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Collisions | Physics for Grade 10 PDF Download

Introduction

  • Examples of momentum in an event are collisions
  • Objects will either:
    • Collide and move in opposite directions - this is an elastic colision
    • Collide and move in the same direction together - this is an inelastic collision
  • When the objects move in opposite directions:
    • Each object will have a different velocity depending on its mass and initial momentum of the system
  • When the objects move in the same direction together:
    • They will have a combined mass and velocity
  • Momentum is always conserved in a collision
    Types of collisions
    Types of collisions

Exam Tips: If an exam question asks you to analyse a collision, follow these tips for full marks:

  • Always consider the motion before and after the collision and state:
    • The velocities of each object
    • The direction each object moves
  • State whether the collision was elastic or inelastic and explain your reasoning
    • In a perfectly elastic collision, the kinetic energy is the same before and after
    • In a perfectly inelastic collision, the two objects stick together after colliding
  • Describe any energy transfers that occur if kinetic energy is not conserved
    • For example, it may be converted into heat, sound, elastic potential energy etc

Calculations Involving Collisions

  • Calculations involving collisions use the conservation of momentum to determine the velocity of an object (or objects) before or after the collision
  • This means the momentum before the collision must equal the momentum after the collision for momentum to be conserved

Solved Example

Example: An object of mass 1 kg is travelling at 3 m/s when it collides with a heavier object of mass 2 kg. The two objects stick together and travel off as one.Calculate the combined velocity of the objects after the collision.

Step 1: Draw a diagram

Collisions | Physics for Grade 10

Step 2: State the principle of conservation of momentum
The total momentum before a collision = The total momentum after a collision

Step 3: Calculate the momentum before the collision
Before the collision, only the 1 kg object has any momentum
pbefore = mv = 1 × 3 = 3 kg m/s

Step 3: Determine the momentum after the collision
The combined mass is now 1 + 2 = 3 kg
pafter = mv = 3 × v

Step 4: Substitute values into conservation equation
pbefore = pafter
3 = 3 × v

Step 5: Rearrange for the combined velocity v
v = 3 ÷ 3 = 1 m/s

Exam Tip: Always double-check the signs (positive or negative) for the velocity in your answers, as this is the most common type of calculation error!

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