A 6-N force pushes to the right on a 3-kg object for 8 seconds.

a) Calculate the impulse.

b) How much momentum did the object gain?

Impulse=48NS momentum=48kgm/s

Explanation:

Impulse=force*time=6*8=48NS

Impulse = change in momentum

Therefore momentum=48kgm/s

Impulse = 48 kg m/s

Gain in momentum = 48 kg m/s

Explanation:

Force (F) = 6N

Time (t) = 8

Mass (m) = 3 kg

Final velocity (v) = ?

Initial velocity (u) = 0 m/s

First, find acceleration

F = m * a

a = F / m

a = 6 / 3

a = 2 m/s^2

Now, find final velocity

v = u + a * t

v = 0 + 2 * 8

v = 16 m/s

Now, find impulse

Impulse = change in momentum

Impulse = final momentum - initial momentum

Impulse = m * v - m * u

Impulse = m (v - u)

Impulse = 3 (16 - 0)

Impulse = 48 kg m/s

Here, gain in momentum is same as impulse.