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.
Thanks for looking into my thread. I find various threads suggest to use Kinetic energy/conservation of momentum to explain car collision.
Moving car generate/carry more energy compared to stopped one.
I find when a car (car1) (moves with 10-15 miles/hr) rear-ends stopped vehicle (car 2), the...
Homework Statement
Two cars collide head on but offset from each others center of gravity. After the impact the two cars are locked together as one body. Due to the location of the collision point, the impact causes the two locked cars to spin clockwise.
Car A- traveling west going 10 mph...
Homework Statement
A curling stone with initial speed vi1 collides head-on with a second, stationary stone of identical mass, m. Calculate the final speeds of the two curling stones.
Homework Equations
See attached picture
The Attempt at a Solution
I solved for vf1 as shown, but my answer...
Homework Statement
Two balls collide in a perfectly elastic collision. Ball 1 has a mass of 3.5kg and is initially traveling at a velocity of 5.4m/s. It collides head-on with stationary ball 2 with mass 4.8kg. Determine the final velocity of ball 2.
Given: m1=3.5kg
vi1=5.4m/s
m2=4.8kg...
Homework Statement
After shooting a 28g arrow with an initial velocity of 92m/s[forward], an archer standing on a frictionless surface travels in the opposite direction at a speed of 0.039m/s. Calculate the combined mass of the archer and the bow.
Given: **Subscript of 1 indicates values for...
I have a problem with understanding the nature of collisions and their outcomes.
From my understanding, I come to think that when a mass collides with another, both of them should always have equal velocities post-collision. For example, when a mass moving at v1, m1, collides with a mass at...
Homework Statement
[pardon my crude drawing]
Say I have a ball that hits the a rod at rest pivoted around hinge A. The ball in the diagram is the solid black, and the rod is the thin line in the diagram and is rotating around the square-shaped hinge at the bottom. I am not an artist but...
Homework Statement
Cart 1 has a mass of 1.5 kg and is moving on a track at 36.5 cm/s [E] toward cart 2. The mass of cart 2 is 5 kg, and it is moving toward cart 1 at 42.8 cm/s [W]. The carts collide. The collision is cushioned by a Hooke's law spring, making it an elastic head-on collision...
Homework Statement
You slide a 2 kg block on a flat icy surface towards a static block of mass M. Before the collision, the 2 kg mass is moving at 3 m/s. The total kinetic energy is not changed by the collision. After the collision, the 2 kg mass is moving at −1 m/s i.e. opposite to its...
Homework Statement
Two ice skaters crash into each other. Before they collide, one of them (50 kg) is skating in a straight line at 5 m/s, the other (40 kg) is skating at 4 m/s in a straight line at 90 degrees to the 50 kg skater’s direction. After the collision, the 50 kg skater is moving at 4...
Hello there,
Id like to estimate how the resistivity due to electron 'collision' with 1st Brillouin zone changes as a function of number of valence electrons in a metal.
Say you start with Na, then add some other material with 2 valence electrons instead of 1, then the fermi wavevector will...
Homework Statement
If a object 1 & 2 collide as a perfectly inelastic collision, would they will both stop. Also If this same situation happened elastic? please explain if this is true or false and draw a free body diagram if possible.
Homework Equations
F=ma
Newton second Law
KE=1/2ma
The...
Homework Statement
a small 0.199 kg block slides down a frictionless surface through height h = 0.608 m and then sticks to a uniform vertical rod of mass M = 0.398 kg and length d = 2.23 m. The rod pivots about point O through angle θ before momentarily stopping. Find θ.
point O is at the end...
For the Texas Department of Public Safety, you are investigating an accident that occurred early on a foggy morning in a remote section of the Texas Panhandle. A 2012 Prius traveling due north collided in a highway intersection with a 2013 Dodge Durango that was traveling due east. After the...
Homework Statement
2 balls, their size is the same but mass is different, they are going towards a collision. I do not know what is the word for it in english but its like this m1= 1,2m2. Speed of the balls are v1=12m/s and v2= 15m/s.Calculate the speed of each ball after absolutely central...
Homework Statement
Homework Equations
conservation of momentum
3. The Attempt at a Solution
initially car_1 has not y momentum so
\begin{equation}
m_1v_1x=(m_1+m_2)v cos(θ)
\end{equation}
and car_2 has no x momentum
\begin{equation}
m_2v_2y=(m_1+m_2)v sin(θ)
\end{equation}
using...
Hey all, first time poster here. I'm pretty confused about how exactly to use conservation of momentum and kinetic energy to work collision problems, specifically perfectly inelastic collisions (you could probably tell it was that kind, since K is conserved).
I'm actually stuck on two different...
Consider a collision between two point particles, with no external forces acting on the system.
Linear and angular momentum of the system are always conserved, while the kinetic energy of the system is conserved only if internal forces acting in the collision are conservative. This last point...
Homework Statement
A spring (k=4200N/m) and box A (mA=120kg) are on a frictionless incline, as shown below . Box A is pressed against the spring such that it is compressed 1.0m, and then released. Box A then hits, and sticks to box B, 1.0m farther up the ramp from the uncompressed position of...
Homework Statement
A body with mass of m kg (A) is sliding horizontally in a frictionless surface at the velocity,V0.
In front of it are two bodies (B and C) , each with a mass of m kg attached with a spring whose force constant is k.
If the collision between A and B is elastic, how to...
Homework Statement
The classic double ball drop question: a ball of mass m is placed directly above another ball of mass M, and assume that m is not negligible. Both balls are dropped simultaneously. Find the mass m such that, upon the second collision (m with M), M has a final velocity of...
Homework Statement
A hockey player with a mass of 30.0-kg is initially moving 2.00-m/s to the right. He catches on the stick a puck initially moving at 35.0-m/s at an angle of 60 degrees. The puck's mass is .18 kg and the player and puck form a single object for a few seconds. (A) Determine the...
Hi all.
Our lecturer gave us an exercise the other day regarding an elastic gravitational collision between a planet and a satellite where the satellite slingshots using the gravitational field of the planet. The question asks to show that ##v_{f} - v_{i} = 2v_{0}## where ##v_{f}## is the final...
Homework Statement
Jack (mass 59.0 kg ) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He collides with Jill (mass 46.0 kg ), who is initially at rest. After the collision, Jack is traveling at 5.00 m/s in a direction 34.0∘ north of east. Ignore friction.
Homework...
Homework Statement
A car braking will decelerate at .8g. If the car's mass is 1200kg, how much horizontal force does each tire exert on the road? What is the coefficient of friction between the tire and the road?
A 2kg steel ball rolling at 4m/s strikes a stationary 5kg steel ball elastically...
hi, I apologize if this question is placed in the wrong area. I was not sure where it belonged. Can someone please help me with the following:
Assuming the ice is very smooth, like that of your standard indoor hockey arena, how much much would an object have to weigh to remain stationary when...
Just a conceptual question :
During a collision of two objects say A and B with the same mass, is the object with a higher velocity before collision never has its velocity increased after the collision, while the object with a lower initial velocity never has its velocity further decreased...
Guys, I'm confused that how momentum is conserved when kinetic energy is lost?...I know this question is asked by many people and i searched for it but I'm not getting the reason. Here i have sent two photos which shows that momentum is not conserved from www.simbucket.com. If I am wrong at any...
A group of elderly, hospital-hating street toughs fire a mortar at a local children's hospital 960m away. The projectile has a muzzle speed of 100m/s and is directed 53.13 degrees above the horizontal. At the same instant, a contingent of concerned physics enthusiasts, knowing full well that...
Homework Statement
A particle of mass 5.0kg travels initially with a velocity of 8.0mˆı and then interacts with a particle of mass 6.0kg which was initially at rest. After the interaction the 5.0kg mass travels at a speed of 4.0m/s along a direction which makes an angle of 53◦ with the x-axis...
Homework Statement
A car hits another car at rest. Debris is found 6.75m from the cars, the two cars stuck together over a distance of 6.75m, there are skid marks a distance of 312m before the car crash, car 1=2946kg, car2=1232kg, coefficent of friction is .72. Find the initial velocity of car...
Homework Statement
I have a question about this. I will post it once I fully understand my problem with this.
Homework Equations
F *t = dp
The Attempt at a Solution
At the beginning i just want to know how a collision happen. So if two object with different velocities collide with each other...
Homework Statement
Homework Equations
Total initial momentum = total final momentum
Momentum = m*v
Kinetic energy = 1/2 * m * v2
The Attempt at a Solution
What I found so far:
m1v1i = (m1+m2)vf
Total kinetic energy = 1/2 * (m1 + m2)vf2 - 1/2 * m1 * v1i2
I am confused on how friction comes...
Homework Statement
The masses C, of magnitude 2m, and B, of magnitude m, move with velocity V and hit a stationary mass A of magnitude m. the collision lasts a very short time and is plastic but the masses don't stick together. the spring with constant k is ideal and the surface is smooth...
Since space is rapidly expanding between galaxies, why are the Milky Way and Andromeda galaxies on a collision course with each other? Do galaxies need to be a certain distance apart for the force of their gravity to be weak enough so that it cannot overcome the expansion of space? Or is it...
Homework Statement
a 5.0 x 10^5kg railroad car moving at 8.0m/s. collides with a stationary railroad car of equal mass. after the collision the two cars lock together and slide forward. What is the final velocity of the wrecked cars?
using conservation of energy
M1 = 5.0 x 10^5 kg
M2 = 5.0 x...
Homework Statement
An 8.00-g bullet is fired horizontally into a 9.00 kg block of wood on an air table and is embedded in it. After the collision, the block and the bulet slide along a frictionless surface together with a speed of 10cm/s. What is the initial speed of the bullet?
M1 = 0.008kg...
Homework Statement
A piece of taffy slams into and sticks to another identical piece of taffy that is at rest. The momentum of the two pieces stuck together after the collision is the same as it was before the collision, but this is not true of the kinetic energy, which is partly turned into...
I constantly hear the term 'bits flying off' in a particle collision'. Isn't this somewhat misleading? Wouldn't it be more accurate to say that, in a collision, a 'fountain' of new particles are created and that our main aim is to use the energy resulting from the collision to create new...
Hi! I am having a little trouble with a question asked by a colleague.
There’s a ball B with a certain mass M, at rest. A small ball A of mass m is moving with speed v toward M.
If m=M, and the collision is perfectly elastic and the two objects perfectly rigid, than we know that A would come...
I am a programmer trying to simulate some 2D balls bouncing about and colliding with each other. I have both the ball's velocity components before the collision and I am trying to solve for them. I went to wikipedia to find a formula to satisfy my needs and ran into this section...
Homework Statement
Ball strikes inclined plane of infinite mass with velocity v vertically. Elastic collisions. Velocity and direction after collision?
One way of solving is take components along and perpendicular to inclined plane and then solve easily.
Is there any way to solve is using...
Homework Statement
"When a high-speed passenger train traveling at 161 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 676 m ahead (Fig.2-29). The locomotive is moving at 29.0 km/h. The engineer of...
Homework Statement
The problem states that an object moving at a momentum of 800 m/s( calculated by mass of 80kg x 10 m/s) collides with another object. Both objects are moving forward at 5 m/s. What is the mass of the second object? While moving the objects hit another object moving at 5 m/s...
Homework Statement
A ball of mass m rolls down a 3.0 m ramp inclined at 30° above the horizontal, rolls along a flat, friction less surface, and collides elastically with another ball of mass 2m, initially at rest. The second mass then moves along the surface and collides with a horizontally...
Homework Statement
Kevin and Jake collide in the air. If Kevin undergoes a 4.2 kg*m/s change in momentum, what is Jacob’s change in velocity if he has a mass of 83.2 kg?
Homework Equations
p=mv
MV+mv=MV'+mv'
The Attempt at a Solution
I tried the simplest way possible...
p=mv
v=p/m
v=4.2/83.2...
Homework Statement
An alpha particle moving at 3.0 x 106 m/s [east] (m2 = 6.64 x 10-27 kg and q2 = +3.2 x 10-19 C) is headed directly towards a proton moving at 5.0 x 106 m/s [west] (m1 = 1.67 x 10-27 kg, q1 = 1.6 x 10-19 C). Find the distance of closest approach, assuming that they start from...
Homework Statement
This is a video of the phenomenon. Start at 5:08 in this video and watch the next two crashes. That first one, where the car hits a wall, straight on, is the most helpful. The phenomenon is that when a car going uphill crashes, it has an upward speed/momentum vector...
Homework Statement
One car of mass 1400 kg is traveling at 45km/h when it collides and becomes entangles with another car mass of mass 1300 kg traveling at 39km/h[E]. What is their velocity after collision
So MA = 1400 kg
VA = 45kh/h
MB = 1300 kg
VB = 39 kh/h [E]
and After Collision:
MAB =...
Homework Statement
A trolley of mass 0.5 kg rolls along a level, frictionless ramp at a velocity of 6.0 m s-1. It collides with a second trolley of mass 1.0 kg which is initially at rest. The first trolley rebounds with a speed of 2.0 m s-1 .
a) Stating clearly any principles involved, find...