Gretchen runs the first 4.0 km of a race at 5.0 m/s. then a stiff wind comes up, so she runs the last 1.0 km at only 4.0 m/s. It takes Gretchen a total time taken of 1050 seconds to complete the race.
To determine the total time it takes for Gretchen to complete the race, we can calculate the time taken for each segment and then sum them.
Given:
Distance of the first segment (\(D_1\)) = 4.0 km = 4000 m
Velocity of the first segment (\(V_1\)) = 5.0 m/s
Distance of the second segment (\(D_2\)) = 1.0 km = 1000 m
Velocity of the second segment (\(V_2\)) = 4.0 m/s
For the first segment, the time taken (\(T_1\)) is given by:
\(T_1\)= \(D_1\) / \(V_1\)
= 4000 m / 5.0 m/s
= 800 s
For the second segment, the time taken (\(T_2\)) is given by:
\(T_2\)= \(D_2\) / \(V_2\)
= 1000 m / 4.0 m/s
= 250 s
Now, we can calculate the total time (\(T_{total\)) taken for the entire race:
\(T_{total\)= \(T_1\)+ \(T_2\)
= 800 s + 250 s
= 1050 s
Therefore, it takes Gretchen a total of 1050 seconds to complete the race.
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Ya'll I been thinking...
is cereal really just a type of soup?
Answer:
Your a genius!
Explanation:
a 2500-n pile-driver ram falls 10 m and drives a post 0.1 m into the ground. the average impact force on the ram is
The average impact force on the ram is 250,000 N.
It is given to us that -
The weight of the pile driver is given as 2500 N
The pile driver ram falls at a height of 10 m
The post travels 0.1 m into the ground as a result of the pile driver
We have to find out the average impact force on the ram.
We know, with constant force, work can be represented as -
\(W=Force * distance\) ---- (1)
where,
F = force applied in (N - m)
d = distance for which the force is applied
Similarly, the potential energy of a system can be represented as -
\(Potential Energy = mgh\)
where,
m = mass of the system
g = acceleration due to gravity
h = height travelled by the system
Since weight, weight = mass * g, we can write the above formula for potential energy as -
\(Potential Energy = weight * height\) ----- (2)
Now, according to the given information in the problem, the work done by the post should be equal to the potential energy of the pile driver.
So, from equations (1) and (2), we can say that -
\(W = Potential Energy\\= > Force * distance = weight * height\\= > F * 0.1 = 2500 * 10\\= > F = \frac{2500 * 10}{0.1}\\ = > F = 250,000 N\)
Thus, the average impact force on the ram is 250,000 N.
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a force that is at rest or moves in at a constant speed and in a constant direction is called a what force
The question is fishing for "balanced force".
But the description in the question is terrible.
A ball is thrown upward from a cliff. The ball rises to its maximum height and then falls into the valley below. Suppose the ball is thrown upward at 30m/s and lands 9s after it is thrown. What is the height of the cliff?
Answer:
The height of the cliff is approximately 127.31 meters
Explanation:
The given parameters are;
The upward speed of the ball = 30 m/s
The time after the ball is thrown before it lands = 9 s
We have;
The time to maximum height;
v = u - g·t
Where;
v = The velocity at maximum height = 0 m/s
u = Initial velocity = 30 m/s
g = The acceleration due to gravity = 9.81 m/s²
∴ 0 = 30 - 9.81 × t
t = 30/9.81 = 3.06 s
The maximum height can be obtained from;
v² = u² - 2·g·s
v = 0 m/s
u² = 2·g·s
30² = 2 × 9.81 × s
s = 30²/(2×9.81) = 45.87 m
The time from maximum height to landing = 9 - 3.06 = 5.942 s
The height to landing
s = u·t + 1/2·g·t².
Here, u = 0 m/s
s = 0×5.942 + 1/2×9.81×5.942² = 173.1766 m
s = 173.1766 m.
The height of the cliff = 173.1766 m. - 45.87 m. ≈ 127.31 m.
A ray of light traveling in air strikes the surface of a liquid. If the angle of incidence is 27.7◦ and the angle of refraction is 22.7◦, find the critical angle for light traveling from the liquid back into the air. Answer in units of ◦.
The critical angle for light traveling from the liquid back into the air is 42.0°.
How to calculate critical angle?The critical angle is the angle of incidence in the first medium (air) at which all of the light is refracted into the second medium (liquid).
The formula for the critical angle is:
sin(c) = n₂/n₁
where:
c is the critical angle
n₂ is the index of refraction of the second medium
n₁ is the index of refraction of the first medium
In this case:
n₁ = 1.00
n₂ = 1.33
Substituting these values into the formula:
sin(c) = 1.33/1.00
c = sin⁻¹(1.33/1.00)
c = 42.0°
Therefore, the critical angle for light traveling from the liquid back into the air is 42.0°.
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What is the purpose of oil used in a car's engine?
A) to make it shiny
B) to reduce friction
C) as fuel for the engine
D) to prevent the gasoline from burning
HELPP PLEASE
Where is the south pole of the bar magnet, based on the magnetic field lines
shown?
A. On the right end
B. On the bottom edge
C. On the left end
D. On the top edge
SUBMIT
it would be on the right end I believe. Forgive me if I am incorrect.
guys pls thi is my last pointa just answer this!!!!(WILL GIVE BRAINLY) A student takes apart a wooden box. What can they build with the materials from the box?
A) They cannot make anything with the materials.
B) They can make something new with the materials.
C) They can only make a wooden box from the materials.
Answer:
i guess u could pick "B" :)
Explanation:
Ill give brainliest! 1. Which item below describes a quick change to
Earth's landscape?
A. a stone becoming smooth
B. dirt moving down a steep hill
C. flat land becoming a canyon
D. a glacier flattening the land below it
Answer:
hmmmmm
Explanation:
I am gonna say D.
if I am right plz give me a brainliest
how do i multiply 9.6 by 3/2
Solve the given problem as
\(\begin{gathered} x=9.6\times\frac{3}{2} \\ =9.6\times1.5 \\ =14.4 \end{gathered}\)what does is mean for an object in space to be red shifted/blue shifted?
The object is known as buleshift.
What is object?Object is a type of thing that can be seen or touch but it's is never alive .
When an object is moving to the away from us, the light from the object is known as if the redshift, and when an the object is moving to the towards us, the light from to the object is known as of the blueshift. Astronomers use by the redshift and blueshift to deduce how far an object is away from Earth, in the concept of key to charting by its the universe's expansion.
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Which statement describes an example of irresponsible parenting?
if 22.0 kg of ice at 0.00 °c is combined with 4.80 kg of water vapor at 100.0 °c, what will be the final equilibrium temperature (in °c) of the system
The final equilibrium temperature (in °C) of the system when ice and water vapor are combined can be calculated using the principle of energy conservation and the specific heat capacities of ice and water.
To determine the final temperature, we can apply the equation:
(m₁ * c₁ * ΔT₁) + (m₂ * c₂ * ΔT₂) = 0
Where:
- m₁ is the mass of ice (22.0 kg)
- c₁ is the specific heat capacity of ice (2.09 J/g·°C)
- ΔT₁ is the change in temperature of ice (final temperature - 0.00 °C)
- m₂ is the mass of water vapor (4.80 kg)
- c₂ is the specific heat capacity of water (4.18 J/g·°C)
- ΔT₂ is the change in temperature of water (final temperature - 100.0 °C)
Solving for the final temperature, we find:
(22.0 kg * 2.09 J/g·°C * ΔT₁) + (4.80 kg * 4.18 J/g·°C * ΔT₂) = 0
Substituting the given values, we can solve for ΔT₁ and ΔT₂. Once we have those values, we can find the final temperature by adding ΔT₁ to 0.00 °C.
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?course_assessment_id=_192597_ Remaining Time: 23 minutes, 45 seconds. * Question Completion Status: Moving to the next question prevents changes to this answ
The relationship between the speed of light and the refractive index of a medium is essential in understanding the propagation of light in different materials.
The refractive index (n) of a medium is defined as the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v). Mathematically, n = c/v. When light passes through a medium, it slows down due to interactions with atoms or molecules in the material, resulting in a decrease in speed compared to its velocity in a vacuum. The refractive index determines how much light is bent or refracted as it enters a different medium, impacting phenomena like refraction, reflection, and dispersion. This relationship plays a crucial role in various applications, such as optics, telecommunications, and the study of wave behavior in different media.
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--The complete Question is, What is the relationship between the speed of light and the refractive index of a medium, and how does it affect the propagation of light in different materials?--
A (1.03x10^2)-mA current is used to charge up a parallel plate capacitor. A large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides. What is the value of the integral ∮B⃗ .ds⃗ around the perimeter of the paper? Express your result in T.m with three significant figures.
Since a 1.03 × 10² mA current is used to charge up the parallel plate capacitor and a large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm
Ampere's LawThis shows the relationship between the magnetic field, B, the path of integration, ds and the current enclosed by the magnetic field, i.
Ampere's law is given mathematically as
∫B.ds = μ₀i where
B = magnetic field, ds = arc length of path of integration, μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A and i = current enclosed by the path of integration, ds.Given that for the large square piece of paper, the current used to charge the capacitor is
i = 1.03 × 10² mA = 1.03 × 10² × 10⁻³ A = 1.03 × 10⁻¹ A and ds = path length around the perimeter of the paperThe value of ∫B.ds around the perimeter of the paperSince ∫B.ds = μ₀i
Substituting the values of the variables into the equation, we have
∫B.ds = μ₀i
∫B.ds = 4π × 10⁻⁷ Tm/A × 1.03 × 10⁻¹ A
∫B.ds = 4.12π × 10⁻⁸ Tm
∫B.ds = 12.94 × 10⁻⁸ Tm
∫B.ds = 1.294 × 10⁻⁷ Tm
∫B.ds ≅ 1.29 × 10⁻⁷ Tm
So, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm
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Hey guys Im Anushka from India... pls help me out in this question..
What is linear motion?
What is rotational motion?
Answer:
Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension.
Explanation:
Rotation around a fixed axis is a special case of rotational motion. The fixed-axis hypothesis excludes the possibility of an axis changing its orientation and cannot describe such phenomena as wobbling or precession
HELP PLS
HELP PLS
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HELP PLS
Explanation:
Refer the explanation in the picture
A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank
The work done in pumping all the liquid out of the tank is 2500π lb-ft.
Work done calculationThe potential energy of an object is given by the formula:
PE = mgh
Given:
Density of oil = 50 lb/ft^3
Diameter of the tank = 10 ft ( r = 5 ft)
To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:
Volume of oil in the tank:
The volume of a hemisphere = (2/3) * π * (r^3)
Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3
Mass of the oil:
Mass = Volume * Density = (250π/3) * 50 lb
Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).
Finally, we can calculate the work done:
Work = PE = mgh = (250π/3) * 50 lb * 5 ft
Work = (250π/3) * 50 * 5 lb-ft
= 2500π lb-ft
So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.
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valency of oxygen is two. why??
Answer:
Tha valency of Oxygen is 2 because it need two atom of hydrogen to form water.
Answer:
because it gains two electrons to become a stable state.
a force that pushes a small mass will have _ effect on the acceleration than that same force pushing on na large mass
A. greater
B. smaller
C. same
Answer:
a
Explanation:an example An astronaut in space has the same mass as he does on earth while having different ... Newton's Second Law of Motion: Force = mass x acceleration ... Push less to move it (use less force.) ... Gravity has an effect on an object in the vertical direction only.
Answer:
it is a greater
Explanation:
hope it helps
Provide an example of a product you believe is elastic and
explain your answer. Provide an example of a product you believe is
inelastic and explain your answer.
Example of an elastic product: Smartphone
Explanation: A smartphone is an example of an elastic product. When the price of smartphones decreases, consumers tend to buy more of them, and when the price increases, consumers tend to buy fewer.
Example of an inelastic product: Prescription medication
Explanation: Prescription medication is an example of an inelastic product. Inelastic goods are those for which changes in price have little impact on the quantity demanded.
Example of an elastic product: SmartphoneExplanation: A smartphone is an example of an elastic product. When the price of smartphones decreases, consumers tend to buy more of them, and when the price increases, consumers tend to buy fewer. This is because smartphones are considered non-essential goods with substitutes available in the market. If the price of a particular smartphone model increases, consumers have the option to choose a different brand or model that offers similar features at a lower price. Similarly, if the price of smartphones decreases, consumers may be more willing to upgrade their existing devices or purchase additional smartphones as they become more affordable. The demand for smartphones is responsive to changes in price, making it an elastic product.Example of an inelastic product: Prescription medicationExplanation: Prescription medication is an example of an inelastic product. Inelastic goods are those for which changes in price have little impact on the quantity demanded. Prescription medication is often essential for maintaining health and treating medical conditions, and there may be limited substitutes available. When the price of prescription medication increases, consumers may still continue to purchase it regardless of the price change, as their health and well-being depend on it. The demand for prescription medication is relatively unresponsive to changes in price because it is a necessity and does not have easily accessible alternatives. People are generally willing to pay higher prices for medications they need, even if it means reducing spending on other goods and services. Thus, prescription medication is considered an inelastic product.For more such questions on elastic and inelastic product, click on:
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#1)
A 500 Hz triangular wave with a peak amplitude of 50 V is applied to
the vertical deflecting plates of a CRO. A 1 kHz saw tooth wave with a
peak amplitude of 100 V is applied to the horizontal deflecting plates.
The CRO has a vertical deflection sensitivity of 0. 1 cm/V and a
horizontal deflection sensitivity of 0. 02 cm/V. Assuming that the two
inputs are synchronized, determine the waveform displayed on the
screen?
[2 Marks]
The CRO (Cathode Ray Oscilloscope) will display a triangular wave that is vertically stretched and horizontally compressed.
The vertical deflection plates will cause the triangular wave to be displayed with a peak-to-peak amplitude of\(100 cm (50 V * 0.1 cm/V)\), while the horizontal deflection plates will cause sawtooth wave to be displayed with a peak-to-peak amplitude of \(5000 cm (100 V * 0.02 cm/V).\) The synchronization of the two inputs will ensure that the triangular wave and the sawtooth wave are displayed in a coordinated manner, with each cycle of the sawtooth wave corresponding to five cycles of the triangular wave. The resulting display will show a pattern of diagonal lines that gradually rise and then quickly drop back to the starting position, with each line representing a cycle of the sawtooth wave.
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A wave traveling in a string has a wavelength of 35 cm, an amplitude of 8.4 cm, and a period of 1.2 s. what is the speed of this wave?
The equation will be of the given statement:
y(x,t) = (0.084)sin(18x - 5.2t)
What is Wavelength?The distance a wave travels from one crest to another or from one trough to another is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The peak of the wave is called the crest, while the trough is its base.
According to the given information:wavelength = 35cm = .35m
amplitude A = 8.4 cm
Time = 1.2s
The speed of this wave:
In the positive x direction, the wave is moving in a string. For these circumstances, we must write the wave equation.
When the wave is moving in the +x direction, the following general equation describes it:
Y = Asin( kx - wt )
A is amplitude
k is propagation constant
k = 2π/λ
k = 2π/0.35
k = 17.95 = 18m^-1
ω is angular frequency
ω = 2π/T
ω = 2π/1.2
ω = 5.23s^-1
The equation will be:
y(x,t) = (0.084)sin(18x - 5.2t)
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I understand that the question you are looking for is:
A wave traveling in a string in the positive x direction has a wavelength of 35 cm, an amplitude of 8.4 cm, and a period of 1.2 s. What is the wave equation (in base SI units) that correctly describes this wave
An atom has 15 neutrons, 19 electrons, and 20 protons. What is the charge of this atom?
Because the number of electrons and protons in a neutral atom is the same, this atom's charge is zero.
The number of electrons in a neutral atom is the same as the number of protons. In the case of this atom, there are 19 electrons and 20 protons, resulting in a charge of +1. This atom is a cation since it has more protons than electrons.The atomic number of an element is determined by the number of protons in its nucleus, and it is represented by the symbol Z. The total number of protons and neutrons in an atom's nucleus is called its mass number, and it is represented by the symbol A. The number of neutrons in an atom can be determined by subtracting the atomic number (Z) from the mass number (A).In this particular atom, there are 20 protons and 15 neutrons. The mass number is 20 + 15 = 35. The atomic number, on the other hand, is 20. As a result, this element is a neutral atom with 20 electrons.
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a 415-kg container of food and water is dropped from a airplane
Since the object is experiencing free fall, if you ignore air resistance, the time it will take the container to fall 300m to the ground is 7.82 seconds.
What is free fall?Any motion of a body in which gravity is the only force acting on it is referred to as free fall.
The object dropped from the airplane is experiencing free fall.
Ignoring air resistance, the only force acting on the container is the force of gravity which accelerate the container by a constant value.
The time taken for the object to reach the ground is determined using the formula of an object experiencing free fall as given below:
s = ut + ¹/₂gt²
where
h is the height above the ground = 300 m
u is the initial vertical velocity of the container and is equal to zero since the object starts from rest.
g is the acceleration of gravity = 9.8 m/s²
t is the time = ?
The equation above becomes;
h = ¹/₂gt² since u is zero
Solving the equation for t:
t = √2h/g
t = √2 * 300 / 9.8
t = 7.82 seconds.
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Complete question:
A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.
1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?
Newtons and Coulombs Laws QC
(Look to the bottom for answers 100% correct)
1. Which law gives the force between two objects that is related to their mass and distance?
A. Newton's second law of motion
B. Kepler's law
C. Newton's law of gravitation
D. Coulomb's law
2. What is the property that allows a positive proton and a negative electron to feel an attraction between each other?
A. Mass
B. Weight
C. Charge
D. Spin
3. In which case would there be an electrostatic force between two objects?
A. Two positively charged objects
B. A negatively charged object and a neutral object
C. A positively charged object and a neutral charged objects
D. Two neutral objects
4. Which statement is correct about electrostatic force?
A. It can have a positive or negative value
B. It is only observed between two electrons
C. It depends on the mass if the charges
D. It is independent of the distance between charges
5. In the simulation, two charges are both set to +4 uC. Then one of the charges is charged to -4 uC. Which statement describes the situation?
A. The electrostatic force is originally repulsive and stays repulsive.
B. The electrostatic force is originally attractive and stays attractive.
C. The electrostatic force changes from attractive to repulsive.
D. The electrostatic force changes from repulsive to attractive.
Answers:
1. C
2. C
3. A
4. A
5. D
BE SURE TO CHECK THE ORDER OF YOUR ANSWER CHOICES BECAUSE THEY CAN CHANGE.
100% is guaranteed
1c 2c 3a 4a 5d
Explanation:
I just know.
ur welcome.
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You throw an orange out a widow at a height of 12 meters upwards at an angle of 32 to the horizontal with an initial velocity of 3.5m/s.How long will the orange be in flight before it hits the ground? Round the answer to the nearest tenth.__ Seconds
Answer:
3 meters
Explanation:
add up dum boi
A 2.3 cm-tall object is placed 5.3 cm in front of a convex mirror with radius of curvature 24 cm. What is the image distance, in centimeters? Include its sign. What is the image height, in centimeters? Include its sign.
The given problem involves calculating the image distance and image height of an object placed in front of a convex mirror, given the object's height and the mirror's radius of curvature.
Specifically, we are asked to determine the distance and height of the image formed by the mirror.
To calculate the image distance and image height, we need to use the mirror equation, which relates the object distance, image distance, and focal length of the mirror. The mirror equation can be expressed as 1/f = 1/d_o + 1/d_i, where f is the focal length, d_o is the object distance, and d_i is the image distance.Using the given parameters and the mirror equation, we can calculate the image distance of the object formed by the convex mirror.
Overall, the problem involves applying the principles of optics to calculate the image distance and image height of an object placed in front of a convex mirror. It requires an understanding of the mirror equation, magnification equation, and how these equations relate to the object distance, image distance, object height, image height, and focal length of the mirror.
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The inner planets have a smaller diameter than the outer planets.
True
False
Answer:true
Explanation:
Put the following stages of the formation of the solar system in order
= condensation of gases/dust into a protostar
= nuclear fusion begins in the new star (the sun) setting up a temperature profile in the solar system that will impact planetary formation
=a Solar nebula is created in the milky way galaxy during the initial period of time AFTER the big bang
= the formation of planets is completed
condensation of matter into multiple smaller bodies that will eventually become planets
solar winds push lighter materials to the outer regions of the universe
The correct order of the formation of the solar system are:
A solar nebula is created in the milky way galaxy during the initial period of time AFTER the big bangCondensation of gases/dust into a protostarNuclear fusion begins in the new star (the sun) setting up a temperature profile in the solar system that will impact planetary formationCondensation of matter into multiple smaller bodies that will eventually become planetsSolar winds push lighter materials to the outer regions of the universeThe formation of planets is completed.What is a solar system?A solar system consist of the sun and other planetary bodies revolving around the sun. Sun is the center of the energy where other planets derive their energies from.
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