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Question
do now / review worksheet
bouncing balls lab — momentum, collisions & energy
bounce height visual
momentum diagram
- what is momentum? what two variables determine it?
- why does dropping height matter for velocity before impact?
- list the two types of collisions you learned.
- explain the difference between elastic and inelastic collisions.
- which ball bounced highest in your lab and why?
- calculate velocity before impact for a 0.12 kg ball dropped from 1 m.
Step1: Apply conservation of energy
Gravitational potential energy converts to kinetic energy: $mgh = \frac{1}{2}mv^2$. Mass cancels out.
Step2: Solve for velocity
Rearrange formula: $v = \sqrt{2gh}$. Substitute $g=9.8\,\text{m/s}^2$, $h=1\,\text{m}$.
Step3: Calculate the value
$v = \sqrt{2 \times 9.8 \times 1} = \sqrt{19.6} \approx 4.43\,\text{m/s}$.
Brief Explanations
- Momentum is mass in motion, determined by mass and velocity.
- Higher height means more gravitational potential energy, converting to greater kinetic energy (and thus velocity) before impact.
- Elastic collisions and inelastic collisions.
- Elastic collisions conserve both momentum and kinetic energy; inelastic collisions conserve momentum but not kinetic energy (some energy is lost).
- Depends on lab data—typically a more elastic ball (e.g., a hard rubber ball) bounces highest because less kinetic energy is lost as heat/deformation.
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Approximately 4.43 m/s