Question

The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in the figure below. If the spring is compressed a distance of 0.200 m and the gun fired vertically as shown, the gun can launch a 16.0-g projectile from rest to a maximum height of 26.0 m above the starting point of the projectile. Figures a and b show a ball in a toy spring gun, oriented with its barrel vertical and opening upwards, as follows. The ball is at the top of the spring, which is compressed a distance x. The ball is still at the top of the spring, but the spring is uncompressed and is at a position marked x = 0. An arrow labeled vector v starts on the ball and extends vertically up.

(b) Neglecting all resistive forces, determine the spring constant.

(c) Neglecting all resistive forces, find the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in Figure (b).

Answer 1

Solution in the uploaded images