The average acceleration after the rope starts stretching and slowing down is 9.63m/s^2 when a bungee cord has a length of 10m it stretches by at most 20% you jump from a bridge 15m high.
The acceleration of a bungee jumper is given by
a=-g(1-(μ(4L+μ(2L+y))/(2(μ(L+y)+2L)^2 )))
g is the acceleration due to gravity (9.81m/s2)
µ is the mass ratio (which is 1), assuming the mass of the jumper and the bungee cord are the same
L is the length of the bungee cord (10m)
Y is the height at which the jumper jumps (15m)
a=-g(1-(((4L+(2L+y)))/(2((L+y)+2L)^2 )))
Substituting the values
a=-9.81(1-(((4(10)+(2(10)+15)))/(2((10+15)+2(10))^2 )))
a=-9.81(1-(((40+(20+15)))/(2((25)+20)^2 )))
a=-9.81(1-(((40+35))/(2(45)^2 )))
a=-9.81(1-(75/(2×2025)))
a=-9.81(1-(75/4050))
a=-9.81(1-0.0185)
a=-9.81(0.9815)
a=-9.6285
a=-9.63m/s
The acceleration is negative because the rope is slowing down, i.e. coming to rest.
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Suppose a student develops a scale model of the planets. which two planets should be the closest in diameter on the model?
Answer:
earth and venus
Explanation:
What is the mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long?
The mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long is 1960 g.
Simply put, density is a measurement of how tightly packed the mass of an object or material is. The mass-to-volume ratio of an object is how scientists describe density. How densely a substance is packed is shown by its density. Density is defined mathematically as Mass/Volume.
Radius of the lead cylinder = diameter / 2 = 1.80 / 2 = 0.9 in = 0.9 × 2.54 cm = 2.29 cm
Height of lead cylinder = 4.12 in = 4.12 × 2.54 cm = 10.46 cm
Volume of cylinder = π[tex]r^2h[/tex] = 3.14 × 2.292 × 10.46 = 172.24 [tex]cm^3[/tex] = 172.24 ml
Mass of lead cylinder = Density * Volume = 11.4 × 172.24 =1960 g
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What kingdoms fall under archaea ?
A sound wave travels to a high wall which is 225m away from the source and is then reflected back to is initial position If the speed of sound in air as 340ms", calculate the time it takes to hear the echo.
Answer:
1.32 (3sf)
Explanation:
total distance the sound wave travel= 225 x 2= 450m
450 ÷ 340= 1.32s
A galvanic cell runs for 1 minute with a current of 0.25 a. how much charge passed through the cell in that time? (f = 96,500 c/mol)
If the galvanic cell runs for 1 minute with a current of 0.25 ampere. Then 15 coulombs of charge would have been passed through the cell in that time.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge.
I =Q/T
As given in the problem If the galvanic cell runs for 1 minute with a current of 0.25 ampere,
Charge = current ×time
=0.25 ampere×60 seconds
=15 couloms
Thus, 15 coulombs of charge would have been passed through the cell in that time.
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2) A girl walks to the east 40m, to the south 70m and then to
the west 40m, what is the distance.
and displacement of the girl
The correct answer is 70 meter displacement in the east.
Let's assume that he departs from point O and follows the path ABC.
The man's displacement will be revealed if we join the start and end points of the path he took.
O's distance from A is 40 meters.
70 meters separate A and B.
From B to C, it is 40 meters.
Distance from B to C equals the distance between O and A.
We're looking for the displacement, which is the separation between points O and C.
The opposing sides of a rectangle are equal. Hence A to B is separated by the distance from O to C.
Distance from A to B equals displacement.
70 meter displacement in the east.
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The ph of a 0.60 m aqueous solution of formic acid is 1.98. what is the ka for formic acid?
The ph of a 0.60 m aqueous solution of formic acid is 1.98 then the [tex]K_a[/tex] for formic acid will be 1.86×[tex]10^{-4}[/tex].
What is an Aqueous solution?Any solution where the solvent is water (H2O) is referred to as an aqueous solution. When a species' name appears in a chemical equation, the symbol (aq) is used to denote that the species is in an aqueous solution.
Despite being frequently referred to as the universal solvent, only hydrophilic compounds dissolve in water. Acids, bases, and many salts are examples of hydrophilic molecules. Hydrophobic substances tend to not form aqueous solutions and do not dissolve well in water. Several organic compounds, such as fats and oils, are examples.
According to the question,
HCOOH ⇄ [tex]H^{+}[/tex] + [tex]HCOO^{-}[/tex]
[[tex]H^{+}[/tex]] [tex]10^{-1.98}[/tex]
=0.0104713
Now,
I 0.60 0 0
C -x +x +x
E 0.60-x x x
[tex]K_a[/tex]= x²/(0.60-x)
Here,
x=0.0104713
[tex]K_a[/tex]=(0.0104713)²/(0.60-0.0104713)
[tex]K_a[/tex]=1.86×[tex]10^{-4}[/tex]
Hence, the [tex]K_a[/tex] for formic acid will be 1.86×[tex]10^{-4}[/tex].
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Using the rydberg equation, calculate the wavelength (in meters) of the light absorbed by a hydrogen atom when n jumps from 3 to 5.
The wavelength released in transition energy is 683.68 nm.
We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as
ΔE = E2 - E1
where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.
The state energy of a hydrogen atom can be calculated by
E = -(13.6) / n² eV
E = h.c / λ
where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.
Rydberg has been simplified how much wavelength released or absorbed by this equation
1/λ = R (1/n1 - 1/n2)
where R is Rydberg constant (1.097 × 10⁷ /m)
From the question above, we know that
n1 = 3
n2 = 5
By substituting the following parameter, we get
1/λ = R (1/n1 - 1/n2)
1/λ = 1.097 x 10⁷(1/3 - 1/5)
1/λ = 146266.67
λ = 6.8368 x 10¯⁷ m
λ = 683.68 nm
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One of the frequencies used to transmit and receive cellular telephone signals in the united states is 850 mhz. What is the wavelength in meters of these radio waves?.
One of the frequencies used to transmit and receive cellular telephone signals in the United States is 850 MHz. 0.353m or 35.3cm is the wavelength in meters of these radio waves.
A waveform signal that’s carried in space or down a wire has a wavelength, which is that, the separation between two identical places (adjacent crests) in the consecutive cycles. This length is usually defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm). The meter, commonly abbreviated as m, is that the SI unit for wavelength. The multiples or fractions of a meter are also used to measure wavelength.
The wavelength of sunshine is a crucial characteristic since it establishes the nature of the light. Green light features a wavelength that is different from both of them, while red light features a wavelength that is different from blue light. The longest wavelengths are found in gamma rays. The light with the longest wavelength is red, which is at one extreme of the spectrum. The wavelength of blue or violet light is that the shortest. All of the colors in the color spectrum are combined to create white light.
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someone help me please.
Answer:
b. 19026000gk
a. 5.281
c. 219.2
Explanation:
Roll both a 10-sided fair die with an ace side and a 12-sided fair die with an ace side. (a) what is the chance that one, and only one, of the dice will land ace?
Roll both a 10-sided fair die with an ace side and a 12-sided fair die with an ace side.
The chance that one, and only one, of the dice will land ace is 1/6.
Fair dice are those that have an equal chance of falling face-up on the table. When each face of a conventional 6-sided die has the same probability of 1/6, it can be said that the die is "fair."
.Probability is the possibility of rolling one die and getting a finite number (1, 2, 3, 4, 5, and 6). The fundamental principle of probability is to calculate it by dividing the number of outcomes that are possible by the result that you are anticipating. Therefore, a die has six faces or sides, and there are six equivalent likelihoods for each roll. Regardless of which number you select, there is only one result you are hoping for.
P (only one Ace) =[tex](1/10)(11/12)+(9/10)(1/12)[/tex]
[tex]=20/120[/tex]
[tex]=1/6[/tex]
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Cheggexplain how liquidity black holes occur. how can regulation lead to liquidity black holes?
When financial market liquidity abruptly disappears, it is this that causes the majority of financial crises.
What is liquidity black holes?When market liquidity runs out as a result of herd behaviour, when everyone starts trading on one side and starting to sell, liquidity black holes happen. In typical markets, buyers and sellers can both be found there at the same time. Markets are oversold, everyone wants to sell, and there is a dry up of liquidity when there are liquidity black holes. Trading financial instruments costs money. Trading financial assets is simple and inexpensive when there is market liquidity. Liquidity gaps result in the collapse of asset values, the failure of financial assets, and the complete loss of public confidence in the financial system.
Banks may be required to raise capital if authorities enforce new regulatory standards in response to a rise in volatility. This will drive all of the banks to sell, so reducing their exposure, and all of the banks will engage in similar trading. Some people will need to adopt a contrarian approach and respond in a different way than the majority of people are doing in order to prevent a liquidity crisis.
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A certain car is capable of accelerating at a rate of 0.60m/s. how long does it take for this car to go form a speed of 55 mi/h to 60mi/h?
By using uniform motion, the time taken to accelerate is 3.72 seconds.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
a = 0.6 m/s²
vo = 55 mi/h
vt = 60 mi/h
Convert the velocity to m/s
vo = 55 mi/h
vo = 55 x 1609.34/3600 m/s
vo = 24.59 m/s
vt = 60 mi/h
vt = 60 x 1609.34/3600 m/s
vt = 26.82 m/s
Find the time taken
vt = vo + a . t
26.82 = 24.59 + 0.6t
0.6t = 2.23
t = 3.72 seconds
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A 15.2 kg mass has a gravitational potential energy of -342 j. how high from the ground is it?
According to potential energy, the height of the object is 2.296 meters.
We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as
PE = m . g . h
where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.
From the question above, we know that
PE = 342 joules
m = 15.2 kg
By substituting the given parameters, we can calculate the height
PE = m . g . h
342 = 15.2 . 9.8 . h
148.96 h = 342
h = 2.296 meters
Hence, the height of the object from the ground is 2.296 meters.
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You are traveling on an airplane. The velocity of the plane with respect to the air is 120 m/s due east. The velocity of the air with respect to the ground is 43 m/s at an angle of 30° west of due north.
1) What is the speed of the plane with respect to the ground?
2) What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east).
3) How far east will the plane travel in 1 hour?
For the distance you'll have to make a right triangle and solve for the missing side (x). Since the plane isn't traveling directly in the east direction it wont be exactly the m/s multiplied by one hour.
3. 1 hr = 3600s.
d = Vt = 163.7m/s * 3600s = 589,320m.
The binary system is used by computers for
transporting
energy
communication
I believe communication is the right answer.
Answer:
yes it's communication
A person walks forwards 3 steps in 1 second. Then, the person walks backwards 3 steps in 1 second. Sketch the position-time graph for his movement.
1 What was his distance travelled?
2What was his displacement?
please with your graph
Answer:
Traveled = 6 steps displacement = 0
Explanation:
see attached 'sketch'
Which answer best describes the processfor calculating the volume of a solution where 5.7 g of ca(no3)2(aq) is dissolved in a 4.00 m aqueous solution?
The volume of solution is 8.67ml, while calculating the volume of a solution where 5.7 g of ca(no3)2(aq) is dissolved in a 4.00 m aqueous solution.
DescriptionThe value of 6.023 x 1023 is equal to one mole of any substance (Avagadro number). It can be used to quantify the chemical reaction’s byproducts.
The symbol for the unit is mol. How are the number of moles determined?When we know the mass of a compound, we may calculate how many moles there are.
Therefore, we can calculate the number of moles in a sample by simply weighing it and multiplying the result by the molecular weight. The number of moles is equal to the quotient we arrive at in this case.
How many moles are there in chemistry?A mole is 6.02214076 x 1023 of any chemical unit, including atoms, molecules, ions, and others.
CalculationMaa of Ca(NO3)2 = 5.7g
Molar mass of Ca(NO3)2 = 164.09 g/mol
Number of moles of solute [Ca(No3)2] = mass/molar mass
= 5.7/ 164.09 g/mol
= 0.0347 mol
Hence the number of moles of solute is 0.0347 moles
Then we have
Molarity of solution = 4 M
Molarity = Moles of solute/ Volume of solution(l)
Volume of solution (L) = Moles of solute [Ca(No3)2] / Molarity of solution
= 0.0347 / 4
=0.00867 L
= 8.67 ml
Hence the volume of solution is 8.67
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When I was young and single, there was a woman at my church who found me attractive. She invited me over to her parents’ house for Thanksgiving, and I met her father. Her father looked like me, dressed like me, had the same beard style that I did, and even had the same first name as me. Clearly her positive emotional response to me had something to do with the strong resemblance between me and her father. This situation shows the power of _______ in shaping emotional reactions.
This situation shows the power of positive emotion in shaping emotional reactions.
What is the power of positive emotions?We as people often enjoy feeling positive emotions when they are said to be enjoyable to experience. Note that Positive emotions is one that help us see new kinds of possibilities, and thus it is one that makes it easier for us to learn new things and boast as well our talents.
As a result, a person can be able to perform better in regards to assignments as well as assessments. People who do regularly experience any form of good emotions are people who have a ability to be happier, healthier, well intelligent, as well as socially adept.
Therefore, based on the above, This situation shows the power of positive emotion in shaping emotional reactions.
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Write a detailed note on the types of motion
Motion means movement, the laws of Physics state there are mainly 4 types of motion, i.e.
Rotary Motion: It is the type of motion which deals with rotation of body, it is a special type of motion in which the object is on rotation around a fixed axis like, a figure skater rotating on an ice rink.
Oscillatory Motion:It is a repeating motion in which an object continuously repeats in the same motion again and again like a swing.
Linear Motion: It is a one-dimensional motion on a straight line, like an athlete running on a straight track.
Reciprocating Motions: A repetitive and continuous up and down or back and forth motion like a needle in a sewing machine
There are also different other types of motion as per directions or as per state of motion.
Types of motion as per state
Uniform Motion
Non-Uniform Motion
Types of motion as per direction
One Dimensional Motion
Two Dimensional Motion
Three Dimensional Motion
Is the independent variable in the gamble and walker article measured or manipulated?
In Hypothesis 1, the voltage was intentionally manipulated as the independent variable.
In Hypothesis 2, the resistance was intentionally manipulated as the independent variable and the dependent variable measured in both cases was the current.
Has an independent variable been changed?In an experiment, the independent variable is a manipulated variable. Due to the fact that you may alter it, it is termed the “manipulated” one. In other words, you can choose in advance whether to raise it or lower it. Only one variable should be being changed at a time throughout an experiment.
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What is the index of refraction of a material in which the red-light wavelength is 450 nm?.
The index of refraction of the material through which red light passes is n = 1.44
What is the refractive index?The index of refraction is the ratio of the speed of propagation of the speed of light in a vacuum to the speed of light in a given medium.
n = c/v
What is Refraction?The relationship is studied by Snell's Law, and relates the index of refraction in different media and allows us to find the angles of refraction of a ray of light, by means of the equation:
The wavelength of red light in vacuum is 650nm, if in the material the wavelength value is 450nm, we apply the following equation:
f = C/λ
f = 3×10⁸m/s / 650×10⁻⁹m
f = 4.61×10¹⁴ Hz
V = λf
V = 450×10⁻⁹m * 4.61×10¹⁴ Hz
V = 207450000 m/s
n = 3×10⁸m/s / 207450000 m/s
n = 1.44
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A car is traveling with a speed of 60.5 miles per hour (mi/h). What is the car's speed in meters per second (m/s)?
The speed of 60.5 miles per hour (mi/h) expressed in meters per second (m/s) is: 27.046 m/s
To solve this problem the we have to convert the units with the given information.
Information about the problem:
v = 60.5 miles/hv(m/s) = ?1 h is equivalent to 3600 s1 mile is equivalent to 1609.34 mBy converting the velocity units from (miles/h) to (m/s) we have:
60.5 miles/h * (1609.34 m / 1 miles) * (1 h / 3600 s) = 27.046 m/s
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
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physics is hardddd. please help me
a. x and y component of the vectors are 1,178.2 m/s and -549.4 m/s respectively.
b. x and y component of the vectors are -1.368 m and -3.76 m respectively.
c. x and y component of the vectors are 2.7 N and 12.72 N respectively.
d. x and y component of the vectors are 17.32 m/s²and -10 m/s²respectively.
What is horizontal and vertical component of vector?
The horizontal component of a vector is the -component of the vector. The vertical component, of a vector is the -component of the vector.
a. x and y component of the vectorsVx = 1300 x cos (-25)
Vx = 1,178.2 m/s
Vy = 1300 x sin(-25)
Vy = -549.4 m/s
d. x and y component of the vectorsdx = 4 m cos(250)
dx = -1.368 m
dy = 4 m sin(250)
dy = -3.76 m
c. x and y component of the vectorsfx = 13 N cos(78)
fx = 2.7 N
fy = 13 N sin(78)
fy = 12.72 N
d. x and y component of the vectorsax = 20 m/s² x cos(330)
ax = 17.32 m/s²
ay = 20 m/s² x sin(330)
ay = -10 m/s²
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Name three input components
Answer:Examples of input devices include keyboards, mouse, scanners, cameras, joysticks, and microphones.
pls mark brainliest
Explanation:
Find a vector equation for the tangent line to the curve of intersection of the cylinders x^2 y^2=5 and at the point . answer
Literally, it meant that the circle formed by x² + y² = 25 "contains" the curve. C is more specifically located on the 5 radian cylinder's edge.
The circle x²+y²=25 makes up each bend of the cylinder, as you can see.
The cylinder has two key characteristics, namely surface area and volume because it is a three-dimensional form. The combined curved surface of the cylinder and the areas of the two rotating bases make up its whole contact area.
A cylinder's volume is the term used to describe the three-dimensional space it takes up.
On the cylinder's 5 radian edge, C is located.
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what would have a longer vector arrow
Answer:
d
Explanation:
Which would have a longer vector arrow?
a: A vector representing 100 miles/hour north
b: Avector representing 100 miles/hour east
c: A vector representing 100 miles/hour south
d: They would all be the same length
was this the full question
In the figure below the card Is flicked with a push . It was observed that the card moves ahead while coin falls in glass
The cards are observed to move forward as the coins gel in the jar. This happens because the coin has rest inertia. Rest inertia is the resistance that an object exerts at rest. resist change and fall into the glass.
Coins have inertia. If you move the card slowly, it won't be fast enough to overcome this force. With a quick flick, the coin stays in one place and falls into the cup. A stationary object remains stationary. You could change position and fall to the ground or be inside the glass. This is because the paper changes its position when a strong force is applied or a quick pull is applied.
The law of inertia, also known as Newton's first law, states in physics that if an object is at rest or moving in a straight line with a constant velocity, it is at rest or moving in a straight line with a constant velocity. We assume that This is when a force is applied.
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The fastest speed traveled on land have been achieved by rocket powered cars. Suppose that a car starts from rest and reaches a speed of 1090 km/hr in a distance of 20.0kn. How long does it take to make the drive?
The time taken by the car is 0.018 hours.
What is speed?Speed is the ratio of the distance covered by a body to the time taken. We know that it can also be defined as the rate at which a body moves from one point to another.
We have the following information from the question;
Speed of the car = 1090 km/hr
Distance covered by the car = 20.0km
Speed = distance/time
time = distance/speed
time = 20.0km/1090 km/hr
time = 0.018 hours
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the person is standing on ice with little to no friction. What will be the motion of the person applying the force to the object
? A begin to move to the right because that is the direction of the push
B no change in motion because the person is pushing the object
C begin to move to the left because the object pushes on the person
D begin to move to the right with the object
No change in motion because the person is pushing the object
It resists motion, thus if something is sliding on the floor, friction is the force that finally brings it to a halt. If there was no friction, the item would continue to glide indefinitely unless moved on by another force.
Some surfaces are naturally less frictional. Ice may be thought of as a slippery surface. It does not qualify as a frictionless surface. No, zero friction surfaces are not possible. Even if we use a lot of lubricants, friction will be minimized, but it will never be zero since every surface has slight flaws.
The majority of experts agree that ice exhibits minimal friction because of a thin layer of liquid water on its surface. Skaters using thin metal blades can therefore glide effortlessly over the ice rink but grind to a standstill on the hardwood floor beyond.
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