Homework Statement
Hello I am trying to predict vector after collision of 2 ball in biliard. I am using angle-free representation formulas from wikipedia : https://wikimedia.org/api/rest_v1/media/math/render/svg/14d5feb68844edae9e31c9cb4a2197ee922e409cx1 and x2 are positions of balls, m1 and m2...
Problem goes: A rubber ball, traveling in a horizontal direction, strikes a vertical wall. It rebounds at right angles to the wall. The graph below illustrates the variation of the ball’s momentum p with time t when the ball is in contact with the wall.
Which of the following statements is...
Homework Statement
Mass m1 = 2kg traveling at v = 3 m/s
Mass m2 = 3kg traveling at v = 2 m/s
After an elastic collision (from opposite directions) what will be the momentum and velocities of each of the bodies ?
Homework Equations
[/B]
Momentum = mass x velocity
##K.E = \frac {1}{2}.m.v^2 ##...
Homework Statement
Homework Equations
Conservation of linear momentum
Conservation of energy
Energy-momentum relationship: ##E^2-(m_0c^2)^2=c^2p^2##
Lorentz transformation of energy: ##p=\gamma(v)(p'+vE'/c^2)##
##\mathbf{p}=\gamma(v)m_0v##, ##E=\gamma(v)m_0c^2##
The Attempt at a Solution
My...
Greetings! This is probably the most simplest of questions but I wanted to ask that which particle carries most of the energy of an electron-proton collision (as in p + e− → n + νe), the neutron or the neutrino? What happens if we use a higher energy proton or electron? For example we use...
Homework Statement
Two certain small objects A and B, each have mass m. A is suspended using a lightweight, inelastic string, and B is placed on a rough horizontal floor in a position where it is in contact with the vertically suspended A. Next, A is raised to height h above its original...
Homework Statement
There is a 4 kg mass that has a speed of 6 m/sec on a horizontal frictionless surface. The mass collides head-on and elastically with an identical 4 kg mass initially at rest.
The final speed of the first 4 kg mass is:
(a) 0 m/s (b) 2 m/s (c) 3 m/s (d) 6 m/s
Homework...
Homework Statement
A car of 800 kg was going towards east with a velocity of 36km/h and an another car of 1600 kg was going towards west with a velocity of 54km/h. After collision, in which direction and with how much velocity will the cars go?
Homework Equations
$m_1u_1+m_2u_2 = (m_1+m_2)v$...
Homework Statement
A particle is thrown upward with speed 10√3 m/sec. It strikes an inclined surface. Collision between the particle and inclined plane is perfectly inelastic. What will be the maximum height attained by the particle from the ground.
2. Relevant information and equations
In...
Hi! Sorry about the thread level. I had no idea which level to choose.
I have a burning question. Can someone help me?
If a car collides with a pedestrian (who walks into the path of the car from the right) while turning right (the wheels are still turned) at low speed (10 to 15 mph) and if the...
Homework Statement
The attached file is all the information on the problem
Homework Equations
.5mv^2 =.5mv1^2 + .5m2^2
p = mv
The Attempt at a Solution
I've tried plugging the known values in the equations and and substituting the various equations together and every time I come up with an...
When cars or trains collide.. does it exceed 10^19 for the total dispersed energy? I know that in particle accelerator you need to focus this much energy in the Planck scale to probe it. So I just want to know what is the equivalent everyday object that has this 10^19 GeV only its not focused...
A cube with mass M and length 2a, move in the velocity v on the friction-less horizontal table, when it closes to the end of the table, it is stopped by the long block(the height can be ignored), ask what is the value of v to topple from the table? ( note: use one side of cube as the rotating...
There is 4 parts to this one question.
A 2.0 Kg block is traveling to the right with a velocity of 3.0 m/s. The block collides with a stationary 1.0 kg block and the blocks bounce apart (elastic collision).
1. Homework Statement
(a). if the velocity of the 1 kg block is +4 m/s after the...
Homework Statement
Homework EquationsThe Attempt at a Solution
How do I calculate part d?
I know that (m2-m1)v0 = m2v2+m1v1
where v0 = root (2gh), v1 and v2 are the new velocity of the masses
(m2+m1)v02 = m2v22 + m1v12
I also know that v2-v1=2v0
but how do I separate the KE of mass 2?
Homework Statement
1. Two skateboarders start from rest on opposite sides of a ramp like the one in the image, roll down and collide elastically on the level part of the ramp. The masses of the skateboarders are m1 = 48 kg and m2 = 55 kg and they both start from the height h = 4.70m. Ignoring...
Homework Statement
A particle A of mass m and initial velocity v collides with a particle B of mass m 2 which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths λA to λB after the collision is
Homework Equations
u initial velocity
v final velocity
The...
Homework Statement
A 0.170-kg baseball pitched horizontally at 36.0 m/s strikes a bat and is popped straight up to a height of 36.0 m. If the contact time between bat and ball is 2.0 ms, calculate the magnitude of the average force between the ball and bat during contact.
##m_b=0.17kg##...
What object in the universe (neutron star, supernova, black holes, pulsars) can cause the most powerful collision and what energy is the plasma produced? I'd like to know how many GeV of plasma it can make as the minimum.
Homework Statement
Find the 2 unknown variables.[/B]Homework Equations
Am I doing this right? Can someone help me find the solution?[/B]
The Attempt at a Solution
To compute for the velocity of the target/arrow combination immediately after the collision:
M_bV_{bi}=M_bV_{bf}+M_wV_{wf}...
Homework Statement
Ball A is dropped from rest from a building of height H exactly as ball B is thrown up vertically from the ground. When they collide A has twice the speed of B. If the collision occurs at height h, what is h/H?
Homework Equations
(I would type them out put I can't format...
Homework Statement
A mass 1.3 kg is initially at rest at the top of a 1.8 meter high ramp. It slides down the frictionless ramp and collides elastically with an unknown mass which is initially at rest. After colliding with the unknown mass, the 1.3 kg mass recoils and achieves a maximum height...
Homework Statement
Two balls with mass m and 4m collide at the location x=y=0 and stick. Their initial velocities just before the collision can be represented as v1=(i+j) v and v2=(j-i)v' respectively. Their final velocity vf makes an angle θ with the +x axis. Find v and v' in terms of vf and...
Homework Statement
The questions showed in the pictures ask me whether the collisions in the drawings could be elastic or inelastic, I am not given any mass, the angles are a little vague but I think B and C are supposed to be π/2 and π respectively. For velocity, I am just given the direction...
Morning!
My question is this: If we consider a situation of mechanical collision, in the real world we shall observe certain loss of energy into heat or sound. Can we find mathematical equations to measure the amount of sound or heat produced using only mechanical variables, such as mass...
Homework Statement
Car bumpers are able to reduce the force of an impact by allowing the force to the spread over a greater duration of time. I am wondering how this affects the impulse between collisions because while increasing the time it is decreasing the force, both of which are...
fHomework Statement
Question b:
Homework Equations
E2=c2p2+m2c4
The Attempt at a Solution
We have c2pinitial2=E02-m2c4, and Ef2=c2p2+m2c4 for each outgoing proton. Combining those equations we get c2p2=Ef2-E02+c2pinitial2. I don't know where to go from here.
Homework Statement
Both object A and B have mass M and are moving.
An object with mass of m and moving with velocity u collide with the object B elastically. (m < M)
Find the following after m collide with B
1) Velocity of m after bouncing back
2) Velocity of B
Then m collide with A and bounce...
I was thinking about Newton's Cradle the other day, and I wondered how those collisions actually look like in detail. Which then got me thinking that my understanding of even a basic elastic collision of two macroscopic objects is weak to say the least.
Simplified, the two objects could be two...
Two spheres of different masses are dropped to ground.They are in contact as one above the other and are of masses, let’s say m and 2m.They are dropped with velocity v - My question is if we can conserve momentum and if we can why?And how to find the final velocity of upper ball after collision...
The collision of a billiard ball against a wall is considered elastic. Intuitively i can accept it. But analytically i don't understand it.
Why does the wall not take any relevant amount of energy from the ball? Is it connected to the change in temperature of the wall ?
What scenarios can we...
Hi all!
I was having a conversation with a (rather young) friend about the following imaginary situation- suppose you are in a helicopter, at rest relative to the ground. So you are basically seeing a 'top' view. Say you have a a wall fixed to the ground, and it is kept in the middle of a moving...
The rod is attached and can frictionlessly slide on the purple track. The questioner specified that the collision is elastic. The first obvious error in this problem is that the direction and magnitude of the final velocity of the ball is impossible. If the ball carries off all the energy it...
Homework Statement
Homework Equations
Total Ke initial - Total Ke final = lost KE
P= m1v1 + m2v2
The Attempt at a Solution
Initial P : sqrt((0.08*50)^2 + (0.06+50)^2)
Final P : (m1+m2)vf = 140vf
Initial P = Final P and solve for vf , vf = 0.0357
KE initially : .5(0.080)(50^2) +...
Homework Statement
Homework Equations
change in momentum = m1v1 = m1v1+m2v2
center of mass = m1x + m2x / (total mass)
The Attempt at a Solution
m1v1= m2v2 + m3v3
m1 = 2
v1 = 4
m2 = m1 divided by 2
m3 = m3 divided by 2[/B]
2*4 = 1*12 + 1v3
v3 = -4
v3= -4? in the x directioncenter of mass...
Homework Statement
A 1000 kg car approaches an intersection traveling north at 20.0 m/s . A 1200 kg approaches this same intersection traveling east at 22.0 m/s. The two car collides and lock together. Ignoring any external forces , what is the velocity of the car immediately after the...
Hi, as you can see at the end of the picture/attached file collision integral is approximated to a discrete sum. Could you express how this approximation is derived?
Probably a very simple question:
Does the coefficient of restitution depend on the collision being performed?
Consider two masses ##m_1## and ##m_2##. They are placed on a frictionless horizontal table and ##m_1## is given an initial velocity, collides 1-dimensionally with ##m_2##, and the...
Homework Statement
Two particles having mass m separated by a distance d is uniform magnetic field as shown in the figure . If v=qBd/m, at what instant does collision occur. The coulomb force between the particles is switched off.
Homework Equations
T=2πm/qB
The Attempt at a Solution
For the...
Homework Statement
These are two conceptual questions we were given recently. It's strange how mathematically I regularly do much harder problems but these caught me out a bit
Q1.
If a one snooker ball hits another ball moving at constant speed, why does the second ball move? Surely due to...
Homework Statement
[/B]
A mass ##m## travels in a straight line with velocity ##v_0## perpendicular to a uniform stick of mass ##m## and length ##l##, which is initially at rest.. The distance from the center of mass of the stick to the path of the traveling mass is ##h##. Now the traveling...
Homework Statement
Prove that in the elastic collision of two objects of identical mass, with one being a target initially at rest, the angle between their final velocity vectors is always 90 degrees.
Homework Equations
m1v1+m2v2 = m1v1'+m2v2'
1/2m1v1^2 +1/2m2v2^2 = 1/2m1v1'^2 + 1/2m2v2'^2...
Homework Statement
Homework Equations
Conservation of linear momentum
Conservation of angular momentum
##\frac{-v_{relative after collision}} {v_{relative before collision}}=e## where e is coefficient of restitution
The Attempt at a Solution
Components of velocity given as...
Homework Statement
In my reference frame, I see two carts collide. Both cart A and Cart B have a mass of 2 kg. Cart A has initial velocity v= 3 m/s i-hat + 2 m/s j-hat, cart B has initial velocity v= 3 m/s I-hat + 4 m/s j-hat. 12 J are released in the collision.
In previous parts of this...
Homework Statement
Suppose a heavy particle (mass m1) has an elastic head-on collision with a very light particle of mass m2 initially at rest. Show that if m1>>m2, the velocity of the projectile (m1) is practically unchanged, whereas the target particle (m2) acquires a velocity v2' = 2v1...
Homework Statement
I am currently solving a problem and I am not sure if it is correct.
There are two particles A and B. A has a constant velocity with |\vec{v}| = 3 and starts from y = 30
B has constant acceleration with |\vec{a}| = 0,4
The goal is to find the angle between the...
Consider the following extreme cases for a completely inelastic collision. In each case, determine the approximate ratio KEf/KEi.
a) A moving train collides with a stationary car.
b) A moving car collides with a stationary train.
I do not understand this question, I'm not given masses or...
Homework Statement
A billiard ball moves at a speed of 4.00m/s and collides elastically with an identical stationary ball. As a result, the stationary ball flies away at a speed of 1.69m/s, as shown in Figure A2.12. Determine:
the final speed and direction of the incoming ball after the...
Homework Statement
'A small smooth sphere moves on a horizontal table and strikes an identical sphere lying at rest on the table at a distance d from a vertical wall, the impact being along the line of centres and perpendicular to the wall. Find the distance from the wall of the next impact...