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The final exam for physics 7b ss1 2013, covering steady state fluid circuits, charging capacitors, rotating rods, and spring-mass systems. The exam consists of 6 problems, worth a total of 100 points. Students are encouraged to attempt each question, as a wrong answer is better than no answer. The problems include applying the bernoulli equation to different segments of a fluid circuit, drawing graphs of charge, current, and voltage during capacitor charging, comparing values in different scenarios of a rotating rod, accurately drawing momentum vectors and determining forces during a collision, and determining the person's position and drawing an extended force diagram for a balancing beam.
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The fluid circuit below has reached a steady state. Consider the Bernoulli equation as applied to different segments along the fluid circuit (1โ2, 1โ3, and 1โ1). Indicate whether each
table below.
Identical masses are attached to either side of a rod of length. The rod is then nailed down such that it rotates about the nail (the nail acts as a pivot point). In scenario A, the pivot point is in the center of the rod, and in scenario B, the pivot point is located on the left mass. An
identical force is the applied at a distance from the pivot for each scenario. Compare the 4
values below by circling either โ<โ, โ=โ or โ>โ, (less than, equal to, or greater than), for each case.
Two objects, labeled A and B, have some initial momentum represented below with accurately drawn vectors. These objects collide, and the final momentum of object A is given as a vector. There are no external forces acting on this system.
a) Accurately draw the momentum vector for object B, and also indicate its magnitude in the space provided above the graph.
b) Draw vectors accurately representing the directions of the force on A and on B during their collision in the graphs provided. Assuming the collision lasted for 0.5 seconds, and that the force on each object was constant during the collision, indicate the magnitude of the force on each object in the space provided.
In the situation below, a beam is balancing and stationary on a the pivot-triangle shown. Using the given information:
i) (9pts) Determine how far the person is from the pivot point. ii) (16pts) Draw an extended force diagram for the forces acting on the beam in the space provided. While the lengths of the vectors donโt need to be perfect, they should be somewhat accurate.
