Question

The change in momentum of an object is equal to the Question 4 options: Force acting on it times its velocity. impulse acting on it. Change in velocity of the object.

Answer 1

impulse acting on it

Step-by-step explanation:

The impulse is defined as the product between the force applied to an object (F) and the time interval during which the force is applied (
`\Delta t`):

`I=F\Delta t`

We can prove that this is equal to the change in momentum of the object. In fact, change in momentum is given by:

`\Delta p = m \Delta v`

where m is the mass and
`\Delta v` is the change in velocity. Multiplying and dividing by
`\Delta t`, we get

`\Delta p = m (\Delta v)/(\Delta t) \Delta t`

and since
`(\Delta v)/(\Delta t)` is equal to the acceleration, a, we have

`\Delta p = ma \Delta t`

And since the product (ma) is equal to the force, we have

`\Delta p = F \Delta t`

which corresponds to the impulse.