In physics, a collision is any event in which two or more bodies exert forces on each other in a relatively short time. Although the most common use of the word collision refers to incidents in which two or more objects collide with great force, the scientific use of the term implies nothing about the magnitude of the force.
Some examples of physical interactions that scientists would consider collisions are the following:
When an insect lands on a plant's leaf, its legs are said to collide with the leaf.
When a cat strides across a lawn, each contact that its paws make with the ground is considered a collision, as well as each brush of its fur against a blade of grass.
When a boxer throws a punch, their fist is said to collide with the opponent's body.
When an astronomical object merges with a black hole, they are considered to collide.Some colloquial uses of the word collision are the following:
A traffic collision involves at least one automobile.
A mid-air collision occurs between airplanes.
A ship collision accurately involves at least two moving maritime vessels hitting each other; the related term, allision, describes when a moving ship strikes a stationary object (often, but not always, another ship).
In physics, collisions can be classified by the change in the total kinetic energy of the system before and after the collision:
If most or all of the total kinetic energy is lost (dissipated as heat, sound, etc. or absorbed by the objects themselves), the collision is said to be inelastic; such collisions involve objects coming to a full stop. An example of such a collision is a car crash, as cars crumple inward when crashing, rather than bouncing off of each other. This is by design, for the safety of the occupants and bystanders should a crash occur - the frame of the car absorbs the energy of the crash instead.
If most of the kinetic energy is conserved (i.e. the objects continue moving afterwards), the collision is said to be elastic. An example of this is a baseball bat hitting a baseball - the kinetic energy of the bat is transferred to the ball, greatly increasing the ball's velocity. The sound of the bat hitting the ball represents the loss of energy.
And if all of the total kinetic energy is conserved (i.e. no energy is released as sound, heat, etc.), the collision is said to be perfectly elastic. Such a system is an idealization and cannot occur in reality, due to the second law of thermodynamics.
Homework Statement
calculate the mass of an unknown nucleus of mass M_X (initially at rest) if it it is hit by an alpha particle of mass m_xand is deflected by 40 degrees, and the alpha particle is deflected by an angle of 70 degrees.
Assume elastic collisions
[/B]Homework Equations...
Homework Statement
Two objects of equal mass traveling toward each other with equal speeds undergo a head on collision. Which one of the following statements concerning their velocities after the collision is necessarily true?
(a) They will exchange velocities. (d) Their...
Hi,
Suppose I perform a basic experiment of an elastic collision between 2 carts. I do not want the carts to touch each other so I adjust a permanent magnet to each cart and give each one a starting velocity. Carts get close to each other, kinetic energy is transformed into "potential magnetic...
1.Problem: An electron with energy ##E## which is much higher than its restmass collides with a much much heavier particle "A" of mass ##m## which is at rest. Find the maximal transfer of four-momentum. (Elastic collision)2. Conservation of four momentum3. Everything in natural units. So I go...
1. An asteroid is 10r away from the earth, and traveling at a speed of 12 km/s. What is the impact speed of the asteroid when it hits the earth?2. Gravitation problem: U = -Gm[E]m / r ...I think3. I've been looking in my book and online and cannot figure it out, please help!
Homework Statement
Cart 1 on ball-bearing wheels is moving at 4m/sec. It rolls down the hill and hits a stationary cart 2. The collision is elastic. The height of the hill is 1.02 m. Mass of Cart 1: 200 grams; Mass of Cart 2: 400 grams: Find the velocity of cart 1 at point B. [/B]
Homework...
Homework Statement
A 100g ball moving to the right at 4.1m/s catches up and collides with a 400g ball that is moving to the right at 1.0m/s .
a)If the collision is perfectly elastic, what is the speed and direction of the 100g ball after the collision?
b)If the collision is perfectly elastic...
Homework Statement
After a lot of searching I can't seem to find a way to solve this. Basically, for a bouncing ball, if I know the dropped height and rebound height in a vacuum. How do I calculate the elasticity between the ball and the floor?
Homework Equations
K = 1/2 mv2
The Attempt at a...
This is a modified problem from the one posted a few days ago. I’ve been unsuccessfully trying to solve it since then, so maybe it’s time to ask for some help.
I’ve changed the quantities :)
1. Homework Statement
The mass of puck 1 is ##0.2\ kg## and that of puck 2 is ##0.25\ kg##. The...
Homework Statement
The first ball collides with ##v_1## collides with the second two as shown in the picture. All balls are identical and the second balls have no speed at the beginning.
Find the transform matrix and find the covariation matrix after the collision if it is ##
\begin{bmatrix}...
So I'm upgrading my Physics Engine's Collision response system (don't worry, this is a pure physics question, no programming involved! Also don't worry about the time of collision, my collision detection system is separate and returns a time of collision for the response system to work with) and...
Problem statement:
Two pucks of radius 0.05 meters collide as shown in attached picture.
The mass of puck 1 is 0.1 kg and that of puck 2 is 0.15 kg. The initial velocities are v1i = 1 m/s and v2i= 0.6 m/s. (1) Assuming no friction between the pucks, only normal forces during collision, in...
Homework Statement
I can't believe it how my brains stopped cooperating today.
We have the first ball with ##m_1 ## and ##v_1## and of course the second one with ##m_2## and velocity ##v_2##. Covariance matrix before the collision is ##M=
\begin{bmatrix}
\sigma _1^2 & 0\\
0& \sigma _2^2...
Problem Statement:
Moe Mentum and Ken Ettik are playing pool. Moe hits the cue ball, sending it towards the 6 ball at 2 m/s. It strikes the stationary 6 ball off-center, moving off at a 60 degree angle from the original direction after a perfectly elastic collision. Both balls have a mass of...
Hi guys I'm completely useless when it comes to physics and need help with working something out regarding a car accident.
I was rear car of a 4 car collision where all cars infront had already crashed.
Now the guy infront of me is saying I shunted him which is a complete lie.
I was traveling...
Homework Statement
Solve for the Velocity of each mass after the collision.
Homework Equations
Pi = Pf
Ki = Kf
The Attempt at a Solution
Okay so I've tried setting up a system of equations to solve for the unknown velocity and angles. The problem is that I can't seem to find either unknown...
Suppose a point mass B (m = 2 Kg) is rotating on a massless string (r = 2m) at v = 3m/s. Then KE = 9 J, p = 6 Kg m/s and L = p * r = 12 Nm (left in the sketch)
Suppose B collides with A (m=2) the bob of a pendulum on a massless rod r = 1m. Is L conserved? It seems that there is no external...
Homework Statement
A block of mass m lying on a rough horizontal surface is given an initial velocity of v_0. After traveling a distance d, it makes a head-on elastic collision with a block of mass 2m. How far does the second block move before coming to rest? (Assume that the coefficient of...
Homework Statement
A Rail car with a mass= 27000kg's moving at 4m/s collides with another rail car with mass 80,000kg that was moving towards the first. After the collision, both cars come to a complete stop, what was the initial speed of the second rail car?
Homework Equations...
Homework Statement
Mass 2 collides with mass 1 as shown in the image, mass 1 is attached to the stick and it is initially stationary. Consider that the stick is massless and can rotate around the point O. The entire system is on a frictionless table.
Which magnitudes are conserved in the system...
I´m working on a physics hand-in and found the relative angle between the two balls after collison(where one is stationary before the collison) to be exactly 90degrees, is this random or is it always so?
It´s worth mentioning that total momentum and kinetic energy is conserved.
The hand in is...
Mentor's note: this was originally posted in a non-homework forum, so it doesn't have the homework template.
------------------------------------Hey guys hoping you guys could help me with this
A object (20g) moving horizontally at 100m/s embeds itself in the middle of a block of some wood...
Hi there, I've been given a statement in which I need to find out where Kinetic Energy goes when a moving lorry breaks to avoid a collision?There are no equations given. Only information needed to complete the question.I have tried looking around the internet to see what the possible answer...
Homework Statement
Mass 1 (2.77 kg) moves with an initial velocity (1i - 1j) and mass 2 (1 kg) starts at rest. After the collision, M2 moves with a velocity of (2i - 3j). What is the final velocity of m1?Homework Equations
Since they don't stick together, KE and linear momentum are conserved...
Homework Statement
If two bodies, each of mass M and radius R, initially r (r>>>R) distant away from each other start approaching each other with negligible speed then what is their speed which they collide??
Homework Equations
The Attempt at a Solution
initial energy,IE = (-G m^2) / r
final...
Homework Statement
Train A travels with the velocity v= 30m/s, suddenly the driver sees another train ahead, Train B which travels with the velocity v=10m/s. Immediately Train A's driver starts the brakes ( a=1m/s²) while Train B still travels with its velocity. The moment A starts the brakes...
Homework Statement
Two spheres of mass M1 and M2 are arranged one above the other as shown. They are separated by a fraction of a mm. They are released from rest and allowed to fall to the ground, a distance h = 5.0 m below. Mass M2 collides elastically with the ground and then elastically...
i'm trying to make a simple programme which emulates the behave of collision between circles and rectangles. It looks like we have a box with rectangles and circles inside with which we are able to interract by clicking on them with mouse and drag across the screen, hit another objects(...
Homework Statement
Two particles are in a perfectly inelastic collision with no external force acting on them. Particle 1 has m1 and v1>0. Particle 2 has mass m2 and v2<0. Find the loss in kinetic energy after the collision. Express your answer in
reduced mass as well as relative velocity...
Homework Statement
Suppose that a certain accelerator can give protons a kinetic energy of 200 GeV. The rest mass of a proton is 0.938 Gev/c^2. Calculate the largest possible rest mass M0 of a particle that could be produced by the impact of one of the high-energy protons on a stationary...
In a pool game, the cue ball, which has an initial speed of 1.3 m/s, makes an elastic collision with the 8-ball, which is initially at rest. After the collision, the 8-ball moves at an angle theta = 33.2o with respect to the original direction of the cue ball, as shown in the figure. Assume the...
Homework Statement
Block 2 with mass 2kg is at rest on a surface an touching the end of relaxed spring with spring constant k=151 N/m . The other end of the spring is attached to a wall. Block 1 with a mass of 1.8kg and traveling with a speed of v=4.5m/s, collides with block 2, and the two...
Homework Statement
Good morning or afternoon. My quantum physics teacher has given me a task: Given a neutron beam of mass 1.27*10^-27 kg and known energy E impacts on a lineal chain of atoms with a known distance between two of them l. A detector intercepts the wave diffracted an angle o.
I...
Homework Statement
Electrons of energy 5.00 GeV are incident upon target protons and a search is made for neutral particles X0 produced in the reaction
e− + p → e− + p + X0
What is the maximum mass of X0 which can be produced? Use any reasonable approximations, but justify your arguments...
A proton is traveling to the right at 3.50×107 m/s. It has a head-on perfectly elastic collision with a carbon atom. The mass of the carbon atom is 12 times the mass of the proton. What is the magnitude of proton speed after the collision? What is the magnitude of carbon atom speed after the...
Hi! I have apparently forgotten way too much college physics, and could really use some help here. I'm trying to calculate the impact force of an instrument (a Schmidt hammer--uses a spring-loaded piston) that produces an impulse against a surface. The instrument registers a rebound value (which...
Lets say i have a rod (length = L) hinged at one end (A).It is initially at rest.Now if an impulse (J) acts on the other end (B),can i conserve the angular momentum about A(the hinge)? that is can i write: JL=Iw?(I=moment of inertia,w=angular velocity)
this is what i saw in the book.
My Doubt...
Homework Statement
Two relativistic particles "L" and "R", each of rest mass ##m_0##, are moving at speed ##v## towards each other (in the frame of an observer). They collide squarely and are stationary afterwards.
(a) From the perspective of one particle, what is the oncoming speed of the...
Homework Statement
Homework Equations
p=mv[/B]The Attempt at a Solution
My thoughts-
Answer is C as KE is not conserved since velocity of ball has decreased.
Option A also seems correct.[/B]
Homework Statement
since the bombarding electron has only 7.0eV ... it's not sufficient for the electron in the ground state to be excited which needs 10.4eV , so no excitation occur. and in my opinion, the bombarding electron should emerge with the same amount of energy ... but the ans given...
Homework Statement
You have a 10kg ball that is going 10m/s. It is about to collide with a much less massive ball that is stationary.
What is the range of final velocities of the small mass?
All Collisions Are Elastic
Given Case 1: The large mass stops after the collision.
Given Case 2: The...
Homework Statement
Is there a way to know how much kinetic energy has lost and transferred into internal energy for each of the members in a partially plastic collision?
I can only know how much kinetic energy has lost in total, i don't know how much of it each member got.
When a car...
Homework Statement
The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies...
1. A particle of mass M decays from rest into two particles. One particle has mass m and the other particle is massless. The momentum of the massless particle is...
2. Ei = Ef, Pi= Pf
3. This is a GRE practice problem. I can solve this problem using the old method as listed in the step 2, but I...
Homework Statement
A railway carriage with a mass m = 2.05×104 kg is initially traveling to the left with a speed Vi = 3.24 m/s. It collides and couples with (get stuck to) two identical railway carriages move to the left with a speed of Ui = 2.36 m/s.
What is the speed of the railway...
Homework Statement
A ball bounces on the floor with elastic collisions like in the drawing.
The collisions take a short time in comparison to the travel between the collisions.
What is the direction of the acceleration at point B?
Why is the magnitude of the acceleration at point B bigger...
Homework Statement
A railway carriage with a mass m = 2.45×104 kg is initially traveling to the left with a speed Vi = 3.33 m/s. It collides and couples with (get stuck to) two identical railway carriages move to the left with a speed of Ui = 1.69 m/s.
1. What is the speed of the...
Homework Statement
The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies...
Say I drop a ball of mass 5kg from a height of 2 meters, assuming no air resistance, it will hit the ground with a velocity of 6.26m/s and collide with the ground, and rebound. From the law of conservation of momentum, 6.26 * 5 = v * 5, where v is the new velocity of the ball. But if the ball...
Homework Statement
A 1-kg standard cart collides with a cart A of unknown inertia. Both carts appear to be rolling with significant wheel friction because their velocities change with time as shown in. What is the mass of cart A?
The graph below should be used to solve for the mass...