Question

A 100 kg block of lead with a density of 11,340 kg/m3 is submerged/floating in saltwater with a density of 1024 kg/m3. a) Will the block float? Provide your reasoning and a sketch of the situation. (10 Points) b) What is the force of buoyancy on the lead block? (10 Points) c) What is the force due to gravity on the lead block? d) What is the force of buoyancy on a 100 kg block of wood with a density of 700 kg/m2 if submerged/floating in saltwater with a density of 1024 kg/m. (25 Points) e) What is the force due to gravity on the wooden block? (10 Points) f) Will the block float? Provide your reasoning and a sketch of the situation. (10 Points)

Answer 1

> Pw=1024 kg/m3. { = 11340 kg m = 100kg a> as ļ> Pw, the block will not float on the water. . as mg > B, the 3 block sinks . V x Puxa oyancy = Vo 100 113402 BE 100 x1024x908 113406 I B=88.58N c) Force due to gravity = weight - mg • 100 x 9.8) 981 N 981 98.

dy two tookg/m3 Pwood = 700 kg/m3 Pw = 1024 kg/m3 m= 100kg as Pwood < Pw, the block floats on water . buoyancy - weight of block. = 48 . 100 x 9.81 981N 981 e) Force due to growity = 100x9.81 The Buoyancy (B) = weight (mg). .: Black is balanced & hence floats.