The 61.0 kg mass would need to be placed a distance of x = 0.147 m from the 570 kg mass to experience a net force of zero.
The net gravitational force between two masses can be calculated using Newton's law of gravitation:
F = G(m1 × m2) / r²
where:
F is the force,
G is the gravitational constant (G = 6.67 x 10⁻¹¹ Nm²/kg²),
m1 and m2 are the masses of the two objects,
r is the separation distance between the two objects.
The net gravitational force exerted by the 270 kg and 570 kg masses on a 61.0 kg mass placed midway between the two masses can be calculated as follows:
F1 = G (270 kg × 61.0 kg) / ((0.34 m / 2)²)
F2 = G (570 kg × 61.0 kg) / ((0.34 m / 2)²)
The net force would be equal to the sum of these two forces:
Fnet = F1 + F2
To find the position at which the 61.0 kg mass would experience a net force of zero, we need to find the position at which the force from the 270 kg mass is equal and opposite to the force from the 570 kg mass.
F1 = F2
G (270 kg × 61.0 kg) / (x²) = G (570 kg × 61.0 kg) / ((0.34 m - x)²)
Solving for x, we find that:
x = (0.34 m×(270 kg - 570 kg)) / (270 kg + 570 kg)
So, the 61.0 kg mass would need to be placed a distance of x = 0.147 m from the 570 kg mass to experience a net force of zero.
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If a man moves a large box that weighs 10 Newtons 20 meters in 30 seconds, how much power was used?
Answer:
6.67 Nm/s
Explanation:
As we know, the rate at which work is done is called power.
Power = Work done/ Time
Power = F * D / T
Where,
F = Force
D = Distance
T = Time
Given,
F = 10N
D = 20m
T = 30s
Power = 10*20/30
Power = 200/30
Power = 6.67 Nm/s
Hope it helps! :)
Answer:
6.67 watts
Explanation:
power=force × velocity
10×20÷30
=6.67 watts
vehicle turn signals must be visible from _____ feet in normal sunlight.
Vehicle tail lights must be visible from 500 feet to the rear in normal sunlight.
For most of the vehicles around the world, the tail lights are red. The brake lights appear to be luminous red. Tail lights also include the backup lights. They are white in color. The idea of "red signifies stop". It has always been connected to danger and warnings. Red can be an indication of caution as well as dangerous plants and insects in the natural world around the world. Green signifies go.
The wavelength of red light is the highest of all the available wavelengths(620-750 nm). Due to this, we can travel the largest distance.
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an astronomical unit (au) is approximately 150 million km. in kilometers, how far did new horizons travel to get to arrokoth? (5 pts)
The distance covered by new horizons to reach arrokoth was 12,500 km (7,800 mi).
In the Solar System, Arrokoth is the most distant and primitive object that a spacecraft has ever visited. On January 1, 2019, the NASA spacecraft New Horizons made a flyby of the object. The New Horizons crew searched for its Kuiper Belt flyby target after Pluto using the potent Hubble Space Telescope. The research team, lead by co-investigator Marc Buie, found an object that New Horizons may reach with its remaining fuel using data acquired with Hubble on June 26, 2014. In 2019, the object was given the nickname "Arrokoth" (a Native American phrase that meaning "sky" in the Powhatan/Algonquin language), minor planet number 485968, and the designation 2014 MU69.
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50m
2. Normie Neutron swings a rubber ball attached to a string over his head in a
horizontal, circular path. The piece of string is 1.5 m long and the ball makes 120
complete turns each minute.
a) What is the average velocity of the ball?
b) What is the ball’s centripetal acceleration?
The requried, a. average velocity = 9.42 meters/second and b. the ball's centripetal acceleration is 59.11 meters/second².
What is velocity?Velocity is defined as the rate of change in the position of an object with respect to time.
a) The average velocity of the ball can be found by dividing the total distance traveled by the time taken.
average velocity = total distance/time taken
average velocity = (3π meters/turn) x (120 turns/minute) x (1/60 minutes/second)
average velocity = 9.42 meters/second
b) The ball's centripetal acceleration is given by the formula a = v^2/r, where v is the velocity of the ball and r is the radius of the circular path.
a = v²/r
a = (9.42 m/s)² / 1.5 m
a = 59.11 m/s²
Therefore, the ball's centripetal acceleration is 59.11 meters/second².
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- how much of the 100 kj of thermal energy at 650 k can be converted to useful work? assume the environment to be at 25oc.
Out of the 100 kJ of thermal energy at 650 K, only 53.9 kJ, or 53.9%, can be converted to useful work. The remaining energy will be rejected to the environment as waste heat.
To determine how much of the 100 kJ of thermal energy at 650 K can be converted to useful work, we need to calculate the maximum possible efficiency of a heat engine operating between these two temperatures.
The maximum possible efficiency of a heat engine operating between two temperatures T_hot and T_cold is given by:
efficiency = 1 - (T_cold / T_hot)
In this case, T_hot = 650 K and T_cold = 25 + 273 = 298 K. Substituting these values into the efficiency equation, we get:
efficiency = 1 - (298 / 650) = 0.539
Therefore, the maximum possible efficiency of a heat engine operating between these two temperatures is 0.539, or 53.9%.
To determine how much of the thermal energy can be converted to useful work, we can multiply the thermal energy by the maximum efficiency:
useful work = thermal energy x efficiency
useful work = 100 kJ x 0.539
useful work = 53.9 kJ
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or an observer at a middle latitude (i.e. neither at the equator nor the poles), how much time is there between when a star rises and when it sets? group of answer choices
For a observer at a middle latitude, the time between when a star rises and when it sets depends on the star.
If you watch the night sky for a few hours, you will see that the stars appear to rotate about a fixed point in the sky (which happens to be near the pole star, Polaris). This motion is due to the Earth's rotation. As the spin of the Earth carries us eastward at almost one thousand miles per hour, we see stars rising in the East, passing overhead, and setting in the West.
Because of the Earth's rotation, everything in the sky seems to move together, turning once around us every 24 hours. Ancient astronomers explained this phenomenon by supposing that the Sun, Moon, planets, and stars were attached to a huge celestial sphere, centered on the Earth, which rotated on a fixed axis once per day.
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--The complete question is, An observer at a middle latitude (i.e. neither at the equator nor the poles), how much time is there between when a star rises and when it sets?
a. <12 hours
b. about 12 hours
c. > 12 hours
d. depends on the stars--
a comet has a perihelion distance of 0.79 a.u. and an orbital period of 54 years. to the nearest thousandth of an a.u., what is its aphelion distance from the sun
Aphelion distance from the sun when a comet has a perihelion distance of 0.79 a.u. and an orbital period of 54 years to the nearest thousandth of an a.u. is 3.13 * 2 = 6.26 astronomical units.
We may use Kepler's third rule of planetary motion, which stipulates that the square of a planet's orbital period (P) is proportional to the cube of its semi-major axis (a). It may be written mathematically as:
P^2 = a^3
where P represents the orbital period in years and a represents the semi-major axis in astronomical units. The semi-major axis is half the distance between the aphelion (the farthest point from the sun) and the perihelion (closest point to the sun).
Because the perihelion distance in this example is 0.79 astronomical units and the orbital period is 54 years, we can plug these numbers into the equation:
54^2 = a^3
a = (54^2)^(1/3)
When we compute the cubic root, we get:
3.13 a.u. = about 3.13 a.u.
The semi-major axis is around 3.13 astronomical units, and the aphelion distance is about 3.13 * 2 = 6.26 astronomical units.
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a ball is kicked with an initial velocity of 11.0 m/s in the horizontal direction and 17.0 m/s in the vertical direction. (assume the ball is kicked from the ground.) (a) at what speed (in m/s) does the ball hit the ground?
Answer:
see below
Explanation:
maximum height attained= u²/2g
= 17²/2*10 m
= 14.45 m
speed on hitting the ground= √2gh
= √2*10*14.45 m/s
= 17m/s
hence it will hit the ground with same speed with which it was projected if we neglect the air resistance.
bringing your thumb and index together in a pinching motion (for zooming in and out) is an example of
Bringing your thumb and index together in a pinching motion (for zooming in and out) is an example of gesture.
A gesture is a movement of the hand, arms, or other body part that is intended to indicate or emphasize something, often when speaking. In other words, gestures are body movements that express something. For example, a wave of the hand is a common gesture used to say hello to someone.
Gestures allow individuals to communicate a variety of feelings and thoughts, from contempt and hostility to approval and affection, often together with body language in addition to words when they speak.
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assume that 10 ft-lb of work is required to stretch a spring 4 ft beyond its natural length. what is the spring constant?
The spring constant is 2.5 ft-lb/ft.
What is spring constant ?Spring constant is a physical constant associated with a spring in a mechanical system. It is a measure of the stiffness of the spring, and is equal to the ratio of the force applied to the spring to the resulting displacement of the spring. The spring constant is usually denoted by the letter k. The unit of the spring constant is newtons per meter (N/m). In a linear system, the spring constant is a constant, and does not depend on the magnitude of the force applied or the displacement of the spring. The spring constant of a system is determined by the material properties of the spring and its geometry.
The spring constant, or stiffness, of a spring is defined as the amount of force (in units of force, such as pounds or Newtons) required to stretch the spring a certain amount (in units of distance, such as feet or meters).
Spring Constant = Work / Distance = 10 ft-lb / 4 ft = 2.5 ft-lb/ft.
Therefore, the spring constant is 2.5 ft-lb/ft.
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What happens to light as it passes through a lens?
Answer:
A lens bends a light beam at an aimed angle and converges or diffuses bundles of rays by taking advantage of refraction taking place when the light travels. For that purpose, the side geometry of a lens has a spherical figure, which may be roughly divided into two types.
Concave lens and
Convex lens.
In short if a light ray passes through a lens, then it will bend.
When it passes through concave lens: the ray of light passing through the concave lens will bend further away from principal axis after refraction.
When it passes through convex lens: the ray of light after passing through the convex lens will towards the principal axis.
a block with mass is suspended on a string. you pull upwards on the string creating a tension force of magnitude . if the upward speed of the block is right now, then what is its speed later?
The block receives gravitational potential energy when the string is pulled up on it, and this energy is equal to mgh, where mg is the block's mass, g is the acceleration caused by gravity, and h is the height to which it is elevated.
Depending on the context, a block can be used to refer to various things. A block in computing is a unit of data that is sent or stored as a single entity. A block in programming is a segment of code contained in curly brackets or a keyword like "if" or "while." A block in economics is a collection of nations or organisations that work together to accomplish similar objectives. A rectangular or square building material made of concrete, clay, or other materials can be referred to as a block in construction. The word "block" is used in a variety of contexts and for a variety of purposes.
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What country landed the first spacecraft on the moon?
The United States of America was the first country to land a spacecraft on the moon.
The historical event occurred on July 20, 1969, when the Apollo 11 mission successfully placed the lunar module, "Eagle," on the moon's surface. Astronauts Neil Armstrong and Edwin "Buzz" Aldrin became the first human beings to walk on the moon, while Michael Collins orbited above in the command module. This achievement marked a major milestone in space exploration and demonstrated American technological superiority during the Cold War.
This mission marked the first successful soft landing on the moon and was a major milestone in space exploration. The Luna 9 spacecraft was the first of many lunar landers and rovers sent to the moon, laying the foundation for more ambitious lunar missions such as the Apollo 11 mission in 1969, which was the first mission to put humans on the moon.
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mosquito buzzing has an intensity level of 40dB, calculate the intensity of this buzzing sound
The intensity of the buzzing sound of the mosquito will be 10⁻⁸ W/m².
What is the intensity of sound?The intensity of a sound is the power of the sound in the unit of Watts divided by the area which the sound covers in square meters. The loudness of a sound is related to the intensity of any given sound to the intensity at the threshold of hearing capacity. Intensity is measured in decibels (dB).
Intensity level = β = 40 dB
The intensity of this mosquito buzzing sound (I).
The formula to find intensity level is
β = 10 log₁₀ (I/I₁₀)
Here, we have to put the values of β and I₀ (10⁻¹² W/m²)
40 = 10 log₁₀ (I/ 10⁻¹²)
I = 10⁻¹²antilog₁₀(4)
I = 10⁻¹²× 10⁴
I = 10⁻⁸ W/m²
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if it is 10:00 a.m. in miami, florida (eastern time zone), what time is it in los angeles, california, located 3 time zones to the west in the pacific time zone? question 7 options: 2 p.m. 8 a.m. 1 p.m. 7 a.m.
Miami is in the Eastern Time Zone, which is 3 hours ahead of the Pacific Time Zone. So, if it is 10:00 a.m. in Miami, it would be 7:00 a.m.
In Los Angeles, California. This can be calculated by subtracting the time difference of 3 hours from the time in Miami.
It's important to note that Daylight Saving Time (DST) is observed in some parts of the United States, including Florida but not California. During DST, the time is advanced by 1 hour to make better use of longer daylight hours. However, it is not specified whether DST is in effect for Miami in this question. If DST is in effect, then the time in Miami would be 9:00 a.m. instead of 10:00 a.m., and the time in Los Angeles would be 6:00 a.m.
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for newtonian fluids, the viscosity of the fluids do not vary with the temperature. is the statement true or false?
It is false to say that the viscosity of Newtonian fluids does not change with temperature.
A Newtonian fluid is one in which the local strain rate, or the rate of change of its deformation over time, is linearly connected to the viscous stresses resulting from its flow at every place. The rate at which the fluid's velocity vector changes determines how much stress is there.
The viscosity of Newtonian liquids is temperature-dependent, meaning that the viscosity reduces as the temperature rises. Generally speaking, the higher the viscosity, the faster the viscosity drops as the temperature rises.
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two clean, parallel glass plates (hydrophilic) are placed 1.5 mm apart and dipped into the water. what height will the meniscus inside the plates reach?
Meniscus height is [tex]9.79 * 10^-3[/tex] m which can be calculated by relation between surface tension, liquid density and acceleration due to gravity.
It is given that d = 1.5 mm
Meniscus height can be calculated as:
h = [tex](2T)/dPg[/tex]
where T: Surface Tension
P: Liquid density
g = 9.8 [tex]m/s^{2}[/tex]
T = [tex]72 * 10^-3 N/m[/tex] that is applicable to water
P = [tex]10^3 kg/m^3[/tex]
g = 9.8 [tex]m/s^2[/tex]
d = [tex]1.5 * 10^-3 m[/tex]
Plug these values in equation h = [tex](2T)/dPg[/tex]
h = [tex](2*72*10^-3 N/m)/(1.5*10^-3m * 10^3 kg/m^3 * 9.8 m/s^2)[/tex]
h = [tex]9.79 * 10^-3 m[/tex]
Therefore, meniscus height is [tex]9.79 * 10^-3[/tex] m
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The bending of light as it passes through one optical medium to another optical medium is called refraction
Answer:
do u want the definition of refraction?
Explanation:
Refraction is defined as the phenomenon of bending of light ray when it travels from one medium to another of refractive index.
The fact that we always see the same face of the moon tells us that the moon:________
The fact that we always see the same face of the moon tells us that the moon has synchronous rotation.
This means that the moon rotates on its axis at the same rate that it orbits the Earth, that the same side always faces us.
The reason for this is thought to be due to gravitational tidal forces from the Earth, which slowed down the moon's rotation and eventually caused it to become locked in this synchronous rotation.
As a result, the same side of the moon is always visible from the Earth, while the far side is hidden and only visible from spacecraft that have traveled to the moon. This has led to a wealth of scientific discoveries and a greater understanding of the moon's history and evolution.
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a vacuum gauge connected to a chamber reads 36 kpa at a location where the atmospheric pressure is 100 kpa. determine the absolute pressure in the chamber in kpa.
The chamber has an absolute pressure of 64 kPa.
Absolute pressure is the force that exists in a space when there is no matter present, or when there is a perfect vacuum. This absolute zero serves as the baseline for measurements in absolute pressure. The measurement of barometric pressure is the greatest illustration of an absolute referenced pressure.
By deducting the ambient pressure from the vacuum gauge measurement, the absolute pressure inside the chamber can be calculated:
Atmospheric pressure minus the vacuum gauge reading gives the chamber's absolute pressure.
absolute pressure in the chamber is
=>100 kPa - 36 kPa
=> 64kPa
Therefore, 64 kPa is the chamber's absolute pressure.
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A block of wood is floating with one half of its volume out of the water. Then it is pushed down so that it is completely underneath the water. Use your understanding of buoyant force and Archimedes' principle to determine what happens to the forces on the block of wood.A. The buoyant force on the block is the same in the two cases because the weight per unit volume of the wood has not changed.B. The buoyant force on the block is the same in the two cases because the weight per unit volume of the water is the same in each case.C. The buoyant force on the block is greater when the block is completely submerged than it is when the block is floating.D. The buoyant force on the block is greater when it is floating than when it is totally submerged.E. The buoyant force on the block is the same in the two cases because the block loses weight as it is submerged.
Option D, Half of a chunk of wood floats on the surface of the sea. Then it is forced downward until it is submerged entirely.
Understand the effects of the forces on the block of wood using the concepts of buoyant force and Archimedes' principle.
A. Because the weight of the wood per unit volume has not changed, the buoyant force on the block is the same in the two scenarios.
B. Because the weight of the water per unit volume is the same in both situations, the buoyant force on the block is the same in both.
C. When a block is totally submerged, the buoyant force acting on it is stronger than when the block is just partially submerged.
D. When the block is floating, its buoyant force is stronger than when it is submerged.
E. Because the block loses weight as it is submerged, the buoyant force on it is the same in both circumstances.
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what was the definition of a planet according to copernicus? group of answer choices an object that orbits the sun. an object that wanders across the zodiac. an object that orbits a star, is massive enough to be round, and dominates its orbital region.
Each one of the planets then known to exist were said to revolve around the Sun, not really the Earth, according to Copernicus' theory that the Solar system was the solar system's center of gravity.
How was the planet formed?Around the young sun, 4.6 billion years ago, a mixture dust and gas gave rise to the Earth. It expanded as a result of numerous collisions with asteroids, dust particles, and other expanding planets, including one final massive impact that flung enough rock, ice, and dust into gravity to create the moon.
What is the name of the orbit's farthest point?The point in an object's orbit where it is farthest from the Sun is known as the aphelion in astronomy. Early in July, when Earth is in its aphelion,it has moved away from the Sun by around 4,800,000 kilometres (3,000,000 miles) since early January, when it was at its perihelion.
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What was the acceleration of the javelin during the throw? Assume that it has a constant acceleration. Express your answer to two significant figures and include the appropriate units. A javelin thrower standing at rest holds the center of the javelin behind her head, then accelerates it through a distance of 70 cm as she throws. She releases the javelin 2.0 m above the ground traveling at an angle of 30° above the horizontal Top-rated javelin throwers do throw at about a 30 angle, not the 45 you might have expected because the biomechanics of the arm allow them tothrow the javelin much faster at 30 °than they would be able to at 45. In this throw, the javelin hits the ground 55 m awayRequired:What was the acceleration of the javelin during the throw? assume that it has a constant acceleration?
Let the speed with which the javelin was thrown be u Angle of throw (θ) = 30°,Vertical acceleration (ay) = -9.8 m/s2,Distance over which the javelin was accelerated before throwing (S) = 70 cm = 0.7 m, a = 418.22 m/s2.
How is the javelin throw calculated?The throw's length is calculated by measuring it to the closest centimeter from the mark's location to the inner surface of the scratch line (the runway opposite of the line).The javelin mark that is closest to the scratching line should be where the zero side of the tape is placed.
What physical principles govern javelin throw?The drag force as well as the lift force are the forces pushing against the javelin as it moves.The lift force operates vertically to the axis of the flight, whereas the drag force generally functions as a resistive force or acts against the path of the flight.
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compound light microscopes have an electric light source. you can regulate the amount of light that passes through the stage by turning or manipulating the .
A compound light microscope is a type of microscope that enlarges an item so that its details may be studied.
What is light?The electromagnetic radiation that is visible to the human eye. At a constant speed of 299,792,458 meters per second, light moves through space with both wave-like and particle-like characteristics (in a vacuum).
A compound light microscope's major parts are an objective lens, mounted below the stage, which enlarges the image, and an eyepiece lens, mounted above the stage, which enlarges the image even more for the viewer.
A compound light microscope features an electric light source, which produces a constant and controllable amount of light, in contrast to conventional microscopes, which rely on natural light sources.
The amount of light that filters through the stage and the specimen can be adjusted by twisting a knob or moving a lever on this electric light source. This function is crucial since uneven lighting might make it difficult to see the specimen and generate glare and washed-out images.
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ANSWER ASAP:
Two sound waves arrive at the same place at the same time and become amplified. Which type of wave behavior is exhibited?
A, Diffraction
B, Refraction
C,Reflection
D, Interference
The wave behavior exhibited will be diffraction. Then the correct option is A.
What is the Diffraction?Diffraction is the interfering or twisting of waves via an aperture into the area that is geometrically in the shadow of the obstruction or aperture. Effectively, the wave's secondary data collection is the diffracting element or aperture.
Diffraction is the technique by which a wavelength of light or other wave system is dispersed as a result of passing through a small aperture or across an edge. Usually, interference between the generated waveforms occurs in conjunction with diffraction.
Two sound waves arrive at the same place at the same time and become amplified.
The wave behavior exhibited will be diffraction.
Thus, the correct option is A.
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of the two premises in the cause and effect argument for god's existence, skeptics are most likely to challenge the second premise. what five points (all from science) back the second premise up (the universe began to exist)?
The five points (all from science) to back the second premise up (The universe began to exist) are:
Einstein's theory of General Relativity
Galaxy seeds
Second Law of Thermodynamics
Expanding universe
Radiation echo
What is thermodynamics?
The four principles of thermodynamics, which give a quantitative description using quantifiable macroscopic physical variables but may be interpreted in terms of microscopic elements by statistical mechanics, regulate how these quantities behave. Physical chemistry, biochemistry, chemical engineering, mechanical engineering, and other complicated subjects like meteorology are just a few of the topics in science and engineering where thermodynamics is relevant.To know more about thermodynamics, click the link given below:
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The diagram below shows two different forces acting on a cyclist riding a bicycle.
The total mass of the cyclist and the bicycle is 100.0 kg. Based on this information, what is the
acceleration of the cyclist?
The acceleration of cyclist is determined as 0.66 m/s².
What is the acceleration of the cyclist?The acceleration of the cyclist is calculated by applying Newton's second law of motion as follows;
F (net) = ma
where;
F (net) is the net force on the cyclistm is the mass of the cyclista is the acceleration of the cyclistThe net force on the cyclist is calculated as;
F (net) = 150 N - 84 N = 66 N
The acceleration of cyclist is calculated as follows;
a = F (net) / m
a = 66 N / 100 kg
a = 0.66 m/s²
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a barge 20 ft wide and 40 ft long is loaded with rocks as shown. assume that the center of gravity of the rocks and barge is located along the centerline at the top surface of the barge. if the rocks and the barge weigh 400,000 lbf, will the barge float upright or tip over?
According to the hydrodynamic stability, the metacentric height is positive. Thus, the barge is will float stable.
Draft= W / Aρ
Here weight of barge is W, area of the barge is A, and density of water is ρ.
Substitute 400,000 lbf for W, 20 ft for l, 40 ft for b, and 62.4 lbf ft³.
Draft= 400000 / (lxb)×624
= 400000/(20×40)×62.4
= 8.0128ft
≈ 8ft
Thus, the depth of draft is 8.0 ft. Hence, it is satisfactory.
Determine the metacentric height (GM) using the formula:
GM= I/v - C.G
=. bxd³/12 / (hxbxd) - (h - h/2)
Here, moment of inertia is I, volume of the barge is V, center of gravity is CG, and height is h, width is b, and depth is a respectively.
Substitute 20 ft for d, 40 ft for b, 4.0 ft for C.G, and 8.0 ft for h
40x20³/12 / (8.0x40x20) - (8.0- 8.0/2)
=4.167-4.0
= 0.167 ft
Thus, the metacentric height is 0.167 ft.
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an artificial object that can be imaged to test the performance and quality of a magnetic resonance system would be:
Phantom is an artificial object that can be imaged to test the performance and quality of a magnetic resonance system.
Magnetic Resonance system is a non-invasive imaging technology used to investigate anatomy and function of the body in both health and disease without the use of damaging ionizing radiation. It is often used for disease detection, diagnosis, and treatment monitoring. It is based on sophisticated technology that excites and detects changes in protons found in the water that makes up living tissues.
A phantom is usually a fluid-filled container or bottle often filled with a plastic structure of various sizes and shapes.
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as i slide a box at constant speed up a frictionless slope, pulling parallel to the slope, the tension in the rope will be:
The strain in the rope will be less than the weight of the box when I pull parallel to the hill while sliding a box up it at a consistent speed.
We can observe from the preceding figure that the sine component of weight balances the tension force. Additionally, because the box is travelling at a constant speed, the block experiences no acceleration, and as a result, there is no net force acting on the block. (The block is in static equilibrium, for example) The force balancing equation may be written as T - mgsin0 =0=T= mgsin0 (a) The amount of strain won't be more than it would be if the box were stationary because there isn't any friction present in this situation.
(b,c,d) We may assume that the tension T will be smaller than the weight of the box since sin theta is between -1 and 1. Thus, the appropriate choice is (d)
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