05-06-2024
A force vector represents a force with both magnitude and direction, acting on a body in motion. The resultant vector (R) and its magnitude depend on the combined magnitudes of two force vectors.
Key Concepts:
Force Vectors:
• Force vector = Magnitude × Direction
• Gravitational force vector (g) acts vertically downward.
• Velocity vector (v) acts horizontally.
Resultant Vector:
• Resultant vector (R) is determined by combining g and v.
• R's magnitude depends on g and v.
Influence of v and g:
• When ∥v∥≫∥g∥, g becomes negligible.
• R is predominantly determined by v.
• R's magnitude can be approximated as ∥v∥.
Vertical Component g:
• In a scenario where v≫g, the vertical component g is insignificant.
• R is primarily influenced by v.
A force vector represents a force with both magnitude and direction, acting on a body in motion. The resultant vector (R) and its magnitude depend on the combined magnitudes of two force vectors.
When the magnitude of the velocity vector (v) exceeds that of the gravitational force vector (g), the gravitational force's influence becomes negligible. Consequently, the resultant vector (R) is predominantly determined by the horizontal velocity vector (v), leading to the effective velocity of the body being approximated as v, with the gravitational force having an insignificant impact on R.
In a scenario where a 10g body accelerates to a desired velocity, with v≫g, the resultant vector R is primarily determined by the horizontal velocity vector v, rendering the vertical component g negligible.
In this context, the vertical component (g) is insignificant, allowing the effective velocity to be approximated as v and rendering the gravitational force's influence insignificant
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