A spring of negligible mass stretches 3.00 cm from its relaxedlength when a force of 6.60 N is applied. A 0.400-kg particle restson a frictionless horizontal surface and is attached to the freeend of the spring. The particle is displaced from the origin to x =5.00 cm and released from rest at t = 0. (Assume that the directionof the initial displacement is positive. Use the exact values youenter to make later calculations.) (a) What is the force constantof the spring? N/m (b) What are the angular frequency ?, thefrequency, and the period of the motion? ? = rad/s f = Hz T = s (c)What is the total energy of the system? J (d) What is the amplitudeof the motion? cm (e) What are the maximum velocity and the maximumacceleration of the particle? vmax = m/s amax = m/s2 (f) Determinethe displacement x of the particle from the equilibrium position att = 0.500 s. cm (g) Determine the velocity and acceleration of theparticle when t = 0.500 s. (Indicate the direction with the sign ofyour answer.) v = m/s a = m/s2
