Question

A small solid sphere of mass M₀, of radius R₀, and of uniform density ρ₀ is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.

(a) The new sphere has density ρ = ρ₀ and mass M > M₀
(b) The new sphere has mass M = M₀ and radius R > R₀
(c) The new sphere has radius R > R₀ and density ρ < ρ₀
(d) The new sphere has mass M = M₀ and density ρ > ρ₀
(e) The new sphere has density ρ = ρ₀ and mass M < M₀

(f) The new sphere has radius R = R₀ and density ρ > ρ₀

Answer 1

(A). If density is constant but mass increase than weight force will increase than water level will increase.

(B) mass is constant so weight is constant than water level is constant

(C) radius is increased means vollume is increased and density ia decreased but mass is same than level will be at same

(D) mass is same so level will same

(E) mass is decreased so water level will decrease

(F) density is increased than mass has increased so level will increased