Question

A ballistic pendulum has a mass of M= 150g.A metal ball projectile m= 60g is shot into the pendulam. The initial height of the bottom of the pendulam from the table top is 2cm. The pendulam swings upword to height of 9cm from the table engges with a notched rock and comes to rest. take g= 9.8. Find the initial speed of the projectile ball. draw a diagram.

Answer 1

Here we apply linear momentum conservation for inelastic collision and conservation of mechanical energy after collision and at top point.

04-09 Ane Maus of Pendulum, M = 150gm = 0.15tg mass of projectile, n = 60gm = 0 Obtg. Initial speed of projectile = v e Initially pendulum was at rest. Just after callision, speed. of c h (pendulum + Projectile) = V i c ana As Ine lastic Collision so linear momentum of system will be same just before fafter collesion. - (bilang = (65) Alys - moto = (m+M) ei pea) = 605150) . je of 11% = 3.5621 How Just after callisiont at maximum height, mechanical energy is conserved. Ebottem = Etap sim+M) 6 + (+MOg h, = 0 +Co+Mg tha Here h, = 2cm , che = 9cm . = 6=529 Cha-ch, 0043746

uso or o= 2(9.8)(9-2) (10-2) m/s = 16 = 1.1763 m/s 1 V = 3.50 ogl% = 4.1 m/s to initial speed of projectie = til m/s