Question

A 260 g block hangs from a spring with spring constant 16 N/m . At t=0 s the block is 27 cm below the equilibrium point and moving upward with a speed of 128 cm/s. Part A What is the block's oscillation frequency? Express your answer to two significant figures and include the appropriate units. MA O O ? Value Units f= Submit Request Answer Part B What is the block's distance from equilibrium when the speed is 63 cm/s ? Express your answer to two significant figures and include the appropriate units. I HÀ Value • • • Ea ? Units 11 = Submit Request Answer Part C What is the block's distance from equilibrium at t = 11s? Express your answer to two significant figures and include the appropriate units. LH LÀ + ? Value Units Submit Request Answer

Answer 1

Given m= 0.26F9 K = 16 N/m 7 27cm t =129cm/ree At t 0 t Part-A - T27 0.R6 2 0.8 1 6 1.25 Hz Part-B firat we hare to Calculate ta Ampltuole f Bren dla to t o, 1 23 m/ree X- 0.21m 4 +Re oela tHon- w=27f 2x*x125 Put the value into tRe equationl 128=7.9SA C0.21)l 0.026588 = AL (02t2 A= 0.315mater Now Block dirtamee pum eauilibnum ohom the id 63 Cm/ee dpeed 0.637.85 (0315)-22 0.03278 20.3Meter

fart-c 1t we +hon; X=A Snot + we Com ote 1 R ditance dm eaililanum A Amputd Phare tirit we hare to ind Auw Ca7(ot + twe A O.31m M1-28 m/Ac At t-o Put tt valu into te equatiem 129 = 0-31Fx 7.0r Co7 (uoxo+ O.518= cp 50.030 t= 11Ace at Now A-&in(wt + 70:315 3n(7.8rx11 +50.0 o.17986505s2 m O. 1 m