A 300 kg wooden raft floats on a lake. When a 75 kg man stands on the raft, it sinks 4.0 cm deeper into the water. When he steps off, the raft vibrates for a while.
(a) What is the frequency of vibration?
(b) What is the total energy of vibration (ignoring damping)?
Answers
The frequency of vibration is 24.6 Hz and the total energy of vibration is 14.715 J.
Here,
mass of the person, m = 75 kg
sink depth, d = 4 cm = 0.04 m
mass of wooden shaft, ms = 300 kg
From newton second Law : SUM(F) = 0
this whole system will act spring-mass system :
so
mg = k*d
spring constant, k = m*g/d
spring constant, k = 75*9.81/0.04
spring constant, k = 18393.75 N/m
Frequency of oscillation, f = (1/2*pi)*sqrt(k/m)
Frequency of oscillation, f = (1/2*pi)*sqrt(18393.75/75)
Frequency of oscillation, f = 24.6 Hz
Energy, E = 0.5 * k * x^2
Energy, E = 0.5 * 18393.75 * 0.04^2
Energy, E = 14.715 J
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Related Questions
A(n) __________________ solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.
Answers
A(n) active solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.
Active solar systems actively circulate a fluid medium, typically water or a heat-transfer fluid, between solar collectors and the building or storage system using mechanical equipment like pumps or fans. The fluid is circulated to provide room heating, water heating, or other heating applications once the solar collectors transfer the energy from the sun to it.
Active solar systems are those that employ solar collectors to heat water that is then circulated via pipes to produce hot water for residential usage or space heating. These systems can be used to heat buildings.
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for a uniform object, we can assume that any torque due to the weight of the object acts as if all the mass of the object is concentrated at the object's center of mass (or center of gravity). T/F
Answers
True. For a uniform object, it is true that we can assume any torque due to the weight of the object acts as if all the mass of the object is concentrated at the object's center of mass (or center of gravity). This assumption is based on the principle of equilibrium and simplifies the analysis of rotational motion.
The center of mass of an object is the point where the entire mass of the object can be considered to be concentrated. In a uniform object, where the mass is evenly distributed, the center of mass coincides with the geometric center of the object. By considering the torque due to the weight acting at the center of mass, we can simplify the calculation of rotational equilibrium without needing to consider the distribution of mass throughout the object.
This assumption is valid as long as the object is uniform and the external forces acting on it do not cause significant deformation or redistribution of mass. In more complex cases, where the object is not uniform or there are external forces that affect its mass distribution, a more detailed analysis is required.
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A sprinter starting from rest on a straight, level track is able to achieve a speed of 12 m/s in 6.0 s. What is the sprinter's average acceleration? Answer in m/s^2 (meters per second squared)
Answers
Given that a sprinter starting from rest on a straight, level track is able to achieve a speed of 12 m/s in 6.0 s. We are supposed to find the sprinter's average acceleration in m/s^2 (meters per second squared).
Average acceleration is defined as the rate at which an object changes its velocity. It is equal to the change in velocity divided by the time taken. Average acceleration = Change in velocity ÷ Time taken
Here, the change in velocity is equal to the final velocity minus the initial velocity. The initial velocity is zero because the sprinter started from rest.
Final velocity, v = 12 m/s
Time taken, t = 6.0 s
Change in velocity = Final velocity - Initial velocity
= v - u = 12 - 0 = 12 m/s
Average acceleration = Change in velocity ÷ Time taken
= 12 ÷ 6= 2 m/s^2
Therefore, the sprinter's average acceleration is 2 m/s^2 (meters per second squared).
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describe two potential advantages, other than reducing the negative consequences fromusing nuclear power, of generating electricity using wind turbines
Answers
The two potential advantages of generating electricity using wind turbines are:
They are renewable and clean energy sources.They require less operating costs.What is renewable energy?Renewable energy is energy generated from naturally replenished sources such as the sun and wind. Renewable energy may be used to generate power, heat, cool buildings, and move people.
Renewable energy has several benefits that influence the economy, ecology, national security, and human health. The following are some of the advantages of adopting renewable energy in the United States:
Improved the nation's electrical grid's dependability, security, and resilienceJob creation in the renewable energy industryCarbon emissions and air pollution from energy generation are reduced.Increased energy independence for the United StatesTo know more about renewable energy, visit:
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Renewable energy source: One of the biggest advantages of wind energy is that it is a renewable energy source, meaning it will never run out, unlike fossil fuels. This makes it a sustainable and environmentally friendly option for electricity generation.
Cost-effective: Wind energy can be more cost-effective than other traditional forms of energy generation over the long term, especially as technology improves and the cost of wind turbines decreases. Additionally, wind energy has low operational costs once the turbines are installed and running, since there are no fuel costs like there are for fossil fuel power plants.
What are two potential advantage ?Diverse energy mix: Wind energy can complement other forms of renewable energy such as solar and hydro, providing a more diverse and secure energy mix for a given region or country.
Job creation: The installation and maintenance of wind turbines can create jobs, both in the manufacturing and installation of the turbines, as well as in the ongoing operation and maintenance of wind farms. This can help to boost local economies and provide employment opportunities in rural areas.
Reduced greenhouse gas emissions: Generating electricity from wind turbines produces no direct greenhouse gas emissions, helping to reduce the overall carbon footprint of a given region or country and contribute to mitigating the effects of climate change.
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how are the process of melting and freezing similar?
a. they are both processes where heat is released by a substance.
b. they are both processes that physically change a substance.
c. they are both processes that chemically change substance
d. they are both pressure where heat is absorbed by a substance.
Answers
Process of elimination for those feeling sus:
A is freezing, D is melting, C no chemical change takes place, still the same molecules of a substance.
gas expands when 591 J of energy is added to it as heat. The expanding gas does 431 J of work on its surroundings.
(a) What is the overall change in the internal energy of the gas?
J
(b) If the work done by the gas were equal to 1102 J (rather than 431) J), how much energy would need to be added as heat in order for the change in internal energy to equal the change in internal energy in part (a)?
Answers
Let us cut the work done on gas as we move along the direct path
W=-(-area undercurve),=-[(1.00atm)(4.l-2)+1/2(4-1)(4-2)],W=-5atm
The change in internal energy=-88.5J
What does physics mean by internal energy?
In thermodynamics, internal energy is a property or state functional that characterises a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.
What makes it internal energy?
Internal Energy is the energy in a thermodynamics that is NOT either the system's total kinetic energy or the gravitational potential energy. The system's internal freedom levels are connected to the internal energy.
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why do asteroids look like "dots" to earth-based telescopes?
Answers
Asteroids appear as "dots" to Earth-based telescopes due to their small size and significant distance from Earth, resulting in limited angular resolution and light spread.
Asteroids appear like "dots" when observed through Earth-based telescopes due to their small size and distance from Earth.
1. Small size: Asteroids are relatively small celestial bodies compared to planets or stars. Most asteroids range in size from a few meters to hundreds of kilometers in diameter. Their compact size makes them appear as mere points of light when viewed from Earth.
2. Distance: Asteroids are typically located at significant distances from Earth. Even the nearest asteroids are millions of kilometers away. Due to their distance, the light reflecting off asteroids becomes significantly spread out by the time it reaches Earth, resulting in a small and concentrated point of light.
3. Angular resolution: Earth-based telescopes have a limited angular resolution, which determines the smallest details they can resolve. Since asteroids appear as relatively tiny objects in the sky, the limited angular resolution of telescopes causes them to appear as dots without revealing much surface detail.
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Sometimes, supplies can be delivered to people in remote areas by dropping them off from a plane. This is usually the case for ground troops working in areas where planes are unable to land safely. Parachutes are attached to boxes to prevent damage to items when they land. Compare the parachute setups in the image; A has three parachutes attached, B has one parachute attached, and C has two parachutes attached. If every parachute in all three setups are the same size, and each setup was attached to a 50-pound box, which lists the order the boxes would land from slowest to quickest?
A) A, B, C
B) B, C, A
C) А,С, В
D) В, А, С
Answers
The order the boxes would land from slowest to quickest is A,C,B which is option C.
What is a Parachute?This is a device used to slow the motion of an object through an atmosphere by creating drag.
The size of the parachute affects the speed of falling because a larger parachute allows it to displace more air, causing it to fall more slowly. The one with three parachutes which is A will fall slowest and the one with just one will fall fastest.
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of the four main types of organic molecules, the type that consists of mostly carbon and hydrogen and does not dissolve in water are the
Answers
There is Covalent bond between Carbon and Hydrogen.
What is Covalent bond?In chemistry, a covalent bond is an interatomic coupling formed when two atoms share an electron pair. The electrical attraction of their nuclei for the identical electrons is what causes the binding.
When the linked atoms' combined energies are lower than those of widely spaced atoms, a covalent connection is created. To learn more, go to chemical bonding: ionic bonding. The inorganic elements hydrogen, nitrogen, chlorine, water, and ammonia (H2, N2, Cl2, H2O, NH3) as well as all organic compounds are examples of molecules with covalent connections.
Covalent bonds are denoted as solid lines joining atom pairs in structural representations of molecules.
Therefore, There is Covalent bond between Carbon and Hydrogen.
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The strength of an object's gravitational force is affected by both____
and____
Answers
Answer:
the answers are "mass" and "distance"
Explanation:
hope this helps, plz mark brainiest :)
You are playing tennis and return a volley. Identify a force pair.
Answers
During a tennis volley, the force pair involved is the action-reaction forces.
When playing tennis and returning a volley, the force pair involved is the action and reaction forces. In the process of hitting the ball, the tennis racket exerts a force on the ball, which is the action force.
The ball, in turn, exerts an equal and opposite force on the racket, which is the reaction force.Both the racket and the ball experience the force of impact during the volley.
The force applied by the racket causes the ball to move forward, while the equal and opposite force applied by the ball pushes the racket back.
These two forces are referred to as action-reaction forces or force pairs. A force pair refers to a pair of forces that are equal in magnitude but opposite in direction.
These forces always act on different objects and occur simultaneously. In this scenario, the action force was exerted by the tennis racket while the reaction force was exerted by the ball.
Therefore, during a tennis volley, the force pair involved is the action-reaction forces.
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Please explain
A 50-kg person is in an elevator. Determine the normal force exerted on the person by the elevator, if the elevator is accelerating downwards at 5 m/s^2.
Answers
F=ma
F=50kg(5m/s^2)
F=250
Give an example of q eqluibrium in a linear motion
Answers
Answer:
What type of equilibrium? There are more types, lol.
If you want a mechanical equilibrium, then just take in consideration the uniform linear motion. The resultant of the forces is null.
how does the government shape technology?
Answers
Answer:
Society is a group of people that share similar values and beliefs.
The development of technology is affected by society and its changing values, politics, and economics
Explanation:
ple Choice Worth 2 points)
Work and power are different because
work involves force and distance while power involves force an elocity
work involves distance and mass while power involves distance and time
work involves energy and time while power involves force and mass
work involves velocity and time while power involves energy and force
Question 5 miple Choic Worth 2 points)
Answers
Answer:
work involves force and distance while power involves force an elocity
work involves energy and time while power involves force and mass
What is the connection between the x- and y-motions of a projectile?
A. time
B. gravity
C. velocity
D. height
Answers
why is it far easier to measure e / m experimentally than either e or m individually (not just with this experiment, but with any setup)?
Answers
The ease of measuring e/m experimentally comes from the direct observation of charged particles in electric and magnetic fields, the simplification of experimental setups and calculations, and the increased precision due to the cancellation of errors in the ratio.
It's far easier to measure the charge-to-mass ratio (e/m) experimentally than either the charge (e) or mass (m) individually because of the following explained reasons:
1. Direct measurement: Measuring e/m involves directly observing the behavior of charged particles in electric and magnetic fields. This can be done using well-established experimental setups, like the J.J. Thomson's cathode ray tube experiment or the mass spectrometer, where the motion of particles in the fields provides a clear indication of the e/m value.
2. Simplification: When determining e/m, some factors, such as the strength of the electric and magnetic fields and the particle's velocity, can be easily controlled or measured. This simplifies the experimental setup and calculations, making it easier to obtain accurate results.
3. Precision: Measuring e or m individually often requires highly sensitive instruments, as the values of elementary charges and particle masses are very small. These measurements are prone to errors and inaccuracies. However, when measuring e/m, the ratio helps cancel out any errors, leading to more precise results.
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The cartesian coordinates of a point in the xy plane are x = −6.46 m, y = −3.78 m. Find the distance r from the point to the origin. Answer in units of m.
Answers
Explanation:
Use Pythagorean theorem:
r² = x² + y²
r² = (-6.46 m)² + (-3.78 m)²
r = 7.48 m
A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density r that is a function of radial distance r from the cylinder axis: r ! Ar2 . For A ! 2.5 mC/m5 , what is the magnitude of the electric field at (a) r ! 3.0 cm and (b) r ! 5.0 cm?
Answers
Answer:
a) 1.91 c/m
b) 3.62 c/m
Explanation:
See attached image
PLS HELP ME
How does one stage in a stars life lead to another
Answers
A spring with spring constant 25N/m is stretched 10cm. Using the equation Ee=1/2 k e2, the stored elastic potential energy is ...
0.125 J
12.5 J
25 J
1250 J
Answers
Answer:
0.125 J
Explanation:
E = ½ kx²
E = ½ (25 N/m) (0.10 m)²
E = 0.125 J
The stored elastic potential energy from the given equation is equal to 0.5 J.
When an elastic object, such a spring or a stretched rubber band, is displaced from its equilibrium state, it stores energy called elastic potential energy.
Given:
Spring constant, k = 25 Nm⁻¹
Distance, s = 10 cm
From the given equation
E = (0.5) × k × e²
Substitute values:
Ee = (0.5) × k × e²
Ee = (0.5) × 25 × (0.1)²
Ee = 0.5 J
Hence, the stored elastic potential energy from the given equation is equal to 0.5 J.
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Which of the following occurs during meiosis ll?
Choose 1 answer:
A
Crossing over of homologous pairs
B
The separation of sister chromatids
С
The formation of two diploid daughter cells
D
The doubling of genetic information
Answers
Answer:
(b)The separation of sister chromatids
Explanation:
khan academy showed this after getting wrong lol
................produce pollen, which contains the male sex cells, or sperm.
Answers
Answer:
Anther....
My answers
currently the largest optical telescope mirrors have a diameter of a. 10 m b. 12 m c. 15 m d. 20 m
Answers
Currently, the largest optical telescope mirrors have a diameter of a 20 m , so option d is is correct.
The largest optical telescope mirrors have a diameter of a 20m.However, please note that technology and advancements in telescope construction are continuously evolving, so it's possible that larger telescope mirrors have been developed since then. It's always a good idea to consult the latest sources or refer to current astronomical news for the most up-to-date information.An optical telescope is a telescope that gathers and focuses light mainly from the visible part of the electromagnetic spectrum, to create a magnified image for direct visual inspection, to make a photograph, or to collect data through electronic image Therefore option d is correct option.
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Determine the z-transform, including the ROC, for the sequence - a^u [-n − 1] where a = 7.51. What is the value of the z-transform when z. =3.73. Provide your answer with TWO decimal digits of accuracy.
Answers
without knowing the specific value of n, it is not possible to calculate the z-transform at z = 3.73 accurately.The z-transform of the sequence -a^u[-n-1], where a = 7.51, is given by:
X(z) = -a^u[-n-1] * z^(-n)
The region of convergence (ROC) for this z-transform is determined by the values of a and the magnitude of z. Since a = 7.51, the ROC will be outside the circle with radius |a| = 7.51 in the z-plane, i.e., |z| > 7.51.
To find the value of the z-transform at z = 3.73, substitute z = 3.73 into the equation:
X(3.73) = -a^u[-n-1] * (3.73)^(-n)
Unfortunately, without knowing the specific value of n, it is not possible to calculate the z-transform at z = 3.73 accurately.
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how does the mass of object 1 and object 2 relate to gravitational force
Answers
Answer:
They are directly proportional to gravitational force.
Explanation:
Newton's Law of Gravity states that \(F_G=\frac{Gm_1m_2}{r^{2}}\). The two "m" values are the masses of the objects, r is the distance between their centers, and G is the gravitational constant. Notice how the "m" values are in the fraction's numerator (i.e., on top)? That means increasing even one of the objects' masses will increase the gravitational force. This is known as a direct relationship.
Of course, you could always use the wonderful table provided to solve this! You don't believe what I wrote above? Take on of the two objects' masses, divide the gravitational force by that number, and see what happens. Multiply the two masses together, and see what happens. Prove it for yourself!
I hope this increases your understanding of this concept. Have yourself a wondrous day, 'kay?
Which of the following statements is NOT true? A) Machines make work easy. B) Machines increase the speed of doing work. C) Machines change the direction of force D) Machines produce energy.
Answers
The statement that is NOT true is, (Option D) Machines produce energy.
Machines make work easy by decreasing the amount of force needed to move an object. Machines convert a smaller force over a longer distance to a greater force over a shorter distance, reducing the force required to move an object. Machines also increase the speed of doing work.
The amount of work done on an object is equal to the force applied multiplied by the distance moved. If a machine moves an object a shorter distance while applying the same amount of force, it can do work faster. This is accomplished by increasing the force of the machine over the distance it moves.
Machines change the direction of force. They allow forces to be applied in different directions than they would otherwise be able to. A pulley, for example, can be used to change the direction of a force so that it's easier to move an object. Machines do not produce energy. They convert energy from one form to another.
Thus, it can be concluded that machines make work easier, increase the speed of doing work, and change the direction of force. Machines do not produce energy.
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Explain what Pulse Wave is.
Answers
Answer:
A Pulse Wave is a short, non periodic, wave formed by a single input of energy rather than a continuous or repeated input of energy.
Explanation:
A pulse wave or pulse train is a kind of non-sinusoidal waveform that includes square waves and similarly periodic but asymmetrical waves. It is a term is used in synthesizer programming, and is a typical waveform available on many synthesizers.
how many sig figs are there in 100.00
Answers
Hope this helped
is the tension in string a greater than, less than, or equal to the tension in string b if the balls travel over the top of the circle with equal speed?
Answers
If the balls travel over the top of the circle with equal speed, then the tension in string a is greater than the tension in string b.
This is due to the centripetal energy that is needed to keep the balls moving in a circular position provided by the pressure in the strings. The tension in the string is almost equal to the sum of the gravitational force acting on the ball and the centripetal force of the string.
Here string a is moved upward and at an angle to the vertical is always greater than string b. Because the string b is directed downward and at an angle to the vertical. So it experiences both gravitational and centripetal forces.
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