Q2. Answer step-wise with detailed explantions (i) A cannon initially quiet, of mass M= 16,0 Kg and negligible dimensions, is bound to a spring of elastic constant k on a horizontal plane without friction. Instantly t = 0 the cannon shoots a bullet of mass m= 0,80 kg with initial speed vo and angle of 60° perpendicular to the horizon. The bullet touches the ground after a time to 14,12 s from the shot and the cannon moves of motion harmonic with period T= 1,45 s. Determine: a) the initial velocity vo of the projectile; b) the recoil speed of the cannon c) the maximum spring compression. (ii) One bullet, of mass m=15gr and velocity v, crosses the mass of a pendulum and emerges with velocity v/2. The speed v forms an angle of 30° with the horizontal line. Let M= 0,5kg be the mass of the pendulum and L=2m the length of the wire, determine: a) The minimum mass speed M of the pendulum, immediately after impact, to complete a complete lap. b) The initial velocity v of the bullet, before the impact, assuming the previous application.

Q2. Answer step-wise with detailed explantions (i) A cannon initially quiet, of mass M= 16,0 Kg and negligible dimensions, is bound to a spring of elastic constant k on a horizontal plane without friction. Instantly t = 0 the cannon shoots a bullet of mass m= 0,80 kg with initial speed vo and angle of 60° perpendicular to the horizon. The bullet touches the ground after a time to 14,12 s from the shot and the cannon moves of motion harmonic with period T= 1,45 s. Determine: a) the initial velocity vo of the projectile; b) the recoil speed of the cannon c) the maximum spring compression. (ii) One bullet, of mass m=15gr and velocity v, crosses the mass of a pendulum and emerges with velocity v/2. The speed v forms an angle of 30° with the horizontal line. Let M= 0,5kg be the mass of the pendulum and L=2m the length of the wire, determine: a) The minimum mass speed M of the pendulum, immediately after impact, to complete a complete lap. b) The initial velocity v of the bullet, before the impact, assuming the previous application.