We can use the law of conservation of momentum to determine the final momenta of both objects after the collision. The law states that the total momentum before a collision equals the total momentum after the collision.
So, the initial total momentum before the collision is:
<20, -6, 0> kg·m/s + <3, 6, 0> kg·m/s = <23, 0, 0> kg·m/s
After the collision, we can denote the final momenta of objects a and b as and, respectively. Using the law of conservation of momentum, we have:
+ = <23, 0, 0> kg·m/s
We can also use the fact that momentum is mass times velocity (p = mv) to relate the momenta to the velocities of the objects. Specifically, we can write:
= 7 kg * = 9 kg *
where and are the final velocities of objects a and b, respectively.
We also know that the collision object b has initial momentum <3, 6, 0> kg·m/s, which we can again relate to its initial velocity using the fact that momentum is mass times velocity. Specifically, we have:
<3, 6, 0> kg·m/s = 9 kg *
Now, we can solve for the final velocities of the objects using the above equations. Since we have three unknowns (v1x, v1y, v1z), we need three equations. One equation comes from the law of conservation of momentum, and the other two come from the fact that the relative velocity between the objects before and after the collision is reversed along the line of impact.
Along the x-axis, the relative velocity between the objects before the collision is:
20 kg·m/s / 7 kg - 3 kg·m/s / 9 kg = 2.4286 m/s
After the collision, the relative velocity is:
v1x - v2x = -2.4286 m/s
Similarly, along the y-axis, we have:
-6 kg·m/s / 7 kg - 6 kg·m/s / 9 kg = -1.4521 m/s
v1y - v2y = 1.4521 m/s
We can use these two equations to solve for v1x and v1y, and then use the law of conservation of momentum to solve for v1z. The final velocities of the objects are:
v1x = -0.2452 m/s
v1y = 3.5413 m/s
v1z = 0 kg·m/s
v2x = 1.3683 m/s
v2y = 1.3011 m/s
v2z = 0 kg·m/s
Therefore, object a has a final momentum of:
7 kg * <-0.2452, 3.5413, 0> kg·m/s = <-1.7164, 24.7891, 0> kg·m/s
and object b has a final momentum of:
9 kg * <1.3683, 1.3011, 0> kg·m/s = <12.3147, 11.7100, 0> kg·m/s.
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Explain how inductive reasoning is inferior to deductive reasoning in establishing theory.
Answer: Created Fall 2016 by Ronald Wilson Inductive reasoning uses a set of specific observations to reach an overarching conclusion; it is the opposite of deductive reasoning. So, a few particular premises create a pattern which gives way to a broad idea that is likely true.
Explanation: No explanation lol. But I hope this is helpful!
Please my teacher sucks at teaching this and i need help
The scenarios that could lead to an increase in the force of attraction by a factor of 4 are:
a) both particles double the amount of charge that they have and
b) the particles half the distance between them.
Force of attraction in the particlesThe force of attraction between two charged particles is given by Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Therefore, we can analyze each scenario and see how it affects the force of attraction:
a) If both particles double the amount of charge that they have, then the force of attraction will increase by a factor of 4 (2x2).
b) If the particles halve the distance between them, then the force of attraction will increase by a factor of 4 (1/(0.5)^2).
c) If the particles double the distance between them, then the force of attraction will decrease by a factor of 4 ((2)^2).
d) If the particles fourth the distance between them, then the force of attraction will increase by a factor of 16 (1/(0.25)^2).
e) If the particles increase their charge to be 4x as much while doubling the distance between them, then the force of attraction will remain the same. The increase in charge is offset by the increase in distance squared.
f) If both particles increase their charge to be 2x as much while halving the distance between them, then the force of attraction will increase by a factor of 8 (2x2x2).
g) If both particles quadruple their charge, then the force of attraction will increase by a factor of 16 (4x4).
Therefore, the scenarios that could lead to an increase in the force of attraction by a factor of 4 are a) and b). The scenario that could lead to an increase in the force of attraction by a factor of 16 is d), and the scenario that could lead to an increase in the force of attraction by a factor of 8 is f). The other scenarios do not result in an increase in the force of attraction by a factor of 4.
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voyager 2 should reach the nearest stars (besides the sun) in about 500 years. T/F
The statement "voyager 2 should reach the nearest stars (besides the sun) in about 500 years" is false.
Voyager 2, launched in 1977, is currently traveling at a speed of about 34,000 miles per hour (54,700 kilometers per hour). At this speed, it would take tens of thousands of years for Voyager 2 to reach even the closest stars in our Milky Way galaxy, which are several light-years away.
The spacecraft's primary mission was to explore the outer planets of our solar system, and it is now on an interstellar trajectory, but its journey is primarily aimed at studying the space environment beyond our solar system rather than reaching specific stars.
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25 POINTS!!! NEED ASAP!
Which quantities do you need to know in order to determine the change in an object's momentum?
A. Change in time and force
B. Velocity and change in time
C. Acceleration and change in direction
D. Change in speed and force
Answer:
B.
Explanation:
The amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.
The change in momentum is the mass and the change in velocity. Option E is correct.
To determine the change in an object's momentum, you need to know the object's mass and the change in its velocity. The momentum of an object is termed as the product of its mass as well as velocity. Mathematically, momentum (p) is expressed as:
p = m × v
Where:
p is the momentum,
m is mass of the object, and
v is the velocity of the object.
The change in an object's momentum (∆p) is given by the difference between its initial momentum (p₁) and its final momentum (p₂):
∆p = p₂ - p₁
Since momentum is dependent on both mass and velocity.
Hence, E. is the correct option.
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--The given question is incorrect, the correct question is
"Which quantities do you need to know in order to determine the change in an object's momentum? A. Change in time and force B. Velocity and change in time C. Acceleration and change in direction D. Change in speed and force E) Mass and change in velocity."--
A car has a speed of 2 m/s and a mass of 1500kg. What is the car’s kinetic energy
Answer:
3,000 m/s
Explanation:
3,000 m/s
What does the use of the phrase "the lucky ones"
convey about the author's viewpoint?
What does the phrase "But we never ate enough to
satisfy our hunger" demonstrate about the author?
Answer:
1. He feels worse off.
2. His awareness of the grim situation.
Explanation:
Elie Weisel's memoir "Night" is about the persecution of the jews by the Germans during the worst genocide in world history. The events leading up to the Holocaust and the resulting after-effects through his personal experience provides one of the most prominent witness accounts of the crime.
When Weisel states that "lying down wasn't an option", he reveals how congested space was in the cabin. The "lucky ones" were able to breathe in the fresh air from the window, while the rest have to be satisfied with wherever they are. This reveals his realization of the grim situation inside the over-packed cabin, where there is hardly any space to move.
And when he said that they "never ate enough to satisfy our hunger", he presents the realization and understanding of the grim situation in the train's cabin where eating is not a luxury, but a necessity to stay alive. And for that, they know they have to "economize, to save for tomorrow" rather than just stay full once.
Answer:
1. He feels worse off.
2. His awareness of the grim situation.
Explanation:
Un tren viaja con un movimiento R.U durante 7 horas y recorre un deslazamiento total de 5558 Km. ¿Cuál será su magnitud de la velocidad en esa trayectoria? *
Answer:
220,6 m/s
Explanation:
En un movimiento rectilineo uniforme la velocidad del objeto esta definida como:
\( v = \frac{x}{t} \)
En donde:
x: es el desplazamiento = 5558 km
t: es el tiempo = 7 h
Primero, debemos convertir las unidades del tiempo de horas a segundos, y del desplazamiento de kilometros a metros:
\(t = \frac{3600 s}{1 h}*7 h = 2.52 \cdot 10^{4} s\)
\(x = \frac{1000 m}{1 km}*5558 km = 5.56 \cdot 10^{6} m\)
Ahora, podemos hallar la velocidad:
\( v = \frac{x}{t} = \frac{5.56 \cdot 10^{6} m}{2.52 \cdot 10^{4} s} = 220,6 m/s \)
Por lo tanto, la magnitud de la velocidad es 220,6 m/s.
Espero que te sea de utilidad!
PLEASE HELPPP! :))))
Answer:
Jupiter Neptune moon Uranus
Explanation:
A 20N force and a 15N force act at the same time on an object of mass 14kg. Calculate the maximum possible force on the object due to these two forces
Answer:
20 n
time is t sec
20
15n
mass 14kg
Answer:
Explanation:
Given:
F₁ = 20 N
F₂ = 15 N
_________
Rmax - ?
Resultant maximum force:
Rmax = F₁ + F₂ = 20 + 15 = 35 N
Heat always flows from ______________________ materials to ______________________ materials.
Not sure what the exact wording would be, but heat always flows from the hotter object to the colder object.
Two pellets, each with a charge of 1.2 microcoulomb
(1.2×10−6 C), are located 2.6 cm(2.6×10−2 m) apart. Find the
electric force between them.
The electric force between two charged objects can be calculated using Coulomb's law. Coulomb's law states that the electric force (F) between two charges is directly proportional to the product of the charges (q1 and q2) and inversely proportional to the square of the distance (r) between them. The formula for electric force is:
F = k * (|q1 * q2| / r^2)
Where:
F is the electric force
k is the electrostatic constant (k ≈ 8.99 × 10^9 N·m^2/C^2)
q1 and q2 are the charges
r is the distance between the charges
q1 = q2 = 1.2 × 10^(-6) C (charge of each pellet)
r = 2.6 × 10^(-2) m (distance between the pellets)
Substituting these values into the formula, we have:
F = (8.99 × 10^9 N·m^2/C^2) * (|1.2 × 10^(-6) C * 1.2 × 10^(-6) C| / (2.6 × 10^(-2) m)^2)
Calculating this expression will give us the electric force between the two pellets.
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Can you answer it for me pls
Answer:
the answer is b. because liquid always bubble when boiling
Question 4 of 10
Samples of different materials, A and B, have the same mass, but the sample
of B is higher in density. Which statement could explain why this is so?
A. The sample of material B has greater volume than the sample of
material A.
B. The particles that make up material A are more closely packed
together than the particles that make up material B.
C. The particles that make up material B are more closely packed
together than the particles that make up material A.
D. The particles that make up material A have more mass than the
particles that make up material B.
SUBMIT
A person stands 6.00 m from a speaker, and 8.00 m from an identical speaker. What is the wavelength of the first (n=1) interference maximum (constructive)
Answer:
2.00m
Explanation:
All we need to do to find the wavelength of the first intereference maximum is subtract both values we are given.
8.00 - 6.00 = 2.00m
Best of Luck!
What is Rotational Kinetic Energy?
Rotational kinetic energy is the energy an object possesses due to its rotation around an axis. It is half of the product of an object's moment of inertia and angular velocity squared.
What is kinetic energy?
Kinetic energy is the energy required by an object as a result of its motion. It is equal to one half of an object's mass multiplied by its velocity squared.
Mathematically, it can be represented as E_k = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. Kinetic energy is a scalar quantity and has the units of joules (J) in the SI system of units.
What is moment of inertia?
The moment of inertia of an object is a measure of its resistance to changes in rotation rate. It is a property of a rigid body that describes how its mass is distributed relative to a given axis of rotation. The greater an object's moment of inertia, the harder it is to change its rotational motion.
Mathematically, moment of inertia is defined as I = ∑mr^2, where m is the mass of each particle in the object and r is the distance from each particle to the axis of rotation.
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Which two concepts are Newton's laws based on?
Question 2 options:
inertia and gravity
inertia and force
energy and momentum
acceleration and velocity
Please help I have no clue.
Answer:
concepts of inertia and gravity
How many electrons fill the outer shell of the smallest four elements ( H, He, Li, & Be)?
Just one electrons fill the outer shell of the smallest four elements( H, He, Li, & Be).
What is an element?A chemical element is a described as chemical substance that cannot be broken down into other substances.
The elements Hydrogen (H), lithium (Li), and sodium (Na), are group 1 elements and are called inert gases or noble gases because of their non-reactivity, hence have just one electron in their outermost shells.
Elements has properties and the properties include, but are not limited to, conductivity, magnetism, melting point, boiling point, color, state of matter, and others.
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A particle of charge q is fixed at point P, and a second particle of mass m and the same charge q is initially held a distance r1 from P. The second particle is then released. Determine its speed when it is a distance r2 from P. Let q=3.1 μC,m=20 mg,r1=0.90 mm, and r2=2.5 mm.
The speed of the charge when the distance r₂ from P is 2.5 mm is about 3.80 × 10⁶ m/s. This is because the energy of the charge remains conserved.
What is the speed of charge?The expression for the electric potential energy of two point charges separated by a distance r is given as:
U = k × q₁ × q₂/r
where, U = electric potential energy, k = Coulomb's constant (9 × 10⁹ Nm²/C²)
q₁ and q₂ are the charges
r = separation between the charges
In the given problem, a particle of charge q is fixed at point P, and a second particle of mass m and the same charge q is initially held a distance r₁ from P. The second particle is then released.
Therefore, the electric potential energy of the second particle, when it is held at a distance r₁ from P is given as:
U = k × q²/r₁
Mass of the second particle, m = 20 mg
Let the speed of the second particle when it is a distance r₂ from P be v. The initial energy of the second particle when it is held at a distance r₁ from P is all converted to kinetic energy when it reaches a distance r₂ from P.
Energy gained by the second particle is given by the difference in electric potential energy between the two distances, U = k × q²(1/r₁ - 1/r₂)
At a distance r₂ from P, the kinetic energy of the second particle is given as:
K.E = (1/2) × m × v²
According to the principle of conservation of energy, the total energy of the second particle remains constant.
U + K.E = constant
m × v²/2 + k × q²(1/r₁ - 1/r₂) = k × q²/r₁
v = sqrt(2 × k × q² /r₁ × (1/r₂ - 1/r₁) / m)
Substituting the given values in the above expression,
v = sqrt(2 × 9 × 10⁹ Nm²/C² × (3.1 μC)²/0.9 mm × (1/2.5 mm - 1/0.9 mm) / (20 × 10⁻⁶ kg)) = 3.80 × 10⁶ m/s
Therefore, the speed of the second particle when it is a distance r₂ from P is 3.80 × 10⁶ m/s.
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a jet was going 100 m/s. over a distance of 200m, the jet accelerated up to a speed of 150 m/s. how long did this take?
It took jet 1.6 seconds to accelerate from 100 m/s to 150 m/s over the distance of 200m.
What is Acceleration?Acceleration is defined as the rate of change of velocity (v) with respect to time. Mathematically, the instantaneous measurement of acceleration is given by-
a = dv/dt
Given is a jet moving at 100 m/s such that it accelerated to a speed of 150 m/s over the distance of 200m. From this, we can write -
Initial velocity [u] = 100 m/s
Final velocity [v] = 150 m/s
Distance covered [d] = 200m
Using the third equation of motion -
v² - u² = 2aS
150 x 150 - 100 x 100 = 2 x a x 200
250 x 50 = 400a
a = (250 x 50)/400
a = 31.25 m/s²
Using first law of motion -
v = u + at
150 = 100 + 31.25t
t = 50/31.25
t = 1.6 seconds
Therefore, it took jet 1.6 seconds to accelerate from 100 m/s to 150 m/s over the distance of 200m.
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HELP ASAP PLEASE!!! Lab: Thermal Energy Transfer
Locate the data and observations collected in your lab guide. What are the key results? How would you best summarize the data to relate your findings?
The best way to summarise the key results in a lab guide is by representing them through diagrams.
The important findings in a lab report are those that confirm or refute the working theories. Furthermore, other findings that are crucial to understanding the processes and/or mechanisms explored in the experiment may also be among the significant findings. The best way to summarise these results is by presenting them through diagrams o graphical presentation.
Key outcomes in an experiment can be findings that serve as stepping stones toward the trial's conclusion or findings that may not directly relate to the experiment itself but are nonetheless crucial to its success. A significant finding in an experiment is one that determines whether a hypothesis is accepted or rejected.
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If the definition of gravity is an attractive force between two masses, why do we not feel a gravitational force between two people?
Answer: Because your mass is so much less than the mass of the Earth,
Explanation:
You can't feel your gravitational force. Because the Earth's gravity has the same pull on every object, all objects fall at the same speed (in a vacuum). On Earth, we have air. Air resistance will cause some objects to fall more slowly than others will.
Hope it helps I had this question too!
Have a good day
You are crouched at the "start" line. Bang! The race begins and 7 seconds later you end up 60 yards down the track. What was your "acceleration?"
Answer:
a = 7.35 ft / s²
Explanation:
For this exercise we must use the kinematics relations
x = v₀ t + ½ a t²
as the runner leaves the starting line his initial velocity is zero
x = ½ a t²
a = \(\frac{2x}{t^2}\)
let's reduce the distance to foot
x = 60 yd (3ft / 1yd) = 180 ft
let's calculate
a = 2 180 / 7²
a = 7.35 ft / s²
A person pulls up on a light rope, which is wrapped under a light frictionless pulley, and attached to a fixed ceiling above. The person and platform weigh a total of 1500 N. How much tension would the person need to apply to hold themselves off the ground?
A light rope that is looped around a thin, frictionless pulley and fastened to a fixed roof above T=750N is used to raise the person.
A frictionless pulley is what?The frictionless pulley is one that can revolve freely and without encountering any resistance due to little friction in its bearings. We do not imply that there is little to no friction between the rope and the pulley surface.
Uses for frictionless pulleyThe pulley is a mechanism used to alter the direction and strength of the force acting on it while it is being utilized. The amount of friction in the pulley affects the tension that the string and rope transmits.
From newton's second law \(=F=T\)
\(F+T=W\\T+T=W\\2T=1500\\T=750N\)
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1. When does raising the temperature of a gas increase its pressure? when volume is increased and the number of particles is constant when volume is increased and the number of particles is increased when volume and the number of particles are constant
Answer:
when volume and the number of particles are constant
Explanation:
Gay Lussac law states that when the volume of an ideal gas is kept constant, the pressure of the gas is directly proportional to the absolute temperature of the gas.
Mathematically, Gay Lussac's law is given by;
\( PT = K\)
\( \frac{P1}{T1} = \frac{P_{2}}{T_{2}}\)
The ideal gas law is the equation PV = nRT
Where;
P is the pressure.
V is the volume.
n is the number of moles of substance.
R is the ideal gas constant.
T is the temperature.
Generally, raising the temperature of an ideal gas would increase its pressure when volume and the number of particles are constant.
This ultimately implies that, when volume and the number of particles are held constant, there would be a linear relationship between the temperature and pressure of a gas i.e temperature would be directly proportional to the pressure of the gas. Thus, an increase in the temperature of the gas would cause an increase in the pressure of the gas at constant volume and number of particles.
HELP ASAP!!!
which statements below best describes colors, Check all that apply
black pigment is the absorption of red, green, and blue light.
black pignment is the reflection of red, green, and blue light
white light is the combination of red, green, and blue light
white pigment is the absorption of red, green, and blue light
Answer:
1)Black pigment is the absorption of red, green, and blue light.
3)White light is the combination of red, green, and blue light
The cat quickly hopped from the floor onto the couch.
is an example of what? position, motion, speed, velocity or acceleration
Answer: Motion
Explanation:
A person is standing on a raft; their
combined mass is 233 kg. What is the
volume of water displaced by the raft?
[?] m3
Pwater = 1,000 kg/m3
Answer:
The volume of water displaced by the raft is 0.233 m³
Explanation:
The question relates to Archimedes' principle which states that the buoyant force experienced by an object immersed in a fluid is equal to the weight of (the force of gravity on) the displaced fluid
The given parameters are;
The combined mass of the person and the raft, m = 233 kg
The liquid on which the raft is located = Water
The density of water, \(\rho _{water}\) = 1000 kg/m³
Weight = Mass, m × g
Where;
m = The mass of the object
g = The acceleration due to gravity = 9.8 m/s²
Given that the raft is on the surface of the water (floating), the buoyant force is equal to the combined weight of the person and the raft = 233 kg
The combined weight of the person and the raft, \(W_{combined}\) = 233 kg × 9.8 m/s² = 2,283.4 N
Therefore;
The buoyant force = 2,283.4 N = The weight of the water displaced
The mass of the water displaced, \(m_{water}\), = 2,283.4 N/(9.8 m/s²) = 233 kg
Density = Mass/Volume
The volume of water displaced by the raft = The mass of the water displaced/(The density of the water) = 233 kg/(1,000 kg/m³) = 0.233 m³.
Answer:
the volume displaced by the raft = 0.233 m3
Explanation:
correct for Acellus
The distance from one crest to the next is the ________.
Answer:
Wavelength.
Explanation:
1 period, or wavelength, is measured from one crest to another or from one trough to another.
How does a wheel and axle make work easier?
The wheel and axle is a simple machine that reduces the friction involved in moving an object, making the object easier to transport. ... Once the object is moving, the force of friction opposes the force exerted on the object. The wheel and axle makes this easier by reducing the friction involved in moving an object.
In addition to reducing friction, a wheel and axle can also serve as a force multiplier, according to Science Quest from Wiley. If a wheel is attached to an axle, and a force is used to turn the wheel, the rotational force, or torque, on the axle is much greater than the force applied to the rim of the wheel.
How much work is done when mass of 3kg(weighing 30N)is lifted vertically through 6m?
Answer:
180 [J].
Explanation:
1) the required work [W] can be calculated as difference of the energy: W=E₂-E₁, where E₁=mgh₁ - the energy before lifting, E₂=mgh₂ - the energy after lifting;
2) W=mgh₂-mgh₁, where m - mass; g=10 [N/kg], h - height;
3) then the required work [W]:
W=mg*(h₂-h₁)=30*6=180 [J].