How are momentum and impulse related?

Answer 1

Momentum is mass * constant velocity, impulse involves imposing a force (either for or against) for a specified time , altering the velocity (and therefore, momentum)

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Example. a 10 kg mass (m) @ 10 metres / second, has an impulse of 100 newtons / 10 seconds (t) applied in the direction of motion.

Find the velocity change / new velocity / initial and final momentum

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From f = m * a, but a = velocity change (vc) / time (t)

So>

f = m * (vc / t)

Then>

vc = t * (f / m) = 10 * 10 = 100 metres / sec velocity change (+ in this case)

so, velocity is now 10 + 100 = 110 metres / sec (constant velocity)

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initial momentum (p) = 10 * 10 = 100

momentum (after impulse) (p) = 10 * 110 = 1100

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Alternatively, to calculate final velocity after impulse

First, find acceleration rate from a = f / m

you know the impulse time, you know the initial velocity.

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Use v = u + (a*t)

v = 10 + (10 * 10)

v = 110 metres per second

Answer 2

F= m(v-u)/t or Ft= mv-mu... Impulse. Impulse= change in momentum. The unit of impulse is the newton second (Ns). Since this quantity is equal to change in momentum it means that momentum can also be expressed in Ns. Impulse=Ft=change in momentum.

Answer 3

Momentum is the product of an object's mass and velocity, while impulse is the change in momentum of an object when a force is applied over a period of time. The relationship between momentum and impulse is described by the impulse-momentum theorem, which states that the impulse experienced by an object is equal to the change in its momentum. In simpler terms, impulse causes a change in momentum.