In such a case momentum of the ball before impset is the product of its it must be remembered that the horizontal component of mass m and its initial velocity v fust before impact.
momentam of the ball Just before impact shall be equal In the second part of this experiment the Initial veloc- the principle of the conservation of momentum that the to the combined moenenta of the ball and bob an instant ity v will be cheeked by computation from measurements after impact In the bahistic pendulum used in this ex- of the range and vertical distance of fall of the ball when periment the velocity of the pendulum before impact is it is shot horitontally and allowed to fall to the door withaero, and bence its momentum before impact is zero. in the present case of inelastle impact it follows from for the computation of v. Thls value, together with the masses M constant during the impact. (\$), V may be calculated from the meas words, the total momentum of the rystem has remained ured helcht h. (4) that the loss in mementum of the frat body it fust equat to the ourin in momentum of the second body. Y ( M + m ) V = ( M + m ) o k (7) m 1 ? v 1 ? = ? m g d v 1 ? (4) Since the product of mass by change in velocity regre- from which nents the change la memeotum, it follows from Bag. Bubsututing to the potential enerit (2) these values of the aceelerations in Eg. Where an is the thange in velocity of the fint bedy and if reachea its highest polnt Dy equating the kinetic ener er apy is the change in velocity of the second. Calculate the distance the ball will travel usine the equation: * = y 2 x ? (Derived from freely Falling body kinomatics) Measure the height of the ball above the floor ( v ) y = 4357 cm 6. Use equation (G) to calculate the initial velocity of the ball ( v ) before the collsion. Calculate the velocity (V) of the system after the collision using equation (8). Remove the pendulum from the base and measure its mass as well. fo, should be measured between the base and the center of iteavity peint on thet pendutum (s) Calculate ho usinith h = h 1 ? h 2 ? (see fiegure below) 2.
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