One ball of mass 0.600kg travelling 9.00m/s to the right collides head on elastically with a second ball of mass 0.300kg travelling 8.00m/s to the left.what are their velocities after collisions?
Answers
Let m₁ and v₁ denote the mass and initial velocity of the first ball, and m₂ and v₂ the same quantities for the second ball. Momentum is conserved throughout the collision, so
m₁ v₁ + m₂ v₂ = m₁ v₁' + m₂ v₂'
where v₁' and v₂' are the balls' respective velocities after the collision.
Kinetic energy is also conserved, so
1/2 m₁ v₁² + 1/2 m₂ v₂² = 1/2 m₁ (v₁')² + 1/2 m₂ (v₂')²
or
m₁ v₁² + m₂ v₂² = m₁ (v₁')² + m₂ (v₂')²
From the momentum equation, we have
(0.600 kg) (9.00 m/s) + (0.300 kg) (-8.00 m/s) = (0.600 kg) v₁' + (0.300 kg) v₂'
which simplifies to
10.0 m/s = 2 v₁' + v₂'
so that
v₂' = 10.0 m/s - 2 v₁'
From the energy equation, we have
(0.600 kg) (9.00 m/s)² + (0.300 kg) (-8.00 m/s)² = (0.600 kg) (v₁')² + (0.300 kg) (v₂')²
which simplifies to
67.8 J = (0.600 kg) (v₁')² + (0.300 kg) (v₂')²
or
226 m²/s² = 2 (v₁')² + (v₂')²
Substituting v₂' yields
226 m²/s² = 2 (v₁')² + (10.0 m/s - 2 v₁')²
which simplifies to
3 (v₁')² - (20.0 m/s) v₁' - 63.0 m²/s² = 0
Solving for v₁' using the quadratic formula gives two solutions,
v₁' ≈ -2.33 m/s or v₁' = 9.00 m/s
but the second solution corresponds to the initial conditions, so we omit that one.
Then the second ball has velocity
v₂' = 10.0 m/s - 2 (-2.33 m/s)
v₂' ≈ 14.7 m/s
Related Questions
What is the kinetic energy of a 4.0 kg cart that is moving at a speed of 0.50 m/s?
Answers
Explanation:
K.E = 1/2mv²
K.E = 1/2 x 4 x 0.5²
K.E = 0.5J
true or false
one ton is equal to 10 quintal
Answers
Answer:
True
Explanation:
1 ton = 10 quintals
Question 2 of 10
A football is kicked with a velocity of 18 m/s at an angle of 20". What is the
ball's acceleration in the horizontal direction as it flies through the air?
O A. 16.9 m/s2
O B. 0 m/s2
O C. 9.8 m/s2
O D. 6.1 m/s2
Answers
Answer:
B
Explanation:
The question does not specify any outside forces that could slow down the ball horizontally. There fore the ball does not accelerate or decelerate horizontally. Therefore, a = 0m/s2
two small charged particles, 1 and 2, are separated by 0.1mm. if the charge is tripled on both particles, how does the force by particle 1 on particle 2 change?
Answers
Integral multiple copies of e are used to quantify charge in any common material. While electrons carry one unit of negatively charged, e, protons carry one unit of positively charged, +e.
It's sometimes referred to as an electron, right?
The word "electron" now refers to
Visit the following to learn more about electrons:
cathode ray particles with negative charges. The minuscule electrons are negatively charged particles with very little mass. The mass of an atom is made up of both protons and neutrons.
We can now use the ideal gas law to calculate each partial pressure:
PHe=nHeRTV=81.54mol×0.08206atm⋅Lmol⋅K×293.15K10.0L=196.2atm
PO2=nO2RTV=1.60mol×0.08206atm⋅Lmol⋅K×293.15K10.0L=3.85atm
The total pressure is formed by adding the two component pressures:
Ptot=PHe+PO2=(196.2+3.85)atm=200.1atm
Any common material's charge is quantified in scale item e. A proton has one positive charge, +e, wh
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Explain what it means when scientists say that the offspring of sexual reproduction are genetically diverse.
Answers
Answer: During sexual reproduction, the genetic material of two individuals is combined to produce genetically-diverse offspring that differ from their parents. The genetic diversity of sexually-produced offspring is thought to give species a better chance of surviving in an unpredictable or changing environment
Question.......
don't spam
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Hope this helps (:
hi hello can i get help on this ASAP
its two questions just to let you know
please please help
Answers
The whole wheat bread contains more protein than the white bread .
if you eat tossed salad without ranch dressing ,you gain 4 grams of protein.
What is tossed salad ?
a green salad that frequently includes additional veggies (such sliced tomato and cucumber) and is dressed with oil.
Benefits of eating salads :
Healthy Salads Help You Get Enough Fruits and Vegetables.
Vegetable and Fruit Salads are Full of Fibre.
Healthy Salads Cut Calorie Consumption.
You’ll Get Access to Good Fats.
A Salad Provides Water .
Salads Can Cool You Down.
What is whole wheat bread ?Using flour that has been partially or totally milled from whole or nearly-whole wheat grains, whole wheat bread, also known as wholemeal bread, is a type of bread. For more information, see whole-wheat flour and whole grain. It is a specific type of brown bread. Outside of the United States (such as the UK), whole grain bread and wholemeal bread are synonyms or close synonyms for whole-wheat bread. In some US regions, the bread is simply referred to as wheat bread in contrast to white bread. When compared to the nutritional worth of a high-quality loaf, some varieties of whole-wheat bread are customarily sprinkled with whole or broken grains of wheat.
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Which object provides an inertial frame of reference?.
Answers
Answer:
a skydiver falling at terminal (constant) velocity
Explanation:
You are moving a chair by sliding it across the ground. The maximum force you can give the chair before it slides is 150 N. If you push the chair with 250 N of force and the chair begins to slide, what will the frictional force be?
Answers
Answer:
Frictional force will be 150N
Mickey had three substances. He hit each of them with a hammer. A red
substance was malleable and easily flattened. A white crystal cracked but did
not break. A silver substance flattened but did not crack. Which two
statements could be true?
A. The silver substance is a metal,
B. The red substance is ionic,
C. The silver substance is ionic.
I D. The white substance is ionic.
Answers
Answer:
A & D
Explanation:
Took the test already
The two statements that could be true on the basis of the information given in the question are as follows:
The silver substance is metal.The white substance is ionic.Thus, the correct options are A and D.
What are the properties of metal?The properties of the metal are described as follows:
They are good conductors of heat and electricity.They possess high melting points and high density. They are malleable, ductile, and lustrous in nature. They are generally hard as compared to other elements.The silver substance is metal because it is flattened into thin sheets but did not crack. This shows the property of malleability of metals. The white substance is ionic because it is cracked but did not break. It shows that ionic compounds are tough to break.
A red substance is also metal but does not express in any options.
Therefore, the correct options for this question are A and D.
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Integrated Concepts Space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 900 km above Earth's surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite's orbit at an angle of 90° relative to Earth. What is the velocity of the rivet relative to the satellite just before striking it? (c) Given the rivet is 3.00 mm in size, how long will its collision with the satellite last? (d) If its mass is 0.500 g, what is the average force it exerts on the satellite? (e) How much energy in joules is generated by the collision? (The satellite's velocity does not change appreciably, because its mass is much greater than the rivet's.)
Answers
Velocity of the satellite that is orbiting earth is 83.45m/s, which makes the velocity of the rivet relative before striking also 83.45m/s and the time duration of collision is 4.53× 10⁻⁵ s. The avg force that is exerted by the rivet on the satellite is 9.27N and the energy that is generated by the collision is 1.63J.
a) Velocity of the satellite in an orbit 900 km above Earth's surface can be calculated as follows: Formula: `v = sqrt(GM/r)` Where,v = velocity, M = Mass of Earth, r = radius of the orbit (r = R + h)R = radius of the Earth = 6.37 × 10⁶ mh = height above Earth's surface = 900 km = 9 × 10⁵ mG = 6.67 × 10⁻¹¹ N m²/kg²By substituting the given values, we getv = sqrt((6.67 × 10⁻¹¹ × 5.97 × 10²⁴)/(6.37 × 10⁶ + 9 × 10⁵))= sqrt(6.965 × 10³) = 83.45 m/s.
Therefore, the velocity of the satellite in an orbit 900 km above Earth's surface is 83.45 m/s.
b) Velocity of the rivet relative to the satellite just before striking it can be calculated as follows: Velocity of the rivet, `v_rivet = v_satellite * sin(θ)`Where, v_satellite = 83.45 m/sθ = 90°By substituting the given values, we getv_rivet = 83.45 * sin 90°= 83.45 m/s.
Therefore, the velocity of the rivet relative to the satellite just before striking it is 83.45 m/s.
c) The time duration of collision, `Δt` can be calculated as follows:Δt = (2 * r_rivet)/v_rivet, Where,r_rivet = radius of the rivet = 3/2 × 10⁻³ m. By substituting the given values, we getΔt = (2 * 3/2 × 10⁻³)/83.45= 4.53 × 10⁻⁵ s.
Therefore, the time duration of collision is 4.53 × 10⁻⁵ s.
d) The average force exerted by the rivet on the satellite, `F` can be calculated as follows: F = m_rivet * Δv/ΔtWhere,m_rivet = mass of the rivet = 0.5 g = 0.5 × 10⁻³ kgΔv = change in velocity of the rivet = 83.45 m/sΔt = time duration of collision = 4.53 × 10⁻⁵ sBy substituting the given values, we get F = (0.5 × 10⁻³ * 83.45)/4.53 × 10⁻⁵= 9.27 N.
Therefore, the average force exerted by the rivet on the satellite is 9.27 N.
e) The energy generated by the collision, `E` can be calculated as follows: E = (1/2) * m_rivet * Δv²Where,m_rivet = mass of the rivet = 0.5 g = 0.5 × 10⁻³ kgΔv = change in velocity of the rivet = 83.45 m/s. By substituting the given values, we getE = (1/2) * 0.5 × 10⁻³ * 83.45²= 1.63 J.
Therefore, the energy generated by the collision is 1.63 J.
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A(n) _____ is used to convert mechanical energy into electrical energy.
Answers
Answer:
take any of them
Explanation:
mechanisms that convert mechanical energy to electrical energy are turbine steam engines, internal combustion engines, and wind turbines (Electric Generator
suppose the wavelength of the light is 490 nm . how much farther is it from the dot on the screen in the center of fringe e to the left slit than it is from the dot to the right slit?
Answers
The distance from the center of fringe e to the left slit is the same as the distance to the right slit.
d = (m * λ * D) / (y * D +/- x)
\(x_{left} - x_{right}\)= (m * λ * D) / y - (m * λ * D) / y = 0
The term "fringe" can have several different meanings depending on the context. However, one of the most common uses of this term refers to the interference pattern that occurs when waves, such as light or sound, interact with each other. For example, when light passes through a narrow slit or a diffraction grating, it spreads out and produces a pattern of bright and dark fringes on a screen behind it. This pattern is caused by the constructive and destructive interference of the waves passing through the slit or grating.
Fringe can also refer to the edge or border of an object, as in the case of the fringes of a hologram or the fringes of a diffraction pattern. In some cases, the term "fringe" is also used to describe phenomena that are on the boundary or at the limits of our understanding, such as fringe science or fringe theories.
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At 6: 00 am, a motorbike set off from town A to town B at a speed of 40km/h. At the same time, a car set off from town B to town A at a speed of 60km/h. What time did they meet
Answers
Answer:
One would need to know how far apart the towns are:
T = SA / 40 time it takes for first cyclist to travel S1
T = SB / 60 time it takes for cyclist B to travel distance S2
SA + SB = S the distance between the towns
SB = 60 / 40 SA = 1.5 SA
SA + 1.5 SA = S
S = 2.5 SA where cyclist travels distance SA
The time will depend on the separation of the towns.
if you stand 2.0 m in front of a plane mirror, what is the distance between you and your mirror image?
Answers
if you stand 2.0 m in front of a plane mirror, 4.0 m is the distance between you and your mirror image.
When you stand 2.0 m in front of a plane mirror, your image is formed behind the mirror, also 2.0 m away from the mirror. Therefore, the total distance between you and your mirror image is 2.0 m (from you to the mirror) + 2.0 m (from the mirror to your image) = 4.0 m.
The distance between you and your mirror image is twice the distance between you and the mirror itself, which is 4.0 m.
When you stand in front of a plane mirror, your mirror image is formed behind the mirror at a distance that is twice the distance between you and the mirror.
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determine whether s is a basis for the indicated vector space. s = {(0, 0, 0), (6, 4, 3), (3, 1, 6)} for r3
Answers
Since, s is both linearly independent and spans R3, we can say that s is a basis for R3. Additionally, we can say that s is a set of three linearly independent vectors in R3 that can be used to represent any vector in R3.
To determine whether s is a basis for R3, we need to check if s is linearly independent and spans R3.
First, we check for linear independence. We can set up the equation a(0,0,0) + b(6,4,3) + c(3,1,6) = (0,0,0) and solve for a, b, and c. This simplifies to the system of equations:
6b + 3c = 0
4b + c = 0
3b + 6c = 0
The only solution to this system is a = b = c = 0, which means that s is linearly independent.
Next, we check if s spans R3. This means that any vector in R3 can be expressed as a linear combination of the vectors in s.
Let (x,y,z) be an arbitrary vector in R3. We want to find scalars a, b, and c such that a(0,0,0) + b(6,4,3) + c(3,1,6) = (x,y,z). This simplifies to the system of equations:
6b + 3c = x
4b + c = y
3b + 6c = z
We can solve for b and c in terms of x, y, and z:
c = (2x - 3y)/3
b = (y - (2x - 3y)/3)/4 = (y - 2x + 3y)/12 = y/3 - x/6
Now we can express any vector (x,y,z) in R3 as a linear combination of the vectors in s:
(x,y,z) = a(0,0,0) + b(6,4,3) + c(3,1,6)
(x,y,z) = (y/3 - x/6)(6,4,3) + (2x - 3y)/3(3,1,6)
Since we can express any vector in R3 as a linear combination of the vectors in s, s spans R3.
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what's electron affinity? and what is the formula of electric current?
Answers
Answer:
Electron affinity is the energy change that results from adding an electron to a gaseous atom. For example, when a fluorine atom in the gaseous state gains an electron to form F⁻(g), the associated energy change is -328 kJ/mol.
Give brainliest please.
Answer:
Electron affinity is the energy change that results from adding an electron to a gaseous atom.
Sorry I don't know about the second one.
Suzie riding her bike is able to get her bike to 20m/s in just 5 seconds. What is her acceleration?
Answers
Answer:
4
Explanation:
because 20/5 is 4, which means that suzie's acceleration is 4. Hope I helped
A frictionless pulley has a rope going over it the tension in the rope is 1- n on one side and 12 n on the other side what is the angular acceleration of the pulley?
Answers
The angular acceleration of the frictionless pulley that has a rope going over it the tension in the rope is 10 n on one side and 12 n on the other side is 16.06 rad/s²
The mass of the solid cylinder, m = 0.83kg and radius, r = 0.30 m
The moment of inertia = 1/2 mr²
I = 1/2 (0.83) (0.30)²
I = 0.03735 kg m²
The net torque = F₁r - F₂r = 12(0.3) - 10(0.3) = 0.6 Nm
Torque = moment of inertia (I) × angular acceleration (α)
Substituting the values,
α = 16.06 rad/s²
Therefore, the angular acceleration of the pulley is 16.06 rad/s².
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(complete question)
A frictionless pulley which can be modeled as a 0.83kg solid cylinder with a 0.30 m radius, has a rope going over it the tension in the rope is 10 n on one side and 12 n on the other side what is the angular acceleration of the pulley?
A cannon is fired horizontally
from a 5.0 m tall tower. How much time will it take until the projectile hits the ground?
Answers
Answer:
1.0 s
Explanation:
How fast the projectile is traveling HORIZONTALLY has no effect on how long it takes to hit the ground......only the initial height (5 m) and gravity (-9.81 m/s^2) will affect how long it takes to do so...
df = final position = 0 when it hits the ground
df = do + vot + 1/2 a t^2
0 = 5 + 0 t - 1/2 (9.81) t^2
5 = 1/2 (9.81) t^2
t = 1.0 s
A 50 km/hr wind is blowing due northwest what are the components of the wind in the northern
and western direction?
Answers
Answer:
The components of the wind in the northern direction is approximately 35.36 km/hr
Similarly, the components of the wind in the western direction is approximately 35.36 km/hr
Explanation:
The given parameters are;
The magnitude of the speed of the wind, v = 50 km/hr
The direction of the wind = The northwest direction
Therefore;
Given that the angle between the northern and western direction = 90°
The angle in the northwestern direction, θ = 90°/2 = 45°
Therefore;
The components of the wind in the northern direction = \(v_y\) = v × sin(θ)
Substituting the values, we have;
The components of the wind in the northern direction = \(v_y\) = 50 × sin(45°) = 50/√2 ≈ 35.36 km/hr.
Similarly, the components of the wind in the western direction = vₓ = 50 × cos(45°) = 50/√2 ≈ 35.36 km/hr
What is am object the size of kilometers
Answers
Answer:
Explanation:
It could be a space asteroid
A hiker walks 5.00 kilometers due north and then 7.00 kilometers due east.
What is the magnitude of her resultant displacement?
Answers
Answer:
8.6 km
Explanation:
Use Pythagorean theorem
D^2 = 5^2 + 7^2
= 25 + 49
D = sqrt (74) = 8.6 km
a beam of monochromatic light is diffracted by a slit of width 0.630 mm. the diffraction pattern forms on a wall 1.26 m beyond the slit. the width of the central maximum is 2.05 mm. calculate the wavelength of the light. nm
Answers
The Wavelength of light is D=2.06m.
A slit with a width of 0 point 630 mm diffracts a monochromatic light beam. 1 point 26 meters away from the slit, a wall develops a diffraction pattern. The central maximum measures 2 point 05 millimeters in width.
To find the wavelength of the light consider following points-
d=0.450mm=0.450×10⁻³m.
D=2.06m.
Reasoning -
The first dark fringe from the central bright fringe is where there is zero intensity on either side of it. The separation of the two zero intensities on either side of the bright central fringe is 4 points and 50 millimeters.The wavefront on the other side of the opening resembles the wave when light passes through a small opening that is comparable in size to the light's wavelength. And elaborate on light diffraction and the phenomenon known as single slit diffraction, which occurs when light passes through a single slit. When light passes through a single slit whose width (w) is on the order of the light's wavelength, we can observe single slit diffraction. The diffraction pattern on the screen will be L >> w away from the slit. Angle influences the intensity.To know more about single slit diffraction-
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Two balloons of different mass hang from strings near each other. You charge them about the same amount by rubbing each balloon with wool.Draw a force diagram for each of the balloons.
Draw the vectors starting at the balloons. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.
Answers
The diagrams of two vectors is shown below in pictorial representation.
Since the two balloons are charged with the same amount and are hanging from strings near each other, they will experience electrostatic repulsion due to their like charges.
Therefore, the force diagrams for each of the balloons will include a repulsive electrostatic force pointing away from the other balloon.
In addition to the electrostatic force, each balloon will experience a gravitational force due to its mass and the force of tension from the string that is holding it up.
Since the two balloons have different masses, the force diagram for each balloon will be slightly different.
For the lighter balloon, the force diagram would look something like this:
/ \
/ \
| |
| |
| Electro- |
| static |
| force |
| |
| |
| |
\ /
|
|
Tension
force
|
|
Gravitational
force
|
|
Mass
For the heavier balloon, the force diagram would look similar, but with a larger gravitational force vector and a smaller tension force vector due to the increased weight of the balloon:
/ \
/ \
| |
| |
| Electro- |
| static |
| force |
| |
| |
| |
\ /
|
|
Tension
force
|
|
Gravitational
force
|
|
Mass
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Find the force due to a current element of length 6cm and flux density of 12 tesla. The current through the element will be 10A.
Answers
Answer:
7.2 N
Explanation:
Applying,
F = BIL................. Equation 1
Where F = Force due to current through the element, B = magnetic field, L = Length of the element.
From the question,
Given: B = 12 Tesla, L = 6 cm = 0.06 m, I = 10 A
Substitute these values into equation 1
F = 12(0.06)(10)
F = 7.2 N
Hence the force through the element is 7.2 N
What is a chemical reaction
Answers
Answer:
a process that involves rearrangement of the molecular or ionic structure of a substance, as opposed to a change in physical form or a nuclear reaction.
Explanation:
Chemical reaction, a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds. A chemical reaction rearranges the constituent atoms of the reactants to create different substances as products.
Great Gatsby is one of the finest works of American fiction
Is it a
1. Science
2.Non-science
3.Pseudo-science
Answers
What method would likely be used to separate a mixture of colored inks?
Answers
This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.
One method to separate a mixture of colored inks is chromatography. Chromatography is a physical separation technique used to separate mixtures based on their molecular properties. In the case of colored inks, paper chromatography is a commonly used technique.
In paper chromatography, a small amount of the ink mixture is spotted onto a piece of chromatography paper, and the paper is placed in a container with a small amount of solvent (e.g. water, alcohol, or acetone). The solvent moves up the paper by capillary action, carrying the ink mixture with it. As the solvent moves up the paper, different components of the ink mixture are separated and are visible as colored bands.
The separation occurs because different components of the mixture have different affinities for the paper and the solvent. Components that are more soluble in the solvent will move up the paper more quickly, while those that are more attracted to the paper will move up more slowly. This results in a separation of the components based on their physical and chemical properties.
By comparing the separated bands of the ink mixture to those of known pure inks, the identity of each component in the mixture can be determined. This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.
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A likely method to separate a mixture of colored inks is through chromatography, a technique used to separate components of a mixture. It separates the ink into its constituent colors by allowing a solvent to travel up a stationary phase like paper, carrying the ink mixture with it.
Explanation:A method that would likely be used to separate a mixture of colored inks is chromatography. Chromatography is a method used in chemistry to separate components of a mixture. It works by using a stationary phase and a mobile phase. In the case of ink separation, the ink mixture would be placed on a stationary phase (like paper), and a solvent (the mobile phase) would be allowed to travel up the paper. As the solvent travels, it moves the mixture along its path. Each component of the ink by their size, chemical properties, and interaction with the solvent and paper will move at different rates, thereby separating the ink into its constituent colors. This method is particularly useful in analyzing the chemical composition of inks and other similar mixtures.
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Why is countercurrent flow better for dialysis?
Answers
The countercurrent flow is better for dialysis because-
The dialysate flows in the opposite direction from the blood. More urea and creatinine are removed from the blood as a result of the dialysate and blood flowing counter-currently, which optimizes the concentration gradient of solutes between the two fluids.
All throughout the dialyzer's length, countercurrent flow optimizes the concentration gradient between blood and dialysate Small solute clearance falls by 10% when blood flow and dialysate flow are cocurrent (moving in the same direction). Because they produce a more consistent temperature difference between the fluids along the whole length of the fluid channel, counter flow heat exchangers naturally outperform parallel flow heat exchangers in terms of efficiency.As an illustration, a faster blood flow rate boosts clearance by increasing the volume of blood evacuated each minute7. Additionally, a quicker dialysate flow rate results in more solutes being removed from the dialysate fluid, increasing the concentration gradient and the clearance rate8–10.To know more about dialysis here
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