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ACT® · Science: Background Knowledge - Physical Science

Momentum

Momentum is mass times velocity, and the total momentum of colliding objects stays the same before and after impact, even though kinetic energy often does not.

A science passage about collisions is really asking one question: does momentum add up the same way before and after? Momentum is p = mv, mass times velocity. In any collision where no outside push or drag acts on the system, total momentum before equals total momentum after. That is the whole rule. It holds whether the objects bounce apart, stick together, or crumple. You read a table or graph, add up mass times velocity for everything going in, and set it equal to the same sum going out.

Kinetic energy is a different story. KE = (1/2)mv2 is not automatically conserved, because collisions can turn motion into heat, sound, and deformation. A collision that keeps all the kinetic energy is called elastic; one that loses some is inelastic. When two objects stick together, that is the most inelastic case possible, and it always loses the most kinetic energy while momentum still balances. A passage showing momentum staying flat but kinetic energy dropping is just describing an ordinary inelastic collision, not a broken rule.

This sits next to force and energy items because momentum connects them: force equals mass times acceleration, and a collision applies a brief force that changes velocity, hence momentum, over a short time. Expect a data table or a before-and-after diagram with masses and velocities, and a question asking you to conserve one quantity (momentum) while energy visibly changes. The truck-versus-bicycle style question is testing whether you remember that mass counts just as much as speed.

Key terms

Momentum
The product of an object's mass and velocity, p = mv, conserved in any isolated collision.
Elastic collision
A collision in which total kinetic energy is the same before and after, with none lost to heat or deformation.
Inelastic collision
A collision in which kinetic energy decreases even though total momentum stays the same.
Conservation of momentum
The principle that total momentum of a closed system does not change unless an outside force acts on it.

Watch it explained

  1. How it worksHow does momentum stay constant through a collision even when kinetic energy does not?
  2. Worked exampleFind the final speed when a 2 kg cart at 3 m/s hits and sticks to a 4 kg cart sitting still.
  3. Common mistakeWhy isn't a collision that conserves momentum automatically conserving energy as well?
  4. Going furtherWhat changes about a collision's outcome when the objects bounce apart instead of sticking?

Check yourself

Your turnhard1 of 3
A cart of mass 4 kg moving at 7 m/s strikes a stationary cart of mass 8 kg and the two stick together. What is their common speed afterward, in meters per second?

End of topic.