I need some help with this question DA piece of putty of mass m = 2kg initially travels at a speed of vo = 15 m/s and thencollides with tip of a vertically hanging meter stick that is free to pivot about its opposite endas shown. After the collision, the putty sticks to the end of the meter stick. The length if themeter stick is 1 m. The mass of the meter stick is M = 3 kg. You may treat the meter stickas having moment of intertia, I = ML.What is the angular velocity of the stick/putty system immediately after the collision?) What is the kinetic energy of the stick/putty system when the stick is vertical but above thepivot (i.e. at the top of the rotation)?What is the angular velocity of the stick/putty system at the top of the rotation ?110.75 m

When no external torque applies on an object, the law of conservation of angular momentum states that no change in angular momentum will occur.Consider the given data as below. Mass of the putty, m=2 kg Mass of the stick, M=3 kg Length of the stick, L=1 m Initial velocity of the putty, vo=15 ms a Calculate the total moment of inertia. ITotal=Istick+Iputty=13ML2+mL2 Substitute known values in the above equation. ITotal=13×3×12+2×12=3 kg·m2 Apply conservation of angular momentum. Angular momentum before collision is equal to the angular momentum after collision about pivot. mvoL=ITotalω2×15×1=3×ωω=10 rads Hence, the angular velocity of the system after collision is ω=10 rads.b Draw the free body diagram as below. After collision only gravitational force working on the system. So mechanical energy of system is conserved during motion. Mechanical energy is equal to the mechanical energy final. KEisystem+PEisystem=KEfsystem+PEfsystem12ITotalω2=KEfsystem+PEfsystem-PEisystem12×3×102=KEfsystem+MgL+mg×2L150=KEfsystem+3×9.8×1+2×9.8×2×1 KEfsystem=81.4 J This is the required kinetic energy at the top of rotation.c Calculate the angular velocity at the top of rotation. KEfsystem=12ITotalωtop281.4=12×3×ωtop2ωtop=7.37 rads Hence, the angular velocity at the top of rotation is ωtop=7.37 rads.