# How do you calculate the change in momentum of an object?

There are two approaches that can be used, depending on the issue.

Example: A 3 kg mass traveling 4 m/s to the right first bounces off a wall and moves 2 m/s to the left.

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The change in momentum of an object is calculated by subtracting the initial momentum from the final momentum. Mathematically, it can be represented as:

Change in momentum = Final momentum - Initial 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.

- A ball with a mass of #17 kg# moving at #9 m/s# hits a still ball with a mass of #21 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
- An astronaut with a mass of #95 kg# is floating in space. If the astronaut throws an object with a mass of #4 kg# at a speed of #1/8 m/s#, how much will his speed change by?
- A hockey player of mass 50kg runs at 20 m/s toward another player of 40kg, moving at -10 m/s. They collide. What are the final velocities of the players?
- A ball with a mass of #7 kg# moving at #7 m/s# hits a still ball with a mass of #8 kg#. If the first ball stops moving, how fast is the second ball moving?
- The velocity of an object with a mass of #3 kg# is given by #v(t)= 6 t^2 -4 t #. What is the impulse applied to the object at #t= 3 #?

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