A 2-kg box, moving along a horizontal frictionless surface, hits a spring (k = 5200 N/m) on the other end at a speed of 10 m/s. How long the spring is compressed when the box brought to rest?

A spring with spring constant 20 N/m is compressed a distance of 5.5 cm by a ball with a mass of 208.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 5.5 cm and is also released, leaving the spring at point A. Each object travels up the incline shown in the figure before coming to rest momentarily. Assume the ball rolls, but ignore other effects of friction. (Assume the ball rolls without slipping up the incline until it comes to rest.)   (a) How high above the starting position is the ball when it comes to rest momentarily? m (b) How high above the starting position is the block when it comes to rest momentarily? m

An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal surface, as shown in the figure. The bullet remains lodged in the block. The block then runs into a spring bumper and compresses it by 3.7 cm. The force constant (spring constant) of the spring is 2500 N/m. What was the initial speed  v of the bullet?

A 5.00-gm projectile moving with an initial speed of 400. m/s is fired into and passes through a 1.00-kg block as shown. The block, initially stationary on a frictionless horizontal surface, is connected to a spring with a spring constant k = 900. N/m, If the block moves 5.00 cm to the right after impact find (a) the speed at which the projectile emerges from the block and (b) the energy lost in the collision. HINT: this is not an elastic or inelastic collision, but what concept can you use?