The maximum velocity of an 89.0 kg person bouncing on a bathroom scale having a force constant of 1.63 x 10^6 N/m is 31.1 m/s.
The above situation represents a case of Simple Harmonic Motion(SHM).
Following are some general equations of SHM :
ω = √k/√m
Here ω is the angular frequency
k is the force constant
m is the mass of the body
And the maximum velocity is given by the formula,
v = ω^2 x A
Where A represents the amplitude
Putting the given values in the above equation,
v = k/m x A
V = 1.63 x 10^6 x 0.17 x 10^-2/ 89
v = 31.1 m/s
Hence, the maximum velocity of an 89.0 kg person bouncing on a bathroom scale having a force constant of 1.63 x 10^6 N/m is 31.1 m/s.
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1) compare the isochron map to the topographic map of the seafloor in the previous investigation. which seafloor features are associated with young crust what can you infer from this?
2) how does the age of the seafloor change as you move away from these features?
what can you conclude from this evidence?
From this evidence, you can conclude that the seafloor is not a static feature and is constantly being renewed through the movement of tectonic plates and the creation of new crust at mid-ocean ridges. The age of the seafloor can be used to help understand the history and dynamics of the Earth's crust and how it has evolved over time.
HOPE IT HELPS!a flat, square coil of 16 turns that has sides of length 14.0 cm is rotating in a magnetic field of strength 0.040 t. if the maximum emf produced in the coil is 34.0 mv, what is the angular velocity of the coil (in rad/s)? (enter the magnitude.) rad/s
The angular velocity of the coil is ω = 2.55\(rads^{-1}\).
Angular velocity is the rate at which an object rotates or rotates about an axis or the rate at which the angular displacement between two bodies changes. In the figure, this shift is represented by the angle θ between the line of one body and the line of the other body. The face area is calculated by multiplying the rib height by the fin length.
calculation:-
number of turns = 16
side length = 14 cm = 0.14 m
Magnetic field strength B = 0.040T
Emf produced = 34mV = 0.034 V
angular velocity = w×16× 0.14 ×0.034/0.040
= 2.55 m/ rad.
Face Velocity is the air velocity over the face of the coil. This angular rate describes how fast AC waveform cycles, and you should understand that a full cycle is equal to 2π radians. This does not necessarily represent the actual shaft speed of the alternator that produces AC power. There is an important relationship between angular velocity and frequency, given by the equation: Angular velocity is equal to frequency multiplied by the constant 2pi.
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Bu lasarati pushes the trycicle with a force of 20 N so that it moves 10m in the direction of the force. The effort made by Mrs. Lasarati amounts to...
Answer:
200 J
Explanation:
Given that,
Force, F = 20 N
Distance covered in the direction of force, d = 10 m
We need to find the effort made by Mrs. Lasarati. It will be given by :
W = Fd
W = 20 N × 10 m
W = 200 J
So, the required effort made by Mrs. Lasarati is 200 J.
A machine has mechanical advantages 2, what does it means.
plzz tell me the ans
Answer:
Mechanical advantage is the measure of the force amplification achieved by using a tool , mechanical device or machine . ... So MA = 2 means that for example if you apply 100 N then your machine will multiply that force and generate 200 N..
Explanation:
Hope it helps you..
Your welcome in advance..
(ㆁωㆁ)
9. Which parts of the ear have a solid medium?
Middle part of the ear have a solid medium. The ossicles, which are bones that amplify sound waves, are located in the middle ear, therefore the medium is solid.
The outer ear is the first place that sound waves pass through, followed by the middle ear and lastly the inner ear. The first medium is gas because the external auditory canal, which is part of the outer ear, is filled with ambient air. The ossicles, which are bones that amplify sound waves, are located in the middle ear; therefore the second medium is solid. The last medium is liquid because the inner ear is loaded with fluids like endolymph and perilymph that vibrate when sound waves pass through them.
The middle ear amplifies sound after being directed toward it by the outer ear, which is in charge of catching it. Amplified sound waves are sent from the middle ear to the inner ear, where hair cells detect the sound waves and transmit the data to the brain.
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Which of the following statements is true in regards to heat?
The statements true in regards to heat is 3. Heat is a form of energy, can be reflected by a mirror, and cannot pass through a vacuum.
What is heat?Heat is a form of energy. Heat is the transfer of thermal energy from one object to another. Thermal energy is the energy of motion of the particles in an object. Heat can be reflected by a mirror. Heat is a form of electromagnetic radiation, and electromagnetic radiation can be reflected by mirrors.
Heat cannot pass through a vacuum. Heat is a form of electromagnetic radiation, and electromagnetic radiation cannot pass through a vacuum. Heat is not an electromagnetic radiation. It is a form of energy that is transferred from one object to another because of a difference in temperature.
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Complete question:
Which of the following statements are true regarding heat?
(a) Heat is a form of energy
(b) Heat can be reflected by mirror
(c) Heat is an electromagnetic radiation
(d) Heat can pass through vacuum
Select the correct answer from the codes given below :
1. 1, 2 and 3
2. 2, 3 and 4
3. 1, 2 and 4
4. 1, 3 and 4
describe two effects of weathering on a cliff
Answer:
In coastal areas, strong winds and powerful waves break off soft or grainy rocks from hardier rocks. Too much weathering occurs, it might break off parts of the cliff and be dangerous to humans, or animals.
Rain has acid in it which could eat up the cliff.
Explanation:
Why there is a difference between the arrival times of S waves and P waves?
P waves arrive first because they move the most quickly. P and S waves arrive later because they move at a speed that is roughly half that of P waves.
What defines P waves as a phenomenon?Seismic P waves, also known as compressional , longitudinal waves, oscillate (squeeze and expand) the ground forth and forth in direction of travel, much like how sound waves oscillate as they go from source towards receiver. The quickest wave is P wave.
What defines S waves as their characteristic?S-waves are referred to as transverse waves since they cause the ground to vibrate perpendicular to the wave's path of propagation. When a transverse wave travels parallel to the direction it is traveling, it passes over the earth. They are transverse waves, S-waves.
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How does a battery produce an electric current in a circuit ?
Answer:
A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.
How can red giants be so bright when they are so cool
Answer:
The star's luminosity rises above its previous level. Because it is so cool, the surface will be red, and it will be much farther away from the center than it was during the earlier stages of star evolution. Despite its lower surface temperature, the red giant has a large surface area, which makes it very luminous.
Answer the following question in your activity notebook. 1. Which of the exercises you've done were easy to perform? 2. Did you continue performing those exercises which you found to be difficult? Why? 3. Were you confident in doing those exercises on your own? Why?
Answer: They are all easy to perform as they are bodyweight exercises.
Explanation:
no difficult exercise so NA. Yes I was plenty of online video to watch to address issues
Which of the following statements best describes what happens to the rocket’s trajectory when the angle of
launch is lowered to 45 degrees?
This means that the rocket will not reach the same height as it would at a higher launch angle, and it will also cover less horizontal distance before hitting the ground.
What is Trajectory angle?
Trajectory angle refers to the angle at which an object is launched or thrown relative to the horizontal plane. It is the angle between the initial velocity vector of the object and the horizontal plane. In physics and engineering, the trajectory angle is an important parameter that determines the trajectory of a projectile or a moving object.
Lowering the angle of launch of a rocket to 45 degrees will result in a shorter and lower trajectory compared to launching the rocket at a higher angle. When the rocket is launched at a lower angle, it will have less vertical velocity and more horizontal velocity compared to a rocket launched at a higher angle.
However, launching the rocket at a lower angle can be useful in certain situations where the goal is to cover a shorter distance or to maintain a lower altitude, such as in a low-altitude reconnaissance mission or in a missile attack where the target is closer.
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Energy sources can be placed in two categories: renewable and nonrenewable. How do you think these two energy sources differ from each other?
Answer:
Renewable energy sources can come again, but nonrenewable is gone forever. For example, coal and gasoline are both nonrenewable.
Explanation:
Three people trying to move a box. Which set of forces will result in a net force on the box of 20 N to the right?
we have that from the Question"Three people trying to move a box. Which set of forces will result in a net force on the box of 20 N to the right?" it can be said that
The set of forces which will result in a net force on the box of 20 N to the right isOption DFrom the Question we are told
Three people trying to move a box. Which set of forces will result in a net force on the box of 20 N to the right?
Generally the equation for Net Force is mathematically given as
Fn=Fx+Fy...
Therefore
The force from the option that give a Net Force of 20 to the right is
\(Fn=(28+10)-(18)\\\\Fn=20N\)
Therefore
The set of forces which will result in a net force on the box of 20 N to the right is
Option D
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Answer: The correct answer is A
55N, 16N, 17N
Explanation: I took the quiz
given the g constant (6.67x10-11 m3/kg s2), the distance to the sun, calculated in question (2), and the velocity of earth v, calculate the mass of the sun.
The mass of the sun can be calculated using the formula M = (v^2 * r) / G, where v is the velocity of Earth, r is the distance between the Earth and the sun, and G is the gravitational constant. Substituting the given values, the mass of the sun is approximately 1.99 x 10^30 kg.
To calculate the mass of the sun, we need to use the formula for centripetal force:
F = (mv²) / r
where F is the force of gravity between the sun and the Earth, m is the mass of the Earth, v is the velocity of the Earth around the sun, and r is the distance between the sun and the Earth.
We can rearrange this formula to solve for the mass of the sun:
M = (F * r) / (G * M)
where M is the mass of the sun, G is the gravitational constant, and F and r are as defined above.
From previous calculations, we know that the distance between the sun and the Earth is 1.496 x 10^11 meters, and the velocity of the Earth around the sun is 29.78 km/s or 2.978 x 10^4 m/s.
The force of gravity between the sun and Earth can be calculated using Newton's law of gravitation:
F = G * M * m / r^2
where m is the mass of the Earth.
Substituting the values, we get:
F = (6.67 x 10^-11 N m^2/kg^2) * (5.97 x 10^24 kg) * (1.0 kg) / (1.496 x 10^11 m)^2
= 3.52 x 10^22 N
Now we can calculate the mass of the sun:
M = (F * r) / (G * M)
M = (3.52 x 10^22 N) * (1.496 x 10^11 m) / (6.67 x 10^-11 N m^2/kg^2)
M = 1.99 x 10^30 kg
Therefore, the mass of the sun is approximately 1.99 x 10^30 kg.
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help....................
what is the horizontal distance dforearm between the elbow and the point where the weight of the forearm acts?
The horizontal distance (d_forearm) between the elbow and the point where the weight of the forearm acts is known as the center of mass of the forearm.
The center of mass represents the average position of the weight distribution of an object. In the case of the forearm, this point is important in biomechanics as it helps determine the force exerted by the muscles and the stability of the arm during various movements. To find the center of mass, one can use various techniques including mathematical calculations, experimental measurements, and observation of the anatomy.
Generally, the center of mass for the human forearm is located approximately at the midpoint between the elbow and the wrist, making it roughly 50% of the total length of the forearm. However, this location may vary among individuals due to differences in body proportions, muscle mass, and bone density. In summary, the horizontal distance (d_forearm) between the elbow and the point where the weight of the forearm acts is the center of mass, typically located around the midpoint of the forearm, this point plays a significant role in the biomechanics and stability of the arm during various movements.
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which trophic level has the least available energy in kilojoules in this food web?
The highest trophic level has the least available energy in kilojoules.
Even though the food web is not shown in the question, but we know that energy decreases steadily as it is passed on from one trophic level to the next according to the second law of thermodynamics.
Energy enters into the system from the sun. The primary producers utilize this energy to produce food. As plants are eaten by animals, this energy is transferred along the food web an diminishes at each higher trophic level.
At the highest trophic level, the the least available energy in kilojoules in this food web is found.
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Electricity flows from
positive to positive
negative to positive
negative to negative
positive to negative
Answer:
is it from positive to negative am I right tell me if I am wrong
Answer:
positive to negative
The flow of electric current is similar to the flow of water which is from higher level to lower level.
The electric current flow from higher potential region(positive* low concentration of electron) to lower potential region(negative*high concentration of electron)
Mary has a mass of 40 kg and sprints at 1 m/s. How much kinetic energy does she have?
¼
She has a kinetic energy of 20 J.
Roberto has twice the mass his sister Mary has (see above) but runs at the same velocity as Mary.
Will his kinetic energy be twice as much? Show your work.
the angle between the incident ray and the reflected ray is 800. what is the angle of incidence
Answer:
50 degrees
Explanation:
the angle between the incident ray and the reflected ray is 80 degrees
80 degrees + inc + refl = 180
inc = refl = 50 degrees
8. A solution contains a mixture of two volatile substances A and B.
The mole fraction of substance A is 0.35. At 32°C the vapor pressure
of pure A is 87 mmHg, and the vapor pressure of pure B is 122
mmHg. What is the total vapor pressure of the solution at this
temperature?
a) 110 mmHg
b) 209 mmHg
c) 99.3 mmHg
d) 73.2 mmHg
The total vapor pressure of the solution is (c) 99.3 mmHg.
What is temperature?A substance's or an object's temperature is a measurement of how hot or cold it is. It is a characteristic of matter that has to do with the typical kinetic energy of the atoms or molecules that make up the thing or material. Normally, temperatures are expressed in either degrees Celsius (°C) or degrees Fahrenheit (°F).
How do you determine it?Raoult's law, because substance A's mole fraction is 0.35, it follows that substance B's mole fraction must be 0.65. (since the two mole fractions must add up to 1). The partial pressures of A and B in the solution can be determined using Raoult's law:
A's partial pressure is calculated as 0.35 x 87 mmHg, or 30.45 mmHg.
B's partial pressure is equal to 79.3 mmHg (0.65 x 122 mmHg).
The partial pressures of A and B are added to determine the solution's overall vapor pressure:
Total vapor pressure equals partial pressures of A and B, or 30.45 mmHg, 79.3 mmHg, and 109.75 mmHg respectively.
Rounding to the nearest tenth, we obtain 109.8 mmHg, which is the value that is most similar to option (c) 99.3 mmHg. Hence, the correct response is (c) 99.3 mmHg.
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A lamp that plugs into a wall socket draws energy which flows through a thin wire in the bulb causing it to glow. What energy transformation are taking place
Answer:
Electrical>thermal>light
Explanation:
A worker has to move a 800 kg crate. He pulls with a force of 5,700 N and
the Force of Friction working against him is 900 N. What is the acceleration
of the crate?
There is a net force being applied in the direction that the crate is being pulled of 5700 N - 900 N = 4800 N.
By Newton's second law, this net force is proportional to the crate's acceleration a by a factor of the crate's mass:
4800 N = (800 kg) a
a = (4800 N) / (800 kg)
a = 6 m/s²
we have that from the Question, it can be said that the acceleration of the crate is
a=6m/s^2
From the Question we are told
A worker has to move a 800 kg crate. He pulls with a force of 5,700 N and the Force of Friction working against him is 900 N.
What is the acceleration of the crate?
Generally the equation for acceleration is mathematically given as
\(a=\frac{F}{m}\\\\Therefore\\\\a=\frac{F}{m}\\\\a=\frac{5700-900}{800}\\\\\)
a=6m/s^2
Therefore
the acceleration of the crate is
a=6m/s^2
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What is the period of green light waves that have a wavelength of 5.2 x 10-7 m.? The speed of light is 3.0 x 108 m/s
So the green light waves have a frequency of \(5.78 \times 10^{14\) Hz, which is in the visible light range of the electromagnetic spectrum.
In this case, the frequency can be calculated as:
frequency = 1 / period
\(= 1 / (1.73 \times 10^{-15}s) = 5.78 \times 10^{14} Hz\)
A wave's period is the amount of time it takes for one full cycle to occur. The formula: can be used to compute the period.
wavelength x speed equals period
Where speed is the wave's velocity and wavelength is the separation between the wave's two successive peaks or troughs.
5.2 x 10-7 m is the wavelength of the green light waves in this instance, and 3.0 x 108 m/s is the speed of light. So, using the formula below, we can determine the waves' period:
wavelength x speed equals period
Consequently, the wavelength of 5.2 x 10-7 m green light waves has a wavelength of 1.73 x 10-15 seconds.
The wave's frequency is a significant consideration.
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Please help ASAP -multiple choice- will give brainliest
Answer:
C. An article written by a scientist
Explanation:
Research-based original articles written by a scientist can act as a primary source of information. Textbooks, dictionaries and encyclopedias are generally classified as secondary sources and are rarely primary sources.
PLEASE HELP urgently!!!
1.The initial volume of a gas at a pressure of 5 atm is 3.5 L. What will the volume be if the pressure is increased to 6 atm?
Include units.
2. A gas is contained in a 4 L container at a pressure of 2 atm. The container is at a temperature of 15 degrees Celsius. What will the pressure be if the temperature is increased to 30 degrees Celsius?
Include units.
3. Calculate the decrease in temperature when 6.00 L of gas at 20.0 °C is compressed to 4.00 L.
Include units.
4. A 40.0 L tank of ammonia has a pressure of 5.5 atm. Calculate the volume of the ammonia if its pressure is changed to 8.2 atm while its temperature remains constant.
5. Determine the pressure change when a constant volume of gas at 1.5 atm is heated from 18 °C to 32 °C.
Taking into account the Boyle's law, Charles's law and Gay-Lussac's law, you get:
If the pressure is increased to 6 atm, the volume will be 2.92 L.If the temperature is increased to 30 degrees Celsius, the pressure will be 2.104 atm.When 6.00 L of gas at 20.0 °C is compressed to 4.00 L, the temperature will be 195.33 K.If its pressure is changed to 8.2 atm while its temperature remains constant, the volume will be 52.38 L.At 32°C, the pressure will be 1.43 atm.Boyle's lawBoyle's law states that the volume occupied by a given mass of gas at constant temperature is inversely proportional to the pressure: if the pressure increases, the volume decreases, while if the pressure decreases, the volume increases.
Boyle's law is expressed mathematically as
P×V=k
Considering an initial state 1 and a final state 2, it is fulfilled:
P₁×V₁=P₂×V₂
Charles's LawCharles's Law consists of the relationship between the volume and temperature of a certain amount of ideal gas.
This law says that for a given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases, and as the temperature decreases, the volume of the gas decreases: the volume is directly proportional to the temperature of the gas.
Charles's law is expressed mathematically as:
V÷T=k
Considering an initial state 1 and a final state 2, it is fulfilled:
V₁÷T₁=V₂÷T₂
Gay-Lussac's law
Gay-Lussac's law determines that gas pressure is directly proportional to its temperature when the volume is constant: when there is a constant volume, when the temperature increases, the gas pressure increases and when the temperature decreases, the gas pressure decreases.
Gay-Lussac's law is expressed mathematically as:
P÷T=k
Considering an initial state 1 and a final state 2, it is fulfilled:
P₁÷T₁=P₂÷T₂
Exercise 1In this case, you know:
P₁= 5 atmV₁= 3.5 LP₂= 6 atmV₂= ?Replacing in the Boyle's law:
5 atm× 3.5 L= 6 atm×V₂
(5 atm× 3.5 L)÷ 6 atm= V₂
2.92 L= V₂
Finally, the volume will be 2.92 L.
Exercise 2In this case, you know:
T₁= 15°C= 288 KP₁= 2 atmT₂= 30°C= 303 KP₂= ?Replacing in Gay-Lussac's law:
2 atm÷ 288 K=P₂÷ 303 K
(2 atm÷ 288 K)× 303 K=P₂
2.104 atm= P₂
Finally, the pressure will be 2.104 atm.
Exercise 3In this case, you know:
V₁= 6 LT₁= 20 C= 293 KV₂= 4 LT₂= ?Replacing in Charles's law:
6 L÷293 K=4 L÷T₂
(6 L÷293 K)× T₂= 4 L
T₂= 4 L÷ (6 L÷293 K)
T₂= 195.33 K
Finally, the temperature will be 195.33 K.
Exercise 4In this case, you know:
P₁= 5.5 atmV₁= 40 LP₂= 8.2 atmV₂= ?Replacing in the Boyle's law:
5.5 atm× 40 L= 8.2 atm×V₂
(5.5 atm× 40 L)÷ 8.2 atm= V₂
52.38 L= V₂
Finally, the volume will be 52.38 L.
Exercise 5In this case, you know:
T₁= 18°C= 291 KP₁= 1.5 atmT₂= 32°C= 305 KP₂= ?Replacing in Gay-Lussac's law:
1.5 atm÷ 291 K= P₂÷ 305 K
(1.5 atm÷ 291 K)× 305 K=P₂
1.43 atm= P₂
Finally, the pressure will be 1.43 atm.
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Two dimensions. In Figure 13-34, three point particles are fixed in place in an xy plane. Particle A has mass mA = 3 g, particle B has mass 2.00mA, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed near the other three particles. What (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero (d = 22 cm)?
To make the net gravitational force on particle A from particles B, C, and D zero, particle D should be placed at the x coordinate of -11 cm and the y coordinate of 0 cm.
The net gravitational force on particle A from particles B, C, and D can be calculated using the formula for gravitational force:
F = G * (m₁ * m₂) / r²
Where F is the gravitational force, G is the gravitational constant, m₁ and m₂ are the masses of the two particles, and r is the distance between them.
Since the net gravitational force on particle A should be zero, we can set up an equation:
FAB + FAC + FAD = 0
Using the given information that the distance d is 22 cm and the masses of particles B, C, and D are known in terms of mA, we can calculate the x and y coordinates for particle D.
By applying the principle of superposition, we can calculate the net gravitational force on particle A from particles B, C, and D at the x coordinate and y coordinate of particle D. By adjusting the position of particle D, we can find the coordinates that result in a net gravitational force of zero on particle A.
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In the English system of units, power is expressed as horsepower (hp) instead of watts, where 1 hp = 746 W. What would be the power rating of a 100 W light bulb in horsepower?
Answer
as it is given that 1hp=746W
100W=?hp
746hp=100W (to find the value of hp we divide 100 on both sides)
746/100=hp
hp=7.46
5. How fast does a 50 gram arrow need to travel to have 40 Joules of kinetic energy?
Answer: v = 40 m/5
Explanation:
40 J = 1/2 (105) v^2
1600 = v^2
v = 40 m/5
The velocity of the arrow weighing 50 g or 0.05 Kg to have a kinetic energy of 40 joules is 40 m/s.
What is kinetic energy?Kinetic energy is the energy generated in a body by virtue of the motion of the body. It is dependent on the mass and velocity of the body by the relation written below:
Ke = 1/2 mv²
Given the mass of the arrow = 50 g = 0. 05 kg
kinetic energy = 40 J
Thus velocity of the arrow = √(2 Ke / m)
= √(2 × 40 J / 0.05 Kg)
= 40 m/s .
Therefore, the velocity of the arrow will be 40 m/s
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