A small 10.0-g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 50.0 g and is 100 cm in length. The bug jumps off in the horizontal direction, perpendicular to the bar, with a speed of 20.0 cm/s relative to the table. (a) What is the angular speed of the bar just after the frisky insect leaps? (b) What is the total kinetic energy of the system just after the bug leaps? (c) Where does this energy come from?

Problem (a) Step 1: Mass of the bug m = 10.0 g or 10 x10 Kg or 0.01 Kg 1 Mass of the bar m = 502 g or 50x10 Kg or 0.05 Kg -2 Length of the bar l = 100 cm or 100 x10 m 1m -2 Speed of the bug v = 20.0 cm/s or 20 x10 m/s or 0.2 m/s