We can predict that the car full of riders will reach a speed of 28.0 m/s at the bottom of the first hill based on the principles of conservation of energy.
It is possible to predict the speed that a 2000 kg car full with riders will reach before it's ever placed on the track using the principles of conservation of energy. According to the law of conservation of energy, the total energy in a system remains constant, and it can be converted from one form to another.
To calculate the speed of the car at the bottom of the first hill, we can use the conservation of energy equation, which states that the initial potential energy (PEi) of the car is equal to the final kinetic energy (KEf) of the car.
PEi = KEf
\(mgh = 1/2mv^2\)
Where m is the mass of the car, g is the acceleration due to gravity, h is the height of the hill, and v is the velocity of the car.
Solving for v, we get:
\(v = \sqrt{(2gh)}\)
Using the given values of m = 2000 kg, h = 40 meters, and g = 9.81 m/s², we can calculate the velocity of the car at the bottom of the first hill:
\(v = \sqrt{(2gh)} = \sqrt{(2 \times 9.81 \;m/s^2 \times 40 m)} = 28.0 m/s\)
Therefore, we can predict that the car full of riders will reach a speed of 28.0 m/s at the bottom of the first hill based on the principles of conservation of energy.
In summary, by using the conservation of energy equation, we can predict the speed of the car at the bottom of the first hill based on its mass and the height of the hill. We found that the car full of riders will reach a speed of 28.0 m/s using this method.
To know more about speed refer here:
https://brainly.com/question/28060745#
#SPJ11
A sample of gas has a pressure of .87atm at 25 ˚C. What is its pressure when the temperature is increased to 50˚C?
It states that: "At constant volume the pressure of a gas sample is directly proportional to the absolute temperature."
This means that doubling the pressure of the gas will cause its absolute temperature to double.
Mathematically this law is expressed as:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\dfrac{P_{1}}{T_{1}}=\frac{P_{2}}{T_2} \iff \ P_1T_2=P_2T1 } \end{gathered}$} }\)
We have that the data is:
P₁ = 0.87 atm
T₁ = 25 °C + 273 = 298 K
T₂ = 50 °C + 273 = 323 K
P₂ = ?
We clear for the final pressure:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{P_1T_2}{T_{1}} } \end{gathered}$}}\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{(0.87 \ atm)\cdot(323\not{k})}{298\not{k}} } \end{gathered}$}}\)
\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=0.94 \ atm } \end{gathered}$}}}\)
If the temperature increases to 50°C, its new pressure will be 0.94 atm.How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J
Answer:B
Explanation:
A 1,500 kg car sliding on frictionless ice at 15 m/s hits a stationary, 2,500 kg minivan. The two vehicles are locked together after impact on the ice. What is their common speed after impact
The common speed of the car and minivan after impact on the frictionless ice is 6 m/s.
How can we calculate the common speed of the car and minivan after impact?When the car and minivan collide, the principle of conservation of momentum can be applied to determine their common speed after impact. According to this principle, the total momentum before the collision is equal to the total momentum after the collision, assuming there are no external forces acting on the system.
The momentum (p) of an object is given by the product of its mass (m) and velocity (v): p = m * v.
Initially, the car has a mass of 1,500 kg and a velocity of 15 m/s, while the minivan has a mass of 2,500 kg and is stationary (0 m/s). After the collision, the two vehicles lock together and move with a common velocity (v').
Applying the conservation of momentum equation:
Initial momentum of the car = Final momentum of the car and minivan
(1,500 kg * 15 m/s) = (1,500 kg + 2,500 kg) * v'
Simplifying the equation:
22,500 kg⋅m/s = 4,000 kg * v'
Dividing both sides by 4,000 kg:
v' = 22,500 kg⋅m/s / 4,000 kg
v' = 5.625 m/s
Therefore, the common speed of the car and minivan after impact is 5.625 m/s, which can be rounded to 6 m/s.
Learn more about frictionless
brainly.com/question/33439185
Tag: #SPJ11
A ball of mass 2.0 kg is travelling at a speed of 12 m/s. It moves towards an object of mass 3.0 kg which is at rest.
The ball hits the object and sticks to it.
Which row gives the total momentum, and the speed of both objects immediately after the collision?
total momentum (kg m/s)
A- 0
B- 0
С- 24
D- 24
AND..
speed (m/s)
A- 4.8
B- 8.0
C- 4.8
D- 8.0
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
The velocity for the entire trip is 0.4 m/s as It takes her 500 seconds to make the round trip and 60 kg • m/s2 = (45 kg • v) + (20 kg • 3 m/s).
Path 1 = 400 m В B. A Path 2 = 200 m Path 3 = 300 m. Thus, option C is correct.
What is velocity?A particle's settling velocity known as the rate at which is travels through a still fluid. The specific gravity of the particles, their size, and their shape all have an impact on settling velocity.
A particle in still air will gravitationally settle and reach its terminal velocity fairly quickly. A particle's terminal velocity in a still fluid is referred to as the settling velocity (also known as the "sedimentation velocity").
Understanding variations in the hydraulic regime and interactions between sediment and fluid in the surf zone depends heavily on the particle settling velocity at the foreshore region. In contrast to sedimentation, which is the end product of the settling process, settling is the movement of suspended particles through the liquid.
Therefore, Thus, option C is correct.
Learn more about velocity on:
https://brainly.com/question/19979064
#SPJ2
2.3 mol of monatomic gas a initially has 4500 j of thermal energy. it interacts with 3.0 mol of monatomic gas b, which initially has 8200 j of thermal energy. Which gas has the higher initial temperature?
Gas A or B?
1-What is the final thermal energy of the gas A?
2-What is the final thermal energy of the gas B?
To calculate the final thermal energy of gas A and gas B, we need to use the equation q = nCΔT, where q represents the thermal energy, n is the number of moles, C is the molar specific heat capacity, and ΔT is the change in temperature. By substituting the given values into the equation, we can determine the final thermal energy of both gases.
However, the initial temperatures of gas A and gas B are not provided, so we cannot directly compare their initial temperatures. The thermal energy alone cannot determine the temperature, as it depends on factors such as the number of moles and the specific heat capacity of the gas. Therefore, we would need additional information to compare the initial temperatures of gas A and gas B.
To further understand the concept of molar specific heat capacity and its relationship to thermal energy, it is important to study the properties of gases and their behavior when subjected to thermal changes. This knowledge can help in understanding how energy is transferred and how temperature changes affect the thermal energy of a gas.
Learn more about molar specific heat capacity
brainly.com/question/28302906
#SPJ11
On a heating curve, what does a horizontal line represent? Why is the line flat at
certain points?
Answer:
It is going through a phase change when it is flat.
Explanation:
During the horizontal line segments, there is no change in temperature, so kinetic energy remains constant. However, all the energy that is absorbed or released is related to changes in potential energy.
what do astronomers mean when they talk about the seeing conditions at a potential observatory site?
When astronomers talk about the seeing conditions at a potential observatory site, they are referring to the atmospheric turbulence and how it affects the quality of images obtained from telescopes at that location.The seeing conditions can have a significant impact on the image quality as well as the scientific output of an observatory.
Turbulent air creates a blurring effect on the images which is known as atmospheric distortion. This limits the telescope’s ability to resolve fine details in the observed objects.The quality of the seeing conditions at a potential observatory site depends on various factors such as the altitude, climate, and topography.
Astronomers evaluate the seeing conditions by monitoring the atmospheric turbulence at the site. They use a device called a seeing monitor that measures the fluctuations in the air density and temperature.The seeing conditions are critical for the success of an observatory.
Astronomers prefer sites with stable atmospheric conditions, low turbulence, and dry climate. These conditions help to minimize the effects of atmospheric distortion on the images and enable astronomers to study celestial objects in greater detail.
To know more about observatory refer here:
https://brainly.com/question/28274193#
#SPJ11
A scooter travelling at 10 m/s speed up to 20 m/s in 4 sec. Find the acceleration of scooter.
Explanation:
The acceleration of the scooter is 2.5 m/s
What is the net force on charge placed at the center of square of length 1m? All charges have same magnitude of 2 micro coulomb.
Answer:
Electric Field intensity is zero.
The reason for that is:
All charges are placed at equal distances from the center of the square and have same magnitude and sign. This means they will exert equal and opposite forces on the test charge at the center. Net force will become Zero.
select the intermolecular forces present in water. group of answer choices h-bonding ion-dipole london dispersion dipole-dipole
The intermolecular forces present in water include hydrogen bonding and dipole-dipole interactions.
Water is a polar molecule, meaning it has a positive and a negative end due to an uneven distribution of electron density. This polarity gives rise to intermolecular forces that hold water molecules together.
One of the intermolecular forces present in water is hydrogen bonding. Hydrogen bonding occurs when a hydrogen atom, which is covalently bonded to an electronegative atom (in this case, oxygen), is attracted to another electronegative atom (such as oxygen or nitrogen) in a different molecule. In water, the oxygen atom of one water molecule forms a hydrogen bond with a hydrogen atom of a neighboring water molecule. Hydrogen bonding is a strong intermolecular force and contributes to many of the unique properties of water, such as its high boiling point and surface tension.
In addition to hydrogen bonding, water also exhibits dipole-dipole interactions. Dipole-dipole interactions occur between the positive end of one polar molecule and the negative end of another polar molecule. In water, the positive hydrogen end of one water molecule is attracted to the negative oxygen end of a neighboring water molecule. These dipole-dipole interactions are weaker than hydrogen bonds but still contribute to the overall intermolecular forces present in water.
Other intermolecular forces, such as ion-dipole interactions and London dispersion forces, are not as significant in water compared to hydrogen bonding and dipole-dipole interactions. Ion-dipole interactions occur between an ion and the charged end of a polar molecule, while London dispersion forces arise from temporary fluctuations in electron distribution. While these forces may exist in other substances, they play a relatively minor role in the intermolecular forces of water.
In conclusion, the intermolecular forces present in water are primarily hydrogen bonding and dipole-dipole interactions. These forces contribute to the unique properties and behavior of water as a liquid.
For more such questions on intermolecular forces, click on:
https://brainly.com/question/2193457
#SPJ11
The speed of the current warming trend is no different than those seen in fossil records. (true or false)
True or false, the hardest working muscle in the body is the gluteus Maximus?
Answer:heart
The hardest working muscle is the heart. It pumps out 2 ounces (71 grams) of blood at every heartbeat. Daily the heart pumps at least 2,500 gallons (9,450 liters) of blood. The heart has the ability to beat over 3 billion times in a person's life.
Explanation:hope this helps
what must happen in order for a metaphoric rock to be transformed into a igneous rock
Answer:
If the newly formed metamorphic rock continues to heat, it can eventually melt and become molten (magma). When the molten rock cools it forms an igneous rock.
Explanation:
Because sound waves vibrate longitudinally, what can result?
A Disruptions of fixed waves
B. Changes in the density of air
С. Pressure differences where compressions are rarefied
D Regions of high pressure and low pressure
I NEED HELP ASAPPP!!!!!!!! someone help me!!! :(
What is the liquid called that if heat is created it turns into
this?
Answer:
latent heat, also called the heat of vaporization
Two solutions are added together and the new solution becomes hot. This tells you that
A.
the solutions are not soluble.
B.
a gas is being produced.
C.
a chemical change is taking place.
D.
the physical properties are the same.
Answer:
C
Explanation:
the reason the new solution becomes hot is because an exothermic reaction is taking place. This is a kind of chemical change.
how molecular motion related with temperature?
Answer:
yes
Explanation:
The Indianapolis speedway consists of a 2.5 mile track having four turns, each 0.25 mile long and banked at 9 12'
Answer: Your question is missing below is the question
Question : What is the no-friction needed speed (in m/s ) for these turns?
answer:
20.1 m/s
Explanation:
2.5 mile track
number of turns = 4
length of each turn = 0.25 mile
banked at 9 12'
Determine the no-friction needed speed
First step : calculate the value of R
2πR / 4 = πR / 2
note : πR / 2 = 0.25 mile
∴ R = ( 0.25 * 2 ) / π
= 0.159 mile ≈ 256 m
Finally no-friction needed speed
tan θ = v^2 / gR
∴ v^2 = gR * tan θ
v = √9.81 * 256 * tan(9.2°) = 20.1 m/s
To lift a transformer straight up from the floor to a truck bed located 1.30 m above the floor requires 180 J of work. What is the weight of the transformer?
The weight of the transformer is 138.46 N.
How to calculate weight?Weight can be calculated by dividing workdone by height
To calculate the weight of the transformer, we use the formula below.
Formula:
W = E/h................... Equation 1Where:
W = Weight of the transformerE = Work done to lift the transformer from the floor = 180 Jh = Height at which the transformer was lifted = 1.3 mSubstitute these values into equation 1
W = 180/1.3W = 138.46 NLearn more about weight here: https://brainly.com/question/28704035
#SPJ1
can the transfer of heat by convection occur in solids ?why?
Answer:
cannot
Explanation:
because convection occurs to difference in densities between particles and there is a movement of particles during convection ( gases and liquids ) , in solids , atoms are very tightly packed and cannot move
Why is there no ideal time of day when all students should study?
Answer:because each individual works best at a different time of day. D. because scheduling prevents everyone from studying at a set time. emilleexo818 is waiting for your help.
Explanation:
Answer:
The correct and overall question would be: Because each individual works best at a different time of day
Explanation:
(I'm smart and I took the quiz, I hope this helped guys! :)
The disk is originally rotating at ω0 = 19 rad/s . It is subjected to a constant angular acceleration of α = 21 rad/s2.
Determine the magnitude of the velocity of point A at the instant t = 2 s.
Determine the magnitudes of the n and t components of acceleration of point A at the instant t = 2 s.
According to the solving The magnitudes of the n and t components of the acceleration of point A at the instant t = 2 s are 744.2 m/s2 and 4.2 m/s2, respectively.
Given information: Angular acceleration,
α = 21 rad/initial angular velocity, ω₀ = 19 rad/s
Time, t = 2 seconds
Radius of the disk, r = 0.2 meters
The angular acceleration is = d/dt.
The initial angular velocity of the disk, 0 = 19 rad/s, is given.
The angular velocity of the disk after a time t can be determined using the formula,
ω = ω₀ + αt
Where ω is the angular velocity of the disk after a time t.
Substituting the given values of ω₀, α, and t, we get
ω = 19 + 21 × 2
= 61 rad/s
The linear velocity of any point on the disk, v is given by,
v = r × ω Where r is the radius of the disk.
Substituting the given values of r and ω, we get
v = 0.2 × 61
= 12.2 m/s
Therefore, the magnitude of the velocity of point A at the instant t = 2 s is 12.2 m/s.
The tangential acceleration, is given by,
at = r, where r is the radius of the disk.
Substituting the given values of r and α, we get,
at = 0.2 × 21
= 4.2 m/s²
The normal acceleration, and is given by,
an = rω²
where r is the radius of the disk.
Substituting the given values of r and ω, we get, an
= 0.2 × 61²
= 744.2 m/s²
The magnitudes of the n and t components of the acceleration of point A at the instant t = 2 s are 744.2 m/s2 and 4.2 m/s2, respectively.
To know more about acceleration visit :
https://brainly.com/question/12550364
#SPJ11
What is the relationship between the magnetic force and the distance between the magnets?
The strength of the magnetic force is inversely proportional to the square of distance between the magnets. Thus, as the distance increases, force between the magnets decreases.
What is magnetic force?Magnetic force, is the force generated by magnetic flux lines arised from a magnetic field. A magnet have a south pole and north pole. There will be repulsive force between two like poles and attractive force between two unlike pole.
The force between two objects is always in inverse proportion with the distance and this is well explained by Coulomb's law of forces.
Thus, F ∝ 1/r² where, r is the distance.
Therefore, as the distance between two magnets increases the magnetic force between them decreases.
To find more on magnetic force, refer here:
https://brainly.com/question/3160109
#SPJ1
studies show that carrying on a conversation over a cell phone while driving is no more distracting than having a conversation with someone in the car.
statement, studies consistently show that conversing on a cell phone while driving is more distracting and risky compared to having a conversation with someone in the car.
Numerous studies and research have consistently demonstrated that talking on a cell phone while driving is significantly more distracting and dangerous than conversing with a passenger in the car. The primary reason for this is the cognitive distraction caused by cell phone conversations, particularly when using handheld devices.
Engaging in a conversation on a cell phone requires a higher cognitive load as drivers need to mentally visualize and focus on the conversation while simultaneously processing visual and auditory cues from the driving environment.
Conversely, conversing with a passenger in the car is considered less distracting due to the presence of shared situational awareness. Passengers can actively participate in the driving situation, provide nonverbal cues, adjust their conversation based on traffic conditions, and assist with potential hazards.
These factors contribute to a more integrated and less cognitively demanding interaction, making it less likely to impair driving performance compared to cell phone conversations. Overall, the consensus among scientific studies supports the notion that talking on a cell phone while driving is more distracting than conversing with a passenger in the car.
It is essential for drivers to prioritize safety by minimizing distractions and adhering to laws and guidelines regarding cell phone usage while operating a vehicle.
Learn more about driving here:
https://brainly.com/question/14317930
#SPJ11
•1. Identify the four inner/terrestrial planets.
Answer:
1) Mercury
2) Venus
3) Earth
4) Mars
Explanation:
Answer:
The for inner/terrestrial planets are Mercury, Venus, Earth and Mars
Explanation:
~Notify me if you have questions~
Have a nice day and I hope it helps!
^ω^
-- XxFTSxX
Jenny applies a 60 N force to a 20 kg cart , what is the acceleration of the cart if friction can be neglected
Hello!
a = 3 m/s²
Use the equation F = m · a (Newton's Second Law) to solve.
We are given the force and mass, so plug these values into the equation:
60 = 20 · a
60 = 20a
Divide both sides by 20:
60/20 = 20a/20
a = 3 m/s²
32. If a ball is given a push so that it has an initial velocity of 2 m/s down a certain inclined plane, then the distance it has rolled after t seconds is s = 2t + t2. How long does it take for the velocity to reach 24 m/s? (a) 2 seconds (b) 4 seconds (c) 5 seconds (d) 11 seconds (e) 12 seconds
If a ball is given a push so that it has an initial velocity of 2 m/s down a certain inclined plane, then the distance it has rolled after t seconds is s = 2t + t². Then it takes 11 seconds for the velocity to reach 24 m/s. The correct option is D.
To find the time it takes for the velocity of the ball to reach 24 m/s, we need to solve for the time when the velocity function equals 24 m/s.
The velocity function is the derivative of the distance function, so we'll first find the derivative of the distance function s = 2t + t² with respect to time t:
ds/dt = d/dt(2t + t²)
ds/dt = 2 + 2t
Now we can set the velocity function equal to 24 m/s and solve for t:
2 + 2t = 24
Subtracting 2 from both sides:
2t = 22
Dividing both sides by 2:
t = 11
Therefore, it takes 11 seconds for the velocity to reach 24 m/s.
The correct answer is (d) 11 seconds.
To learn more about escape velocity click:
brainly.com/question/29596174
#SPJ4
a baseball player hit a baseball with a bat. the mass of the baseball is 0.09 kg. the baseball accelerates at 2,800 m/s2. what is the net force, to the nearest newton, that accelerates the baseball.
The net force that accelerates the baseball with the mass of 0.09 kg and with the acceleration of 2,800 m/s² is equal to 252 newtons.
Force that acts on an object can create acceleration. We know this from Newton's second law of motion, which is a = F/m, where a is acceleration, F is force, and m is mass. The equation means that the larger the force or the smaller the mass, the larger the acceleration, and the smaller the force or the larger the mass, the smaller the acceleration.
We can rearrange the equation into F = ma. This means that force is equal to the mass times the acceleration. Given that the mass is equal to 0.09 kg and the acceleration is equal to 2,800 m/s², the net force is equal to
F = ma
F = 0.09 kg · 2,800 m/s²
F = 252 kg · m/s² = 252 N.
Learn more about force at https://brainly.com/question/12785175.
#SPJ4
What is the relationship between increase speed of a car and energy in a
collision?
Hello,
QUESTION)✔We have : Ek = 1/2m x v²In other words, when the speed doubles the collision energy of the car, or simply the kinetic energy, is multiplied by two.
An archer shoots an arrow 75 m distant target; the bull's-eye of the target is at the same height as the release height of the arrow. If d = 75 m and v = 37 m/s. At what angle must the arrow be released to hit the bull's-eye if its initial speed is 37 m/s?
Answer:
\(16.25^{\circ}\)
Explanation:
R = Horizontal range of projectile = 75 m
v = Velocity of projectile = 37 m/s
g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)
Horizontal range is given by
\(R=\dfrac{v^2\sin2\theta}{g}\\\Rightarrow \theta=\dfrac{\sin^{-1}\dfrac{Rg}{v^2}}{2}\\\Rightarrow \theta=\dfrac{\sin^{-1}\dfrac{75\times 9.81}{37^2}}{2}\\\Rightarrow \theta=16.25^{\circ}\)
The angle at which the arrow is to be released is \(16.25^{\circ}\).