Question

An experiment is done to compare the initial speed of bullets fired from different handguns: a 9.0 mm and
a.44 caliber. the guns are fired into a 10-kg pendulum bob of length l. assume that the 9.0-mm bullet has a mass of 6.0 g and the .44-caliber bullet has a mass of 12 g . if the 9.0-mm bullet causes the pendulum to swing to a maximum angular displacement of 4.3∘ and the .44-caliber bullet causes a displacement of 10.1∘ , find the ratio of the initial speed of the 9.0-mm bullet to the speed of the .44-caliber bullet, (v0)9.0/(v0)44.

Answer 1

Vo = (m+M)*V1/m (conservation of momentum) V1 = âš(2*g*h) where h is the vertical displacement of the bob. (conservation of energy after the impact) h = L*(1-cosÎ) where Î is the angular displacement of the bob. (geometry)