1. Two blocks of equal mass are each pushed (from rest) along a frictionless surface a distance d. The force applied to block B is four times that applied to block A. What is the velocity of block B, relative to that of block A, vA? a) 4 vA b) 2 vA c) vA d) vA/2 e) vA/4 2. What is the kinetic energy of block B relative to that of block A, KA? a) 4 KA b) 2 KA c) KA d) KA/2 e) KA/4 3. The same work is done compressing spring A or spring B from their equilibrium lengths. The spring constant of spring A is four times that of spring B. How much is spring B compressed relative to spring A, xA? a) 8 xA b) 4 xA c) 2 xA d) xA/2 e) xA/4 f) xA/8 4. What is the maximum force applied to spring B relative to that applied to spring A, FA? a) 8 FA b) 4 FA c) 2 FA d) FA/2 e) FA/4 f) FA/8 For 1. I figure that pushing B with 4 times the force would make it accelerate 4 times as fast, thus making the final velocity 4 times as fast as the velocity of block A if they both start at rest. So I chose a) For 2. I figure that since the velocity of B is 4 times larger than the velocity of A, then the KE = 1/2 m*v2 would make the KE of B 4 times larger than the KE of A, so I chose a) again. For 3. I figure that kA is 4kB. If the work for both is equal, then F*dA = F*dB, and since kA = 4kB, then B is compressed 4 times as much, so I chose b). I am unsure about this one. For 4. I'm kind of confused... Any help at all would be appreciated!