1. Fundamental M4NA Relationship
This laboratory examines the proposed M4NA relationship between the instantaneous applied-force value and the corresponding instantaneous velocity.
f = kv
f = applied-force value | v = instantaneous velocity | k = proportionality constant
M4NA approach:
Each instantaneous force value corresponds to a velocity
value under the selected proportionality constant.
The calculator below demonstrates this mathematical
relationship as proposed within the M4NA framework.
2. Instantaneous Force–Velocity Calculator
Applied-force value (f)
2
Proportionality constant (k)
1
Instantaneous velocity (v)
2
2 = 1 × 2
3. Examine Different Force Patterns
Enter successive instantaneous force values to examine their corresponding velocity pattern.
Force pattern
Increasing
Velocity pattern
Increasing
| Operation | Force value (f) | Velocity (v) | Relationship |
|---|---|---|---|
| 1 | 2 | 2 | 2 = 1 × 2 |
| 2 | 4 | 4 | 4 = 1 × 4 |
| 3 | 6 | 6 | 6 = 1 × 6 |
4. Explore Force and Velocity Patterns
Try these examples by entering the values in Section 3.
Increasing
2, 4, 6
Unchanged
4, 4, 4
Decreasing
6, 4, 2
Mixed
2, 6, 3, 5
5. M4NA Mathematical Expression
f = kv
f/t = kv/t
The first expression represents the proposed instantaneous relationship. The time-form expression may be considered in relation to an instant or a duration, according to the operation being examined.
This laboratory presents the mathematical relationships
proposed by M4NA. It is an exploratory research tool,
not a declaration that the framework has been
experimentally established.