The car speeds remains constant.
Using the following equation for momentum:
Pi=Pf
(c=car and r=rock)
McVc + MrVr = McV'c + MrV'r
Initially
Vc=Vr=Vi
and since rocks are being dropped directly downward, final momentum of the rocks (being dropped one at a time) should be zero because their falling down, out of the railroad car.
So:
Vi( Mc+Mr) = McV'c V'c = [Vi(Mr+Mc)] / Mc
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The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 190190 square feet is 95009500 pounds when the plane is going 220220 miles per hour. Find the lifting force on the wing if the plane slows down to 190190 miles per hour. (Leave the variation constant in fraction form or round to at least 5 decimal places.
Answer:
F'=708.53 N
Explanation:
We have,
The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It means tat,
\(F=kAv^2\)
k is constant
If, A = 190 Ft², v = 220 mph, F = 950 pounds
Let's find k first from above data. So,
\(k=\dfrac{F}{Av^2}\\\\k=\dfrac{950}{190\times 220^2}\\\\k=0.0001033\)
It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour. Let F' is the new force. So,
\(F'=0.0001033\times 190\times (190)^2\\\\F'=708.53\ \text{pounds}\)
So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.
The lifting force on the wing if the plane slows down to 190 miles per hour F'=708.53 N
What is force?The force is an external agent applied to the body to displace it from its position .The force can be of different types lifting force, Frictional force, viscous force etc.
We have,
The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It means that,
\(F=kAv^2\)
k is constant
If, A = 190 Ft², v = 220 mph, F = 950 pounds
Let's find k first from above data. So,
\(k=\dfrac{F}{Av^2}\)
k=950/190*220^2
k=0.0001033
It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour. Let F' is the new force. So,
F'=0.0001033×190×190^2
F'=708.53 pounds
So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.
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which two criteria are least important for engineers to consider when developing a process to produce an important chemical
Answer:
Chemical engineering is a multi-disciplinary branch of engineering that combines natural and experimental sciences such as chemistry and physics, along with life sciences such as biology, microbiology and biochemistryplus mathematics and economics to design, develop, produce, transform, transport, operate
Explanation:
Answer:
A. the process needs to produce significant amounts of ammonia
C. the process needs to be able to be performed safely
Explanation:
a p e x
A 7.0 kg cannonball flying rightward at 12 hits a stationary rock. The cannonball keeps moving in the same
S
m
m
direction at 2.0 after the collision but sends the rock flying at 14 towards right
S
S
What is the mass of the rock?
Answer:
5.0 kg
Explanation:
use the equation; (m1v1i) + (m2v2i) = (m1v1f) + (m2v2f)
The image produced by a concave lens is always virtual. Is this true or false?
Question 4: In a city the traffic lights on the main road are set up so that traffic lights are green for 55 seconds, red for 48 seconds, and amber for 17 seconds (the city is in California, so no one stops on amber).
(a) What is the chance that you will have to stop at a particular traffic light?
(b) Suppose that there are 10 traffic lights in the main street. What is the expected amount of time you are likely to be stopped at traffic lights if you drive all the way down the main street?
The probability of stopping at a traffic light is about 47.22%.
With 10 traffic lights, expect to be stopped for approximately 5 minutes and 45 seconds along the main street.
(a) To calculate the probability of stopping at a particular traffic light, we need to consider the cycle time of the traffic lights. The cycle time is the total time taken for one complete sequence of green, amber, and red signals. In this case, the cycle time is 55 + 17 + 48 = 120 seconds.
The probability of stopping at a particular traffic light can be calculated by dividing the red signal duration by the cycle time. Therefore, the probability is 48/120 = 0.4 or 40%.
However, in California, no one stops on amber, so we need to exclude the amber duration from the calculation. Therefore, the probability becomes 48/(55 + 48) ≈ 0.4722 or 47.22%.
(b) If there are 10 traffic lights on the main street, we can calculate the expected amount of time spent stopped at traffic lights by multiplying the probability of stopping at each traffic light by the average duration of being stopped.
The average duration of being stopped at a traffic light is the sum of the red signal duration and half of the amber signal duration. So, the average duration is (48 + 17/2) = 56.5 seconds. To find the expected amount of time stopped at traffic lights, we multiply the average duration by the number of traffic lights: 56.5 seconds * 10 = 565 seconds.
Therefore, if you drive all the way down the main street, the expected amount of time you are likely to be stopped at traffic lights is approximately 565 seconds, which is equivalent to 5 minutes and 45 seconds.
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An object starts at the 100 m mark and ends up at the -100 m mark, 50
seconds later. What was the velocity? *
(please help asap)
The standard unit for length is the ______
A. Yard
B. Foot
C. Millimeter
D. Meter
Answer:
A. Yard
Explanation:
Should be correct lol :)
an object in motion will have a speed which is a scaler , or ( blank ) which is a vector .
Answer:
Velocity
Explanation:
Objects in motion usually have a speed which is scalar or velocity which is a vector.
A scalar quantity is one with magnitude but has no directional attribute.
A vector quantity is one with both magnitude and directional attribute.
Speed is a scalar quantity that describes the magnitude of motion a body accrues.
Velocity is a vector quantity that describes both the magnitude of motion and the direction of motion in a body.
Superkid, finally fed up with Superbully's obnoxious behaviour, hurls a 1.35 kg stone at him at 0.501 of the speed of light. How much kinetic energy do Superkid's super arm muscles give the stone
Answer:
See below
Explanation:
A lot !
KE = 1/2 m v^2
= 1/2 * 1.35 * ( .501 * 3 * 10^8)^2 =
1.5248 x 10^16 j
kinetic energy do Superkid's super arm muscles give the stone is 62.6 × 10⁶ J.
What is kinetic energy ?Kinetic energy is the energy associated with a motion of a body. When a body is in motion having mass m then it has kinetic energy. Kinetic energy is denoted by K or T. it is expressed in joules. Kinetic energy is given by,
K = 1/2 mv²
Hence an object having zero mass or zero velocity have zero kinetic energy.
In this problem the stone is moving with velocity which is comparable with the speed of light, hence we have to find relativistic kinetic energy.
The relativistic kinetic energy is given by,
\(K = m_{0} c^2(\frac{1}{\sqrt{1-\frac{v^2}{c^2}} } -1)\)
putting all the values in the equation
\(K = 1.35*3*10^8(\frac{1}{\sqrt{1-\frac{(0.5c)^2}{c^2} } }-1 )\)
K = 62.6 × 10⁶ J
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define visible light radiation
Help !
An object is at a distance of 3 centimeters from a lens with a focal length of 1 centimeter. The lens creates an image on the same side of the object. What kind of lens is this? What is the image location? Is the image real or virtual?
Answer:
Biconcave lens or Diverging lens.
Virtual Image
0.75cm on the same side as the object.
Explanation:
Biconcave lens. Biconcave lenses form all images at the same side as the object. Although a biconvex lens can exhibit the same phenomena, it only occurs when the object is in between the focal point and the optical center (object distance<focal length). From the given parameters, the object distance is 3cm and the which is obviously greater than the focal length.
So, we conclude that the lens used is a biconcave lens.
A concave lens (biconcave, plano-convex,) alway produces a virtual image.
Let u, v and f represent the object distance, image distance and focal length of the lens respectively.
In this case,
u = 3cm
v = ?
f = -1cm ( f is negative for diverging lenses)
1/f = (1/u) + (1/v)
-1 = (1/3) + (1/v)
v = -3/4cm = -0.75 cm
The negative sign means that it's a virtual image.
What is the efficiency of a light bulb if it produces 30j of light energy, with an input of 120j of electrical energy?
The efficiency of this light bulb is 25% .
How do you calculate the efficiency of a light bulb?Utilizing the following formula, efficiency may be represented as a ratio: output input. The total quantity of beneficial work accomplished, excluding waste and spoilage, is known as output or work output. Efficiency may also be expressed as a percentage by dividing the ratio by 100.To represent the result as a percentage, divide the output by the input and then multiply by 100. Although both work and energy are measured in terms of the Joule, the calculator above has a space for a different unit. Make sure the energy and labour units are equivalent.Efficiency is essentially a measurement of the amount of labour or energy that may be saved throughout a process. In other words, it's similar to comparing the energy intake and output in any particular system.Given data :
output = 30j
Input = 120j
Efficiency = output / input x 100
= 30 / 120 x 100
= 25%
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when waves constructively interfere, what parameter changes in the resultant wave?
Intensity changes as a result in resultant wave.
When two waves are in phase and their maxima add, a process known as constructive interference occurs where the combined amplitude of the two waves equals the sum of their individual amplitudes. The minima of the waves would line up similarly.
A wave of amplitude 2A is produced when two waves with the same phase, frequency, and amplitude (A) superimpose. As a result, its intensity doubles. The maximum angle at which fringes can be seen on a screen is 90°.
Condition for constructive interference: ΔL = nλ, where n is any integer. The quantity I represents the wave's intensity as a function of the two (identical) parent waves' phase differences.
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The horizontal constricted pipe illustrated in the figure (a Venturi tube), can be used to measure flow velocities in an incompressible fluid. The ratio for the cross section areas of A2/A1 =0. 46, the difference in the pressure is Pi - P2 = dP = 27. 6 Pa, and the density of the fluid is 2. 93 kg/m. Find the speed of the fluid near the right hand end of the tube (i. E. , find v2
The speed of the fluid near the right-hand end of the tube is approximately 10.06 m/s.
What is Bernoulli's equation?Bernoulli's equation is a fundamental principle in fluid mechanics that relates the pressure, velocity, and height of a fluid in a flow. It states that for an incompressible fluid flowing in a steady state through a pipe of varying cross-sectional area, the total energy of the fluid (consisting of pressure energy, kinetic energy, and potential energy) remains constant along any streamline of the flow. Mathematically, the equation is:
P + (1/2)ρv² + ρgh = constant
To find the speed of the fluid near the right-hand end of the tube, we can use the Bernoulli's equation, which relates the pressure and velocity of a fluid in a flow:
P₁ + (1/2)ρv₁² = P₂ + (1/2)ρv₂²
where P1 and v1 are the pressure and velocity of the fluid at the left hand end of the tube (where the pipe is wider), and P2 and v2 are the pressure and velocity at the right-hand end (where the pipe is narrower).
We can redo this equation to solve for v₂:
v₂ = sqrt(2*(P₁-P₂)/ρ + v₁²)
where sqrt denotes the square root.
Using the given values:
A₂/A₁ = 0.46
dP = 27.6 Pa
ρ = 2.93 kg/m³
We can find the pressure at the left hand end using the fact that the pressure is the same at the same height, and the fluid is incompressible, so its density is constant:
P₁ = P₂ + dP = P₂ + 27.6 Pa
The area ratio gives us:
A₂ = 0.46*A₁
Now we need to find v₁. We can use the continuity equation, which states that the mass flow rate (ρAv) is constant in an incompressible fluid:
ρ₁A₁v₁ = ρ₂A₂v₂
where ρ1 is the density of the fluid at the left hand end, which is the same as ρ₂, and A₁ and A₂ are the pipe's cross-sectional areas at the left and right ends, respectively.
Substituting A₂ = 0.46 × A₁ and simplifying, we get:
v₁ = (0.46)² × v₂
Substituting this into the Bernoulli's equation, we get:
P₁ + (1/2)ρv₁² = P₂ + (1/2)ρv₂²
Substituting P₁ = P₂ + 27.6 Pa and v₁ = (0.46)² × v₂, and solving for v₂, we get:
v₂ = √((227.6)/(0.46^2ρ) + (0.46)⁴ × v₂²/ρ)
Simplifying this equation, we get:
v₂= √((227.6)/(0.46^2ρ × (1-0.46⁴)))
Substituting the given values, we get:
v₂ = √((227.6)/(0.46²²°⁹³ × (1-0.46⁴))) = 10.06m/s
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if i move 3 m east and 4 m north what is my displacement
If I move 3 m east and 4 m north, then my displacement would be 5m.
What do you understand by displacement?In geometry and mechanics, displacement is defined as a vector whose length is the shortest distance from initial to the final position of a point P undergoing the motion.
If an object moves relative to the reference frame—for example, if professor moves to the right relative to whiteboard or passenger moves toward the rear of airplane—then object's position changes. And this change in position is known as displacement.
Given AB= 3m east and BC= 4m north
AC= √ 3² + 4²= 25
So, AC, displacement = 5m
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What is the difference between catastrophism and uniformitarianism
Explanation:
Catastrophism is a geological concept or ideology that was formerly in place. It suggests that the earth crust has evolved through only drastic and violent geological events.
Uniformitarianism suggests that the earth carefully evolved over a period of time and that the processes that are occurring today have occurred in times past.
Catastrophism presents a drastic and rapid evolution of the crust. Uniformitarianism takes a gradual approach to events and suggests that we can use the present to unravel the past.What is the term used to describe the energy of a system that is available to do work?.
The term used to describe the energy of a system that is available to do work is free energy.
What is free energy?Free energy is the energy that is available in a particular chemical system to do useful work.
The Gibbs free energy denoted by G is the enthalpy of a system minus the product of its entropy and absolute temperature.
It is referred to as free because the energy is readily available anytime. Free energy is measured in kilojoules per mole (KJ/mol).
Therefore, it can be said that the term used to describe the energy of a system that is available to do work is free energy.
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Please do all of i will give you brainlest and thanks to best answer plz do it righ
Answer:
Winter
Explanation:
I'm stuck between B and C
In the problem, I know the potential energy increases because the height increases.
A block is at the bottom of a frictionless ramp and is given a kick so that it has some initial velocity and starts to slide up the ramp. There
is no air resistance. Which of the following is true of the energy of the block as it slides?
(A) Its potential energy will increase; its kinetic energy will decrease.
(C) Both its potential and kinetic energies will increase.
(B) Its potential energy will decrease; its kinetic energy will increase.
(D) Both its potential and kinetic energies will decrease.
Answer:
Explanation:
The answer is A. First of all, due to the First Law of Thermodynamics, energy cannot be created or destroyed, it only changes form. That being said, it is impossible for the PE and the KE to both increase or decrease at the same time. The second one starts decreasing, the other starts increasing at the exact same rate. PE exists or is at its highest when an object has the potential to fall to a point lower than it is, and it is at this point where Kinetic energy is the lowest. If this block is kicked UP a ramp, which is odd but there you have it, the potential energy increases as it gets higher off the ground. Because of gravity, and assuming that once the block is kicked, the foot that kicked it is no longer important to it (meaning it's not being pushed up, it's just kicked once and that's it) and it will slow down very quickly. KE exists where there is a great amount of velocity.
The answer is A.
2. a uniform 1.5 t magnetic field points north. if an electron moves vertically downward (toward the ground) with a speed of 2.5 x 107 m/s through this field, what is the magnitude and direction of the force on the electron? 6 x 10-12 n, west
The magnitude of the force is 6 x 10⁻¹² N, and the direction is perpendicular to both the velocity and the magnetic field, pointing toward the west.
Magnitude and direction of force:The force on a charged particle moving in a magnetic field is given by the formula:
F = q(v x B)
where F is the force, q is the charge of the particle, v is the velocity vector of the particle, and B is the magnetic field vector.
In this case, the electron has a negative charge, so q = -1.6 x 10⁻¹⁹ C. The velocity vector of the electron is vertical and downward, so we can write it as:
v = -2.5 x 10⁷ m/s j
where j is the unit vector pointing in the vertical direction. The magnetic field vector is uniform and points north, so we can write it as:
B = 1.5 T i
where i is the unit vector pointing in the horizontal direction (toward the east).
Taking the cross product of v and B, we get:
v x B = (-2.5 x 10⁷ j) x (1.5 i) = -3.75 x 10⁷ k
where k is the unit vector pointing perpendicular to both i and j (toward the west).
Substituting the values of q, v x B, and simplifying, we get:
F = q(v x B) = (-1.6 x 10¹⁹ C) (-3.75 x 10⁷ m/s k)
= 6 x 10⁻¹² N k
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explain budding (8marks)
Answer: Budding is one of the methods of asexual reproduction in organisms.
Explanation:
The asexual reproduction is the process in which new organisms are produced from the parent organism without the formation of gametes. The budding is one of the methods of asexual reproduction in which from a mature organism a bud develops as an outgrowth. The bud obtains the nutrition from the parent organism and increase in size. On maturity the bud dissociate or detach from the parent organism and lives as separate individual organism. Budding can be seen in the case of Hydra, and Yeast.
please help! need a answer as quick as possible please. i need help with questions 1 and 2 ! thank you
Answer:
1.)When you arrive from school and you smell cookies baking in the kitchen your brain will tell you that you are hungry and that you should go to the kitchen at that point your sense organs like your nose helps you to detect that something is baking(cookies)and your nervous system (brain)will tell you that you are hungry and it will command/direct your brain to go to the kitchen then for you to eat the cookies and drink the milk the digestive system is going go help you to chew,swallow and digest the food which has been taken and when you also run to the kitchen at the beginning your brain will direct your skeletal and muscular system because the skeletons and muscles work hand in hand,and when you finish your meal the body will circulate some nutrients or minerals from the food or snack taken to other parts of the body for energy.
2.)When you sleep the whole body is asleep except the heart which needs to continue circulating blood around the whole system and sometimes the brain may not rest when you are sleeping it may continue to do it's work that's why some people usually sleep walk or sleep talk,it means the brain is not at rest and still doing some things....Thank you for the question I hope it is very useful to you.
Which of the following statements is NOT correct?
A. If the forces on an object are balanced, then the object can be at a constant speed.
B. If the forces on an object are balanced, then the object can be at rest.
C. If the forces on an object are unbalanced, then the object can be accelerating.
D. If the forces on an object are unbalanced, then the object can be at rest.
A car slows down from 27.7 m/s
to 10.9 m/s in 2.37 s.
What is its acceleration?
Answer:
a = (Vf - Vi) / t = (10.9 - 27.7) / 2.37 = -16.8 / 2.37 = -7.09 m/s/s
negative means slowing down
Explanation:
The density of molten lava increases as the lava cools and hardens. Give other examples of natural change in density
Answer:
When the water is frozen it turns to ice and the density decreases.
Explanation:
Have A Wonderful Day !!
Calculate the electric force between two point charges of -54.0 μC and +36.0 μC when they are 2.00 cm apart.
**note -- the metric prefix "micro" = μ = x10 - 6 **
Is this attractive or repulsive?
Can someone help me please? Thank you!!!!
Answer:
43740 N and attractive force
Explanation:
Given that,
Charge 1, q₁ = -54.0 μC
Charge 2, q₂ = +36.0 μC
The distance between charges, r = 2 cm = 0.02 m
We need to find the force between charges. The formula for the force between charges is given by :
\(F=k\dfrac{q_1q_2}{r^2}\)
Put all the values,
\(F=9\times 10^9\times \dfrac{54\times 10^{-6}\times 36\times 10^{-6}}{(0.02)^2}\\\\F=43740\ N\)
As the charges are opposite, the force between them is attractive. Hence, the required force is 43740 N.
A plane is coming in to taxi at an airport. It lands parallel to the surface at 480m/s and takes exactly one minute to come to a complete stop. What is its acceleration?
The acceleration of the plane will be −8 m/s²
How to find the acceleration of a plane?
Acceleration is the rate of change in velocity over time (Δv/t).
Given, that the initial velocity of the plane u=480 m/s
The final velocity of the plane is zero after landing, v= 0 m/s
t= 1 minute= 60 seconds
we know, v=u + at
0= 480 + 60a
a=\(\frac{-480}{60}\) = -8m/s²
Thus, the acceleration of the plane is -8 m/s²
(negative acceleration implies that the object is slowing down)
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Under constant acceleration, the average velocity of a particle is half the sum of its initial and final
velocities. Is this still true if the acceleration is not constant? Explain.
Answer:
It is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle is not constant
Explanation:
The motion of a particle under constant acceleration, 'a', is be given by the following kinematic equations;
v² = u² + 2·a·s
v = u + a·t
Where;
v = The final velocity of the particle
u = The initial velocity of the particle
a = The acceleration of the particle
s = The distance through which the particle travels
t = The time of motion of the particle
By simplifying the above equation, we have;
v² - u² = 2·a·s
(v² - u²)/(2·a) = s
(v - u) × (v + u)/(2 × a) = s
((v - u)/a) × ((v + u)/2) = s
From v = u + a·t, we have;
t = (v - u)/a
∴ ((v - u)/a) × ((v + u)/2) = t × ((v + u)/2) = s
∴ ((v + u)/2) = s/t
The average velocity = (Total distance traveled by the particle) ÷ (The time of travel of the particle)
∴ The average velocity = s/t = ((v + u)/2) = Half the sum of the initial and final velocity
However, it is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle, 'a', is not constant, as the velocity time graph is no longer a straight line graph and the distance traveled by the particle, 's', which is the area under the velocity time graph, 'A', (given by the sum of area of the triangle and the rectangle given by the area under straight line graph for constant velocity) cannot be given directly by the product of the time and the average velocity.
Which of the following concussion BEST describes the data Kevin collected?
A. Sound travels slower in the denser medium
B. Sound travels faster in the denser medium
C. Velocity of the sound wave does not change in the different media
D. Velocity of the sound wave does not change in the different media but in the frequency
In a Geiger tube, the voltage between the electrodes is typically 1.00 kV and the current pulse discharges a 5.00 pF capacitor.(b) How many electrons participate in the avalanche caused by the single initial electron?
Approximately 5.00 million electrons participate in the avalanche caused by the single initial electron in a Geiger tube.
In a Geiger tube, the voltage between the electrodes creates an electric field that accelerates a single initial electron. This electron undergoes collisions with gas molecules, leading to gas ionization and the release of additional electrons. The discharge of a 5.00 pF capacitor represents the charge required to initiate the avalanche.
Using the charge equation Q = CV, where Q is the charge, C is the capacitance, and V is the voltage, we can calculate the total charge released. Substituting the values, Q = (5.00 pF) × (1.00 kV) = 5.00 × 10^(-12) C.
Since the charge on a single electron is approximately 1.60 × 10^(-19) C, we can determine the number of electrons participating in the avalanche by dividing the total charge by the charge per electron. (5.00 × 10^(-12) C) / (1.60 × 10^(-19) C/electron) ≈ 3.13 × 10^7 electrons. Therefore, approximately 5.00 million electrons participate in the avalanche caused by the single initial electron.
The process of gas ionization and the resulting electron avalanche play a crucial role in the operation of Geiger tubes for detecting ionizing radiation. The initial electron, accelerated by the high voltage, creates a cascade effect as it collides with gas molecules, leading to the liberation of a large number of electrons. This multiplication process enables the detection and measurement of ionizing radiation by producing a detectable electrical pulse. By calculating the total charge released and considering the charge per electron, we can estimate that around 5.00 million electrons participate in the avalanche triggered by the single initial electron.
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