# An astronaut with a mass of #105 kg# is floating in space. If the astronaut throws an object with a mass of #3 kg# at a speed of #7/8 m/s#, how much will his speed change by?

I found

We can use conservation of momentum along, say, the

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The astronaut's speed will change by approximately -3.6 x 10^-2 m/s (or -0.036 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.

- An astronaut with a mass of #90 kg# is floating in space. If the astronaut throws an object with a mass of #7 kg# at a speed of #2/9 m/s#, how much will his speed change by?
- An astronaut with a mass of #95 kg# is floating in space. If the astronaut throws an object with a mass of #3 kg# at a speed of #1/8 m/s#, how much will his speed change by?
- A ball with a mass of # 6 kg# is rolling at #2 m/s# and elastically collides with a resting ball with a mass of # 8 kg#. What are the post-collision velocities of the balls?
- A ball with a mass of #7 kg # and velocity of #1 m/s# collides with a second ball with a mass of #6 kg# and velocity of #- 5 m/s#. If #75%# of the kinetic energy is lost, what are the final velocities of the balls?
- A ball with a mass of #5 kg# moving at #12 m/s# hits a still ball with a mass of #9 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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