1. Analyze the system as shown and described:
• In the initial condition, the spring is compressed and the box has zero velocity.
• In the final condition, the 6.40 kg box is moving at a speed of 10.8 m/s across a friction-less surface.
a. Draw the bar graphs and energy flow diagram for the initial and final situations. Assume NO internal energy.
b. Calculate the energy stored in the system in the initial position.
Final
c. In the initial situation, the spring was compressed 4.0 m. Calculate the spring constant.
2. Consider the diagram representing a portion of Timber Terror at Silverwood. A 100. kg car is not moving at point A. It is released and moves down a frictionless track (no Einternal) and comes to a stop as it compresses a huge spring at point D. The y- axis is measured in meters to 3 sig figs.
The system includes: the cart, the riders, the earth, the track, the spring.On the axes below, sketch the energy bar graphs for the car at the indicated points.
a. Calculate the energy of the cart at Point A.
Energy (J)
Energy (J)
Position C
Position D
b. How fast is the car moving at Point B? Show your work!
EXTRA CREDIT: How far (Ax) has the block traveled on the second friction pad when it comes to a complete stop at Point C? Assume friction is negligible everywhere but on the friction pads.