| To change the default values for m and v, press Reset before
entering your values for mass and velocity. The velocities |
| can be either positive or negative. For instructional purposes, you
can verify the velocities or determine that Δp = 0 or |
| ΔKE = 0 for the collision. |
| |
| A collision in one dimension occurs when two objects traveling in the
same straight line collide and after the collision they |
| remain collinear. If the system (the two bodies in question) is isolated
then the vector sum of the external forces is equal |
| to zero. |
| |
| For the system described above, the kinetic energy is conserved. Mathematically
this is expressed as: |
| |
|
ΔKE = 0 |
|
KEi = KEf |
|
1/2m1v12 + 1/2m2v22
= 1/2m1v1'2 + 1/2m2v2'2 |
| |
| This situation can be somewhat approximated in the case of billiard
balls. If the rolling friction is minimal and the sound of the collision
is minimal, the collision will approximate an elastic collision. |
| |
| Also, check out One
Dimensional Inelastic Collisions. |
| |
| 1) (a) Two tennis balls each with a mass of 0.30 kg collide with each
other. After the collision, the first ball moves to the |
| right with
a velocity of 4.0 m/s and the second ball moves to the left with a velocity
of 5.0 m/s. Given that the |
| velocity
of the first ball before the collision is 5.0 m/s to the left, determine
the velocity of the second ball before |
| collision. |
| (b) Is the collision elastic? Justify your
answer using calculations. |
| |
| 2) (a) Two carts with masses of 2.0 kg and 0.90 kg are held together
by a compressed spring. When released the |
| 2.0 kg cart
moves to the left with a velocity of 6.0 m/s. Determine the velocity of
the 0.90 kg cart. |
| (b) Before the event (any change to the system
can be thought of as an event), the two carts are stationary meaning |
| that before the
event the kinetic energy is zero. After the release, each cart is moving
meaning that after the event |
| the kinetic energy
is non-zero. Is the conservation of energy being violated here? Justify
your reasoning. |
| |
| 3) A 4.0 kg mass is moving with a velocity of 12 m/s and collides with
a stationary mass of 2.0 kg. Calculate the |
| velocity of each mass after the collision. |
