A bullet of mass m=0.1 kg is fired with a velocity v0=500 m/s forming an angle θ=30° with the horizontal and gets lodged in a wooden block of mass M=10 kg. The block can roll without friction on a...

A bullet of mass m=0.1 kg is fired with a velocity v0=500 m/s forming an angle θ=30° with the horizontal and gets lodged in a wooden block of mass M=10 kg. The block can roll without friction on a hard floor and is prevented by springs from hitting the wall. Calculate the
amplitude and period of vibration of the block and embedded projectile. Each one of the three springs has a stiffness k=3 kN∕m.