What mathematical representation correctly identifies impulse
The mathematical representation that correctly identifies impulse is:
Impulse = change in momentum
Mathematically, impulse (J) is calculated as the product of force (F) and time (t), and can be expressed as:
J = F * t
where,
J = impulse (Ns or kg·m/s)
F = force (N)
t = time (s)
The mathematical representation that correctly identifies impulse is denoted by the equation:
Impulse = Force x Change in Time
or
J = F * Δt
where:
J is the impulse,
F is the force applied to an object, and
Δt is the change in time over which the force is applied.
It is important to note that impulse is a vector quantity, meaning it has both magnitude and direction. Consequently, the force and change in time must also be considered as vector quantities if they have direction.
The mathematical representation that correctly identifies impulse is defined as the product of force and the time interval over which the force acts. Mathematically, impulse (J) can be written as:
J = F * Δt
where:
- J represents the impulse,
- F represents the force, and
- Δt represents the change in time or the time interval over which the force acts.
To calculate impulse, one must multiply the force applied on an object by the time interval during which the force acts. The resulting value is measured in units of Newton-seconds (N•s) or kilogram-meters per second (kg•m/s).
It is important to note that impulse is a vector quantity, which means it has both magnitude and direction. It is typically represented using boldface type or an arrow symbol to indicate its direction.