In the figure below, a ball of mass m = 50 g is shot with speed vi = 19 m/s into

Question

In the figure below, a ball of mass m = 50 g is shot with speed vi = 19 m/s into a barrel of spring gun of mass M = 242 g initially at rest on a frictionless surface. The ball sticks in the barrel at a point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. (a) What is the speed of the spring gun after the ball stops in the barrel? m/s (b) What fraction of initial kinetic energy of the ball is stored in the spring? Here is the image, can't seem to copy it to the question format: http://i.imgur.com/DV1I78h.gif

Explanation / Answer

(a) conservation of linear momentum we get , >> 0.05 x 19 = ( .242 + 0.05) v

v = 3.253 m/s

(b) energy stored >> 1/2 (0.05) (19)^2 - 1/2 (0.242 + 0.05) (3.253)^2= 9.025 - 1.545 = 7.48 J ( change in kinetic energy)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---