# A ball with a mass of #4 kg # and velocity of #5 m/s# collides with a second ball with a mass of #9 kg# and velocity of #- 4 m/s#. If #40%# of the kinetic energy is lost, what are the final velocities of the balls?

This is a Conservation of Energy question

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The final velocity of the 4 kg ball is approximately ( -0.6 , \text{m/s} ), and the final velocity of the 9 kg ball is approximately ( -1.4 , \text{m/s} ).

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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 #4 kg # and velocity of #4 m/s# collides with a second ball with a mass of #2 kg# and velocity of #- 1 m/s#. If #15%# 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 #1 m/s# collides with a second ball with a mass of #7 kg# and velocity of #- 4 m/s#. If #40%# of the kinetic energy is lost, what are the final velocities of the balls?
- The velocity of an object with a mass of #2 kg# is given by #v(t)= sin 5 t + cos 6 t #. What is the impulse applied to the object at #t= pi /4 #?
- The kinetic energy of an object remains constant during an elastic collision. Is that true or false?
- A ball with a mass of # 6 kg# is rolling at #7 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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