Question

A child playing in a swimming pool realizes that it is easy to push a small inflated ball under the surface of the water whereas a large ball requires a lot of force. The child happens to have a styrofoam ball (the shape of the ball will not distort when it is forced under the surface), which he forces under the surface of the water. If the child needs to supply 635 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is pe = 1.000 x 10 kg/m', the density of styrofoam is Plan - 95.0 kg/m, and the acceleration due to gravity is g = 9.81 m/s".

Answer 1

egiven, Tension, T 655 N Density of water, Ps 1.0 X10 kg /ms Denlity of shyraafonm , = kglm? 95 9.= 281 m82 diameter of the ball ball of valu me es densiny ve Mass , m = farce, Fsmg fgrom Force Now, the down wand ferce Thus f =F' v ew g = V founm g + T (Sw- $4enm)

for ball We hnow thet V= TR3 Radius af the ball R-) and s) Using O R=2.3 (Pu-Sram) 471 113 3x635 477 (1.000 t10- 9s.0) l.000 X10- 9s.0) 0.515 he