# In a collision, is the net impulse experienced by an object equal to its momentum change?

Yes. Impulse is defined as the change in momentum over an arbitrary time interval, or equally as the average force times the difference in time.

If you know an object's initial momentum and its final momentum, the impulse is given by the difference between the two values.

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Yes, in a collision, the net impulse experienced by an object is equal to its momentum change. This is based on the principle of conservation of momentum, which states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision. Therefore, the change in momentum of an object during a collision is equal to the net impulse exerted on it.

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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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