Between the barrier and the screen in each trial, the material and consequently the index of refraction are 487.8 nm.
Light waves alter in speed when two materials with different densities, like air and glass, come into contact. The resulting change in direction is referred to as refraction.
With D=2.05, d=5,
m=1,Y1=20cm
In our case, d sin = m.
λ=dYn/mD=
5*10⁻⁶*20*10⁻²/1*2.05
λ=487.8 nm
Refraction in physics is the change in direction that results from a wave's change in speed when it travels through one medium and enters another. For instance, waves move faster in deep water than they do in shallow water.
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how much larger is the skater's moment of inertia with their arms extended as opposed to their arms at their side? express your answer as a ratio
The ratio of the skater's moment of inertia when they have their arms extended to when their arms are not is r²/(r+r₁)².
The moment of inertia of any particular object can be defined as the opposition displayed by the object in question whenever its speed of rotation is changed when any external(turning) force is applied.
Let us assume that the moment of inertia of the skater when they don't extend their arms be = mr² (i)
Here, r is the radius of their body with their arms squeezed in.
The moment of inertia when the skater will extend their arms outwards is going to be = m(r+r₁)² (ii)
Here, r₁ is the radius of the hands when they are extended.
Comparing and equating (i) and (ii), we get -
Ratio = r²/(r+r₁)² (m is common for both so it gets canceled)
Henceforth, here is the ratio for when the skater has their arms extended to when their arms are not.
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A 50-gram block of copper is placed so it touches a 5-gram block of copper. The small block has been heated to 84 C and the large block has been cooled to 0 C. What will happen when these blocks are placed so that they touch each other?
When the two blocks touch each other, both blocks will have the same temperature and it will be closer to 0 degrees Celsius than 84 degrees Celsius.
option A is the correct answer.
What is the final temperature of the blocks?
The final temperature of the blocks or the equilibrium temperature of the blocks when they touch each other is determined by applying the principle of conservation of energy as follows;
Heat lost by the smaller block = Heat gained by the bigger block
m₁c(T₁ -T) = m₂c(T - T₂)
where;
T is the equilibrium temperature of the blocksc is the specific heat capacity of the copper blocksm₁ is the mass of the smaller blockm₂ is the mass of the bigger blocksm₁(T₁ -T) = m₂(T - T₂)
5 x (84 - T) = 50(T - 0)
420 - 5T = 50T
420 = 55T
T = 420/55
T = 7.64⁰C
Thus, we can conclude that both blocks will have the same temperature which will be closer to 0 degrees Celsius than 84 degrees Celsius.
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a solenoid of length 1.50 cm and radius 0.650 cm has 49 turns. if the wire of the solenoid has 1.45 amps of current, what is the magnitude of the magnetic field inside the solenoid?
The magnetic field of the solenoid will be 30.79 T.
Magnetic field strength is a quantitative measure of the strength or weakness of a magnetic field.
It is also the force experienced by a north pole unit of one weber force at a certain point in the magnetic field. SI unit for the magnetic field is Tesla (T).Magnetic field is denoted by B and has the formula as B = μ₀I/2πrAlso it has an another formula as B = (N*r*I) /LLength of solenoid, L = 1.5 cm = 0.015 m
Radius of solenoid, r = 0.65 cm = 0.0065 m
Number of turns, N = 49 turns
Current, I = 1.45 A
Magnetic field, B, can be calculated as B = (N*r*I) /L
B = (49 * 0.0065 * 1.45)/0.015
B = 30.79 T
The magnitude of the magnetic field inside the solenoid is 30.79 T.
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microscopes use mirrors to magnify objects. please select the best answer from the choices provided t f
It is erroneous to claim that mirrors are not used by microscopes to magnify objects.
What can you say about a microscope?A microscopy is a tool that may be used to examine tiny things, including cells. By at least one lens, the microscope magnifies the picture of an item. This lens twists light in a way that causes it to look as though an item is larger than the amount is.
What kind of microscope is used most frequently?The microscopy, which is the most popular and the first to be created, employs lenses to diffract visible light that has gone through a thinly sheared material to create a viewable picture.
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if they broadcast 4.0 cm microwaves, what minimum receiving dish diameter is needed to resolve (by rayleigh's criterion) the two transmissions?
Diameter will be 1.8914m
What is rayleigh's criterion equation ?The Rayleigh criteria, which is given by the equation θ = 1.22 λ/D, yields the best resolution or shortest angle between point sources. Once this angle has been determined, it is possible to determine the distance between stars since we already know how far away they are.
In our case,
λ = 4.0 cm.
sin(θ) ≈ tan(θ) ≈ θ = y/D = 31/1200 ≈ 0.0258
According to Rayleigh's criterion,
R = 1.22 λ/D = 1.22 * 4.0 * 10-2 / D = 0.0258
∴ D = 1.22 * 4.0* 10-2 / 0.0258 m ≈ 1.8914m.
D = 1.8914m
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an astronomer has calculated the radius of a black hole to be 51.0 au by observing its period of variability in brightness. what period, in hours, did she observe?
The astronomer will take 0.086 hours to observe the radius of the black hole.
What is black hole?
In a black hole, the gravity is so intense that not even light can escape. The radius of black hole depends on the mass of the black hole.
The astronomer has determined a black hole's radius to be 51.0 au by examining its period of brightness variability.
The term "astronomical unit" (abbreviated "au") refers to a unit of length used to calculate the separation between the Earth and the sun.
1 au = 93 million miles.
Additionally, the radius is determined by the brightness variation, which takes the speed of light into account.
Light speed = 3 * [tex]10^8[/tex]m/s.
So,
time = distance / speed time
= 93 * [tex]10^9[/tex] / 3 * [tex]10^8[/tex] time = 310 seconds.
1 second = 0.0002 hours.
310 seconds = 0.086 hours.
The astronomer will take 0.086 hours to observe the radius of the black hole.
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what minimum amount of force (famin) must i apply through the rope to keep the box from sliding down the hill?
The minimum amount of force (famin) required to keep the box from sliding down the hill depends on several factors, such as the angle of the hill, the size and weight of the box, and the type of surface the box is sitting on.
What is force?
A force is indeed an influence that really can alter an object's motion according to physics. A force may cause an object to mass to accelerate when it changes its velocity, such as when it moves away from rest. An intuitive way to describe force is as a push or even a pull. A force is a vector quantity because it has both direction and magnitude. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P). The net force acting on an object seems to be equal to the speed that its momentum changes over time, according to Newton's second law in its original formulation.
Generally, the more inclined the hill, the more force you will need to apply. If the box is light and the surface is slippery, you may need to apply more force to keep it from sliding. The best way to determine the exact amount of force necessary is to experiment and adjust the amount of force as needed.
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A 1750-kg car travels at 23 m/s when it crashes into the rear end of a 1500-kg car traveling at 20 m/s in the same direction on nearly frictionless ice. The two cars become stuck together and slide on the ice. How fast do the two cars move together immediately after the collision?
*use units*
Answer:
21.6 m/s
Explanation:
To solve this problem, we can use the principle of conservation of momentum. This principle states that the total momentum of a system remains constant unless an external force acts on it. In this case, the only external force acting on the system is the collision force between the two cars, which causes the cars to stick together and move as a single unit.
The initial momentum of the first car is 1750 kg * 23 m/s = 40250 kgm/s. The initial momentum of the second car is 1500 kg * 20 m/s = 30000 kgm/s. The total initial momentum of the system is 40250 kgm/s + 30000 kgm/s = 70250 kg*m/s.
After the collision, the two cars move together as a single unit, so the total mass of the system is 1750 kg + 1500 kg = 3250 kg. Since the total momentum of the system remains constant, the final velocity of the combined cars must be 70250 kg*m/s / 3250 kg = 21.6 m/s.
In summary, the two cars move together at a velocity of 21.6 m/s immediately after the collision.
A 30-cm-diameter, 1.4 kg solid turntable rotates on a 1.4-cm-diameter, 450 g shaft at a constant 33 rpm. When you hit the stop switch, a brake pad presses against the shaft and brings the turntable to a halt in 12 seconds. Part A How much friction force does the brake pad apply to the shaft?
The friction force the brake pad applies to the shaft f = 0.34 N.
Solution:
∝ = Rf sin∅
(-3.05 x 10⁻³) = (9 x 10⁻³) f sin(-90°)
f = 0.34N
As the two surfaces slide over each other small ridges are pressed against each other. Friction creates a force on a surface that opposes its motion. Friction can be reduced by applying lubricant. Friction is a type of contact force. It exists between tangent faces.
Friction is the force the resistance to movement when one object rubs against another. Friction occurs when two objects rub against each other. Friction works against the motion and works in the opposite direction. The amount of friction depends on the materials that make up the two surfaces.
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you are helping a friend study the eight planets in order from the sun outward. they also need to know if they are terrestrial or jovian. how can you help them memorize these specifics?
The Jovian planets lack solid surfaces, in contrast to the terrestrial planets Mercury, Venus, Earth, and Mars that make up our inner solar system.
How are the eight planets positioned in relation to one another and the Sun?Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune are listed in order of their angular separation from the sun. Previously thought to be the furthest planet, Pluto is now categorized as a dwarf planet.
What traits distinguish Jovian planets?The Jovian planets lack solid surfaces, in contrast to the terrestrial planets Mercury, Venus, Earth, and Mars that make up our inner solar system. As opposed to that, their atmospheres contain minute amounts of methane, ammonia, water, and other gases, and they are largely made of hydrogen and helium.
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an object that is 4.00 cm tall is placed 18.0 cm in front of a concave mirror having a focal length of 20.0 cm. what is the location of its image in relation to the mirror and what are its characteristics?
The location of its image in rel-ation to the mirror is -2.5 m
Given that, an object placed 45.0 cm from a concave mirror having the focal length of 15.0 cm and height of image is 5.0 cm.
We have to find the image distance (v) from the mirror and height of the image (h).
From above data we have, focal length (f) of concave mirror is -15 cm, object distance (u) is -45 cm and height of image (h) is 5 cm.
Now, Using Mirror Formula
1/f = 1/v + 1/u
Where f is focal length, v is image distance from the mirror and u is object distance from the mirror (concave).
The known values in the above formula to find the value of 'v' i.e. image distance from the mirror.
1/(-15) = 1/v + 1/(-45)
-1/15 = 1/v1 - /45
-1/15 + 1/45 = 1/v
(-3+1)/45 = 1/v
-2/45 = 1/v
-45/2 = v
-22.5 = v
Therefore, the image distance from the concave mirror is -22.5 cm.
Now,
m = -v/u = h/h•
Replace the values,
-(-22.5)/(-45) = h/5
-0.5 = h/5
-2.5 = h
Hence, the location of its image in rel-ation to the mirror is -2.5 m
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at rest, a car's horn sounds the note a (440 hz). the horn is sounded while the car is moving down the street. a bicyclist moving in the same direction with one-fifth the car's speed hears a frequency of 422 hz. (a) is the cyclist ahead of or behind the car?
The cyclist is behind the car. The conclusion is from the analysis using the Doppler's effect equation.
What is the Doppler's effect?The Doppler's effect is a phenomenon when the source of a wave and an observer move relative to each other, the frequency heard is not the same with the actual frequency.
The equation of the Doppler's effect is
f₀ = [(v ± v₀)/(v ± vs)] × fs
Where
f₀ = observer frequency of soundv = speed of sound waves (340 m/s)v₀ = observer velocityvs = source velocityfs = actual frequency of sound wavesNote:
v₀ (+) if the observer moves closer to the sound source.vs (+) if the sound source moves away from the observer.We have an actual frequency of 440 Hz from a car's horn. The frequency heard by an observer, i.e. a cyclist, is 422 Hz. The speed of the cyclist is 1/5 the car's speed in the same direction. Determine if the cyclist is ahead of or behind the car!
To answer the question, we should know how the car and the cyclist move relative to each other.
Let's say:
5a = the car's speed (vs)a = the cyclist speed (v₀)Use the equation of the Doppler's effect!
f₀ = [(v ± v₀)/(v ± vs)] × fs
422 = [(v ± a)/(v ± 5a)] × fs
422/440 = (v ± a)/(v ± 5a)
We get:
(v ± a) < (v ± 5a)
In the same direction, one should move closer and another should move away. The arithmetic operation of v₀ and vs would be the same.
If they are positive → (v + a) < (v + 5a)If they are negative → (v - a) > (v - 5a)The equation would be
422/440 = (v + a)/(v + 5a)
The car is moving away from the cyclist and the cyclist is moving closer to the car. Look at the illustration in the attachment!
Hence, the cyclist hearing the frequency of 422 Hz from car's horn is behind the car.
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orange light with wavelength 600nm in vacuum is incident on a material with index of refraction 50. calculate the velocity and frequency of the light in the material.
The speed of light in vacuum is(3*10^8 m/s).
What is speed?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or even the size of the change in that object's position per unit of time, making it a scalar quantity. The initial speed is the upper limit of a average speed as that of the duration of a time interval gets closer to zero. The average speed of the object in a period of time is indeed the distance travelled by object divided by duration of the interval. Velocity and speed are not the same thing. The dimensions of speed are time divided by distance.
The velocity of the light in the material is 0.2c, where c is the speed of light in vacuum (3*10^8 m/s).
The frequency of the light in the material is equal to the frequency of the light in vacuum divided by the index of refraction, which is equal to (3*10^8 m/s) / 50 = 6*10^6 m/s.
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which type of which type of orbit is shown in the picture below?
I don't see a picture attached to your question. Without one, I don't think I will be able to determine what type of orbit is displayed.
how much work does a supermarket checkout attendant do on a can of soup he pushes 0.450 m horizontally with a force of 5.10 n? express your answer in joules and kilocalories.
The work done in by the attendant on a can of soup is 2.3 J.
What is Work in physics?
Work in physics is defined as the dot product of force and the displacement produced by it.
Given is an attendant who pushed 0.450 m horizontally with a force of 5.10 N.
From the definition of work done, we can write -
W = F.d
W = Fd cosФ
Then angle between force and displacement is 0°. Therefore, cosФ is equal to 1.
Work = Fd
Work = 5.10 x 0.450
Work = 2.295 joules = 2.3 J
Therefore, the work done in by the attendant on a can of soup is 2.3 joules.
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what do asteroids and comets have in common? question 7 options: they have similar densities. most are unchanged since their formation in the solar nebula. they have nothing in common with each other. they have a similar range of orbital inclinations. they have similar orbital radii.
Most are unchanged since their formation in the solar nebula are common in asteroids and comets.
The asteroid belt, a region of the solar system between Mars and Jupiter, is where asteroids are most frequently found. The first asteroids were not found until the beginning of the nineteenth century; they are too small to be seen without a telescope.
A number (corresponding to the order of discovery) and occasionally a name are assigned to asteroids. At first, goddesses from Greek and Roman mythology were used to name asteroids. Astronomers turned to the names of colleagues (and other notable people) they wished to honor after exhausting these and other female names (including, later, those of spouses, friends, flowers, cities, and others). For instance, Morrison, Fraknoi, and Sidneywolff are the names of asteroids 2410, 4859, and 68448 respectively.
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a sailor strikes the side of his ship just below the surface of the sea. he hears the echo of the wave reflected from the ocean floor directly below 2.8 s later. how deep is the ocean at this point?
Answer:
Approximately [tex]2.1 \times 10^{3}\; {\rm m}[/tex] ([tex]2.1\; {\rm km}[/tex]) assuming that the speed of sound in the water is [tex]1482\; {\rm m\cdot s^{-1}}[/tex] ([tex]20\; ^{\circ}{\rm C}[/tex].)
Explanation:
Multiply speed [tex]v[/tex] by time [tex]t[/tex] to find the distance [tex]s[/tex] travelled.
The sound wave in this question has travelled a distance of at least:
[tex]\begin{aligned}s &= v\, t\\ &= (1482\; {\rm m\cdot s^{-1}})\, (2.8\; {\rm s}})\\ &\approx 4.15\times 10^{3}\; {\rm m}\end{aligned}[/tex].
Note that this distance is for a round trip- from the ship to the ocean floor and back. The depth of the ocean at this location will be one-half the distance of a round trip:
[tex]\begin{aligned} \frac{4.15\times 10^{3}\; {\rm m}}{2} \approx 2.1\times 10^{3}\; {\rm m} = 2.1\; {\rm km}\end{aligned}[/tex].
A vertical wire carries a current straight down. To the east of this wire, the magnetic field points.
A current flows down a vertical wire in a straight line. Using right hand thumb rule,the magnetic field is directed southward to the east of this wire.
Define right hand thumb rule ?
The relationship between the movements of the magnetic field surrounding a specific conductor and its current direction can be found in a straightforward manner. This method would be known as the right-hand thumb rule. According to the right-hand rule, the magnetic field lines produced by a wire carrying current may be oriented in a manner similar to that of a person's right hand's folded fingertips, with the thumb pointing in the direction of the current flow.
Such an electric current always produces a magnetic field that is perpendicular to the passage of the current. A magnetic field surrounds a wire whenever a current flows through it. A magnetic field is represented by it, and the magnetic field is shown by arrows on lines in the field.The arrows on the lines show the direction of the field lines, which are represented by the circles. Like with electric field lines, the more lines there are in an area, the stronger the magnetic field.Use the right-hand rule where necessary. lowering our thumb Our fingers reach southward whenever we fix our gaze on the eastern edge of the wire. Field lines are oriented according to the right-hand thumb rule.To learn more about magnetic field click here:
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disregarding air resistance, what is the speed of a ball dropped from 12 feet just before it hits the ground? (use 1 ft
Answer: Since the ball is free-falling, you use this equation:
v^2 = 2gh
where v is the velocity
g is the acceleration due to gravity
h is the height at which the object is dropped from
Plugging in the values and converting ft to m,
v^2 = 2 (9.8) (12) (0.3)
v = 8.4 m/s
NASA's Skylab, the largest spacecraft ever to fall back to the Earth, reentered the Earth's atmosphere on July 11,1979, and broke into a myriad of pieces. One of the largest fragments was a 1770-kg, lead-lined film vault, which landed with an estimated speed of 120 m/s.If its speed at an altitude of 146 km was 7950 m/s, how much nonconservative work was done on the film vault during reentry?
Applying the Work-Energy Theorem, the Work Done by a Non-Conservative Force is [tex]5.3 *10^{10}[/tex] J
The given Parameters are :
Initial Velocity (u) = 120 m/s
Final Velocity (v) = 7950 m/s
Mass (m) = 1770 kg
Displacement (h) = 146 km = 146000 m
According to the Work-Energy Theorem,
The Work Done is given by the difference between the final and initial Kinetic Energies,
Thus,
Work Done = Final Kinetic Energy - Initial Kinetic Energy
Now, Work done = Work done by gravity + Work Done by Non-Conservative Force
So, Work Done by gravity = mgh = 1770 *10*146000 =2482000000 J
Change in Kinetic Energy = [tex]\frac{1}{2} *m*(v^{2} -u^{2} )[/tex]
Putting the values, we get,
Change in Kinetic Energy = [tex]\frac{1}{2} *1770*(7950^{2} -120^{2} )=55921468500[/tex] J
Now, Work Done by Non Conservative Force = Change in Kinetic Energy-Work Done by gravity = 2482000000 - 55921468500 = 53439468500 = 5.3 * [tex]10^{10}[/tex] J
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Determine the energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state.
The energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state is numerically equal to energy of the electron at that orbit.
What are energy levels of electron in an atom?In chemistry and atomic physics, an electron shell—also known as a fundamental energy level—is the orbit of one or more electrons around the atomic nucleus. The shell that is closest to the nucleus is the "1 shell," often referred to as the "K shell."
The shells that are farther and farther away from the nucleus are the "2 shell," also known as the "L shell," "3 shell," also known as the "M shell," and so on. Either the main quantum numbers (n = 1, 2, 3, 4) or the X-ray notation letters are used to designate the shells (K, L, M, N...).
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what is the total electric potential energy utotutotu tot of this system of charges? express your answer in terms of qqq , ddd , and appropriate constants.
Electrostatic potential energy overall The unit of this charge system is -6.71kq2/d.
Who was the first to define energy?
The term "energy" was originally used in the field of science by Thomas Younger in 1800, but it did not catch on. Young later used interfered experiments to prove that light is a wave.
Briefing-
The expression for the electric potential energy is,
U= k*q1q2/d
The electric potential energy due to charges +2q and +5q is,
U25=k*(10q2)/d
The electric potential energy due to charges +2q and +q is,
U21=k*(2q2)/d
From the above figure, the distance between charges +2q and -3q is
√d² +√ d² = √2d²
= √2d
The electric potential energy due to charges +2q and -3q is,
U23=-k(6q2)/√2d
Thus, the total electric potential energy of the system is,
Utot=U25 +U21+U23 +Us1+U53 +U31
=k*(10q²)/d+k*(2q²)/d-k*(6q2)+k* (5q2)/√2d + k (10g2)/√2d
-k. (15q2)/d-k(3q2)/d
= [10+2-6/√2 + 5/√2 -15-3]kq2/d
=-6.707 kq2/d
=-6.71kq2/d
Utot=-6.71kq2/d =(approximately)
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The complete question is-
Four point charges form a square with sides of length dd, as shown in the figure. In the questions that follow, use the constant k in place of 1/4πϵ0.
Part A: What is the electric potential Vtot at the center of the square? Make the usual assumption that the potential tends to zero far away from a charge. Express your answer in terms of q, d, and appropriate constants.
Part B: What is the contribution U2q to the electric potential energy of the system, due to interactions involving the charge 2q? Express your answer in terms of q, d, and appropriate constants.
Part C: What is the total electric potential energy Utot of this system of charges? Express your answer in terms of q, d, and appropriate constants.
a block of mass 0.428 kg0.428 kg is hung from a vertical spring and allowed to reach equilibrium at rest. as a result, the spring is stretched by 0.626 m.0.626 m. find the spring constant. n/mn/m the block is then pulled down an additional 0.365 m0.365 m and released from rest. assuming no damping, what is its period of oscillation? ss how high above the point of release does the block reach as it oscillates?
The maximum height above the point of release that the block reaches as it oscillates is 0.0385 m and the spring constant is 6.63 N/m.
What is single harmonic motion?Simple harmonic motion (SHM) is a type of periodic motion or oscillation motion that is a repetitive motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement from an equilibrium position
Equation:a) The force exerted by the spring (F) is given by Hooke's law as:
F = -kx
where, k is the spring constant.
At equilibrium, the weight of the block is balanced by the force of the spring, so we have:
mg = kx
where, g is the acceleration due to gravity.
Substituting the given values, we get:
k = mg/x = 0.428 kg * 9.81 m/s² / 0.626 m = 6.63 N/m
b) The period of oscillation of the block (T) is given by:
T = 2π√(m/k)
Substituting the given values, we get:
T = 2π√(0.428 kg / 6.63 N/m) = 0.668 s
c) The maximum height above the point of release (h) can be found using the conservation of energy principle. At the point of release, the block has a potential energy of mgy and no kinetic energy. At the maximum height, the block has a kinetic energy of (1/2)mv² and no potential energy. Therefore, we have:
mgy = (1/2)mv²
Solving for h, we get:
h = y - v²/2g
where, v is the velocity of the block at the point of release.
The velocity of the block can be found using the conservation of mechanical energy principle as:
(1/2)k(y + x)² = (1/2)mv²
Substituting the given values, we get:
v = √[(k/m)(y + x)²] = √[(6.63 N/m / 0.428 kg)(0.365 m + 0.626 m)²] = 0.772 m/s
Substituting v into the equation for h, we get:
h = 0.365 m - (0.772 m/s)² / (2 * 9.81 m/s²) = 0.0385 m
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If you measure and calculate the density of a cube by the method of displacement, and then later use that same cube to measure and calculate the density by the method of flotation should you expect to obtain the same density? why or why not?.
If you measure and calculate the density of a cube by the method of displacement, and then later use that same cube to measure and calculate the density by the method of flotation you should expect to obtain the same density.
All matter has mass and takes up space. Density , a calculated value, measures the amount of matter in a space. To calculate the density of a material, find the mass and the volume of the object. Calculate the density of the object using the formula density equals mass divided by volume.Once you've measured the mass and volume of an object, finding the density requires putting the measurements into the density formula.To know more about density visit:
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a fellow student makes the following comment during a study session: ""a freely falling object falls a greater distance during each second than the total distance fallen in all the previous seconds."" this statement (a) is always true. (b) is true only for sufficiently short times. (c) is true for sufficiently long times. (d) is never true.
The correct answer is b.
The given statement is true for sufficiently short distances.
At the end of t seconds, the distance travelled by a freely falling object with zero initial velocity is [tex]s=ut+1/2 gt^{2}[/tex]
where s is the displacement, t is the time, u is the initial velocity and g is the acceleration due to gravity.
Here, when the object is under free fall, its initial velocity, [tex]u=0 m/s[/tex]
Gravity continuously accelerates an object (increases its velocity) during free fall until it reaches terminal velocity. In particular, for every second that passes, gravity accelerates a falling object by 9.8 (m/s). (Acceleration is measured in meters per second squared, or m/s2, whereas velocity is measured in m/s.)
It is only sometimes true that an object falling freely needs to travel a greater distance in one second than it did in all the preceding seconds. However, if the object is falling under the influence of gravity for very short distances, the above claim can be approximately true.
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(a) does your bathroom mirror show you older or younger than your actual age? (b) compute an orderof-magnitude estimate for the age difference, based on data you specify.
Answer:
a) Bathroom mirror shows the person younger than the actual age.
b) I stand about 47 m from my bathroom mirror
Reason:
a) Light takes a finite time to travel from the object to the mirror and then to the eye. Thus the speed of light in air is approximately equal to 3×108m/s 3 × 10 8 m/s. So the light takes approximately 7 nanoseconds to reflect off the mirror and return to our eyes.
b) This means that the reflection we see in the mirror has an age difference on the order of 10−9 seconds younger than ourselves.
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a massless frame in the shape of a square with 2-m sides has a 1-kg ball at each corner. what is the moment of inertia of the four balls about an axis through the corner marked o and perpendicular to the plane of the paper?
The "sum of the product of mass" of each particle with the "square of its distance from the axis of rotation" is the formula for the moment of inertia.
The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of distance from the rotational axis. The sum of the moments of inertia about any two mutually perpendicular axes lying in the plane and passing through the given axis determines the moment of inertia (MI) of a plane area about that axis.
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after stealing your sister's easy-bake oven (which uses a 100 watt light bulb to cook cupcakes and stuff), you place a glass of water inside. ignoring the glass (and assuming all of the light is used to heat the water), how long would it take to raise the temperature of 0.6 kg of water by 60 k? express your answer in minutes.
Answer: To raise the temperature of 0.6 kg of water by 60k 4200jkg-¹c-¹
Reason:
Using the formula Pt = (4.2 × L × T ) ÷ 3600 you can calculate the time it takes to heat a specific quantity of water from one temperature to another temperature.
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you are driving down the highway when one of your tires suddenly blows out. you should choose an answer: a. pump your brakes rapidly, and steer your vehicle to control any skids.b. avoid using your brakes. slow down gradually and concentrate on steering.c. immediately apply medium pressure to the brake pedal and bring your vehicle to a stop.
What is the horizontal distance of the center of gravity of the person-ladder system from the point where the ladder touches the ground?.
A projectile's range is the horizontal distance it has traveled.
x = V * t x = V * t can be used to calculate horizontal distance.The formula y = - g * t2 / 2 describes vertical distance from the ground, where g is the acceleration of gravity and h is an elevation.
What does horizontal distance look like?An illustration of a horizontal distance is the space between a building and the observer, while an illustration of a vertical distance is the height of the building.
Are horizontal range and distance equivalent?The range is the horizontal distance from the launch position to the landing place.An angled-launch projectile's range is influenced by its launch speed and angle .
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