A ball of mass M is moving horizontally at 6.00m/s. Itcollides inelastically wit

Question

A ball of mass M is moving horizontally at 6.00m/s. Itcollides inelastically with a block with mass 3 M that is initallyhanging at rest from the ceiling on the end of a 70cm wire. Findthe maximum angle through which the block swings after it is hit bythe ball. Please help... :-/ A ball of mass M is moving horizontally at 6.00m/s. Itcollides inelastically with a block with mass 3 M that is initallyhanging at rest from the ceiling on the end of a 70cm wire. Findthe maximum angle through which the block swings after it is hit bythe ball. Please help... :-/

Explanation / Answer

masses m = M           m ' = 3M Initial speed of M is u = 6 m / s Initial velocity of the 3M is u ' = 0 from law of conservation of momentum , m u + m ' u ' = ( m + m' ) v                                                               6M + 0 = 4Mv                                                                        6 = 4 v from this final velocity v = 6/4 = 1.5 m / s we know kinetic energy of the system just ater colliiosn =potential energy at maximum height                                             ( 1/ 2) ( m + m ' ) v ^ 2 = ( m + m ' ) gh                                                                            h = v ^ 2 / 2g                                                                               = 0.1147 m we know h = L ( 1- cos )    1- cos = h / L                  =0.1147 / 0.7         sinceL = length = 70 cm = 0.7 m                 = 0.16399              = 33.27 degrees

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