P15_029

# P15_029 - m = m/V , where m is the mass of the sphere and V...

This preview shows page 1. Sign up to view the full content.

29. (a) The downward force of gravity mg is balanced by the upward buoyant force of the liquid: mg = ρgV s . Here m is the mass of the sphere, ρ is the density of the liquid, and V s is the submerged volume. Thus m = ρV s . The submerged volume is half the total volume of the sphere, so V s = 1 2 (4 π/ 3) r 3 o , where r o is the outer radius. Therefore, m = 2 π 3 ρr 3 o = µ 2 π 3 ³ 800 kg / m 3 ´ (0 . 090 m) 3 =1 . 22 kg . (b) The density ρ m of the material, assumed to be uniform, is given by
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: m = m/V , where m is the mass of the sphere and V is its volume. If r i is the inner radius, the volume is V = 4 3 ( r 3 o r 3 i ) = 4 3 ( (0 . 090 m) 3 (0 . 080 m) 3 ) = 9 . 09 10 4 m 3 . The density is m = 1 . 22 kg 9 . 09 10 4 m 3 = 1 . 3 10 3 kg / m 3 ....
View Full Document

## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

Ask a homework question - tutors are online