Q. The wheel in the figure below has eight equally spaced spokes and a radius of 30cm. It is mounted on a fixed axle and is spinning at 2.10 rev/s. You want to shoot a 19cm long arrow parallel to this axle and through the wheel without hitting any of spokes. Suppose that the arrow and the spokes are very thin.

Q. A 10gram bullet is fired horizontally from a gun and embeds itself into a 50gram block of wood initially at rest on a wooden horizontal surface. After this collision the wood block slides 100 meters before eventually coming to a stop. Decide the initial velocity of the bullet when it left the gun.