How large is the impulse that the floor exerts on the egg is 22.15 N.
How does impulse relate to force?Impulse is related to force as it represents the change in momentum of an object as a result of a force acting over a period of time. Impulse is calculated by multiplying the force applied to an object by the time over which that force is applied. In this case, the force exerted by the floor on the egg causes a change in the egg's momentum, and the impulse is the product of this change in momentum and the time over which it occurred.
How do you calculate the impulse exerted on the floor?First step is to calculate the velocity of the egg just before hitting the floor,
v²=u²+2gh, where u=0
v²=0²+2×9.81×1.0
v²=4.43/s
Second step is to calculate the change in momentum of the egg,
Change in momentum=0.05×4.43/s
Change in momentum=0.2215 kgm/s
Third step is to calculate the force exerted on the egg by the floor using this formula,
Force exerted on the egg=Change in momentum/Time
Force exerted on the egg=0.2215/0.010
Force exerted on the egg=22.15 N
In conclusion how large is the impulse that the floor exerts on the egg is 22.15 N.
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An object is projected vertically upwards With a velocity of 200m/s.Calculate:i) It's velocity after 5 seconds
Answer:
v=150m/s
Explanation:
given
u=200m/s
t=5s
g=10m/s^2
required
v=?
solution
v=u-gt
v=200-(10)(5)
v=200-50
v=150m/s
Application of refraction of waves (at least 2 pls.Assignment to summit tomorrow and have test)
For numerous purposes, including magnification, a lens creates a picture of an object by refraction. People with poor vision use glasses that work on the refraction principle.
What is refraction?Refraction occurs when light bends or changes direction as it passes through one material and then another. For instance, when light strikes water after passing through the air, it refracts. As a result, a straw in a glass of water may appear bent at the water's surface. Some surfaces don't refract light or reflect it.
What causes refraction to occur?Refraction occurs as a result of variations in wave speed. In a denser substance like glass, light moves more slowly (in comparison to the speed it moves in the air). To keep the frequency constant, the wavelength will also shorten. Shallower water has slower-moving waves.
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Gold ornaments look new even after several years. Give reason.
Gold ornaments look new even after several years because gold is a very stable metal and does not corrode or tarnish easily. It is also a very soft metal, which means that it does not scratch easily.
The shiny appearance of gold is due to its metallic luster, which is maintained even after many years.
Additionally, gold does not react with most chemicals, so it does not discolor or degrade over time. This means that gold ornaments can retain their original appearance for a long time.
True or False: a) In the Newton's law of gravitation, F = Gm1m2/r2, the masses m1 and m2 refer to inertial masses. b) For a cart moving along a track, with the x-axis parallel to the track, only the x-coordinate of the cart can change. c) If the cart is moving on the positive x axis, the x-component of velocity must be positive.
A) The given statement is true, Masses are inertial.
B) The given statement is true, parallel to x axis x coordinate is variable y coordinate is constant.
C) The given statement is false, x component of velocity may be positive. For a cart moving along positive x axis towards origin the x component of velocity is negative.
What is the gravitational law?Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them, according to Newton's law of gravitation.
All of the universe's material objects are subject to the force of gravity, also known as gravitation. If there is a difference in mass between any two objects or particles, gravity will tend to pull them in that direction.
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the wrecking crane shown below is moving toward a brick wall which is to be torn down. at what point in the swing of the wrecking ball should the ball make contact with the wall to make a collision with the greatest kinetic energy?
The ball should make contact with the wall at point (3) in order to to make a collision with the greatest kinetic energy.
What is Simple Harmonic Motion?Any oscillatory motion can be considered a simple harmonic motion if –{1} : If the acceleration of the oscillating body is directly proportional to its displacement from the mean position.
{2} : And the direction of the acceleration vector (a) is towards the mean position.
{3} : For a body undergoing simple harmonic motion, we can write
Displacement : x(t) = a sin(ωt + ϕ)Velocity : v(t) = ωa cos(ωt + ϕ)Acceleration : a(t) = -ω²a sin(ωt + ϕ)Potential Energy : U = (1/2) mω² a² sin²(ωt + ϕ)Kinetic Energy : K.E = (1/2) mω² a² cos²(ωt + ϕ)Total Energy : T = (1/2) mω² a²Given is the wrecking crane shown below is moving toward a brick wall which is to be torn down.
The wrecking ball is undergoing simple harmonic motion. Now, the Kinetic energy of the wrecking ball is maximum at point (3). The potential energy of the ball will be maximum and same at the points (1) and (4). At point (2), the energy will be 50% Kinetic and 50% potential.
E{1} = E{2} = U {max}E{3} = K.E. {max}E{2} = U{50%} + K.E.{50%}Therefore, the ball should make contact with the wall at point (3) in order to to make a collision with the greatest kinetic energy.
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For which of the regions shown in the figure is the observed effect the strongest? Region B Region CThe observed effect is the same for all three regions Region A
A region. Since Region A has the most severe temperatures and the most dramatic changes in temperature over time, the observed effect is largest there.
How does temperature work?
Temperatures describe how hot or cold something is to a specific degree. Both Celsius and Fahrenheit are frequently used units of measurement, with Celsius being the more popular one.
With typical temperatures between -40 and 40 degrees Celsius, temperatures can fluctuate from extremely cold to extremely hot. Numerous variables, such as height, latitude, and closeness to the water, can influence temperature. It is crucial to be aware of the temperature in a specific place before going because various climates might experience drastically varying temperatures.
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Note the complete question could be as bellow,
For which of the regions shown in the figure is the observed effect the strongest? O Region B O Region CO The observed effect is the same for all three regions O Region A
a force vector has a magnitude of 40 n and points at an angle of 300 above the positive x-axis. what are the x and y components of the vector (fx, fy)?
Another method for locating vector components is to use the angle measured in the opposite direction from the +x axis. Then, the x-component will always be cos and the y-component will always be sin.
What is the resultant vector's formula?
R = A + B. Instance 2 To create the resulting vector, two vectors facing the opposite direction are subtracted from one another. Here, the vector B is pointing in the opposite direction of the vector A, and the resulting vector is called R.
What is the equation for a vector's component form?
Form of Component: A vector's component form is represented as v=vx,vy, where vx is the distance between the initial and terminal points in a horizontal direction and vy is the distance in a vertical direction.
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: experiment with other values of strength and freq. to create other examples of standing waves. what values of strength and freq. lead to a standing wave with four nodes? five nodes? describe your results on a separate page.
For a standing wave with four nodes, you need a strength of 2 and a frequency. This creates a wave pattern with two loops, and four areas of minimum displacement.
what is frequency?
Frequency is a measure of how often something occurs, such as a sound wave or a particular event. It is expressed as a number of occurrences per unit time, such as vibrations per second, or as a fraction of the total number of occurrences over a specified interval, such as the proportion of a population that have a particular trait.
Frequency is an important concept in physics, engineering, mathematics, and other sciences. It is used to describe and analyze natural phenomena such as sound, light, and electricity, and to describe and analyze the behavior of systems such as mechanical, chemical, and biological systems.
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a 0.300 kg yo-yo hangs at the end of a 0.25 m long string. the yo-yo and string are whirled around such that they are rotating in a vertical plane. the velocity of the yo-yo at the top of the path is 4.00 m/s. what is the tension in the string at that top of the path?
G = 9.8 m/s2 is the gravitational acceleration. Yo-weight yo's is m = 0.3 kg. The string's length is L = 0.25 meters. Yo-top-of-the-path yo's velocity is equal to 4 m/s. At the top of the walkway, there is tension in the string.
In simple terms, what is gravitational force?
Any two mass-containing objects are attracted to one another by the gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive. d
What is gravity, and what does it look like?
The term gravitational force refers to the force that the earth exerts on a body. A ball that is tossed up goes up in the air, as do the leaves and fruits that fall from a tree downward towards the ground.
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A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer radius r2=2r1 (see the figure (Figure 1)). At the center of the sphere is a point charge +Q/2. Plot V as a function of r from r=0 to r=2r2. Assume V0=3Q8πϵ0r2.
The graph V as a function of r determines the potential of charge at different radius. This instructs how to estimate the charge-related electric field strength.
What is the hollow sphere's net charge?There won't be any net charge within the Gaussian surface if we suppose any imaginary sphere inside the charged sphere. So, Σq = 0 . So, the net flux is equal to 0. Consequently, a hollow sphere has no electric field inside of it.
Where is the charge on a conducting hollow sphere?The entire charge will be on the periphery of a conducting hollow sphere, and the electric field strength within the conducting sphere will be zero. The entire charge will reside on the shell's outside in the case of a spherical shell, and there will be no interior field as well.
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Michael walked his dog on a leash every morning and afternoon. One morning, his dog saw a squirrel and started to dash after it. Michael held the leash
more firmly and pulled back slightly so the dog could not run after the squirrel.
What is this an example of?
O A First Law of Motion, because an action is stronger than the force
OB. Second Law of Motion, because it is a change in the force and mass
OC. Third Law of Motion, because it is an equal and opposite reaction
O D. Law of Universal Gravitation, because it is a change in inertia
Michael pulled back the leash so that the dog could not run after the squirrel is an example of first law of motion because it is an action which is stronger than the force. Thus, the correct option is A.
What is the first law of motion?Newton's first law of motion is also known as the law of inertia. It states that an object at rest will remain at rest and an object in motion will remain in motion with the same speed and direction unless and until it is acted upon by an unbalanced external force.
An external force can be defined as the change in the mechanical energy of the object which is either the kinetic energy of the object or the potential energy present in an object. These forces are caused through the external agents. Examples of external forces include friction, normal force, and air resistance.
Therefore, the correct option is A.
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The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 11.5 g nail when it is struck by a 557 g hammer moving with a speed of 4.36 m/s.
The kinetic energy acquired by the nail is: 91.5 J.
What is kinetic energy?Kinetic energy is a form of energy that is associated with the motion of an object. It is the energy of a body or a system due to its motion. It is represented by the symbol K and is calculated by multiplying half of the object's mass with its velocity squared. Kinetic energy is always greater than zero and is equal to the amount of work needed to accelerate the body from its initial velocity to its final velocity.
The kinetic energy acquired by the nail when it is struck by the hammer can be estimated using the equation
KE = (1/2) mv^2
where m is the mass of the nail and v is the speed of the hammer.
In this case, m = 11.5 g and v = 4.36 m/s.
Therefore, the kinetic energy acquired by the nail is:
KE = (1/2) * 11.5 g * (4.36 m/s)^2
= 91.5 J.
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A migrating bird can travel at a speed of 30meter per second, how far Will it travel in 25minutes at this speed . give your answer in meters and in kilometers plss I need this answer in 15minutes
45 kilometres far Will it travel in 25minutes at this speed .
how far will it travel ?When a bird is migrating, its speed is 30 m/s, thus we must calculate how far it will fly. The distance we need to calculate should be in metres as well as kilometres in 25 minutes of journey time. The distance in metres will be calculated first in this case. Let's convert this time to seconds for that. Therefore, there will be 25 times 60 seconds in a minute. Given that there are 60 seconds in each minute, that is 15:00. Now that we have this equation, the distance here will be determined by multiplying it by the number of metres because we are treating all of the units as one. It will be 30 times 1500 miles. And if we multiply 1500 by 30, we get 45,000 metres as the distance. Now that we are aware that one mile is made up of 1000 metres, we may convert this distance to kilometres. Thus, we just divide this 45,000 by 8000. in order to convert the kilometres to 45.To learn more about speed refer to:
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The Sierra Madre Oriental is located at number _____ on the map above; this is easy to remember because “oriental” is the Spanish word for “__________.”
The Sierra Madre Oriental is located at number 4 on the map above; this is easy to remember because “oriental” is the Spanish word for “east.”
What is oriental?Oriental is a term used to describe the cultures, people, and products of the far East, especially those of East and Southeast Asia. It is also sometimes used to describe the cultures of North Africa and the Middle East. In its broadest sense, orientals are any people from the Orient, which is considered to be the regions east of the Mediterranean Sea. The term has also been used to describe aspects of the cultures of the countries within this region.
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a proton p and an electron e are released simultaneously on opposite sides of an evacuated area between large, charged parallel plates, as shown above. each particle is accelerated toward the oppositely charged plate. the particles are far enough apart so that they do not affect each other. which particle has the greater kinetic energy upon reaching the oppositely charged plate?
The preceding statement indicates that neither particle is right because their kinetic energies are equal.
Describe kinetic energy?A particles or a thing that is motion produces some form of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the energy transfer, is made on it by exerting a net force. Explain that a moving object's mass and speed are two elements that impact the amount of kinetic energy it will possess.
Since the same potential difference is causing the acceleration of both particles (e and p), As KE=qV, where q is the same for electrons and protons, both have the same kinetic energy. The answer is (c), thus.
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The complete question is-
A proton p and an electron e are released simultaneously on opposite sides of an evacuated area between large, charged parallel plates, as shown above. Each particle is accelerated toward the oppositely charged plate. The particles are far enough apart so that they do not affect each other. Which particle has the greater kinetic energy upon reaching the oppositely charged plate?
a). The electron.
b). The proton.
c). Neither particle, both kinetic energies are same.
d). It cannot be determined without knowing the amount of charges on the plates.
the temperature of the surface of the sun is 5800 k. what would be the surface temperature of a star that emits twice the energy flux (watts per square meter) that the sun emits?
The surface temperature of a star that emits twice the energy flux of the Sun would be 6900k.
What is energy?
Energy is the ability to do work. It can be found in a variety of forms, including thermal energy, kinetic energy, chemical energy, electrical energy, sound energy, and light energy. All of these forms of energy can be converted into other forms. Thermal energy is energy from heat, such as energy from a fire or from the sun.
Kinetic energy is the energy of movement, such as energy from a moving vehicle. Chemical energy is the energy stored in chemical bonds between atoms in a molecule. Electrical energy is energy from the movement of electrons, such as energy from a battery.
Given data:
Sun's temperature(Tsun) = 5800K
Energy flux of a star(Jstar) = 2J
Since,
Jstar/Jsun = T4sun/T4star
= 2 = (Tsun/Tstar)4
Tstar = T(2)[tex]^{1/4}[/tex]
= 5800 × 1.1897
= 6900k
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If an object'$ mass is decreasing while constant force is applied to the object; the acceleration a. decrceases b. remains the same c. increases.
If an object' mass is decreasing while constant force is applied to the object, the acceleration will increases option -c is correct.
Explain what acceleration is.Acceleration is the rate at which the speed and direction of a moving object change over time. When something speeds up or slows down, it is said to be accelerating. Motion on a circle accelerates even when the speed is constant because the direction is always changing.
An object's motion is altered by a net force; the greater the net force, the greater the acceleration. To accelerate at the same rate as less massive objects, heavier net forces are needed.
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if the electrical stress across a capacitor is excessive, it will be destroyed. therefore, the ? rating of capacitors should never be exceeded.
A capacitor's voltage would be destroyed if the electric stress across it is too great. Capacitor ratings should not be exceeded because of this.
What is voltage, exactly?An electric circuit's power source exerts pressure known as voltage on charged electrons (current), causing them to flow through a conducting loop and perform tasks like lighting a lamp. The voltage is expressed in volts and is simply equal to pressure (V).
Voltage and power definitions?A conducting wire's two terminals can differ in potential in units of volts. When ever a current from one amp travels over a voltage differential of one volt, the amount of work completed electrically is measured in watts. There is a proportionate relationship between watt and volt. Consequently, watt is precisely proportional to
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A 2110 kg car moving east at 10.2 m/s collided with a 3170 kg car moving east. The cars stick together and move east as a unit after the collision at a velocity of 5.03 m/s.
A) What is the velocity of the 3170 kg car BEFORE the collision? Please show your work and use this formula: +=(+)
B) what is the decrease in kinetic energy during the collision?
A) To find the velocity of the 3170 kg car before the collision, we can use the conservation of momentum principle. The principle states that the total momentum of a system remains constant if no external forces act on the system. In this case, the two cars form a closed system and no external forces are acting on them.
Given:
m1 = 2110 kg (mass of first car)
v1 = 10.2 m/s (velocity of first car)
m2 = 3170 kg (mass of second car)
v2f = 5.03 m/s (velocity of both cars after collision)
Using the conservation of momentum formula:
m1v1 + m2v2 = (m1 + m2)vf
2110 kg * 10.2 m/s + m2v2 = (2110 kg + 3170 kg) * 5.03 m/s
21632.2 + m2v2 = 5234.3 + 5.03 m/s
21632.2 = 5234.3 + m2v2
subtracting 5234.3 from both sides
16397.9 = m2v2
dividing both sides by m2
v2 = 16397.9/3170
v2 = 5.15 m/s
The velocity of the 3170 kg car before the collision is 5.15 m/s
B) To find the decrease in kinetic energy during the collision, we can use the conservation of energy principle. The principle states that the total energy of a closed system remains constant.
Given:
m1 = 2110 kg (mass of first car)
v1 = 10.2 m/s (velocity of first car)
m2 = 3170 kg (mass of second car)
v2 = 5.15 m/s (velocity of second car before collision)
vf = 5.03 m/s (velocity of both cars after collision)
Initial kinetic energy of first car = 1/2 * m1 * v1^2 = 1/2 * 2110 kg * 10.2 m/s^2 = 11096.2 J
Initial kinetic energy of second car = 1/2 * m2 * v2^2 = 1/2 * 3170 kg * 5.15 m/s^2 = 8073.36 J
Initial total kinetic energy = 11096.2 J + 8073.36 J = 19169.56 J
Final kinetic energy of both cars = 1/2 * (m1 + m2) * vf^2 = 1/2 * (2110 kg + 3170 kg) * 5.03 m/s^2 = 16100.57 J
Decrease in kinetic energy = Initial total kinetic energy - Final kinetic energy = 19169.56 J - 16100.57 J = 3068.99 J
The decrease in kinetic energy during the collision is 3068.99 J
Suppose the albedo of a planet is measured to be 40 percent. This means that: 40 percent of the Sun's energy is absorbed. 40 percent of the Sun's energy is reflected. 60 percent of the Sun's energy is reflected. more energy is reflected than absorbed.
If the albedo of a planet is 40% then it means that 40% of the sun's energy is reflected by the planet.
Albedo of a planet is the amount of solar energy that is reflected by a planet of surface. This term is used in astronomy to describe the reflective properties of a planet, satellite, or asteroids. Venus planet has the highest albedo in our solar system, which is 0.7 as a ratio of the light strikes the surface of the planet to the light reflected by the planet. Venus reflect 70% of the sunlight.
Albedo can be measured using a pyranometer device or satellite imagery, which detects the solar radiation of shorter wavelength in the form of watts per square meter (W/sq m).
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A Lego train moves 1. 25 m east and then 0. 75 m west along its track in 8 seconds. Determine the average speed and the average velocity of the train
The average speed and the average velocity of the train are 1.34m/s and 0.0625 m/s respectively.
Why is average speed equal to average velocity?Average speed is the total distance traveled by an object to the total time taken. However, average velocity is the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. Hence, the average speed and average velocity are equal if the total displacement is equal to the total distance that is if the body travels along a straight line without changing the direction.
Total distance /time = Average speed
=> Average speed = (1.25 + 0.75)/8
=> 1.34m/s.
Total displacement/ time = Average velocity
=> (1.25 - 0.75)/8 => 0.0625 m/s
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Why can work out never be greater than work in? What would that do to efficiency?
Answer:
Explanation:
Work out can never be greater than work in because when work out is greater than work in, this means that more energy is being produced than what is being put into the system. This is not possible, as it would violate the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed.
If work out were greater than work in, this would lead to an increase in efficiency, as the system would be able to produce more energy than what is being put into it. However, this increase in efficiency would be unsustainable, as it would eventually lead to an energy imbalance and a decrease in efficiency over time.
what is the speed uuu of the object at the height of (1/2)hmax(1/2)hmax ? express your answer in terms of vvv and ggg . you may or may not use all of these quantities.
The speed of the object at the height of (1/2)hmax is expressed in terms of vvv and ggg, without using the value of g and h.
What does the word "speed" mean?Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled about relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
How can we determined this?The speed of the object at the height of (1/2)hmax can be represented by the equation:
Speed = sqrt(2gh)
Where:
g = acceleration due to gravity
h = height
At the height of (1/2)hmax, the object has reached its maximum height and its speed is at its minimum, known as the "top speed." At this point, the object's vertical velocity (vvv) is equal to zero and its kinetic energy is equal to its potential energy, so we can write:
1/2mvvv^2 = mgh
Where:
m = mass of the object
By substituting the first equation into the second equation, we get:
1/2m(sqrt(2gh))^2 = mgh
Simplifying this equation, we get:
g = vvv^2 / 2h
Now, we can substitute the value of g back into the first equation:
Speed = sqrt(2gh) = sqrt(2 * (vvv^2 / 2h) * (1/2)hmax)
So, the speed of the object at the height of (1/2)hmax is:
Speed = sqrt(vvv^2 / 2)
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angular and linear speeds the circular blade on a saw rotates at 5000 revolutions per minute. (a) find the angular speed of the blade in radians per minute. (b) the blade has a diameter of inches. find the linear speed of a blade tip.
The angular speed of the blade in radians per minute is 31,416 rad/min. angular and linear speeds the circular blade on a saw rotates at 5000 revolutions per minute.
With diameter and linear speed, how do you calculate angular speed?If r is an object's radius, v is its linear speed and is its angular velocity in radians per unit of time, then v = r. This formula connects these three values so that we can always determine the third if we know the first two.
What is the linear speed formula?Thus, the angular speed times the r-dimensional distance equals the linear speed of a point on the object. The unit of measurement is meters per second and meters per second. where = the rate in radians per second.
(a) To find the angular speed of the blade in radians per minute, we can use the formula:
angular speed (rad/min) = 2 * pi * (revolutions per minute)
angular speed (rad/min) = 2 * pi * 5000 revolutions per minute
= 31,416 rad/min
(b) To find the linear speed of a blade tip, we can use the formula:
linear speed (inches/min) = (diameter of the blade) * (angular speed (rad/min))
linear speed (inches/min) = (diameter) * (angular speed (rad/min))
= (diameter) * (31,416 rad/min)
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a 2 kg block starts at rest and is slides down a ramp from a height of 3 meters above the ground and reaches the ground with a kinetic energy of 50 j. determine the total work done by friction on the block as it slides down the ramp and explain what has happened to some of the gravitational potential energy
The total work done by friction on the block (2 kg block starts at rest and is slides down a ramp from a height of 3.0 meters above the ground and reaches the ground with a kinetic energy of 50 J) as it slides down the ramp = 44 J (option 4)
When an external force is applied to a system in a such that one of the components of the force is parallel to the displacement of the system, mechanical energy—the sum of kinetic and potential energy—is transported into or out of the system. Work is the term for the activity of transferring energy.
The change in the block's mechanical energy is what is known as the work done by friction;
ΔME = W
KE - PE = W
(50 - (2 x 3) = W
W = 50 - 6
= 44 J
The question is incomplete, it should be:
A 2.0-kilogram block sliding down a ramp from a height of 3.0 meters above the ground reaches the ground with a kinetic energy of 50 Joules. The total work done by friction on the block as it slides down the ramp is approximately
(1) 6 J
(2) 9 J
(3) 18 J
(4) 44 J
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A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position being 13 cm below yi.
Oscillation refers to the repetitive motion of an object that periodically returns to a fixed position. It can be described as the motion of an object back and forth around an equilibrium point.
What is Oscillations?Oscillations can be classified into different types based on the restoring force that causes the motion. The most common types of oscillations are harmonic oscillations, which are caused by a restoring force that is proportional to the displacement from the equilibrium point. A massless spring hanging from the ceiling with a small object attached to its lower end is a good example of harmonic oscillation. When the object is displaced from its equilibrium position and released, it will oscillate up and down, with its lowest position being 13 cm below yi.
This is a simple harmonic motion problem. The object oscillates about an equilibrium point, which is at yi. The amplitude of the oscillation is 13 cm, and the restoring force is provided by the spring. The motion can be described by the equation: y(t) = A * cos(2πft + φ), where A is the amplitude, f is the frequency, and φ is the phase constant. The frequency of the oscillation can be calculated using the formula: f = 1 / (2π * sqrt(k/m)), where k is the spring constant and m is the mass of the object.
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you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.
you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.
Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.
To calculate the pressure at a depth of 10.9 ft below the surface of the water, you would use the formula for pressure due to a fluid: P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid above the point of measurement.In this case, the density of the water is 61.0 lbm/ft^3, the acceleration due to gravity is 32.2 ft/s^2. So the pressure at a depth of 10.9 ft is: P = (61.0 lbm/ft^3)(32.2 ft/s^2)(10.9 ft) = 2088.82 lbf/ft^2 or 1461.9 psiIt's important to note that the pressure underwater increases by 1 atmosphere or 14.7 psi (or 14.7 lbf/in^2 or 101,325 Pa) for every 33 ft of depth, this means that you have to add the atmospheric pressure (13.9 psi) to the pressure calculated above. Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.
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the length of perpendicular from the centre of a circle to a chord is 9 cm, if the length of the chord is 24 cm, find the radius and the circumference of the circle
the radius and the circumference of the circle
After solving the equation: The circumference of the circle is 159.7 cm.
What is circumference?Circumference is the distance around the edge of a two-dimensional shape or a three-dimensional object such as a circle or sphere. It is calculated by multiplying the diameter of the circle or sphere by the number pi (π).
Radius: Let AB be the chord of the circle with centre O.
We are given that the length of perpendicular from the centre O to the chord AB is 9 cm.
Let r be the radius of the circle.
We know that the line segment joining the centre of a circle to any point on the circle is the radius.
Therefore, in triangle OAB,
r = 9 cm (given)
AB = 24 cm (given)
By using Pythagoras Theorem in triangle OAB, we get
r2 = (9 cm)2 + (24 cm)2
r2 = 81 + 576
r2 = 657
r = √657
r = 25.6 cm
Therefore, the radius of the circle is 25.6 cm.
Circumference:
We know that the circumference of a circle is given by the formula
Circumference = 2πr
Therefore, the circumference of the circle is
Circumference = 2π × 25.6 cm
Circumference = 159.7 cm
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what is the speed of an electromagnetic wave with a frequency of 1.33 x 10 ^17 hz and a wavelength of 2.25 nm?
2.99x10^8ms is the speed of an electromagnetic wave with a frequency of 1.33x10^17Hz and a wavelength of 2.25nm.
What is electromagnetic wave?
Electromagnetic waves are undetectable shapes of vitality that travel in spite of the fact that the universe. In any case, you'll be able "see" a few of the comes about of this vitality. The light that our eyes can see is really portion of the electromagnetic range.
Given,
Frequency of wave = 1.33x10 ^17Hz =1.33x10 ^17s^-1
Wavelength of wave = 2.25nm=2.25x10 ^-9m
Formula utilized :
v=c/λ
where,
v = recurrence of light
λ= wavelength of light
c = speed of electromagnetic wave = ?
Now put all the given values within the over equation, we get:
1.33x10 ^17s^-1 =c/2.25x10 ^-9m
c=(1.33x10 ^17s ^-1) x (2.25x10 ^-9m)
c=2.99x10 ^8m/s
Therefore, the speed of electromagnetic wave is 2.99x10^8ms
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8.10 an engine of the orbital maneuvering system (oms) on a space shuttle exerts a force of (26,700 n)1 for 3.90 s, exhausting a negligible mass of fuel relative to the 95,000-kg mass of the shut- tle. a) what is the impulse of the force for this 3.90 s? b) what is the shuttle's
The impulse of the force for this 3.90 s is 104130 kg.m/s. the orbital maneuvering system (oms) on a space shuttle exerts a force of (26,700 n)1 for 3.90 s.
What is the impulse of the force?If the force is constant, the resulting force, F, and the length of this force, t, are multiplied to form the impulse of force. Changes in motion and subsequently changes in momentum are caused by the impulse of force.
What do you mean by impulse?a sudden, spontaneous propensity or invitation to some often irrational conduct. an inclination or inherent tendency that is typically illogical. an excitement pulse that travels through tissues, in particular nerve fibers and muscles, and causes physiological activity or inhibition by looking at nerve impulses.
Given:
(a) Force ∑F = 26700 N
Time interval Δt = 3.90 s
The impulse of force J = ∑F.Δt
The impulse of force J = 26700*3.90
The impulse of force J = 104130 Kg.m/s
(b) To find the change in momentum of the shuttle caused by this impulse, we can use the equation:
Δp = mΔv = Impulse
where Δp is the change in momentum, m is the mass of the shuttle (95,000 kg), and Δv is the change in velocity.
By using impulse equation we can find the change in velocity of the shuttle.
Δv = Impulse / m
= 104,130 Ns / 95,000 kg
= 1.096 m/s
You can plug in the value and find the change in velocity of the shuttle
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