To find the final angular velocity of the merry-go-round after the child gets on it, we use the conservation of angular momentum. By setting the initial and final angular momenta equal, we can solve for the final angular velocity. The final angular velocity is found to be approximately 0.301 rev/s.
Explanation:To find the angular velocity of the merry-go-round after the child gets on it, we need to consider the conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum after the child grabs the outer edge. The initial angular momentum of the system is calculated as the product of the moment of inertia of the merry-go-round and its initial angular velocity. The final angular momentum is calculated as the sum of the moment of inertia of the merry-go-round and the child and the final angular velocity.
Let's denote the initial angular velocity of the merry-go-round as ω1, the final angular velocity as ω2, the moment of inertia of the merry-go-round as I1, the moment of inertia of the child as I2, the radius of the merry-go-round as R, the mass of the merry-go-round as M, and the mass of the child as m.
The initial angular momentum is given by:
L1 = I1 * ω1
And the final angular momentum is given by:
L2 = (I1 + I2) * ω2
Setting the initial and final angular momenta equal, we have:
I1 * ω1 = (I1 + I2) * ω2
Rearranging the equation, we can solve for ω2:
ω2 = (I1 * ω1) / (I1 + I2)
Substituting the given values, we have:
ω2 = (120 kg * (1.80 m)^2 * 0.330 rev/s) / ((120 kg * (1.80 m)^2) + (27.5 kg * (1.80 m)^2))
Simplifying the expression, we can calculate the final angular velocity:
ω2 ≈ 0.301 rev/s
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How can an electron in an atom lose energy to go from a higher energy level to a lower energy level? select one:
a. it exchanges gravitational potential energy for kinetic energy.
b. it loses gravitational potential energy.
c. it releases a photon equal in energy to its own energy drop.
d. it absorbs a photon equal in energy to its own energy drop.
e. it loses kinetic energy?
Water's heat of fusion is 80 cal/g. Its specific heat is 1.0 cal/g degrees celsius, and its heat of vaporization is 540 cal/g.
A canister is filled with 330g of ice and 100g of liquid water, both at 0 degrees celsius. The canister is placed in an oven until all the water has boiled off and the canister is empty. How much energy in calories was absorbed?
What voltage would be measured across the 45 ohm resistor?
Answer:
C) 9.0 volts
Explanation:
Calculate the frequency of a water wave that has a wavelength of 0.5 m and a speed of 4.0 m/s
Answer:
f = 8 Hz
Explanation:
Wavelength of wave = 0.5 m
Speed of wave = 4 m/s
Frequency = ?
Solution:
Formula:
f = v/λ
f = frequency
v = speed
λ = wavelength
Now we will put the values in formula.
f = v/λ
f = 4 m/s / 0.5 m
f = 8 s⁻¹
s⁻¹ = Hz
f = 8 Hz
The frequency of the water wave has a wavelength of 0.5 meters and a speed of 4 m/s will be equal to 8 Hz.
What is Wavelength?The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space.
Typically, in wireless systems, this length is specified 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 (UV), and gamma radiation.
As per the given information provided in the question,
The wavelength, λ = 0.5 m
Speed, v = 4.0 m/s
Frequency, F = v/λ
F = 4/0.5
F = 8 Hz.
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A ball is dropped from the roof of a building. the mass of the ball is 3.0 kg. what is the potential energy of the ball in the instant that it is exactly 18.0 meters above the ground?
Potential energy is the energy possessed by an object due to its ___ and kinetic energy is the energy an object has a result of its __
Potential energy is the energy possessed by an object due to its Position or Shape and kinetic energy is the energy an object as a result of its Motion.
We see, the stored water in a dam is the potential energy and when the same water falls to move the turbine, it transforms or changes into Kinetic energy.
when you snap your wrist open, the frisbee ____
A. Flips.
B. Tumbles.
C. Spins.
D.Flops.
imagine that a tank is filled with water the hight of the liquid column is 7 meters and the area is 1.5 sq meters (m™). what's the force of gravity acting on the column of water.
Describe where to look on the Periodic Table to find elements which have similar reactivity and other properties. Give an example of three elements that have those similarities.
A solid steel sphere of density 7.86 g/cm3 and mass 1 kg spin on an axis through its center with a period of 2.3 s. given vsphere = 4 3 π r3 , what is its angular momentum? answer in units of kg m2 /s.
The solution for this problem is:
density = mass / volume
7860 = 1 / ((4/3) pi r^3)
r^3 = 1 / (7860 * 4/3*pi)
r = (1 / (7860 * 4/3*pi))^(1/3)
= 0.067 m
Inertia = (2/5)mr^2
= (2/5) x 1 x 0.067^2
= 0.0017956 kg-m^2
1/2.3 = 0.4348 rev/s
0.4348 x 2pi = 2.732 rad/s
Angular momentum = Inertia x rad/s
0.0017956 x 2.732 = 0.00490557 kg m^2/s
Which correctly lists the outer planets from the least number of moons to the greatest number of moons?
a)Neptune, Uranus, Jupiter, Saturn
b)Saturn, Jupiter, Uranus, Neptune
c)Jupiter, Neptune, Uranus, Saturn
d)Uranus, Neptune, Jupiter, Saturn
How much force is required to accelerate a 2kg mass at 3 m/s2? answer key?
Using Newton's second law of motion, the force required to accelerate a 2kg mass at 3 m/s² is 6 Newtons.
To calculate the force required to accelerate a 2kg mass at 3 m/s², we can use Newton's second law of motion, which states that the force is equal to mass times acceleration (F = m imes a). Therefore, the force (F) required is:
F = 2kg imes 3 m/s² = 6 N
This means that a force of 6 Newtons is needed to accelerate the 2kg mass at the specified rate.
Which is not true of the weak nuclear force?
A. It is a repellent force.
B. It acts over a shorter range than the strong nuclear force.
C. It is an attractive force.
D. It is weaker than the strong nuclear force.
Answer: Option (A) is the correct answer.
Explanation:
A force that helps in binding protons and neutrons together in a nucleus is known as nuclear force. It is known that neutrons have no charge whereas protons have positive charge and like charges repel each other but due to the strong nuclear force which over powers the repulsion force between protons, they are held together in a nucleus.
A weak nuclear force is weaker than the strong nuclear force. Also, it acts over a shorter range than the strong nuclear force. A weak nuclear force is also attractive in nature.
But a weak nuclear force is not repellent in nature.
Thus, we can conclude that a weak nuclear force is a repellent force is not true.
Most ocean waves obtain their energy and motion from _____. the moon's gravitational attraction the sun plate movement the wind
Answer:
The Wind
Explanation:
Which of the following statements is true about a current-carrying wire in a magnetic field? @Somy
A. Reversing the current direction will cause the force deflecting the wire to be parallel to the magnetic field.
B. Reversing the current direction will cause the force deflecting the wire to be perpendicular to the magnetic field but in the opposite direction.
C. Reversing the current direction will not affect the force deflecting the wire.
Which statement accurately compares the weight of an object on these two planets
On which of the following planets or celestial bodies will the mass of the object be the greatest?
The Earth because it has the greatest mass and therefore the largest force of gravity.
The Moon because it has the lowest mass and the weakest force of gravity.
Its mass will be the same on all because mass is constant, no matter the gravity.
Jupiter because it has the greatest mass and therefore the greatest force of gravity.
Answer:
Its mass will be the same on all because mass is constant, no matter the gravity
Explanation:
Inertial property of an object is its mass. Mass is a changeless quantity since it is the amount of matter contained in an object. When an object is on the surface of the earth or any other celestial body, it is influenced by the pull of gravity of that planet . Then it experiences the gravitational force which is called as weight , commonly.
It is weight that changes when an object is taken from one place to another . But it is mass that remains constant.
Vast, circular to elliptical dark-colored, smooth areas of the moon are known as ________.
Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements? a.Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship. b.Lisa is correct because light travels through air at the fastest speed, and speed and frequency have a direct relationship. c.Neither person is correct because light does not change frequency when it travels through different media. d. Both people are correct because light has both an inverse and a direct relationship with frequency, depending on the media.
Neither person is correct because light does not change frequency when it travels through different media.
In a cathode ray tube, the number of electrons that reach the fluorescent screen is controlled by the A. cathode. B. anode. C. grid. D. deflecting plate.
Answer:
C) The answer is grid .
Explanation:
Grid lies between cathode and anode with varying volts . It controls the no of
electrons reaching screen. It is kept closer to cathode which emits electrons.There may be more than one control grid.
Please help! Will give Brainliest!!! Describe where to look on the Periodic Table to find elements which have similar reactivity and other properties. Give an example of three elements that have those similarities.
A 15-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 23 n. starting from rest, the sled attains a speed of 1.8 m/s in 8.5 m. find the coefficient of kinetic friction between the runners of the sled and the snow.
which group in the periodic table is known as salt farmers?
carbon family
copper family
helium family
halogen family
The group in the periodic table known as salt farmers is the halogen family, which consists of fluorine, chlorine, bromine, iodine, and astatine.
The group in the periodic table known as salt farmers is the halogen family. The term 'halogen' comes from Greek roots meaning 'salt forming.' This group consists of the elements fluorine, chlorine, bromine, iodine, and astatine, which are all found in Group 17 of the periodic table. They react readily with metals to form salts, such as sodium chloride (table salt) and calcium chloride (road salt).
Halogens are known for forming compounds with metals to create salts.These elements are very reactive and can be found in Group 17.Examples of halogen compounds include sodium chloride (NaCl) and calcium chloride (CaCl₂).In contrast, the carbon family (Group 14), the copper family (transition elements), and the helium family (noble gases) do not have these properties.
A 5.00-a current runs through a 12-gauge copper wire (diameter 2.05 mm) and through a light bulb. copper has 8.5 * 1028 free electrons per cubic meter. (a) how many electrons pass through the light bulb each second
The correct answer is: [tex]3.125*10^{19}[/tex] electrons/second
Explanation:
5A current is passing through the copper wire and the light bulb; it means that 5 Coulombs of charge per second is passing through the wire (as current = coulombs/second). To find the electrons per second, the following formula is used:
Electrons per second = [tex]n_e=\frac{5}{e}=\frac{5}{ 1.60\cdot 10^{-19}}=3.125*10^{19}[/tex]
Answer:
[tex]\frac{dN}{dt} = 3.125 \times 10^{19}[/tex] electrons per second
Explanation:
As we know that electric current is defined as rate of flow of electric charge
so here we will have
[tex]i = \frac{dq}{dt}[/tex]
here we know that
[tex]q = Ne[/tex]
now from above equation
[tex]i = e\frac{dN}{dt}[/tex]
here we know
[tex]\frac{dN}{dt}[/tex] = number of electrons passing per second
e = charge of an electron
i = 5.00 Ampere
now from above equation we have
[tex]\frac{dN}{dt} = \frac{i}{e} [/tex]
[tex]\frac{dN}{dt} = \frac{5}{1.6 \times 10^{-19}}[/tex]
[tex]\frac{dN}{dt} = 3.125 \times 10^{19}[/tex]
so above is the total number of electrons passing through wire per second
Suppose that a dominant allele (P) codes for a polka-dot tail and a recessive allele (p) codes for a solid colored tail. In addition, suppose that a dominant allele (L) codes for long eyelashes and a recessive allele (l) codes for short eyelashes. If two individuals heterozygous for both traits (tail color and eyelash length) mate, what's the probability of the phenotypic combinations of the offspring?
A. 9:3:3:1 ratio (9 polka-dot tails and short eyelashes, 3 polka-dot tails and long eyelashes, 3 solid tails and short eyelashes, 1 solid tail and long eyelash)
B. 1:1 ratio (half are polka-dot tails and long eyelashes; half are solid tails and short eyelashes)
C. 1:1 ratio (half are polka-dot tails and short eyelashes; half are solid tails and long eyelashes)
D. 9:3:3:1 ratio (9 polka-dot tails and long eyelashes, 3 polka-dot tails and short eyelashes, 3 solid tails and long eyelashes, 1 solid tail and short eyelash)
Please help♥
Starting the moon's cycle with the new moon phase, what phase will it be in after about a week?
A coin slides over a frictionless plane and across an xy coordinate system from the origin to a point with xy coordinates (3.30 m, 5.20 m) while a constant force acts on it. the force has magnitude 9.70 n and is directed at a counterclockwise angle of 111.° from the positive direction of the x axis. how much work is done by the force on the coin during the displacement?
Work = force x distance x cos (theta) where theta is the
angle between the force and the direction of motion
component of force in x direction = 9.70N cos 111 = -3.48 N
component of force in y direction = 9.70 sin 111 = 9.06 N
Adding the two = -3.48 x 3.30 m + 9.06N x 5.20 m
= 11.484 + 47.112
= 58.60 Joules
From the graph find the cars speed 5 seconds into the journey
Which of these alkali metals has the largest atomic radius?
A) Cs
B) Fr
C) Li
D) Na
Answer:
B
Explanation:
Fr
In each of the four situations described below, something is being heated. in which case is the heating caused by radiation?
a. a heat lamp keeps a hamburger warm.
b. cooking an egg in a skillet.
c. hot air pouring from a heat vent.
d. melting ice on your sidewalk by pouring hot water on it.
In the case of a heat lamp keeping a hamburger warm, the heating is caused by radiation (Option A).
What is heat transfer?Heat transfer is the process through which internal energy from one material is transferred to another.
A heat lamp emits thermal radiation, which is a form of electromagnetic radiation in the infrared part of the spectrum. This radiation travels through the air and is absorbed by the hamburger, causing it to heat up. The heat lamp is a source of radiant heat and the hamburger is being heated by the transfer of energy by radiation.
In the case of cooking an egg in a skillet (Option B), the heating is caused by conduction.
In the case of hot air pouring from a heat vent (Option C), the heating is caused by convection.
In the case of melting ice on your sidewalk by pouring hot water on it (Option D), the heating is caused by conduction.
Thus, the heat lamp keeps a hamburger warm, the heating is caused by radiation.
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