A 42.0-cm-diameter wheel, consisting of a rim and six spokes, is constructed from a thin, rigid plastic material having a linear mass density of 25.0 g/cm. this wheel is released from rest at the top of a hill 69.0 m high.
For a 42.0-cm-diameter wheel, consisting of a rim and six spokes,the angular speed is mathematically given as
w=118.6 rad/s
What is the angular speed?
Generally, the equation for the Conservation of energy is mathematically given as
K1+U1=K2+U2
Therefore
Mgh+0=0+(1/2)MV2+(1/2)Iω2
Where
M=m+6m
M=2rλ(π+3)
Therefore
[tex]2r \lambda (\pi+3)gh=0.52r \lambda (\pi+3)(rw)2+(1/2)[(2 \pi \lambda r)r2+6( \lambda r)r2/3]w2[/tex]
[tex]w=\sqrt{[(\pi+3)*9.8*53/(0.42/2)2*(\pi+2)[/tex]
w=118.6 rad/s
In conclusion, The angular speed is
w=118.6 rad/s
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Carbon -14 is used to date a palm fossil that originally contained 0.24 grams of carbon -14. The half life is 5700 years. If the fossil is found to be 17,100 years old, how much carbon -14 does it contain now?
Please make sure to show all of your work/process so I can learn how to do it on my own!! thank you
Answer:
Exactly 0.03042 carbon-14 is remaining.
Roughly 0.03 Carbon-14 is remaining. (When/If Multiple Choice)
Explanation:
Not a physics question, this is chemistry, but I'll answer.
First, divide 17,000/5700 to find the t, or time.
t = 2.98245614 or 2.98.
If it originally contained .24 grams, and a half life means x/2,
you would use the formula x/2^p, with p being the number of half lives
(these variables are made up, you can use any you would like)
In 17,000 years, the palm fossil experienced 2.98 half lives.
Thus meaning, using our equation, we would find (.24)/2^2.98
This equals 0.030418784 carbon-14 remaining to be exact.
(For Multiple Choice, it may be required to round to For Multiple Choice, it may be required to round to 3, so .24/2/2/2 or .24/2=.12 then .06 then it equals : .03 Carbon-14)
Carbon -14 is used to date a palm fossil that originally contained 0.24 grams of carbon -14. The half life is 5700 years. If the fossil is found to be 17,100 years old then 0.0303 g of carbon -14 does it contain now.
What is radioactive decay ?The process by which an unstable atomic nucleus loses energy through radiation is known as radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration). A radioactive substance is one that contains unstable nuclei. Alpha decay, beta decay (-decay), and gamma decay (-decay) are three of the most prevalent forms of decay, all of which entail the emission of one or more particles. The mechanism responsible for beta decay is the weak force, while the other two are regulated by electromagnetism and nuclear force. Electron capture is a fourth form of common decay in which an unstable nucleus grabs an inner electron from one of the electron shells.
According to decay formula,
N(t) = N₀ e^(-λt)
Given,
N₀ = 0.24g
t = 17100 years
λ = 0.693/T
Where T is half life.
λ = 0.693/5700 = 1.21 × 10⁻⁴
Putting all the values in the equation,
N(t) = 0.24g e^(-1.21 × 10⁻⁴ ×17,100)
N(t) = 0.0303 g
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A red, 400Kg bumper car is moving to the right at 2m/s. The red bumper car collides head on with a blue bumper car with a combined driver/car mass of 600kg and a velocity of 1m/s. The collision was elastic. If the blue car bounced backwards at a velocity of 0.25m/s, what was the final velocity of the red car?
Based on the principle of the conservation of linear mometum, the recoil velocity of the bliue car is 3.1 m/s.
Principle of conservation of linear momentumThe principle of conservation of linear momentum states that; the total mometum before collsion is equal to the total momentum after collision.
Now;
m1u1 + m2u2 = m2v2 + m2v2
(400Kg * 2m/s) + (600kg * 1m/s) = (600kg * 0.25m/s) + (400Kg * v)
800 + 600 = 150 + 400v
800 + 600 - 150 = 400v
v = 800 + 600 - 150/400
v = 3.1 m/s
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What do air masses have throughout?
Similar temperature and moisture properties.
Similar air pressure and wind speed.
Answer:
They have similar temperatures and moisture properties.
______is the change from a liquid to a gas at a temperature below boiling point
Why do stars more massive than the sun have a higher surface temperature than the sun?.
Answer:
Stars that are more than 40 times more massive than our Sun, cannot expand into a red supergiant. This is because they burn too quickly and lose their outer layers fast. They will reach the blue supergiant stage, or perhaps yellow hypergiant, before returning to become hotter stars.
Explanation:
Answer:
Cause there bigger so they have a more hotter surface.
what is the most effective way to convert atms to pascals
Answer:
1 Atm (atmospheric pressure) is equal to 101325 pascal (Pa). To convert atm to pascal, multiply the atm value by 101325. atm to pascal formula. Pa = atm * 101325.
Explanation:
What is the origin of all stars? supernova dwarfs protostars nebulae
Answer:
Nebulae
Explanation:
Hope this helps!
Answer:
D nebulae
Explanation:
Particle A and particle B, each of mass M, move along the x-axis exerting a force on each other. The potential energy of the system of two particles assosicated with the force is given by the equation U=G/r 2, where r is the distance between the two particles and G is a positive constant
Speed of particle B is 2v₀/3 m/s to the left. Particle A and particle B will always have equal speed since they experience equal forces.
Conservation of energyThe speed and direction of the particle B is determined by applying the principle of conservation of energy as follows;
K.E₁ + P.E₁ = K.E₂ + P.E₂
[tex]\frac{1}{2} Mv^2_A + \frac{G}{r^2} = \frac{1}{2} Mv^2_B + \frac{G}{r^2} \\\\ \frac{1}{2} Mv^2_A = \frac{1}{2} Mv^2_B\\\\v^2_A = v^2_B\\\\v_A = v_B[/tex]
[tex]v_B = \frac{2v_0}{3} \ m/s \ to \ the \ left[/tex]
At any given position, the speed of particle A and particle B will be equal, since they experience equal force and they have equal masses.
The complete question is below:
Particle A and particle B, each of mass M, move along the x-axis exerting a force on each other. The potential energy of the system of two particles assosicated with the force is given by the equation U=G/r 2, where r is the distance between the two particles and G is a positive constant. At time t=T1 particle A is observed to be traveling with speed 2vo/3 to the left. The speed and direction of motion of particle B is ?
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Answer:
Explanation:
the linear momentum is conserved MiVi=MaVa+MbVb
MV0=2V0M/3+MVb
Vb=V0/3
A force of 36N acts at an angle of 55 degrees to the vertical. The force moves its point of application by 64 cm in the direction of the force calculate work done by:
(A)the horizontal component of force
(B)the vertical component of the force
The work done by the horizontal component of force is 18.89 Joules while the vertical component of the force is 13.22 Joules.
WORKThe work done on an object, is the product of the force F and the distance S in the direction of the force. That is,
W = F x S
The S.I unit of work is Joule
Given that a force of 36N acts at an angle of 55 degrees to the vertical. The force moves its point of application by 64 cm in the direction of the force
To calculate work done by:
(A) the horizontal component of force;
Force F = 36Sin55 = 29.489N
W = 29.489 x 64/100
W = 18.87 J
(B) the vertical component of the force;
Force F = 36Cos55 = 20.649
W = 20.649 x 64/100
W = 20.649 x 0.64
W = 13.22 J
Therefore, the work done by the horizontal component of force is 18.89 Joules while the vertical component of the force is 13.22 Joules.
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please help me I’ll make u brainliest please
A 1 liter jar contains 0.5 moles of gas at a pressure of 2 atm. What is the temperature of the gas?
What is the volume of a
container of 4 moles of gas at 200 K with a pressure of 3 atm?
Your scientist friend is trying to figure out how many molecules of gas are in a container. They know that the container has a volume of 5 liters, and they measured the pressure and temperature to be 3.5 atm and 275 K. From this information, what do you tell them the mole measurement should be?
Answer:
See below ( Ideal gas law)
Explanation:
A) PV = n RT P = 2 * 760 = 1520 mm
1520 ( 1) = .5 (8.314)(T) T is in Kelvin
T = 365.64 K
B) PV = nRT
3 ( 760) V = 4 ( 8.314)(200)
V = 2.92 Liters
C) PV = nRT
3.5 (760) (5) = n (8.314)(275) n = 5.8 moles
A force of 4,500 N acts on a car. The
acceleration of the car is 3 m/s/s. What
is the mass of the car? Show your work
below.
Answer:
1500 kg is mass of car
Explanation:
F = ma
F/a = m
4500n / 3 m/s^2 = 1500 kg
Block x of mass m slides across a horizontal surface where friction is negligible. Block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. After the collision, both blocks slide together with a speed vs , as shown in figure 2. What is the kinetic energy of the two-block system before the collision?.
The kinetic energy of the two-block system before the collision will be [tex]\frac{9}{2} MV_S^2[/tex]. Momentum get conserved during the collision.
What is collision?The abrupt, violent coming together in direct contact of two bodies is known as the collision.a falling object and a floor are examples of collision.
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm MV+2m(0)=(3M)V_S\\\\ V= \frac{3MV_S}{M} \\\\ V= 3V_S[/tex]
Velocity of the block before collision is [tex]\rm 3V_S[/tex].
The kinetic energy of the two-block system before the collision is found as;
[tex]\rm KE = \frac{1}{2} mv^2 \\\\\ \rm KE = \frac{1}{2} m(3V_S)^2 \\\\\ \rm KE = \frac{9}{2} MV_S^2[/tex]
Hence, the kinetic energy of the two-block system before the collision will be [tex]\frac{9}{2} MV_S^2[/tex].
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A collision is any situation in which two or more bodies quickly exert forces on one another.
Thus, The momentum of the body prior to the contact is always equal to the momentum of the body following the impact, according to the law of conservation of momentum.
The difference between the system's total kinetic energy before and after a collision can be used to categorize collisions in physics:
The collision is said to as being inelastic if the majority or all of the total kinetic energy is lost (dissipated as heat, sound, etc. or absorbed by the objects themselves); such collisions involve the objects coming to a complete stop.
Thus, A collision is any situation in which two or more bodies quickly exert forces on one another.
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The uncertainty principle applies not only to momentum and position, but also to energy and time.
a. True
b. False
Answer:
(a) that is a true statement
Daily Task $18.3: Homework/Classwork 1. 1.1 The speed of sound in air is about 330 m-s'. A lightning bolt strikes a tree that is 1,5 km away from you. Calculate the time from the moment that you see the lightning flash until you hear the thunder that accompanies it.
Answer:
sup cuh, the answer is, 15 5/8 mm3
Explanation: i did the math.
the postive part of atoms
Answer:
The nucleus (center) of the atom contains the protons (positively charged) and the neutrons (no charge). The outermost regions of the atom are called electron shells and contain the electrons (negatively charged)
Explanation:
A ball of play-doh with a mass of 1 kg is thrown at 5 m/s against a wall. The wall causes the play-doh to smash and come to a stop in 0.13 s. What force does the wall apply to the play-doh to make it stop?"
Provide the magnitude of the force applied by the wall (number only).
The magnitude of the force applied by the wall on the ball while smashed is 38.462 newtons.
How to determine the required impact force to stop a ball of Play-Doh(TM)
After a quick reading of the statement we conclude that the impact theorem shall be useful to determine the dynamic force required to stop the ball when smashed. The impulse theorem results from the combination of the Newton's laws of motion, principle of energy conservation and work-energy theorem:
[tex]m \cdot v_{o} = F\cdot \Delta t[/tex] (1)
Where:
m - Mass of the ball, in kilograms.[tex]v_{o}[/tex] - Initial speed of the ball, in meters per second.Δt - Impact time, in seconds. F - Impact force, in newtons.If we know that m = 1 kg, [tex]v_{o} = 5\,\frac{m}{s}[/tex] and Δt = 0.13 s, then the impact force is:
F = (1 kg) · (5 m/s)/(0.13 s)
F = 38.462 N
The magnitude of the force applied by the wall on the ball while smashed is 38.462 newtons. [tex]\blacksquare[/tex]
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Which of these
is a term for the
process of
wearing rock
down by
friction?
A. rusting
B. dissolving
C. abrasion
D. exfoliation
Answer: C.
Explanation: Abrasion is where two things rub together causing friction, which in turn wears the rock down.
⚠️PLEASE HELP!!⚠️ Which two statements describe how convection currents transfer thermal energy in earths oceans?
Answer:
The answer is D & B
Answer: B and D
Explanation:
which of the following is an example of wernickes aphasia?
An example of wernickes aphasia is someone making a speech which does not make sense.
It majorly caused by loss of flow of blood to the brain. Other causes include
Head injuryBrain inflammationBrain infectionStroke. e.t.cWhat is wernickes aphasia?Wernickes aphasia can simply be defined as a language disorder that makes it very difficult for an individual to understand words and communicate with other people.
So therefore; an exam of wernickes aphasia is someone making a speech which does not make sense.
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help me PLEASE, it's physical science D:
Answer:
90
Explanation:
The bottom number on the element is the number of protons and the top number is the total of the protons + neutrons
The wavelength of a sound wave in this room is 4. 13 m and the frequency is 75 Hz. What is the speed of the wave in the room?
if you double the frequency of the sound wave but keep the wavelength the same, determine the new speed of the wave.
Let's see
#1
[tex]\\ \rm\Rrightarrow v=f\lambda[/tex]
f is frequencylambda is wavelength[tex]\\ \rm\Rrightarrow v=75(4.13)[/tex]
[tex]\\ \rm\Rrightarrow v=309.75ms^{-1}[/tex]
#2
New frequency:-
2(75)=150[tex]\\ \rm\Rrightarrow v=150(4.13)[/tex]
[tex]\\ \rm\Rrightarrow v=619.5ms^{-1}[/tex]
Cells are of various shapes and sizes.The biggest single cell known is the
A. Amoeba
B. Bacteria
C. Egg of an ostrich
D. Human Ovum
Answer:
Explanation:
egg of an ostrich is the biggest
Which statement about natural selection on early earth is correct?.
Answer:
wheres the statements
Explanation:
where its incomplete
Natural selection could act on a population of proto-cells on early Earth, selecting for those that were stable and had self-replicating, catalytic RNA that allowed them to grow and divide to produce similar daughter proto-cells. The correct option is option (B).
Natural selection could act on a population of proto-cells on early Earth. Proto-cells were early, simpler forms of cells that lacked DNA but had self-replicating, catalytic RNA. Through natural selection, those proto-cells that were more stable and had RNA molecules capable of self-replication and catalytic functions would have had a reproductive advantage.
These traits would allow them to grow, divide, and produce similar daughter proto-cells. Over time, this selection process could have led to the development of more complex and stable cellular structures, eventually leading to the emergence of cells that utilize DNA as their genetic material.
Therefore the correct option is option B.
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The complete question is:
Which statement about natural selection on early Earth is correct?
A. Natural selection could only act on populations of living organisms that had DNA as their genetic material.
B. Natural selection could act on a population of proto-cells on early Earth, selecting for those that were stable and had self-replicating, catalytic RNA that allowed them to grow and divide to produce similar daughter proto-cells.
C. Natural selection acted on populations of proto-cells on early Earth in order to make them more like modern living cells that have DNA as their genetic material.
When isaac newton theorized that gravity caused objects to fall to the ground, he had also discovered the force that causes:.
Answer:
He did not find out any other force
Explanation:
Maybe the answer is that newton found out that the same force causes the earth rotating around the sun.
Which statement describes a chemical property related to the particles that make up a material
Answer:
Salt crystals are hard and brittle because they are made up of atoms that combine by ionic bonding.
Explanation:
If a fossil contains 60% of its original carbon, how old is the fossil
Which phenomena support only the wave theory of light? check all that apply. reflection refraction diffraction interference photoelectric effect
The phenomena that support only the wave theory of light are Diffraction and Interference.
What is a lightwave?Light or visible light is electromagnetic radiation within the portion of the electromagnetic spectrum that is perceived by the human eye.
The light sometimes acts like a particle and sometimes like a wave, yet the diffraction and interference are proof of the light's wave nature.
First of all, as a definition, interference is an effect caused by the superposition of two systems of waves (from two different sources). (As an example, the interference -distortion- in radio waves)
Diffraction, by the other hand, refers to several events that occur when a wave meets an obstacle. (usually described as bending of waves around obstacles like the water waves- and in other cases as the dissemination of waves, once they passed small openings)
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Answer:
interference, diffraction, scattering, dispersion, polarisation etc.Explanation: edge
If a spring has a spring constant of 0. 5 N/m and it is stretched 0. 5 m, what is the force
of the spring?
Answer:
0.25N
Explanation:
k=0.5N/m
e=0.5m
f=?
were k=spring constant
e=extension
F=force
According to hooks law,
f=ke
f=0.5x0.5 =0.25 N
Please Help! 20 BRAIN POINTS
An astronaut (m = 95 kg) and her tool box (m = 21 kg) is drifting through deep space at a speed of 0.4 m/s [FWD]. In order to change the direction of travel, the astronaut throws her tool box forward. What is the minimum speed of the thrown tool box necessary, so that the astronaut changes direction?
Answer:
The Speed of the throw that is required to create enough impulse, to change the direction of the momentum is: -1.81m/s
Explanation:
m1=95kg
m2=21kg
V1=.4m/s
V2=?
V'=<0 or -.01 at lowest.
for the Impulse formula, I found: m1 x V1 + m2 x V2 = <0
so,
(95) x (.4) + (21) x (V2)=<0
38kgm/s+(21kg x V2)=<0 or -0.01m/s
I found that V2 was equivalent to -1.81, and when you plugin the value, you get the equation
(95) x (.4) + (21) x (-1.81) = -0.01m/s