quiz_3_soln_fall00

# quiz_3_soln_fall00 - ixﬂwi EGN 3321 section 0002 Spring...

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Unformatted text preview: ixﬂwi EGN 3321 section 0002, Spring 2002 Name: Quiz#3 A spring is used to stop a 75-kg package which is moving down a 20° incline. The spring has a constant k = 25kN/m, and is held by cables so that it is initially compressed 0.1 m. The velocity of the package is 6m/s when it is 10 m from the spring. The spring compresses with an additional amount denoted by d in bringing the package to rest. Assume u = 0.20. 6m/s \> Questions: 1. (1 pt.) What is the equation for the initial kinetic energy. a. Equation in variable form: T1 2Lle b. Equation with values substituted in: T1= iGSNZ Z ’39’ J 2. (1 pt.) What is the equation for the ﬁnal kinetic energy. a. Equation in variable form: 1- T2: b. Equation with values substituted in: T2: :GQM) '6 o ¢ 7/4 30) 3. (1 pt.) What is the equation for the work done due to gravity. -- a——*' W” + ‘ WW— 4 a. Equation in variable form: 54 E? [EQOM )S’KZO . : ._‘ 2 “WC L" L‘” M Ul'z’gmy WINK 5 X) (AA 7 ’ 2’3? 'Qowl) an; El 3 (£953 mwmd) b. Equation with values substituted in: Us, = - WEEQOﬁ‘CO m7 2 257. a (10+ :21) g 4. (2 pt.) What is the equation for the work done due to elastic forces in the spring. a. Equation in variable form: U1-2, spring = {2241'- 949/723, b. Equation with values substituted in: .,. l , A _> ‘2 U1-2,sp,mg= J; Z§Q05)(o.\)7"- 1; ZDQO’SX owed) =- tzo» l2®o<01+ql>3 5. (2 pt.) What is the equation for the work done due to the frictional force. M W a. Equation in variable form: WWV - U1-2,ﬁ1'ction= ’4?‘ W a 3 7/11 (0270‘?) ‘ b. Equation with values substituted in: U1-2,ﬁ’iction= " 0'. c9 2 6. (2 pt.) Determine the maximum additional deformation ((1) of the spring in bringing the package to rest. A 7/..4’ “*1 3 /L a,2 7 '1“ '1‘ 9 q ’ 025%}; + 62(16405 4— L23” - /2,6‘Oo(’0.O/+ Oldﬁil) «v- 13ng - 133.234- 2 f/33.é ’ aazaemL— lam-94L A350 ~/ #236 -2€25.é<cL~ 0330 0/}: r0 éVLSbo) / w (ii—e 0/303 Ci, 0,13sz d>o \loL; aggrav‘ ...
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