Answer: It is zero
Explanation: Without kinetic energy a plate cannot move. It is impossible.
A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the amount of work done by the net torque to the wheel during this time interval?
A: [tex]\frac{1}{2}l\omega_{f}^{2}[/tex]
B: [tex]l\omega_{f} T[/tex]
C: [tex]l\omega_{f} ^{2}[/tex]
D: [tex]l\omega_{f} ^{2} /T[/tex]
The wheel's average net torque over the course of interval T is Iωf/T (option-D).
Does net torque match net force?An object's rotational velocity is altered by net torque. The velocity of an object is affected by net force. When pushed, the block moves horizontally and, assuming low friction, does not rotate.
Given ,
The wheel's initial angular speed, [tex]w_{i}[/tex] = 0
Final wheel angular velocity, [tex]w_{f}[/tex] = [tex]w_{f}[/tex]
The amount of time required to increase the wheel's angular speed t = T
The wheel's angular acceleration,
α = [tex]w_{f}[/tex] - [tex]w_{i}[/tex]/T
α = [tex]w_{f}[/tex] - 0/T
α = [tex]w_{f}[/tex]/T
Newton's Second Law of Rotation states:
The moment of inertia times the angular acceleration are equal when multiple torques are acting on a rigid body about a fixed axis.
τ = Iα
An expression for angular acceleration is:
α = (ωf - ωi) / T
α = ωf/T
As an alternative to the second law:
τ = Iωf/T.
To know more about torque visit:
https://brainly.com/question/3103394
#SPJ1
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 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.
To know more about Acceleration visit:
https://brainly.com/question/12550364
#SPJ13
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
what is the typical power radiated by an ils localizer? what is the potential problem with an ils localizer assigned to 108.1 mhz and a nearby fm broadcast station assigned to 107.7 mhz (hint: what is the typical power radiated by fm radio stations)?
The transmitters operate between 190 and 535 kHz, have a range of at least 15 miles, and have a power of less than 25 watts.
A localizer's sensitivity range.The localizer course is typically 5°, which is fairly narrow. High needle sensitivity follows from this. When the airplane is 2.5° to either side of the centerline with this course width, a full-scale deviation is visible. This sensitivity enables precise alignment to the runway for landings.
Operating between the frequencies of 108.10 MHz and 111.95 MHz, the localizer transmitter uses one of the 40 ILS channels. Signals give the pilot direction to the middle of the runway.
An instrument landing system is a precise runway approach device that uses two radio beams to give pilots horizontal and vertical guidance as they approach the landing. The glideslope (GS) defines the proper vertical descent profile, while the localizer (LOC) offers azimuth guidance.
To know more about power visit:
https://brainly.com/question/287674
#SPJ4
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.
To know more about gravitational potential energy, visit,
https://brainly.com/question/3120930
#SPJ4
the bucket of the backhoe and its contents have a weight of 1200 lb and a center of gravity at g. the bucket is pinned at e (figure 1).
Answer:
1200
Explanation:
tarzan, who weighs 688 n, swings from a cliff at the end of a vine 18 m long (fig. 8-38). from the top of the cliff to the bottom of the swing, he descends by 3.2 m. the vine will break if the force on it exceeds 950 n. (a) does the vine break? (b) if no, what is the greatest force on it during the swing? if yes, at what angle with the vertical does it break?
Tension is defined as the pulling force transmitted axially using a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar 3-D object; tension might also be expressed as the action-reaction pair of forces acting at each end of said elements.
Maximum tension:
T - mg = mv²/L
By energy conservation:
mgh = ¹/₂ mv²
v² = 2gh
Now the tension force in the vine at this position is given as:
T = mg + mv²/L
Now substitute the values in the above equation:
T = 688 N + m(2gh)/L
T = 688 + 2×3.2(688)/18
T = 932.6 N
As the force is less than the limit of 950 N so the vine didn't break.
To know more about tension visit:
https://brainly.com/question/2287912
#SPJ4
a car is being driven at a rate of 40 ft/sec when the brakes are applied. the car decelerates at a constant rate of 16 ft/sec^2. calculate how far the car travels in the time it takes to stop. your answer: answer unit
The car travels a distance of 50ft before stopping, at a rate of 40 ft/sec when the brakes are applied. the car deceleration at a constant rate of 16 ft/sec^2.
Given , Initial speed of the coz ( Vo ) = 40 ft/ sec
Deceleration of the car (dv/dt ) = - 16 Ft/ sec^2
Final speed of the car (Vx ) = 0 Ft / sec
Let the distance travelled by the can be x at
any time t. Let u be the velocity at any time t .
Now , deceleration means rate of decrease of velocity.
So ,
dv/dt = - 16 ft / sec^2
decreasing with
Negative sign means the velocity is decreasing with time .
dv/dt = dv/dx(dx/dt)
dv/dx(dx/dt) = -16
dx/dt = v, so
v dv/dx = -16
vdv = -16 dx
Integrating both sides under the limit 40 to o
0 to x for 'x '. This gives
[tex]\int\limits^0_ a {v} \, dx = \int\limits^0_x {-16} \, dx[/tex]
Here, a=40
x=800/16
x=50ft.
The car travels a distance of 50ft
Learn more about deceleration here
https://brainly.com/question/4403243
#SPJ4
If an object accelerates from rest to its final vermouth in 12.3 s what is the final velocity if it traveled 200m
the final velocity is 10.50 m/s.
calculation:
time t= 12.3 s
distance s= 200u=0
equations are, v² = u² + 2as,
s = ut + ½at²
200= 0*12.3 + 1/2*a*
a=2.77
v² = u² + 2as,
v²= 0 + 2*2.77*200
v=10.50 m/s
What is the speed in units?A particle or object's movement with respect to time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude.
In physics, what does "velocity" mean?An object's position and speed are mostly determined by its velocity. It calculates the distance an object travels in a specific length of time. The distance an object travels in a given amount of time is its velocity.
To know more about velocity visit:-
https://brainly.com/question/18084516
#SPJ1
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).
Learn more about acceleration here:
https://brainly.com/question/591649
#SPJ4
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.
To learn more about Milky way refer to:
https://brainly.com/question/13956361
#SPJ4
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.
To learn more about fourier spectrum visit: https://brainly.com/question/15830034
#SPJ4
sae 6.8 the resolution of a microscope is limited to approximately one-half the wavelength of the light source. because of this limitation, microscopes capable of obtaining atomic-scale images use electrons instead of visible light to illuminate samples. to distinguish atoms separated by a few hundred picometers, as they are in most solids, the electron wavelength should be less than or equal to approximately 200 pm. to what speed must the electrons be accelerated to attain this wavelength?
To find the speed of electrons, known the accelerated and wavelength.
What is acceleration?
The rate of change in both speed and direction of velocity over time is defined as acceleration. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even when the speed is constant.
What is wavelength?
A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm).
λ=h/p
⇒ 200pm=h/m×v
V=6.626×10^⁻³⁴/9.1×10^⁻³¹×200×10^⁻¹²
=0.00364×10^⁻³⁺¹²
=0.00364×10⁹
v⇒3.64×10⁶m/s
Therefore, the speed of the electron accelerated to 3.64×10⁶m/s attain this wavelength.
Learn more about acceleration from the given link.
https://brainly.com/question/460763
#SPJ4
Two nucleotides on the same strand form a __________ bond while two complimentary bases on opposite strands form ____________ bonds. An a-t base pairing forms _____ such bonds.
Two nucleotides on the same strand form a Phosphodiester bond while two complimentary bases on opposite strands form Hydrogen bonds. An a-t base pairing forms 2 such bonds.
In DNA double helix, the individual constituents are called nucleotides. These nucleotides are composed of bases which are linked together though covalent linkage also known as a phosphodiester bond.
Two individual strands in DNA are formed by the combination of phosphodiester linkages.
In general, with in a DNA nucleotides, hydrogen bonds are present which join the complementary pairs of bases. For example, two hydrogen bonds are present between thymine and adenine while three hydrogen bonds are present between cytosine and guanine.
If you need to learn more about Phosphodiester bond click here:
https://brainly.com/question/23660733
#SPJ4
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.
To learn more about charge , refer;
https://brainly.com/question/19886264
#SPJ4
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%.
To learn more about magnification visit: https://brainly.com/question/28957672
#SPJ4
A 1,286-kg car is skidding to a stop along a horizontal surface. The car decelerates from 26.9 m/s to rest in 9.36 seconds. How far did the car skid before coming to rest?
Answer:
Explanation:
Given:
M = 1 260 kg
V₀ = 26.9 m/s
V = 0 m/s
Δt = 9.36 s
___________
L - ?
1)
Vehicle acceleration:
a = (V - V₀) / Δt ) = (0 - 26.9) / 9.36 ≈ - 2.87 m/s²
2)
Braking distance of the car:
L = (V² - V₀²) / (2·a)
L = ( 0² - 26.9²) / (2·(-2.87)) ≈ 121 m
there are two different objects of different masses. object a has a mass of 50 kgs and object b has a mass of 30kgs. which object will have more inertia and why?
PLS ANSWER quicklu thank youu
Answer: 3/4 net decline
(three quarters)
Explanation:
How does the Schrödinger model differ from the Bohr model of an atom?
A) It shows a heavy, positively charged nucleus.
B) It shows electrons scattered throughout a positive material.
C) It shows electron orbitals as regions of space.
D) It shows negatively charged particles in the nucleus
The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.
What is the Bohr model?In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.
However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.
Learn more about the Bohr model:https://brainly.com/question/3964366
#SPJ1
an object moves in an xy - plane and has the following coordinates
The x component of the object's velocity is -8 m/s and the y component of the object's velocity at the given time is 7 m/s.
option B is the correct answer
What is the x and y components of the object's velocity?
The x and y components of the object's velocity at the given time is calculated as follows;
x = -3t³ - 5t²
y = 4t² + 3
where;'
x is the x componenty is the y componentt is the timeAt the given time, t = 1 second, the x and y components of the object's velocity is;
x = -3(1)³ - 5(1) = -8
y = 4(1)² + 3 = 7
Learn more about x and y components here: https://brainly.com/question/27996986
#SPJ1
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:
https://brainly.com/question/28173702
#SPJ4
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.
To know more about vector quantity:
https://brainly.com/question/924864
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
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
To know more about refractive index visit:
https://brainly.com/question/19573667
#SPJ4
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.
Learn to know more about Interference microscopes on
https://brainly.com/question/28548167
#SPJ4
two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). the smaller flywheel of radius 12 cm has a cord that has a pulling force of 50 n on it. what pulling force (in n) needs to be applied to the cord connecting the larger flywheel of radius 19 cm such that the combination does not rotate?
The pulling force (in N) that needs to be applied to the cord connecting the larger flywheel is 31.58 N.
Force is a push or pulls upon an object because of the item's interaction with some other object. A pressure can purpose an object with mass to exchange its speed, i.e., to boost up. stress additionally can be described intuitively as a push or a pull. A force has each importance and route, making it a vector amount.
calculation:-
Net torque on the system = 0
τ = r × F
So, here
r₁ × F₁ = r₂
12 × 50 = 19 × F₂
F₂ = 12 × 50 / 19
= 31.58 N
The phrase force has a very particular which means that. At this degree, it is really suitable to describe a pressure as a push or a pull. A pressure isn't always something that an item consists of or 'has in it. A pressure is exerted on one object thru some other. The concept of a force is not restrained to dwelling subjects or non-residing matters.
Learn more about force here:-https://brainly.com/question/12970081
#SPJ4
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.
To know more about frequency visit:
https://brainly.com/question/14926605
#SPJ4
Stan argues that momentum cannot be conserved when a collision is not a head-on collision. Rachel insists it is conserved because each body receives an impulse of equal magnitude. Rachel is correct because?.
Rachel is correct because during the collision, each body exerts an equal and opposite force on the other, the forces act at equal time intervals, and the law of momentum and vector equation represents conservation for an isolated system.
What exactly is the law of momentum?The law of momentum conservation states that within an isolated system in which two or more bodies act on each other (collision of objects), the total momentum remains constant because momentum is neither created nor destroyed, but only changed by the application of external forces as described by Newton's laws of motion. Furthermore, the law states that the force acts on both objects at the same time and that the forces between the objects are equal.
That is stated by the law of momentum conservation. The total momentum of two or more bodies acting on each other in an isolated system remains constant unless an external force is applied.
To know more about law of momentum, visit:
https://brainly.com/question/13789580
#SPJ4
A 5 kg ball is thrown into the air. It is going 6
m/s when
thrown. How much potential energy will it have
at the top?
The potential energy will be 180J
By going through the formula of potential energy that is U=mgh
where, U= Potential energy
m= mass
g= gravitational feild
h= height
Now as per the question,
Initial velocity, u = 6 m/s
Final velocity, v = 0 m/s
Acceleration due to gravity, g = -5 m/s²
(The negative sign implies that the object is moving downwards)
To find the value of Height, we need to use the relation,
v^2 - u^2 = 2gh
0 - 36 = -10h
h = 36/10 m
Height = 18/5 m
therefore, Potential Energy(U) = mgh
= 10 × 5 × 18/5 J
= 180 J
Therefore, the ball will have a potential energy of 180 J when it is at its highest point.
Know more about potential energy at,
brainly.com/question/964838
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.
Learn more about angular momentum, here:
https://brainly.com/question/15104254
#SPJ1
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.