A student sits at rest on a piano stool that can rotate without friction. the moment of inertia of the student-stool system is 4.1 kg·m2. a second student tosses a 1.5 kg mass with a speed of 2.3 m/s to the student on the stool, who catches it at a distance of 0.42 m from the axis of rotation. what is the resulting angular speed of the student and the stool?
The resulting angular speed of the student and the stool system after catching the tossed mass is 0.354 rad/s, calculated using the conservation of angular momentum.
Explanation:To find the resulting angular speed of the student and the stool after catching the mass, we need to apply conservation of angular momentum since no external torques act on the system. Initially, the system (student and stool) is at rest, so the initial angular momentum is 0. Upon catching the mass, the student-stool system gains angular momentum from the tossed mass.
The angular momentum of the tossed mass just before it is caught is given by L = mvr, where m is the mass of the object, v is its tangential velocity, and r is the distance from the axis of rotation to where the mass is caught. Plugging in the given values, L = (1.5 kg)(2.3 m/s)(0.42 m) = 1.449 kg·m²/s. This is the angular momentum that the system will have after the mass is caught because of the conservation of angular momentum.
To find the angular speed ω of the student-stool system after catching the mass, we use the equation L = Iω, where I is the moment of inertia of the system, and rearrange it to ω = L/I. The moment of inertia of the system remains 4.1 kg·m² since we are told to ignore any potential changes due to the mass being caught. Thus, ω = 1.449 kg·m²/s / 4.1 kg·m² = 0.354 rad/s.
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A wooden block has a mass of 20.0 kg and a specific heat of 1700 J/kg °C. Find the change in thermal energy of the block as it warms from 15.0°C to 25.0°C.
The change in thermal energy of a wooden block with a mass of 20.0 kg and a specific heat of 1700 J/kg°C warming from 15.0°C to 25.0°C is 340,000 Joules (or 340 kJ).
Explanation:To find the change in thermal energy of the block as it warms from 15.0°C to 25.0°C, we can use the formula for specific heat capacity, which is Q = mcΔT. Here, Q represents the thermal energy transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
For the given wooden block, we know:
Mass (m) = 20.0 kgSpecific heat (c) = 1700 J/kg°CInitial temperature (T1) = 15.0°CFinal temperature (T2) = 25.0°CChange in temperature (ΔT) = T2 - T1 = 25.0°C - 15.0°C = 10.0°CNow we can calculate the change in thermal energy:
Q = mcΔT = (20.0 kg)(1700 J/kg°C)(10.0°C) = 340,000 J
Therefore, the change in thermal energy of the wooden block is 340,000 Joules (or 340 kJ).
The force that is most responsible for the stability of the atomic nucleus is:
A.) gravityB.) electromagnetismC.) strong nuclear force D.) weak nuclear force
Answer: Option (C) is the correct answer.
Explanation:
Nucleus of an atom consists of protons and neutrons. Whereas electrons revolve around the nucleus of the atom.
Protons are positively charged, neutrons have no charge and electrons are negatively charged. So, like charge of protons tend to oppose each other and as a result, electrostatic force of repulsion occurs.
This electrostatic force of repulsion is overcome by strong nuclear force which helps in binding of protons and neutrons into the nucleus.
Thus, we can conclude that the force that is most responsible for the stability of the atomic nucleus is strong nuclear force.
The diagram shows a side view of a skateboard ramp.
At which labeled points would the skateboarder have the most kinetic energy?
W and X
X and Y
Y and Z
W and Z
At which labeled points would the skateboarder have the most kinetic energy?
a. W and X
b. X and Yc. Y and Z
d. W and Z
Here's the picture for everyone :0
The skateboarder will have the most kinetic energy at point X and Y.
Kinetic energy is the energy possessed by an object due to its motion. Kinetic decreases with decrease in speed of the object.
K.E = ¹/₂mv²
In the given diagram, the skateboard will have have the highest speed at point X and Y. Kinetic energy is directly proportional to speed
Thus, we can conclude that the skateboarder will have the most kinetic energy at point X and Y.
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What do we mean when we say that 50 million tons of coal could replace the use of 0.6 MBPD (million barrels per day) of oil used over a year?
A hot air balloon is ascending at a rate of 7.5m/s when a passenger drops a camera. If the camera is 25m above the ground when it is dropped, how much time does it take for the camera to reach the ground, and what is the velocity just before it lands?
A hot air balloon is ascending at speed of 7.5 m/s when a passenger drops a camera. If the camera is 25 m above the ground when it is dropped, it will take the object 3.15 seconds to reach the ground.
What is speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
The time it takes for an object to reach a certain level given the distance and the initial velocity can be calculated through the equation,
d = V₀t + 0.5*gt²
Where d is the distance, V₀ is the initial velocity, g is the acceleration due to gravity and t is time. Substituting the known values from the given above,
25 = (-7.5)(t) + 0.5(9.8 m/s²)(t²)
The value of t from the equation 3.15 s
A hot air balloon is ascending at speed of 7.5 m/s when a passenger drops a camera. If the camera is 25 m above the ground when it is dropped, it will take the object 3.15 seconds to reach the ground.
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What is the relationship between mass and momentum? Be specific as you describe the relationship between mass and linear momentum as well as how mass affects the moment of inertia in angular momentum.
You drop a rock off the top of a 100m tall building. How long does it take to hit the ground?
Julia throws a ball vertically upward from the ground with a speed of 5.89 m/s. Andrew catches it when it is on it's way down at a height of 1.27 m from the ground. After how much time does andrew catch the ball?
On a grid, what is the distance between two points located at (1, 1) and (8, 4) roughly equal to?
a. 9
b. 3.40
c. 7.61
d. 6.89
What evidence did Wegener make use of to develop the theory of continental drift? A The climate of Siberia has always been the same. B There is no evidence of glaciers anywhere in South America. C The Rocky Mountains are taller than the Appalachian Mountains. D Mountains in North America appear to be part of the same chain of mountains as those in Northern Europe.
What is the main difference between protons and neutrons?
A.Protons have a much smaller mass than neutrons.
B.Protons have a much larger volume than neutrons.
C. Protons have an electrical charge, but neutrons have no charge.
D. Protons make up the nucleus, but neutrons orbit around the nucleus.
Answer:
C. Protons have an electrical charge, but neutrons have no charge.
Explanation:
Protons and neutrons both are parts of nucleus and they stay inside the nucleus due to large nuclear force between them
Mass of proton and mass of neutron is almost same or in more precisely we can say that neutrons are slightly heavy than protons
mass of neutrons is 1.008 amu while mass of protons are 1.007 amu.
the main different between them is that protons are positively charged and their charge is same as that of charge of electron
[tex]q_{proton} = 1.6 \times 10^{-19} C[/tex]
while neutrons are electrically neutral and they do not have any charge on them.
so correct answer will be
C. Protons have an electrical charge, but neutrons have no charge.
Answer:
c
Explanation:
He density of ice is 0.92 g/cm3; and the density of seawater is 1.03 g/cm3. a large iceberg floats in arctic waters. what fraction of the volume of the iceberg is exposed?
Only about 11% of the volume of the iceberg is exposed.
[tex]\texttt{ }[/tex]
Further explanationThe basic formula of pressure that needs to be recalled is:
Pressure = Force / Cross-sectional Area
or symbolized:
[tex]\large {\boxed {P = F \div A} }[/tex]
P = Pressure (Pa)
F = Force (N)
A = Cross-sectional Area (m²)
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
Density of Ice = ρ_ice = 0.92 g/cm³
Densiy of Seawater = ρ_seawater = 1.03 g/cm³
Asked:
Volume of the exposed iceberg = ΔV = ?
Solution:
We will use Archimedes' principle to solve the problem as follows:
[tex]w = F[/tex]
[tex]mg = \rho_{seawater} g V'[/tex]
[tex]\rho_{ice} \ g V = \rho_{seawater} \ g V'[/tex]
[tex]V' = ( \rho_{ice} \div \rho_{seawater} ) V[/tex]
[tex]V' = (0.92 \div 1.03) V[/tex]
[tex]V' = \frac{92}{103} V[/tex]
[tex]\texttt{ }[/tex]
[tex]\Delta V = V - V'[/tex]
[tex]\Delta V = V - \frac{92}{103} V[/tex]
[tex]\Delta V = \frac{11}{103}V[/tex]
[tex]\Delta V \approx 11 \% V[/tex]
[tex]\texttt{ }[/tex]
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Answer detailsGrade: High School
Subject: Physics
Chapter: Pressure
[tex]\texttt{ }[/tex]
Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant , Liquid , Pressure
Which of the following is not a characteristic of a creative person
A.Expertise
B.Extrinsic motivation
C.A ventures ome personality
D.Imaginative thinking skills
Extrinsic motivation is not a characteristic of a creative person. Hence, option (B) is correct.
What is extrinsic motivation?The psychological phenomena in which people engage in particular behaviors as a result of rewards from outside sources is known as "extrinsic motivation."
The practice of operant conditioning, a method of behavior modification that makes use of extrinsic motivators—or stimuli like rewards and punishments to motivate particular actions and their repetition, is based on this idea. Both intangibles and extrinsic motivators are possible.
Examples of extrinsic motivation are :
CompensationAdvancementPraiseRewardsVisibilityConflict avoidanceMutual RespectTherefore, the extrinsic motivation is not a characteristic of a creative person. So, option (B) is correct.
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What color would a yellow cloth appear to have if illuminated with sunlight?
An organism lives in the darkest aquatic ecosystem, where light cannot reach. Which ecosystem is this organism most likely in?
In the darkest aquatic ecosystem, light cannot reach in the The open ocean .
What is Dark aquatic ecosystem?Aquatic ecosystems, which include wetlands, rivers, lakes, and coastal estuaries, are vital to human economy and health as well as crucial components of Earth's dynamic processes.
Wetlands are the link between land and water, operating as natural filters to filter out pollutants, control flooding, and serve as cnidiaries for a variety of aquatic animals.
Estuaries, lakes, and rivers are crucial hubs for transportation, recreation, and biodiversity. Wetlands, rivers, lakes, and coastal estuaries are all aquatic ecosystems—critical elements of Earth’s dynamic processes and essential to human economies and health.
Therefore, In the darkest aquatic ecosystem, light cannot reach in the The open ocean .
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The theory of color vision proposed by thomas young that says color perception results from mixing three distinct color systems is called the _____.
The Power Rocket coaster track is 3,265 feet and the ride is 90 seconds long. What is the speed of the coaster in feet per second?
What was the physical principle used by edwin hubble to demonstrate that the "spiral nebulae" are very distant and large?
Which of these helps you understand what people are saying to you? A. Interrupting them B. Looking away while they're speaking C. Thinking about how you'll respond D. Thinking about what they're saying
At room temperature table salt is a solid and mercury is a liquid. What conclusion can you draw about the melting points of these substances?
Describe the relationship between amperage, voltage, and power.
In electric circuits, amperage (current) is the flow of charge, voltage is the potential that causes this flow, and power is the rate of energy consumption or conversion. Power is calculated with the formula P = VI, indicating the direct proportionality between voltage and current, and the inverse relationship with resistance.
The relationship between amperage, voltage, and power in electric circuits is fundamental to understanding electric power.
Amperage, or current (measured in amperes), is the flow of electric charge. Voltage (measured in volts) is the potential difference that causes current to flow through a circuit. The power (measured in watts) is the rate at which electrical energy is consumed or converted into another form of energy. According to Ohm's Law, the formula to calculate power is P = VI, where P represents power, V voltage, and I current.
There is a directly proportional relationship between voltage and current in ohmic devices, meaning that if the voltage increases, the current also increases proportionally, provided the resistance remains constant. Conversely, for a fixed voltage, the current will differ depending on the resistance of the material - the lower the resistance, the higher the current. Hence, if we have two lightbulbs with different wattages operating at the same voltage, the one with a higher power rating must have a lower resistance and consequently draw more current. Increasing voltage will also increase power, which explains why a lightbulb designed for a particular voltage will burn out if connected to a higher voltage.
What electron configuration has the greatest stability?
The electron configuration with the greatest stability is the one that follows the Aufbau principle and has completely filled energy levels or sublevels.
Explanation:The electron configuration that has the greatest stability is one that follows the principle of filling up the energy levels and sublevels in a specific order. This principle, known as the Aufbau principle, states that electrons will fill the lowest energy levels and sublevels first before moving to higher energy levels and sublevels. Additionally, the electron configuration that has a completely filled sublevel or energy level is more stable due to the electron-electron repulsion being minimized.
For example, the electron configuration of the element neon (Ne) is 1s2 2s2 2p6. This configuration has a completely filled 2p sublevel and is considered more stable than a configuration with only partially filled sublevels.
Therefore, the electron configuration with the greatest stability is the one that follows the Aufbau principle and has completely filled energy levels or sublevels.
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What causes friction between two solid forces? After the roughness of the surfaces, what most affects the frictional force experienced
Why is the term free market often a misnomer?
Select the best answer from the choices provided.
Because you have to pay for the goods and service you want.
Because the term often refers to trade agreements which contain many regulations.
Because Adam Smith believed the government should control the economy.
Because a command economy is free of government interventions.
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The heating element of an electric oven is designed to produce 5.0 kw of heat when connected to a 220 v source. what must be the resistance of the element?
The resistance of an electric oven's heating element that produces 5.0 kW of heat when connected to a 220 V source must be 9.68 ohms.
To determine the resistance of the heating element that produces 5.0 kW of heat when connected to a 220 V source, we use the formula for electrical power (P): P = V^2 / R, where P is power, V is voltage, and R is resistance. Rearranging the formula for resistance gives us R = V^2 / P.
Substituting the given values, we get R = (220 V)^2 / (5.0 kW), which can be further simplified as R = 48400 V^2 / 5000 W = 9.68
Therefore, the resistance of the heating element must be 9.68 ohms.
"what scientific principle is the mercury barometer based on"
One's perception depends on the way the brain interprets the stimuli. Please select the best answer from the choices provided T F
Answer: The given statement is true.
Explanation:
A change that is observable is known as a stimuli. Every individual has their own way of thinking and interpreting things.
For example, Lisa got a chocolate as a reward for completing her homework whereas his elder brother gets upset with his mom because of this.
So, in this situation Lisa will be happy as she has got a reward whereas his brother is taking this thing in a negative way by getting jealous or upset about it.
Hence, we can conclude that the statement one's perception depends on the way the brain interprets the stimuli, is true.
The path of a table tennis ball after being hit and hitting the surface of the table can be modeled by the function h = -4.9t(t-0.42) where h is the height in meters above the table and t is the time in seconds. How long does it take the ball to hit the table? What is the ball's maximum height?
Which term describes when situations, events, or people make demands on your body and mind
stress is the correct answer to this problem