Answer:
The speed of the student just before she lands, v₂ is approximately 8.225 m/s
Explanation:
The given parameters are;
The mass of the physic student, m = 43.0 kg
The height at which the student is standing, h = 12.0 m
The radius of the wheel, r = 0.300 m
The moment of inertia of the wheel, I = 9.60 kg·m²
The initial potential energy of the female student, P.E.₁ = m·g·h₁
Where;
m = 43.0 kg
g = The acceleration due to gravity ≈ 9.81 m/s²
h = 12.0 h
∴ P.E.₁ = 43 kg × 9.81 m/s² × 12.0 m = 5061.96 J
The kinetic rotational energy of the wheel and kinetic energy of the student supporting herself from the rope she grabs and steps off the roof, K₁, is given as follows;
[tex]K_1 = \dfrac{1}{2} \cdot m \cdot v_{1}^2+\dfrac{1}{2} \cdot I \cdot \omega_{1}^2[/tex]
The initial kinetic energy, 1/2·m·v₁² and the initial kinetic rotational energy, 1/2·m·ω₁² are 0
∴ K₁ = 0 + 0 = 0
The final potential energy of the student when lands. P.E.₂ = m·g·h₂ = 0
Where;
h₂ = 0 m
The final kinetic energy, K₂, of the wheel and student is give as follows;
[tex]K_2 = \dfrac{1}{2} \cdot m \cdot v_{2}^2+\dfrac{1}{2} \cdot I \cdot \omega_{2}^2[/tex]
Where;
v₂ = The speed of the student just before she lands
ω₂ = The angular velocity of the wheel just before she lands
By the conservation of energy, we have;
P.E.₁ + K₁ = P.E.₂ + K₂
∴ m·g·h₁ + [tex]\dfrac{1}{2} \cdot m \cdot v_{1}^2+\dfrac{1}{2} \cdot I \cdot \omega_{1}^2[/tex] = m·g·h₂ + [tex]\dfrac{1}{2} \cdot m \cdot v_{2}^2+\dfrac{1}{2} \cdot I \cdot \omega_{2}^2[/tex]
Where;
ω₂ = v₂/r
∴ 5061.96 J + 0 = 0 + [tex]\dfrac{1}{2} \times 43.0 \, kg \times v_{2}^2+\dfrac{1}{2} \times 9.60 \, kg\cdot m^2 \cdot \left (\dfrac{v_2}{0.300 \, m} }\right ) ^2[/tex]
5,061.96 J = 21.5 kg × v₂² + 53.[tex]\overline 3[/tex] kg × v₂² = 21.5 kg × v₂² + 160/3 kg × v₂²
v₂² = 5,061.96 J/(21.5 kg + 160/3 kg) ≈ 67.643118 m²/s²
v₂ ≈ √(67.643118 m²/s²) ≈ 8.22454363 m/s
The speed of the student just before she lands, v₂ ≈ 8.225 m/s.
How tightly packed molecules (particles) are packed in a solid, liquid or gas is the
weight
volume
density
Answer:
I believe it's the weight
Explanation:
Select the correct answer. The Cretaceous-Paleogene was a mass extinction event in which nearly every single large, land-dwelling dinosaur went extinct. Which of the following did not result from this extinction event? A. Diverse species of animals began to evolve. B. Meteorites struck the region that Mexico now occupies. C. Clouds of dust and gas billowed into Earth’s atmosphere. D. Ecological niches were left empty but with the potential to be filled.
Answer:
d
Explanation:
because
Answer:
the answer is B. Meteorites struck the region that Mexico now occupies.
Explanation:
i got it right on plato
A 100-watt lightbulb uses 1 kilowatt-hour of electrical
energy when it is on for ten hours. How much energy does
a 25-watt lightbulb use when it is on for ten hours?
Answer:
Energy = 0.25 kilowatt-hour
Explanation:
Given the following data;
Power = 25 Watts
Time = 10 hours
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
[tex] Power = \frac {Energy}{time} [/tex]
To find the energy consumed;
Energy = power * time
Substituting into the formula, we have;
Energy = 25 * 10
Energy = 250 Watt-hour
To convert to kilowatt-hour, we would divide by 1000;
Energy = 250/1000
Energy = 0.25 kilowatt-hour
How does the mass of a satellite, moon or asteroid affect its orbital speed?
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a mass of 150 kg, a radius of 2.0 m, and a rotational inertia of 300 kg·m2 about the axis of rotation. A 60 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.4 rad/s when the student starts at the rim, what is the angular speed when she is 0.70 m from the center?
Answer: [tex]2.29\ rad/s[/tex]
Explanation:
Given
Mass of Platform M=150 kg
the radius of Platform R=2 m
Moment of inertia of Platform [tex]I=300\ kg.m^2[/tex]
Mass of student [tex]m=60\ kg[/tex]
The initial angular speed of the student is [tex]\omega _1=1.4\ rad/s[/tex]
Initially, the moment of inertia of platform and student is
[tex]I_1=\dfrac{1}{2}MR^2+mR^2\\\\I_1=300+60\times 4=540\ kg.m^2[/tex]
The final moment of inertia
[tex]I_2=\dfrac{1}{2}MR^2+mr^2\\\\I_2=300+60\times 0.7^2=329.4\ kg.m^2[/tex]
Conserving angular momentum
[tex]I_1\omega_1=I_2\omega _2\\\\540\times 1.4=329.4\times \omega_2\\\\\omega_2=\dfrac{756}{329.4}=2.29\ rad/s[/tex]
An object has an angular velocity of 1.0 rad and an angular acceleration of 0.5 rad/s. Is the speed of its rotation increasing or decreasing?
Answer:
increasing
Explanation:
Given that,
Initial angular speed =1 rad/s
Angular acceleration = 0.5 rad/s²
We know that the angular acceleration is given by :
[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}[/tex]
Where
[tex]\omega_f[/tex]city and t is time is the final angualr velo
As the angular acceleration of the object is positive. It means that the final speed of the object is more than that initial. As a result, the speed of its rotation is increasing.
help please:))))))))))))))))))))
Answer:
a and c
Explanation:
!Necesito ayuda:Un movil parte del reposo y en 5seg adquiere una rapidez de 12m/seg.Calcular la distancia recorrida.
Answer:
Distancia = 60 metros
Explanation:
Dados los siguientes datos;
Velocidad inicial = 0 m/s (ya que comienza desde el reposo)
Velocidad final = 12 m/s
Por lo tanto, velocidad total = velocidad inicial + velocidad final
Velocidad total = 0 + 12 = 12 m/s
Tiempo = 5 segundos
Para encontrar la distancia recorrida;
Distancia = velocidad total * tiempo
Sustituyendo en la fórmula, tenemos;
Distancia = 12 * 5
Distancia = 60 metros
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject
What is the net force if you pull a cart to the right with 5N of
force and a friend pushes the left to the left with 5 N of force
Answer:
In this case the net force is zero.
According to Newton's third law of motion: For every action, there is an equal and opposite reaction. In this case the net force is zero.
Explanation:
Hope this helps!! :)
Which of the following best describes the term thermal energy? Choose one: A. The energy of an object in motion due to its mass B. The kinetic energy of atoms, ions, and molecules C. The energy stored in an object because of its position D. The energy a particle has because of its charge and its position relative to another particle Part 2 (0.5 point)See Hint Which of the following best describes the term electrostatic potential energy?
Answer:
The correct option is (d).
Explanation:
The energy a particle has because of its charge and its position relative to another particle is called thermal energy. It is the energy that comes from heat. This is generated by the movement of the particles in an object.Thermal energy is the energy an object or system has due to the movement of particles within.Hence, the correct option is (d).
The thermal energy is related to the kinetic energy of atoms, ions, and molecules.
What is thermal energy?The thermal energy of any material is defines as the increase in the internal energy of the material.
When ever heat is given to the material, the atoms and the molecules in the material gains energy and moves with a kinetic energy.
The increase in kinetic energy allows the atoms and the molecules to move with higher velocities in the material, and they collide with each other, thus the temperature of the material increases.
Thus the thermal energy is related to the kinetic energy of atoms, ions, and molecules.
To know more about Thermal energy follow
https://brainly.com/question/19666326
Which one of these Target games uses the underhand throw?
A: Golf
B: KanJam
C: Corn-Hole
D: None Of The Above
HELP!!
Answer:
Cornhole
Explanation:
Dones
Which statement best explains the similarity in the arrangement of the bones in these two structures?
O The bones of all animals are similarly arranged
O The bones of animals that take in oxygen are similarly arranged.
O Humans and whales use these structures to perform the same functions.
Humans and whales inherited these structures from a common ancestor.
Figure 3.50 shows a wooden cube floating in water.
When a stone is placed on the wood, it sinks a further 0.2m.
Find the weight of the
(a) wood
(b) stone
(Density of water = 1000kgm^-3]
Answer:
(a) The weight of the wood is approximately 5,886 N
(b) The weight of the stone is approximately 1,962 N
Explanation:
The given parameters are;
The base area of the wood, A = 1 m × 1 m = 1 m²
The depth to which the wood is submerged below the water, d = 0.6 m
The depth further the wood sinks when a stone is placed on the wood, Δd = 0.2 m
The density of water, ρ = 1,000 kg/m³
(a) Archimedes' principle states that the up-thrust, or upward force acting on an object submerged in a fluid, is equal to the weight of the displaced fluid.
For a floating object such as the wood, the up-thrust is equal to the weight of the object
The weight of the water displaced, W = The volume of the displaced water, V × The density of the water, ρ × The acceleration due to gravity, g
W = V × ρ × g
'V' is the same as the volume of the submerged wood, therefore;
V = A × d = 1 m × 1 m × 0.6 m = 0.6 m³
g ≈ 9.81 m/s²
Therefore;
W = 0.6 m³ × 1,000 kg/m³ × 9.81 m/s² ≈ 5,886 Newtons
The weight of the water displaced, W ≈ 5,886 N = The up-thrust = The weight of the wood
∴ The weight of the wood, W ≈ 5,886 N
(b) Similarly, the weight of the stone, [tex]W_{stone}[/tex] is equal to the weight of the additional volume of water displaced
∴ [tex]W_{stone}[/tex] = A × Δd × ρ × g
By plugging in the values, we get
[tex]W_{stone}[/tex] ≈ 1 m² × 0.2 m × 1,000 kg/m³ × 9.81 m/s² = 1,962 N
The weight of the stone, [tex]W_{stone}[/tex] ≈ 1,962 Newtons
potential energy question
Answer:
closer together
Explanation:
hope i hv answered ur question
At am outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 29.8981 cm on spring with a spring constant
Answer:
Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer
answer : mass of Bananas ( m ) = [tex]\frac{A^2}{V^2} * K[/tex]
To calculate for weight of Bananas = m * g where g = 9.8
Explanation:
Given an amplitude ( A )= 29.8981
Spring constant = x ( unknown )
maximum speed of Bananas( v ) = wA ( unknown )
question : calculate the weight of the bananas
First step : calculate the period of oscillation
T = [tex]\frac{2\pi }{vA}[/tex] --- ( 1 )
next step : express T in terms of mass ( m ) of the bananas
= [tex]2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}[/tex]
∴ m/k = A^2 / v^2
hence mass of Bananas ( m ) = [tex]\frac{A^2}{V^2} * K[/tex]
To calculate for weight = m * g
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject
Answer:
I believe it is D.
Explanation:
I say this because it is position vs. seconds and it makes the most sense based on the markings. Sorry if I am wrong, hope it is right!
Answer: D. 40/15 = 2.67m/s
Explanation:
I hope it is correct
Tyson has been assigned to the offensive line as a left guard on his football team which requires him to make explosive movements and push other players body weight in a specific direction. Which sport skill does he demonstrate as his dominant skill based on this position assignment?
Answer:
The answer is power.
Explanation:
because in the reading it says it's his dominant skill.
and beacuse i got it right on the test.
Answer:
The answer is power.
Explanation:
7. Thermal energy depends upon the______ and _____ of an object?
:
Please give me brainly,
The thermal energy of an object depends on three things: 4 the number of molecules in the object 4 the temperature of the object (average molecular motion) 4 the arrangement of the object's molecules (states of matter). The more molecules an object has at a given temperature, the more thermal energy it has.
Mass and Temperarture
I am pretty sure that is right if Not sorry
Have a great day.
What is addictive about vaping?
Answer:
nicotine obviously
Explanation:
do opposite poles repel
true or false?
Answer:
false
Explanation:
like poles repel and opposite poles attract. :)
Opposite poles attractc each other.
Same poles repels each other.
What does this list of words mean 1 Collect 2 Badge 3 Shine 4 Trace 5 Pear 6 Window 7 Taken 8 Divide 9 Repeat 10 Entire 11 Tail 12 Harvest
Answer:
See explanation below
Explanation:
• Collect: Collect is verb that means to gather or bring something from someone or some place. It also means to extract or obtain an item from a place or person.
• Badge: A badge is a symbol of representation. It is either in a metallic or plastic form and it indicates that the bearer belongs to a certain school, organization or movement.
• Shine: Shine is a verb that means to illuminate or give out light. It also means to emit bright light from a source.
•Trace: Trace is verb that means to carefully track or find out something or an information by asking questions and doing research.
•Pear: Pear is an edible fruit that belongs to the rose family. It is usually green and rounded at the bottom while being narrow near its stalk.
• Window: A window is an opening, typically in a house or a vehicle and usually on the wall or roof. It admits air and light and lets people see through.
•Taken : Taken is the past participle of the verb “take” and it means to get a hold of something.
• Divide: Divide is a verb that means to share into differ parts.
• Repeat: Repeat means to do or say something more than once.
• Entire: Entire means “all” or “everything”. It also means “whole and complete” leaving no part out.
• Tail: Tail means the bottom or extreme end of a thing. It also means the hind part of an animal that sticks out close to the anus.
• Harvest: Harvest means to gather crops after they are grown and mature. It is the period of gathering crops in agriculture.
Juan is studying a group of cells under a microscope. His teacher tells him that the cells either came from the leaf of a tomato plant or the scale of a lizard. Juan could conclude that the cells came from the tomato plant if they contained?
Answer:
chloroplasts
Explanation:
Two coins lie 1.5 meters apart on a table. They carry identical electric charges. Approximately how
large is the charge on each coin if each coin experiences a force of 2.0 N
The charge on each coin is equal to [tex]2.50 \times 10^{-10}\;Coulomb[/tex]
Given the following data:
Force = 2.0 NewtonRadius = 1.5 metersTo determine the charge on each coin, we would apply the law of electrostatic forces:
Mathematically, the law of electrostatic forces is given by the formula:
[tex]F = \frac{kq_1q_2}{r^2}[/tex]
Note: [tex]q_1 = q_2[/tex] (since the coin carry identical electric charges).
Therefore, the formula becomes:
[tex]F = \frac{k(2q)}{r^2}[/tex]
Making q the subject of formula, we have:
[tex]q=\frac{Fr^2}{2k}[/tex]
Substituting the given parameters into the formula, we have;
[tex]q=\frac{2 \times 1.5^2}{2 \times 8.99 \times 10^9}\\\\q=\frac{2 \times 2.25}{2 \times 8.99 \times 10^9}\\\\q=\frac{4.5}{17.98 \times 10^9}\\\\q=2.50 \times 10^{-10}\;Coulomb[/tex]
Read more on charge here: https://brainly.com/question/4313738
State the relationship between the mass of trolley and acceleration of the trolley?
Answer: The complementary relationship indicated by the Newton's second law...
For a given applied force the acceleration of the trolley is inversely proportional to it's mass.
1.Wave motion that is parallel to the wave direction is described
as_____________ wave.
2. The time to make one complete cycle is _____________.
3. The distance between successive crests of a wave is __________.
4. Wave motion that is perpendicular to wave direction describes a
_____________ wave.
5. The number of waves that passes a given point in time is__________.
6. ____________ is a kind of wave that does not need a medium.
7. The highest point of a wave is called ___________.
8. The unit for frequency is ____________.
9. The part of a longitudinal wave where there are fewer particles is
called______________.
10. A region in a medium of longitudinal wave where molecules are
packed is called _____________.
Answer:
Explanation:
A wave is a phenomenon that travels through a material medium without any permanent effect on the medium. It can be classified as mechanical or electromagnetic waves. And the two major types are transverse and longitudinal.
From the given question;
1. Longitudinal waves e.g sound waves, waves in a spring'
2. Frequency (number of cycles per second).
3. Wavelength of the wave. Measured in meters.
4. Transverse waves e.g light waves, water waves.
5. Wave speed.
6. Electromagnetic waves e.g ultraviolet waves, X-rays etc.
7. Amplitude.
8. Hertz.
9. Rarefaction
10. Compression
A wave is a phenomena that flows across a material medium without leaving any lasting mark.
1.Wave motion that is parallel to the wave direction is described
as longitudinal wave.
What is wave?A wave is a phenomena that flows across a material medium without leaving any lasting mark. Mechanical or electromagnetic waves can be used to classify it. Transverse and longitudinal are the two main forms.
1.Wave motion that is parallel to the wave direction is described
as longitudinal wave.
2.Frequency is defined as the number of cycles per second.. The time to make one complete cycle is frequency.
3.Wavelength of the wave is measured in meters.The distance between successive crests of a wave is wavelength.
4. Examples of Transverse waves are light waves, water waves.. Wave motion that is perpendicular to wave direction describes transverse wave.
5.The number of waves that passes a given point in time is Wave speed.
6.Examples of Electromagnetic waves are ultraviolet waves, X-rays etc.
Electroimegnetic wave is a kind of wave that does not need a medium.
7.The highest point of a wave is called amplitude.
8.The unit for frequency is Hertz.
9. A region in a medium of longitudinal wave where molecules are Rarefaction.
10. A region in a medium of longitudinal wave where molecules are
packed is called compression.
To learn more about the wave refer to the link;
https://brainly.com/question/3004869
A car increases from 15 km/s to 45 km/s in 5 seconds. Calculate the average acceleration of the car during these 5 seconds. (2 points) A. 6 km/s2 B. 12 km/s2 C. 30 km/s2 D. 60 km/s2
An unnamed professor is walking to class when an office chair (travelling in the same direction) collides with them. The professor fails into the chair and remains in the chair after collision. The professor, with a mass of 113kg, is travelling at 1.56 m/s. The chair has a velocity of 6.5 m/s, and a mass of 10kg. After the collision, and ignoring any effects of professor falling, what would be the speed of the chair professor system
Answer: 1.96 m/s
Explanation:
Given
Mass of Professor [tex]m_1=113\ kg[/tex]
Velocity of professor [tex]u_1=1.56\ m/s[/tex]
mass of chair [tex]m_2=10\ kg[/tex]
velocity of chair [tex]u_2=6.5\ m/s[/tex]
Suppose after the collision, v is the common velocity
Conserving momentum
[tex]\Rightarrow m_1u_1+m_2u_2=(m_1+m_2)v\\\\\Rightarrow v=\dfrac{113\times 1.56+10\times 6.5}{113+10}=\dfrac{241.28}{123}\\\\\Rightarrow v=1.96\ m/s[/tex]
Iron ball sinks in water but not in mercury. Why?
Answer:
mercury is more dense
Explanation:
Explanation:
Iron ball sinks in water but not in mercury because of the difference in the density iron used in iron ball. The iron ball has more density than water and less than the mercury.
Hence, Iron ball sinks in water but not in mercury.
-TheUnknownScientist
Explain why "selectively permeable" is a good way to describe a cel
membrane.
[tex] \huge \mathsf \blue{Question}[/tex]
Explain why "selectively permeable" is a good way to describe a cell membrane.
[tex] \huge \mathsf \blue {Answer}[/tex]
The plasma membrane is called a selectively permeable membrane as it permits the movement of only certain molecules in and out of the cells. Not all molecules are free to diffuse. If plasma membrane ruptures or breaks down then molecules of some substances will freely move in and out of the cells.
As the plasma membrane acts as a mechanical barrier, the exchange of material from its surroundings through osmosis or diffusion in a cell won’t take place. Consequently, the cell would die due to the disappearance of the protoplasmic material. It allows hydrophobic molecules and small polar molecules diffuse through the lipid layer, but does not allow ions and large polar molecules cannot diffuse through the membrane.