Answer:
option (D)
Explanation:
If a large force acting on a body for a very small interval of time, it is called impulse.
Impulse is a vector quantity. its SI unit is kg m/s.
The formula of impulse is given by
Impulse = Force x Δ t = change in momentum.
Answer:
D) the product of an object's mass and its change in velocity
Explanation:
The impulse is defined as:
[tex]I = F . \Delta t[/tex] (1)
Where I is the impulse, F is the force and t is the time whereby the force will be applied on the object.
By using Newton's second law, the impulse can be related with the mass and the change in velocity as a consequence of the acting force:
[tex]F = ma[/tex] (2)
Where F is the force, m is the mass and a is the acceleration.
The acceleration can be determined using the equations for a Uniformly Accelerated Rectilinear Motion:
[tex]a = \frac{\Delta v}{\Delta t}[/tex] (3)
Where [tex]\Delta v[/tex] is the change in velocity ([tex]v_{2} - v_{1}[/tex]) and [tex]\Delta t[/tex] is the interval of time ([tex]t_{2} - t_{1}[/tex])
Remember that the acceleration is defined as the change in velocity in an interval of time.
By replacing equation (3) in equation (2) it is gotten:
[tex]F = m\frac{\Delta v}{\Delta t}[/tex]
[tex]F . \Delta t = m\Delta v[/tex]
[tex]F . \Delta t = m(v_{2} - v_{1})[/tex]
But [tex]F . \Delta t[/tex] is the impulse according with equation (1), therefore:
[tex]I = m(v_{2} - v_{1})[/tex]
So what best describes an impulse acting on an object is the product of an object's mass and its change in velocity.
