# A ball with a mass of #7 kg# moving at #4 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?

The velocity of second ball is

The linear momentum is conserved.

Consequently,

Kinetic energy loss is

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After the collision, the second ball will move at a velocity of 1 m/s. The kinetic energy lost as heat in the collision is 84 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.

- An astronaut with a mass of #85 kg# is floating in space. If the astronaut throws an object with a mass of #20 kg# at a speed of #5/8 m/s#, how much will his speed change by?
- The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 4 t + cos 3 t #. What is the impulse applied to the object at #t= pi /6 #?
- A ball with a mass of #5kg# moving at #4 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?
- A ball with a mass of #2 kg# moving at #7 m/s# hits a still ball with a mass of #5 kg#. If the first ball stops moving, how fast is the second ball moving?
- A ball with a mass of # 3 kg# is rolling at #6 m/s# and elastically collides with a resting ball with a mass of # 8 kg#. What are the post-collision velocities of the balls?

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