Suppose the two carts have the same mass m. In the initial state, these two carts are moving toward each other with the same initial speed, vi, along a frictionless track (implying no net external forces acting on the two carts). These carts collide and the result is some final state. The three parts of this question are concerned with three different final states. A. Assume that the carts hit each other and stop (both carts are not moving). Draw a momentum chart for this situation: make a separate row for each cart. B) Assume that the carts bounce off each other so that the final state of the system has each cart moving oppositely to its initial motion but with the same speed. Draw a momentum chart for this situation. C) As in (B), assume that the carts bounce off each other with equal speeds and in opposite directions, but now assume that the final speeds are smaller than the initial speeds. Draw a momentum chart. D) For each case does the total momentum of the two cars change? How do the momentum charts tell you this? E) Is the total kinetic energy constant for all three cases? How do you know?
Answers
Answer:
in all three cases the total moment is zero
cases A and B the kinetic energy is conserved.
In case C the velocity decreases so the kinetic energy decreases
Explanation:
This is a momentum conservation exercise
p = mv
In order for the moment to be preserved, we must define a system formed by the two cars, so that the forces during coke have been internal.
Before crash
car 1 p₀₁ = m v₀
car 2 p₀₂ = - mv₀
pose us several situations, we analyze each one
A) After the crash the cars stop
[tex]p_{f}[/tex] = 0
p₀₁ m v₀
p₀₂ -m v₀
p_{f} 0
B) After the collision, each vehicle reverses its direction
p₀₁ m v₀
p₀₂ -m v₀
p_{f1} -m v₀
p_{f2} m v₀
C) In this case some of the kinetic energy is lost which is converted into internal energy, for example, deformation, heat, friction.
Consequently the speed of the cars is
v < v₀
p₀₁ m v₀
p₀₂ - m v₀
p_{f1} -m v
p_{f2} m v
D) in cases A and B the momentum is maintained, but in case C the total momentum is maintained, even when the speed of the cars decreases, this is pf_total = 0
In all cases the total impulse is zero
p₀ = p₀₁ + p₀₂ = m v₀ - mv₀
p₀_total = 0
in all three cases the total moment is zero
E) The total kinetic energy is the sum of the kinetic energy of each car
K_total = K₀₁ + K₀₂
K_total = ½ m v₀² + ½ m (-v₀)²
K_total = m v₀²
we see that because it is squared, the sign of the velocity does not matter, therefore in cases A and B the kinetic energy is conserved.
In case C the velocity decreases so the kinetic energy decreases
Kf_total < K₀_total
the missing energy is transformed into internal energy during sackcloth.
In the attachment we can see a vector diagram of the momentum in each case
Related Questions
Which method is the typical first step when scientists communicate their scientific results? placing the results on an Internet site to maximize readership distributing the results in press releases to make them well established submitting the results to a scientific journal for a peer review declaring the results in a TV interview for public feedback
Answers
Answer:
Option C (submitting the results to a scientific journal for a peer review) is the correct choice.
Explanation:
If a researcher or a scientist decides to transmit his conclusions depends on a variety of considerations. At either the conclusion of the day, the scientist should concentrate on the final use of an individual's findings before settling on how to transmit it, either through science papers, announcements at professional journals, or personally with the public.Scientists often prefer to submit their articles to professional conferences rather than just going via scientific publications.The other solutions offered are not relevant to the situation in question. But the latter is the best answer.
Answer:
it is letter c
Explanation:
Copper wire is a good electrical
(
Answers
Answer:
yes also good for pennies
Explanation:
_________
Given a 45 45 90 prism with index of 1.5, immersed in air. The hypotenuse acts as the reflecting face by TIR. A ray of light enters horizontal (perpendicular to one of the non- hypotenuse faces) hitting the hypotenuse at 45º and is reflected. If the original ray is now the center of a converging bundle of rays, converging toward the original intersection point on the hypotenuse, what full convergence angle (in air) is allowed, if TIR at the hypotenuse is to be preserved for the whole bundle of rays?
Answers
Answer:
83.6°
Explanation:
For the ray to be totally internally reflected, at the boundary, the angle of refraction is 90. Using the law of refraction where
n₁sinθ₁ = n₂sinθ₂ where n₁ = refractive index of prism = 1.5, θ₁ = critical angle in prism, n₂ = refractive index of air = 1 and θ₂ = refractive angle = 90°.
So, substituting these values into the equation,
n₁sinθ₁ = n₂sinθ₂
1.5 × sinθ₁ = 1 × sin90
1.5 × sinθ₁ = 1
sinθ₁ = 1/1.5
sinθ₁ = 0.6667
θ₁ = sin*(0.6667)
θ₁ = 41.8°
So, for total internal reflection, an incidence angle of 41.8° is required. So, a full convergence angle of 2 × 41.8° = 83.6° is required for the whole bundle of rays.
Electrons are important to electric current because they are able to
Answers
In a study of the effect of lighting on work productivity, the workers were told
that the lights would be changed on Monday, and researchers would measure
their response. The fact that the workers produced more than ever might not
be due to the lighting, but to the:
A. placebo effect
B. Hawthorne effect.
C. hypothesis theory,
D. informed consent theory.
Answers
Answer:
B. Hawthorne effect.
Explanation:
APEX
Answer:
b
Explanation:
Apex as always :)
Which of the following is a physical property? 1.flammability 2.acidity 3.color 4.rusting
Answers
Answer:
Color is a physical property, the rest are chemical properties.
Ryan places 0.150 kg of boiling water in a thermos bottle. How many kgs of ice at –12.0 °C must Ryan add to the thermos so that the equilibrium temperature of the water is 75?a. 0.0436 kgb. 0.0713 kgc. 0.0233 kgd. 0.0265 kge. 0.625 kg
Answers
Answer:
The value is [tex] m_i = 0.0234 \ kg [/tex]
Explanation:
Generally from the calorimetry principle we have that
[tex]Heat \ loss\ by\ ice = heat\ gained\ by\ water\[/tex]
So here heat gained water is mathematically represented as i.e
[tex]Q_w = m_w * c_w * (T_w - T )[/tex]
substituting 0.150 kg for [tex]m_w [/tex] , 4200 J/kg.°C for [tex]c_w [/tex] , 100°C for [tex]T_w [/tex] and 75°C for T
We have
[tex]Q_w = 0.150 * 4200 * (100 - 75 )[/tex]
[tex]Q_w =15750 \ J [/tex]
The Heat loss by the ice is mathematically represented as
[tex]Q_i = Q_1 + Q_2 + Q_3[/tex]
Here [tex]Q_1[/tex] is the energy to move the ice to its melting point which is evaluated as
[tex]Q_1 = m_i * c_i * ( T_o -T_i)[/tex]
Here [tex]m_i [/tex] is the mass of ice
[tex]c_i [/tex] is the specific heat of ice with value [tex]2.05 * 10^3 J/kg.°C[/tex]
[tex]T_o [/tex] temperature of ice at melting point with value 0°C
[tex]T_i [/tex] is the temperature of ice with value -12°C
[tex]Q_2[/tex] is the energy to move the ice from its its melting point to liquid which is evaluated as
[tex]Q_2 = m_i * L[/tex]
Here L is the Latent heat of melting of ice with value [tex]334 * 10^3 J/kg [/tex]
[tex]Q_3[/tex] is the energy to move the ice from liquid to the equilibrium temperature which is evaluated as
[tex]Q_1 = m_i * c_w * ( T -T_o)[/tex]
So
[tex]Q_i = m_i [ c_i * ( T_o -T_i) + L + c_w * ( T -T_o) ] [/tex]
=> [tex]Q_i = m_i [ 2.05 * 10^3 * ( 0 -(-12)) + 334 * 10^3 + 4200 * ( 75 - 0) ] [/tex]
From
[tex]Heat \ loss\ by\ ice = heat\ gained\ by\ water\[/tex]
We have that
[tex] m_i * 673600 =15750 [/tex]
=> [tex] m_i = \frac{15750}{673600} [/tex]
=> [tex] m_i = 0.0234 \ kg [/tex]
The amount of ice at –12.0 °C must Ryan add to the thermos so that the equilibrium temperature of the water is 75 - 0.0233 kg
The calorimetry principle we have thatheat is given by water = heat is received by ice
=>
Given:
mass of boiling water [tex]m_w = 0.150 kg[/tex]
temperature of ice [tex]T_i = - 12^0C[/tex]
Known:
specific heat of water [tex]c_w = 4.2 \times 10^3 J/kg-^0C[/tex] the Initial temperature of boiling water [tex]T_w = 100^0C[/tex]mass of ice = [tex]m_i[/tex]specific heat of ice [tex]c_i = 2.05 \times 10^3 J/kg-^0C[/tex] Latent heat of melting of ice [tex]L = 334 \times 10^3 J/kg[/tex] Melting point of ice [tex]T = 0^0C[/tex] Equilibrium temperature T = 75 CSolution:placing value in the formula:
=>
=>
= 0.0233 kg
Thus, the amount of ice at –12.0 °C must Ryan add to the thermos so that the equilibrium temperature of the water is 75 - 0.0233 kg
Learn more:
https://brainly.com/question/14398692
The gravitational pull of the sun on Earth keeps Earth orbiting around the sun. Which statement is correct about the force that Earth exerts on the sun?
Answers
Explanation:
The gravitational force exerted by the sun on the earth keeps the earth moving or orbiting around the sun in its orbit. This force is same with force with which the earth pulls the sun or exerts on the sun.
But the sun does not orbit around the earth because of this force since the sun is more massive then earth but the earth is less massive and it is accelerated by this massive force of the sun and moves around the sun in its orbit.
Answer:
Earth pulls the sun towards itself with a force equal to the ratio of the mass of the sun to the mass of Earth
Need Help with this physics question, just a written response
Answers
Answer:
Explanation:
According to Newton's third law, every action has an equal and opposite reaction
so it tells us that the force exerted by the earth on the spacecraft is equal to the force exerted by the spacecraft on the earth. But we do not see the earth moving towards the spacecraft because the inertia of the spacecraft is very less than the inertia of the earth.
Two forces P and Q act on an object of mass 9.00 kg with Q being the larger of the two forces. When both forces are directed to the left, the magnitude of the acceleration of the object is 1.20 m/s2. However, when the force P is directed to the left and the force Q is directed to the right, the object has an acceleration of 0.600 m/s2 to the right. Find the magnitudes of the two forces P and Q in newtons.
Answers
Answer:
P = 2.7 N
Q = 8.1 N
Explanation:
Q > P
Both the forces are acting towards the left
Net force = Q + P
Applying newton's 2nd law
net force = mass x acceleration
Q + P = 9 x 1.2 = 10.8 ----------------- ( 1 )
In the second case Q is acting towards the left and P acts towards the right
so they act in opposite direction
Hence net force = Q - P
Applying newton's 2nd law
net force = mass x acceleration
Q - P = 9 x .6 = 5.4 -------------------- ( 2 )
Adding ( 1 ) and ( 2 )
2 Q = 16.2
Q = 8.1 N
From ( 1 )
8.1 + P = 10.8 N .
P = 2.7 N
Two aluminum soda cans are charged and repel each other, hanging motionless at an angle. Which of the forces on the left can has the greatest magnitude? T FE they are all the same impossible to tell mg Changed: Your submitted answer was incorrect. Your current answer has not been submitted.
Answers
Answer:
the tension is the greatest force the system
Explanation:
For this exercise we use Newton's second law, in the equilibrium condition, this means that the acceleration is zero a = 0
X-axis (horizontal)
FE - Tₓ = 0
Fe = Tₓ
Y axis (vertical)
[tex]T_{y}[/tex] - W = 0
T_{y} = W
let's use trigonometry for the stress components
sin θ = Tₓ / T
Tₓ = T sin θ
cos θ = T_{y} / T
T_{y} = T cos θ
we substitute
FE = T sin θ
W = T cos θ
Since the sine and cosine function have values between 0 and 1, the voltage must be greater than the electrical force and greater than the weight of the body.
Therefore the tension is the greatest force the system
Point charges of 16.7 nC and 47.3 nC are placed 0.500 m apart. What is the electric field halfway between them? Indicate direction by a positive or a negative value. Keep in mind that a positive vector is one directed to the right and a negative vector is one directed to the left. Your answer should be a positive or a negative number with two decimal places, do not include the unit. Hint: 1 nC = 10-9 C
Answers
Answer:
-4320
Explanation:
Using the formula for electric field between two points
E = kq/r²
The electric field at a midpoint, say x, is
E(x) = [(k * 16.7*10^-9)/0.5²] - [(k * 47.3*10^-9)/0.25²]
E(x) = [k * (16.7*10^-9 - 47.3*10^-9)/0.25²]
E(x) = [(k * -30.6*10^-9)/0.0625]
E(x) = [(9*10^-9 * -30.6*10^-9)/0.0625]
E(x) = -270/0.0625
E(x) = -4320
Therefore, we can conclude that the electric field, halfway in between them is -4320
A wind turbine with a rotor diameter of 40 m produces 90 kW of electrical power when the wind speed is 8 m/s. The density of air impinging on the turbine is 1.2 kg/m3. What fraction of the kinetic energy of the wind impinging on the turbine is converted to electrical energy
Answers
Answer:
0.233
Explanation:
Given that
Diameter of rotor, d = 40 m
Power of rotor, P = 90 kW
Speed of the wind, v = 8 m/s
Density of air, p = 1.2 kg/m³
It is a known fact that
KE = ½mv², where mass flow rate, m
m = p.A.v, where Area, A
A = πd²/4
A = (3.142 * 40²)/4
A = 3.142 * 1600/4
A = 3.142 * 400
A = 1256.8 m², substitute for A in the mass flow rate equation
m = p.A.v
m = 1.2 * 1256.8 * 8
m = 12065.28, substitute for m in the KE equation
KE = ½mv²
KE = ½ * 12065.28 * 8²
KE = 12065.28 * 32
KE = 386088.96 W or
KE = 386.1 kW
Fraction of kinetic energy converted to electric energy is
Fraction = Electric Power / Total KE
Fraction = 90 / 386.1
Fraction = 0.233
What example represents a healthy alternative to curb nicotine cravings?
O candy bars
O potato chips
O sugar-free gum
o chewing tobacco
Answers
Answer:
C.sugar-free gum
Explanation:
An air filter can remove dust particles from air but will reach capacity (saturation) at 50.0 mg. Of air containing 225 µg dust particles per m3 air is passed through the filter at 400 ft3 /min and air leaving the filter has 15.0 µg dust/m3 air, how much time, in days, is required for the filter to reach saturation
Answers
Answer:
Time to Reach Saturation = 0.0146 day
Explanation:
In order to solve this problem, we first need to calculate the dust filtered by the filter per cubic meter of air:
Filtered Dust per m³ = Dust Particles Entering per m³ - Dust Particles Leaving per m³
Filtered Dust per m³ = 225 μg/m³ - 15 μg/m³
Filtered Dust per m³ = 210 μg/m³ = 210 x 10⁻³ mg/m³
Now, we find volume flow rate of air through filter:
Volume Flow Rate of Air = (400 ft³/min)(0.3048 m/1 ft)³
Volume Flow Rate of Air = 11.33 m³/min
Now, we calculate rate of dust filtered:
Rate of Dust Filtered = (Filtered Dust per m³)(Volume Flow Rate of Dust)
Rate of Dust Filtered = (210 x 10⁻³ mg/m³)(11.33 m³/min)
Rate of Dust Filtered = 2.38 mg/min
Now, for the time required to reach saturation:
Time to Reach Saturation = (Saturation Capacity)/(Rate of Dust Filtered)
Time to Reach Saturation = (50 mg)/(2.38 mg/min)
Time to Reach Saturation = (21.02 min)(1 day/24 h)(1 h/60 min)
Time to Reach Saturation = 0.0146 day
In a house, a circuit often includes multiple electrical outlets which are parallelconnected to a single voltage source. Each of these circuits also contains a 15-A circuit breaker. Design a parallel-connected circuit which shows three electrical outlets connected to a voltage source with a circuit breaker. What is the advantage of having outlets parallel-connected, and why is a circuit breaker connected in series with the voltage source
Answers
Answer:
In parallel circuits, if one element has a problem, it can be eliminated and the rest of the elements continue to work.
Explanation:
There are two ways to connect electrical circuits, in series and in parallel.
Series circuits have the problem that when one element is damaged, the entire circuit is interrupted and runs out of power.
In parallel circuits, if one element has a problem, it can be eliminated and the rest of the elements continue to work.
In Breaker it is connected in series so that when some maintenance is needed, all the energy can be interrupted simultaneously and if some equipment tries to consume a lot of energy, the circuit prevents this action by interrupting the energy of the entire circuit
A bicyclist, traveling with a constant speed, covers 61.Om in 7.80s.
Determine all unknowns.
S =
7.82
m/s
d =
61
m
t =
Answers
Answer:
The velocity is 7.82 m/sExplanation:
In this problem, we are going to solve for the velocity since what we are given as parameters are:
1. Distance covered s= 61m
2. time taken to cover the distance t= 7.8 secs
we know that the expression for velocity is given as
velocity= distance/time
We then substitute the given data into the formula to solve for velocity.
velocity= 61/7.8
velocity= 7.82 m/s
The velocity is 7.82 m/sWhat does Rockstrom mean by the need to "bend the curves"?
Answers
Answer: Rockstrom meant that it's going to be a challenging decade and that people will need to work hard and also bend the curve by thinking around the curve.
Explanation:
Some years ago, Johan Rockström, who was the executive director of Stockholm Environment Institute, and a professor at Stockholm University, was the head of an international team that was assembled in defining planetary boundaries.
The that was gathered to speak regarding issues that pertained to the Earth ane how it can be protected from being infiltrated ad protecting it from failing. During the conversation, Rockstrom said that it's going to be a challenging decade and that people will need to work hard and also bend the curve by thinking around the curve.
Which of these is an example of acceleration? A a bicyclist turning around a corner B a car traveling south with its cruise control set C a bus traveling north at 25m/s D a helicopter waiting to take off
Answers
The answer is A.
Acceleration means when you go faster in speed. Since the bicyclist is turning, he has to slow down but when he finishes turning, he is going to pedal harder and gain more speed. This is called Acceleration.
Best of Luck!
Answer:
a
Explanation:
What was the velocity of a dog that ran 50 meters in 15 seconds?
Answers
Answer:
5m/s
Explanation:
there are 3,600 seconds per hour so 5•3600 18,000 hours and 18 km/h
Answer:
velocity = 3.33 m/sec
Explanation:
velocity = distance / time
where
distance = 50 meters i
time = 15 seconds
plugin values into the formula
velocity = 50 m
15 sec
velocity = 3.33 m/sec
1. A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its
speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its
average acceleration?
Answers
Answer:
6 m/s²
Explanation:
Average acceleration = change in velocity / change in time
a = Δv / Δt
a = (22 m/s − 4 m/s) / 3 s
a = 6 m/s²
Answer:tryna get points don't mind me
Explanation:
Samus is exploring the planet Zebes in the star system Metroid Prime (where the laws of physics are the same as on Earth and in our universe) in a ship moving at constant velocity. She turns on her headlamps as she encounters some strange fog. Ridley, the villain lying in wait, is at rest with respect to Samus. The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on
Answers
Answer:
c. the speed of light in a vaccum
Explanation:
The complete question is...
Samus is exploring the planet Zebes in the star system Metroid Prime (where the laws of physics are the same as on Earth and in our universe) in a ship moving at constant velocity. She turns on her headlamps as she encounters some strange fog. Ridley, the villain lying in wait, is at rest with respect to Samus. The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on
a. the speed of light in the fog
b. the speed of light of Samus's ship
c. the speed of light in a vaccum
d. the speed of Samus with respect to the ether
e. the total addition of speeds of Samus's ship, the planet Zebes, and the system Metroid Prime.
According to relativity,
1. The laws of physics are the same for all observers in any inertial frame of reference relative to one another.
2. The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the light source.
This means that The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on the speed of light in a vacuum.
How is pressure related to the area
Answers
The more the pressure, the lesser the area, and vice-versa.
g A very early, simple satellite consisted of an inflated spherical aluminum balloon 38 m in diameter and of mass 22 kg. Suppose a meteor having a mass of 21 kg passes within 8.0 m of the surface of the satellite. What is the magnitude of the gravitational force on the meteor from the satellite at the closest approach?
Answers
Answer:
6.37*10^-13 N
Explanation:
Given that
We r = 38/2 = 14 m
m1 = 22kg
m2 = 21 kg
so we can say that distance between center of the satellite and meteor,
d = r + h
= 14 + 8
= 22m
So the gravitational force on the meteor, is
F = G x m1 x m2/d²
= 6.67*10^-11 x 21 *22/22²
= 6.37*10^-13 N
The
reflex causes a
newborn to turn toward the source of any
touching that occurs around his mouth.
Answers
Answer:
rooting reflex
Explanation:
prettysure
A person is wandering in woods and records his movements as a sequence of displacements: d1 is 351 m, 35.0° north of east; d2 is 252m, 55.0° west of north; d3 is 178 m, 35.0° south of west; and d4 is 253 m, 15.0° north of west. Find his displacement going back to his starting point straight.
Answers
Answer:
18.64
Explanation:
You are riding in a car that is moving at 50 m/s north.
You pull a gun out while driving and fire a bullet north at 100 m/s. If the ground is the frame of refernce, then the bullet is traveling at
m/s relative to the ground
Answers
Answer:
the bullet is traveling at 150 m/s relative to the ground
Explanation:
The two velocities are pointing in the same direction (both pointing North) therefore, they should add.
Then, from the ground frame of reference the bullet is travelling at: 50 m/s + 100 m/s = 150 m/s
A cylindrical tank of methanol has a mass of 60 kg and a volume of 75 L. Determine the methanol’s weight, den-sity, and specific gravity. Take the gravitational acceleration to be 9.81 m/s2. Also, estimate how much force is needed to accelerate this tank linearly at 0.25 m/s2.
Answers
Answer:
Weight = 588.6 N
Density = 800 kg/m³
Specific Gravity = 0.8
Force = 147.15
Explanation:
W = mg
W = 60 * 9.81
W = 588.6 N
Volume from L to m³ would be
75 L = 75 * 1/1000
75 L = 0.075 m³
Recall, density = mass/volume, so then, density of methanol is.
Density = 60/0.075
Density = 800 kg/m³
Specific gravity, SG is equal to
SG = density of methanol/density of water
SG = 800/1000
SG = 0.8
the force needed to accelerate the tank, F = ma
F = 588.6 * 0.25
F = 147.15 N
Therefore, the needed variables are
Weight = 588.6 N
Density = 800 kg/m³
Specific Gravity = 0.8
Force = 147.15
The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. Consider an oil drop with a weight of 2.9 x 10-14N, if the drop has a single excess electron, find the magnitude (in N/C) of the electric field needed to balance its weight. Your should round your answer to an integer, indicate only the number, do not include the unit.
Answers
Answer:
[tex]E=1.81\times 10^5\ N/C[/tex]
Explanation:
In Millikan oil drop experiment, oil drops were suspended against the gravitational force by a vertical electric field such that its weight is balanced by the electron force i.e.
W = qE,
W is weight, W = mg
q is charge,
E is electric field
⇒ [tex]2.9\times 10^{-14}\ N=qE[/tex]
or
[tex]E=\dfrac{2.9\times 10^{-14}\ N}{1.6\times 10^{-19}\ C}\\\\E=181250\ N/C\\\\\text{or}\\\\E=1.81\times 10^5\ N/C[/tex]
So, the magnitude of the electric field is [tex]1.81\times 10^5\ N/C[/tex].
Unlike velocity, speed is scalar, which means it is described by
Answers
Answer:
Magnitude
Explanation:
Scalar quantitys have no direction only a size aka magnitude
