Changing frames doesn't change the amount of internal energy created (it only changes the mechanical energy we see), so having the objects stick together results in the largest possible creation of internal energy.

If we are told that a given collision is elastic (or at least can be approximated as such), then that gives us an additional condition that we can use to solve the problem. in each case, the diagram will show the experimental result, which we will then show mathematically using the combination of momentum and kinetic energy conservation.

Intuitively we know we would rather be in the heavier vehicle, but why?

Well, we would want to experience as little force as possible (force is what breaks bones).

This of course does not mean that all of the kinetic energy is lost (the objects do continue moving at the end in most such collisions), only that they don't bounce off each other.

From the perspective of the center of mass frame, we can see that such a collision maximizes the amount of internal energy that the collision can create: In this frame, the objects stop entirely after the collision, so all of the mechanical energy becomes internal.

Clearly we want the bowling ball to have more mass than a pin, so that it can carry through to the pins behind the front pin(s).

If we consider collisions in two dimensions (which we will do later), we will find that the angular deflection of the ball when it doesn't strike the pin head-on will be less when the ball is heavier, which is one reason heavier bowling balls are more effective than lighter ones.

As a second example of this, suppose we are passengers in one of two vehicles involved in a head-on collision.

Which vehicle would we rather be in, the lighter one or the heavier one?

## Comments Solving Elastic Collision Problems

## Inelastic Collision Formula -

Inelastic Collision Formula Questions 1 A man shoots a paintball at an old can on a fencepost. The paintball pellet has a mass of 0.200 g, and the can has a mass of 15.0 g. The paintball hits the can at a velocity of 90.0 m/s. If the full mass of the paintball sticks to the can and knocks it off the post, what is the final velocity of the.…

## Physics - Collisions - Problems with Solutions and Tutorials - Alpha Solver

Please login to access Solver Physics - Collisions - Problems with Solutions and Tutorials collisions A 2.72 kg ball travels at 9.81 m/s, a 3.14 kg ball travels in the opposite direction at 8.31 m/s.…

## Elastic and inelastic collision problem solving? 10 points? Yahoo.

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## Conservation of Energy and Momentum - UCLA

M1v1 + m2v2 = m1 + m2 v’ and solving for v’ is simple algebra. However, if the same problem is said to be a perfectly elastic collision, the masses will be moving at different velocities after the collision and will involve solving two equations in two unknowns. Although this is not impossible, it will involve a little messy algebra.…

## Elastic Collisions - Kents Hill Physics

When we solve problems in elastic collisions, we always start by saying that momentum before the collision is the same as momentum after the collision. Consider two particles, m 1 and m 2, with initial speeds v 1 and v 2. After the collision, both particles will still have the same masses, but there will be new velocities, v 1 ' and v 2 '. We.…

## Solving elastic 2-dimensional collision problems where the resultant.

The initial speed of the lighter ball is 12 m s1. The collision was head-on, with both balls moving away along the same line as the incident ball. What is the speed of the heavier ball after the collision? In the question above, suppose that the collision was not head-on and that the lighter ball was deflected through 90º.…

## Solving elastic collision problems - imagestudio.md

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## Physics Elastic Collision in 2D

Before trying to tackle an elastic collision in 2D it helps to first understand the physics and math involved in calculating a 1D collision. The best way I can think of explaining a 2D collision is by comparing it to a 1D collision.…