two 100 kg astronauts are floating in space. the first astronaut is moving at 5 m/s while the second is at rest. the two astronauts collide. both astronauts are moving at 3 m/s. based on the information provided, which of the following statements is true?
Answers
Answer:
The true statement is;
Neither momentum or kinetic energy is conserved
Explanation:
The question relates to the verification of the conservation of linear momentum, and kinetic energy
The given parameters are;
The mass of each astronaut = 100 kg
From which, we have;
The mass of the moving astronaut, m₁ = 100 kg
The mass of the stationary astronaut, m₂ = 100 kg
The initial velocity of the moving astronaut, v₁ = 5 m/s
The initial velocity of the stationary astronaut, v₂ = 0 m/s
The final velocity of both astronauts, v₃ = 3 m/s
The sum of the initial momentum of both astronauts is given as follows;
[tex]P_{initial}[/tex] = m₁·v₁ + m₂·v₂ = 100 kg × 5 m/s + 100 kg × 0 m/s = 500 kg·m/s
[tex]P_{initial}[/tex] = 500 kg·m/s
The sum of the final momentum of the astronauts is given as follows;
[tex]P_{final}[/tex] = m₁·v₃ + m₂·v₃ = (m₁ + m₂) × v₃ = (100 kg + 100 kg) × 3 m/s = 600 kg·m/s
[tex]P_{final}[/tex] = 600 kg·m/s
∴ [tex]P_{initial}[/tex] = 500 kg·m/s ≠ [tex]P_{final}[/tex] = 600 kg·m/s
[tex]P_{initial}[/tex] < [tex]P_{final}[/tex], therefore, the sum of the linear momentum of both astronauts is not conserved
The sum of the initial kinetic energy of each astronaut is given as follows;
[tex]K.E._{initial}[/tex] = 1/2·m₁·v₁² + 1/2·m₂·v₂² = 1/2 × 100 kg × (5 m/s)² + 1/2 × 100 kg × (0 m/s)² = 1250 Joules
[tex]K.E._{initial}[/tex] = 1250 Joules
The sum of the final kinetic energy of the astronaut is given as follows;
[tex]K.E._{final}[/tex] = 1/2·m₁·v₃² + 1/2·m₂·v₃² = 1/2 × 100 kg × (3 m/s)² + 1/2 × 100 kg × (3 m/s)² = 900 joules
[tex]K.E._{final}[/tex] = 900 joules
[tex]K.E._{initial}[/tex] > [tex]K.E._{final}[/tex], therefore, the kinetic energy is not conserved
From which we get that neither momentum or kinetic energy is conserved.
Related Questions
in what way is Speed related to Kinetic Energy?
Answers
Answer:
It turns out that an object's kinetic energy increases as the square of its speed
Explanation:
A car moving 40 mph has four times as much kinetic energy as one moving 20 mph, while at 60 mph a car carries nine times as much kinetic energy as at 20 mph.
basiclly the faster the more impact it has when it suddenly stops or hit somthing
The section of the lever to the right of the fulcrum could be described as the?
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Answer:
Input Force
Explanation:
Answer:
resistance distance.
Explanation:
What is the relationship between distance and sound wave return time?
Answers
Ee = %2 xkx e?. Re-arrange to give an equation for:
a) The spring constant k.
b) The extension squared e2.
c) The extension e.
Answers
Answer:
a) Equation for spring constant k is [tex]k = \frac{2E}{e^2}[/tex]
b)Equation for the extension squared is [tex]e^2 = \frac{2E}{k}[/tex]
(c) Equation for the extension e is [tex]e = \sqrt{\frac{2E}{k} }[/tex]
Explanation:
Given;
[tex]E = \frac{1}{2} ke^2[/tex]
where;
E is the elastic potential energy
k is the spring constant
e is the extension of the spring
a) Equation for spring constant k is given as.
[tex]E = \frac{1}{2} ke^2\\\\ke^2 = 2E\\\\k = \frac{2E}{e^2}[/tex]
(b) Equation for the extension squared e2;
[tex]E = \frac{1}{2} ke^2\\\\ke^2 = 2E\\\\e^2 = \frac{2E}{k}[/tex]
(c) Equation for the extension e;
[tex]e^2 = \frac{2E}{k} \\\\e = \sqrt{\frac{2E}{k}}[/tex]
When electricity moves through a metal wire, the wire is
A. A resistor
B. A conductor
C. an insulator
D. a power supply
Answers
When electricity moves through a metal wire, the wire is option B. A conductor.
What is a Conductor?Conductors are materials that allow electricity to flow easily through them. An electric current flows when electrons move through a conductor, such as a metal wire. The moving electrons can collide with the ions in the metal. This makes it more difficult for the current to flow and causes resistance.The flow of electricity through a wire is the flow of electrons. An electron is a negatively charged subatomic particle. In electrical conductors, the flow of electricity results from the movement of electrons from one atom to the next.To learn more about conductors, refer to: https://brainly.com/question/27533161
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What does AS>0 mean?|
I
Answers
Answer:
Significant Other
Explanation:
that comes to mind when I see that
13. Harry used the energy stored in his muscles to cycle up a hill. What happened to this energy when he reached the top?
A. The energy stored in Harry's musclesbwas destroyed.
B. The energy was returned to Harry's muscles
C. Kinetic energy changed to potential energy.
D. Potential energy changed to kinetic energy.
Answers
Answer:
C. Kinetic energy changed to potential energy.
Explanation:
The kinetic energy is converted to potential energy when he reaches the top of the hill.
As with every system, energy is neither created nor destroyed but transformed from one form to another.
This is from the law of conservation of energy.
Kinetic energy is produced when Harry moves the up the hill. As he reaches the top of the hill and comes to rest, potential energy is formed.
Potential energy is the energy due to the position of a body.
A ball with a mass of 5 kg is accelerating at 5 m/s/s. What is the force acting on the ball?
Answers
F=ma
F=5x5
F=25 N
Whoever could answer this I would make Brainliest
Answers
Answer:
1. the rocks at the bottom of the aquarium
2.the fish and maybe the plants (if you use live plants)
3. fish interact with there no living things like how one would hide in the grass or something like that.
4. decorations (like a cave or fake house, tho the aquarium its self is a home)
5.they would die, and rot.
Explanation:
rocks are nonliving
fish are living things and so are plants
fish can hide in the plants
the fish can "live" in the decorations, but the aquarium itself is its home.
if something reaches the end of its life span it dies.
A spring has a force constant of 40000 N/m.
How far must it be stretched for its potential energy to be 42 J?
Answer in units of m
Answers
Answer:
0.05m
Explanation:
Given parameters:
Force constant of the spring = 40000N/m
Potential energy = 42J
Unknown:
Extension = ?
Solution:
To solve this problem, use the expression below:
E.PE = [tex]\frac{1}{2}[/tex] k e²
k is spring constant
e is the extension
42 = [tex]\frac{1}{2}[/tex] x 40000 x e²
e = 0.05m
The law of universal gravitation offers a mathematical explanation for the attraction between the moon and Earth.
Answers
Answer:
True.
Explanation:
The given statement is true that the law of universal gravitation offers a mathematical explanation for the attraction between the moon and Earth.
According to this law, the forces between two masses can be calculated by the product of their masses and divided by the square of the distance between them. Mathematically, it can be written as :
[tex]F=\dfrac{Gm_1m_2}{r^2}[/tex]
G is universal gravitational constant
Hence, the given statement is true.
how do we change km/h to m/s
Answers
Answer:
36km/h = 10m/s
Explanation:
That's the formula to convert
From m/s to km/h : do multiple by 3,6
Objects in free fall near the surface of the Earth experience acceleration of?
a) 8.9 m/s
b) 9.8 m/s
c) 9.8 m/s/s
d) 8.9 m/s/s
Answers
don’t get confused with (c)- that is expressing 9.8 metres to the second per second which is incorrect.
Plants make ___________ using carbon dioxide, water and energy from the sun.
a Minerals
b Vitamins
c Carbohydrates
dFats
Answers
Answer:
I think it's carbohydrates
Explanation:
The energy from light causes a chemical reaction that breaks down the molecules of carbon dioxide and water and reorganizes them to make the sugar (glucose) and oxygen gas.
A 0.20 kg baseball is traveling at 40 m/s toward the batter. The ball is hit by the bat with a force of 200N, and is
now headed toward the pitcher at 25 m/s. How long was the bat in contact with the ball?
Answers
Answer:
Time, t = 0.015 seconds.
Explanation:
Given the following data;
Mass, m = 0.2kg
Force, F = 200N
Initial velocity, u = 40m/s
Final velocity, v = 25m/s
To find the time;
Ft = m(v - u)
Time, t = m(v - u)/f
Substituting into the equation, we have;
Time, t = 0.2(25 - 40)/200
Time, t = 0.2(-15)/200
Time, t = 3/200
Time, t = 0.015 seconds.
Note: We ignored the negative sign because time can't be negative.
. Calculate the weight of a 7 kg object.
Answers
Answer:
68.6N
Explanation:
Given parameters:
Mass of object = 7kg
Unknown:
Weight = ?
Solution:
The weight is the downward force of gravity on a body;
Weight = mass x acceleration due to gravity
Weight = 7 x 9.8 = 68.6N
A rocket has a mass of 80,000 kg and accelerates at a rate of 35 m/s2. Calculate the force that provides this acceleration,
Answers
Explanation:
Given
Mass(M) = 80,000 kg
Acceleration (a) = 35 m/s²
Force (F) = ?
We know we have the formula
F = m * a
= 80000 * 35
= 2800000
= 2.8 * 10 ^ 6 N
The force is 2.8 * 10 ^ 6 N.
Hope it will help :)❤
If a rocket has a mass of 80,000 kg and accelerates at a rate of 35 m/s2. then the force that provides this acceleration would be 2800000 Newtons.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
The mathematical expression for Newton's second law is as follows,
F = m*a
As given in the problem we have to find the force that provides the acceleration of 35 meters / second², if the rocket has a mass of 80,000 kg,
The force acting on the rocket = 80,000 × 35
= 2800000 Newtons
Thus, the force acting on the rocket would be 2800000 Newtons.
To learn more about Newton's second law here, refer to the link;
brainly.com/question/13447525
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A 3kg ball has an initial velocity of 6m/s. How much energy will be transformed into Gravitational
Energy?
Answers
Since
Ek = Eg
The paths of the alpha particles depend on the forces on them in the metal.
Describe the model of the atom which is used to explain the paths of alpha particles aimed at thin sheets of metal foil.
Answers
Answer:
During the experiment, alpha particles bombarded a thin piece of gold foil. The alpha particles were expected to pass easily through the gold foil. ... The discovery of the nucleus was a result of Rutherford's observation that a small percentage of the positively charged particles bombarding the metal's surface...
Explanation:
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Rutherford's model of atoms describes the atom as a tiny, dense particle which contains a positively charged nucleus with electrons which are negative charged moving in orbitals.
What is Rutherford's model?Rutherford's model of atoms described the atom as a tiny, dense, positively charged core particle which is called a nucleus, in which nearly all the mass of the atom is concentrated, around within the nucleus which the light, negative constituents, called electrons, circulate at some specific distance, much like the planets which are revolving around the Sun.
During the Rutherford's experiment, the alpha particles are bombarded on the thin piece of gold foil. The alpha particles were expected to pass easily through this gold foil. The discovery of the nucleus of atom was a result of the Rutherford's observation in which a small percentage of the positively charged particles that is protons bombarding on the metal's surface.
Learn more about Rutherford's model here:
https://brainly.com/question/11749615
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what are food sorces of iron
Answers
Answer:
liver (but avoid this during pregnancy)
red meat.
beans, such as red kidney beans, edamame beans and chickpeas.
nuts.
dried fruit – such as dried apricots.
fortified breakfast cereals.
soy bean flour.
Explanation:
A force of 540 N is exerted on a 8 kg mass through 11 m. How much work was done?
• 4320 J
• 5940
• 742.5 J
• 47520 J
HELP PLEASE
Answers
Theta is the angle between the force and the distance. Since they are going in the same direction, the angle is 0. Cos 0 is 1, so we can ignore that part.
The rest of the equation is force times distance.
540 * 11 = 5940 J.
Gravitational potential energy is due to....
a. mass and height above the ground
b. the amount of power an object has
c. the speed of an object
d. how far an object is stretched
Answers
Answer:
A
Explanation:
I only think its A because of the gravity part...sorry im not good at explaining
10. If a wave has a frequency of 12 Hz and a wavelength of 3 meters,
what is its wave speed?
Answers
Answer: 36 m/s
Explanation:
Wave speed = Wavelength * Frequency
12 * 3 = 36 m/s
Answer: 36 m/s
Explanation:
help plss .. Two bicyclists are accelerating forward in a straight line, and Biker 1 has less
mass than Biker 2. If the net force on the bikers is the same, which statement
describes their acceleration?
Answers
Explanation:
Remember Newton's Second Law.
[tex]F=ma[/tex]
If the force acting on both bikers is the same, we can look at the relationship between acceleration and mass.
If Biker 1 has a mass of 10kg and Biker 2 has a mass of 20kg, and both are being acted upon by a force of 100 N, let's see what that looks like. [tex]100 = 10*a_1 \rightarrow a_1 = 100/10 = 10[/tex]
[tex]100 = 20 *a_2 \rightarrow a_2 = 100/20 = 5[/tex]
So, given the same force, an object with GREATER mass will have less acceleration.
Which of the boxes on the electromagnetic spectra shown below contains all
the frequencies within the visible range?
Answers
Answer:
C.
Explanation:
C. has the box on the colors, which is the rainbow because it is the visible light we are able to see.
Answer:C
Explanation:
A photovoltaic cell produces electricity when the sun shines. What energy conversion is going here?
Answers
Answer:
light potential energy is converted into electrical potential energy.
Explanation:
A solar heat absorbs the light that creates pairs of electron - holes, these free charges when moving create a current, the light energy stored in the radiation is converted into electrical energy within the n-p junctions.
In summary, light potential energy is converted into electrical potential energy.
9. A 12 v battery is connected to four 5 ohm light bulbs. What is the equivalent
resistance for the bulbs in series? In parallel?
10. What would be the current through each light of problem 9?
For parallel circuit?
For series circuit?
-no bs answers
Answers
12volts
How much is the pressure exerted at a point where a ball- pointed pen of area 1mm 2 is pushed against the paper with a force of 24 N
Answers
Answer:
Please find the attached pdf
Explanation:
A circuit with a 10 V battery and two 3 resistors in series. what is the current through the circuit.
Answers
Answer:
please use the formula to find the current/use ohms law
Explanation:
I=v/r
Amy has a mass of 50 kg, and she is riding a skateboard traveling 10 m/s. What is her momentum?
Answers
=50*10
=500kg m/s