A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is applied. A 0.800 kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x=5.0 cm and released from rest at t=0. (b2) What is the frequency,

N 4 99% 16:34 20 rad/s O 2.5 rad/s A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: O 3.8 m/s O 2.4 m/s O 1.8 m/s O 2.1 m/s O 3 m/s

A simple harmonic oscillator consists of a 1.20 kg block attached to a spring. The block is ocillating back and forth along a straight line on a frictionless horizontal surface. A plot of the position of the block (in cm) as a function of time (in seconds) is shown below. What are (a) the spring constant of the spring and (b) the maximum speed and maximum acceleration of the block? (c) What is the velocity of the block at t = 1.50 s? 4. 3- 2- -2- -3- -4- -5+ 0.2 0.4 0.6 0.8 Position (cm)

A spring hangs from the ceiling with an unstretched length of xo = 0.49 m. A mị = 8.3 kg block is hung from the spring, causing the spring to stretch to a length xị = 0.80 m. Find the length x2 of the spring when a m2 = 1.7 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. m2 X2 = т,

A block of mass m = 11.54 kg on a rough horizontal surface is attached to a light spring with spring/force constant k = 2.17  kN/m with the other end fixed. The block is pulled xi­ = 7.66 cm to the right from the equilibrium point and released from the rest. The coefficient of kinetic friction between the block and the rough horizontal surface is μk = 0.2. When the block passes through the equilibrium point, what is the velocity of the block vf in m/s? Keep three significant figures for the answer. g = 9.80 m/s2.

An initially 'un-compressed' spring (x1=0) is observed to compress 0.4 m before stopping and reversing the 26 m/s horizontal velocity of a 100 kg mass. Determine the spring constant in N/mm.