# How are momentum and impulse calculated?

Multiply all the masses by the corresponding velocities, then take the total of those.

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Momentum is calculated by multiplying an object's mass by its velocity. Impulse is calculated by multiplying the force applied to an object by the time over which the force is applied. Mathematically, momentum (p) is calculated as p = m * v, where m is mass and v is velocity. Impulse (J) is calculated as J = F * Δt, where F is force and Δt is the change in time.

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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?
- A ball with a mass of #5 kg# moving at #3 m/s# hits a still ball with a mass of #6 kg#. If the first ball stops moving, how fast is the second ball moving?
- 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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