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Midterm2ReviewQuestions

# Midterm2ReviewQuestions - 3(15 points Shooting at a fallen...

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Unformatted text preview: 3) (15 points) Shooting at a fallen branch. A boy decides to test his new sling-shot by picking up a rock with a mass of 0.1 kg and shooting it at a 0.4 kg piece of a fallen tree branch sitting on a frozen pond. Assume that the branch can slide on the ice without experiencing any frictional forces. a) If the rock is traveling at 10 mfs horizontally just before it hits the branch, how fast will the combined branch and rock move if the rock gets stuck in the branch upon impact? 1)) Suppose that the rock broke through a hole in the branch such that after the collision the rock was moving slower—but in the same direction—as it was just before impact. Assuming that no pieces of wood broke free from the branch, will the branch 1) not move? 2) move in the same direction as the rock? or 3) move in the opposite direction as the rock? Please explain your answer. 3) Crane (20 points) In class, We analyzed a "crane" shown at the left. The left end of the beam is held up by a cable with tension T. The right end is attached with a frictionless pivoL The mass of the beam is M, . and can't be ignored. It acts at the center of the beam. There is an additional mass M: hanging from the end of the crane. a) Find the tension T in the cable in terms of known quantities b) Find the vertical and horizontal components of the force exerted on the pivot by the beam. Make sure that the direction of each component is clear! c) Assume the cable suddenly breaks. At the next moment. what is the angular acceleration of the beam about the pivot? Make sure the direction andfor sign is clearly deﬁned. ice age-'1 45. A U—shaped tube open at both ends contains wateT and a quantity of oil occupying a 2.0—cm length of the tube, as Shown in Fig. 15.25. If the oil’s density is 0.82 times that 0f water, what is the height difference h? EIGHBLILZS Problem 45 Problem 2 \JVV \I \J LA} \_/\ IL.’ \f “JV it? 9. [imam p L .. .1 __~__J Figure 2: A volume of material is attached to keep the block submerged 1. What is the minimum force required to keep a cube with density pa and length a fully eubmurged in a liquid with density .01, if pp < p;'? 2. You are now given some material with density pm > p;. What volume of material would you need to attach to the cube to keep it fully submurgcd but without sinking to the bottom? What is its average density of the cube and volume of material together? (What would be the density of a uniform density block with a mass m = mcube + mmateriq; and a volume V : chbe + Knaterirﬁ?) lli‘Icrcliﬁe-cl from problem 1?-'? of The Portable TA by A. Elby ...
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Midterm2ReviewQuestions - 3(15 points Shooting at a fallen...

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