Question

The density of un-set concrete is 2.40 x 10 3 kg/m 3 . When a block with volume 0.0708 m 3 is submerged in the liquid, a force of 66.7 N is needed to keep it from sinking. a. Find the weight of the block.

Answer 1

The answer to your question is weight = 1667 N

Step-by-step explanation:

Data

density = 2.40 x 10³ kg/m³

volume = 0.0708 m³

Force = 66.7 N

weight of the block = ?

- Formula

density = mass / volume

- Solve for mass

mass = density x volume

-Substitution

mass = (2.40 x 10³)(0.0708)

-Result

mass = 169.92 kg

-Calculate the weight of the body

weight = mass x gravity

-Substitution

weight = 169.92 x 9.82

-Simplification

weight = 1666.9 N ≈ 1667 N