The period of the block's mass is changed by a factor of √2 when the mass of the block was doubled.
The time period T of the block with mass M attached to a spring of spring constant K is given by,
T = 2π(√M/K).
Let us say that, when we increased the mass to 2M, the time periods of the block became T', the spring constant is not changed, so, we can write,
T' = 2π(√2M/K)
Putting T = 2π(√M/K) above,
T' =√2T
So, here we can see, if the mass is doubled from it's initial value. The time period of the mass will be changed by a factor of √2.
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A free-fall parachutist eventually reaches a top speed where air resistance prevents further acceleration. What name is given to this ‘top speed'?
The name given to it is "terminal velocity".
In reality, it isn't a velocity, and it doesn't happen in free-fall.
Go figure.
A cable in which there is 12500 N of tension force supports an elevator. What is the magnitude
and direction of the acceleration of the elevator if its total mass is 1175 kg?
Answer:
a = 10.638m/s^2 in a vertical direction, up 90 degrees from the x axis
Explanation:
Givens:
F_t = 12500N
w = 1175kg
g = -9.81m/s^2
F = m(a)
F_w = m(g)
So taking the weight of the elevator and multiplying it with gravity we get:
F_w = 1175(-9.81)
F_w = -11526.75N
So since the weight of the elevator and the acceleration of gravity would result in 11526.75N of force down the cable would have the opposite force pulling up 11526.75N but it doesn't it has more force then that so the elevator is producing enough force to defeat gravity and move upwards. So now we take our total force and subtract the force of the weight on the cable.
12500N-11526N = 973.25N
So the elevator after defeating gravity is still producing 973.25N of force upwards. So now we take the equation for force and rearrange it:
F = m(a)
a = F/m
a = 0.828m/s^2
But this is in addition to countering the gravity so add 9.81m/s^2 to this and you get
a = 10.638m/s^2 in a vertical direction, up 90 degrees from the x axis
A motorcycle has a constant acceleration of 2.5 meters per second squared
Both the velocity and acceleration of the motorcycle point in the same direction
How much time is required for the motorcycle to change its speed from 21 to 31 m/s z
Answer:
\(given \\ accelaration (a)= 2.5 \frac{m}{ {s}^{2} } \\ initial \: velocity(u) = 21 \frac{m}{s} \\ final \: velocity(v) = 31 \frac{m}{s} \\ we \: want \: find \: time \\ newtons \: equation \: of \: motion \: v = u + at \\ 31 = 21 + 2.5 \times t \\ 31 - 21 = 2.5t \\ 10 = 2.5t \\ \frac{10}{2.5} = t \\ t = 4sec\)
What photon wavelength will cause an electron to be emitted from a metal surface with kinetic energy 50 eV
A photon with a wavelength of approximately 203 nm can cause an electron to be emitted from a metal surface with a kinetic energy of 50 eV, assuming the metal has a work function of 4 eV.
hν = \(E_k\) + φ
\(E_k\) = 50 eV x (1.602 x \(10^{-19\)J/eV) = 8.01 x \(10^{-18\) J
Assuming the metal has a work function of 4 eV (typical for many metals), we can rearrange the equation to solve for the frequency of the photon:
ν = (\(E_k\) + φ) / h
ν = (8.01 x \(10^{-18\) J + 4 eV x (1.602 x \(10^{-19} J\)/eV)) / 6.626 x \(10^{-34}\)J.s
ν = 1.47 x \(10^{15\) Hz
The wavelength of the photon can be calculated using the formula:
λ = c / ν
where c is the speed of light (3.00 x \(10^8\) m/s):
λ = 3.00 x \(10^8\) m/s / 1.47 x \(10^{15\)Hz
λ ≈ 203 nm (nanometers)
Wavelength is the distance between two consecutive peaks or troughs in a wave. It is typically denoted by the Greek letter lambda (λ) and is measured in units of length, such as meters (m) or nanometers (nm). Wavelength is an important characteristic of all types of waves, including light waves, sound waves, and electromagnetic waves.
The wavelength of a wave is determined by its frequency and speed. Higher-frequency waves have shorter wavelengths, while lower-frequency waves have longer wavelengths. Similarly, waves traveling at higher speeds have longer wavelengths, while waves traveling at lower speeds have shorter wavelengths. The concept of wavelength is fundamental to many areas of physics, including optics, quantum mechanics, and electromagnetism.
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A spaceship is at a distance R1 = 10^12 m from a planet with mass M1. This spaceship is a a distance R2 from another planet with mass M2 = 25 × M1. The spaceship is between these two planets such that the magnitude of the gravitational force due to planet 1 is exactly the same as the magnitude of the gravitational force due to planet 2. What is the distance between the two planets?
To find the distance between the two planets, we can set up an equation using the gravitational force formula and the given information. By equating the magnitudes of the gravitational forces exerted by each planet on the spaceship, we can solve for the distance between the two planets.
The gravitational force between two objects can be calculated using the equation F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
In this scenario, we have two planets with masses M1 and M2, and a spaceship located between them. The gravitational forces exerted by each planet on the spaceship are equal in magnitude.
Setting up the equation for the gravitational forces, we have:
G * (M1 * m) / R1^2 = G * (M2 * m) / R2^2
Simplifying the equation and substituting the given values, we can solve for the distance R2 between the two planets.
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What are three biotic factors that can affect an organism after death?
Answer:
the three are scavengers predators and decomposers
Explanation:
The three biotic factors that can affect an organism after death are scavengers, predators, and decomposers that can breakdown and destroy the organism. an abiotic factor that can prevent the organism from becoming preserved after it has been buried would be groundwater.
A car traveling at 50 m/s comes to a stop in 5 seconds. What is the
acceleration of this?
Answer:
10
Explanation:
10 is the answer because you divide 50 and 5 and your answer is 10.
Hope this helps:)
Pls mark brainlist
Answer:
a = -10m/s²
Explanation:
Givens:
Vf = 0m/s
Vi = 50m/s
t = 5s
Use the following kinematic equation:
Vf = Vi+at
Rearrange
a = (Vf-Vi)/t
a = -10m/s²
Over the course of a year, stars should appear to move back and forth, with stars closer to us moving a larger distance.
This is a description of the apparent motion of stars due to Earth's axial tilt and revolution around the sun.
What is distance?Distance is a scalar quantity that represents the magnitude of separation between two points in space. It is the length of the path between two points, and is measured in units such as meters, kilometers, miles, etc. Distance is fundamental to the concept of spatial location and helps describe the relative positions of objects in three-dimensional space.
Here,
The apparent motion of the stars is due to the combination of the Earth's rotation on its axis and its revolution around the sun. As the Earth rotates, the stars appear to move across the sky in a west-to-east direction, and as the Earth revolves around the sun, the stars appear to move in a circular path, which is known as the apparent motion of the stars. The apparent motion of stars closer to us is greater than that of stars that are further away because of the closer proximity to Earth.
This apparent motion is also affected by the Earth's axial tilt, which causes the stars to appear to move in an elliptical path throughout the year.
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(iii) a particle revolves in a horizontal circle of radius 1.95 m. at a particular instant, its acceleration is , in a direction that makes an angle of 25.0° to its direction of motion. determine its speed (a) at this moment, and (b) 2.00 s later, assuming constant tangential acceleration.
The speed of the particle at this moment is \(\(\sqrt{a \cdot 1.95}\)\) m/s, and 2.00 s later, the speed will be \(\(\sqrt{a \cdot 1.95} + a \cdot 2.00\) m/s.\)
At a particular instant, the particle is moving in a horizontal circle with a radius of 1.95 m. The acceleration of the particle makes an angle of 25.0° to the direction of its motion. We can use the concept of centripetal acceleration to determine the speed of the particle at this moment.
(a) The centripetal acceleration of a particle moving in a circular path is given by the equation:
\(\[a = \frac{v^2}{r}\]\)
Where \(\(a\)\) is the centripetal acceleration,\(\(v\)\) is the speed of the particle, and \(\(r\)\)is the radius of the circle.
In this case, the given acceleration \((\(a\))\) is the centripetal acceleration. We need to find the speed \((\(v\))\) at this moment. To find the speed, we rearrange the equation as follows:
\(\[v = \sqrt{a \cdot r}\]\)
Substituting the values, we get:
\(\[v = \sqrt{a \cdot 1.95}\]\)
Now, substitute the given acceleration and solve for \(v\):
\(\[v = \sqrt{a \cdot 1.95}\]\)
Therefore, the speed of the particle at this moment is \(\(\sqrt{a \cdot 1.95}\) m/s.\)
(b) Assuming a constant tangential acceleration, we can use the kinematic equation:
\(\[v = u + at\]\)
Where \(\(v\)\) is the final velocity, \(u\) is the initial velocity, \(a\) is the acceleration, and \(\(t\)\) is the time.
In this case, the initial velocity \((\(u\))\)is the speed of the particle at the previous moment, which we have already determined in part (a). Substituting the values, we get:
\(\[v = \sqrt{a \cdot 1.95} + a \cdot 2.00\]\)
Simplifying this equation will give us the speed of the particle 2.00 s later.
In conclusion, the speed of the particle at this moment is \(\(\sqrt{a \cdot 1.95}\)\) m/s, and 2.00 s later, the speed will be \(\(\sqrt{a \cdot 1.95} + a \cdot 2.00\) m/s.\)
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A car of mass of 1200 kg is driven around a corner of a radius of 45m at 15 ms-1
.
(a) Calculate the acceleration of the car.
(b) Calculate the centripetal force acting on the car.
(c) Explain how the centripetal force is being produced.
Explanation:
w = v/r
= 15/ 45 = 1/3 rads-¹
a = w²r
= 1/9 • 45 = 5 ms-²
F = mv²/r
= 1200• 15• 15/45
= 6000N
The car, when rounding the curve, is pulled towards the center by the friction between it's wheels and the road.
The Sun appears in front of a different constellation each month due the___________{blank}
The Sun appears in front of a different constellation each month due to the Earth's orbit around the Sun.
As the Earth moves in its orbit, it changes its position relative to the Sun and the background of stars. This causes the Sun to appear to move against the backdrop of the stars, resulting in a different constellation being visible behind it each month. The constellations we can observe depend on our position in the orbit at a given time, so the Sun appears to move through different constellations as the months pass. In addition, due to the tilt of the Earth's axis, the constellations we see also change throughout the year. This is why we observe different constellations in the winter than in the summer.
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PLEASE HELP A SIS OUT 30 POINTS
What happens when the plume of an eruption begins to fall? In your own words pleasee
Answer:
Eruption plume, a column of hot volcanic ash and gas emitted into the atmosphere during an explosive volcanic eruption. Mantle plume, an upwelling of abnormally hot rock within the Earth's mantle, which can cause volcanic hotspots.
Explanation:
teehee love your pfp
Answer:
in this case destruction is obvious also there might be some reaction take place
The least common denominator of 1/2, 1/6, and 1/9
Explain what was ultimately responsible for London’s “killer fog” in 1952.
Answer:
possible answer from edge
Explanation:
After World War II the only coal available to burn residentially, either for cooking or warmth, was of poor quality and contained large amounts of contaminants that made its fumes toxic. So when millions of homes in London burned this low quality coal and the local atmosphere over and around London stagnated, there was nowhere for the fumes to go. This stagnation allowed the toxic coal fumes to build up until they became physically harmful to humans and animals.
Burning of low quality coal was ultimately responsible for London’s “killer fog” in 1952.
What is Coal?This is a type of sedimentary rock which is combustible and contain high amounts of carbon and hydrocarbon.
The low quality coal contained a lot of contaminants which was released into the atmosphere thereby creating the “killer fog” which adversely affected residents.
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to refocus, should the lens be moved closer to or farther from the detector? explain.
To refocus, the lens should be moved either closer to or farther from the detector depending on the type of lens being used.
In general, moving the lens closer to the detector will result in a closer focus, while moving the lens farther away will result in a farther focus. This is because lenses work by bending and refracting light to create a focused image on the detector. The distance between the lens and the detector affects the angle at which light passes through the lens, which in turn affects the way the light is refracted and focused. For a convex lens (a lens that bulges outward in the middle), moving the lens closer to the detector will result in a closer focus, while moving the lens farther away will result in a farther focus. For a concave lens (a lens that curves inward in the middle), the opposite is true: moving the lens closer to the detector will result in a farther focus, while moving the lens farther away will result in a closer focus.
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You drive 20 meters forward and then 10 meters backwards in 30 seconds. What is your average speed?
Answer:
10
Explanation:
a.s = D÷T
= (20+10=30)30÷30
=10
1 m/s is my average speed.
What is average speed?Average speed is the total distance travelled by an object to the total time taken.
i.e.
Average speed = Total distance travelled /Total time taken
\(\overline{v}\) = Δx/Δt
According to the question.
Total distance travelled by me = 20m +10m = 30m
Total time taken by me = 30 sec
By using the formula of average speed
\(\overline{v}\) = Δx/Δt
= \(\frac{30m}{30s}\)
=1 m/s
Hence,1 m/s is my average speed.
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Which of the following statements is true about Metabolism?
Question 4 options:
Your metabolism speeds up naturally as you get older
Your metabolism is not affected your heredity, age, and maturation
You can never speed up or slow down your body's metabolism
Your basal metabolism is the amount of energy (calories) your body uses just to keep you living.
Answer:
I believe it's
D. Your basal metabolism is the amount of energy (calories) your body uses just to keep you living.
Explanation:
The statements about Metabolism is true as your basal metabolism is the amount of energy (calories) your body uses just to keep you living.
MetabolismMetabolism is the process when our body converts food into energy.
Human bodies need the energy to do activities like daily activities.
Metabolism is the chemical reactions in the cells of the body that change food into energy.
Thus option D is the correct answer.
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A person can see clearly up close, but cannot focus on objects beyond 82.0cm . She opts for contact lenses to correct her vision.
Part A
Is she nearsighted or farsighted?
Is she nearsighted or farsighted?
She is nearsighted.
She is farsighted.
Part B
What type of lens (converging or diverging) is needed to correct her vision?
What type of lens (converging or diverging) is needed to correct her vision?
Converging lens.
Diverging lens.
Part C
What focal-length contact lens is needed ?
f = cm
Part D
What is the power of the contact lens in diopters?
D = diopters
A person who can see clearly up close but cannot focus on objects beyond A: 82.0 cm is nearsighted. To correct her vision, B. she needs a converging lens with C. a focal length of -82.0 cm. D. The power of the contact lens required is -1.22 diopters.
Based on the given information, the person can see clearly up close but has difficulty focusing on objects beyond 82.0 cm. This characteristic indicates nearsightedness, also known as myopia. In nearsightedness, the eye's focal point falls in front of the retina, causing distant objects to appear blurry.
To correct nearsightedness, a converging lens is needed. A converging lens is thicker in the center and causes light rays to converge, thus shifting the focal point farther back. In this case, since the person is unable to focus on objects beyond 82.0 cm, a converging lens is required to shift the focal point back to the retina.
The focal length of the contact lens needed can be determined by the formula 1/f = 1/v - 1/u, where f is the focal length, v is the image distance (distance to the retina), and u is the object distance (distance to the lens). Since the object distance (u) is infinity for distant objects, the formula simplifies to 1/f = 1/v. By substituting v = -82.0 cm, we can solve for f, which gives a focal length of -82.0 cm.
The power of a lens is given by the formula P = 1/f, where P is the power of the lens in diopters and f is the focal length in meters.
Converting the focal length of -82.0 cm to meters (-0.82 m) and plugging it into the formula, we find the power of the lens to be -1.22 diopters. The negative sign indicates that the lens is concave and diverging.
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Which of the following processes puts carbon from a forest
floor back into the atmosphere?
Answer:
earth process meaning subduction
a man shoveling snow clears his front step using 200 joules in 100 seconds, how much power did he use
2 watts
20,000 watts
100 watts
300 watts
Answer:
2 watts
Explanation:
the movement of energy through substances in longitudinal waves is
The movement of energy through substances in longitudinal waves is when the particles of a medium oscillate in the direction of the wave movement, creating compressions and rarefactions of the medium.
The movement of energy through substances in longitudinal waves is the energy that is transmitted through a medium by particles that oscillate back and forth in the same direction as the wave motion. Longitudinal waves can travel through solid, liquid, and gaseous mediums. When a longitudinal wave moves through a medium, the individual particles in the medium oscillate back and forth parallel to the direction of wave propagation.
A longitudinal wave is also known as a compressional wave or a pressure wave. It can be defined as a wave in which the particle oscillations are parallel to the direction of wave propagation. A classic example of a longitudinal wave is a sound wave, which is a mechanical wave that travels through air, water, or solids as a series of compressions and rarefactions. When a sound wave travels through a medium, the particles of the medium oscillate back and forth in the direction of the wave movement, creating compressions and rarefactions of the medium. The compressions are areas of high particle density, while the rarefactions are areas of low particle density.
In conclusion, the movement of energy through substances in longitudinal waves is when the particles of a medium oscillate in the direction of the wave movement, creating compressions and rarefactions of the medium. Longitudinal waves can travel through solid, liquid, and gaseous mediums, and are often associated with sound waves.
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what did newton do in an attempt to separate the visible light spectrum?
Answer:
He used a prism.
Explanation:
Newton set up a prism near his window, and projected a beautiful color spectrum 22 feet onto the far wall.
Three point charges are placed at the corners of an equilateral triangle. Assuming only electrostatic force are acting A.if the charges have different magnitudes and different signs, the system will be equilibrium
B.the system will be in equilibrium if the charges have the same magnitudes but different signs.
C.the system can never be in equilibrium
D.the system will be in equilibrium if the charges rotate about the centre of the triangle.
The equilateral triangle's corners. The system will be in equilibrium if the charges rotate about the triangle's center, assuming that only electrostatic force is at play.
Where do forces come from?The interactions of two (or more) things result in forces. Each applies an equal but opposing power to the other. The object is propelled by external forces. The object's overall motion is unaffected by an interior force.
What features does force have?The characteristics of lines of force are that they begin at a positive charge and end at a negative charge, that they never cross paths with one another, that they are proportional to charge, and that they cannot pass through a conductor.
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Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry? 3Q Q/2 Q/3 Q
Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, Each capacitor will carry a charge of Q/3.
A capacitor is a two-terminal electrical device that can store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.capacitor, device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other. A simple example of such a storage device is the parallel-plate capacitor.
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A motorcycle enters a freeway with a speed of 5.8 m/s and accelerates uniformly for 65 m in 7.2 s.
How fast is the car moving after this time?
The speed of the motorcycle is 9.02777m/s in 7.2 sec.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
v(0) = 5.8
s(0)=0
s(7.2) = 65
s(t) =at^2/2 + v(0)t
s(7.2) = a(7.2)^2 + 5.8(7.2) = 65
a = (65-41.76)/51.84
a= 23.24/51.84 = about 0.4483 m/s²
v(t) = s'(t) = at +v(0) = at +5.8
v(7.2) = 0.4483(7.2) + 5.8
= 9.02777
velocity in 7.2 seconds is about 9.03 meters per second
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a thin rod of length 3.15 m and mass 12.7 kg is rotated at an angular speed of 3.60 rad/s around an axis perpendicular to the rod and through one of its ends. find the magnitude of the rod's angular momentum.
The magnitude of the rod's angular momentum is 165.92 \(Kg m^{2} s^{-1}\).
The moment of inertia for the rod through an axis 'perpendicular' to one of its ends is given by :
\(I=\frac{Ml^{2} }{3}\) (where M = mass of rod , l = length of rod)
Now, the angular momentum of the rod is given by;
L= Iω
= \(\frac{Ml^{2} }{3}\)×ω
=\(\frac{12.7Kg * (3.15 m^{2})}{3}\)* \(3.95 rad s^{-1}\)
= 165.92 \(Kg m^{2} s^{-1}\)
∴ The required angular momentum is: 165.92 \(Kg m^{2} s^{-1}\)
As the rotating equivalent of linear momentum in physics, angular momentum (rarely a moment of momentum or rotational momentum) is used. It is a conserved quantity, meaning that in a closed system, the total angular momentum stays constant, making it a significant physical quantity. The magnitude and direction of angular momentum are both conserved. The conservation of angular momentum is responsible for the useful characteristics of bicycles, motorcycles, frisbee-lead bullets, and gyroscopes. Hurricanes develop spiral structures and neutron stars rotate rapidly due to the conservation of angular momentum. Conservation generally sets a limit on a system's potential motion but does not determine it in any way.
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A(n) _____ is made of magnetic materials and has a static magnetic field.electromagnetgeomagnetpermanent magnetAll of the above
A(n) permanent magnet is made of magnetic materials and has a static magnetic field.The correct answer is c) permanent magnet.
Magnets can be found in a wide range of shapes and sizes, from small bar magnets to large electromagnets used in industrial applications. The strength of a magnet is measured in units of magnetic flux density, or Tesla (T), and magnets can range in strength from a few tenths of a Tesla to several Tesla.
Magnets have many practical applications, from simple fridge magnets to complex medical imaging machines. They are used in motors and generators to convert electrical energy into mechanical energy, and vice versa. They are also used in magnetic data storage devices, such as hard drives and magnetic tape, to store digital information.
In addition to their practical applications, magnets have also fascinated humans for centuries and have been the subject of scientific study and experimentation. They have been used in compasses for navigation, and their behavior has been studied in various scientific fields, including physics, chemistry, and materials science.Electromagnets, on the other hand, use electrical current to create a magnetic field, and geomagnetic refers to the Earth's magnetic field.
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A permanent magnet is made of magnetic materials and has a static magnetic field. Permanent magnets are objects that can maintain their magnetic properties for an extended period of time without an external power source. These magnets are typically made from materials such as ferrite, alnico, or rare-earth metals, which have strong magnetic properties.
Electromagnets and geomagnets, although related to magnetism, are not the correct terms for a magnet with a static magnetic field. Electromagnets are created by passing an electric current through a wire coil, generating a magnetic field. This type of magnetism is temporary and can be turned on and off with the presence or absence of an electric current.
Geomagnetism, on the other hand, refers to the Earth's magnetic field, which is generated by the planet's core. This field is essential for many processes, such as navigation, and affects various natural phenomena like the aurora borealis. However, geomagnetism is not directly associated with a specific magnetic material.
In summary, a permanent magnet is the appropriate term for a magnet made of magnetic materials and possessing a static magnetic field. Electromagnets and geomagnets are related to magnetism but are not the correct terms to describe a magnet with a static field.
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A hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magni- tude g/4. After time interval At, a crew member releases a ballast sandbag from the basket attached to the balloon. How many seconds does it take the sandbag to reach the ground?
The time it takes for the sandbag to reach the ground would depend on the height from which it was released.
To find out how long it takes for the sandbag to reach the ground, we can use the equation of motion for a vertically falling object under the influence of gravity:
s = v0*t + (1/2)gt^2
where s is the distance fallen, v0 is the initial velocity (which is 0 m/s for the sandbag), t is the time elapsed, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
We know that the sandbag is being released from the balloon and has an upward acceleration of g/4. So, the equation of motion becomes
s = v0t + (1/2)(g - g/4)*t^2
We also know that s is the distance fallen to the ground, which we can take as the final distance.
Now solving the equation for t
t = sqrt(2*s/(g-g/4))
It is given that the magnitude of the upward acceleration is g/4, so (g-g/4) = 3g/4, so the final equation becomes
t = sqrt(2*s/(3g/4))
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100 POINTS!!! :D
Write a scientific explanation that describes the interaction between the two skaters caused by the forces that they apply to each other.
Explanation:
... in every interaction, there is a pair of forces acting on the two interacting objects. The size of the force on the first object equals the size of the force on the second object. The direction of the force on the first object is opposite to the direction of the force on the second object. Forces always come in pairs - equal and opposite action-reaction force pairs.
A 50 kg crate is at rest on a horizontal floor. The coefficient of static friction between crate and floor is 0.75. The coefficient of kinetic friction is 0.60. What is the minimum horizontal force that is required (magnitude only) in order to start the crate moving across the floor?
A horizontal floor is the resting place for a 50 kg crate. The static friction coefficient between the floor and the crate is 0.75. Kinetic friction has a coefficient of 0.60. The minimum horizontal force required to start the crate moving is 367.5 N
To find the minimum horizontal force required to start the crate moving across the floor, we need to consider the static friction between the crate and the floor. The formula to calculate the maximum static friction is Fs = μs × N
where Fs is the maximum static friction, μs is the coefficient of static friction, and N is the normal force.
The normal force N is equal to the weight of the crate, which is given by:
N = m × g
where m is the mass of the crate and g is the acceleration due to gravity.
Substituting the values, we have:
N = 50 kg × 9.8 m/s² = 490 N
Now we can calculate the maximum static friction:
Fs = 0.75 × 490 N = 367.5 N
Therefore, the minimum horizontal force required to start the crate moving is 367.5 N (magnitude only).
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