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.
Here's the situation:
A small block of wood of inertia mb is released from rest a distance h above the ground, directly above your head. You decide to shoot it with your pellet gun, which fires a pellet of inertia mp. After the block has fallen a distance d, the pellet hits it and becomes...
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The problem statement is: A helium atom traveling at a speed of 240 m/s hits an oxygen atom at rest. If the helium atom rebounds elastically, from the oxygen atom at an angle of 90° with respect to the original direction of motion, what are the final velocities of both...
Homework Statement
A hockey puck of mass 0.16kg has initial velocity of 2.0m/s[E] and collides with another puck that is initially at rest, has mass of 0.17kg. Once they collide the first puck travels 1.5m/s[N 31 E]. Find final velocity of second puck.
Homework EquationsThe Attempt at a...
Homework Statement
Two 2.5 kg bodies, A and B, collide. The velocities before the collision are ##\vec{v}_A = \left( 50 \hat{i} + 50 \hat{j} \right)~m/s## and ##\vec{v}_B = \left( 38 \hat{i} + 2.3 \hat{j} \right)~m/s##. After the collision, ##\vec{v}'_A = \left( 10 \hat{i} + 9.4 \hat{j}...
Homework Statement
A steel ball of mass 0.890 kg is fastened to a cord that is 50.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 2.50 kg steel block initially at rest on a...
Homework Statement
A football player (90 kg) moving east collides with another football player (80 kg) moving north. When both players collide, a helmet (2 kg) is ejected south at a velocity of 5 m/s. If both players fall to the ground and slide a distance of 2 m North-East with a friction...
I'm having a bit of trouble conceptualizing this. I've looked all over the Internet, and I've been seeing that in completely inelastic collisions the reason that kinetic energy is not conserved is because energy goes into deformation, sound, propelling shrapnel, and especially heat (among other...
I'm trying to write this Python program that simulates a completely inelastic collision between two objects. The program seems to work for the most part, but I'm completely lost on the "heat released" part at the end. I have no idea if I'm calculating this right, or if I'm completely wrong. Can...
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Why are the Center of Momentum velocities of masses after a 2D elastic collision anti-parallel? (as in the following diagram)
Homework Equations
CM_Velocity = (∑m_i*v_i)/(∑m_i)
The Attempt at a Solution
This is not actually a problem I have to do. I am just looking for a...
Good evening! I'm having trouble completing an assignment related to inelastic collisions and momentum.
Homework Statement
Here is the statement:
You are in great shape on this hot July morning. You are working as an intern for the Montreal Police (SPVM) Collision Investigation unit. You...
The question refers to the Feynman lectures on physics Vol I chapter 39. He discusses collisions between gas molecules. Here is a relevant extract:
They are equally likely to go in all directions, but how do we say that? There is of course no likelihood that they will go in any specific...
Homework Statement
As shown in the figure below, object A (mass: m) is at rest on a smooth, horizontal surface, and a lightweight spring that compress / stretches in the horizontal direction is attached to it. Object B, which has the same mass m, approaches A from the left side with speed v and...
Homework Statement
Two titanium balls approaches each other with same speed and then collides elastically. After the colision, one of the ball which mass is 300 g becomes motionless.
Determine the mass of another ball
Homework Equations
Conservation of momentum and energy
The Attempt at a...
What happens if I shoot a fermion at another identical fermion at rest? For example, do the fermions stick together, or do they bounce?
Let's ignore gravity, electro-magnetism, weak force and strong force.
Edit: We are considering the Pauli exclusion principle.
Homework Statement
Two cars collide at an intersection. Car A, with mass 2000 kg, is going from west to east, while car B, with mass 1500 kg, is going from north to south at 15 m/s. As a result of this collision, the two cars become enmeshed and move as one afterward. In your role as an expert...
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...
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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 graph below:
What is the inertia of cart A?
Homework Equations
i am unsure how to even solve for...
Homework Statement
You are driving your 1000-kg car at a velocity of(19 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...
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Particle A has a mass of 1kg and velocity 2x10^8m/s to the right and collides with a stationary particle B that has a mass of 4kg. after the collision, particle A moves to the left with a velocity(v) and particle B moves to the right with a velocity of 1x10^7 m/s. calcuate...
From the hyperphysics site http://hyperphysics.phy-astr.gsu.edu/hbase/elacol2.html#c1 on classical elastic collisions I see that if an incoming particle of mass ##m_1## with velocity ##v_1## collides into a stationary target particle of mass ##m_2## then the velocity of the target particle after...
Homework Statement
Board ##A## is placed on board ##B## as shown. Both boards slide, without moving w.r.t each other, along a frictionless horizontal surface at a speed of ##6 \text{m/s}##. Board ##B## hits a resulting board ##C##, "head-on". After the collision, board ##B## and ##C## stick...
Homework Statement
Problem 5: Collision course
A huge tractor and a Tesla full of school children come driving along a winding mountain road, in opposite directions. The tractor has a speed of 40.0km/h and the car zooms along with 80.0 km/h. The Tesla suddenly comes around a corner, sees the...
I am currently working on the backstory to a story I'm writing as a means of world-building. However, I'm not quite as physics-literate as everyone else, so rather than winging it and coming off like an idiot, I came here.
http://sta.sh/0126svntmin
Exhibit A. The red marks the range of the...
How do I derive the energy transfer equation in an elastic collision of two bodies of masses m and M respectively,using the energy and momentum conservation relations in the laboratory frame?
$$\frac{1}{2} m_1 v_0^2 = \frac 1 2 m_1 v^2 + \frac 1 2 m_2 V^2$$
$$m_1 v \cos(\phi)=m_1 v_0 -m_2 V...
A tractor and a Tesla drives in opposite directions. The tractor has a speed of 40.0km/h and the car has a speed of 80.0 km/h. The Tesla suddenly sees the tractor, and they both immediately start braking, both with constant accelerations of 5.00 m/s2 (opposite to their directions of motion)...
Homework Statement
Two uniform lead spheres each have mass 5000kg and radius 47cm. They are released from rest with their centres 1m apart and move under their mutual gravitational attraction. Show that they will collide in less than 425s.
Homework Equations
By Gauss' Law, force on a sphere...
Homework Statement
A 3.0 kg cart moving to the right with a speed of 1.0 m/s has a head-on collision with a 5.0 kg cart that is initially moving to the left with a speed of 2.0 m/s. After the collision, the 3.0 kg cart is moving to the left with a speed of 1.0 m/s. What is the final velocity of...
Hi guys. There is a question that confusing me for a long time. If an elastic collision occur, do I need to consider the positive and negative sign?? According to my teacher, an object moves in the opposite direction we need to consider the sign. Is it works in this situation?
Hello, I've got a problem and I have no idea how to start. I'll be happy for any hint. Thanks
Homework Statement
Two beads each of mass m are at the top (Z) of a frictionless hoop of mass M and radius R which lies in the vertical plane. The hoop is supported by a frictionless vertical support...
In an inelastic collision is the change in kinetic energy equal to the difference of final and initial momentum if one of the objects is initially at rest? For example:
m1v = (m1+m2)Vf -----> 0 = (m1+m2)Vf - m1v1
1/2(m1+m2)Vf^2 - 1/2m1v^2 = (m1+m2)Vf - m1v1
Or totally wrong? Thanks!
If a Helium ion He+ collides with a diamond wafer surface, an insulator, does the Helium ion, at 25 deg C,
will the ion lose it's charge by gaining an electron from the insulative surface or does the ion have an elastic collision with no net energy loss or gain?
Hi there,
A friend of mine is creating a physics engine in java (mostly as a challenge I believe).
Today he asked me a question about the results of collisions between objects. For example, imagine that these 2 objects collide:
The results of such a collusion would be something like this...
Homework Statement
A 2D elastic collision:
Two pucks (masses m1 = 0.5 kg and m2 = 0.3 kg) collide on a frictionless air-hockey table. Puck 1 has an initial velocity of 4 m/s in the positive x direction and a final velocity of 2 m/s in an unknown direction, θ. Puck 2 is initially at rest. Find...
How would you go about calculating the sound power and sound pressure given the pressure (as in collisions [force/area]) of the collision, kinetic energy in the collision, velocities of both objects, densities and masses. Is this possible? Is the pressure of the collision equal to the sound...
I think this is a basic question, at least I would hope so.
If two identical motorcycles are going at the same speed but one has a lighter individual. If each individually collides with a stationary object and the driver is ejected. Who will go further and why?
[Moderator note: Misplaced homework moved from General Physics, so no template shown]
For the part on finding the total time the block spend moving, the answer is ##\frac{v_0}{\mu g}## (attached below).
I get a different answer if I use the impulse-momentum theorem:
The total change in...
Homework Statement
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A cylinder with mass 3kg slides on ice with its base surface at 5m/s and collides with an identical but stationary cylinder. The collision is elastic. After the collision, the center-masses of the cylinders move at angles 45 and 30 degrees from the starting direction...
Homework Statement
A block A of mass m traveling with speed v collides head-on with a stationary body B of mass 2m. The two bodies stick together. Calculate the impulse exerted by body B on body A during the collision.
Homework Equations
## J = p_{final} - p_{initial} ##
## p_{initial} =...
A 6.0kg metal ball moving at 4.0m/s hits a 6.0kg clay ball at rest and sticks to it. The two move at 2.0m/s.
a. calculate the kinetic energy of the metal ball before it hits the clay ball.
b. calculate the kinetic energy of the metal ball after it hits the clay ball.
c. calculate the kinetic...
Homework Statement
Consider a collision: If mass 1 has initial velocity 1i-1j of and mass 2 is initially at rest. After collision mass one moves with a velocity of 2i-3j and mass 2 moves with velocity of -1.5i+3j. What's m1/m2?
Homework Equations
m1/m2-=(v2f-v2i)/(v1i-v2f)
The Attempt at a...
Homework Statement
A photon of frequency ν is reflected without change of frequency from a mirror, with an angle of incidence θ. Calculate the momentum transferred to the mirror.
Homework Equations
E= hν
Conservation of four-momentum
The Attempt at a Solution
If the mirror is in the x-y...
Homework Statement
Why is there more heat and sound energy produced with a larger collision?
Homework EquationsThe Attempt at a Solution
Honestly no clue. I would really appreciate any help! Any videos would also help!
Is there a threshold of maximum kinetic energy lost when kinetic energy is transferred between two objects through collision?
I just cannot find any information on this, any help would be VERY much appreciated.
I am working on a physics engine, and I have a question about the collision normal. There are a lot of different ways people say to calculate this, perpendicular to the collision angle, perpendicular to the edge of body 'B', etc. I was wondering if it would be okay to assume the collision...
Homework Statement
The problem is pretty simple, however I don't understand which value to use after using quad formula to solve. See below.
V1(initial) = 2.5 m/s
V2(Initial) = -5.9 m/s
A pool ball moving with a speed of 2.5 m/s makes an elastic head-on collision with an identical ball...
This is the problem I am looking to solve: given two objects of different mass, find the angle of deflection after an elastic collision for each object.
For both objects we know:
m : Mass in Kilograms
θi : Initial Angle in Degrees
si : Initial Speed in Units per Second
sf : Final Speed in...
Once, someone had asked two interesting (though absolutely hypothetical) questions:
1) What should happen during the collision of two BHs, one consisting of matter (BH+) and the other consisting of antimatter (BH-)? Should they form a larger BH or should they be annihilated?
My personal...
I am working on a simple space game, and I am having trouble figuring out how to do collisions correctly; things bounce in the wrong direction or just get stuck together. Here are the things that are given:
Direction of objects A + B in degrees
Speed of objects A + B in meters per second
Mass...
I'm in the process of writing a story and the first few thousand words take place near the head-on collision between a ten mile wide black hole and a really big star. I describe the star as big enough to swallow the sun and barely burp.
I'd like the events to be as close to accurate as...
Homework Statement
A block with mass m which is on a slippery floor is attached to a spring with spring constant k.
Another block which mass is also m approach and then hit the first block with velocity v as shown in the figure.
After the collision, both blocks stick together and together...