Forces, momentum and safe stopping
| English | 中文 | Pinyin |
|---|---|---|
| momentum/məʊˈmentəm/ | 动量 | dòng liàng |
| resultant force/rɪˈzʌltənt fɔːs/ | 合力 | hé lì |
What would explain this observation?
- A passenger continues moving when a vehicle brakes. The seat belt provides the force needed to change the passenger momentum 动量.
- Start with a prediction. State the quantities or features you would compare, then decide what evidence could distinguish two explanations.
Build the model
- Resultant force 合力 causes acceleration, not motion itself. Momentum is mass multiplied by velocity. For an isolated system, total momentum is conserved even when kinetic energy is not.
- momentum: Mass multiplied by velocity; resultant force: The vector sum of forces on an object.
For fixed momentum change, which reduces average stopping force?
Impulse equals momentum change. Increasing stopping time for the same momentum change reduces average force. Identify external forces before applying momentum conservation.
Match each technical term to its precise meaning.
Use the definitions to distinguish related quantities and processes.
Choose evidence that can test it
- Impulse equals momentum change. Increasing stopping time for the same momentum change reduces average force. Identify external forces before applying momentum conservation.
- Draw a free-body diagram containing only forces on the selected object. For spring measurements, add loads in steps within the elastic range and measure extension from the unloaded position.
Which two habits make the investigation or model in this case more defensible?
Draw a free-body diagram containing only forces on the selected object. For spring measurements, add loads in steps within the elastic range and measure extension from the unloaded position.
Work from known quantities
- State the known values and their units. Choose the relation because its assumptions fit this case, then rearrange before substitution.
- Known: a 60 kg passenger slows from 10 to 0 metres per second in 0.50 s. Δp = m(v-u) = 60(0-10) = -600 kg metres per second. Average F = Δp/Δt = -600/0.50 = -1,200 N. The sign shows the force opposes the initial motion.
A 2 kg trolley travels at 3 metres per second. Find its momentum. Use the same sequence: known quantities → model → relation → substitution → unit and interpretation.
A 2 kg trolley travels at 3 metres per second. Find its momentum.
The result is 6 kg·m/s. Known: a 60 kg passenger slows from 10 to 0 metres per second in 0.50 s. Δp = m(v-u) = 60(0-10) = -600 kg metres per second. Average F = Δp/Δt = -600/0.50 = -1,200 N. The sign shows the force opposes the initial motion.
Check the conclusion and its limits
- Balanced forces do not require the object to be at rest. Mass and weight have different units and meanings.
- Return to the original observation. Explain what the result supports, which conditions it assumes, and one way to test a competing explanation.
An object moving at constant velocity must have a nonzero resultant force. This claim is false: Balanced forces do not require the object to be at rest. Mass and weight have different units and meanings.
Forces, momentum and safe stopping: Impulse equals momentum change. Increasing stopping time for the same momentum change reduces average force. Identify external forces before applying momentum conservation.
An object moving at constant velocity must have a nonzero resultant force.
Balanced forces do not require the object to be at rest. Mass and weight have different units and meanings.
Mass multiplied by velocity: write the technical term.
momentum means Mass multiplied by velocity.