A box that has 50 J of kinetic energy slides on a frictionless surface. The box hits a spring and compresses the spring a distance of 25 cm from its equilibrium length. If the same box with the same initial energy slides on a rough surface, it only compresses the spring a distance of 15 cm. How much energy must have been lost by the box when sliding on the rough surface?
The spring of a spring gun has a force constant . When the gun is aimed vertically upward, a 15-g projectile is shot to a height of 5.0 m above the end of the expanded spring, as shown in the accompanying diagram. How much was the spring compressed initially?
Engineers desire to model the magnitude of the elastic force of a bungee cord using the equation
where is the stretch of the cord along its length and is a constant. If it takes 22.0 kJ of work to stretch the cord by 16.7 m, determine the value of the constant .