Lab+13+-+Ballistic+Pendulum+Lab

Lab 13 - Ballistics Pendulum Lab

Vb = (2gh)^(1/2)((Mb + Mp)/Mb) h = 0.02m Mb = 0.0076kg Mp = 0.00865kg d = 2.273m

Vb = (2*9.8*0.02)^(1/2)((0.0076 + 0.00865)/(0.0076)) = 7.75m/s

Kinematic Proof: v 2 = v o 2 + 2a∆x v = √(v o 2 + 2a∆x) v = √(2(9.8)(0.87)) v = 4.129 m/s (Just dropping the ball)

v = v o + at ∆v/a = t t = 4.129/9.8 t = 0.421 seconds to hit the ground

∆x = v o t + 1/2at 2 (2∆x)/(t 2 ) = a 2(2.273)/(0.421 2 ) = a a = 25.649m/s 2 v = √(v o 2 + 2a∆x) v =√(0 2 + 2(25.649)(2.273)) v = 10.798m/s 28.227% error

v = dx/t v = 2.273/0.421 seconds v = 5.399 m/s 43.544% error