Hi everybody! So this is my first time using this forum. I'm currently taking AP Physics C: Mechanics in high school and I have some questions concerning Potential Energy and Conservation of Energy. Thanks for taking the time to help me! 1. The problem statement, all variables and given/known data 32. A 4.0-lb block slides along a horizontal frictionless surface at 8 ft/s. It is brought to rest by compressing a very long spring of spring constant (1/8) lb/ft. The maximum spring compressing is: A. 4 ft B. 8 ft (Correct Answer) C. 16 ft D. 2 ft E. 45 ft 33. A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of: A. v sqrt(m/2k) (Correct Answer) B. (1/2)mv^2 C. (1/4)mv^2 D. mv^2/4k E. (1/4)sqrt(mv/k) 34. A 200-lb man jumps out of a window into a fire net 30 ft below. The net stretches 6 ft before bringing the man to rest and tossing him back into the air. The maximum potential energy in (ft*lb) of the net is: A. 7200 (Correct Answer) B. 6000 C. 1800 D. 1200 E. 600 2. Relevant equations Emech = K + U U = 1/2k(x)^2 U = mgh K = 1/2m(v)^2 3. The attempt at a solution 32. 1/2 (1/8) x^2 = 1/4 (4) 8^2 <<<< Doesn't work, don't know how I should be setting up the equation. 33. 1/2 kx^2 = 1/2 mv^2 kx^2 = mv^2 x^2 = mv^2/k x = v sqrt(m/k) <<<< Why am I missing the 2k? 34. mgh = 1/2kx^2 200*32*3 = 1/2*k*6^2 192000 = 18k k = 10,666.67 U = 1/2 (10,666.67) 6^2 <<<< WAYYYY off.