Challenge a force inventory with independent acceleration
Choose the recipient before adding forces. A force describes an interaction on that recipient, with a direction and an agent. Velocity describes motion; acceleration describes a change of velocity. A point moving east can have a northward acceleration, and a point moving west can have an eastward acceleration. The force diagram is not a sketch of its velocity arrows.
Learning outcome: Compare H=−4,0,4 N while holding F=6 N. Retain component residuals and propose one independent acceleration or force check. Explain why a residual of zero at one setting does not establish every instrument calibration.
Starting recap
Draw recipient-specific interactions, resolve signed components and identify the domain of each force/contact model before substituting.
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Try
At F=6 N and H=2 N, total force is (4,6) N with magnitude √52≈7.21110 N. Dividing by 2 kg gives (2,3) m/s². The listed forces alone would predict (2,2) m/s².
Open the experimentPredict
A point can have zero net force while:
Experiment
Compare H=−4,0,4 N while holding F=6 N. Retain component residuals and propose one independent acceleration or force check. Explain why a residual of zero at one setting does not establish every instrument calibration.
Infer a missing interaction from vector evidence
Worked teaching model · synthetic values · Synthetic 2 kg point in a horizontal plane. Listed forces are (F,0) N and (−2,4) N; an unlisted interaction is (0,H) N. Acceleration is supplied independently by the generator, not measured hardware.
Reset keeps your prediction, captures and practice history.
Force sums and independent dynamical demand
Spatial axes use the same pixels per physical unit, preserving geometry. 1: listed resultant (solid).2: mass times supplied acceleration (dashed). Joined curves show the supplied model, not additional observations.
Equivalent numerical coordinates for Force sums and independent dynamical demand
listed resultant
| east force (N) | north force (N) |
|---|---|
| 0 | 0 |
| 4 | 4 |
At most 82 representative computed coordinates including endpoints; the plotted curve can use a finer grid. A table of a revealed generator is not independent measurement evidence.
mass times supplied acceleration
| east force (N) | north force (N) |
|---|---|
| 0 | 0 |
| 4 | 6 |
At most 82 representative computed coordinates including endpoints; the plotted curve can use a finer grid. A table of a revealed generator is not independent measurement evidence.
| Quantity | Value | Unit |
|---|---|---|
| Listed east force | 4 | N |
| Listed north force | 4 | N |
| Supplied east acceleration | 2 | m/s² |
| Supplied north acceleration | 3 | m/s² |
| Inferred missing north force | 2 | N |
| Total force magnitude | 7.2111 | N |
A vector mismatch challenges the force inventory, not Newton’s law by itself.
For the declared inertial frame and mass, missing force equals m a minus the sum of listed interactions. This identifies a required component, not its physical agent: acceleration calibration, mass error or an omitted interaction need independent tests. Neither force nor acceleration alone determines the current velocity.
Predict before inspecting the values. Save contrasting records with assumptions and one alternative explanation. This virtual display does not certify practical measurement technique.
A vector mismatch challenges the force inventory, not Newton’s law by itself.
For the declared inertial frame and mass, missing force equals m a minus the sum of listed interactions. This identifies a required component, not its physical agent: acceleration calibration, mass error or an omitted interaction need independent tests. Neither force nor acceleration alone determines the current velocity.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Why is an inferred missing component not yet an identified interaction?
Continue
Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
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