# How is impulse related to momentum?

Newton's Second Law:

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Impulse is the product of force and time, while momentum is the product of mass and velocity. The impulse-momentum theorem states that the impulse experienced by an object is equal to the change in its momentum. Mathematically, impulse (J) = force (F) * time (Δt), and momentum (p) = mass (m) * velocity (v). The relationship is expressed as J = Δp, where Δp is the change in momentum.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An astronaut with a mass of #75 kg# is floating in space. If the astronaut throws a #7 kg# object at a speed of #5/4 m/s#, how much will his speed change by?
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- Which has more momentum, an object with a mass of #5kg# moving at #15m/s# or an object with a mass of #16kg# moving at #7m/s#?
- A ball with a mass of #4 kg # and velocity of #3 m/s# collides with a second ball with a mass of #5 kg# and velocity of #- 1 m/s#. If #20%# of the kinetic energy is lost, what are the final velocities of the balls?
- A ball with a mass of #2# #kg # and velocity of #5# # ms^-1# collides with a second ball with a mass of #7# #kg# and velocity of #- 4# #ms^-1#. If #40%# of the kinetic energy is lost, what are the final velocities of the balls?

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