- #1

twotaileddemon

- 260

- 0

What I did makes a lot of sense to me though.. so usually that's a sure sign that I did it wrong.

Thanks for your time ^^;

## Homework Statement

A 10 kg piece of lead is completely submerged in water and suspended from a cable. This takes place at sea level at 4*C. What is the tension in the cable?

## Homework Equations

F_b = W_fluid

That is, the force of bouyancy equals the weight of the fluid that the lead is submerged in.

At 4*C water has a density of 1000 kg/m^3.

## The Attempt at a Solution

Well.. I know tension is acting on the cable (upward) and the force of the bouyancy is (upward) as well. The weight of the lead is (downward). There should be no acceleration. Therefore:

F = ma = T + F_b - mg

F = 0 = T + F_b - mg

T = -F_b + mg

T = -1000 kg/m^3 + (10 kg)(9.8 m/s^2)

T = -1000 kg/m^3 + 98 kg-m/s^2

T = -902 N