In a ballistic pendulum an object of mass is fired with an initialspeed at a pendulum bob. The bob has a mass , which is suspended bya rod of length and negligible mass. After the collision, thependulum and object stick together and swing to a maximum angulardisplacement as shown .
A)Find an expression for , the initial speed of the firedobject.
Express your answer in terms of some or all of the variables , , ,and and the acceleration due to gravity, .
B) An experiment is done to compare the initial speed of bulletsfired from different handguns: a 9 and a .44 caliber. The guns arefired into a 10- pendulum bob of length . Assume that the 9- bullethas a mass of 6 and the .44-caliber bullet has a mass of 12 . Ifthe 9- bullet causes the pendulum to swing to a maximum angulardisplacement of 4.3 and the .44-caliber bullet causes adisplacement of 10.1 , find the ratio of the initial speed of the9- bullet to the speed of the .44-caliber bullet, .
Express your answer numerically.
In a ballistic pendulum an object of mass is fired with an initialspeed at a pendulum bob. The bob has a mass , which is suspended bya rod of length and negligible mass. After the collision, thependulum and object stick together and swing to a maximum angulardisplacement as shown .
A)Find an expression for , the initial speed of the firedobject.
Express your answer in terms of some or all of the variables , , ,and and the acceleration due to gravity, .
B) An experiment is done to compare the initial speed of bulletsfired from different handguns: a 9 and a .44 caliber. The guns arefired into a 10- pendulum bob of length . Assume that the 9- bullethas a mass of 6 and the .44-caliber bullet has a mass of 12 . Ifthe 9- bullet causes the pendulum to swing to a maximum angulardisplacement of 4.3 and the .44-caliber bullet causes adisplacement of 10.1 , find the ratio of the initial speed of the9- bullet to the speed of the .44-caliber bullet, .
Express your answer numerically.
