Question

Mis in quattrow. Coostost k = 079 M = 700kg nad is slowly pushed upongo against M... Cupressing the spring by A=0.200 m. in figure (b). The Systery is released and both objects start macicy to the right on the frictivoless surface. a) Find the value of V. When M, reaches equalibrium point, 2 loses cootact with on, (figure c) acs. moves to the right with speed u. b) Find how far apart are the objects Wheo the spring is fully stretched for the forst time. Distance Din Figure (d) Chiat: fiod period of Oscillation first and applito de afm. spring system after M₂ loses contact with m..

Answer 1

ca) mmma mimi A K m m, me ejuilibrium (i) from Mechanical Energy conxeration ĮRA²= Į M, + Mzju? V = A K (mitm) (d) I re mi me D m2 looses contact from m, at equilibrium then it moves with constant speed v. but m, is attached to spring som, will oscillate but in first time when spring ý stretched then time taken by block me to reach externe position is T/

mi here T is time period of oscillation of my de then distance coured by me in tlu is e T=2r l= v I 4 l= 271 me к mitmz 4 K I= TA mi m, tmz 2 and distance cornered by m, s A', from Mechanical Energy conservation + KA12 = ₂ m, 22 A² K (mitm) A'= A KAIR mi con me (mitme) then distance D = l-A' D.- (T-1) A mi M, + m2 without value of m,, we con not calculate UxD.