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the density of a 10 kg cube of nickel is 8.9 g/cm³. what would the dens…

Question

the density of a 10 kg cube of nickel is 8.9 g/cm³. what would the density of a 5 kg cube of nickel be? g/cm³. 3. -/1.91 points which of the following are acceptable units for buoyant force? choose all that apply. n pa psi atm kg kg/l lb tons n/m²

Explanation:

First Question (Density of Nickel Cube)

Step1: Recall density definition

Density ($
ho$) is mass ($m$) per unit volume ($V$), $
ho = \frac{m}{V}$. For a substance (nickel), density is an intrinsic property, so it doesn't change with mass (as long as the substance is the same and conditions like temperature/pressure are constant).

Step2: Determine density of 5 kg cube

Since nickel's density is intrinsic, the 5 kg cube of nickel will have the same density as the 10 kg cube, which is $8.9\ \text{g/cm}^3$.

Brief Explanations

Buoyant force is a force. Force units:

  • $\text{N}$ (Newton) is SI unit of force.
  • $\text{lb}$ (pound) is a unit of force (imperial).
  • $\text{tons}$ (ton - force, depending on context) can be a force unit.

Other options: $\text{Pa}$ (pressure), $\text{psi}$ (pressure), $\text{atm}$ (pressure), $\text{kg}$ (mass), $\text{kg/L}$ (density), $\text{N/m}^2$ (pressure) are not force units.

Answer:

$8.9$

Second Question (Units for Buoyant Force)