Alpha Centauri were moved to a distance 10 times farther than it is now, its parallax angle would
Answer:
decrease by a factor 10
Explanation:
The parallax angle of a close star is given by
[tex]p=\frac{1}{d}[/tex]
where
p is the parallax angle
d is the distance of the star from Earth, in parsecs
From the formula we see that the parallax angle is inversely proportional to the distance.
In this problem, the distance of the star is increased by a factor 10:
d' = 10 d
so the new parallax angle would be
[tex]p'=\frac{1}{10 d}=\frac{1}{10}\frac{1}{d}=\frac{p}{10}[/tex]
So, the parallax angle would decrease by a factor 10.
If the star Alpha Centauri were moved to a distance 10 times farther than its current position, its parallax angle would become 10 times smaller due to the inverse relationship between parallax and distance.
Explanation:The concept in question is related to the parallax method in astronomy, a way to measure the distances to nearby stars relative to distant ones. This method works because of Earth's annual motion around the Sun, essentially creating a large baseline and a triangle. Parallax is defined as the one-half angle that a star appears to shift when observed from different sides of the Earth's orbit, and this shift decreases with distance.
If the star Alpha Centauri were moved to a distance 10 times farther than it is now, it’s parallax angle would become 10 times smaller. This is because parallax and distance have an inverse relationship: as distance increases, parallax decreases, and vice versa. This rule applies to any interstellar object observed from Earth, including Alpha Centauri. Therefore, the parallax angle of Alpha Centauri would be one tenth of what it is now if it were 10 times farther away.
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At t=0 a grinding wheel has an angular velocity of 20.0 rad/s . it has a constant angular acceleration of 35.0 rad/s2 until a circuit breaker trips at time t = 2.30 s . from then on, it turns through an angle 433 rad as it coasts to a stop at constant angular acceleration. part a through what total angle did the wheel turn between t=0 and the time it stopped?
Over the first 2.30 s, the wheel turns by angle [tex]\theta[/tex] according to
[tex]\theta=\left(20.0\dfrac{\rm rad}{\rm s}\right)t+\dfrac12\left(35.0\dfrac{\rm rad}{\mathrm s^2}\right)t^2[/tex]
so that after 2.30 s, it will have turned
[tex]\theta=138.575\,\mathrm{rad}[/tex]
Then the wheel turns a total of [tex]\theta+433\,\mathrm{rad}[/tex] over this entire interval, or [tex]572\,\mathrm{rad}[/tex].
A uniform solid cylinder with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 33.4 rpm. What is its kinetic energy?
Answer:
Is the equation for Ec=1/2 m(Dv)^2 where Dv is the difference between the angular speed & the areolar speed?
Which portion of the electromagnetic spectrum is used to identify fluorescent minerals?
a) ultraviolet light
b) X rays
c) infrared waves
d) gamma rays
Ultraviolet light, whose wavelength is approximately between 100 nm and 380 nm; is a type of electromagnetic radiation that is not visible to the human eye.
This light is used for many purposes, among which is the identification of fluerescent minerals.
In this sense, fluorescence is a property that certain materials have in which they absorb energy in the form of short wavelength not visible electromagnetic radiation (the ultraviolet, for example) and then emit some of that energy in the form of longer wavelength electromagnetic radiation (in the visible spectrum). This is also called luminiscence.
Hence, the correct option is a.
When a solid is hit hard, the force may break the solid. This is called
Toughness
Cleavage
Hardness
Answer:
Cleavage
Explanation:
Toughness is the resistance of a solid to breakage. The tougher a solid is, the less likely it would succumb to breakage of any form.
Hardness is very similar to toughness and it describes how unyielding a sold is to pressure or force of any form.
Cleavage on the other hand describes the tendency or ability of a solid to spilt or be broken along a specified plane of weakness. When such a solid is hit hard, they show some fracturing directions which represents weaknesses in their lattice structures or crystal forms. Most solids have cleavage directions in them.
A transverse wave is characterized by _____.
peaks
compressions
dips
refractions
Answer:
Peaks
Explanation:
- A transverse wave is a wave in which the oscillation occurs in a direction perpendicular to the direction of propagation of the wave
- A longitudinal wave is a wave in which the oscillation occurs in a direction parallel to the direction of propagation of the wave
In a transverse wave, the highest and the lowest points of the wave are determined by the presence of crests (peaks) and troughs. On the contrary, in a longitudinal wave, the wave consists of alternating regions of higher particle density (called compressions) and of lower particle density (called rarefactions).
Therefore, the correct answer is
peaks
Answer:
Peaks, Dips
Explanation:
I got the question right
Massive stars terminate in a brilliant explosion called a
super nova is named for such explosion
Answer:
supernova
Explanation:
gradpoint
Describe the difference between red light and blue light.
Answer:
Red light has longer wavelength, while blue light has higher frequency
Explanation:
Red light and blue light corresponds to two different portion of the visible part of the electromagnetic spectrum.
The two colors have different wavelengths - more precisely:
Blue: 450 - 500 nm
Red: 620 - 750 nm
So, we see that red light has a longer wavelength than blue light.
Moreover, the frequency of an electromagnetic wave, f, is inversely proportional to the wavelength, [tex]\lambda[/tex]:
[tex]f=\frac{c}{\lambda}[/tex]
where c is the speed of light. This means that blue light, which has a shorter wavelength, has a higher frequency than red light.
At an atmospheric pressure of 870 mm Hg with 21 percent oxygen, the partial pressure of oxygen is _____.A) 219 mm HgB) 127 mm HgC) 151 mm HgD) 182 mm HgE) 100 mm Hg
Answer:
d) 182 mm Hg
Explanation:
The ratio of partial pressure to total pressure is equal to the molar ratio.
P / 870 mm Hg = 0.21
P = 182 mm Hg
Answer is D.
Final answer:
At an atmospheric pressure of 870 mm Hg with 21 percent oxygen, the partial pressure of oxygen is D) 182mm
Explanation:
The question is asking to calculate the partial pressure of oxygen in the atmosphere when the total atmospheric pressure is 870 mm Hg, given that oxygen constitutes 21% of the atmosphere. The partial pressure of oxygen (Po₂) is found by multiplying the total pressure by the percent content of oxygen in the mixture. This can be calculated as follows:
Po₂ = (870 mm Hg) × (0.21)
Therefore, the partial pressure of oxygen is:
Po₂ = 182.7 mm Hg
Since we only have whole numbers in the options provided, we round this to the nearest whole number, which is 183 mm Hg. This is not exactly one of the options given, so it seems there might be a typo in the choices; the closest correct answer would be 182 mm Hg.
Why is the nervous system like a telegraph
Answer: The structure of axon bundle in nervous system is just like a telegraph wire.
Explanation: There is structural and functional similarity between the nervous system and telegraph. In a telegraph the wire of the cable are bundled to form a single cable just like the way a group of axons bundle themselves.
Also the axons are covered by a myelin (also known as white matter) to insulate them in a similar way as the plastic coating of an electric wire of telegraph. Both axon in the nervous system and the telegraph wire send signal across its ends.
A constant eastward horizontal force of 70. newtons is applied to a 20.-kilogram crate moving toward the east on a level floor. If the frictional force on the crate has a magnitude of 10. newtons, what is the magnitude of the crate’s acceleration?
Answer:
[tex]3 m/s^2[/tex]
Explanation:
Newton's second law states that:
[tex]\sum F = ma[/tex]
where
[tex]\sum F[/tex] is the resultant of the forces acting on an object
m is the mass of the object
a is the acceleration
In this case we have two forces:
F = +70 N (east direction) is the horizontal push
Ff = -10 N (west direction) is the frictional force
so the net force is
[tex]\sum F=70 N - 10 N = 60 N[/tex]
We also know the mass of the crate
m = 20 kg
So we can find the acceleration
[tex]a=\frac{sum F}{m}=\frac{60 N}{20 kg}=3 m/s^2[/tex]
What property of objects is best measured by their capacitance?
a) ability to conduct electric current
b) ability to distort an external electrostatic field
c) ability to store charge
Answer:
c) ability to store charge
Explanation:
The capacity of an object gives a measure of the ability of the object to store electric charge. In formula, it is defined as the ratio between the charge stored on the object and the electric potential on the object:
[tex]C=\frac{Q}{V}[/tex]
where
Q is the charge
V is the voltage
Therefore, an object with a larger capacity than another object means that if the two objects are at same voltage V, the first object can store more charge than the second object.
Capacitance measures an object's ability to store charge, and is dependent on the geometry of conductor arrangement and the dielectric properties between conductors. It is measured in farads, with one farad being equivalent to one coulomb of charge per one volt.
Explanation:The property of objects that is best measured by their capacitance is their ability to store charge. A capacitor, which is an arrangement of objects that can store electrical energy due to their geometry, has a capacitance that is directly proportional to the electric potential energy it can store per unit electric potential. The capacitance of a system depends only on the geometry of the conductor arrangement and the physical properties of the dielectric between the conductors.
It is important to note that capacitance is not related to a material's ability to conduct electric current nor is it primarily about distorting an external electrostatic field. Instead, it defines how much charge can be separated for a given electric potential, that is, how much electric energy is stored or held in potential. The SI unit of capacitance is the farad (F), where 1 farad equals 1 coulomb (C) per 1 volt (V).
Which of the following accurately describes semiconductor diodes?
A. Unlike point-contact diodes, junction diodes use a point of metal wire in contact with a single wafer of P-type or N-type material.
B. Junction diodes are preferred over point-contact diodes for most purposes.
C. Point-contact diodes are more likely to be used as rectifiers than junction diodes.
D. Unlike junction diodes, point-contact diodes are enclosed in a suitable casing and have terminals for connecting them to a circuit.
C is the answer if not I’m sorry but I came to the conclusion of C being the answer
Answer:
The answer is A. Because it describes better a semiconductor diode
Explanation:
A semiconductor diode is formed of a junction of P dopped material (excess of electrons), with a N dopped material (absence of electrons). Under the correct polarization, the electron flows from one side to another, other way electrons wont flow.
Pls help on this one
Answer:
D
Explanation:
because 50.0/10.0 = 5.0
Answer:
D
Explanation:
because 50.0/10.0 = 5.0
How many neutrons are needed to initiate the fission reaction shown?
Answer: One neutron
Explanation:
one neutron 1/0n
Sum up the mass numbers on the right 99 + 135 + 2 = 236.
The sum of the mass numbers on the left should equal 236. 235 + 1 = 236
Only one neutron is needed to initiate a fission reaction in Uranium-235. This initiates a chain reaction where released neutrons cause further fission. However, not all neutrons result in further fission, as some may escape or interact without causing a split.
Explanation:To initiate a fission reaction in Uranium-235, only one neutron is needed. As the process begins, the uranium-235 nucleus absorbs a neutron, making it an unstable uranium-236 nucleus. This unstable nucleus then breaks down into two smaller nuclei, releasing a large amount of energy in the process. Additionally, two or three neutrons are also released during the breakdown of the unstable uranium-236 nucleus. These extra neutrons can in turn go on to initiate fission in other uranium-235 nuclei, leading to a nuclear chain reaction. However, not every neutron produced results in further fission as some neutrons may escape the material or interact with a nucleus without causing it to split.
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Three disks are spinning independently on the same axle without friction. Their respective rotational inertias and angular speeds are I,ω (clockwise); 2I,3ω (counterclockwise); and 4I,ω/2 (clockwise). The disks then slide together and stick together, forming one piece with a single angular velocity. What will be the direction and the rate of rotation ωnet of the single piece? Express your answer in terms of one or both of the variables I and ω and appropriate constants. Use a minus sign for clockwise rotation.
Answer:
3/7 ω
Explanation:
Initial momentum = final momentum
I(-ω) + (2I)(3ω) + (4I)(-ω/2) = (I + 2I + 4I) ωnet
-Iω + 6Iω - 2Iω = 7I ωnet
3Iω = 7I ωnet
ωnet = 3/7 ω
The final angular velocity will be 3/7 ω counterclockwise.
Answer:
[tex]\omega_{net} = 3\omega/7[/tex]
Explanation:
For this problem we will use the conservation of angular momentum. This is, the momenta of each disk added together is equal to the momenta of the single piece at angular velocity [tex]\omega_{net}[/tex]. If
[tex]L_{0} = -I\omega-4I\frac{\omega}{2}+2I(3\omega) \\L_{0} = -I\omega-2I\omega+6I\omega \\L_{0} = 3I\omega\\[/tex],
and because all disks are spinning on the same axle, the total inertia moment of the single piece at angular velocity [tex]\omega_{net}[/tex] is the sum of the inertia moment of the three disks. This way, we have that
[tex]L_{f} = (I+2I+4I)\omega_{net}\\\\L_{f}=7I\omega_{net}\\[/tex].
The conservation of angular momentum leads us to
[tex]L_{0}=L_{f}\\[/tex],
[tex]3I\omega = 7I\omega_{net}\\[/tex],
thus
[tex]\omega_{net} = \frac{3}{7}\omega[/tex].
A 30-gram bullet is fired and a 50-gram bullet is dropped simultaneously from the same height. Which will hit the ground first?
The 30-gram bullet fired and 50-gram bullet dropped from the same height, ignoring air resistance, will hit the ground at the same time. The reason is that the acceleration due to gravity is a constant and act only vertically downward. If air resistance were present, the fired bullet would hit the ground first due to deceleration caused by air resistive force.
Explanation:The subject of this question is Physics, and it deals with the concept of free fall and projectile motion. Free fall is a type of motion in which an object falls downward due to gravitational force only, with no other forces having an impact. Projectile motion is the motion of an object that is launched into the air and subject to gravity and air resistance.
In this case, we are asked which of the two objects, a bullet fired horizontally and another dropped directly downward from the same height, will hit the ground first, ignoring air resistance. The surprising answer is that they hit the ground at the same time. While the fired bullet travels a further horizontal distance, the vertical component of its motion behaves just like that of the dropped bullet. Therefore, both bullets hit the ground simultaneously.
However, if air resistance is taken into account, the bullet will decelerate quicker due to its higher speed resulting in a greater air resistive force. This would cause the fired bullet to hit the ground first. This is derived from the fundamental laws of Physics that describe the effect of gravity on an object's motion. The acceleration due to gravity is a constant and acts only vertically downward, therefore, it affects both scenarios the same, making both bullets hit the ground at the same time in vacuum.
Learn more about Effect of Gravity and Air Resistance on Motion here:https://brainly.com/question/15710362
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The drag force pushes opposite your motion as you ride a bicycle. If you double your speed, what happens to the magnitude of the drag force? The drag force goes up by a factor of 4 The drag force stays the same. The drag force decreases. The drag force doubles as well
Explanation:
The Drag Force equation is:
[tex]F_{D}=\frac{1}{2}C_{D}\rho A_{D}V^{2}[/tex] (1)
Where:
[tex]F_{D}[/tex] is the Drag Force
[tex]C_{D}[/tex] is the Drag coefficient, which depends on the material
[tex]\rho[/tex] is the density of the fluid where the bicycle is moving (air in this case)
[tex]A_{D}[/tex] is the transversal area of the body or object
[tex]V[/tex] the bicycle's velocity
Now, if we assume [tex]C_{D}[/tex], [tex]\rho[/tex] and [tex]A_{D}[/tex] do not channge, we can rewrite (1) as:
[tex]F_{D}=C.V^{2}[/tex] (2)
Where [tex]C[/tex] groups all these coefficients.
So, if we have a new velocity [tex]V_{n}[/tex] , which is the double of the former velocity:
[tex]V_{n}=2V[/tex] (3)
Equation (2) is written as:
[tex]F_{D}=C.V_{n}^{2}=C.(2V)^{2}[/tex]
[tex]F_{D}=4CV^{2}[/tex] (4)
Comparing (2) and (4) we can conclude the Drag force is four times greater when the speed is doubled.