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Vectors in One Dimension

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Vectors in One Dimension
Read pgs. 67-68 in the text and use the information to answer the following.

Remember that when the text discusses negative and positive velocities, that it is
referring to direction. For example, if you are moving east at 1 meter/second and
another object is moving west at .5 meter/second, your velocity after the collision is .5
meters/second east.

The same concept can be used to determine movement of a stationary object under
force. For instance, if you are lifting with a force of 50 newtons and you are working with
a partner who is also lifting with a force of 50 newtons, you can lift a box that weighs 100
newtons.

Make sure that your units (mph, kph, and so on) are the same in each problem.
For the following examples, calculate the net force and explain what will happen after the
collision between the objects indicated.
1. A longboarder is going west on a level surface at 2 meters/second. A dog is running
straight toward him at a velocity of 1.5 meters/second.
a. What is the final velocity of the skateboarder after the collision,? (+1)
b. Which direction is he traveling? (+1)
2. A car is traveling north at 10 meters/second. A second car is traveling south in the same
lane at 10 meters/second.
.
What is the final velocity of the cars after the collision? (+1)
a.
Which direction will the cars be traveling? (+1)
3. Two movers are working together to lift a couch. One mover lifts the couch with a force
of 650 newtons. The other mover lifts the couch with a force of 500 newtons. The
couch weighs 1200 newtons.
.
What is the sum force that the movers exert on the couch? (+1)
a.
Will the movers lift the couch? (+1)
b.
Why or why not? (+2)
4. A baseball player throws a baseball straight up at a velocity of 25 meters/second. A
young falcon - being a bit less than bright - sees the baseball flying upward and thinks
that it is lunch. The falcon then dives straight down at a velocity of 18 meters/second to
capture his tasty baseball lunch.
.
What will happen to the falcon when he impacts the baseball? (+1)
a.
Describe the falcon’s final velocity and direction after impact. (+2)
b.
Make a vector diagram showing the forces involved. (+1)
5. A hockey player is traveling west at 15 meters/second. A second hockey player in front
of the first one is traveling west at 10 meters/second.
.
What is the final velocity of the second hockey player after the first one hits him? (+1)
a.
In what direction is he traveling? (+1)
b.
Make a vector diagram showing the forces involved. (+1)
6. A rock rolls down a hill at 5kph. Mr. Blakney is trotting up the hill in the opposite
direction at 2 meters/second.
.
Does the rock have a greater velocity, or does Mr. Blakney?
a.
What is the final velocity of the rock and Mr. Blakney? (+1)
b.
Which direction are Mr. Blakney and the rock traveling? (+1)
(+1)
7. In all of the above prompts, the examples use some assumptions. Consider the
difference between the hockey players in example 5 and the same collision in example
two. How would they be different? Your answer should be a short paragraph. Make
sure that you use complete sentences and proper punctuation. (+3)
8. Consider the falcon in example 4. Are there any other forces involved, and how would
they make a difference? You answer should be a paragraph. (+4)
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