Question

A block of mass 300 g rests on a smooth horizontal table and can slide freely without any friction. The block is attached to a spring of spring constant 100 N/m, whose other end is fixed to a wall. The block is pushed horizontally till the spring compresses by 12 cm, and then the block is released from rest. (a) Determine the speed of the block as it crosses the equilibrium point of the spring (i.e, where the spring is neither compressed nor stretched). (b) Determine the speed of the block when it has traveled a distance of 20 cm from where it was released. (c) Find the maximum acceleration of the block (magnitude) and state at which points in the block’s motion this value occurs.

Answer 1

A block of mass 300 g rests on a smooth horizontal table and can slide freely without any friction. The block is attached to a spring of spring constant 100 N/m, whose other end is fixed to a wall. The block is pushed horizontally till the spring compresses by 12 cm, and then the block is released from rest. (a) Determine the speed of the block as it crosses the equilibrium point of the spring (i.e, where the spring is neither compressed nor stretched). (b) Determine the speed of the block when it has traveled a distance of 20 cm from where it was released. (c) Find the maximum acceleration of the block (magnitude) and state at which points in the block's motion this value occurs. g). Total Energy constant Emm Todal Energy = 2 x 2 + 2 mu? a constant :: V is maximum when uso So, įx (127104)". I mu? 3x100 ( 12.) žlico)."; :-) 144 0.16V 12 1.300 ) v .. 2 . 2 0 0 . . . . . . . . . . . . . . . . . . . . . . . . . 144 : : :2.2 mis : . . . - V - 30 . . . . . . . . . . . . . . b) 0x3 200m ::- fiz)320 ::::= xy = 8 cm = {K (124102) = }*(8x10+4)+ { mu? > K (144-64) x10^2 = 0.3 v? :>) K gox10-4 = 0.3 v2. L ...

..=) 100 x 80x1054.= 0.342. . . . . . . . . . . 8 . . = V . 1.63 m/s 1:0 . . . . . . . . . c) amax Eman . K aman : kx12x102 100 x 125 Icox 12 ico 0:3 ... 02.. amax.=..40 mig?