1682 A pencil is dropped, point down, into water. If the pencil is released from a height of 0.04 m (measured from the point to the water level), how far will it dive? Treat the pencil as a cylinder of radius 0.40 cm, length 20 cm, and mass 4.0 gm. Ignore the frictional and inertial resistance of the water, but take into account the buoyant force. Hint: Draw a neat sketch in which all variables, etc., are well defined, and then, using an appropriate free- body diagram, make use of Newton's 2nd Law and write the acceleration in the form a = v (dv/dy) --- a 1 A rule when F is a function of y