Two learners want to confirm the principle of conservation of momentum for an isolated system. Two trolleys, with identical dimensions, but masses m and 1/2m, with a spring- loaded plunger between them, are placed on a horizontal surface. When the spring is released, it takes trolley X only 0.5 s to reach the barrier, which is 100 mm away. Trolley Y takes the same time to cover 200 mm to the other barrier.
1. Calculate the average speeds of trolleys X and Y respectively.
2 Calculate the total momentum after the release of the spring.
Answers
Based on the principle of conservation of momentum;
average speed of A is 0.2 m/saverage speed of B is 0.4 m/sthe total momentum after the release of the spring is zero.What is the principle of conservation of momentum?The principle of conservation of momentum states that in an isolated system of colliding bodies, momentum is conserved.
This principle can be stated mathematically as:
momentum before collision = momentum after collision.The average speed of each trolley is calculated using the formula:
average speed = total distance/total time takenFor Trolley A:
average speed = 100 mm/0.5 = 200 mm/s
average speed of A = 0.2 m/s
For Trolley B:
distance = 200 mm = 0.2 m
average speed = 0.2 m/0.5 s
average speed of B = 0.4 m/s
Momentum = mass × velocity
Assuming direction of motion of B is positive, direction of A is negative
Momentum of A = - m × 0.2 = -0.2m
Momentum of B = m/2 × 0.4 = 0.2 m
Total momentum = 0.2 m - 0.2 = 0
Therefore, the total momentum before and after the release of the spring is zero.
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Related Questions
Four forces are exerted on a disk of radius R that is free to spin about its center, as shown above. The magnitudes are proportional to the length of the force vectors, where F1 = F4, F2 = F3 , and F1 = 2F2. Which two forces combine to exert zero net torque on the disk? Select two answers.
(A) F1
(B) F2
(C) F3
(D) F4
Answers
The given magnitude of forces of F₁ = F₄, F₂ = F₃, F₁ = 2·F₂, give the
forces that exert zero net torque on the disk as the options;
(B) F₂
(D) F₄
How can the net torque on the disk be calculated?The given parameters are;
F₁ = F₄
F₂ = F₃
F₁ = 2·F₂
Therefore;
F₄ = 2·F₂
In vector form, we have;
[tex]\vec{F_4} = \mathbf{\frac{\sqrt{3} }{2} \cdot F_4 \cdot \hat i - 0.5 \cdot F_4 \hat j}[/tex]
[tex]\vec{F_2} = \mathbf{ -F_2 \, \hat j}[/tex]
Clockwise moment due to F₄, M₁ = [tex]-0.5 \times F_4 \, \hat j \times \dfrac{R}{2}[/tex]
Therefore;
[tex]M_1 =- 0.5 \times 2 \times F_2 \, \hat j \times \dfrac{R}{2} = \mathbf{ -F_2 \, \hat j \times \dfrac{R}{2}}[/tex]
Counterclockwise moment due to F₂ = [tex]-F_2 \, \hat j \times \dfrac{R}{2}[/tex]
Given that the clockwise moment due to F₄ = The counterclockwise moment due to F₂, we have;
Two forces that combine to exert zero net torque on the disk are;
F₂, and F₄
Which are the options; (B) F₂, and (D) F₄
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Now build the complete circuit. Connect a wire to each end of the pair of batteries. Then add the lightbulb and the switch, using additional wires as needed. To disconnect two parts, click where they’re joined, and then click Split Junction. You can also click Reset All to start over. You’ll be successful when you can close the switch (click, hold, and drag it) and the lightbulb glows. Use the drawing tool to sketch the parts of your successful circuit
Answers
Answer: <3
Explanation:
HOPE THIS HELPS
How can a particle that has zero mass (travels at the speed of light) carry energy, and excite cells in our eyeballs?
Answers
Answer:
Quantum theory states that electromagnetic radiation travels in discrete amounts with energy
h ν = E = h c / f
Relative density of gold is 19.3.The density of water is 1000 kg/m2 .What is the density of gold in sl units?
Answers
Answer:
Relative density refers to the ratio of density of substance to the density of reference material.
[tex]relative \: density = \frac{density \: of \: material}{density \: of \: water} \\ \\ density \: of \: gold = {relative \: density} \times density \: of \: water \\ \\ = > 19.3 \times 1000 \: kg \: m {}^{ - 3} \\ \\ = > 19.3 \times 10 {}^{3} kg \: m {}^{ - 3} [/tex]
hope helpful~
A pendulum is released from a high position Because of friction, the pendulum eventually stops swinging Which of the following actions occur as the pendulum stops swinging?
a) Kinetic energy increases
b) Potential energy decreases
c) Kinetic energy remains the same
d) Potential energy remains the same
Answers
Answer:
b) Potential energy decreases
Explanation:
The reason why Potential energy decreases here is because you know that if you bounce a ball without applying any force to it, then it falls, and then comes back up, but does it come all the way up to where it was fallen from? NO! So that's why, each time the ball bounces, the potential energy goes down.
Thanks!
The Earth has ________ for the past 2 million years.
A. gradually warmed slowly
B. frozen then quickly thawed
C. gradually cooled
D. stayed the same temperature
E. cycled between hot and cold
Answers
The Earth has cooled for the past 2 million years.
Newton's First Law is also called the Law of Inertia. Which of the objects below has the most inertia, the white truck or yellow truck? Explain the reason for your choice.
Answers
Answer:
Personally I say the yellow truck but...
Explanation:
It's heavily based on the object's mass...
If you know which object has the most mass than I would choose that one, but personally I think the yellow one has the most mass...
A particle with charge q, mass m, and initial speed v0 in the x direction enters a region where the electric field is uniform in the x direction. How much time does it take for the particle to cross the region of length d
Answers
Answer:
S = 1/2 Vo t + 1/2 a t^2 = d time for particle to travel distance d
F = E q force acting on particle
a = F / m = E q / m
d = Vo t + E q / (2 m) t^2
One would need to solve the quadratic equation shown to find the time t
t^2 + (2 m) / E q * V0 t - (2 m) / E q * d = 0
or t^2 + A V0 t - A d = 0 where A = (2 m) / E q
A body of mass 10 kg is being rotated in a circular path of
diameter 1.0 mm on a frictionless horizontal plane by means of
a string. It performs 10 revolutions in 3.14 s. Calculate the
centripetal force acting on it.
Answers
Answer:
The answer is 2N
Explanation:
Given;mass (m) = 10 kgDiameter (d) = 1 mmTo Find;The centripetal force acting on it.Now,
Radius (r) = Diameter ÷ 2
r = 1/2
r = 0.5 mm = 5 × 10‾⁴
T = 3.14 ÷ 10 = π/10 sec
∴ F = mrω² = mr (2π/T)² = 4π²mr/T²
F = 4 π² × 10 × 5 × 10‾⁴/(π/10)²
F = 4 π² × 10 × 5 × 10‾⁴ × 100/π²
F = 4 × 0.5
F = 2 N
Thus, The centripetal force acting on it is 2 Newton
-TheUnknownScientist 72
Destructive interference in a standing wave produces points with zero amplitude called nodes *
true or false
Answers
Answer
True; Destructive occurs for two interfering waves that are 180 degrees out of phase
dentical forces act for the same length of time on two different objects. The magnitude of the change in momentum of the lighter object is
Answers
Kinetic energy lab report (soda bottle and bean bag) Does anyone have the data part filled out?
Answers
Answer:I added my whole lab report into here let me know if this the what you need
Explanation:
Calculate the voltage difference in a circuit that has a resistance of 24 Ohms if the current is 0.50A. Use the formula I= V/R.
Answers
Answer:
12V
Explanation:
from the formula, I=V/R
V=IR
V=24x0.50
Voltage difference in a circuit = 12V
Why should a strong magnet not be near a credit or debit card
Answers
Answer:
Magnets can tamper with the magnetic strip on credit cards, erasing the information stored there and rendering them useless
Write any Four Characteristics of image, formed by Plane Mirrors .
Answers
Question :-
Write any Four Characteristics of image, formed by Plane Mirrors .Answer :-
The Image formed by Plane Mirrors are Virtual and Erect .The Image formed by Plane Mirrors are laterally Inverted .They are Same Sized as that of the Objects .The Image Distance from the Mirror is Same as the Distance of Object from the Mirror .[tex] \underline {\rule {180pt} {4pt}} [/tex]
A car is moving with a lot of momentum. If it were moving at the same speed but had five times as much mass, its momentum would be
Answers
Answer:
5 times as much
Explanation:
the equation for momentum is p=mv
p(momentum)=m(mass)xv(velocity)
So if the velocity is the same, but the mass is multiplied by 5 the total momentum would be 5 times greater than the previous scenario.
A sphere of 0.047 kg aluminum is placed for sufficient time in a vessel containing boiling water, so that the sphere is at 100°C. It is then immediately transferred to a0.14 kg copper calorimeter containing 0.25 kg water at 20°C. The temperature of water rises and attains a steady state at 23°C. Find specific heat capacity of aluminum.
Answers
We know that,
Heat lost by the sphere = Heat gained by H₂O & Calorimeter
=> m₁ x c₁ x ∆T₁ = m₂ x c₂ x ∆T₂ + c₃ x m₃ x ∆T₂
=> 0.047 kg x c₁ x 77°C = 0.25 kg x 4.18 x 3°C+0.14 x 0.386 x 3°C
=> c₁ = ( 0.25 kg x 4.18 kg^-1 k^-1 x 3°C + 0.14kg x 0.386 kg^-1 k^-1 x 3°C ) / 0.047 kg x 77°C
=> c₁ = 3.30/ 0.047 x 77
=> c₁ = 0.913 KJ kg^-1 k^-1
Hence , the specific heat capacity of aluminum would be 0.913 KJ kg^-1 k^-1
Give five important things any physic’s student ahould know?
Answers
Answer:
students need to take courses in math, such as calculus, linear algebra, and statistics. Computer science classes also are essential, because physicists and astronomers often develop specialized computer programs that are used to gather, analyze, and model data.
Which of the following are likely to be affected by a magnet?
Check all that apply.
A. Credit card
B. A CD
C. An audio cassette tape
D. A wind up alarm clock
Answers
Answer:
B and D
Explanation:
Both a CD and alarm clock have magnetic properties of metal alloys and polymers.
write the type of energy present in pond water and kerosene ?
Answers
Answer:
Potential and Kinetic energy
Explanation:
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A student notices that a basketball seems to act differently depending on whether the game is being played on a court with a wooden floor, on a concrete driveway, or on blacktop in a park. The student hypothesizes that the surface on which a ball is bounced affects the height of the bounce. How can the student design an experiment to test the hypothesis?
A.The student should drop the same ball from three different heights and have someone measure the height of each bounce.
B.The student should drop three different balls from the same height and have someone measure the height of each bounce.
C.The student should drop the same ball from the same height on three different surfaces and have someone measure the height of each bounce.
D. The student should drop three different balls from the same height on three different surfaces and have someone measure the height of each bounce.
Answers
Answer: Experimental design means creating a set of procedures to test a hypothesis. A good experimental design requires a strong understanding of the system you are studying. By first considering the variables and how they are related ( Step 1 ), you can make predictions that are specific and testable
Explanation:
A hypothesis (plural hypotheses) is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained with the available scientific theories. Even though the words "hypothesis" and "theory" are often used interchangeably, a scientific hypothesis is not the same as a scientific theory. A working hypothesis is a provisionally accepted hypothesis proposed for further research, in a process beginning with an educated guess or thought.
A solar eclipse occurs when the Moon moves directly between the Earth and the Sun. When Venus moves directly between the Earth and the Sun, we do not see an eclipse for several reasons including ________________.
Answers
Answer:
it's because the eclipse hides the moon and Venus and the sun
Explanation:
I found it
The moon remains in orbit around earth because of the force of —.
Answers
The moon remains in orbit around earth because of gravitational energy
Data;
MoonGravityGravitational EnergyMoon and other centripetal bodies maintain a state of constant orbit or centripetal acceleration because of gravitational energy.
The gravitational energy acting on the moon keeps the body rotating. This is further elaborated by Einstein's theory of relativity.
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The system is in equilibrium, and the pulleys are weightless and frictionless.
Find the tension T.
The acceleration of gravity is 32 ft/s^2
Note: lb ≡ slug · ft/s^2
Answer in units of lb.
There is an attachment of the system below
Answers
Answer:
F = M a where F is in lbs, M in slugs and a in ft/s^2
Apparently this system is motionless so
T + 15 is the downward force on the mass of 15 lbs
1 slug * 32 ft/s^2 is 32 lbs the weight of the other block
It takes a force of 32 / 2 = 16 lbs on the cable to support this weight
16 lbs = T + 15 lbs
T = 1 lbs
A 12. 0 cm object is 9. 0 cm from a convex mirror that has a focal length of -4. 5 cm. What is the distance of the image from the mirror? –3 cm –4 cm 3 cm 4 cm.
Answers
A mirror equation is an equation that relates object distance and image distance to focal length. The distance of the image from the mirror will be -3 cm.
What is a mirror equation?A mirror equation is an equation that relates object distance and image distance to focal length. It's sometimes referred to as a mirror formula.
[tex]\rm \frac{1}{v} +\frac{1}{u} =\frac{1}{f} \\\\[/tex]
The given data in the problem is;
f is the focal length = -4. 5 cm
u is the object distance=12. 0 cm
v is the image distance =?
[tex]\rm \frac{1}{v} +\frac{1}{12.} =\frac{1}{-4.5} \\\\ \rm \frac{1}{v}= \frac{1}{-3} \\\\ \rm v= -3cm[/tex]
Hence the distance of the image from the mirror will be -3 cm.
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define simple machine with any two examples
Answers
(Hand-held) Pencil sharpener, and an Axe.
A simple machine is a (to its name) simple machine, used to complete a task that is uncomplicated. Such as the first example, a pencil sharpener. It has a small razor, and you turn a pencil inside to shave off unnecessary wood.
- - - - - - - - - - - - - - - - - - - - - -
My second example is a wedge. A hatchet (or axe) is a wedge, it pushes between two sides and increases force, therefore, breaking it apart.
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Good luck! :)
~pinetree
What is the difference between mass and weight?
Answers
Answer:
We often use the world's 'mass'and 'weight' interchangeable,but they mean quite different things.Your mass is the same no matter where you go in the universe;your weight,on the other hand,changes from place to place.
Explanation:
hope it helps
What is the angular momentum of a 0.25 kg mass rotating on the end of a piece of
rope in a circle of radius 0.75m at an angular speed of 12.5 rad/s?
Answers
L = r x p = rmv = mr²ω
L = 0.25 x 0.75² x 12.5 = 1.758
Angular momentum of a 0.25 kg mass rotating on the end of a piece of rope in a circle of radius 0.75 m at an angular speed of 12.5 rad/s is 1.758.
What is momentum?The meaning of MOMENTUM is a property of a moving body that the body has by virtue of its mass and motion and that is equal to the product of the body's mass and velocity. Momentum is a vector quantity.
Angular momentum is momentum in angular motion,
L = r x p = rmv = mr²ω
L = 0.25 x 0.75² x 12.5 = 1.758
Angular momentum of a 0.25 kg mass rotating on the end of a piece of rope in a circle of radius 0.75m at an angular speed of 12.5 rad/s is 1.758.
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Wonder Woman uses 2,000 N to lift a truck 2.3 meters in 5 seconds. How much power did she use?
Answers
Answer:
she used alot
Explanation:
she would need to be very powerful if she coukd do that.. but then again its wonder woman.
(srry just so detail )
but
f=2,000
x=2.3
w=?
2,000x 2.3 =869.57
w=869.57
t=5 s
p=?
p=w/t
869.57/5=173.913
so she used 173.913 w also known as power
The table shows the mechanical energy and velocity of a rock that was thrown four times. The rock has a mass of 2. 4 kg. A 3 column table with 4 rows. The first column is labeled trial with entries 1, 2, 3, 4, 5. The second column is labeled mechanical energy in joules with entries 32, 34, 35, 31. The last column is labeled velocity in meters per second with entries 7. 0, 2. 0, 6. 0, 3. 0. During which trial was the rock the highest above the ground? 1 2 3 4.
Answers
The energy to the position is known as potential energy. The maximum potential energy is in case 2. Hence the maximum height will be in case 2.
What is kinetic energy?The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.
According to the law of conservation of energy, the total energy is defined as the sum of kinetic energy and potential energy.
Mechanical energy = kinetic energy+potential energy
Potential Energy = Mechanical Energy - Kinetic Energy
As a result, if an object has greater potential energy, it will have a higher height.
The formula for the kinetic energy is given by;
The potential energy for the different cases will be;
Case-1;
[tex]\rm KE_1=\frac{1}{2}mv^2 \\\\ \rm KE_1=\frac{1}{2}\times2.4(7)^2 \\\\ \rm KE_1=58.8 J[/tex]
[tex]\rm PE_1 = 32 - 58.8 = -26.8 J[/tex]
Case-2;
[tex]\rm KE_2=\frac{1}{2}mv^2 \\\\ \rm KE_2=\frac{1}{2}\times2.4(2)^2 \\\\ \rm KE_2=4.8 J[/tex]
[tex]\rm PE_2 = 34 - 4.8 = 29.2 J[/tex]
Case-3;
[tex]\rm KE_3=\frac{1}{2}mv^2 \\\\ \rm KE_3=\frac{1}{2}\times2.4(6)^2 \\\\ \rm KE_2=43.2 J[/tex]
[tex]\rm PE = 35 - 43.2 = -8.2 J[/tex]
Case-4;
[tex]\rm KE_3=\frac{1}{2}mv^2 \\\\ \rm KE_3=\frac{1}{2}\times2.4(3)^2 \\\\ \rm KE_2=10.8 J[/tex]
[tex]\rm PE_2 = 31 - 10.8 = 20.2 J[/tex]
The maximum potential energy is in case 2. Hence the maximum height will be in case 2.
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Answer:
B:
the SECOND trial
Explanation: