A roller coaster passes over the top of the hill going 2. 7 m/s and reacts the bottom going 14m/s
A)How high is the hill?
B)What is spread half way down?
(Energy problem)
Answers
The height of the hill will be h' = (1/2)(v_i^2)/g
The spread halfway down is equal to half of the initial potential energy of the roller coaster at the top of the hill.
The spread halfway down is equal to half of the initial potential energy of the roller coaster at the top of the hill.
To solve this energy problem, we can utilize the principles of conservation of energy. The total mechanical energy of the roller coaster, consisting of its potential energy (PE) and kinetic energy (KE), remains constant throughout the ride.
A) To determine the height of the hill, we can equate the initial and final mechanical energies of the roller coaster at the top and bottom of the hill, respectively.
At the top of the hill:
Initial mechanical energy (E_i) = PE_i + KE_i = mgh + (1/2)mv_i^2
At the bottom of the hill:
Final mechanical energy (E_f) = PE_f + KE_f = mgh' + (1/2)mv_f^2
Since the roller coaster is at the top of the hill, its final kinetic energy (KE_f) is zero because it has come to a stop momentarily. Therefore, we have:
E_i = PE_i + KE_i = PE_f + KE_f = mgh + (1/2)mv_i^2 = mgh'
We are given that the roller coaster's initial velocity at the top of the hill (v_i) is 2.7 m/s, and its final velocity at the bottom (v_f) is 14 m/s.
Substituting these values into the equation, we get:
(1/2)mv_i^2 = mgh'
Simplifying and solving for h', the height of the hill, we have:
h' = (1/2)(v_i^2)/g
where g is the acceleration due to gravity (approximately 9.8 m/s^2).
B) To find the spread halfway down, we need to calculate the difference in potential energy between the top and halfway down the hill.
The potential energy at the top of the hill (PE_i) is given by mgh, and the potential energy halfway down (PE_half) is given by (1/2)mgh.
The spread halfway down is the difference between these two potential energies:
Spread halfway down = PE_i - PE_half = mgh - (1/2)mgh = (1/2)mgh
Therefore, the spread halfway down is equal to half of the initial potential energy of the roller coaster at the top of the hill.
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Related Questions
I need help on number six... I need to use the kinematics formula.
Answers
Given:
Height = 0.8 m
Initial velocity = 7.6 m/s
Given that the ball goes straight up, let's solve for the following.
(a) What will be the ball's velocity when it gets back to its original height.
Since the ball has an initial velocity of 7.6 m/s, the ball's velocity when it gets back to its original height will be the opposite of the initial velocity.
Here, the final velocity will be the same as the initial velocity but in the downward direction.
Therefore, the ball's velocity when it gets back to its original height will be -7.6 m/s
(b) How long will it take the volleyball to get to the top of its path.
To find how long it will take the volleyball to get to the top of its path, apply the formula:
\(v^2_f=v^2_i+2ad\)Where:
vf is the final velocity at its maximum height = 0 m/s
vi is the initial velocity = 7.6 m/s
a is acceleration due to gravity = -9.8 m/s^2
d is the displacement
Let's solve for the displacement.
We have:
\(\begin{gathered} d=\frac{v^2_f-v^2_i}{2a} \\ \\ d=\frac{0^2-7.6^2}{2(-9.8)} \\ \\ d=2.95\text{ m} \end{gathered}\)Now, to find the time it will take, apply the formula:
\(v_f=v_i+at\)Where t is the time.
We have:
\(\begin{gathered} 0=7.6+(-9.8)t \\ \\ t=\frac{-7.6}{-9.8} \\ \\ t=0.78s \end{gathered}\)ANSWER:
(a) -7.6 m/s
(b) 0.78 s
Which statements describe a situation in which work is being done? Select three options. A mover carries a box up a flight of stairs. A mover carries a box across a room. Wind blows against a steel table anchored to the ground. Wind blows a pool chair across the yard. A weightlifter lifts a barbell off the ground. A weightlifter holds a barbell above the head.
Answers
Answer:
ADE
Explanation:
Answer:
-A mover carries a box up a flight of stairs.
-Wind blows a pool chair across the yard.
-A weightlifter lifts a barbell off the ground.
Explanation:
TRUSTTTT A HOOOEEEE
How does the
gravitational attraction
between people
compare to the gravitational
attraction between the
people and Earth?
Answers
Attraction between people is Gravitation while people and earth is Gravity.
Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.
Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.
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Which of the following situations violates the second law of
thermodynamics?
OA. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 80 J of heat to a hot reservoir.
B. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 70 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 120 J of heat to a hot reservoir.
D. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 20 J of heat to a cool reservoir.
Answers
C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
What would violate the second law of thermodynamics?In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.
A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.
The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.
The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:
Clearly, if the thermal efficiency of a heat engine is 100 percent,
Qin=Wout
If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.
Therefore:
A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
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Need help please help.
Answers
Answer:
below
Explanation:
that is the procedure above
A ball is thrown horizontally from the top of a
building 110 m high. The ball strikes the ground
74 m horizontally from the point of release. What
is the speed of the ball just before it strikes the
ground?
Answer in units of m/s.
Answers
The speed of the ball just before it strikes the ground is 46.4 m/s
Motion Under Gravity
Motion under gravity is also known as vertical motion. The gravity act only on the vertical component of the velocity.
Given that a ball is thrown horizontally from the top of a building 110 m high. The ball strikes the ground 74 m horizontally from the point of release.
The time taken for the ball will be
h = ut + 1/2gt²
but u = 0
110 = 1/2 × 9.8 × t²
110 = 4.9t²
t² = 110 / 4.9
t² = 22.45
t = √22.45
t = 4.74 s
The speed of the ball just before it strikes the ground will be
v² = u² + 2gH
v² = 0 + 2 × 9.8 × 110
v² = 2156
v = √2156
v = 46.4 m/s
Therefore, the speed of the ball just before it strikes the ground is 46.4 m/s
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Sort the resources into the correct category: renewable or nonrenewable.
Answers
Answer:
forests
renewable resources
nonrenewable resources
water
iron
oll
wind
silver
Renewable resources- Water
Forests
Wind
Non-renewable resources-
Oil
Iron
Silver
Lets consider few resources,
forests
water
iron
oll
wind
Silver
Renewable resources-
Water
Forests
Wind
Non-renewable resources-
Oil
Iron
Silver
What are renewable resources ?
"A renewable resource, also known as a flow resource, is a natural resource which will replenish to replace the portion depleted by usage and consumption, either through natural reproduction or other recurring processes in a finite amount of time in a human time."
What are non renewable resources?
"A non-renewable resource is a natural resource that cannot be readily replaced by natural means at a pace quick enough to keep up with consumption. "An example is carbon-based fossil fuels. The original organic matter, with the aid of heat and pressure, becomes a fuel such as oil or gas.
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Which name is given to the force that stretches the spring with a metal that weights it down
Answers
Answer:
gravity
Explanation:
ok what i understand from your query is that a spring balance with a metal piece attached to it is weighing it down, a spring balance is measured in newtons (f=ma), the acceleration part is gravity (-9.81 m/s^2). The metal piece is attached to the string.
hope this answers your question and please take my answer with a grain of salt and refer to some webpages or videos
How does the type of medium affect a sound wave?
Answers
Answer:
For a given force (as determined by the elastic modulus), "light" molecules can oscillate at a greater frequency than "heavy" molecules; so a less dense medium will have a higher frequency per wavelength (i.e. a higher wave speed) than a more dense medium. The speed of sound in air is 332m/s.
Explanation:
i need one more brainliest plz
Depending on the different mediums, sound can travel faster through them.
As the pom pom or other object flies through the air, it gradually slows down and lands. What two forces are causing the object to slow down and land on the ground?
Answers
What is your Momentum traveling 4 m/s with a mass of 70 kg?
Answers
Answer:
280
Explanation:
I used the equation for momentum, p=mv
70 x 4 = 280
which has greater momentum in this photo: the non-moving ship or the kayak moving at the slow speed of 1 meter in ten seconds?
Answers
The kayak has momentum since it is not zero, but a ship sitting rest must have momentum of zero.
What, by way of example, is momentum?-A moving bullet has a huge momentum since it has an exceptionally large velocity even if it has very little mass, therefore it is extremely difficult to stop. -A truck carrying a lot of cargo must slow down before a stop signal since it has a lot of momentum and the same speed.
What happens when momentum is reversed?Thus, an object's resistance towards change in movement (or lack of motion) is described by its inertia, and its amount of motion is described by its momentum.
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Draw a circuit diagram for the circuit of Figure P23.1.
Answers
The 100 Ω and 50 Ω have been joined in series and their combination is joined in parallel with 75 Ω, in the given picture. The circuit diagram shown below.
What is circuit diagram?A circuit diagram uses electrical symbols to show the various components of an electrical circuit graphically or visually. There is a lot of resistance in the voltmeter.
For the design (circuit design), fabrication (like PCB layout), and maintenance of electrical and electronic equipment, circuit diagrams are utilized. When illustrating Boolean algebraic expressions, circuit diagrams are helpful in the field of computer science.
We may create parallel and series circuits, which are two different sorts of circuits. Wires connect the various parts of a circuit. If there are no branches, the circuit is in series. If there are branches, the circuit is parallel.
Consider the 100 Ω and 50 Ω have been joined in series and their combination is joined in parallel with 75 Ω.
The circuit diagram drawing is as follows:
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The complete question is as follows:
Draw a circuit diagram for the circuit of Figure P23.1.
a copper wire has a diameter of 1.700 mm. what magnitude current flows when the drift velocity is 1.40 mm/s? (see example 20.3 of the textbook for useful information.)
Answers
To determine the magnitude of current flowing through a copper wire, we can use the equation that relates current, drift velocity, and the cross-sectional area of the wire.
In Example 20.3 of the textbook, it is stated that the current (I) is given by the equation:
I = n * A * v * q
Where:
I is the current,
n is the number density of charge carriers (electrons in this case),
A is the cross-sectional area of the wire,
v is the drift velocity of the charge carriers,
q is the charge of an electron.
Given that the drift velocity (v) is 1.40 mm/s and the diameter of the wire is 1.700 mm, we can calculate the cross-sectional area (A) of the wire. The diameter of the wire is twice the radius, so the radius (r) is 1.700 mm / 2 = 0.850 mm = 0.850 × 10^(-3) m.
The cross-sectional area (A) of the wire can be calculated using the formula for the area of a circle:
A = π * r^2
Substituting the values, we have:
A = π * (0.850 × 10^(-3))^2
Now we can calculate the current (I) using the known values for the number density (n) and the charge of an electron (q):
I = n * A * v * q
Remember to convert all units to SI units (meters and coulombs) for accurate calculations.
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If 29.5 ml of 0.150 m hcl neutralizes 25.0 ml of a basic solution, what was [oh] in the basic solution
Answers
The concentration of [OH] in the basic solution is 0.177 mol/L.
To find the concentration of [OH] in the basic solution, we first need to use the balanced chemical equation for the neutralization reaction between HCl and OH-:
HCl + OH- -> H2O
We can see from the equation that 1 mole of HCl reacts with 1 mole of OH-. Therefore, the number of moles of HCl used in the reaction is equal to the number of moles of OH- in the basic solution.
First, let's calculate the number of moles of HCl used:
n(HCl) = c(HCl) x V(HCl)
n(HCl) = 0.150 mol/L x 0.0295 L
n(HCl) = 0.004425 mol
Since 1 mole of HCl reacts with 1 mole of OH-, the number of moles of OH- in the basic solution is also 0.004425 mol.
Next, we can use the volume and number of moles of OH- to calculate its concentration:
c(OH-) = n(OH-) / V(OH-)
c(OH-) = 0.004425 mol / 0.0250 L
c(OH-) = 0.177 mol/L
Therefore, the concentration of [OH] in the basic solution is 0.177 mol/L.
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Three forces are acting on an object as shown in the diagram. The object is not moving. Two forces are to newtons and 10 N. Third force is:
Answers
The object is not moving, so the net force acting on it is zero.
The two given forces act in the same direction with a total magnitude of 2 N + 10 N = 12 N.
The third force acts counter to these with some magnitude F to give a net force of 0, so that by Newton's second law
F = 12 N
Which best describes a molecule?
a unit made of different kinds of elements
a unit made of only one kind of element
a unit made of two or more atoms
a unit made of a single atom
Answers
A group of two or more atoms.
Hope it helps you
Please mark me as brainliest answer
Help in physics please. Need asap :(((
Answers
Answer:
which class you are studying hear the everything is based on the tangent line I didn't even handle this I am sorry
Each bat can produce different frequencies of ultrasound. Explain why this is useful if there are many bats hunting together.
Answers
Answer: Although low frequency sound travels further than high-frequency sound, calls at higher frequencies give the bats more detailed information--such as size, range, position, speed and direction of a prey's flight. Thus, these sounds are used more often.
Explanation:
What do scientists use to measure force?
Answers
Answer:
force meter
Explanation:
Answer:
Wrong, the correct answer is "newton"
Explanation:
1 Newton = 1 kilogram-meter per second2
define Newton's law of motion
Answers
By definition, Newton's First Law, also called the Law of inertia, indicates that "Every body perseveres in its state of rest or of uniform rectilinear motion unless it is forced to change its state by forces impressed on it."
This means that for a body to come out of its state of rest or of uniform rectilinear motion, it is necessary for a force to act on it.
Definition of inertiaSo, in other words, all bodies are opposed to changing their state of rest or motion and this opposition is called inertia.
Body in equilibriumIn this way, a body is in equilibrium when the resultant of the forces acting on it is zero. That is, it is not possible for a body to change its initial state (be it rest or motion) unless one or more forces intervene.
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Why is communication an important part of the scientific process
Answers
Answer:
Communication is a vital component to the scientific process. It helps the scientist, if he/she was making an invention, tell people or get advice about the project, which couldn't be done without communication. Scientists need to communicate to learn, get advice, and collaborate with one another.
imped) og 90
Does a 2-kilogram rock have twice the mass
of a 1-kilogram rock? Twice the inertia? Twice
the weight (when weighed in the same loca-b
tion)? (4.5)
urged
bib ord:
Answers
Yes, a 2kg rock will have twice the weight and inertia of a 1 kg rock.
What is the weight of an object?
The weight of an object is the measure of the effect of force of gravity on the object.
W = mg
where;
m is the mass of the objectg is acceleration due to gravityThe weight of 2 kg rock and 1 kg rock is calculated as;
W (2) = 2 kg x 9.8 m/s² = 19.6 N
W (1) = 1 kg x 9.8 m/s² = 9.8 N
The weight of 2 kg rock is twice the weight of the 1 kg rock.
Inertia is the measure of reluctance of an object to move or stop moving and it depends on mass, so 2 kg tock will have twice the inertia of 1 kg rock.
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if an object with a velocity of 50m/s has the same momentum as that of a 10 kg Mass moving with a velocity of 20 m/s the mass of the object is
Answers
Answer:
4 kg
Explanation:
momentum = mass x velocity
10 x 20 = 200
200 / 50 = 4
what initial speed must an alpha particle have to just touch the surface of a gold nucleus before being turned back? assume the nucleus stays at rest.
Answers
Since the closest approach distance is 39.5 fermi, the initial speed is in a head-on collisions between an alpha particle and a gold nucleus (Z=79).
What is alpha?The Greek alphabet begins with the letter alpha. Its value is one in the Greek number system. The word "ox" in the West Semitic language, aleph, is derived from the Phoenician letter alpha. The Latin letter A and the Cyrillic letter A are examples of letters that evolved from alpha.
In physics, alpha is a variable that is used for numbers that could be different from one another. Some examples of quantities using are: An isotope of helium, the alpha particle is made up of two protons and two neutrons. kg is the unit of mass. A metre is a unit of length, and a second is a unit of time.
Why do we use alpha and beta and how it is calculated?The two components of a formula used to describe the results of stocks & investment funds are alpha and beta. Beta is a metric for comparing volatility to a benchmark, like the S&P 500. After controlling for erratic variations and market-related volatility, alpha seems to be the return rate on an investment.
Rf - beta - Rf = alpha (Rm-Rf)
R is a symbol for portfolio return. The risk-free return rate is denoted by Rf. The systematic risk of the a portfolio is represented by beta. According to a benchmark, Rm stands for the market return.
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explain what the net effect of the sodium-potassium pump is.
Answers
The net effect of the sodium-potassium pump is to create a transmembrane electrical potential.
Sodium-potassium pump is a process in which sodium ions (Na+) are transported out of the cell while potassium ions (K+) are transported into the cell. The net effect of this process is that there is a greater concentration of K+ ions inside the cell and a greater concentration of Na+ ions outside the cell.
This creates an electrochemical gradient across the cell membrane. This gradient is what allows cells to carry out a variety of functions such as transmitting signals and carrying out metabolic processes. The electrochemical gradient is also what drives the movement of other molecules across the cell membrane.
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help me!
Bill left a hammer out in the rain all day. The next morning it had rust on it.
Oxygen and a metal chemically combine to form rust. What is rust an example of?
O a mixture
• a solution
an element
a compound
Answers
Answer:D.Compound
Explanation: internet
when will i ever get BRAINLISTED :(
Answers
Answer:
real soon :)brainly plz
Explanation:
A gas always spreads out to fill all available space.
True or False
Science Hw
Answers
Answer:
true
Explanation:
i know this im in 6th grade
This is True. Gases spread around freely and take up any available space. For example, there is oxygen. Oxygen is a gas we breathe in and spreads around freely, taking up any space.
Annie enjoys going to the beach to look for shells. On Saturday, she found 4 times as many shells as she found on Sunday.If Annie found 21 more shells on Saturday than on Sunday, how many shells did she find altogether over the weekend?
Answers
Given
On Saturday, she found 4 times as many shells as she found on Sunday.
Saturday = 4*Sunday
Saturday = 21 + Sunday
Two system equations, now we can solve:
4*Sunday = 21 + Sunday
3*Sunday = 21
Sunday = 7 Shells
Saturday = 28 Shells
Total = 35 Shells
Answer:35 in total
Explanation: