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
See picture
Homework Equations
p = p1 +p2
p = mv
The Attempt at a Solution
See picture, using equations for the velocity and using 90-tan-1(2) for the angle
Assume that we have two equal masses that collide horizontally, where one is initially at rest. From the conservation of linear momentum, we have
##P_0 = P##
##mv_{10} = mv_{1} + mv_{2}##
##v_{10} = v_{1} + v_{2}##
Assuming we have an initial velocity, it would seem as though the final velocity...
Imagine you have an object of, say, 5kg moving in the positive x direction at 2m/s. So it has 10kgm/s of momentum. Now imagine an elastic collision from the y direction that gives the object another 10m/s in the positive y direction. Therefore its momentum doubles. Now we know that the...
Hello!
I would like to ask for your help with understanding a few things connected to the following problem:
1. Homework Statement
There is an (infinitly) long thread, on which small beads can move without friction. The beads with mass m are lined up on the thread with a constant distance d...
Homework Statement
Block 1 collides with a stationary block 2, block 1 bounces back going in the opposite direction. I assume by this type of picture it means that block 2 also is going to the right because it's not saying it's at rest any further.
A) Rank the horizontal forces in both of the...
To simplify my question I would like to use a random example (although, the issue holds regardless of the numbers you pick). Suppose two objects collide (head-on) in one dimension. The initial parameters are as follows (units are irrelevant):
m1=1;m2=2;u1=3;u2=-4;
Also, suppose that exactly...
At the LHC, particles are accelerated at near light speed to produce heavier particles in the collision E=mc2. Are the resulting particles in the collision produce the same fundamental atomic particles (electron, neutron, proton).
What are the the chances of producing the same elementary...
Homework Statement
If block A slides with a velocity into block B which is at rest, and after this collision block B ends up with a velocity and block A is stationary after. Block B has a mass of 5m.
Would this type of collision be an elastic collision or inelastic? How do you know?
What...
Homework Statement
a uranium atom traveling at speed 4 * m/s collides elastically with astationary hydrogen molcule. head on. what is the approximate finalspeed of the hydrogen molecule?Homework Equations
The answer is about 8*10^4 m/s
But, i tried many times and failed.
The Attempt at a...
Homework Statement
A drunken driver crashes his car into a parked car that has its brakes set. The two cars move off together (perfectly inelastic collision), with the locked wheels of the parked car leaving skid marks 8.0 m in length.
If the mass of the moving car is 2290kg and the mass of...
Homework Statement
Prove that inelastic collisions have the most KE loss of any type of collision (i.e. partially inelastic and elastic are the others)[/B]Homework Equations
m1v1+ m2v2= (m1+m2)Vf
The Attempt at a Solution
I have solved for Vf in that Vf=(m1v1+m2v2)/(m1+m2), but I am totally...
Homework Statement
Prove that a perfectly inelastic collision loses more kinetic energy than a partially inelastic collision. Given: $$m_1, m_2, v_{1i}, v_{2i}, v_{1f}, v_{2f}$$
Homework Equations
$$KE = \frac{1}{2}mv^2$$
The Attempt at a Solution
From conservation of momentum...
Homework Statement
In a glancing collision between two identical steel spheres, which of the following statements are correct? (Assume this collision is perfectly elastic. Select all that apply.)
1)The velocities of the spheres after the collision in the direction perpendicular to the incoming...
Wouldn't the explanation that fits fundamental laws (e.g. Conservation of E) while making the least asumptions be an ongoing bang-crunch-bang...scenario? Why couldn't expansion be eventually reigned in by forces, dark matter and the like - ultimately leading to contraction?
Why shouldn't...
I saw somewhere a thread about a cow falling into a black hole. I don’t know why a cow, perhaps the OP was thinking about the Milky Way. With the cow example it is not clear to me what we are supposed to see when an object falls towards the event horizon. If time slows to infinity, does the...
Hi,
I like to ponder basic physics puzzles to pass time in boring meetings on metro etc...but I have one that I don't understand and I am obsessing over it (to detriment of working out etc.) it should be easy but I don't understand.
Problem: Imagine you have two blocks (Mass of Block 1 is...
Homework Statement
Speedy Sue, driving at 30m/s, enters a one way tunnel. She observes a slo-moving van 155m ahead traveling at 5m/s. Sue applies her brake and accelerates at 2m/s. Will there be a collision? If yes, determine how far into the tunnel and at what time. If no, determine the...
Homework Statement
2 cars with velocities 10 m/s and 20 m/s are traveling in opposite directions, having uniform retardation of 2m/s^2 and 1m/s^2 respectively. Find minimum separation between them such that they don't collide.
Homework Equations
$$v^2=u^2 + 2as$$
$$V_{12}=v_{1}-v_{2}$$
The...
1. In the video game Angry Birds, a bird collides with an initially vertical log. Why does the log only fall to the left or right?2. None, it's a non-science course.3. I don't understand the question. Where else would it fall? It's a 2D game. Everything gravity pulls down falls either to the...
Homework Statement
A start to solving this question would be much appreciated.
Question: An asteroid from the Kuiper belt (approximately 30 AU from the Sun) is knocked out of its circular orbit and begins to fall straight inwards towards the Sun. We want to know how long it will take to get...
Question: The coefficient of restitution for ball colliding with steel is 0.95. If ball is dropped from height h sub o above steel plate, to what height will the ball rebound?
Please help me with this one, Is there a formula for this? all I know is e equals velocity of the first object...
Dear friends!
If there are two particles of unequal masses in a system on which there are no external forces.When let free they collide under the influence of gravitation.
Should they always collide at CM.
If the system were under an external force of uniform gravitational field will the...
Homework Statement
Good morning-afternoon. I have been tasked with solving the next exercice; but I am unable to spot the error. Please can anyone point me in the right direction?A)Calculate the thresold energy of a photon to disintegrate in an electron and a positron in the presence of an...
Homework Statement
Consider an inelastic collision between two blocks on a horizontal plane. Block M1 is moving with velocity Vo and collides with block M2 which is at rest. During the collision a fraction Q of the original kinetic energy is lost. It is observed that M1 is deflected by an angle...
Homework Statement
During the head on collision of a 1500kg car moving 20 m/s and a 2400 kg truck moving 12.5 m/s does the car move farther than, a shorter distance than, the same distance as the truck, or is this indeterminate with the given information.
Homework Equations...
Homework Statement
Car A, having a mass of 1.30 x 10+3kg is traveling at 60.0 km/h due east when it collides with car B, having a mass of mass 1.70 x 10+3kg traveling at 40.0 km/h due west. If the collision is totally inelastic, find the final velocity of car B.
.Homework Equations
I'm using...
Homework Statement
Write the invariant s = (P1+P2)2 as a function of masses amd energies of the process
1+2 → 3+4
in the center of momentum frame and on the lab frame, in which b is at rest. Interpret the result.
Homework EquationsThe Attempt at a Solution
For the CoM frame I have:
s =...
Homework Statement
Two solid spheres hung by thin threads from a horizontal support (Figure 1) are initially in contact with each other. Sphere 1 has inertia m1 = 0.040 kg , and sphere 2 has inertia m2 = 0.10 kg. When pulled to the left and released, sphere 1 collides elastically with sphere 2...
Q) two identical smooth balls are projected from points O and A on the horizontal ground with the same speed of projection the angle of projection in each case is 30 The distance between O and A is 100m . The balls collide in mid air And return to their respective points of projection if...
Homework Statement
Block m1 has mass 10kg and 10m/s
Block m2 has mass 5kg and 0m/s
Energy loss is 0%Homework Equations
Conservation of momentum
Conservation of energy
Quadratic Equation
The Attempt at a Solution
(mv)1i + (mv)2i = (mv)1f + (mv)2f
10(10) + 5(0) = 10(v)1f + 5(v)2f
v_{2f} =...
Homework Statement
A small bullet is fired into a large piece of wood. After the bullet penetrates the wood, the assembly moves as one unit along a low-friction track in the direction of travel of the bullet.
A. After the bullet is stuck in the piece of wood, is the momentum of the wood (not...
Homework Statement
You are driving your 1000-kg car at a velocity of(25 m/s )ι^ when a 9.0-g bug splatters on your windshield. Before the collision, the bug was traveling at a velocity of (-1.5 m/s )ι^.
What is the change in velocity of the car due to its encounter with the bug?
Homework...
Hi,
I googled 2d elastic collisions to see if I could find a problem where two objects are approaching each other from different directions before collision and then moving away from each other at different directions after collision, but I noticed that all the problems I've found have 1 of two...
Homework Statement
Three identical balls (of equal masses) are connected by light inextensible strings and kept on a smooth horizontal surface. The middle ball B is given a velocity ##v_0## at ##t=0##. Find the velocity of ball A when A collides with C.
Homework Equations
Impulse ##J=\Delta...
Homework Statement
Two objects with equal masses undergo an elastic collision in 2 dimensions. Object 1 has an initial velocity u1 and object 2 is initially at rest. After the collision, object 1 is observed to have a velocity equal to 3/5 of it's initial velocity. What is the velocity of...
Homework Statement
In a crash test, a truck with mass 2000 kg traveling at 23 m/s smashes head-on into a concrete wall without rebounding. The front end crumples so much that the truck is 0.67 m shorter than before.
Homework Equations
About how long does the collision last? (That is, how long...
Homework Statement
I need to write an equation for the at rest at a stoplight. Each car bumps into the one in front of it until the first car in line gets bumped.
Homework Equations
I found these equations for wave speed:
V=√(T/(m/L)), where T is tension, m is mass, L is length
and of...
Homework Statement
Is the momentum going to be the same before and after the collision?
(a car collides with a plastic thing) see pic
Homework Equations
I had this on a lab and I connected the machine to my computer. Then I calculated the momentum and it turned out to not remain the same...
Hello all, I've seen the videos many times before, where two people run at each other with giant inflatable balls and one of them will go flying while the other will hold their ground. I always wondered what is responsible for one person being propelled into the air while the other person feels...
Homework Statement
Car 1 (500g) collides with car 2 (500g). The initial velocity of car 2 is 0. The cars stuck together after the collision.
I have to come to a conclusion about the results that i got.
Homework Equations
Kinetic energy before: 0,233
Kinetic energy after: 0,125
Delta...
Homework Statement
[/B]
My class had a lab where we had to push a car toy and then let it bounce back. The on the computer we got a diagram on the impulse and then another diagram with position on y axel and time on the y axel. Then we had to make a chart on the impulse and the momentum before...
Homework Statement
A small circular block of mass M traveling with a speed v on a frictionless table collides and sticks to the end of a thin rod of with length D and mass M. The picture shows a top down view of the block and rod on the frictionless table. What is the rod's angular velocity...
A particle of mass 2kg moving with speed 6m/s collides ellastically with another particle of mass 4kg traveling in same direction with a speed of 2m/s. Find max deflection of 2kg particle?
Homework Statement
A 2.9 ton weight falling through a distance of 6.5 ft drives a 0.5 ton pile 1.5 in. into the ground
A) Assuming that the weight-pile collision is completely inelastic, find the average force of resistance exerted by ground
B) Assuming that the resistive force in (A) remains...
Homework Statement
A block of mass m is attached to a spring with a force constant k, as in the above diagram. Initially, the spring is compressed a distance x from the equilibrium and the block is held at rest. Another block, of mass 2m, is placed a distance x/2 from the equilibrium as...
Homework Statement
A block of mass m is attached to a spring with a force constant k, as in the above diagram. Initially, the spring is compressed a distance x from the equilibrium and the block is held at rest. Another block, of mass 2m, is placed a distance x/2 from the equilibrium as...
Homework Statement : [/B]I asked a question on this topic before, but I want to make sure I know the material well. So, I looked up another question similar to it (and a little more complex) to check my understanding.
Here is the practice problem: A board with mass M, when placed into a coil...
How do collisions occur between different particles when the field excitements that make them are not the same? Also how do you collide when the field are the same? Wouldn't the values of the field just increase until the particles pass through each other? (Like a constructive wave). What I mean...
Homework Statement
During a game of billiards, a white cue ball traveling at speed v strikes a green ball that was initially at rest. The green ball's speed after the collision is twice the speed of the white ball after the collision. The billiard balls have equal mass.
What is the angle...