1. [11.17 Points] DETAILS SERCP11 13.1.P.OO1. 0/20 Submissions Used MY NOTES ASK YOUR TEACHER A block of mass m = 0.68 kg attached to a spring with force constant 135 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. (Indicate the direction with the sign of your answer. Assume that the positive direction is to the right.) lee llwwwww .. l 63 (a) At that instant, find the force on the block. :1 N (b) At that instant, find its acceleration. Need Help? _' 2. [11.17 Points] DETAILS SERCP11 13.1.P.003. 0/20 Submissions Used MY NOTES ASK YOUR TEACHER The force constant of a spring is 126 N/m. (a) Find the magnitude of the force required to compress the spring by 4.25 cm from its unstretched length. l:] N (b) Find the magnitude of the force required to stretch the spring by 7.48 cm from its unstretched length. :1 N Need Help? _' 3. [-11.17 Points] DETAILS SERCP11 13.2.P.008. 0/20 Submissions Used MY NOTES ASK YOUR TEACHER A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.95 x 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position XI- = 5.40 cm to the right of equilibrium and released from rest. 0 x=x,- (a) Find the the work required to stretch the spring. [:3 (b) Find the speed the block has as it passes through equilibrium. Need Help? _'_' 4. [11.17 Points] DETAILS SERCP11 13.2.P.010. 0/20 Submissions Used MY NOTES ASK YOUR TEACHER An archer pulls her bowstring back 0.335 m by exerting a force that increases uniformly from zero to 205 N. (a) What is the equivalent spring constant of the bow? (b) How much work is done in pulling the bow? :13 Need Help? _ 5. [-l1.17 Points] DETAILS SERCP11 13.2.P.013. 0/20 Submissions Used MY NOTES ASK YOUR TEACHER A 10.0-g bullet is fired into, and embeds itself in, a 2.10-kg block attached to a spring with a force constant of 17.0 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block and the block slides on a frictionless surface? Note: You must use conservation of momentum in this problem because of the inelastic collision between the bullet and block. :J m Need Help? _ 6. [-l1.17 Points] DETAILS SERCP11 13.4.P.019.MI. O/ZO Submissions Used MY NOTES ASK YOUR TEACHER At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. It is observed that the maximum speed of the bunch of bananas is 41.2 cm/s. What is the weight of the bananas in newtons? [2\" Need Help? _'_ 7. [-11.17 Points] DETAILS SERCP11 13.4.P.026. 0/20 Submissions Used MY NOTES ASK YOUR TEACHER When four people with a combined mass of 300 kg sit down in a ZOOOkg car, they find that their weight compresses the springs an additional 0.75 cm. (a) What is the effective force constant of the springs? (b) The four people get out of the car and bounce it up and down. What is the frequency of the car's vibration? :in Need Help? _'_