A 6.0-kg box moving at 3.0 m/s on a horizontal, friction-less surface runs into a light spring of force constant 75 N/cm. Use the work–energy theorem to find the maximum compression of the spring.

Solution 37E Work done on a spring when it is compressed by a distance x is, 1 2 W = kx2…..(1) The change in kinetic energy of the box is K = 12× m × (v u )…..(2) Given that, spring constant k = 75 N/cm = 7500 N/m Mass of the box m = 6.0 kg Initial speed of the box...