Which mathematical representation correctly identifies impulse? (1 point)
Responses
impulse=velocitytime
impulse
=
velocity
time
impulse is equal to velocity over time
impulse=forcetime
impulse
=
force
time
impulse is equal to force over time
impulse=force×time
impulse
=
force
×
time
impulse is equal to force times time
impulse=acceleration×time
impulse = force × time
The correct mathematical representation that identifies impulse is:
impulse = force × time.
Impulse is equal to force multiplied by time.
The correct mathematical representation that identifies impulse is impulse = force × time.
Impulse is defined as the change in momentum of an object, and it is directly proportional to the force applied to the object and the time duration over which the force is applied.
To derive the equation for impulse, we use Newton's second law of motion, which states that force is equal to the rate of change of momentum. Momentum is defined as the product of mass and velocity. So, force = mass × acceleration, and momentum = mass × velocity.
If we rearrange the equation for force to solve for acceleration, we get acceleration = force / mass. By substituting this expression for acceleration in the definition of impulse, we have impulse = (force / mass) × time.
Since mass × time is equivalent to impulse, we get the final equation impulse = force × time.
Hence, the correct mathematical representation for impulse is impulse = force × time.