The smaller pebble leaves the slingshot with a speed of 500 m/s.The mass of the larger pebble 25 times more mass compare to that of the smaller pebble.
In Both the cases work done by the elastic band is same i.e
WLarger = WSmaller
(1/2)MLargerVLarger2 = (1/2)MSmallerVSmaller2
MLarger/MSmaller = (VSmaller/VLarger)2
MLarger/MSmaller =(500/100)2 =25
Teenagers, young adults, and others utilise various stimulant medications collectively referred to as "speed" to feel more focused and alert, and occasionally to get euphoric. Additionally, some people take various forms of speed to suppress their appetite. You lack brute force, intimidation, and might without speed. Simply for show and to assist friends who are moving large pieces of furniture, they are useless. The good news is that speed can be improved with the right physical preparation. The velocity of a body or object determines the direction of its motion. Speed is often measured as a scalar value. The most basic definition of a vector quantity is velocity. It gauges the rate at which a distance varies. It relates to the speed at which displacement is altering. Its velocity is the speed at which something is travelling in a particular direction.
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What is the primary advantage of using phase comparison in an interference microscope?.
The ability to view living cells in their normal form without first killing, fixing, and staining them is one of the primary advantages of phase contrast microscopy in an interference microscope.
It is possible to view and record the dynamics of current biological processes in great clarity and strong contrast with minuscule specimen detail. Phase contrast and differential interference contrast (DIC) microscopy are complementary methods for obtaining highly contrasted pictures of transparent biological phases that often have no impact on the amplitude of visible light waves flowing through the material.
In both situations, the contrast in the DIC pictures is heavily influenced by the orientation of the specimen, but the characteristics of the phase contrast images are unaffected by the rotation of the specimen around the microscope's optical axis.
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what is the direction of the induced current in the loop when the loop is above the solenoid, moving downward?
The direction of the induced current in the loop will be clockwise.
What is induced current?The current brought on by the electromagnetic induction phenomena is known as the induced current.Electric power generation depends heavily on electromagnetic induction. It can be used for many things. After conducting numerous tests in his London lab for more than ten years, Michael Faraday made his discovery of electromagnetic induction in 1831.The size of the induced EMF is proportional to the rate of change of the magnetic field in which the wire is situated, according to Faraday's second law of induction.[tex]e = -N*\frac{1}{dt}[/tex]ФWhere "e" denotes the intensity of the induced emf, "Ф" denotes the quantity of magnetic flux connecting the coil, and "N" is the coil's number of turns. The induced current will flow in a direction that opposes the change in the magnetic field, according to the negative sign.To learn more about induced current, refer to
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if a block of material has a mass of 16 grams and a volume of 8 cubic centimeters, what is its density?
If a block of material has a mass of 16 grams and a volume of 8 cubic centimeters, then density is 2 grams per cubic centimeter.
Density = mass / volume
Density = 16/8 = 2 grams per cubic centimeter.
The substance's mass per unit of volume is its density (also known as specific mass or volumetric mass density). The Latin letter D can also be used to represent density, however the most common symbol is (the lower case Greek letter rho). According to mathematics, density is determined by dividing mass by volume, where denotes the density, m denotes the mass, and V denotes the volume. Although it is incorrect scientifically - this amount is more precisely known as specific weight – in some circumstances (for example, in the US oil and gas business), density is roughly described as its weight per unit volume.
Density and mass concentration have the same numerical value for a pure substance. Varied materials often have different densities, therefore purity and buoyancy may both be affected by density.
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an electron traveling due north enters a region that contains a uniform magnetic field that points due east. in which direction will the electron be deflected?
An electron moving north will slow down and eventually reverse its direction if it enters an electric field that points north.
What is a uniform magnetic field?Parallel straight lines that are evenly spaced apart represent a homogenous magnetic field. The direction that a tiny magnet's north-seeking pole points indicates the flux direction. The flux lines form closed loops and are continuous.While the magnetic field around a bar magnet is not uniform, the lines of the Earth's magnetic field are uniform (parallel and equally spaced) (neither parallel nor equidistant).If the magnetic field's lines are parallel, the magnetic field's strength will be the same at every point, meaning the field's strength will remain constant. We are able to create a consistent magnetic field by creating a relatively long cylindrical coil.To learn more about uniform magnetic field refer to:
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suppose this experiment were done on the moon, where the acceleration of gravity is approximately 1/6 of that on the earth. how would this change the frequency of the oscillation?
Since frequency, in physics, is the number of waves passing a fixed location in a unit of time, it would remain constant.
How and why is frequency used?In science and engineering, frequency is a crucial characteristic for describing the temporal rate of change seen in oscillatory or periodic phenomena including mechanical motion, audio signals (sound), radio waves, or light.
Why do frequencies occur?Frequency of a wave is defined as the total number consecutive waves generated in a second. Frequency is the measurement of the number of vibrations per second. As an example, consider the following: If five full waves are created in a second, their frequency is 5 hertz (Hz), meaning 5 cycles per second.
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a galilean telescope adjusted for a relaxed eye is 36.2 cm long. if the objective lens has a focal length of 39.0 cm , what is the magnification? follow the sign conventions.
The magnification of a Galilean telescope adjusted for a relaxed eye is 36.2 cm long is 0.2838 or 28%.
To calculate the magnification of a Galilean telescope, we must first know the focal length of the objective lens. The focal length of a lens is found by dividing its distance from the object by its distance from the image. In this case, we are looking for 39 cm, so we can calculate that the focal length is 40.0 cm/39 cm = 1.03.
Now we have all of our information. Using our equation for magnification (M=f-o/f), we can find that
M=1.03-36.2/39
= 0.2838 or 28%.
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Two forces are applied to a car in an effort to accelerate it, as shown below. The first force, F1 = 310 N, is applied at an angle = 32° to the forward dashed line. The second force, F2 = 464 N, is applied at an angle = 13° to the forward dashed line.
(a) What is the resultant of these two forces?
______N at _____ ° to the _____
(b) If the car has a mass of 2850 kg, what acceleration does it have? (Disregard friction.)
_____m/s2 at ______ ° to the _____
a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line
b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²
Resolving F1 into its vertical and horizontal component,
F1y = F1 cos θ
F1y = 310 * cos 32°
F1y = 263.5 N
F1x = F1 sin θ
F1x = 310 * sin 32°
F1x = 164.3 N
Resolving F2 into its vertical and horizontal component,
F2y = F2 cos θ
F2y = 464 * cos 13°
F2y = 450.1 N
F2x = F2 sin θ
F2x = 464 * sin 13°
F2x = 106.72 N
∑ Fx = F1x - F2x
∑ Fx = 164.3 - 106.72
∑ Fx = 57.58 N
∑ Fy = F1y + F2y
∑ Fy = 263.5 + 450.1
∑ Fy = 713.6 N
R² = ( ∑ Fx )² + ( ∑ Fy )²
R² = ( 57.58 )² + ( 713.6 )²
R² = 3315.46 + 509224.96
R = 715.92 N
tan θ = ∑ Fy / ∑ Fx
tan θ = 713.6 / 57.58
tan θ = 12.39
θ = 85.6° ( With the horizontal )
With the forward dashed line,
θ = 90 - 85.6
θ = 4.4° ( To the right of the forward dashed line )
F = m a
F = Force
m = Mass
a = Acceleration
m = 2850 Kg
a = F / m
a = 715.92 / 2850
a = 0.25 m / s²
Therefore,
a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line
b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²
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please someone help me derive v²/r in Simple Harmonic Motion
Using Ohm's Law and the power formula, V² / R is derived.
What is Harmonic motion?Simple harmonic motion is a particular kind of periodic motion in which the restoring force on the moving item is directly proportionate to the size of the displacement and acts in the direction of the object's equilibrium position. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.
Power(P) = Potential difference (V) × Current (I)
So
Now by ohm's law
I =V/R
On substituting the value of current in the equation
P=VI
We get
P= V × V/R
P=V² / R
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in which zone does the sun rotate more or less as a solid body, with all latitudes taking a similar amount of time to circle the sun's axis?
The radiative zone and core of the Sun are thought by scientists to revolve more like solid bodies than liquid ones. From the convective zone outward, the Sun's outer regions rotate at various rates that change with latitude.
What is latitudes?It is calculated using 180 fictitious lines that are drawn in circles east-west of the equator. Parallels are the names for these lines.Because the Sun is made of gaseous plasma, its rotation varies with latitude. At the equator, the rate of rotation is seen to be the quickest, and it slows down as latitude rises.Since it is made of gas and plasma, the rotational velocities of the gasses and plasma vary depending on where they are on the sun. Every 25 days, the gas and plasma close to the equator of the sun rotate around its axis.Polaris will appear lower in the sky as you move further south, and the sun will set at nighttime farther and more quickly.To learn more about latitudes refer to:
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A rock is thrown vertically downward from a
building with an unknown initial (1-d) velocity.
If the rock hits the ground after 3.50 s, with a
final (1-d) velocity of -50.0 m/s, what was the
initial (1-d) velocity of the rock?
[?] m/s
Signs: Define "up" positive, "down" negative.
The initial velocity is -25m/s.
What is velocity?
Velocity, which is a vector quantity, is referred to as the "pace at which an item changes its position." Imagine someone moving quickly, constantly going back to their starting position after taking one step forward. The velocity would be zero, even though there might be a frenzy of activity as a result.
What is acceleration?
Acceleration is the rate at which the direction and speed of motion change over time. Anything is said to have been accelerated when it moves straighter and faster or slower. Motion on a circle accelerates even though the speed is constant because the direction is constantly changing.
Is up in physics positive or negative?
If you choose to make the upward direction negative and the downward direction positive (the commonly accepted convention), then g will be positive if the object is stationary or moving downwards. If an object is moving upward, g will be negative.
Therefore, the initial velocity is -25m/s.
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Insulators can by charged only by this method
a. Induction
b. Conduction
c. Friction
Insulators can by charged only by friction.
An electrical insulator is a cloth wherein electric powered modern-day does no longer drift freely. The atoms of the insulator have tightly certain electrons which can not quite simply move. Other substances—semiconductors and conductors—conduct electric modern greater effortlessly.
Insulators are used in electric system to help and separate electrical conductors with out allowing current thru themselves. An insulating material utilized in bulk to wrap electrical cables or other gadget is known as insulation. The time period insulator is likewise used greater specially to consult insulating supports used to utility poles and transmission towers.to attach electric powered strength distribution or transmission lines
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Two asteroids with masses 3. 71 x 105 kg and 1. 88 x 104 kg are separated by
a distance of 1,300 m. What is the gravitational force between the asteroids?
Newton's law of gravitation is F.
gravity
Gm m2. The gravitational constant
Gis 6. 67 x 10-11 N-m2/kg?.
The gravitational force between the asteroids with masses 3. 71 x 10^5 kg and 1. 88 x 10^4 kg are separated by a distance of 1,300 m is 27.5 * 10^-8 N
F = G m1 m2 / r²
F = Gravitational force
m1 , m2 = Masses
r = Distance between m1 and m2
m1 = 3.71 * 10^5 kg
m2 = 1.88 * 10^4 kg
r = 1300 m
G = 6.67 * 10^-11 N m² / kg²
F = 6.67 * 10^-11 * 3.71 * 10^5 * 1.88 * 10^4 / 1300²
F = 46.52 * 10^-2 / 169 * 10^4
F = 27.5 * 10^-8 N
According to Newton's law of gravitation, any matter in the universe attracts another matter with a force. This force of attraction is directly proportional to the product of their masses and inversely proportional to the square of distance between them.
Therefore, the gravitational force between the asteroids is 27.5 * 10^-8 N
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One force that acts on a surfer is friction. Another is gravity. Which of these is a non-contact force?
Answer: gravity
Explanation:
Friction requires 2 surfaces in contact with each other. Gravity is a non-contact, universal force.
(a) what are the wavelengths of the following frequencies in the am radio band (540-1600 khz)? 560 khz m 1510 khz m (b) what are the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz)?
the wavelength of the following frequencies in the am radio band (540-1600 khz) is 555.55 m,187.5 m
the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz) is 3.409 m,2.7777 m
Wave length λ = c / f
(a). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 540 * 10 ^3 Hz )
= 555.55 m
minimum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 1600 * 10 ^ 3 Hz)
= 187.5 m
(b). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 88 * 10 ^ 6Hz )
= 3.409 m
Minimum wavelength = ( 3 * 10 ^ 8 m /.s ) / ( 108 * 10 ^6 Hz )
= 2.7777 m
Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire. In wireless systems, this length is typically expressed in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation().
Frequency, or the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing frequency. The pattern of disruption brought on by energy moving through a medium is known as a sound wave.
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a parallel-plate capacitor in air has circular plates of radius 2.7 cm separated by 1.1 mm. charge is flowing onto the upper plate and off the lower plate at a rate of 7 a. find the time rate of change of the electric field between the plates.
The time rate of change of the electric field between the
is 1.43x [tex]10^{14}[/tex]N C [tex]s^{1[/tex] .
The radius is 2.7 cm = 0.027m
The distance of separation is 1.1 mm = 0.0011m
The current is 7A
Generally the electric field generated is mathematically represented as
E = [tex]\frac{q}{\pi r^{2}E_{0} }[/tex]
=
Where [tex]E_{O}[/tex] is the permittivity of free space with a value
[tex]E_{0} = 8.85\times 10^{-12} m^{-3} kg^{-1} s^{4} A^{2}[/tex]
So the time rate of change of the electric field between the plates is mathematically represented as
[tex]\frac{E}{t} = \frac{q}{t} \times \frac{1}{\pi r^{2} E_{o} }[/tex]
[tex]\frac{q}{t} = I[/tex]
[tex]\frac{E}{t} = \Ifra \times \frac{I}{\pi r^{2} E_{o} }[/tex]
substituting values
[tex]\frac{E}{t} = \Ifra \times \frac{7}{3.142 (0.027)^{2} 8.85\times 10^{-12} }[/tex]
= 1.43x [tex]10^{14}[/tex]N C [tex]s^{1[/tex]
What is charge?"Electric charge is a property of a subatomic particle that causes a force when placed in an electric and magnetic field." There are two types of electrical charges: positive and negative, which are usually carried by the charge-carrying protons and electrons. Examples of charge types are subatomic particles or particles of matter: Protons are positively charged. Electrons are negatively charged. neutrons have zero charge. Electric charge is a scalar quantity. In addition to magnitude and direction, a quantity called a vector should also obey the laws of vector addition, such as the triangular law of vector addition and the line law of vector addition; only then is the quantity said to be a vector quantity.
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given the presence of dust throughout the disk of the milky way galaxy, what is the best technique for learning about more distant regions of our galaxy's disk?
Look for radiation at long wavelengths is the best technique for learning about more distant region of our galaxy disk.
What evidence do we have that the Milky Way is a disk galaxy?There are few stars visible if we stare perpendicular to the disk. More stars can be seen when looking from Earth towards the galactic center. This suggests a disk shape. The dust in galaxies is made up of microscopic grains of carbon, silicon, iron, aluminum, and other heavier elements. The Milky Way contains a lot of carbonaceous dust, which is quite rare in other galaxies.
The stars on the disk all orbit the galactic center in roughly the same place and direction. Halo and bulge stars likewise orbit the center of the galaxy, but their orbits are randomly inclined to the galaxy's disk. The orbital velocity of stars allows us to calculate the distribution of mass in our galaxy.
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if the age of the universe were compressed to one year, with the big bang on january 1, about when did the milky way galaxy system form? in january in february in september in december
February is the month that the Milky Way galaxy system begins to develop.
What is milky way galaxy?
The Milky Way is a massive cluster of stars, gas, and dust. Because it would appear to be a whirling pinwheel from the top or bottom, this galaxy is a spiral galaxy. About 25,000 light-years from the galactic center, on one of the spiral arms, is where the Sun can be found.
What is the Big Bang hypothesis?
According to the Big Bang hypothesis, the universe originated from a single, unfathomably hot, and dense point (also known as a "singularity") more than 13 billion years ago. It didn't happen at a location that was previously there. Instead, it was the one who started space's expansion and cooling.
Therefore, February is the month to be considered as the formation of the Milky way galaxy.
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gravitational potential energy is always measured group of answer choices relative to the ground. relative to the center of the earth. relative to the center of the sun. relative to an arbitrary reference level.
The gravitational potential energy is always measured relative to the ground.
The gravitational potential energy of a system is related as.
PE = MgH
Where,
M is the mass of body,
g is the acceleration due to gravity,
H is the height of the body with respect to the ground.
As we know, for a particular surface on earth, the mass and g is always constant.
Only the height of the body is changing with respect to the ground, Hence we can conclude here, that gravitational potential energy of a body is measured with respect to the ground.
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a glass slab of thickness 3 cm and refractive index 1.67 is placed on on ink mark on a piece of paper. for a person looking at the mark from a distance of 9.8 cm above it, what well the distance to the ink mark appear to be in cm?
The distance to the ink mark appear to be in 3.58cm.
How do you define refractive index?The refractive index, also known as the index of refraction, is a numerical value that is determined by comparing the difference between the speed of light in a vacuum and that of light in a material with a higher density. The refractive index variable is most usually represented by the letter n or n' in mathematical computations and descriptive language.
The measurement of how much a light ray bends when moving from one medium to another is called the refractive index. It is also known as n = c/v, which is the ratio of the speed of a light beam in a substance to that of a light ray in a vacuum.
The perceived depth of the link noted = real depth/µ
The perceived depth of the link noted = 3/1.67
The perceived depth of the link noted = 1.79cm
So, the person sees the mark from a distance = 1.79+1.79 = 3.58cm
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Which option describes a vector quantity? (1 point)
O It has magnitude, units, and direction.
OIt has magnitude, but no units or direction.
It has magnitude and units, but no direction.
OIt has no magnitude, units, or direction.
A vector quantity has magnitude, units, and direction. So, the first option is correct.
A vector quantity, in physics, is a quantity that has both magnitude and direction. A vector with the value of magnitude equal to one is called a unit vector.
For example, a man is driving a car with a velocity of 90 km/hr in a northeast direction. Then, as we see for defining the velocity, we need two things, i.e. the magnitude of the velocity and its direction. Therefore, it represents a vector quantity. Other examples of vector quantities are displacement, acceleration, force, momentum, weight, the velocity of light, a gravitational field, current, and so on.
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Answer:
(Question) Which quantity is scalar?
(Answer) Energy
(Question) Which option describes a vector quantity?
(Answer) It has magnitude, units, and direction.
(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?
(Answer) It describes displacement, which is a vector quantity.
(Question) Which statement is true regarding a distance vs. time graph?
(Answer) The graph should show distance on the vertical axis.
(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates
(Answer) motion in the positive direction.
Explanation:
just did the quick check, enjoy UwU
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration is: E. is always zero.
What is projectile motion?Projectile motion can be defined as a form of motion which is experienced by a physical object that is projected near planet Earth's surface while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.
Based on scientific research and records, we can infer and logically deduce that the initial horizontal velocity of an object undergoing a projectile motion is always equal to its final horizontal velocity.
Additionally, the horizontal component of the acceleration of a physical object that is undergoing a projectile motion is always equal to zero (0) meter per seconds square because it is experiencing a constant velocity.
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Complete Question:
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
A. remains a non-zero constant
B. continuously decreases
C. continuously increases
D. first decreases and then increases
E. is always zero
how large an angular acceleration must a wheel have is it is to acceleration from rest to 460rad/s after 5rev ?
The angular acceleration of the wheel is 3,367.28 rad/s².
What is the angular acceleration of the wheel?The angular acceleration of the wheel is calculated by applying the first kinematic equation as shown below.
ωf² = ωi² + 2αθ
where;
θ is the angular distance of the wheelω is the initial angular velocity of the wheelα is the angular acceleration of the wheelωf is the final angular velocityThe given parameters include the following;
angular distance of the wheel, θ = 5 rev = 5 rev x 2π rad/rev = 10π rad = 31.42 radthe initial angular velocity of the wheel, ω = 0the angular acceleration of the wheel, α = ?the final angular velocity, ωf = 460 rad/sThe angular acceleration of the wheel is calculated as follows;
ωf² = 0 + 2αθ
ωf² = 2αθ
α = ωf² / 2θ
α = ( 460² ) / ( 2 x 31.42 )
α = 3,367.28 rad/s²
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a skateboard with a negative acceleration, which of the following statements is always true
The initial velocity of the skateboard will be greater than its final velocity.
The correct option is C.
What is acceleration ?Acceleration is the rate at which the speed and direction of velocity vary over time. A point or object going straight ahead gets accelerated when it accelerates or decelerates. Even if the speed decreases, movement on a circle accelerates because the direction is always shifting.
Is speed acceleration?We refer to a change in an object's speed or direction as acceleration. The rate at which speed varies is known as acceleration. Keep in mind that velocity has two parts: speed and direction.
Can acceleration have a negative ?Our theory says that an object accelerates in the reverse direction from the velocity when it slows down. As a result, the object is moving backwards.
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The complete question is-
For a skateboard with a negative acceleration, which of the following statements is always true?
A. The skateboard is losing speed
B. The final velocity of the scooter will be negative
C. The initial velocity of the skateboard will be greater than its final velocity
D. The skateboard will have a negative displacement
a 1571-kg submarine rises straight up toward the surface. seawater exerts both an upward buoyant force of 14,848 n on the submarine and a downward resistive force of 947 n. what is the submarine's acceleration?
the submarine's acceleration is 0.95 m/sec²
Total force on submarine = 14848 - (1571 * 9.8 + 947)
= -1494.8 N
=> submarine's acceleration = F/m
= 1494.8/1571
= 0.95 m/sec²
acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is constantly shifting, motion on a circle accelerates even when the speed is constant. Both effects add to the acceleration for all other types of motion.
It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change over a given period of time, divided by that period of time, is the definition of acceleration. The upper limit of the ratio of velocity change provides instantaneous acceleration (at a specific time and place).
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PLS ANSWER quicklu thank youu
Answer: 3/4 net decline
(three quarters)
Explanation:
considering the length of these contact lines, if the liquid (with surface tension ) makes a contact angle with the ring's surface, what is the total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward?
Droplets of liquid take on their shape due to surface tension.The uneven cohesive forces of the surface layer tend to draw water droplets into a spherical shape, despite their ease of deformation.
Does surface tension push or pull?When the cohesive forces between the liquid molecules are greater than the adhesion to the walls, capillary action results.Water adhesion to a vessel's walls causes the liquid near the borders to be forced upward.The entire liquid surface is drawn upward because the surface tension maintains the surface in place. Surface tension exerts a force that is tangential to the surface, whereas air pressure exerts a force that is perpendicular to the surface. The force transmitted through a rope, string, or wire when two opposing forces pull on it is known as tension. Surface tension depends on the nature of the liquid, the surrounding environment and temperature.To learn more about surface tension refer
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what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
The magnitude of the angular velocity of the merry-go-round is equal to 2.39 rad/s after a 23 kg child gets onto it.
What is angular momentum?Angular momentum can be described as the rotational form of linear momentum. It is a physical conserved quantity as the total angular momentum remains constant.
Given, the mass of the child m = 23 Kg
The mass of the merry-go-round M = 125 Kg
The initial speed of the merry-go-round, ω₁ = 0.52 rev/s = 3.27 rad/s
The radius, r = 1.8 m
From the conservation of the angular momentum, we can find the angular velocity:
[tex]I_1\omega_1= (I_1+mr^2)\omega[/tex]
[tex](\frac{1}{2} Mr^2)\omega_1= (\frac{1}{2} Mr^2+mr^2)\omega[/tex]
[tex]\omega =\frac{M.\omega_1}{M+2m}[/tex]
[tex]\omega = \frac{125\times 3.27}{125 +2\times23}[/tex]
ω = 2.39 rad/s
Therefore, the magnitude of its angular velocity after a 23 kg child gets onto it by grabbing its outer edge is 2.39 rad/s.
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Your question was incomplete, but the most probably complete question was,
A playground merry-go-round with a mass of 125 Kg and a radius of 1.8 m is rotating with a frequency of 0.52 rev/s. what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
you are in bed and wish to shut your bedroom door without getting up. you happen to have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off. which one would be more effective to throw at your door to close it?
Using the concepts of momentum, we got that bouncy ball will be more effective as to throw at my door to close it when both with the same mass. the play dough will stick to the door, the ball will bounce off.
The momentum of an object is equal to the product of its mass and its velocity. The momentum of the system is conserved even if the collision is inelastic.
When the bouncy ball or the blob of clay actually hits the door, their momentum changes. Since momentum is conserved, the door would move in the opposite direction so that the total momentum stays at zero.
Let the mass of each object be . Suppose that both of the objects hit the door at a speed of in the same direction.
The bouncy ball will actually bounce back at about the same speed (in the opposite direction, away from the door.) The magnitude of the change in velocity will be at most . The magnitude of the change in momentum will be at most .However, when the blob of clay hits the door, its shape would change (and it would potentially stick to the door.) In other words, its velocity becomes almost after the collision. The magnitude of the change in its momentum will only be around , which is only about the momentum change due to the bouncy ball.By Newton's Second Law, the net force on the door is proportion to the rate of change in its momentum.
Hence, when I am in bed wish to shut my bedroom door without getting up and have some play dough(clay) and a bouncy ball on hand, both with the same mass. the play dough will stick to the door, the ball will bounce off, the more effective ball to throw at my door to close it is the bouncy ball.
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what additional information is most important for them to add to the graph to best explain the work they've done?
Text is helpful for guiding the viewer and assisting with understanding. The graph's text provides extra details. In graphs, there are two different sorts of text: text that appears around the data regions.
In mathematics, a graph is a visual representation of any data that has been organized. The graph depicts the link between the various variables. The set of items that are somehow related to one another is represented by the graph in a graph theory.
A report can include numerous data regions. Data regions expand to hold the information from the report dataset to which they are associated. For instance, a matrix that shows annual sales for each product has a row group based on the names of the products and a column group based on the years.
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if you wish to reconstruct a complex wave from its fourier spectrum, what additional information must you obtain, other than the amplitudes of the harmonics?
In order to reconstruct a complex wave from its fourier spectrum, we must obtain the phase of each harmonic other than amplitudes of the harmonics.
The phase of each harmonic is needed because it tells you exactly where in time the harmonic will occur.
For example, if a wave has a frequency of 100 Hz, and you know that the phase of each harmonic is regularly spaced by 1 radian (180 degrees), then you can use this information to determine when each harmonic will occur. You can do this by dividing 360 degrees by the frequency and multiplying by 2 pi.
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