(a) The moment of inertia of the system about the fixed axis is approximately 0.40 kg·m².
(b) The angular speed of the system is approximately 3.18 revolutions per second.
(a) The moment of inertia of the system can be calculated by considering the masses and their distances from the axis of rotation. Since the rod is extremely light, we only need to consider the masses at the ends.
Given:
Mass attached to one end (m₁) = 2.00 kg
Mass attached to the other end (m₂) = 3.00 kg
Distance of the axis of rotation from the end with the 3.00-kg mass (r) = 30.0 cm = 0.30 m
The moment of inertia of the system about the fixed axis is given by:
I = m₁ * r₁² + m₂ * r₂²
where r₁ is the distance of the 2.00-kg mass from the axis and r₂ is the distance of the 3.00-kg mass from the axis. Since the rod is 1.00 m long, we have:
r₁ = 1.00 m - r = 1.00 m - 0.30 m = 0.70 m
r₂ = r = 0.30 m
Substituting the values, we can calculate the moment of inertia:
I = 2.00 kg * (0.70 m)² + 3.00 kg * (0.30 m)²
≈ 0.40 kg·m²
(b) The kinetic energy of the system can be related to the moment of inertia and the angular speed (ω) by the formula:
K.E. = 0.5 * I * ω²
Given:
Kinetic energy of the system (K.E.) = 120.0 J
Solving for ω, we have:
ω = √(2 * K.E. / I)
= √(2 * 120.0 J / 0.40 kg·m²)
≈ 3.18 rad/s
To convert rad/s to revolutions per second, we divide by 2π:
Angular speed = ω / (2π) ≈ 3.18 rad/s / (2π rad)
≈ 0.51 revolutions per second
Therefore, the angular speed of the system is approximately 3.18 revolutions per second.
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Alex rides a merry go round for 10 rotations. In each rotation she travels a distance of 15 meters. The ride lasts for 5 minutes. Alex then exits the ride at the same spot she boarded it. What is the magnitude of Alex's average velocity for the 5 minutes she spent on the ride
0 m/min
30 m/min
15 m/min
150 m/min
A circular loop in the plane of a paper lies in a 0.85 T magnetic field pointing into the paper. The loop's diameter changes from 22.5 cm to 6.4 cm in 0.55 s .
The average induced emf in the circular loop can be calculated by applying Faraday's law of electromagnetic induction. The change in magnetic flux through the loop caused by the changing diameter and the time it takes for the change will determine the induced emf.
Step 1: Calculate the Change in Magnetic Flux
The change in magnetic flux through the loop can be determined by multiplying the change in area and the magnetic field strength. Since the loop lies in the plane of the paper, the magnetic field pointing into the paper will be perpendicular to the loop. Therefore, the change in area is equal to the change in the loop's diameter.
Step 2: Determine the Time Duration
The time duration given is 0.55 seconds, which represents the time it takes for the diameter to change.
Step 3: Calculate the Average Induced emf
Using Faraday's law of electromagnetic induction, the average induced emf can be calculated as the rate of change of magnetic flux through the loop with respect to time. Therefore, the average induced emf is equal to the change in magnetic flux divided by the time duration.
Calculations:
Step 1:
Initial diameter of the loop = 22.5 cm
Final diameter of the loop = 6.4 cm
Change in diameter = Final diameter - Initial diameter
Change in diameter = 6.4 cm - 22.5 cm = -16.1 cm
Change in area = π * (Final diameter/2)² - π * (Initial diameter/2)²
Change in area = π * (6.4 cm/2)² - π * (22.5 cm/2)²
Step 2:
Time duration (Δt) = 0.55 seconds
Step 3:
Change in magnetic flux (ΔΦ) = Change in area * Magnetic field strength
ΔΦ = Change in area * 0.85 T
Average induced emf (ε) = ΔΦ / Δt
Therefore, the average induced emf in the circular loop can be calculated using the above formula. Perform the necessary calculations using the values obtained and the given data to determine the average induced emf.
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An elephant pushes with 2000 N on a load of trees. If it takes the elephant 45 seconds to move trees 15 meters, how much power did the elephant generate?
Answer:
Power generate by elephant = 666.67 W
Explanation:
Given:
Force = 2,000 N
Change in time = 45 Seconds
Distance = 15 meter
Find:
Power generate by elephant ?
Computation:
⇒ Work Done = Force × Distance
⇒ Work Done = 2,000 × 15
⇒ Work Done = 30,000
⇒ Power = Work Done / Time taken
⇒ Power generate by elephant = 30,000 / 45 seconds
⇒ Power generate by elephant = 666.67 W
Physics
1. A car travels from a stopped position to a velocity of 88 miles per hour east in a time of 6 seconds. Determine the acceleration of the car.
2. airplane is moving across the sky at a constant speed of 350 miles per hour at an altitude of 20,000 feet.
a) Make a model (picture or diagram) explaining the forces working on the plane as it moves across the sky.
b)Explain why the plane does not move towards the surface of the earth.
c) If the speed of the plane slows down to zero, explain what will happen to the plane and why?
3. Determine which of the following is has the fastest speed:
A cat with a speed of 4m/s or a dog running with a speed of 3.5 km/hr.
4. A student travels from Angeles to New York city. If his watch says 12:15 pm at tale off from Los Angeles and lands in
New York at 3:45 pm. The distance travelled is 3,450 kilometers. Determine the average speed of the plane in m/s.
Answer:
sorry i am late
Explanation:
To determine the acceleration of the car, we can use the formula: acceleration = (final velocity - initial velocity) / time. In this case, the initial velocity is 0 (the car is stopped), the final velocity is 88 mph, and the time is 6 seconds. So: acceleration = (88 - 0) / 6 = 14.67 mph/s.
a) The forces working on the plane as it moves across the sky include thrust from the engines, lift generated by the wings, weight (or gravity), and drag (air resistance).
b) The plane does not move towards the surface of the earth because the lift generated by the wings is greater than the weight (or gravity) pulling the plane down.
c) If the speed of the plane slows down to zero, the plane will begin to fall towards the surface of the earth. This is because the lift generated by the wings depends on the speed of the plane and at zero speed, there is no lift to counteract the weight of the plane.
To determine which of the two options has the fastest speed, we need to convert the speed of the dog to m/s. 3.5 km/hr is equivalent to 0.978 m/s. Therefore, the cat (with a speed of 4 m/s) is faster than the dog.
To determine the average speed of the plane, we can use the formula: average speed = distance traveled / time taken. The distance traveled is 3,450 kilometers, and the time taken is 3 hours and 30 minutes (or 3.5 hours in decimal form). So: average speed = 3,450 / 3.5 = 985.71 km/h. To convert this to m/s, we can multiply by 1000/3600 = 0.277 m/s. So the average speed of the plane is 0.277 m/s
what is the average velocity of a race car that traveled 88km in 20 min
Answer:
73.3333meters per second
Explanation:
average velocity= distance ÷ time
=(88×1000)/(20×60)
=73.3333m/s
The Fastest Moving Planet In A Solar System Is:? A. The Smallest Planet. B. Any Planet, Because They All Move At The Same Speed. C. The Planet Nearest The Sun. D. The Planet Farthest From The Sun.
The planet that moves the fastest in a solar system is the planet nearest the Sun.
The correct option is C. The Planet Nearest The Sun.
What is a Solar System?
A solar system is a collection of planets, moons, comets, asteroids, and other objects that revolve around a single star. The sun is the center of our solar system, and it includes all of the matter and energy that orbits around it, including Earth and all the other planets.
Sun, the star around which Earth and the other planets of the solar system revolve, has a huge gravitational field. Planets move around the sun in a fixed orbit at varying speeds, depending on their distance from the sun. Because planets are closer to the sun, their gravitational pull is greater, resulting in a faster orbital speed for them.
The planet nearest the sun in the solar system is Mercury. Due to its proximity to the sun, it orbits at a speed of around 48 km/s, making it the fastest planet in the solar system, with an orbital period of 88 Earth days.
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one piece of evidence to explain how Death Valley was formed>
One piece of evidence to explain how Death Valley was formed is the presence of faulting and uplifting in the region.
Why is it called death valley?Death Valley is called so due to its harsh and extreme environmental conditions, which are not favorable for human and animal life. The area is known for its scorching temperatures, aridity, and rugged terrain, making it a difficult place to survive.
The valley lies along the boundary between two tectonic plates, which has caused the land to be uplifted and then dropped down, creating a depression that eventually filled with sediments and became a basin. The process of faulting and uplift has continued to shape the landscape of Death Valley, with ongoing seismic activity contributing to its geologic evolution.
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which of the answers below best describes the precaution you must make before connecting a capacitor to a circuit?
The characteristics of the capacitors can be found answer of which is the most important precaution before connecting a capacitor is:
Discharge the capacitor before handling
A capacitor in a computer that consists of metallic plates with an electrical charge in them, the main function of a capacitor is to store energy.
As a capacitor is an energy storage system, it has a charge Q on each plate, so it must be used with caution among the main measures we have.
Do not manipulate the capacitors after turning off a circuit, the energy is stored and you can receive a shock Before connecting a capacitor, take the precaution of discharging it by short-circuiting its legs.
In conclusion with the characteristics of the capacitors we find that the answer is the most important precaution before connecting a capacitor is:
Discharge the capacitor before handling
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por qué existen diferentes tipos de estrellas
why are nuclear reactions used in nuclear power plants
Answer:
Nuclear reactors are the heart of a nuclear power plant. They contain and control nuclear chain reactions that produce heat through a physical process called fission. That heat is used to make steam that spins a turbine to create electricity.
Answer:
A nuclear power plant's heart is made up of nuclear reactors. They contain and regulate nuclear chain reactions, which produce heat via a physical process known as fission. This heat is converted to steam, which powers a turbine to generate energy.
8.
In a circuit, a difference of potential can exist between two points on the circuit, but usually, the difference in potential is generally measured against the metal chassis on which the
parts of the circuit are mounted. This reference is called the:
A.EMF
B.Ground potential
C.Voltage
D.Relative Charge.
Answer: i think b
Explanation:
b
a 92 kg man lying on a surface of negligible friction shoves a 75 g stone away from himself, giving it a speed of 4.0 m/s. what speed does the man acquire as a result?
The required speed of the man when mass and speed of the stone are specified is calculated to be 0.00326 m/s.
Mass of the man is given as M = 92 kg.
Mass of the stone is given as m = 75 g = 0.075 kg.
Speed of the stone is given as u = 4 m/s.
Speed of the man is to be found out, v = ?
Using the conservation of momentum, we have,
The initial velocities of the man and the stone is zero(V).
So, mathematically,
(M+m)V = M v + m u
(M+m) × 0 = 92 × v + 0.075 × 4
92 × v + 0.3 = 0
92 v = - 0.3
v = - 0.00326 m/s
Thus, the speed of the man is calculated to be 0.00326 m/s.
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Hello, I am trying to solve this physics question, thanks.
When they were falling, their acceleration is equal to the gravity acceleration.
When they started stopping, the time required to stop is 1.5 seconds, that is, 3 times less than the time accelerating.
Since the change in velocity when falling and when stopping is the same (same magnitude but opposite signal), the acceleration when stopping will be 3 times more than the acceleration when falling (because the change in velocity is the same and the time is 3 times less).
So we have:
\(\begin{gathered} a=-3g\\ \\ a=-3\cdot(-9.8)\\ \\ a=29.4\text{ m/s^^b2} \end{gathered}\)Therefore the acceleration is 29.4 m/s².
11. A non-contact force that exists between objects with mass is called
A ball is tossed with enough speed straight up so that it is in the air several seconds. Assume upward direction is positive and downward is negative. Part A What is the velocity of the ball when it reaches its highest point?
Answer:
Answer:
The velocity of the ball when it reaches its highest point is 0
Explanation:
The velocity of the ball when it reaches its highest point is 0
Once the ball is tossed into the air, as it goes up, the initial velocity with which it was thrown, reduces, as the motion of the ball is hindered by several forces such as gravity and air resistance. This slows down the velocity of the ball, up until it reaches a point, where the upwards velocity of the ball becomes zero. at this point, the ball begins to fall back to the ground.
What is used on some electric and hybrid vehicles to cool the power electronics and charger modules?.
Thermal system is used on some electric and hybrid vehicles to cool the power electronics and charger modules.
What is thermal system?
An isolated system has no interaction with the rest of the physical universe, a closed system can only exchange heat and work, and an open system can also exchange mass. In thermodynamics, a system is the portion of the physical universe that the observer chooses to analyse separately from the rest.
A thermal system, on the other hand, is a complex assembly of coupled components, some of which are thermal, that exhibits a common structured behavior for instance, a refrigerator consists of pipes, a compressor, an electric motor, heat exchangers, valves, insulation, a casing, doors, a lamp, and other components that interact to achieve the internal goal of producing cold.
The interior space or the refrigerant are thermodynamic systems, whereas a refrigerator is a thermal system. While large thermal systems, like a refrigerated store, are constructed on the job site, small thermal systems, like a refrigerator, typically come fully installed from the manufacturer (although a straightforward split-air-conditioning system needs installation). Thermal systems often require services such as fuel supply, flue stack, water intake and exit, air intake and exit, and electrical supply (for power or at least for control).
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An object with mass m is moving along the x-axis according to the equation x(t)=αt^2−2βt , where α and β are positive constants.
What is the magnitude of the net force on the object at time t=0?
Express your answer in terms of m and α.
The magnitude of the net force on the object at time t=0 is 2mα.
The magnitude of the net force on an object can be found using the equation F=ma, where F is the force, m is the mass, and a is the acceleration. In this case, we need to find the acceleration of the object at time t=0. We can do this by taking the derivative of the equation for x(t) with respect to time: x(t)=αt^2−2βt dx/dt=2αt−2β The derivative of x(t) with respect to time is the velocity of the object, so we can take the derivative again to find the acceleration: dv/dt=2α The acceleration of the object is 2α, so we can plug this into the equation for force to find the magnitude of the net force: F=ma F=m(2α) F=2mα Therefore, the magnitude of the net force on the object at time t=0 is 2mα.
Magnitude is a measure of the magnitude of an earthquake based on the seismic moment. This scale was introduced in 1979 by Tom Hanks and Hiroo Kanamori as a substitute for the Richter scale and is used in the field of seismology to compare the energy released by an earthquake.
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a heat engine accepts heat at a rate of 14 mw and rejects heat to a sink at 6 mw. what is the actual thermal efficiency of the heat engine?
A heat engine is a device that transforms thermal energy into mechanical work. In order to find the actual thermal efficiency of a heat engine, we use the formula: Thermal efficiency = (Work output / Heat input) * 100We are given that the heat engine accepts heat at a rate of 14 MW and rejects heat to a sink at 6 MW.
The heat input is 14 MW and the heat output is 6 MW. The work output is the difference between the heat input and the heat output. Hence, the work output is:
Work output = Heat input - Heat output
= 14 MW - 6 MW
= 8 MW
The actual thermal efficiency of the heat engine is:
Thermal efficiency = (Work output / Heat input) * 100
= (8 MW / 14 MW) * 100
= 57.14 %
We only need to calculate and report the actual thermal efficiency of the heat engine, our answer is 57.14%.
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A large boulder has been perched on the side of a mountain for many years. What change would cause it to suddenly roll down the mountain?
Answer:
he weight vector approaches the point within the mass, the equilibrium becomes unstable
any change in the conditions of the environment can cause the rock to slide
Explanation:
In general, a rock in a mountain is in stable equilibrium with the help of the force of gravity that causes its weight to be within the center of mass, that is, the weight vector is first and then it is electing the center of mass.
When for some reason the weight vector approaches the point within the mass, the equilibrium becomes unstable, and any change in the conditions of the environment can cause the rock to slide, for example a rain that reduces the friction force.
It may happen that the weight vector is after the center of the hubs, in this case there is an unstable balance and the stone is held in place by the force of friction with the environment that surrounds it, if this friction decreases the rock will slide .
write a sentence explaining how tempature changes with altitude
when preasure decreases, air expands and it cools
A 800 Kg car and driver accelerates at a rate of 35 m/s/s. What force is necessary to bring the car to a complete stop?
Answer:
Your answer would be 28,000 N (newtons).
Explanation:
We'd simply get this by using the formula:
force = mass × acceleration
The information that we have from the question is that the force is 800 times 35.
Now, all we have to do is multiply 800 by 35, and we have our answer of 28,000 N.
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Milk of magnesia is a slippery, bitter-tasting white substance that is commonly used as a laxative. If the pH of milk of magnesia is between 10 and 11, it can best be described as a
Answer:
a moderate base
Explanation:
Milk of magnesia is popularly known as magnesium hydroxide. Magnesium hydroxide Mg(OH)₂ is used as an anti-acid in toothpaste and medically as a mild laxative.
Its pH values range between 10- 11 on the pH scale.
A solution with pH value of 7 is neutral(i.e. neither acidic nor basic.
A pH value which is less than 7 is acidic while a pH value greater than 7 is basic.
For a pH value between 12 -14 on the pH scale is said to be a strong base.
Since Milk of magnesia Mg(OH)₂ pH values ranges between 10- 11 on the pH scale, it is known to be moderately basic.
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh. Round to four decimal places. Select your answer below A. 0.0910 B. 0.2881 C. 0.1982 D. 0.3791
Using the Z-table, the probability is approximately 0.2881. Therefore, the correct answer is B. 0.2881.
To find the probability that the September energy consumption level for a randomly selected home is between 1100 kWh and 1225 kWh, we need to calculate the z-scores for both values using the given mean and standard deviation. The z-score formula is: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For 1100 kWh:
z1 = (1100 - 1050) / 218 = 0.2294
For 1225 kWh:
z2 = (1225 - 1050) / 218 = 0.8018
Next, we look up the cumulative probability associated with each z-score in the standard normal distribution table (also known as the Z-table). Subtracting the cumulative probability for z1 from the cumulative probability for z2 gives us the probability that the energy consumption level falls between the two values.Using the Z-table, the probability is approximately 0.2881. Therefore, the correct answer is B. 0.2881.
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which statement did kepler’s investigations of the movement of the planets explain?
Answer:
Kepler made extensive measurements and created a mathematical model of the movement of the planets around the sun, these analyzes are written in the form of three laws
Explanation:
Answer:
Earth is not the center
Explanation:
hey plz solve this question I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz
Explanation:
I hope it helped U
stay safe stay happy
Can anyone please help
a) The motion of the object between 15 s to 30 s is increasing velocity, to a constant velocity and finally a decreasing velocity.
(b) The average velocity of the object between 0 and 15 seconds is 0.167 m/s.
(c) The position of the object at 5.0 seconds is 0.5 m.
(d) Between 30 and 40 seconds, the velocity of the object is decreasing and the object is decelerating.
What is the motion of the object?(a) The motion of the object between 15 s to 30 s can be described as increasing velocity, to a constant velocity and finally a decreasing velocity.
(b) The average velocity of the object between 0 and 15 seconds is calculated as;
average velocity = total displacement / total time
average velocity = (2.5 m - 0 m ) / ( 15 s - 0 s ) = 0.167 m/s
(c) The position of the object at 5.0 seconds is calculated as follows;
at 5.0 seconds, the position of the object is traced from the graph as 0.5 m.
(d) The motion of the object between 30 and 40 seconds is calculated as;
velocity = ( 0 m - 4 m ) / ( 40 s - 30 s ) = - 0.4 m/s
Between 30 and 40 seconds, the velocity of the object is decreasing and the object is decelerating.
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A pilot of a large passenger airliner hears that a thunderstorm is in the area. What kinds of
dangers might the thunderstorm pose to the aircraft, and what path should the pilot take in
relation to the storm to keep aircraft, crew, and passengers safe?
Answer:
the pilot should recourse back to the airport it og was in
Explanation:
Can anyone help me?
Answer:
option d is your answer
Explanation:
you can find the complete solution in the given attachment
I hope it helped you
Gasoline is an example of an accelerant. True False
Answer:
true
Explanation:
Answer:
I believe its true
Explanation:
Gasoline is the most common fire accelerant used but it could also be present at a scene as an ignitable liquid due to gasoline being a common fuel. Although ignitable liquids are the most common fire accelerants it is possible to have other chemicals being used as a fire accelerant.
(b) What is the probability that the electron can be detected in the middle one third of well, region (b)
In order to determine the probability that an electron can be detected in the middle one-third of a well region, we need to take into account the wave function and the boundary conditions.The wave function represents the probability density of finding the electron in a particular location within the well. The boundary conditions are determined by the geometry of the well, which can be rectangular, triangular, or other shapes.
The Schrodinger equation is used to calculate the wave function and determine the probability density of finding the electron in a particular location. The wave function is a complex function that describes the position and momentum of the electron. It is also used to calculate the energy of the electron in the well.The probability of finding the electron in the middle one-third of the well can be determined by integrating the probability density over the middle one-third of the well region. This will give us the probability of finding the electron in that region. The integral can be evaluated using numerical methods or analytical methods, depending on the complexity of the wave function and the boundary conditions.In general, the probability of finding the electron in the middle one-third of the well will depend on the shape of the well, the energy of the electron, and the boundary conditions. For example, if the well is rectangular and the electron is in the ground state, then the probability of finding the electron in the middle one-third of the well will be high. However, if the well is triangular and the electron is in an excited state, then the probability of finding the electron in the middle one-third of the well will be lower.For such more question on probability
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