Practice Midterm 2

# Practice Midterm 2 - PHYS 171 EXAM 2 Spring 2007 NAME...

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Unformatted text preview: PHYS 171 EXAM 2 Spring 2007 NAME: Student ID #: Useful Quantity: g = 10 m/S2 Problem 1 ( 30 points) ( about 10 min. ) A bullet of mass m = 50 g strikes and gets stuck in a block of mass M = 2 kg, which is suspended from a massless string of length L = 1m. After the collision the string rises to a maximum angle of 8 = 30°. The goal of this experiment is to ﬁnd the initial velocity of the bullet V. hinge E} m H Before After the speed u of the “bullet+bloek” right after the bullet gets stuck (12 pts) Find v, the bullet speed before hitting the block. 'EW 040m Item yw inch COME/7‘”; 4’; “WEI/r 5'0 dong“ worry (Leos/T “*— rear“ “43" "0W! NAME: Student ID #: Problem 5 (16 points) Two sleds of mass m are given a kick on an icy hill The kick imparts to them an initial speed of30.00 mfs. One sled goes up a steep (30 degree angle) short track and comes to rest at the top of the hill. It is so slippery that we can ignore friction —also ignore air resistance. (g = 9.80 m/sz) 3) what time does it take the sled to come to rest on the steep hill? b) what time does it take the sled to come to rest on the shallow hill? \ Q0, 1" 30° .47 [IF-w: ﬂ*m36059' :o =7 11"!“36059 ZFX' '3 “M96717? = 0m. r? a ‘: —?S‘m\$’ Srhw a: (onrmf': V62): 14', Hit: V0 "@S/néjt ardlv, {—010 0:14. {gawk - V” _ 30 _ 33—530 - \$3.? r 6J2 é. Nor gang‘s thief/hang)”, final» an Ana/e, 5/- NAME: Student ID #: Problem 3 (30 points) Two masses hang from pulleys as shown. (g = 9.80 m/sz) 3) Draw the free body diagram for mass b. If the mass does not accelerate, what is the tension in the string T3? b) What are the tensions at pointsT, and T2 in the rope? What mass mal is required to balance mb ? ZF: 12/ng :‘O m “=7 73 Wu; = Wes/h 362.,W it a 5 Tun-Hf £9 #1 Same: eve/yum, (‘0 '39:”. : 3am 2-53 Tz-+-T‘— “a a: MO Eam¢r 21L: m 2:2!”4 g 3 3 :7? m‘gzméGyA}, c) Now suppose mass a is changed to a lower value, and the tension in the string at T3 drops to 34.2 N. What is the magnitude of downward acceleration of m1, (Hint: draw another free body diagram for nib)? t7? :5: nﬂm‘gmm ,4, 3‘l2N-3‘Ejuvs aﬁ’a 51:; M/gz 3 [ﬁlm/£2 Ll! ...
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