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Project 5: Part A: Escape from Korath Part 2
Project 5: Learning Goals
- Be able to analyze a body that is experiencing multiple forces and find its acceleration
- Understand frictional force and when it applies (coefficient of static vs. kinetic)
- Analyze a collision from a before and after perspective
- Be able to apply Newton's 2nd law appropriately
Project 5: Learning Concepts
- Constant acceleration and kinematic equations
- Frictional Force
- Rotated Frames (Forces on an inclined plane)
- Free body diagrams
- Collisions
- Momentum Conservation
- Systems
Your team has navigated to the bottom of the cliff successfully but are confronted by an incline followed by a tunnel that then leads to the dimensional gate that you might be able to use to get back home. Your amazing piece of tech (turning out to be very useful) indicates that the dimensional gate is at the end of the tunnel and must be entered at a speed of 20mph. It also indicates the angle and height of the incline and the length of the tunnel as displayed in the following screenshot from your tech. The tech also indicates that the base of the tunnel is made of a different surface than that of the incline. Your tech indicates that the incline is made of Leannium and you have conducted previous tests on this material that indicate that a sled can rest on an incline of the material without sliding as long as the angle of the incline is less than or equal to 14ยบ. At the top of the incline are two sleds. You also still have your trusty stopwatch. You have one chance of escape, for all of your group members to push the sled down the incline and get in, move through the tunnel, and then the dimensional gate. You additionally want to bring back information about the frictional properties of these materials. Will you be successful?
Conceptual questions:
- Does the frictional force depend on the mass of the object? What about the contact area? Why?
- Is this problem mass-dependent?
- How does the kinetic coefficient differ from the static coefficient of friction? Why are they different? What is happening microscopically?
- Is your calculated initial velocity reasonably attainable? How do you know?
- Can you draw free-body diagrams of the cart when it is on the ramp and also on the ground?