Answer:
0.3cm
Explanation:
Y = 0.3 sin(0.5x - 50t) compare with,
y = A sin(kx - wt)
A = 0.3m
A small uniform disk and a small uniform sphere are released simultaneously at the top of a high inclined plane, and they roll down without slipping. Which one will reach the bottom first?A) the one of smallest diameter B) the one of greatest mass C) the disk D) the sphere E) They will reach the bottom at the same time.
Answer:
(D) the sphere
Explanation:
The bodies given are Disk and Solid sphere (uniform sphere)
Moment of inertia of the bodies are
I(disk) = [tex]\frac{MR^2}{2}[/tex]
I(sphere) = [tex]\frac{2MR^2}{5}[/tex]
Since the moment of inertia of sphere is less than that of disk, therefore sphere will reach the bottom first.
The engine of a model airplane must both spin a propeller and push air backward to propel the airplane forward. Model the propeller as three 0.30-m-long thin rods of mass 0.040 kg each, with the rotation axis at one end.
What is the moment of inertia of the propeller?
How much energy is required to rotate the propeller at 5800 rpm? Ignore the energy required to push the air.
Solution :
Given :
Length of the propeller rods, L =0.30 m
Mass of each, M = 0.040 kg
Moment of inertia of one propeller rod is given by
[tex]$I=\frac{1}{3}\times M \times L^2$[/tex]
Therefore, total moment of inertia is
[tex]$I=3 \times \frac{1}{3}\times M \times L^2$[/tex]
[tex]$I=M\times L^2$[/tex]
[tex]$I=0.04\times (0.3)^2$[/tex]
[tex]$0.0036 \ kg \ m^2$[/tex]
Now energy required is given by
[tex]$E=\frac{1}{2}\times I \times \omega^2 $[/tex]
where, angular speed, ω = 5800 rpm
[tex]$\omega = 5800 \times \frac{2 \pi}{60} $[/tex]
= 607.4 rad/s
Therefore energy,
[tex]$E=\frac{1}{2}\times 0.0036 \times (607.4)^2 $[/tex]
= 664.1 J
The moment of inertia of the propeller is 0.0036 kgm² and the energy required is 663.21 J
Energy required for propeller:Given that the mass of the propellers is m = 0.040kg,
and their length is L = 0.30m
The moment of inertia of a rod with the rotation axis at one end is given by :
[tex]I = \frac{1}{3}m L^2[/tex]
so for 3 propellers:
[tex]I=3\times\frac{1}{3}\times(0.04)\times(0.3)^2[/tex]
I = 0.04 × 0.09
I = 0.0036 kgm²
Now, the frequency is given f = 5800 rpm
so anguar speed, ω = 5800×(2π/60)
ω = 607 rad/s
Energy required:
E = ¹/₂Iω²
E = 0.5 × 0.0036 × (607)² J
E = 663.21 J
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A student makes the following claim:
The energy of electromagnetic waves increases with decreasing wavelength.
Which of the following statements support this claim?
O A. Dental patients need to wear lead aprons to protect themselves from X-rays but do not wear
protection from flashlights.
B. Both radio waves and gamma rays are invisible to human eyes.
C. Ultraviolet radiation causes sunburn but radio waves do not.
D. Microwaves are used for communication.
E. Gamma rays are used to kill cancer cells, but microwaves have no known effect on cancer
cells.
Answer:
A, C, E
Explanation:
I put this and got it right.
What happens to a black body radiator as it increases in temperature?
A. it gives off a range of electromagnetic radiation of shorter wavelengths.
B. It gives off only one wavelength of electromagnetic radiation
C. It releases only ultraviolet waves of electromagnetic radiation
D. It becomes hotter but gives off less electromagnetic radiation
Answer: A
Explanation:
Answer is a hope this helps guys!
The black body radiator as it increases in temperature gives off a range of electromagnetic radiation of shorter wavelengths so, the option A is correct.
What is radiation?Radiation is the movement of atomic and subatomic particles as well as waves, such as those that define X-rays, heat rays, and light rays. Radiation of both types, from cosmic and earthly sources, is constantly being thrown at all matter.
The characteristics and behavior of radiation, as well as the matter it interacts with, are outlined in this article, which also explains how energy is transferred from radiation to its surroundings.
The effects of such an energy transfer to living matter, including the typical effects on numerous biological processes, are given a great deal of attention (e.g., photosynthesis in plants and vision in animals).
Thus, the black body radiator gives off a range of electromagnetic radiation of shorter wavelengths.
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Does stainless steel and carbon steel have the same density?
Answer:
Steel is mostly composed of iron and carbon. It contains small amounts of manganese and even smaller amounts of silicon, phosphorous, oxygen, sulfur, and other elements.
...
Density of Steel.
carbon steel - 7.86
stainless steel - 7.9
System uses 49J of energy to do work in the change of internal energy is 58 j. how much heat was added to the system?
Answer:
107
Explanation:
In a police ballistics test, 2.00-g bullet traveling at 700 m/s suddenly hits and becomes embedded in a stationary 5.00-kg wood block. Does the bullet gain or lose momentum?
Answer:
The bullet will lose momentum
Explanation:
mass of the bullet, m₁ = 2.0 g = 0.002 kg
initial velocity of the bullet, u₁ = 700 m/s
mass of the wood block, m₂ = 5 kg
initial velocity of the wood block, u₂ = 0
let the final velocity of the bullet-block system after collision = v
Apply the principle of conservation of linear momentum;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(0.002 x 700) + (5 x 0) = v(0.002 + 5)
1.4 = 5.002 v
v = 1.4 / 5.002
v = 0.28 m/s
Change in momentum of the bullet is given by;
ΔP = m₁v - m₁u₁
ΔP = m₁(v - u₁)
ΔP = 0.002( 0.28 - 700)
ΔP = -1.4 kg.m/s
Therefore, the bullet will lose momentum
PLEASE HELP ASAP!!!!! I NEED AN ANSWER WITHIN 5 MINUTES!!!!! I WILL MARK BRAINLYEST
Which type of electromagnetic wave is used for nuclear power and medical treatment?
A. UV wave
B. Radio wave
C. Visible light wave
D. Gamma ray
Answer:
D. Gamma ray
Explanation:
You are welcome
Answer:
D) Gamma ray
Explanation:
Let me know if this is helpful.
What quantity is the rate of change of velocity? Displacement Acceleration Final velocity
Answer:
Acceleration
Explanation:
The quantity of the rate of change of velocity is termed the acceleration of the body.
Acceleration is the rate of change of velocity with time;
A = [tex]\frac{v - u}{t}[/tex]
A is the acceleration
v is the final velocity
u is the initial velocity
t is the time taken
Consider a ball thrown at an angle of 200 above the horizontal and another ball thrown at 200 below the horizontal. Both balls thrown with the same initial speed of 20 m/s from the top of the Science Center. Draw the motion diagram for both cases indicating the velocity and acceleration vectors. Explain the physics of these two situations and calculate the time taken for the balls to reach the ground.
A force F is applied to a cylindrical steel cable of diameter 3.5 mm and length 10.0 m. Determine the value of F if the change in length of the cable is 7.8 mm.
Ysteel = 20 x 10^10 N/m2
Explanation:
Mathematicians seek and use patterns[8][9] to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.[10] Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.[11]
Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences.
The value of force (F) if the change in length of the cable is 7.8 mm is 1500.89 N
The value of the force can be determined by using the young modulus equation that shows the relation between the tensile of the steel cable when the force is applied.
[tex]\mathbf{\gamma = \dfrac{F/A}{\Delta L/L}}[/tex]
[tex]\mathbf{\gamma = \dfrac{F} {A }\times \dfrac{L}{\Delta L} }[/tex]
Making the force the subject of the formula and replacing the values, we have:
[tex]\mathbf{F =\dfrac{A \times \gamma \times \Delta L }{L} }[/tex]
[tex]\mathbf{F =\dfrac{ \pi \times (3.5 \times 10^{-3}) \times ( 20 \times 10^{10} \ N/m^2 ) \times (7.8 \times 10^{-3}) }{4 \times 10} }[/tex]
[tex]\mathbf{F =1500.89 \ N }[/tex]
Therefore, we can conclude that the value of force (F) if the change in length of the cable is 7.8 mm is 1500.89 N
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What is the force required to accelerate 1 kilogram of mass at 1 meter per second per second.
1 Newton
1 pound
1 kilometer
1 gram
Answer:
it's answer is 1 newton
A planetoid has a mass of 1.910e+21 kg and a radius of 7.00×105 m. Find the magnitude of the gravitational acceleration at the planetoid's surface.
The cation of sodium (Na) bonds to the anion of sulfur (S) to form an ionic compound
with the chemical formula Na S. What is the name of this compound?
The name of the ionic compound NaS is sodium sulfide.
What is ionic compound?Ionic compounds are defined as substances bound together by ionic bonding. In order to reach their closest arrangement as a noble gas, elements can either gain or lose electrons. For the completion of the octet, ions are formed (either by adding or losing electrons), which aids in their stabilisation.
Metals typically lose electrons to complete their octet in a reaction with non-metals, whereas non-metals typically acquire electrons to complete their octet. Ionic compounds are typically created when metals and non-metals react.
When sodium (Na) metal reacts with sulfur (S) non-metal, an ionic compound forms named sodium sulfide with chemical formula NaS.
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Which scientific law states the relationship between an object's mass, acceleration, and amount of force acting on it? (3 points)
1. Law of universal gravitation
2. Newton's third law of motion
3. Keplar's law of planetary motion
4. Newton's second law of motion
Answer:
4.Newton's second law of motion
A 7.14kg bag of hammers rests on a spring which is compressed 10.8cm by the weight of the bag. What is the spring constant?
Answer: 22.1
Explanation:
5. True or False: The medium moves along with a wave.
Answer:
false. the medium never moves
Explanation:
Calculate the volume of the metal required to make a hemisperical bowl with internal and external radii 8.4cm and 9.1cm respectively
Find the wavelength (in nm) of a 2.52 eV photon. a. 492.34127 nm.b. 585.88611 nm.c. 541.5754 nm.d. 418.49008 nm.
Answer:
The correct option is (a).
Explanation:
Given that,
The energy of photon, E = 2.52 eV
We need to find the wavelength of the photon in nm. The formula for the energy of a photon is given by :
[tex]E=\dfrac{hc}{\lambda}\\\\\lambda=\dfrac{hc}{E}\\\\\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{2.52\times 1.6\times 10^{-19}}\\\\=4.93\times 10^{-7}\ m\\\\=493\ nm[/tex]
The nearest option is a) i.e. 492.34127 nm.
Why do you think that the inside and outside of electric wire are make from different material?
Answer:
Explanation:
i think that the inside and outside of electric wire are make from different material because outdoor electrical wires are always exposed to the fluctuations of temperature and moisture, they are made with more durable insulation. If an indoor electrical wire is used outdoors, it is possible for sunlight to break down the protective layers. Electrical conductors are made up of metals such as, copper, aluminum, etc. These metals are used to make wires. Most wires are made out of copper because it conducts electricity with high flexibility and very little resistance. The first stage in the manufacturing process of a conductor is the wire-drawing
Many behavioral psychologists would disagree with the social cognitive theory because most believe that behavior is __________. A. affected by cognition B. not affected by cognition C. affected by conditioning D. not affected by conditioning (psychology)
Its B: not affected by cognition
The correct answer B. Not affected by cognition
Explanation:
In the Social Cognitive Theory, the most important aspects are social interaction and cognition that involves mental processes such as comprehension. Indeed, this theory proposes behaviors are the result of observing other people as part of social interaction, understanding this behavior, and then imitating it.
Despite this, many psychologists do not support this theory and the main reason is that they deny the learning of behavior is related to cognition or complex mental processes. Instead, some believe behavior is the result of certain impulses or that is regulated by conditioning such as behaving correctly to avoid negative consequences.
Answer:
B. is correct on Edge 2020
Explanation:
Peace and Love
How much work is it to lift a 20. kg sack of potatoes vertically 6.5 m?
The work function for a metal surface is 3.82 eV. What is the largest wavelength of light in nm that will produce photoelectrons from this surface?1 eV = 1.602 ? 10?19 J,
e = 1.602 ? 10?19 C,
c = 2.998 ? 108 m/s,
and
h = 6.626 ? 10?34 J
Answer:
The largest wavelength of light that will produce photoelectrons from this surface is 324.6 nm.
Explanation:
Given;
work function, Ф = 3.82 eV
The work function of the metal is minimum energy required to produce electron from the metal surface.
Ф = hf
where;
h is Planck's constant = 6.626 x 10⁻³⁴ J/s
f is the frequency of the photon
f = c / λ
[tex]\phi = \frac{hc}{\lambda}[/tex]
where;
c is speed of light = 2.998 x 10⁸ m/s
λ is the wavelength = ?
[tex]\phi = \frac{hc}{\lambda}\\\\\lambda = \frac{hc}{\phi }\\\\\lambda = \frac{(6.626*10^{-34})(2.998*10^8)}{3.82*1.602*10^{-19}}\\\\\lambda = 3.246*10^{-7} \ m\\\\\lambda = 324.6 *10^{-9} \ m\\\\\lambda = 324.6 \ nm[/tex]
Therefore, the largest wavelength of light that will produce photoelectrons from this surface is 324.6 nm.
PLEASE HELP!
Which of the following is true of a centripetal force?
a) The force is directed tangent to the circle
b) The force is directed towards the center of the circle
c) The force is directed away from the center of the circle
d) All of the above
Answer:
I'm not %100 sure but it might be d
Explanation:
n LC circuit has an oscillation frequency of 105 Hz. If C = 0.1 F , then L must be about:
Answer:
L = 22.97 H
Explanation:
Given that,
Capacitance, [tex]C=0.1\ \mu F=0.1\times 10^{-6}\ F[/tex]
Oscillation frequency, f = 0.5 Hz
The frequency of an AC circuit is given by :
[tex]f=\dfrac{1}{2\pi \sqrt{LC} }[/tex]
Where
L is impedance
[tex]f^2=\dfrac{1}{4\pi ^2LC}\\\\L=\dfrac{1}{4\pi ^2 f^2 C}\\\\\text{Putting all the values}\\\\L=\dfrac{1}{4\pi^2 \times (105)^2\times 0.1\times 10^{-6}}\\\\L=22.97\ H[/tex]
So, the impedance of LC circuit 22.97 H.
Which statement does NOT describe redesign?
A You would want to make major changes.
B Engineers retest multiple times.
C Engineers try to make items more efficient.
D It happens all the time.
A 500 W heating coil designed to operate from 110 V is made of Nichrome 0.500 mm in diametera.Assuming the resistivity of the nichrome remains constant at is 20.0 degrees C value find the length of wire used.b. Now consider the variation of resistivity with temperature. What power is delivered to the coil of part (a) when it is warmed to 1200 degrees C.?
Answer:
a) 3.162 m
b) 339.7 W
Explanation:
Assume ρ = 1.50*10^-6 Ωm, and
α = 4.000 10-4(°C)−1 for Nichrome
To solve this, we would use the formula
P = V² / R
So when we rearrange and make R subject of formula, we have
R = V² / P
Resistance of the heating coil, R
R = (110² / 500)
R = 12100 / 500
R = 24.2 ohms
Recall the formula for resistivity of a wire
R = ρ.L/A
Again, in rearranging and making L subject of formula, we have
L = R.A / ρ
To make it uniform, we convert our radius from mm to m.
Diameter, D = 0.5 mm
Radius of wire = 0.5 / 2 mm = 0.25 mm = 0.00025 m
We then use this radius to find our area
A = πr²
A = π * 0.00025²
A = 1.96*10^-7 m²
And finally, we solve for L
L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =
L = 3.162 m
(b)
Temperature coefficient of resistance.
R₁₂₀₀ = R₂₀[1 + α(1200 - 20.0) ]
R₁₂₀₀ = R₂₀[1 + α(1180) ]
R₁₂₀₀ = 24.2[ 1 + 4.*10^-4 * 1180 ]
R₁₂₀₀ = 24.2[1 + 0.472]
R₁₂₀₀ = 24.2 * 1.472
R₁₂₀₀ = 35.62 ohms
Putting this value of R in the first formula from part a, we have
P = V² / R
P = (110² / 35.62)
P = 12100/ 35.62
P = 339.70 watts
(a) Length of the wire is 3.162 m
(b) Power delivered to the coil is 339.7 W
Electrical Power:The electrical power is given by
P = V² / R
R = V² / P
Resistance of the heating coil, R
R = (110² / 500)
R = 12100 / 500
R = 24.2 Ω
Now the resistivity of a wire is given by
ρ= RA/L
here ρ = 1.50×10⁻⁶ Ωm
so after rearranging we get:
L = RA / ρ
Now, the radius of wire r = 0.5 / 2 mm = 0.25 mm = 2.5×10⁻⁴ m
So the cross sectional area can be calculated as follows
[tex]A = \pi r^2\\\\A = \pi \times (2.5\times10^{-4})^2\\\\A = 1.96\times10^{-7} m^2[/tex]
hence,
[tex]L = (24.2 \times1.96\times10^{-7} / 1.50\times10^{-6}) \\\\L = 3.162\; m[/tex]
(b)The dependency of resistance with temperature is as follows:
R = R₀[1 + αΔT]
α = [tex]4\times10^{-4}^\;oC^{-1}[/tex] for Nichrome
[tex]R' = R [1 + \alpha (1200 - 20) ]\\\\R' = R[1 + \alpha (1180) ]\\\\R' = 24.2[ 1 + 4*10^{-4} * 1180 ]\\\\R' = 24.2[1 + 0.472]\\\\R' = 24.2 * 1.472\\\\R' = 35.62 \;\Omega[/tex]
So the power generated is :
P = V² / R
P = (110² / 35.62)
P = 12100/ 35.62
P = 339.70 watts
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I need help y’all‼️ 20 point♀️
Answer:
3000g for each side]
Explanation:
Answer:
I am so comfused
Explanation:
Type it into google
If a dog runs 25m east and then turns around and runs
back 20 west, what is the total distance ran? How far is the
dog displacement from the starting line?
Answer:
The dog ran a total distance of 45m but he is only 5m away from the starting line
Explanation: When you add 25 to 20 you get 45 for the total distance and if he ran back in the same direction then you would subtract 20 from 25 and get 5m
Dillan rolls a rubber band ball off a desk. If the desk is 0.9 m tall, and the ball lands 2.5 m away, what was the horizontal velocity of the rubber band ball as it went off the table?
Answer: 6.25 m/s
explanation: remember an easir way to solve problems like this is to have a horizontal side (x) and a vertical side (y) and on each side always set up for initial speed, average speed, final speed, distance, time, and acceleration.
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