# A ball with a mass of #6 kg# moving at #16 m/s# hits a still ball with a mass of #10 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?

KE loss

let us lay out what we know

Object 1

Object 2

we shall use the conservation of linear momentum

we have

KE loss

note that this is the total loss of KE. It doesn't all go into heat, some will go into other forms of energy for example sound.

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The second ball will move at a speed of 9.6 m/s. The amount of kinetic energy lost as heat in the collision is 460.8 joules.

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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 #7 kg# moving at #3 m/s# hits a still ball with a mass of #18 kg#. If the first ball stops moving, how fast is the second ball moving? How much heat energy was lost in the collision?
- A ball with a mass of #15 kg# moving at #4 m/s# hits a still ball with a mass of #24 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?
- Is the total momentum always conserved between any two objects involved in a collision?
- A toy dart gun generates a dart with 0.180 kg.m/s momentum and a velocity of 4.1 m/s. What is the mass of the dart in grams rounded to 2 significant figures?
- A ball with a mass of #12 kg# moving at #7 m/s# hits a still ball with a mass of #24 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?

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